0.001 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.160 * * * [progress]: [2/2] Setting up program. 0.165 * [progress]: [Phase 2 of 3] Improving. 0.165 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.165 * [simplify]: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 0.165 * * [simplify]: iters left: 6 (17 enodes) 0.169 * * [simplify]: iters left: 5 (66 enodes) 0.201 * * [simplify]: iters left: 4 (115 enodes) 0.227 * * [simplify]: iters left: 3 (316 enodes) 0.404 * * [simplify]: Extracting #0: cost 1 inf + 0 0.404 * * [simplify]: Extracting #1: cost 4 inf + 0 0.404 * * [simplify]: Extracting #2: cost 5 inf + 1 0.404 * * [simplify]: Extracting #3: cost 21 inf + 1 0.405 * * [simplify]: Extracting #4: cost 141 inf + 1 0.405 * * [simplify]: Extracting #5: cost 198 inf + 87 0.406 * * [simplify]: Extracting #6: cost 200 inf + 1646 0.409 * * [simplify]: Extracting #7: cost 138 inf + 13192 0.426 * * [simplify]: Extracting #8: cost 16 inf + 50477 0.452 * * [simplify]: Extracting #9: cost 0 inf + 55914 0.477 * [simplify]: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R) 0.477 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R)) 0.486 * * [progress]: iteration 1 / 4 0.486 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.564 * * * [progress]: generating rewritten candidates 0.564 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.699 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2) 0.713 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 0.727 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.811 * * * [progress]: generating series expansions 0.811 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.813 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 0.813 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 0.813 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 0.813 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 0.813 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 0.813 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 0.813 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 0.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 0.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 0.813 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.813 * [backup-simplify]: Simplify 1/2 into 1/2 0.813 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 0.813 * [taylor]: Taking taylor expansion of phi1 in phi2 0.813 * [backup-simplify]: Simplify phi1 into phi1 0.813 * [taylor]: Taking taylor expansion of phi2 in phi2 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (+ phi1 0) into phi1 0.813 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 0.813 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 0.813 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 0.814 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 0.814 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 0.815 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 0.815 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.815 * [backup-simplify]: Simplify lambda1 into lambda1 0.815 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 0.815 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 0.815 * [taylor]: Taking taylor expansion of phi2 in phi2 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 0.815 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 0.815 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 0.815 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.815 * [backup-simplify]: Simplify lambda2 into lambda2 0.815 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 0.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 0.815 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 0.815 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.815 * [backup-simplify]: Simplify 1/2 into 1/2 0.815 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 0.815 * [taylor]: Taking taylor expansion of phi1 in phi2 0.815 * [backup-simplify]: Simplify phi1 into phi1 0.815 * [taylor]: Taking taylor expansion of phi2 in phi2 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (+ phi1 0) into phi1 0.815 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 0.816 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 0.816 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 0.816 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 0.816 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 0.816 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 0.817 * [taylor]: Taking taylor expansion of phi1 in phi2 0.817 * [backup-simplify]: Simplify phi1 into phi1 0.817 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 0.817 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 0.817 * [taylor]: Taking taylor expansion of 2 in phi2 0.817 * [backup-simplify]: Simplify 2 into 2 0.817 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 0.817 * [taylor]: Taking taylor expansion of phi1 in phi2 0.817 * [backup-simplify]: Simplify phi1 into phi1 0.817 * [taylor]: Taking taylor expansion of phi2 in phi2 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 0.817 * [taylor]: Taking taylor expansion of 2 in phi2 0.817 * [backup-simplify]: Simplify 2 into 2 0.817 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 0.817 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 0.817 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 0.817 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 0.817 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.817 * [backup-simplify]: Simplify 1/2 into 1/2 0.817 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 0.817 * [taylor]: Taking taylor expansion of phi1 in phi2 0.817 * [backup-simplify]: Simplify phi1 into phi1 0.817 * [taylor]: Taking taylor expansion of phi2 in phi2 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (+ phi1 0) into phi1 0.817 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 0.818 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 0.818 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 0.818 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 0.818 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 0.818 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 0.818 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.818 * [backup-simplify]: Simplify lambda2 into lambda2 0.818 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.818 * [backup-simplify]: Simplify lambda1 into lambda1 0.819 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 0.819 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 0.819 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 0.819 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.819 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 0.819 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 0.819 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.819 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 0.820 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 0.820 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 0.820 * [backup-simplify]: Simplify (* phi1 0) into 0 0.821 * [backup-simplify]: Simplify (* 2 0) into 0 0.821 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 0.821 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 0.821 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 0.821 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 0.822 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 0.822 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 0.823 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 0.824 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 0.824 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 0.825 * [backup-simplify]: Simplify (+ 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 0.827 * [backup-simplify]: Simplify (+ 0 1) into 1 0.827 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 0.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.828 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 0.829 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.829 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0.829 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 0.830 * [backup-simplify]: Simplify (+ 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (+ 0 1) into 1 0.831 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 0.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.832 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 0.833 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.833 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.833 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0.833 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.834 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0.834 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.834 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0.834 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0.835 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 0.835 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 0.836 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 0.836 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 0.836 * [backup-simplify]: Simplify (+ 0) into 0 0.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 0.837 * [backup-simplify]: Simplify (+ 0 1) into 1 0.838 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 0.839 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.839 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 0.839 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.840 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.840 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0.840 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 0.841 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 0.841 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 0.842 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 0.843 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 0.845 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 0.845 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 0.845 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 0.845 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 0.845 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 0.846 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.846 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.846 * [backup-simplify]: Simplify 1/2 into 1/2 0.846 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.846 * [taylor]: Taking taylor expansion of phi1 in phi1 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of phi2 in phi1 0.846 * [backup-simplify]: Simplify phi2 into phi2 0.846 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.846 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.846 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.846 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.846 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.846 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.847 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 0.847 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.847 * [backup-simplify]: Simplify lambda1 into lambda1 0.847 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 0.847 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 0.847 * [taylor]: Taking taylor expansion of phi2 in phi1 0.847 * [backup-simplify]: Simplify phi2 into phi2 0.847 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 0.847 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 0.847 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 0.847 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.847 * [backup-simplify]: Simplify lambda2 into lambda2 0.847 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.847 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.847 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.847 * [backup-simplify]: Simplify 1/2 into 1/2 0.847 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.847 * [taylor]: Taking taylor expansion of phi1 in phi1 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of phi2 in phi1 0.848 * [backup-simplify]: Simplify phi2 into phi2 0.848 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.848 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.848 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.848 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.848 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.848 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.849 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 0.849 * [taylor]: Taking taylor expansion of phi1 in phi1 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 0.849 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 0.849 * [taylor]: Taking taylor expansion of 2 in phi1 0.849 * [backup-simplify]: Simplify 2 into 2 0.849 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 0.849 * [taylor]: Taking taylor expansion of phi1 in phi1 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of phi2 in phi1 0.849 * [backup-simplify]: Simplify phi2 into phi2 0.849 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 0.849 * [taylor]: Taking taylor expansion of 2 in phi1 0.849 * [backup-simplify]: Simplify 2 into 2 0.849 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 0.849 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.849 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.849 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.849 * [backup-simplify]: Simplify 1/2 into 1/2 0.849 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.849 * [taylor]: Taking taylor expansion of phi1 in phi1 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of phi2 in phi1 0.849 * [backup-simplify]: Simplify phi2 into phi2 0.849 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.849 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.849 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.849 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.849 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.849 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.850 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 0.850 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.850 * [backup-simplify]: Simplify lambda2 into lambda2 0.850 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.850 * [backup-simplify]: Simplify lambda1 into lambda1 0.850 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.850 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 0.850 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 0.850 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.850 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.850 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.850 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0.850 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0.850 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 0.851 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 0.851 * [backup-simplify]: Simplify (* 0 phi2) into 0 0.851 * [backup-simplify]: Simplify (* 2 0) into 0 0.851 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.851 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 0.851 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 0.851 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 0.851 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 0.852 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 0.852 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 0.853 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 0.853 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 0.853 * [backup-simplify]: Simplify (+ 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (+ 1 0) into 1 0.854 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 0.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.855 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 0.855 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.855 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.855 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 0.856 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 0.859 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.860 * [backup-simplify]: Simplify (+ 0) into 0 0.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 0.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.862 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 0.862 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.862 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 0.862 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.862 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0.863 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0.863 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0.864 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 0.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 0.865 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 0.865 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 0.865 * [backup-simplify]: Simplify (+ 0) into 0 0.865 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 0.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.867 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 0.867 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.867 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.867 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 0.867 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 0.868 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 0.868 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 0.868 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 0.870 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 0.872 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 0.872 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 0.872 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 0.872 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 0.872 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 0.872 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.872 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.872 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.872 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.872 * [backup-simplify]: Simplify 1/2 into 1/2 0.872 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.872 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.872 * [backup-simplify]: Simplify phi1 into phi1 0.872 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.872 * [backup-simplify]: Simplify phi2 into phi2 0.872 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.872 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.872 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.872 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.872 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.873 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.873 * [backup-simplify]: Simplify (- 0) into 0 0.873 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.873 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 0.873 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.873 * [backup-simplify]: Simplify lambda1 into lambda1 0.873 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.873 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.873 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.873 * [backup-simplify]: Simplify phi2 into phi2 0.873 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.873 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.873 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.873 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.873 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.873 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.873 * [backup-simplify]: Simplify phi1 into phi1 0.873 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.873 * [backup-simplify]: Simplify phi2 into phi2 0.873 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.873 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.873 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.874 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.874 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.874 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.874 * [backup-simplify]: Simplify (- 0) into 0 0.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.874 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.874 * [backup-simplify]: Simplify phi1 into phi1 0.874 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 0.874 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.874 * [taylor]: Taking taylor expansion of 2 in lambda2 0.874 * [backup-simplify]: Simplify 2 into 2 0.874 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.874 * [backup-simplify]: Simplify phi1 into phi1 0.874 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.874 * [backup-simplify]: Simplify phi2 into phi2 0.874 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 0.874 * [taylor]: Taking taylor expansion of 2 in lambda2 0.874 * [backup-simplify]: Simplify 2 into 2 0.874 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 0.874 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.874 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.874 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.874 * [backup-simplify]: Simplify 1/2 into 1/2 0.874 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.874 * [backup-simplify]: Simplify phi1 into phi1 0.874 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.874 * [backup-simplify]: Simplify phi2 into phi2 0.874 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.874 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.875 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.875 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.875 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.875 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.875 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.875 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 0.875 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.875 * [backup-simplify]: Simplify lambda1 into lambda1 0.875 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.875 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 0.875 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.875 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.875 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.876 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.876 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.876 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.876 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.876 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.876 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.876 * [backup-simplify]: Simplify (* 0 lambda1) into 0 0.876 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 0.877 * [backup-simplify]: Simplify (* 2 0) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 0.877 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.877 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 0.878 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 0.878 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 0.879 * [backup-simplify]: Simplify (+ 0) into 0 0.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.881 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.882 * [backup-simplify]: Simplify (- 0) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.883 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 0.883 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.883 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 0.885 * [backup-simplify]: Simplify (+ 0) into 0 0.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.888 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.889 * [backup-simplify]: Simplify (- 0) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.890 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 0.890 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 0.891 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 0.891 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 0.891 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 0.892 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 0.892 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 0.892 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 0.893 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 0.893 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 0.893 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.893 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.893 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.893 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.893 * [backup-simplify]: Simplify 1/2 into 1/2 0.893 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.893 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.893 * [backup-simplify]: Simplify phi1 into phi1 0.893 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.893 * [backup-simplify]: Simplify phi2 into phi2 0.893 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.893 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.893 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.893 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.893 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.893 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.893 * [backup-simplify]: Simplify (- 0) into 0 0.893 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.893 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 0.893 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 0.893 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 0.893 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.893 * [backup-simplify]: Simplify phi2 into phi2 0.893 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 0.894 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 0.894 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 0.894 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.894 * [backup-simplify]: Simplify lambda2 into lambda2 0.894 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.894 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.894 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.894 * [backup-simplify]: Simplify 1/2 into 1/2 0.894 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.894 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.894 * [backup-simplify]: Simplify phi1 into phi1 0.894 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.894 * [backup-simplify]: Simplify phi2 into phi2 0.894 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.894 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.894 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.894 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.894 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.894 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.894 * [backup-simplify]: Simplify (- 0) into 0 0.894 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.894 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 0.894 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.894 * [backup-simplify]: Simplify phi1 into phi1 0.894 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 0.894 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 0.894 * [taylor]: Taking taylor expansion of 2 in lambda1 0.894 * [backup-simplify]: Simplify 2 into 2 0.894 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 0.894 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.894 * [backup-simplify]: Simplify phi1 into phi1 0.894 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.895 * [backup-simplify]: Simplify phi2 into phi2 0.895 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 0.895 * [taylor]: Taking taylor expansion of 2 in lambda1 0.895 * [backup-simplify]: Simplify 2 into 2 0.895 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 0.895 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.895 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.895 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.895 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.895 * [backup-simplify]: Simplify 1/2 into 1/2 0.895 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.895 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.895 * [backup-simplify]: Simplify phi1 into phi1 0.895 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.895 * [backup-simplify]: Simplify phi2 into phi2 0.895 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.895 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.895 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.895 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.895 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.895 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.895 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 0.895 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.895 * [backup-simplify]: Simplify lambda2 into lambda2 0.895 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.895 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.896 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.896 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.896 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.896 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 0.896 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.896 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.897 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.897 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.897 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.897 * [backup-simplify]: Simplify (* lambda2 0) into 0 0.897 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 0.897 * [backup-simplify]: Simplify (* 2 0) into 0 0.897 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 0.897 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.898 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 0.898 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 0.898 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.899 * [backup-simplify]: Simplify (+ 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.901 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.901 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.901 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 0.901 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.903 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 0.903 * [backup-simplify]: Simplify (+ 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.905 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.906 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.906 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.907 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.907 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.907 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.907 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 0.907 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 0.908 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 0.908 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 0.908 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 0.908 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.908 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.908 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.908 * [backup-simplify]: Simplify 1/2 into 1/2 0.908 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.908 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.908 * [backup-simplify]: Simplify phi1 into phi1 0.908 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.908 * [backup-simplify]: Simplify phi2 into phi2 0.908 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.908 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.908 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.908 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.908 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.908 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.908 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.908 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 0.908 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 0.909 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 0.909 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.909 * [backup-simplify]: Simplify phi2 into phi2 0.909 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 0.909 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 0.909 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 0.909 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.909 * [backup-simplify]: Simplify lambda2 into lambda2 0.909 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.909 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.909 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.909 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.909 * [backup-simplify]: Simplify 1/2 into 1/2 0.909 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.909 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.909 * [backup-simplify]: Simplify phi1 into phi1 0.909 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.909 * [backup-simplify]: Simplify phi2 into phi2 0.909 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.909 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.909 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.909 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.909 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.909 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.910 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 0.910 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.910 * [backup-simplify]: Simplify phi1 into phi1 0.910 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 0.910 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 0.910 * [taylor]: Taking taylor expansion of 2 in lambda1 0.910 * [backup-simplify]: Simplify 2 into 2 0.910 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 0.910 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.910 * [backup-simplify]: Simplify phi1 into phi1 0.910 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.910 * [backup-simplify]: Simplify phi2 into phi2 0.910 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 0.910 * [taylor]: Taking taylor expansion of 2 in lambda1 0.910 * [backup-simplify]: Simplify 2 into 2 0.910 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 0.910 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.910 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.910 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.910 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.910 * [backup-simplify]: Simplify 1/2 into 1/2 0.910 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.910 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.910 * [backup-simplify]: Simplify phi1 into phi1 0.910 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.910 * [backup-simplify]: Simplify phi2 into phi2 0.910 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.910 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.910 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.910 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.910 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.910 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.911 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 0.911 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.911 * [backup-simplify]: Simplify lambda2 into lambda2 0.911 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.911 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.911 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.911 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.911 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.911 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 0.912 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.912 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.912 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.912 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.912 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.912 * [backup-simplify]: Simplify (* lambda2 0) into 0 0.913 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 0.913 * [backup-simplify]: Simplify (* 2 0) into 0 0.913 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 0.913 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.913 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 0.914 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 0.914 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.914 * [backup-simplify]: Simplify (+ 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.916 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.917 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 0.917 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.918 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.918 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 0.918 * [backup-simplify]: Simplify (+ 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.920 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.922 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.922 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.922 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.922 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.923 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 0.923 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.923 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.923 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.923 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.923 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.923 * [backup-simplify]: Simplify phi2 into phi2 0.923 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.923 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.923 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.923 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.923 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.923 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.923 * [backup-simplify]: Simplify 1/2 into 1/2 0.923 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.923 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.923 * [backup-simplify]: Simplify phi1 into phi1 0.923 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.923 * [backup-simplify]: Simplify phi2 into phi2 0.923 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.923 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.923 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.923 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.923 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.923 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.924 * [backup-simplify]: Simplify (- 0) into 0 0.924 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.924 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.924 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.924 * [backup-simplify]: Simplify phi1 into phi1 0.924 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.924 * [taylor]: Taking taylor expansion of 2 in lambda2 0.924 * [backup-simplify]: Simplify 2 into 2 0.924 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.924 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.924 * [backup-simplify]: Simplify phi1 into phi1 0.924 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.924 * [backup-simplify]: Simplify phi2 into phi2 0.924 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.924 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.924 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.924 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.924 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.924 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.924 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.924 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.925 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.925 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.925 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 0.926 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 0.926 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 0.926 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 0.926 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 0.926 * [taylor]: Taking taylor expansion of phi2 in phi1 0.926 * [backup-simplify]: Simplify phi2 into phi2 0.926 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 0.926 * [taylor]: Taking taylor expansion of phi1 in phi1 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 0.926 * [taylor]: Taking taylor expansion of 2 in phi1 0.926 * [backup-simplify]: Simplify 2 into 2 0.926 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 0.926 * [taylor]: Taking taylor expansion of phi1 in phi1 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of phi2 in phi1 0.927 * [backup-simplify]: Simplify phi2 into phi2 0.927 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.927 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 0.927 * [backup-simplify]: Simplify (* 0 phi2) into 0 0.927 * [backup-simplify]: Simplify (* 2 0) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 0.927 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 0.927 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 0.928 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 0.928 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 0.928 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 0.928 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 0.928 * [taylor]: Taking taylor expansion of phi2 in phi2 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 0.929 * [taylor]: Taking taylor expansion of -1 in lambda2 0.929 * [backup-simplify]: Simplify -1 into -1 0.929 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 0.929 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.929 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.929 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.929 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.929 * [backup-simplify]: Simplify 1/2 into 1/2 0.929 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.929 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.929 * [backup-simplify]: Simplify phi1 into phi1 0.929 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.929 * [backup-simplify]: Simplify phi2 into phi2 0.929 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.929 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.929 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.929 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.929 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.929 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.930 * [backup-simplify]: Simplify (- 0) into 0 0.930 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 0.930 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.930 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.930 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.930 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.930 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.930 * [backup-simplify]: Simplify phi2 into phi2 0.930 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.930 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.930 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.930 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.931 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.931 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.931 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.931 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.931 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.931 * [backup-simplify]: Simplify phi1 into phi1 0.931 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.931 * [backup-simplify]: Simplify phi2 into phi2 0.931 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.931 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.931 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.931 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.931 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.931 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.932 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.932 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.932 * [backup-simplify]: Simplify phi1 into phi1 0.932 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.932 * [taylor]: Taking taylor expansion of 2 in lambda2 0.932 * [backup-simplify]: Simplify 2 into 2 0.932 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.932 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.932 * [backup-simplify]: Simplify phi1 into phi1 0.932 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.932 * [backup-simplify]: Simplify phi2 into phi2 0.932 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.932 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.932 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.933 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.933 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.933 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.933 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.934 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.934 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.934 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0.934 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.934 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.936 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.936 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 0.938 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.938 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 0.938 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 0.939 * [backup-simplify]: Simplify (* -1 0) into 0 0.939 * [taylor]: Taking taylor expansion of 0 in phi1 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in phi1 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of -1 in phi2 0.939 * [backup-simplify]: Simplify -1 into -1 0.939 * [backup-simplify]: Simplify -1 into -1 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.941 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 0.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 0.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.945 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 0.946 * [backup-simplify]: Simplify (- 0) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 0.947 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 0.948 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 0.948 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.949 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 0.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.953 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 0.957 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.962 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 0.962 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 0.962 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 0.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.962 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.962 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.962 * [backup-simplify]: Simplify phi1 into phi1 0.962 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.962 * [backup-simplify]: Simplify phi2 into phi2 0.962 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.962 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.963 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.963 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.963 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.963 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.964 * [backup-simplify]: Simplify (- 0) into 0 0.964 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.964 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.964 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 0.964 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.964 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 0.964 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.964 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.964 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.964 * [backup-simplify]: Simplify 1/2 into 1/2 0.964 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.964 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.964 * [backup-simplify]: Simplify phi1 into phi1 0.964 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.964 * [backup-simplify]: Simplify phi2 into phi2 0.964 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.964 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.964 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.964 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.965 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.965 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.965 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.965 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.965 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.965 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.965 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.965 * [backup-simplify]: Simplify phi2 into phi2 0.965 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.965 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.965 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.965 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.966 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.966 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.966 * [backup-simplify]: Simplify 1/2 into 1/2 0.966 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.966 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.966 * [backup-simplify]: Simplify phi1 into phi1 0.966 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.966 * [backup-simplify]: Simplify phi2 into phi2 0.966 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.966 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.966 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.966 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.966 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.966 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.967 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.967 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.967 * [backup-simplify]: Simplify phi1 into phi1 0.967 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.967 * [taylor]: Taking taylor expansion of 2 in lambda2 0.967 * [backup-simplify]: Simplify 2 into 2 0.967 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.967 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.967 * [backup-simplify]: Simplify phi1 into phi1 0.967 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.967 * [backup-simplify]: Simplify phi2 into phi2 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.968 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 0.968 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 0.968 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.968 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.968 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.968 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.968 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.968 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.969 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.969 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.969 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 0.969 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.969 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.969 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.969 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.969 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.970 * [backup-simplify]: Simplify phi2 into phi2 0.970 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.970 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.970 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.970 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.970 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.970 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.970 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.970 * [backup-simplify]: Simplify 1/2 into 1/2 0.970 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.970 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.970 * [backup-simplify]: Simplify phi1 into phi1 0.970 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.970 * [backup-simplify]: Simplify phi2 into phi2 0.970 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.970 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.970 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.970 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.970 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.970 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.971 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.971 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.971 * [backup-simplify]: Simplify phi1 into phi1 0.971 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.971 * [taylor]: Taking taylor expansion of 2 in lambda2 0.971 * [backup-simplify]: Simplify 2 into 2 0.971 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.971 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.971 * [backup-simplify]: Simplify phi1 into phi1 0.971 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.971 * [backup-simplify]: Simplify phi2 into phi2 0.971 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.971 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.972 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.972 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.972 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.972 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.972 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.972 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.972 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.973 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0.973 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.973 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 0.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 0.980 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.981 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.981 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 0.981 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 0.982 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 0.982 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.982 * [backup-simplify]: Simplify 1/2 into 1/2 0.982 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 0.982 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.982 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.982 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.982 * [backup-simplify]: Simplify 1/2 into 1/2 0.982 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.982 * [taylor]: Taking taylor expansion of phi1 in phi1 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of phi2 in phi1 0.982 * [backup-simplify]: Simplify phi2 into phi2 0.982 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.982 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.982 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.982 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.982 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.983 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 0.983 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 0.983 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 0.983 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 0.983 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 0.983 * [taylor]: Taking taylor expansion of phi2 in phi1 0.983 * [backup-simplify]: Simplify phi2 into phi2 0.983 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 0.983 * [taylor]: Taking taylor expansion of phi1 in phi1 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 0.983 * [taylor]: Taking taylor expansion of 2 in phi1 0.983 * [backup-simplify]: Simplify 2 into 2 0.983 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 0.984 * [taylor]: Taking taylor expansion of phi1 in phi1 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [taylor]: Taking taylor expansion of phi2 in phi1 0.984 * [backup-simplify]: Simplify phi2 into phi2 0.984 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.984 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 0.984 * [backup-simplify]: Simplify (* 0 phi2) into 0 0.984 * [backup-simplify]: Simplify (* 2 0) into 0 0.985 * [backup-simplify]: Simplify (- 0) into 0 0.985 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 0.985 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 0.985 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 0.985 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 0.986 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 0.986 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 0.986 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 0.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 0.987 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 0.987 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.987 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 0.987 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 0.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 0.987 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.987 * [backup-simplify]: Simplify 1/2 into 1/2 0.987 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 0.988 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 0.988 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 0.988 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 0.988 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.988 * [backup-simplify]: Simplify 1/2 into 1/2 0.988 * [taylor]: Taking taylor expansion of phi2 in phi2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.989 * [taylor]: Taking taylor expansion of phi2 in phi2 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.990 * [backup-simplify]: Simplify (/ 1 1) into 1 0.990 * [backup-simplify]: Simplify (+ 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ 0) into 0 0.993 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.995 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.996 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.998 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 0.998 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 0.999 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 0.999 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 0.999 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.999 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.999 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.999 * [backup-simplify]: Simplify 1/2 into 1/2 0.999 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.999 * [taylor]: Taking taylor expansion of phi1 in phi1 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of phi2 in phi1 0.999 * [backup-simplify]: Simplify phi2 into phi2 0.999 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.999 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.999 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.999 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.999 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.999 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.000 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.000 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.000 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.000 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.000 * [taylor]: Taking taylor expansion of phi2 in phi1 1.000 * [backup-simplify]: Simplify phi2 into phi2 1.000 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.000 * [taylor]: Taking taylor expansion of phi1 in phi1 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.000 * [taylor]: Taking taylor expansion of 2 in phi1 1.000 * [backup-simplify]: Simplify 2 into 2 1.000 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.000 * [taylor]: Taking taylor expansion of phi1 in phi1 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [taylor]: Taking taylor expansion of phi2 in phi1 1.000 * [backup-simplify]: Simplify phi2 into phi2 1.000 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.000 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.000 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.001 * [backup-simplify]: Simplify (* 2 0) into 0 1.001 * [backup-simplify]: Simplify (- 0) into 0 1.001 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.001 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.001 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.002 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.003 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.003 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.003 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.003 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.004 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.004 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.004 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.004 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.004 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.004 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.004 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.004 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.004 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.004 * [backup-simplify]: Simplify 1/2 into 1/2 1.004 * [taylor]: Taking taylor expansion of phi2 in phi2 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.006 * [taylor]: Taking taylor expansion of phi2 in phi2 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.006 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [backup-simplify]: Simplify (+ 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.009 * [backup-simplify]: Simplify (* 1 1) into 1 1.010 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.010 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.010 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1.010 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.011 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.011 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.014 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.014 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.014 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.014 * [backup-simplify]: Simplify 1/2 into 1/2 1.014 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.014 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.014 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.014 * [backup-simplify]: Simplify 1/2 into 1/2 1.014 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.014 * [taylor]: Taking taylor expansion of phi1 in phi1 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of phi2 in phi1 1.014 * [backup-simplify]: Simplify phi2 into phi2 1.014 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.014 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.014 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.014 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.015 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.015 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.015 * [backup-simplify]: Simplify (- 0) into 0 1.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.015 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.015 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.015 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.015 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.015 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.015 * [taylor]: Taking taylor expansion of phi2 in phi1 1.015 * [backup-simplify]: Simplify phi2 into phi2 1.015 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.015 * [taylor]: Taking taylor expansion of phi1 in phi1 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.015 * [taylor]: Taking taylor expansion of 2 in phi1 1.015 * [backup-simplify]: Simplify 2 into 2 1.016 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.016 * [taylor]: Taking taylor expansion of phi1 in phi1 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [taylor]: Taking taylor expansion of phi2 in phi1 1.016 * [backup-simplify]: Simplify phi2 into phi2 1.016 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.016 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.016 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.016 * [backup-simplify]: Simplify (* 2 0) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.017 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.017 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.017 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.018 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.018 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.018 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.019 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.019 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.019 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.019 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.019 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.019 * [backup-simplify]: Simplify 1/2 into 1/2 1.019 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.020 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.020 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.020 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.020 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.020 * [backup-simplify]: Simplify 1/2 into 1/2 1.020 * [taylor]: Taking taylor expansion of phi2 in phi2 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.021 * [taylor]: Taking taylor expansion of phi2 in phi2 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (/ 1 1) into 1 1.022 * [backup-simplify]: Simplify (+ 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in phi2 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [taylor]: Taking taylor expansion of 0 in phi2 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.025 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (+ 0 1) into 1 1.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 1.028 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (+ 1 0) into 1 1.029 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 1.029 * [taylor]: Taking taylor expansion of 0 in phi2 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 1.031 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 1.031 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.031 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 1.031 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 1.031 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 1.031 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.032 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.032 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.032 * [backup-simplify]: Simplify 1/2 into 1/2 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.032 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.032 * [taylor]: Taking taylor expansion of phi1 in phi2 1.032 * [backup-simplify]: Simplify phi1 into phi1 1.032 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.032 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.032 * [taylor]: Taking taylor expansion of phi2 in phi2 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [backup-simplify]: Simplify (+ 0 1) into 1 1.033 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.033 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.034 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.034 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.034 * [backup-simplify]: Simplify lambda2 into lambda2 1.034 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.034 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.034 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1.034 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.034 * [taylor]: Taking taylor expansion of phi1 in phi2 1.034 * [backup-simplify]: Simplify phi1 into phi1 1.034 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.034 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.034 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 1.034 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1.035 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.035 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.035 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.035 * [backup-simplify]: Simplify 1/2 into 1/2 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.035 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.035 * [taylor]: Taking taylor expansion of phi1 in phi2 1.035 * [backup-simplify]: Simplify phi1 into phi1 1.035 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.035 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.035 * [taylor]: Taking taylor expansion of phi2 in phi2 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [backup-simplify]: Simplify (+ 0 1) into 1 1.036 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.036 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.036 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.036 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.036 * [backup-simplify]: Simplify lambda1 into lambda1 1.037 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.037 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.037 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1.037 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.037 * [taylor]: Taking taylor expansion of phi2 in phi2 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.038 * [backup-simplify]: Simplify (/ 1 1) into 1 1.038 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 1.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1.038 * [taylor]: Taking taylor expansion of 2 in phi2 1.038 * [backup-simplify]: Simplify 2 into 2 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1.038 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of phi1 in phi2 1.038 * [backup-simplify]: Simplify phi1 into phi1 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (* phi1 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.039 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.039 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 1.039 * [taylor]: Taking taylor expansion of 2 in phi2 1.039 * [backup-simplify]: Simplify 2 into 2 1.039 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 1.039 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.039 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.039 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.039 * [taylor]: Taking taylor expansion of phi1 in phi2 1.039 * [backup-simplify]: Simplify phi1 into phi1 1.039 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.039 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.039 * [taylor]: Taking taylor expansion of phi2 in phi2 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [backup-simplify]: Simplify (+ 0 1) into 1 1.041 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.041 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.041 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 1.041 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.041 * [backup-simplify]: Simplify lambda2 into lambda2 1.041 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.041 * [backup-simplify]: Simplify lambda1 into lambda1 1.041 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.041 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.041 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1.042 * [backup-simplify]: Simplify (+ 0 1) into 1 1.042 * [backup-simplify]: Simplify (+ 0 1) into 1 1.043 * [backup-simplify]: Simplify (+ 0 1) into 1 1.043 * [backup-simplify]: Simplify (+ 1 0) into 1 1.044 * [backup-simplify]: Simplify (sqrt 1) into 1 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1.046 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1.046 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1.046 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1.047 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1.047 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 1.047 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 1.047 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 1.047 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1.047 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.047 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.047 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.047 * [backup-simplify]: Simplify 1/2 into 1/2 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.047 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.047 * [taylor]: Taking taylor expansion of phi1 in phi1 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.048 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.048 * [taylor]: Taking taylor expansion of phi2 in phi1 1.048 * [backup-simplify]: Simplify phi2 into phi2 1.048 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.048 * [backup-simplify]: Simplify (+ 1 0) into 1 1.049 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.049 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.049 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.049 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.049 * [backup-simplify]: Simplify lambda2 into lambda2 1.049 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.049 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.050 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.050 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.050 * [taylor]: Taking taylor expansion of phi1 in phi1 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [backup-simplify]: Simplify (* 1 1) into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1.051 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.051 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.051 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.051 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.051 * [backup-simplify]: Simplify 1/2 into 1/2 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.051 * [taylor]: Taking taylor expansion of phi1 in phi1 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.051 * [taylor]: Taking taylor expansion of phi2 in phi1 1.051 * [backup-simplify]: Simplify phi2 into phi2 1.051 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.052 * [backup-simplify]: Simplify (+ 1 0) into 1 1.052 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.052 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.052 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.052 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.052 * [backup-simplify]: Simplify lambda1 into lambda1 1.053 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.053 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.053 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.053 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.053 * [taylor]: Taking taylor expansion of phi2 in phi1 1.053 * [backup-simplify]: Simplify phi2 into phi2 1.053 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.053 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.053 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 1.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.053 * [taylor]: Taking taylor expansion of 2 in phi1 1.053 * [backup-simplify]: Simplify 2 into 2 1.053 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.053 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.054 * [taylor]: Taking taylor expansion of phi1 in phi1 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [taylor]: Taking taylor expansion of phi2 in phi1 1.054 * [backup-simplify]: Simplify phi2 into phi2 1.054 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.054 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.054 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 1.054 * [taylor]: Taking taylor expansion of 2 in phi1 1.054 * [backup-simplify]: Simplify 2 into 2 1.054 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 1.054 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.054 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.054 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.054 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.054 * [backup-simplify]: Simplify 1/2 into 1/2 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.054 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.054 * [taylor]: Taking taylor expansion of phi1 in phi1 1.054 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (/ 1 1) into 1 1.055 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.055 * [taylor]: Taking taylor expansion of phi2 in phi1 1.055 * [backup-simplify]: Simplify phi2 into phi2 1.055 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.055 * [backup-simplify]: Simplify (+ 1 0) into 1 1.056 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.056 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.056 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 1.056 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.056 * [backup-simplify]: Simplify lambda2 into lambda2 1.056 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.056 * [backup-simplify]: Simplify lambda1 into lambda1 1.056 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.056 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.057 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1.057 * [backup-simplify]: Simplify (+ 1 0) into 1 1.057 * [backup-simplify]: Simplify (+ 0 1) into 1 1.057 * [backup-simplify]: Simplify (+ 1 0) into 1 1.058 * [backup-simplify]: Simplify (sqrt 1) into 1 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.059 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1.059 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1.059 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.060 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1.060 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 1.060 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 1.060 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 1.060 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.060 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.060 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.060 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.060 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.060 * [backup-simplify]: Simplify 1/2 into 1/2 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.060 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.060 * [backup-simplify]: Simplify phi1 into phi1 1.060 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.060 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.060 * [backup-simplify]: Simplify phi2 into phi2 1.060 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.060 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.060 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.060 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.060 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.060 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.060 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.061 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.061 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.061 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.061 * [backup-simplify]: Simplify (* 1 1) into 1 1.061 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.061 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.061 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.061 * [backup-simplify]: Simplify phi1 into phi1 1.061 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.062 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.062 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 1.062 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1.062 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.062 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.062 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.062 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.062 * [backup-simplify]: Simplify 1/2 into 1/2 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.062 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.062 * [backup-simplify]: Simplify phi1 into phi1 1.062 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.062 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.062 * [backup-simplify]: Simplify phi2 into phi2 1.062 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.062 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.062 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.062 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.062 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.062 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.062 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.063 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.063 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.063 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.063 * [backup-simplify]: Simplify lambda1 into lambda1 1.063 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.063 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.063 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.063 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.063 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.063 * [backup-simplify]: Simplify phi2 into phi2 1.063 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.063 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.063 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 1.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.063 * [taylor]: Taking taylor expansion of 2 in lambda2 1.063 * [backup-simplify]: Simplify 2 into 2 1.063 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.063 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.063 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.063 * [backup-simplify]: Simplify phi1 into phi1 1.063 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.063 * [backup-simplify]: Simplify phi2 into phi2 1.063 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.063 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.063 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 1.063 * [taylor]: Taking taylor expansion of 2 in lambda2 1.063 * [backup-simplify]: Simplify 2 into 2 1.063 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 1.063 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.064 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.064 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.064 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.064 * [backup-simplify]: Simplify 1/2 into 1/2 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.064 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.064 * [backup-simplify]: Simplify phi1 into phi1 1.064 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.064 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.064 * [backup-simplify]: Simplify phi2 into phi2 1.064 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.064 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.064 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.064 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.064 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.064 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.064 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.064 * [backup-simplify]: Simplify (- 0) into 0 1.065 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.065 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.065 * [backup-simplify]: Simplify lambda1 into lambda1 1.065 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.065 * [backup-simplify]: Simplify (* 0 lambda1) into 0 1.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1.065 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1.065 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.066 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.066 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.066 * [backup-simplify]: Simplify (+ 0) into 0 1.066 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.068 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.068 * [backup-simplify]: Simplify (- 0) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.070 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.071 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.071 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.071 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1.071 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1.071 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1.071 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1.071 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.071 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.071 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.071 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.071 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.071 * [backup-simplify]: Simplify 1/2 into 1/2 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.071 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.071 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.071 * [backup-simplify]: Simplify phi1 into phi1 1.071 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.071 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.071 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.071 * [backup-simplify]: Simplify phi2 into phi2 1.071 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.072 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.072 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.072 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.072 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.072 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.072 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.072 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.072 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.072 * [backup-simplify]: Simplify lambda2 into lambda2 1.073 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.073 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.073 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.073 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.073 * [backup-simplify]: Simplify phi1 into phi1 1.073 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.073 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.073 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.073 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.073 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.073 * [backup-simplify]: Simplify 1/2 into 1/2 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.073 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.073 * [backup-simplify]: Simplify phi1 into phi1 1.073 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.073 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.073 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.073 * [backup-simplify]: Simplify phi2 into phi2 1.073 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.073 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.073 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.074 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.074 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.074 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.074 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.074 * [backup-simplify]: Simplify (- 0) into 0 1.074 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.074 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.074 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.075 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.075 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.075 * [backup-simplify]: Simplify phi2 into phi2 1.075 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.075 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.075 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.075 * [taylor]: Taking taylor expansion of 2 in lambda1 1.075 * [backup-simplify]: Simplify 2 into 2 1.075 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.075 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.075 * [backup-simplify]: Simplify phi1 into phi1 1.075 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.075 * [backup-simplify]: Simplify phi2 into phi2 1.075 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.075 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.075 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1.075 * [taylor]: Taking taylor expansion of 2 in lambda1 1.075 * [backup-simplify]: Simplify 2 into 2 1.075 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.075 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.075 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.075 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.075 * [backup-simplify]: Simplify 1/2 into 1/2 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.075 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.075 * [backup-simplify]: Simplify phi1 into phi1 1.075 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.075 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.076 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.076 * [backup-simplify]: Simplify phi2 into phi2 1.076 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.076 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.076 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.076 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.076 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.076 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.076 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.076 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.076 * [backup-simplify]: Simplify lambda2 into lambda2 1.076 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.077 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.077 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.077 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.077 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.078 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.078 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.078 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.078 * [backup-simplify]: Simplify (+ 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.083 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.083 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.083 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.083 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.083 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1.084 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1.084 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1.084 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.084 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.084 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.084 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.084 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.084 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.084 * [backup-simplify]: Simplify phi1 into phi1 1.084 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.084 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.084 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.084 * [backup-simplify]: Simplify phi2 into phi2 1.084 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.084 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.084 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.084 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.084 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.084 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.084 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.085 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.085 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.085 * [backup-simplify]: Simplify lambda2 into lambda2 1.085 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.085 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.085 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.085 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.085 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.085 * [backup-simplify]: Simplify phi1 into phi1 1.085 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.085 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.085 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1.085 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.085 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.085 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.085 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.085 * [backup-simplify]: Simplify 1/2 into 1/2 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.085 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.085 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.085 * [backup-simplify]: Simplify phi1 into phi1 1.085 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.085 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.085 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.086 * [backup-simplify]: Simplify phi2 into phi2 1.086 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.086 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.086 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.086 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.086 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.086 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.086 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.086 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.087 * [backup-simplify]: Simplify (* 1 1) into 1 1.087 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.087 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.087 * [backup-simplify]: Simplify phi2 into phi2 1.087 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.087 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.087 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.087 * [taylor]: Taking taylor expansion of 2 in lambda1 1.087 * [backup-simplify]: Simplify 2 into 2 1.087 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.087 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.087 * [backup-simplify]: Simplify phi1 into phi1 1.087 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.087 * [backup-simplify]: Simplify phi2 into phi2 1.087 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.087 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.087 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1.087 * [taylor]: Taking taylor expansion of 2 in lambda1 1.087 * [backup-simplify]: Simplify 2 into 2 1.087 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.088 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.088 * [backup-simplify]: Simplify 1/2 into 1/2 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.088 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.088 * [backup-simplify]: Simplify phi1 into phi1 1.088 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.088 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.088 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.088 * [backup-simplify]: Simplify phi2 into phi2 1.088 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.088 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.088 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.088 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.088 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.088 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.088 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.089 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.089 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.089 * [backup-simplify]: Simplify lambda2 into lambda2 1.089 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.089 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.090 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.090 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.090 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.090 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.091 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.091 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.091 * [backup-simplify]: Simplify (+ 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.094 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.099 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.099 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.099 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.100 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.100 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.100 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.100 * [backup-simplify]: Simplify 1/2 into 1/2 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.100 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.100 * [backup-simplify]: Simplify phi1 into phi1 1.100 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.100 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.100 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.100 * [backup-simplify]: Simplify phi2 into phi2 1.101 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.101 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.101 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.101 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.101 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.101 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1.101 * [taylor]: Taking taylor expansion of -1 in lambda2 1.101 * [backup-simplify]: Simplify -1 into -1 1.101 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1.101 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.101 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.101 * [backup-simplify]: Simplify 1/2 into 1/2 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.101 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.101 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.101 * [backup-simplify]: Simplify phi1 into phi1 1.101 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.101 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.101 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.101 * [backup-simplify]: Simplify phi2 into phi2 1.102 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.102 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.102 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.102 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.102 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.102 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.102 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.103 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.103 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.103 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.103 * [taylor]: Taking taylor expansion of -1 in phi1 1.103 * [backup-simplify]: Simplify -1 into -1 1.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.104 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.104 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.104 * [backup-simplify]: Simplify 1/2 into 1/2 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.104 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.104 * [taylor]: Taking taylor expansion of phi1 in phi1 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.104 * [taylor]: Taking taylor expansion of phi2 in phi1 1.104 * [backup-simplify]: Simplify phi2 into phi2 1.104 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.105 * [backup-simplify]: Simplify (+ 1 0) into 1 1.105 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.105 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.105 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.106 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.106 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.106 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.106 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.106 * [backup-simplify]: Simplify 1/2 into 1/2 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.106 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.106 * [taylor]: Taking taylor expansion of phi1 in phi1 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.107 * [taylor]: Taking taylor expansion of phi2 in phi1 1.107 * [backup-simplify]: Simplify phi2 into phi2 1.107 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.112 * [backup-simplify]: Simplify (+ 1 0) into 1 1.112 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.113 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.118 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 1.122 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.123 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 1.123 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.123 * [backup-simplify]: Simplify (+ 0) into 0 1.124 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.127 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.127 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.128 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1.129 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1.130 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1.130 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.130 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1.132 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.132 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.132 * [backup-simplify]: Simplify 1/2 into 1/2 1.132 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.132 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.132 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.132 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.132 * [backup-simplify]: Simplify phi2 into phi2 1.132 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.132 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.132 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.132 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.132 * [backup-simplify]: Simplify phi1 into phi1 1.133 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.133 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.133 * [taylor]: Taking taylor expansion of 2 in lambda2 1.133 * [backup-simplify]: Simplify 2 into 2 1.133 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.133 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.133 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.133 * [backup-simplify]: Simplify phi1 into phi1 1.133 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.133 * [backup-simplify]: Simplify phi2 into phi2 1.133 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.133 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.133 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.133 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.133 * [backup-simplify]: Simplify 1/2 into 1/2 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.133 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.133 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.133 * [backup-simplify]: Simplify phi1 into phi1 1.133 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.133 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.133 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.133 * [backup-simplify]: Simplify phi2 into phi2 1.133 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.134 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.134 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.134 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.134 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.134 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.134 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.134 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.135 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.135 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.135 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.136 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.136 * [backup-simplify]: Simplify (+ 0) into 0 1.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.140 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.142 * [taylor]: Taking taylor expansion of 0 in phi1 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (+ 0) into 0 1.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [taylor]: Taking taylor expansion of 0 in phi1 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.146 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1.147 * [taylor]: Taking taylor expansion of -1 in phi2 1.147 * [backup-simplify]: Simplify -1 into -1 1.147 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.147 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.147 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.147 * [backup-simplify]: Simplify 1/2 into 1/2 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.147 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.147 * [taylor]: Taking taylor expansion of phi1 in phi2 1.147 * [backup-simplify]: Simplify phi1 into phi1 1.147 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.147 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.147 * [taylor]: Taking taylor expansion of phi2 in phi2 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.148 * [backup-simplify]: Simplify (+ 0 1) into 1 1.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.148 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.148 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.149 * [backup-simplify]: Simplify 1/2 into 1/2 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.149 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.149 * [taylor]: Taking taylor expansion of phi1 in phi2 1.149 * [backup-simplify]: Simplify phi1 into phi1 1.149 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.149 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.149 * [taylor]: Taking taylor expansion of phi2 in phi2 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.150 * [backup-simplify]: Simplify (+ 0 1) into 1 1.150 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.150 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.151 * [backup-simplify]: Simplify (+ 0) into 0 1.151 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.154 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.155 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1.156 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1.157 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.158 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.162 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.163 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1.169 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.172 * [backup-simplify]: Simplify (+ 0 0) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.174 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.176 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.180 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.180 * [backup-simplify]: Simplify 1/2 into 1/2 1.180 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.180 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1.180 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1.180 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1.180 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.181 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.181 * [backup-simplify]: Simplify phi2 into phi2 1.181 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.181 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 1.181 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1.181 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.181 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1.181 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1.181 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.182 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.182 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.182 * [backup-simplify]: Simplify phi1 into phi1 1.182 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.182 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 1.182 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1.182 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1.182 * [taylor]: Taking taylor expansion of 2 in lambda2 1.182 * [backup-simplify]: Simplify 2 into 2 1.182 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1.182 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1.183 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.183 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.183 * [backup-simplify]: Simplify phi1 into phi1 1.183 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.183 * [backup-simplify]: Simplify phi2 into phi2 1.183 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.183 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 1.183 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.183 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1.183 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.183 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.184 * [backup-simplify]: Simplify 1/2 into 1/2 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.184 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.184 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.184 * [backup-simplify]: Simplify phi1 into phi1 1.184 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.184 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.184 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.184 * [backup-simplify]: Simplify phi2 into phi2 1.184 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.184 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.184 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.184 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.185 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.185 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.185 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.185 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.185 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.185 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.185 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.186 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.186 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.186 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.186 * [backup-simplify]: Simplify 1/2 into 1/2 1.186 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.186 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.186 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.186 * [taylor]: Taking taylor expansion of phi2 in phi1 1.186 * [backup-simplify]: Simplify phi2 into phi2 1.186 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.186 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.186 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.186 * [taylor]: Taking taylor expansion of phi1 in phi1 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (* 1 1) into 1 1.187 * [backup-simplify]: Simplify (/ 1 1) into 1 1.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.187 * [taylor]: Taking taylor expansion of 2 in phi1 1.187 * [backup-simplify]: Simplify 2 into 2 1.187 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.187 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.187 * [taylor]: Taking taylor expansion of phi1 in phi1 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of phi2 in phi1 1.187 * [backup-simplify]: Simplify phi2 into phi2 1.187 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.187 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.187 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.188 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.188 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.188 * [backup-simplify]: Simplify 1/2 into 1/2 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.188 * [taylor]: Taking taylor expansion of phi1 in phi1 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.188 * [taylor]: Taking taylor expansion of phi2 in phi1 1.188 * [backup-simplify]: Simplify phi2 into phi2 1.188 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.188 * [backup-simplify]: Simplify (+ 1 0) into 1 1.188 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.189 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.189 * [backup-simplify]: Simplify (+ 0 1) into 1 1.189 * [backup-simplify]: Simplify (+ 1 0) into 1 1.189 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.190 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.190 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.191 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.191 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.191 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.191 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.191 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.191 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.191 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.191 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.191 * [backup-simplify]: Simplify 1/2 into 1/2 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.191 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.191 * [taylor]: Taking taylor expansion of phi1 in phi2 1.191 * [backup-simplify]: Simplify phi1 into phi1 1.191 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.191 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.191 * [taylor]: Taking taylor expansion of phi2 in phi2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (/ 1 1) into 1 1.192 * [backup-simplify]: Simplify (+ 0 1) into 1 1.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.192 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.192 * [taylor]: Taking taylor expansion of phi2 in phi2 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.193 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.193 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.193 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.193 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.193 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.193 * [backup-simplify]: Simplify 1/2 into 1/2 1.193 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.193 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.193 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.193 * [taylor]: Taking taylor expansion of phi2 in phi1 1.193 * [backup-simplify]: Simplify phi2 into phi2 1.193 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.193 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.194 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.194 * [taylor]: Taking taylor expansion of phi1 in phi1 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (* 1 1) into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.194 * [taylor]: Taking taylor expansion of 2 in phi1 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.194 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.194 * [taylor]: Taking taylor expansion of phi1 in phi1 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of phi2 in phi1 1.194 * [backup-simplify]: Simplify phi2 into phi2 1.194 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.195 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.195 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.195 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.195 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.195 * [backup-simplify]: Simplify 1/2 into 1/2 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.195 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.195 * [taylor]: Taking taylor expansion of phi1 in phi1 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.195 * [taylor]: Taking taylor expansion of phi2 in phi1 1.195 * [backup-simplify]: Simplify phi2 into phi2 1.195 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.195 * [backup-simplify]: Simplify (+ 1 0) into 1 1.196 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.196 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.196 * [backup-simplify]: Simplify (+ 0 1) into 1 1.196 * [backup-simplify]: Simplify (+ 1 0) into 1 1.196 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ 0 0) into 0 1.198 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.198 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.198 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.198 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.198 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.198 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.198 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.198 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.198 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.198 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.199 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.199 * [backup-simplify]: Simplify 1/2 into 1/2 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.199 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.199 * [taylor]: Taking taylor expansion of phi1 in phi2 1.199 * [backup-simplify]: Simplify phi1 into phi1 1.199 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.199 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.199 * [taylor]: Taking taylor expansion of phi2 in phi2 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (/ 1 1) into 1 1.199 * [backup-simplify]: Simplify (+ 0 1) into 1 1.200 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.200 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.200 * [taylor]: Taking taylor expansion of phi2 in phi2 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.200 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.200 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.200 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.203 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.205 * [taylor]: Taking taylor expansion of 0 in phi1 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.207 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.208 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.208 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [taylor]: Taking taylor expansion of 0 in phi1 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in phi2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in phi2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.209 * [taylor]: Taking taylor expansion of 0 in phi2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [taylor]: Taking taylor expansion of 0 in phi2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.209 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.210 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1.211 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 1.211 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.211 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 1.211 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1.211 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.211 * [taylor]: Taking taylor expansion of phi2 in phi2 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.211 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1.212 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.212 * [taylor]: Taking taylor expansion of phi1 in phi2 1.212 * [backup-simplify]: Simplify phi1 into phi1 1.212 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.212 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.212 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 1.212 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1.212 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.212 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.212 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.212 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.212 * [backup-simplify]: Simplify -1/2 into -1/2 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.212 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.212 * [taylor]: Taking taylor expansion of phi1 in phi2 1.212 * [backup-simplify]: Simplify phi1 into phi1 1.212 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.212 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.212 * [taylor]: Taking taylor expansion of phi2 in phi2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [backup-simplify]: Simplify (+ 0 1) into 1 1.213 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.213 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.213 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.213 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.213 * [backup-simplify]: Simplify lambda1 into lambda1 1.213 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.213 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.213 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.213 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1.213 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.213 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.213 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.213 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.213 * [backup-simplify]: Simplify -1/2 into -1/2 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.213 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.213 * [taylor]: Taking taylor expansion of phi1 in phi2 1.213 * [backup-simplify]: Simplify phi1 into phi1 1.213 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.213 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.213 * [taylor]: Taking taylor expansion of phi2 in phi2 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (/ 1 1) into 1 1.214 * [backup-simplify]: Simplify (+ 0 1) into 1 1.214 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.214 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.214 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.214 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.214 * [backup-simplify]: Simplify lambda2 into lambda2 1.215 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.215 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.215 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.215 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 1.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1.215 * [taylor]: Taking taylor expansion of 2 in phi2 1.215 * [backup-simplify]: Simplify 2 into 2 1.215 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1.215 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.215 * [taylor]: Taking taylor expansion of phi1 in phi2 1.215 * [backup-simplify]: Simplify phi1 into phi1 1.215 * [taylor]: Taking taylor expansion of phi2 in phi2 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (* phi1 0) into 0 1.215 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.215 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.215 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 1.215 * [taylor]: Taking taylor expansion of 2 in phi2 1.215 * [backup-simplify]: Simplify 2 into 2 1.215 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 1.215 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.215 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.215 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.215 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.215 * [backup-simplify]: Simplify -1/2 into -1/2 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.215 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.215 * [taylor]: Taking taylor expansion of phi1 in phi2 1.215 * [backup-simplify]: Simplify phi1 into phi1 1.215 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.215 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.215 * [taylor]: Taking taylor expansion of phi2 in phi2 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [backup-simplify]: Simplify (+ 0 1) into 1 1.216 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.216 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.216 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 1.216 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.216 * [backup-simplify]: Simplify lambda1 into lambda1 1.216 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.216 * [backup-simplify]: Simplify lambda2 into lambda2 1.217 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.217 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1.217 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1.217 * [backup-simplify]: Simplify (+ 1 0) into 1 1.217 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (sqrt 1) into 1 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1.219 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1.219 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1.219 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1.219 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1.219 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 1.219 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.219 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.219 * [taylor]: Taking taylor expansion of phi2 in phi1 1.219 * [backup-simplify]: Simplify phi2 into phi2 1.219 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.219 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.219 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.220 * [taylor]: Taking taylor expansion of phi1 in phi1 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (* 1 1) into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 1.220 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1.220 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.220 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.220 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.220 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.220 * [backup-simplify]: Simplify -1/2 into -1/2 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.220 * [taylor]: Taking taylor expansion of phi1 in phi1 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.220 * [taylor]: Taking taylor expansion of phi2 in phi1 1.220 * [backup-simplify]: Simplify phi2 into phi2 1.221 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.221 * [backup-simplify]: Simplify (+ 1 0) into 1 1.221 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.221 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.221 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.221 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.221 * [backup-simplify]: Simplify lambda1 into lambda1 1.221 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.221 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.222 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.222 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.222 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.222 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.222 * [backup-simplify]: Simplify -1/2 into -1/2 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.222 * [taylor]: Taking taylor expansion of phi1 in phi1 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (/ 1 1) into 1 1.222 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.222 * [taylor]: Taking taylor expansion of phi2 in phi1 1.222 * [backup-simplify]: Simplify phi2 into phi2 1.222 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.222 * [backup-simplify]: Simplify (+ 1 0) into 1 1.223 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.223 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.223 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.223 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.223 * [backup-simplify]: Simplify lambda2 into lambda2 1.223 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.223 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.223 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.223 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 1.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.223 * [taylor]: Taking taylor expansion of 2 in phi1 1.223 * [backup-simplify]: Simplify 2 into 2 1.223 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.223 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.223 * [taylor]: Taking taylor expansion of phi1 in phi1 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [taylor]: Taking taylor expansion of phi2 in phi1 1.223 * [backup-simplify]: Simplify phi2 into phi2 1.223 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.224 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.224 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 1.224 * [taylor]: Taking taylor expansion of 2 in phi1 1.224 * [backup-simplify]: Simplify 2 into 2 1.224 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.224 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.224 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.224 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.224 * [backup-simplify]: Simplify -1/2 into -1/2 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.224 * [taylor]: Taking taylor expansion of phi1 in phi1 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.224 * [taylor]: Taking taylor expansion of phi2 in phi1 1.224 * [backup-simplify]: Simplify phi2 into phi2 1.224 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.224 * [backup-simplify]: Simplify (+ 1 0) into 1 1.225 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.225 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.225 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 1.225 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.225 * [backup-simplify]: Simplify lambda1 into lambda1 1.225 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.225 * [backup-simplify]: Simplify lambda2 into lambda2 1.225 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.225 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1.225 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.226 * [backup-simplify]: Simplify (+ 0 1) into 1 1.229 * [backup-simplify]: Simplify (+ 1 0) into 1 1.230 * [backup-simplify]: Simplify (sqrt 1) into 1 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.233 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1.233 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1.233 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.233 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1.234 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 1.234 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.234 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.234 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.234 * [backup-simplify]: Simplify phi2 into phi2 1.234 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.234 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.234 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.234 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.234 * [backup-simplify]: Simplify phi1 into phi1 1.234 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.235 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.235 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 1.235 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1.235 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.235 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.235 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.235 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.235 * [backup-simplify]: Simplify -1/2 into -1/2 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.235 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.235 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.235 * [backup-simplify]: Simplify phi1 into phi1 1.235 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.235 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.235 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.235 * [backup-simplify]: Simplify phi2 into phi2 1.235 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.235 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.235 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.235 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.236 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.236 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.236 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.237 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.237 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.237 * [backup-simplify]: Simplify lambda1 into lambda1 1.237 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.237 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.237 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.237 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.237 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.237 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.237 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.237 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.237 * [backup-simplify]: Simplify -1/2 into -1/2 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.237 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.237 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.237 * [backup-simplify]: Simplify phi1 into phi1 1.238 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.238 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.238 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.238 * [backup-simplify]: Simplify phi2 into phi2 1.238 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.238 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.238 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.238 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.238 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.238 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.238 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.239 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.239 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.239 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.240 * [backup-simplify]: Simplify (* 1 1) into 1 1.240 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.240 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 1.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.240 * [taylor]: Taking taylor expansion of 2 in lambda2 1.240 * [backup-simplify]: Simplify 2 into 2 1.240 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.240 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.240 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.240 * [backup-simplify]: Simplify phi1 into phi1 1.240 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.240 * [backup-simplify]: Simplify phi2 into phi2 1.240 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.240 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.240 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 1.241 * [taylor]: Taking taylor expansion of 2 in lambda2 1.241 * [backup-simplify]: Simplify 2 into 2 1.241 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 1.241 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.241 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.241 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.241 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.241 * [backup-simplify]: Simplify -1/2 into -1/2 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.241 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.241 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.241 * [backup-simplify]: Simplify phi1 into phi1 1.241 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.241 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.241 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.241 * [backup-simplify]: Simplify phi2 into phi2 1.241 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.241 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.241 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.241 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.242 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.242 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.242 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.243 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 1.243 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.243 * [backup-simplify]: Simplify lambda1 into lambda1 1.243 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.243 * [backup-simplify]: Simplify (* lambda1 0) into 0 1.244 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 1.244 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1.244 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.244 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.245 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.245 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.245 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.245 * [backup-simplify]: Simplify (+ 0) into 0 1.246 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.249 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.253 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.253 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.254 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.254 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1.254 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.255 * [backup-simplify]: Simplify phi2 into phi2 1.255 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.255 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.255 * [backup-simplify]: Simplify phi1 into phi1 1.255 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.255 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.255 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.255 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.255 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.255 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.255 * [backup-simplify]: Simplify -1/2 into -1/2 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.255 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.255 * [backup-simplify]: Simplify phi1 into phi1 1.255 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.255 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.256 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.256 * [backup-simplify]: Simplify phi2 into phi2 1.256 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.256 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.256 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.256 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.256 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.256 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.256 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.257 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.257 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.258 * [backup-simplify]: Simplify (* 1 1) into 1 1.258 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.258 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.258 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.258 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.258 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.258 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.258 * [backup-simplify]: Simplify -1/2 into -1/2 1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.258 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.258 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.258 * [backup-simplify]: Simplify phi1 into phi1 1.258 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.258 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.258 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.259 * [backup-simplify]: Simplify phi2 into phi2 1.259 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.259 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.259 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.259 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.259 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.259 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.259 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.260 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.260 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.260 * [backup-simplify]: Simplify lambda2 into lambda2 1.260 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.260 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.261 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.261 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.261 * [taylor]: Taking taylor expansion of 2 in lambda1 1.261 * [backup-simplify]: Simplify 2 into 2 1.261 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.261 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.261 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.261 * [backup-simplify]: Simplify phi1 into phi1 1.261 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.261 * [backup-simplify]: Simplify phi2 into phi2 1.261 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.261 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.261 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1.261 * [taylor]: Taking taylor expansion of 2 in lambda1 1.261 * [backup-simplify]: Simplify 2 into 2 1.261 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1.261 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.261 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.261 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.261 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.261 * [backup-simplify]: Simplify -1/2 into -1/2 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.261 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.261 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.261 * [backup-simplify]: Simplify phi1 into phi1 1.261 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.262 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.262 * [backup-simplify]: Simplify phi2 into phi2 1.262 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.262 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.262 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.262 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.262 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.262 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.262 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.263 * [backup-simplify]: Simplify (- 0) into 0 1.263 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.263 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1.263 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.263 * [backup-simplify]: Simplify lambda2 into lambda2 1.263 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.263 * [backup-simplify]: Simplify (* 0 lambda2) into 0 1.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1.264 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.264 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.265 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.265 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.265 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.265 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.266 * [backup-simplify]: Simplify (+ 0) into 0 1.266 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.269 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.273 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.273 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.274 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.274 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.274 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.274 * [backup-simplify]: Simplify phi2 into phi2 1.274 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.274 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.274 * [backup-simplify]: Simplify phi1 into phi1 1.274 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.274 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.274 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.274 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.274 * [backup-simplify]: Simplify -1/2 into -1/2 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.274 * [backup-simplify]: Simplify phi1 into phi1 1.274 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.274 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.274 * [backup-simplify]: Simplify phi2 into phi2 1.274 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.275 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.275 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.275 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.275 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.275 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.275 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.275 * [backup-simplify]: Simplify (- 0) into 0 1.275 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.275 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.275 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.276 * [backup-simplify]: Simplify (* 1 1) into 1 1.276 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.276 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.276 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.276 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.276 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.276 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.276 * [backup-simplify]: Simplify -1/2 into -1/2 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.276 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.276 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.276 * [backup-simplify]: Simplify phi1 into phi1 1.276 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.276 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.276 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.276 * [backup-simplify]: Simplify phi2 into phi2 1.276 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.276 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.276 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.276 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.277 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.277 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.277 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.277 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.277 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.277 * [backup-simplify]: Simplify lambda2 into lambda2 1.277 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.277 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.277 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.277 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.278 * [taylor]: Taking taylor expansion of 2 in lambda1 1.278 * [backup-simplify]: Simplify 2 into 2 1.278 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.278 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.278 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.278 * [backup-simplify]: Simplify phi1 into phi1 1.278 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.278 * [backup-simplify]: Simplify phi2 into phi2 1.278 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.278 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.278 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1.278 * [taylor]: Taking taylor expansion of 2 in lambda1 1.278 * [backup-simplify]: Simplify 2 into 2 1.278 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1.278 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.278 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.278 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.278 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.278 * [backup-simplify]: Simplify -1/2 into -1/2 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.278 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.278 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.278 * [backup-simplify]: Simplify phi1 into phi1 1.278 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.278 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.278 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.278 * [backup-simplify]: Simplify phi2 into phi2 1.278 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.278 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.278 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.278 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.278 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.278 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.278 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.279 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1.279 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.279 * [backup-simplify]: Simplify lambda2 into lambda2 1.279 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.279 * [backup-simplify]: Simplify (* 0 lambda2) into 0 1.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1.280 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.280 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.280 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.280 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.280 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.280 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.281 * [backup-simplify]: Simplify (+ 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.283 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.283 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.286 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.286 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.286 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.286 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.287 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.287 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.287 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.287 * [backup-simplify]: Simplify -1/2 into -1/2 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.287 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.287 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.287 * [backup-simplify]: Simplify phi1 into phi1 1.287 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.287 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.287 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.287 * [backup-simplify]: Simplify phi2 into phi2 1.287 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.287 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.287 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.287 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.287 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.287 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1.287 * [taylor]: Taking taylor expansion of -1 in lambda2 1.287 * [backup-simplify]: Simplify -1 into -1 1.287 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1.287 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.287 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.287 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.287 * [backup-simplify]: Simplify -1/2 into -1/2 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.287 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.287 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.287 * [backup-simplify]: Simplify phi1 into phi1 1.287 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.287 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.287 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.287 * [backup-simplify]: Simplify phi2 into phi2 1.287 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.287 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.287 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.288 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.288 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.288 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.288 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.288 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.289 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.289 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.289 * [taylor]: Taking taylor expansion of -1 in phi1 1.289 * [backup-simplify]: Simplify -1 into -1 1.289 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.289 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.289 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.289 * [backup-simplify]: Simplify -1/2 into -1/2 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.289 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.289 * [taylor]: Taking taylor expansion of phi1 in phi1 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.289 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.289 * [taylor]: Taking taylor expansion of phi2 in phi1 1.289 * [backup-simplify]: Simplify phi2 into phi2 1.289 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.290 * [backup-simplify]: Simplify (+ 1 0) into 1 1.290 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.290 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.290 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.290 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.291 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.291 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.291 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.291 * [backup-simplify]: Simplify -1/2 into -1/2 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.291 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.291 * [taylor]: Taking taylor expansion of phi1 in phi1 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (/ 1 1) into 1 1.291 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.291 * [taylor]: Taking taylor expansion of phi2 in phi1 1.291 * [backup-simplify]: Simplify phi2 into phi2 1.291 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.291 * [backup-simplify]: Simplify (+ 1 0) into 1 1.292 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.292 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.295 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.298 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1.298 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 1.298 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.298 * [backup-simplify]: Simplify (+ 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.300 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.300 * [backup-simplify]: Simplify (- 0) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1.302 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1.302 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.302 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1.303 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.303 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.303 * [backup-simplify]: Simplify 1/2 into 1/2 1.303 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.303 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.303 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.303 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.303 * [backup-simplify]: Simplify phi2 into phi2 1.303 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.303 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.303 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.303 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.303 * [backup-simplify]: Simplify phi1 into phi1 1.304 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.304 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.304 * [taylor]: Taking taylor expansion of 2 in lambda2 1.304 * [backup-simplify]: Simplify 2 into 2 1.304 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.304 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.304 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.304 * [backup-simplify]: Simplify phi1 into phi1 1.304 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.304 * [backup-simplify]: Simplify phi2 into phi2 1.304 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.304 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.304 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.304 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.304 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.304 * [backup-simplify]: Simplify -1/2 into -1/2 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.304 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.304 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.304 * [backup-simplify]: Simplify phi1 into phi1 1.304 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.304 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.304 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.304 * [backup-simplify]: Simplify phi2 into phi2 1.304 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.304 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.304 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.304 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.304 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.304 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.304 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.305 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.305 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.305 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.305 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.306 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.307 * [backup-simplify]: Simplify (+ 0) into 0 1.308 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.310 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.310 * [backup-simplify]: Simplify (- 0) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.312 * [taylor]: Taking taylor expansion of 0 in phi1 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (+ 0) into 0 1.314 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.316 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [taylor]: Taking taylor expansion of 0 in phi1 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.317 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1.317 * [taylor]: Taking taylor expansion of -1 in phi2 1.317 * [backup-simplify]: Simplify -1 into -1 1.317 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.317 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.317 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.317 * [backup-simplify]: Simplify -1/2 into -1/2 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.318 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.318 * [taylor]: Taking taylor expansion of phi1 in phi2 1.318 * [backup-simplify]: Simplify phi1 into phi1 1.318 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.318 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.318 * [taylor]: Taking taylor expansion of phi2 in phi2 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [backup-simplify]: Simplify (+ 0 1) into 1 1.319 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.319 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.319 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.319 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.319 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.319 * [backup-simplify]: Simplify -1/2 into -1/2 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.319 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.319 * [taylor]: Taking taylor expansion of phi1 in phi2 1.319 * [backup-simplify]: Simplify phi1 into phi1 1.320 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.320 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.320 * [taylor]: Taking taylor expansion of phi2 in phi2 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [backup-simplify]: Simplify (+ 0 1) into 1 1.321 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.321 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.321 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1.322 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1.323 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.324 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.328 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ 0) into 0 1.335 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.339 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.347 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.353 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.353 * [backup-simplify]: Simplify 1/2 into 1/2 1.353 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.353 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1.353 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1.353 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.353 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.353 * [backup-simplify]: Simplify phi2 into phi2 1.353 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.353 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 1.354 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1.354 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.354 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1.354 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.354 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.354 * [backup-simplify]: Simplify phi1 into phi1 1.354 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.355 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 1.355 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1.355 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1.355 * [taylor]: Taking taylor expansion of 2 in lambda2 1.355 * [backup-simplify]: Simplify 2 into 2 1.355 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1.355 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1.355 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.355 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.355 * [backup-simplify]: Simplify phi1 into phi1 1.355 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.355 * [backup-simplify]: Simplify phi2 into phi2 1.356 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.356 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 1.356 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1.356 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.356 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.356 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.356 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.356 * [backup-simplify]: Simplify -1/2 into -1/2 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.356 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.356 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.356 * [backup-simplify]: Simplify phi1 into phi1 1.357 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.357 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.357 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.357 * [backup-simplify]: Simplify phi2 into phi2 1.357 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.357 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.357 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.357 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.357 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.357 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.357 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.358 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.358 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.358 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.358 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.359 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.360 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.360 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.360 * [backup-simplify]: Simplify 1/2 into 1/2 1.360 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.360 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.360 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.360 * [taylor]: Taking taylor expansion of phi2 in phi1 1.360 * [backup-simplify]: Simplify phi2 into phi2 1.360 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.360 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.360 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.360 * [taylor]: Taking taylor expansion of phi1 in phi1 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (/ 1 1) into 1 1.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.366 * [taylor]: Taking taylor expansion of 2 in phi1 1.366 * [backup-simplify]: Simplify 2 into 2 1.366 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.366 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.366 * [taylor]: Taking taylor expansion of phi1 in phi1 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of phi2 in phi1 1.366 * [backup-simplify]: Simplify phi2 into phi2 1.366 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.366 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.366 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.366 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.366 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.367 * [backup-simplify]: Simplify -1/2 into -1/2 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.367 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.367 * [taylor]: Taking taylor expansion of phi1 in phi1 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.367 * [taylor]: Taking taylor expansion of phi2 in phi1 1.367 * [backup-simplify]: Simplify phi2 into phi2 1.367 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.368 * [backup-simplify]: Simplify (+ 1 0) into 1 1.368 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.368 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.369 * [backup-simplify]: Simplify (+ 0 1) into 1 1.369 * [backup-simplify]: Simplify (+ 1 0) into 1 1.369 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.371 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.371 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.372 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.372 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.372 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.372 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.373 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.373 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.373 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.373 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.373 * [backup-simplify]: Simplify -1/2 into -1/2 1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.373 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.373 * [taylor]: Taking taylor expansion of phi1 in phi2 1.373 * [backup-simplify]: Simplify phi1 into phi1 1.373 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.373 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.373 * [taylor]: Taking taylor expansion of phi2 in phi2 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [backup-simplify]: Simplify (+ 0 1) into 1 1.374 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.374 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.374 * [taylor]: Taking taylor expansion of phi2 in phi2 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.375 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.375 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.376 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.376 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.377 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.377 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.377 * [backup-simplify]: Simplify 1/2 into 1/2 1.377 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.377 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.377 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.377 * [taylor]: Taking taylor expansion of phi2 in phi1 1.377 * [backup-simplify]: Simplify phi2 into phi2 1.377 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.377 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.377 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.377 * [taylor]: Taking taylor expansion of phi1 in phi1 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.378 * [taylor]: Taking taylor expansion of 2 in phi1 1.378 * [backup-simplify]: Simplify 2 into 2 1.378 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.378 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.378 * [taylor]: Taking taylor expansion of phi1 in phi1 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of phi2 in phi1 1.378 * [backup-simplify]: Simplify phi2 into phi2 1.378 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.379 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.379 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.379 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.379 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.379 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.379 * [backup-simplify]: Simplify -1/2 into -1/2 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.379 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.379 * [taylor]: Taking taylor expansion of phi1 in phi1 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.379 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.379 * [taylor]: Taking taylor expansion of phi2 in phi1 1.379 * [backup-simplify]: Simplify phi2 into phi2 1.380 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.380 * [backup-simplify]: Simplify (+ 1 0) into 1 1.380 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.381 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.381 * [backup-simplify]: Simplify (+ 0 1) into 1 1.381 * [backup-simplify]: Simplify (+ 1 0) into 1 1.382 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.384 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.384 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.384 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.385 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.385 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.385 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.385 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.385 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.385 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.385 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.385 * [backup-simplify]: Simplify -1/2 into -1/2 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.385 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.385 * [taylor]: Taking taylor expansion of phi1 in phi2 1.385 * [backup-simplify]: Simplify phi1 into phi1 1.385 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.385 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.385 * [taylor]: Taking taylor expansion of phi2 in phi2 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify (+ 0 1) into 1 1.387 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.387 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.387 * [taylor]: Taking taylor expansion of phi2 in phi2 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.388 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.388 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.388 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.388 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.393 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.397 * [taylor]: Taking taylor expansion of 0 in phi1 1.397 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.402 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [taylor]: Taking taylor expansion of 0 in phi1 1.402 * [backup-simplify]: Simplify 0 into 0 1.403 * [taylor]: Taking taylor expansion of 0 in phi2 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [taylor]: Taking taylor expansion of 0 in phi2 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.403 * [taylor]: Taking taylor expansion of 0 in phi2 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [taylor]: Taking taylor expansion of 0 in phi2 1.403 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.404 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.405 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 1.405 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2) 1.405 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1.405 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.406 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.406 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.406 * [backup-simplify]: Simplify 1/2 into 1/2 1.406 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.406 * [taylor]: Taking taylor expansion of phi1 in phi2 1.406 * [backup-simplify]: Simplify phi1 into phi1 1.406 * [taylor]: Taking taylor expansion of phi2 in phi2 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.406 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.406 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.406 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.406 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.406 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.406 * [backup-simplify]: Simplify 1/2 into 1/2 1.406 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.406 * [taylor]: Taking taylor expansion of phi1 in phi1 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [taylor]: Taking taylor expansion of phi2 in phi1 1.406 * [backup-simplify]: Simplify phi2 into phi2 1.406 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.406 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.406 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.406 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.406 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.406 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.406 * [backup-simplify]: Simplify 1/2 into 1/2 1.407 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.407 * [taylor]: Taking taylor expansion of phi1 in phi1 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of phi2 in phi1 1.407 * [backup-simplify]: Simplify phi2 into phi2 1.407 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.407 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.407 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.407 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.407 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.407 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.408 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.408 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.408 * [backup-simplify]: Simplify 1/2 into 1/2 1.408 * [taylor]: Taking taylor expansion of phi2 in phi2 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.409 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (+ 0) into 0 1.410 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (+ 1 0) into 1 1.411 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.413 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.413 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.413 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.413 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1.413 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1.413 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.413 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of phi2 in phi2 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.415 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.415 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify (+ 0) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.421 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.421 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1.421 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1.421 * [taylor]: Taking taylor expansion of 1/8 in phi2 1.421 * [backup-simplify]: Simplify 1/8 into 1/8 1.421 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.421 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.421 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.421 * [backup-simplify]: Simplify 1/2 into 1/2 1.421 * [taylor]: Taking taylor expansion of phi2 in phi2 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.422 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.423 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.423 * [backup-simplify]: Simplify -1/8 into -1/8 1.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.424 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1.425 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.425 * [backup-simplify]: Simplify -1/4 into -1/4 1.425 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1.425 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.425 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.425 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.425 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.425 * [backup-simplify]: Simplify 1/2 into 1/2 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.425 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.425 * [taylor]: Taking taylor expansion of phi1 in phi2 1.425 * [backup-simplify]: Simplify phi1 into phi1 1.425 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.425 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.425 * [taylor]: Taking taylor expansion of phi2 in phi2 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [backup-simplify]: Simplify (+ 0 1) into 1 1.426 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.426 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.426 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.426 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.426 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.426 * [backup-simplify]: Simplify 1/2 into 1/2 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.426 * [taylor]: Taking taylor expansion of phi1 in phi1 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.426 * [taylor]: Taking taylor expansion of phi2 in phi1 1.426 * [backup-simplify]: Simplify phi2 into phi2 1.427 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.427 * [backup-simplify]: Simplify (+ 1 0) into 1 1.427 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.427 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.427 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.427 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.427 * [backup-simplify]: Simplify 1/2 into 1/2 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.427 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.427 * [taylor]: Taking taylor expansion of phi1 in phi1 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.428 * [taylor]: Taking taylor expansion of phi2 in phi1 1.428 * [backup-simplify]: Simplify phi2 into phi2 1.428 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.428 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.428 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.428 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.428 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.428 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.428 * [taylor]: Taking taylor expansion of phi1 in phi2 1.428 * [backup-simplify]: Simplify phi1 into phi1 1.428 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.429 * [taylor]: Taking taylor expansion of phi2 in phi2 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ 0 1) into 1 1.429 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.429 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.429 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.430 * [taylor]: Taking taylor expansion of 0 in phi2 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [taylor]: Taking taylor expansion of 0 in phi2 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [taylor]: Taking taylor expansion of 0 in phi2 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1.430 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.430 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.430 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.430 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.430 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.430 * [backup-simplify]: Simplify -1/2 into -1/2 1.430 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.430 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.430 * [taylor]: Taking taylor expansion of phi1 in phi2 1.430 * [backup-simplify]: Simplify phi1 into phi1 1.430 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.430 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.430 * [taylor]: Taking taylor expansion of phi2 in phi2 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [backup-simplify]: Simplify (+ 0 1) into 1 1.431 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.431 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.431 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.431 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.431 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.431 * [backup-simplify]: Simplify -1/2 into -1/2 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.431 * [taylor]: Taking taylor expansion of phi1 in phi1 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.431 * [taylor]: Taking taylor expansion of phi2 in phi1 1.431 * [backup-simplify]: Simplify phi2 into phi2 1.432 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.432 * [backup-simplify]: Simplify (+ 1 0) into 1 1.432 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.432 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.432 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.432 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.432 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.432 * [backup-simplify]: Simplify -1/2 into -1/2 1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.432 * [taylor]: Taking taylor expansion of phi1 in phi1 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.433 * [taylor]: Taking taylor expansion of phi2 in phi1 1.433 * [backup-simplify]: Simplify phi2 into phi2 1.433 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.433 * [backup-simplify]: Simplify (+ 1 0) into 1 1.433 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.433 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.433 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.433 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.433 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.433 * [backup-simplify]: Simplify -1/2 into -1/2 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.433 * [taylor]: Taking taylor expansion of phi1 in phi2 1.433 * [backup-simplify]: Simplify phi1 into phi1 1.433 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.433 * [taylor]: Taking taylor expansion of phi2 in phi2 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [backup-simplify]: Simplify (+ 0 1) into 1 1.434 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.434 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.434 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.434 * [taylor]: Taking taylor expansion of 0 in phi2 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [taylor]: Taking taylor expansion of 0 in phi2 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [taylor]: Taking taylor expansion of 0 in phi2 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1.435 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1.435 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1.435 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1.435 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.435 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.435 * [backup-simplify]: Simplify 1/2 into 1/2 1.435 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.435 * [taylor]: Taking taylor expansion of phi1 in phi2 1.435 * [backup-simplify]: Simplify phi1 into phi1 1.435 * [taylor]: Taking taylor expansion of phi2 in phi2 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.435 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.435 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.435 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.435 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.435 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.435 * [backup-simplify]: Simplify 1/2 into 1/2 1.435 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.435 * [taylor]: Taking taylor expansion of phi1 in phi1 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [taylor]: Taking taylor expansion of phi2 in phi1 1.435 * [backup-simplify]: Simplify phi2 into phi2 1.435 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.435 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.436 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.436 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.436 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.436 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.436 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.436 * [taylor]: Taking taylor expansion of phi1 in phi1 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of phi2 in phi1 1.436 * [backup-simplify]: Simplify phi2 into phi2 1.436 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.436 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.436 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.436 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.436 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.436 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.436 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.436 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.436 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of phi2 in phi2 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (+ 0) into 0 1.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (+ 1 0) into 1 1.438 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.439 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.439 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.439 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.439 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1.439 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1.439 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.439 * [backup-simplify]: Simplify 1/2 into 1/2 1.439 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1.439 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.439 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.439 * [backup-simplify]: Simplify 1/2 into 1/2 1.439 * [taylor]: Taking taylor expansion of phi2 in phi2 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.440 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ 0) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.444 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.444 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1.444 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1.444 * [taylor]: Taking taylor expansion of 1/8 in phi2 1.444 * [backup-simplify]: Simplify 1/8 into 1/8 1.444 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.444 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.444 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.444 * [backup-simplify]: Simplify 1/2 into 1/2 1.444 * [taylor]: Taking taylor expansion of phi2 in phi2 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.445 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.445 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.445 * [backup-simplify]: Simplify -1/8 into -1/8 1.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.446 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1.446 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.446 * [backup-simplify]: Simplify -1/4 into -1/4 1.447 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1.447 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.447 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.447 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.447 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.447 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.447 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.447 * [taylor]: Taking taylor expansion of phi1 in phi2 1.447 * [backup-simplify]: Simplify phi1 into phi1 1.447 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.447 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.447 * [taylor]: Taking taylor expansion of phi2 in phi2 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [backup-simplify]: Simplify (+ 0 1) into 1 1.448 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.448 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.448 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.448 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.448 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.448 * [backup-simplify]: Simplify 1/2 into 1/2 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.448 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.448 * [taylor]: Taking taylor expansion of phi1 in phi1 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.448 * [taylor]: Taking taylor expansion of phi2 in phi1 1.448 * [backup-simplify]: Simplify phi2 into phi2 1.448 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.449 * [backup-simplify]: Simplify (+ 1 0) into 1 1.449 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.449 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.449 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.449 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.449 * [backup-simplify]: Simplify 1/2 into 1/2 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.449 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.449 * [taylor]: Taking taylor expansion of phi1 in phi1 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (/ 1 1) into 1 1.449 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.449 * [taylor]: Taking taylor expansion of phi2 in phi1 1.449 * [backup-simplify]: Simplify phi2 into phi2 1.450 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.450 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.450 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.450 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.450 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.450 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.450 * [backup-simplify]: Simplify 1/2 into 1/2 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.450 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.450 * [taylor]: Taking taylor expansion of phi1 in phi2 1.450 * [backup-simplify]: Simplify phi1 into phi1 1.450 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.450 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.450 * [taylor]: Taking taylor expansion of phi2 in phi2 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [backup-simplify]: Simplify (+ 0 1) into 1 1.451 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.451 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.451 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.451 * [taylor]: Taking taylor expansion of 0 in phi2 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in phi2 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in phi2 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1.452 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.452 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.452 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.452 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.452 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.452 * [backup-simplify]: Simplify -1/2 into -1/2 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.452 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.452 * [taylor]: Taking taylor expansion of phi1 in phi2 1.452 * [backup-simplify]: Simplify phi1 into phi1 1.452 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.452 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.452 * [taylor]: Taking taylor expansion of phi2 in phi2 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (+ 0 1) into 1 1.453 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.453 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.453 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.453 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.453 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.453 * [backup-simplify]: Simplify -1/2 into -1/2 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.453 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.453 * [taylor]: Taking taylor expansion of phi1 in phi1 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.454 * [taylor]: Taking taylor expansion of phi2 in phi1 1.454 * [backup-simplify]: Simplify phi2 into phi2 1.454 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.454 * [backup-simplify]: Simplify (+ 1 0) into 1 1.455 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.455 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.455 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.455 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.455 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.455 * [backup-simplify]: Simplify -1/2 into -1/2 1.455 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.455 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.455 * [taylor]: Taking taylor expansion of phi1 in phi1 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.456 * [taylor]: Taking taylor expansion of phi2 in phi1 1.456 * [backup-simplify]: Simplify phi2 into phi2 1.456 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.456 * [backup-simplify]: Simplify (+ 1 0) into 1 1.457 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.457 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.457 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.457 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.457 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.457 * [backup-simplify]: Simplify -1/2 into -1/2 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.457 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.457 * [taylor]: Taking taylor expansion of phi1 in phi2 1.457 * [backup-simplify]: Simplify phi1 into phi1 1.457 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.457 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.457 * [taylor]: Taking taylor expansion of phi2 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.458 * [backup-simplify]: Simplify (+ 0 1) into 1 1.459 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.459 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.459 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.459 * [taylor]: Taking taylor expansion of 0 in phi2 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [taylor]: Taking taylor expansion of 0 in phi2 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [taylor]: Taking taylor expansion of 0 in phi2 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1.460 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.460 * [backup-simplify]: Simplify (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.460 * [approximate]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.460 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1.460 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1.460 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.460 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.460 * [backup-simplify]: Simplify lambda1 into lambda1 1.460 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.460 * [backup-simplify]: Simplify lambda2 into lambda2 1.460 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.460 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.460 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1.460 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.460 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.460 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.460 * [backup-simplify]: Simplify 1/2 into 1/2 1.461 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.461 * [taylor]: Taking taylor expansion of phi1 in phi2 1.461 * [backup-simplify]: Simplify phi1 into phi1 1.461 * [taylor]: Taking taylor expansion of phi2 in phi2 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.461 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.461 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.461 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.461 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1.461 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1.462 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.462 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1.462 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.462 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.462 * [backup-simplify]: Simplify lambda1 into lambda1 1.462 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.462 * [backup-simplify]: Simplify lambda2 into lambda2 1.462 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.462 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.462 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.462 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.462 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.462 * [taylor]: Taking taylor expansion of phi1 in phi1 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [taylor]: Taking taylor expansion of phi2 in phi1 1.462 * [backup-simplify]: Simplify phi2 into phi2 1.462 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.462 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.462 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.462 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.462 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.462 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.463 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.463 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1.463 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.463 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.463 * [backup-simplify]: Simplify lambda1 into lambda1 1.463 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.464 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.464 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.464 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.464 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.464 * [backup-simplify]: Simplify phi1 into phi1 1.464 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.464 * [backup-simplify]: Simplify phi2 into phi2 1.464 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.464 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.464 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.464 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.464 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.464 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.465 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.465 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.465 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1.465 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.465 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.465 * [backup-simplify]: Simplify lambda2 into lambda2 1.465 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.465 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.465 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.465 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.465 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.465 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.465 * [backup-simplify]: Simplify 1/2 into 1/2 1.465 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.465 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.465 * [backup-simplify]: Simplify phi1 into phi1 1.465 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.465 * [backup-simplify]: Simplify phi2 into phi2 1.465 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.465 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.466 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.466 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.466 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.466 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.466 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.466 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1.466 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.466 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.466 * [backup-simplify]: Simplify lambda2 into lambda2 1.467 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.467 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.467 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.467 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.467 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.467 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 1.467 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.467 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.467 * [backup-simplify]: Simplify phi1 into phi1 1.467 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.467 * [backup-simplify]: Simplify phi2 into phi2 1.467 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.467 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.467 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.467 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.467 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.467 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.468 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1.468 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.468 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.468 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.468 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.468 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.469 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.469 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.469 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.469 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.469 * [backup-simplify]: Simplify 1/2 into 1/2 1.469 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.469 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.469 * [backup-simplify]: Simplify phi1 into phi1 1.469 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.469 * [backup-simplify]: Simplify phi2 into phi2 1.469 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.469 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.469 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.469 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.469 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.469 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.470 * [backup-simplify]: Simplify (+ 0) into 0 1.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.473 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ 1 0) into 1 1.475 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1.475 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.475 * [taylor]: Taking taylor expansion of (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1.475 * [taylor]: Taking taylor expansion of (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1.475 * [taylor]: Taking taylor expansion of 2 in lambda2 1.475 * [backup-simplify]: Simplify 2 into 2 1.475 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.475 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.475 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.475 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.475 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.476 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.476 * [backup-simplify]: Simplify phi1 into phi1 1.476 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.476 * [backup-simplify]: Simplify phi2 into phi2 1.476 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.476 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.476 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.476 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.476 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.476 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.477 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.477 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1.478 * [backup-simplify]: Simplify (* 2 0) into 0 1.478 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [taylor]: Taking taylor expansion of 0 in phi1 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [taylor]: Taking taylor expansion of 0 in phi2 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.483 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1.485 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.485 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.486 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.486 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.486 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.486 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.486 * [backup-simplify]: Simplify phi1 into phi1 1.486 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.486 * [backup-simplify]: Simplify phi2 into phi2 1.486 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.486 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.486 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.486 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.486 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.486 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.487 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.487 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.487 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.487 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.487 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.487 * [backup-simplify]: Simplify 1/2 into 1/2 1.487 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.487 * [taylor]: Taking taylor expansion of phi1 in phi1 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [taylor]: Taking taylor expansion of phi2 in phi1 1.487 * [backup-simplify]: Simplify phi2 into phi2 1.487 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.487 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.487 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.487 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.487 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.488 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.488 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.488 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.488 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.488 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.488 * [backup-simplify]: Simplify 1/2 into 1/2 1.488 * [taylor]: Taking taylor expansion of phi2 in phi2 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (+ 0) into 0 1.491 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.493 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.494 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.495 * [backup-simplify]: Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.495 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.495 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1.495 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.496 * [taylor]: Taking taylor expansion of 2 in phi1 1.496 * [backup-simplify]: Simplify 2 into 2 1.496 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.496 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.496 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.496 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.496 * [backup-simplify]: Simplify 1/2 into 1/2 1.496 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.496 * [taylor]: Taking taylor expansion of phi1 in phi1 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [taylor]: Taking taylor expansion of phi2 in phi1 1.496 * [backup-simplify]: Simplify phi2 into phi2 1.496 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.496 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.496 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.496 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.496 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.496 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.501 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.501 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 phi2)) 2)) into (* 2 (pow (cos (* 1/2 phi2)) 2)) 1.502 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 phi2)) 2))) into (- (* 2 (pow (cos (* 1/2 phi2)) 2))) 1.502 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi2)) 2))) in phi2 1.502 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi2)) 2)) in phi2 1.502 * [taylor]: Taking taylor expansion of 2 in phi2 1.502 * [backup-simplify]: Simplify 2 into 2 1.502 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.502 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.502 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.502 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.502 * [backup-simplify]: Simplify 1/2 into 1/2 1.502 * [taylor]: Taking taylor expansion of phi2 in phi2 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (* 2 1) into 2 1.505 * [backup-simplify]: Simplify (- 2) into -2 1.505 * [backup-simplify]: Simplify -2 into -2 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.505 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.505 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.505 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.506 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.506 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.506 * [backup-simplify]: Simplify 1/2 into 1/2 1.506 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.506 * [taylor]: Taking taylor expansion of phi1 in phi1 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of phi2 in phi1 1.506 * [backup-simplify]: Simplify phi2 into phi2 1.506 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.506 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.506 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.506 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.506 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.506 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.507 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.507 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.507 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.507 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.507 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of phi2 in phi2 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -2 (* 1 (* 1 (* lambda2 lambda1)))) (* 1 (pow (* 1 (* 1 (* 1 lambda1))) 2)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 1.510 * [backup-simplify]: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1.510 * [approximate]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.510 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1.510 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.510 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.510 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.510 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.510 * [taylor]: Taking taylor expansion of phi1 in phi2 1.510 * [backup-simplify]: Simplify phi1 into phi1 1.510 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.510 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.510 * [taylor]: Taking taylor expansion of phi2 in phi2 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [backup-simplify]: Simplify (+ 0 1) into 1 1.512 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.512 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.512 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1.512 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.512 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.512 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.512 * [backup-simplify]: Simplify lambda1 into lambda1 1.512 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.512 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.512 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.512 * [backup-simplify]: Simplify lambda2 into lambda2 1.512 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.512 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.512 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.512 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1.512 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.512 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.513 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.513 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.513 * [backup-simplify]: Simplify 1/2 into 1/2 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.513 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.513 * [taylor]: Taking taylor expansion of phi1 in phi1 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.513 * [taylor]: Taking taylor expansion of phi2 in phi1 1.513 * [backup-simplify]: Simplify phi2 into phi2 1.513 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.513 * [backup-simplify]: Simplify (+ 1 0) into 1 1.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.514 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.514 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1.514 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.514 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.514 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.514 * [backup-simplify]: Simplify lambda1 into lambda1 1.514 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.514 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.514 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.514 * [backup-simplify]: Simplify lambda2 into lambda2 1.514 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.514 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.514 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.514 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1.514 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.514 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.514 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.514 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.514 * [backup-simplify]: Simplify 1/2 into 1/2 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.514 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.514 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.514 * [backup-simplify]: Simplify phi1 into phi1 1.514 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.514 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.514 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.514 * [backup-simplify]: Simplify phi2 into phi2 1.514 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.514 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.514 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.514 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.514 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.515 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.515 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.515 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1.515 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.515 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.515 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.515 * [backup-simplify]: Simplify lambda1 into lambda1 1.515 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.515 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.515 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [backup-simplify]: Simplify (- 1) into -1 1.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.516 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1.516 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.516 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.516 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.516 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.516 * [backup-simplify]: Simplify 1/2 into 1/2 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.516 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.516 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.516 * [backup-simplify]: Simplify phi1 into phi1 1.516 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.516 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.516 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.516 * [backup-simplify]: Simplify phi2 into phi2 1.516 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.516 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.516 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.516 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.516 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.517 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.517 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.517 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.517 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1.517 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.517 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.517 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.517 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.517 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.517 * [backup-simplify]: Simplify lambda2 into lambda2 1.517 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.518 * [backup-simplify]: Simplify (+ 1 0) into 1 1.518 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1.518 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.518 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.518 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.518 * [backup-simplify]: Simplify 1/2 into 1/2 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.518 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.518 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.518 * [backup-simplify]: Simplify phi1 into phi1 1.518 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.518 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.518 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.518 * [backup-simplify]: Simplify phi2 into phi2 1.518 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.518 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.518 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.518 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.518 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.518 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.518 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.519 * [backup-simplify]: Simplify (- 0) into 0 1.519 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.519 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1.519 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.519 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.519 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.519 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.519 * [backup-simplify]: Simplify lambda2 into lambda2 1.519 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.519 * [backup-simplify]: Simplify (+ 1 0) into 1 1.520 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.520 * [backup-simplify]: Simplify (* 1 1) into 1 1.520 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.520 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.520 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.520 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.520 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.520 * [backup-simplify]: Simplify 1/2 into 1/2 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.520 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.520 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.520 * [backup-simplify]: Simplify phi1 into phi1 1.520 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.520 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.520 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.520 * [backup-simplify]: Simplify phi2 into phi2 1.520 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.520 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.520 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.520 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.521 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.521 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.521 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.522 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1.522 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1.522 * [backup-simplify]: Simplify (+ 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.524 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.525 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1.525 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1.525 * [taylor]: Taking taylor expansion of 2 in lambda2 1.525 * [backup-simplify]: Simplify 2 into 2 1.525 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1.525 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.525 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.526 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.526 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.526 * [backup-simplify]: Simplify 1/2 into 1/2 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.526 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.526 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.526 * [backup-simplify]: Simplify phi1 into phi1 1.526 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.526 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.526 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.526 * [backup-simplify]: Simplify phi2 into phi2 1.526 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.526 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.526 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.526 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.526 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.526 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.526 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.527 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.527 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.527 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.533 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.533 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.533 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.533 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.533 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.533 * [backup-simplify]: Simplify 1/2 into 1/2 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.533 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.533 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.533 * [backup-simplify]: Simplify phi1 into phi1 1.533 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.533 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.533 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.533 * [backup-simplify]: Simplify phi2 into phi2 1.533 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.533 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.533 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.533 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.533 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.533 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.534 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.534 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.534 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.535 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.535 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.535 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.535 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.535 * [backup-simplify]: Simplify 1/2 into 1/2 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.535 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.535 * [taylor]: Taking taylor expansion of phi1 in phi1 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.535 * [taylor]: Taking taylor expansion of phi2 in phi1 1.535 * [backup-simplify]: Simplify phi2 into phi2 1.535 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.535 * [backup-simplify]: Simplify (+ 1 0) into 1 1.536 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.536 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.536 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.536 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.536 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.536 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.536 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.536 * [backup-simplify]: Simplify 1/2 into 1/2 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.536 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.536 * [taylor]: Taking taylor expansion of phi1 in phi2 1.536 * [backup-simplify]: Simplify phi1 into phi1 1.536 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.536 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.536 * [taylor]: Taking taylor expansion of phi2 in phi2 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.537 * [backup-simplify]: Simplify (+ 0 1) into 1 1.537 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.537 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.537 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.537 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.537 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.537 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.537 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1.537 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1.538 * [taylor]: Taking taylor expansion of 2 in phi1 1.538 * [backup-simplify]: Simplify 2 into 2 1.538 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.538 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.538 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.538 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.538 * [backup-simplify]: Simplify 1/2 into 1/2 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.538 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.538 * [taylor]: Taking taylor expansion of phi1 in phi1 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.538 * [taylor]: Taking taylor expansion of phi2 in phi1 1.538 * [backup-simplify]: Simplify phi2 into phi2 1.538 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.538 * [backup-simplify]: Simplify (+ 1 0) into 1 1.539 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.539 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.539 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.539 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.539 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.539 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1.539 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1.539 * [taylor]: Taking taylor expansion of 2 in phi2 1.539 * [backup-simplify]: Simplify 2 into 2 1.539 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.539 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.539 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.539 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.539 * [taylor]: Taking taylor expansion of phi1 in phi2 1.539 * [backup-simplify]: Simplify phi1 into phi1 1.539 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.539 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.539 * [taylor]: Taking taylor expansion of phi2 in phi2 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [backup-simplify]: Simplify (+ 0 1) into 1 1.540 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.540 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.540 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.541 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.541 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.541 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.541 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.541 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.541 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.541 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.541 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.541 * [taylor]: Taking taylor expansion of phi1 in phi1 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (/ 1 1) into 1 1.541 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.541 * [taylor]: Taking taylor expansion of phi2 in phi1 1.541 * [backup-simplify]: Simplify phi2 into phi2 1.542 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.542 * [backup-simplify]: Simplify (+ 1 0) into 1 1.542 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.542 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.542 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.542 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.542 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.542 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.542 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.542 * [backup-simplify]: Simplify 1/2 into 1/2 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.542 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.542 * [taylor]: Taking taylor expansion of phi1 in phi2 1.542 * [backup-simplify]: Simplify phi1 into phi1 1.542 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.543 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.543 * [taylor]: Taking taylor expansion of phi2 in phi2 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [backup-simplify]: Simplify (+ 0 1) into 1 1.543 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.543 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.544 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.544 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.544 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1.545 * [backup-simplify]: Simplify (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1.545 * [approximate]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.545 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1.545 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.545 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.545 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.545 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.545 * [backup-simplify]: Simplify -1/2 into -1/2 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.545 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.545 * [taylor]: Taking taylor expansion of phi1 in phi2 1.545 * [backup-simplify]: Simplify phi1 into phi1 1.545 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.545 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.546 * [taylor]: Taking taylor expansion of phi2 in phi2 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [backup-simplify]: Simplify (+ 0 1) into 1 1.547 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.547 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.547 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1.547 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.547 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.547 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.547 * [backup-simplify]: Simplify lambda2 into lambda2 1.547 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.547 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.547 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.547 * [backup-simplify]: Simplify lambda1 into lambda1 1.547 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.547 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.547 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.548 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1.548 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.548 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.548 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.548 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.548 * [backup-simplify]: Simplify -1/2 into -1/2 1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.548 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.548 * [taylor]: Taking taylor expansion of phi1 in phi1 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.548 * [taylor]: Taking taylor expansion of phi2 in phi1 1.548 * [backup-simplify]: Simplify phi2 into phi2 1.548 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.549 * [backup-simplify]: Simplify (+ 1 0) into 1 1.549 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.549 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.549 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1.549 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.549 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.549 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.549 * [backup-simplify]: Simplify lambda2 into lambda2 1.550 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.550 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.550 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.550 * [backup-simplify]: Simplify lambda1 into lambda1 1.550 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.550 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.550 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.550 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1.550 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.550 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.550 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.550 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.550 * [backup-simplify]: Simplify -1/2 into -1/2 1.550 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.550 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.550 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.550 * [backup-simplify]: Simplify phi1 into phi1 1.550 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.550 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.550 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.550 * [backup-simplify]: Simplify phi2 into phi2 1.550 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.550 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.551 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.551 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.551 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.551 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.551 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.552 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1.552 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.552 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.552 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (/ 1 1) into 1 1.552 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.552 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.552 * [backup-simplify]: Simplify lambda1 into lambda1 1.552 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.553 * [backup-simplify]: Simplify (+ 1 0) into 1 1.553 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1.553 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.553 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.553 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.553 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.553 * [backup-simplify]: Simplify -1/2 into -1/2 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.553 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.553 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.553 * [backup-simplify]: Simplify phi1 into phi1 1.553 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.553 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.553 * [backup-simplify]: Simplify phi2 into phi2 1.553 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.553 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.553 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.554 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.554 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.554 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.554 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.555 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.555 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.555 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.555 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.555 * [backup-simplify]: Simplify lambda2 into lambda2 1.555 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.555 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.555 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.556 * [backup-simplify]: Simplify (- 1) into -1 1.556 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.556 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1.556 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.556 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.556 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.556 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.556 * [backup-simplify]: Simplify -1/2 into -1/2 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.556 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.556 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.556 * [backup-simplify]: Simplify phi1 into phi1 1.556 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.556 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.556 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.556 * [backup-simplify]: Simplify phi2 into phi2 1.556 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.557 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.557 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.557 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.557 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.557 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.557 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.557 * [backup-simplify]: Simplify (- 0) into 0 1.557 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.557 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1.557 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.557 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.557 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.557 * [backup-simplify]: Simplify lambda2 into lambda2 1.557 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.557 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.557 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [backup-simplify]: Simplify (- 1) into -1 1.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.558 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.559 * [backup-simplify]: Simplify (* -1 -1) into 1 1.559 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.559 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.559 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.559 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.559 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.559 * [backup-simplify]: Simplify -1/2 into -1/2 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.559 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.559 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.559 * [backup-simplify]: Simplify phi1 into phi1 1.559 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.559 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.559 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.559 * [backup-simplify]: Simplify phi2 into phi2 1.559 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.559 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.559 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.559 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.559 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.559 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.560 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.560 * [backup-simplify]: Simplify (- 0) into 0 1.560 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1.561 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1.561 * [backup-simplify]: Simplify (+ 0) into 0 1.561 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.563 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.564 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.564 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1.564 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1.564 * [taylor]: Taking taylor expansion of 2 in lambda2 1.564 * [backup-simplify]: Simplify 2 into 2 1.564 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1.564 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.564 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.564 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.564 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.564 * [backup-simplify]: Simplify -1/2 into -1/2 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.564 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.564 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.564 * [backup-simplify]: Simplify phi1 into phi1 1.564 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.564 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.564 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.564 * [backup-simplify]: Simplify phi2 into phi2 1.564 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.564 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.565 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.565 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.565 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.565 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.565 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.565 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.566 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.569 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.571 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.572 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.572 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.572 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.572 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.572 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.572 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.572 * [backup-simplify]: Simplify -1/2 into -1/2 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.572 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.572 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.572 * [backup-simplify]: Simplify phi1 into phi1 1.572 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.572 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.572 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.572 * [backup-simplify]: Simplify phi2 into phi2 1.572 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.572 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.572 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.573 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.573 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.573 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.573 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.573 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.573 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.574 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.574 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.574 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.574 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.574 * [backup-simplify]: Simplify -1/2 into -1/2 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.574 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.574 * [taylor]: Taking taylor expansion of phi1 in phi1 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.574 * [taylor]: Taking taylor expansion of phi2 in phi1 1.574 * [backup-simplify]: Simplify phi2 into phi2 1.574 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.575 * [backup-simplify]: Simplify (+ 1 0) into 1 1.575 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.575 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.575 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.575 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.575 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.575 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.575 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.575 * [backup-simplify]: Simplify -1/2 into -1/2 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.575 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.575 * [taylor]: Taking taylor expansion of phi1 in phi2 1.575 * [backup-simplify]: Simplify phi1 into phi1 1.575 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.575 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.575 * [taylor]: Taking taylor expansion of phi2 in phi2 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [backup-simplify]: Simplify (+ 0 1) into 1 1.576 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.576 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.576 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.576 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.577 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.577 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.577 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1.577 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1.577 * [taylor]: Taking taylor expansion of 2 in phi1 1.577 * [backup-simplify]: Simplify 2 into 2 1.577 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.577 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.577 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.577 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.577 * [backup-simplify]: Simplify -1/2 into -1/2 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.577 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.577 * [taylor]: Taking taylor expansion of phi1 in phi1 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (/ 1 1) into 1 1.577 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.577 * [taylor]: Taking taylor expansion of phi2 in phi1 1.577 * [backup-simplify]: Simplify phi2 into phi2 1.577 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.578 * [backup-simplify]: Simplify (+ 1 0) into 1 1.578 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.578 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.578 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.578 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.578 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.578 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1.578 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1.578 * [taylor]: Taking taylor expansion of 2 in phi2 1.578 * [backup-simplify]: Simplify 2 into 2 1.578 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.578 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.578 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.578 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.578 * [backup-simplify]: Simplify -1/2 into -1/2 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.579 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.579 * [taylor]: Taking taylor expansion of phi1 in phi2 1.579 * [backup-simplify]: Simplify phi1 into phi1 1.579 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.579 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.579 * [taylor]: Taking taylor expansion of phi2 in phi2 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [backup-simplify]: Simplify (+ 0 1) into 1 1.579 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.579 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.580 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.580 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.580 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.580 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.580 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.580 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.580 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.580 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.580 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.580 * [backup-simplify]: Simplify -1/2 into -1/2 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.580 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.580 * [taylor]: Taking taylor expansion of phi1 in phi1 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.581 * [taylor]: Taking taylor expansion of phi2 in phi1 1.581 * [backup-simplify]: Simplify phi2 into phi2 1.581 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.581 * [backup-simplify]: Simplify (+ 1 0) into 1 1.581 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.581 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.582 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.582 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.582 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.582 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.582 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.582 * [backup-simplify]: Simplify -1/2 into -1/2 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.582 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.582 * [taylor]: Taking taylor expansion of phi1 in phi2 1.582 * [backup-simplify]: Simplify phi1 into phi1 1.582 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.582 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.582 * [taylor]: Taking taylor expansion of phi2 in phi2 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (/ 1 1) into 1 1.582 * [backup-simplify]: Simplify (+ 0 1) into 1 1.583 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.583 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.583 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.583 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.584 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1.584 * * * [progress]: simplifying candidates 1.584 * * * * [progress]: [ 1 / 151 ] simplifiying candidate # 1.584 * * * * [progress]: [ 2 / 151 ] simplifiying candidate # 1.584 * * * * [progress]: [ 3 / 151 ] simplifiying candidate # 1.584 * * * * [progress]: [ 4 / 151 ] simplifiying candidate # 1.584 * * * * [progress]: [ 5 / 151 ] simplifiying candidate # 1.584 * * * * [progress]: [ 6 / 151 ] simplifiying candidate # 1.585 * * * * [progress]: [ 7 / 151 ] simplifiying candidate # 1.585 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1.585 * * [simplify]: iters left: 6 (17 enodes) 1.589 * * [simplify]: iters left: 5 (66 enodes) 1.614 * * [simplify]: iters left: 4 (115 enodes) 1.641 * * [simplify]: iters left: 3 (316 enodes) 1.805 * * [simplify]: Extracting #0: cost 1 inf + 0 1.805 * * [simplify]: Extracting #1: cost 4 inf + 0 1.805 * * [simplify]: Extracting #2: cost 7 inf + 0 1.805 * * [simplify]: Extracting #3: cost 23 inf + 0 1.805 * * [simplify]: Extracting #4: cost 149 inf + 0 1.806 * * [simplify]: Extracting #5: cost 208 inf + 44 1.807 * * [simplify]: Extracting #6: cost 204 inf + 2293 1.810 * * [simplify]: Extracting #7: cost 163 inf + 8012 1.819 * * [simplify]: Extracting #8: cost 26 inf + 50766 1.840 * * [simplify]: Extracting #9: cost 0 inf + 58573 1.853 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 1.853 * * * * [progress]: [ 8 / 151 ] simplifiying candidate # 1.854 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 1.854 * * [simplify]: iters left: 6 (16 enodes) 1.858 * * [simplify]: iters left: 5 (62 enodes) 1.869 * * [simplify]: iters left: 4 (111 enodes) 1.913 * * [simplify]: iters left: 3 (312 enodes) 2.059 * * [simplify]: Extracting #0: cost 1 inf + 0 2.059 * * [simplify]: Extracting #1: cost 3 inf + 0 2.059 * * [simplify]: Extracting #2: cost 5 inf + 0 2.059 * * [simplify]: Extracting #3: cost 21 inf + 0 2.060 * * [simplify]: Extracting #4: cost 139 inf + 0 2.061 * * [simplify]: Extracting #5: cost 199 inf + 44 2.063 * * [simplify]: Extracting #6: cost 199 inf + 1968 2.069 * * [simplify]: Extracting #7: cost 131 inf + 14187 2.087 * * [simplify]: Extracting #8: cost 26 inf + 45686 2.111 * * [simplify]: Extracting #9: cost 0 inf + 55895 2.128 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 2.128 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 2.129 * * * * [progress]: [ 9 / 151 ] simplifiying candidate # 2.129 * [simplify]: Simplifying (sqrt 1) 2.129 * * [simplify]: iters left: 1 (2 enodes) 2.131 * * [simplify]: Extracting #0: cost 1 inf + 0 2.131 * * [simplify]: Extracting #1: cost 0 inf + 1 2.131 * [simplify]: Simplified to 1 2.131 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 2.132 * * * * [progress]: [ 10 / 151 ] simplifiying candidate # 2.132 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 2.132 * * [simplify]: iters left: 6 (34 enodes) 2.142 * * [simplify]: iters left: 5 (173 enodes) 2.198 * * [simplify]: Extracting #0: cost 1 inf + 0 2.198 * * [simplify]: Extracting #1: cost 3 inf + 0 2.199 * * [simplify]: Extracting #2: cost 6 inf + 0 2.199 * * [simplify]: Extracting #3: cost 60 inf + 0 2.199 * * [simplify]: Extracting #4: cost 168 inf + 0 2.200 * * [simplify]: Extracting #5: cost 241 inf + 0 2.201 * * [simplify]: Extracting #6: cost 200 inf + 15564 2.210 * * [simplify]: Extracting #7: cost 63 inf + 60484 2.222 * * [simplify]: Extracting #8: cost 7 inf + 73587 2.237 * * [simplify]: Extracting #9: cost 0 inf + 76781 2.252 * * [simplify]: Extracting #10: cost 0 inf + 76461 2.277 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 2.278 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 2.278 * * * * [progress]: [ 11 / 151 ] simplifiying candidate # 2.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 2.279 * * [simplify]: iters left: 6 (35 enodes) 2.292 * * [simplify]: iters left: 5 (178 enodes) 2.346 * * [simplify]: Extracting #0: cost 1 inf + 0 2.346 * * [simplify]: Extracting #1: cost 3 inf + 0 2.346 * * [simplify]: Extracting #2: cost 6 inf + 0 2.346 * * [simplify]: Extracting #3: cost 58 inf + 0 2.347 * * [simplify]: Extracting #4: cost 172 inf + 0 2.347 * * [simplify]: Extracting #5: cost 235 inf + 85 2.349 * * [simplify]: Extracting #6: cost 191 inf + 15306 2.356 * * [simplify]: Extracting #7: cost 74 inf + 52611 2.370 * * [simplify]: Extracting #8: cost 8 inf + 66818 2.389 * * [simplify]: Extracting #9: cost 0 inf + 71295 2.414 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 2.414 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 2.414 * * * * [progress]: [ 12 / 151 ] simplifiying candidate # 2.415 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 2.415 * * [simplify]: iters left: 6 (35 enodes) 2.425 * * [simplify]: iters left: 5 (178 enodes) 2.488 * * [simplify]: Extracting #0: cost 1 inf + 0 2.488 * * [simplify]: Extracting #1: cost 3 inf + 0 2.488 * * [simplify]: Extracting #2: cost 6 inf + 0 2.488 * * [simplify]: Extracting #3: cost 60 inf + 0 2.488 * * [simplify]: Extracting #4: cost 170 inf + 0 2.490 * * [simplify]: Extracting #5: cost 230 inf + 166 2.493 * * [simplify]: Extracting #6: cost 178 inf + 14825 2.508 * * [simplify]: Extracting #7: cost 44 inf + 55372 2.531 * * [simplify]: Extracting #8: cost 5 inf + 67005 2.554 * * [simplify]: Extracting #9: cost 0 inf + 68927 2.571 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 2.571 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 2.571 * * * * [progress]: [ 13 / 151 ] simplifiying candidate # 2.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 2.572 * * [simplify]: iters left: 6 (29 enodes) 2.580 * * [simplify]: iters left: 5 (146 enodes) 2.633 * * [simplify]: iters left: 4 (476 enodes) 2.991 * * [simplify]: Extracting #0: cost 1 inf + 0 2.991 * * [simplify]: Extracting #1: cost 3 inf + 0 2.991 * * [simplify]: Extracting #2: cost 20 inf + 0 2.992 * * [simplify]: Extracting #3: cost 282 inf + 0 2.996 * * [simplify]: Extracting #4: cost 726 inf + 742 3.009 * * [simplify]: Extracting #5: cost 770 inf + 17733 3.026 * * [simplify]: Extracting #6: cost 517 inf + 82722 3.066 * * [simplify]: Extracting #7: cost 303 inf + 151104 3.139 * * [simplify]: Extracting #8: cost 65 inf + 252147 3.256 * * [simplify]: Extracting #9: cost 1 inf + 285337 3.331 * * [simplify]: Extracting #10: cost 0 inf + 285762 3.421 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) 3.421 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 3.422 * * * * [progress]: [ 14 / 151 ] simplifiying candidate # 3.422 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 3.423 * * [simplify]: iters left: 6 (34 enodes) 3.442 * * [simplify]: iters left: 5 (170 enodes) 3.517 * * [simplify]: Extracting #0: cost 1 inf + 0 3.517 * * [simplify]: Extracting #1: cost 3 inf + 0 3.517 * * [simplify]: Extracting #2: cost 10 inf + 0 3.517 * * [simplify]: Extracting #3: cost 78 inf + 0 3.518 * * [simplify]: Extracting #4: cost 160 inf + 42 3.519 * * [simplify]: Extracting #5: cost 207 inf + 207 3.521 * * [simplify]: Extracting #6: cost 166 inf + 14735 3.535 * * [simplify]: Extracting #7: cost 33 inf + 63686 3.549 * * [simplify]: Extracting #8: cost 1 inf + 64060 3.561 * * [simplify]: Extracting #9: cost 0 inf + 64112 3.578 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 3.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 3.579 * * * * [progress]: [ 15 / 151 ] simplifiying candidate # 3.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 3.580 * * [simplify]: iters left: 6 (29 enodes) 3.595 * * [simplify]: iters left: 5 (142 enodes) 3.660 * * [simplify]: iters left: 4 (432 enodes) 3.951 * * [simplify]: Extracting #0: cost 1 inf + 0 3.951 * * [simplify]: Extracting #1: cost 3 inf + 0 3.951 * * [simplify]: Extracting #2: cost 15 inf + 0 3.951 * * [simplify]: Extracting #3: cost 195 inf + 0 3.953 * * [simplify]: Extracting #4: cost 515 inf + 87 3.959 * * [simplify]: Extracting #5: cost 632 inf + 21089 4.003 * * [simplify]: Extracting #6: cost 283 inf + 117143 4.049 * * [simplify]: Extracting #7: cost 209 inf + 136236 4.096 * * [simplify]: Extracting #8: cost 81 inf + 191013 4.171 * * [simplify]: Extracting #9: cost 4 inf + 230272 4.253 * * [simplify]: Extracting #10: cost 1 inf + 232587 4.322 * * [simplify]: Extracting #11: cost 0 inf + 233452 4.387 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 4.387 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 4.387 * * * * [progress]: [ 16 / 151 ] simplifiying candidate # 4.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 4.388 * * [simplify]: iters left: 6 (34 enodes) 4.397 * * [simplify]: iters left: 5 (170 enodes) 4.463 * * [simplify]: Extracting #0: cost 1 inf + 0 4.463 * * [simplify]: Extracting #1: cost 3 inf + 0 4.463 * * [simplify]: Extracting #2: cost 10 inf + 0 4.463 * * [simplify]: Extracting #3: cost 78 inf + 0 4.464 * * [simplify]: Extracting #4: cost 160 inf + 42 4.465 * * [simplify]: Extracting #5: cost 207 inf + 207 4.468 * * [simplify]: Extracting #6: cost 166 inf + 14947 4.477 * * [simplify]: Extracting #7: cost 31 inf + 64720 4.490 * * [simplify]: Extracting #8: cost 1 inf + 64620 4.505 * * [simplify]: Extracting #9: cost 0 inf + 64752 4.517 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 4.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 4.517 * * * * [progress]: [ 17 / 151 ] simplifiying candidate # 4.517 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 4.518 * * [simplify]: iters left: 6 (29 enodes) 4.526 * * [simplify]: iters left: 5 (142 enodes) 4.578 * * [simplify]: iters left: 4 (432 enodes) 4.852 * * [simplify]: Extracting #0: cost 1 inf + 0 4.852 * * [simplify]: Extracting #1: cost 3 inf + 0 4.852 * * [simplify]: Extracting #2: cost 15 inf + 0 4.852 * * [simplify]: Extracting #3: cost 197 inf + 0 4.854 * * [simplify]: Extracting #4: cost 523 inf + 128 4.861 * * [simplify]: Extracting #5: cost 683 inf + 5697 4.874 * * [simplify]: Extracting #6: cost 530 inf + 35960 4.898 * * [simplify]: Extracting #7: cost 270 inf + 116504 4.958 * * [simplify]: Extracting #8: cost 54 inf + 209065 5.029 * * [simplify]: Extracting #9: cost 2 inf + 234344 5.121 * * [simplify]: Extracting #10: cost 0 inf + 235954 5.202 * * [simplify]: Extracting #11: cost 0 inf + 235914 5.276 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 5.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 5.276 * * * * [progress]: [ 18 / 151 ] simplifiying candidate # 5.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 5.277 * * [simplify]: iters left: 6 (37 enodes) 5.298 * * [simplify]: iters left: 5 (182 enodes) 5.387 * * [simplify]: Extracting #0: cost 1 inf + 0 5.387 * * [simplify]: Extracting #1: cost 3 inf + 0 5.387 * * [simplify]: Extracting #2: cost 6 inf + 0 5.387 * * [simplify]: Extracting #3: cost 56 inf + 0 5.388 * * [simplify]: Extracting #4: cost 166 inf + 0 5.389 * * [simplify]: Extracting #5: cost 231 inf + 44 5.392 * * [simplify]: Extracting #6: cost 190 inf + 12089 5.405 * * [simplify]: Extracting #7: cost 64 inf + 47883 5.430 * * [simplify]: Extracting #8: cost 2 inf + 73701 5.454 * * [simplify]: Extracting #9: cost 0 inf + 74618 5.468 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 5.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 5.468 * * * * [progress]: [ 19 / 151 ] simplifiying candidate # 5.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 5.469 * * [simplify]: iters left: 6 (38 enodes) 5.490 * * [simplify]: iters left: 5 (191 enodes) 5.544 * * [simplify]: Extracting #0: cost 1 inf + 0 5.544 * * [simplify]: Extracting #1: cost 3 inf + 0 5.544 * * [simplify]: Extracting #2: cost 6 inf + 0 5.545 * * [simplify]: Extracting #3: cost 60 inf + 0 5.545 * * [simplify]: Extracting #4: cost 189 inf + 0 5.547 * * [simplify]: Extracting #5: cost 232 inf + 1029 5.552 * * [simplify]: Extracting #6: cost 133 inf + 17447 5.567 * * [simplify]: Extracting #7: cost 53 inf + 47217 5.588 * * [simplify]: Extracting #8: cost 5 inf + 69656 5.601 * * [simplify]: Extracting #9: cost 1 inf + 71690 5.618 * * [simplify]: Extracting #10: cost 0 inf + 72915 5.643 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 5.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 5.644 * * * * [progress]: [ 20 / 151 ] simplifiying candidate # 5.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 5.645 * * [simplify]: iters left: 6 (38 enodes) 5.666 * * [simplify]: iters left: 5 (191 enodes) 5.759 * * [simplify]: Extracting #0: cost 1 inf + 0 5.759 * * [simplify]: Extracting #1: cost 3 inf + 0 5.759 * * [simplify]: Extracting #2: cost 6 inf + 0 5.759 * * [simplify]: Extracting #3: cost 62 inf + 0 5.760 * * [simplify]: Extracting #4: cost 187 inf + 0 5.762 * * [simplify]: Extracting #5: cost 226 inf + 1393 5.767 * * [simplify]: Extracting #6: cost 142 inf + 13891 5.781 * * [simplify]: Extracting #7: cost 72 inf + 39771 5.797 * * [simplify]: Extracting #8: cost 6 inf + 67943 5.810 * * [simplify]: Extracting #9: cost 0 inf + 70387 5.824 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 5.824 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 5.824 * * * * [progress]: [ 21 / 151 ] simplifiying candidate # 5.824 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 5.825 * * [simplify]: iters left: 6 (32 enodes) 5.834 * * [simplify]: iters left: 5 (155 enodes) 5.888 * * [simplify]: iters left: 4 (464 enodes) 6.248 * * [simplify]: Extracting #0: cost 1 inf + 0 6.248 * * [simplify]: Extracting #1: cost 3 inf + 0 6.248 * * [simplify]: Extracting #2: cost 20 inf + 0 6.249 * * [simplify]: Extracting #3: cost 271 inf + 0 6.253 * * [simplify]: Extracting #4: cost 679 inf + 541 6.265 * * [simplify]: Extracting #5: cost 615 inf + 27466 6.291 * * [simplify]: Extracting #6: cost 386 inf + 90869 6.329 * * [simplify]: Extracting #7: cost 323 inf + 110848 6.406 * * [simplify]: Extracting #8: cost 107 inf + 199300 6.478 * * [simplify]: Extracting #9: cost 5 inf + 248722 6.542 * * [simplify]: Extracting #10: cost 0 inf + 251527 6.641 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) 6.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 6.642 * * * * [progress]: [ 22 / 151 ] simplifiying candidate # 6.642 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 6.642 * * [simplify]: iters left: 6 (37 enodes) 6.653 * * [simplify]: iters left: 5 (183 enodes) 6.704 * * [simplify]: Extracting #0: cost 1 inf + 0 6.704 * * [simplify]: Extracting #1: cost 3 inf + 0 6.704 * * [simplify]: Extracting #2: cost 10 inf + 0 6.704 * * [simplify]: Extracting #3: cost 78 inf + 0 6.704 * * [simplify]: Extracting #4: cost 176 inf + 1 6.705 * * [simplify]: Extracting #5: cost 212 inf + 334 6.707 * * [simplify]: Extracting #6: cost 163 inf + 12709 6.713 * * [simplify]: Extracting #7: cost 53 inf + 46819 6.734 * * [simplify]: Extracting #8: cost 7 inf + 62671 6.757 * * [simplify]: Extracting #9: cost 1 inf + 66902 6.782 * * [simplify]: Extracting #10: cost 0 inf + 68127 6.794 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 6.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 6.795 * * * * [progress]: [ 23 / 151 ] simplifiying candidate # 6.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 6.795 * * [simplify]: iters left: 6 (32 enodes) 6.804 * * [simplify]: iters left: 5 (155 enodes) 6.844 * * [simplify]: iters left: 4 (457 enodes) 7.134 * * [simplify]: Extracting #0: cost 1 inf + 0 7.134 * * [simplify]: Extracting #1: cost 3 inf + 0 7.134 * * [simplify]: Extracting #2: cost 14 inf + 0 7.135 * * [simplify]: Extracting #3: cost 237 inf + 0 7.137 * * [simplify]: Extracting #4: cost 632 inf + 128 7.141 * * [simplify]: Extracting #5: cost 679 inf + 12534 7.157 * * [simplify]: Extracting #6: cost 423 inf + 80957 7.206 * * [simplify]: Extracting #7: cost 271 inf + 125391 7.262 * * [simplify]: Extracting #8: cost 51 inf + 216923 7.337 * * [simplify]: Extracting #9: cost 0 inf + 242781 7.403 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 7.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 7.404 * * * * [progress]: [ 24 / 151 ] simplifiying candidate # 7.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 7.404 * * [simplify]: iters left: 6 (37 enodes) 7.414 * * [simplify]: iters left: 5 (183 enodes) 7.490 * * [simplify]: Extracting #0: cost 1 inf + 0 7.491 * * [simplify]: Extracting #1: cost 3 inf + 0 7.491 * * [simplify]: Extracting #2: cost 10 inf + 0 7.491 * * [simplify]: Extracting #3: cost 78 inf + 0 7.492 * * [simplify]: Extracting #4: cost 176 inf + 1 7.493 * * [simplify]: Extracting #5: cost 215 inf + 170 7.496 * * [simplify]: Extracting #6: cost 166 inf + 13436 7.511 * * [simplify]: Extracting #7: cost 45 inf + 55066 7.532 * * [simplify]: Extracting #8: cost 8 inf + 63061 7.554 * * [simplify]: Extracting #9: cost 1 inf + 67782 7.573 * * [simplify]: Extracting #10: cost 0 inf + 69007 7.589 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 7.589 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 7.589 * * * * [progress]: [ 25 / 151 ] simplifiying candidate # 7.589 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 7.589 * * [simplify]: iters left: 6 (32 enodes) 7.598 * * [simplify]: iters left: 5 (155 enodes) 7.636 * * [simplify]: iters left: 4 (457 enodes) 7.939 * * [simplify]: Extracting #0: cost 1 inf + 0 7.939 * * [simplify]: Extracting #1: cost 3 inf + 0 7.939 * * [simplify]: Extracting #2: cost 14 inf + 0 7.940 * * [simplify]: Extracting #3: cost 234 inf + 0 7.943 * * [simplify]: Extracting #4: cost 640 inf + 45 7.959 * * [simplify]: Extracting #5: cost 706 inf + 8507 7.982 * * [simplify]: Extracting #6: cost 477 inf + 63722 8.027 * * [simplify]: Extracting #7: cost 281 inf + 124602 8.097 * * [simplify]: Extracting #8: cost 63 inf + 216927 8.174 * * [simplify]: Extracting #9: cost 0 inf + 248431 8.241 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 8.241 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 8.241 * * * * [progress]: [ 26 / 151 ] simplifiying candidate # 8.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 8.242 * * [simplify]: iters left: 6 (37 enodes) 8.254 * * [simplify]: iters left: 5 (182 enodes) 8.326 * * [simplify]: Extracting #0: cost 1 inf + 0 8.326 * * [simplify]: Extracting #1: cost 3 inf + 0 8.326 * * [simplify]: Extracting #2: cost 6 inf + 0 8.327 * * [simplify]: Extracting #3: cost 56 inf + 0 8.327 * * [simplify]: Extracting #4: cost 162 inf + 0 8.328 * * [simplify]: Extracting #5: cost 218 inf + 370 8.331 * * [simplify]: Extracting #6: cost 179 inf + 5338 8.339 * * [simplify]: Extracting #7: cost 98 inf + 24016 8.356 * * [simplify]: Extracting #8: cost 27 inf + 55111 8.380 * * [simplify]: Extracting #9: cost 0 inf + 71370 8.405 * [simplify]: Simplified to (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 8.405 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 8.406 * * * * [progress]: [ 27 / 151 ] simplifiying candidate # 8.406 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 8.407 * * [simplify]: iters left: 6 (38 enodes) 8.428 * * [simplify]: iters left: 5 (191 enodes) 8.520 * * [simplify]: Extracting #0: cost 1 inf + 0 8.520 * * [simplify]: Extracting #1: cost 3 inf + 0 8.520 * * [simplify]: Extracting #2: cost 6 inf + 0 8.520 * * [simplify]: Extracting #3: cost 60 inf + 0 8.521 * * [simplify]: Extracting #4: cost 185 inf + 0 8.522 * * [simplify]: Extracting #5: cost 220 inf + 1235 8.527 * * [simplify]: Extracting #6: cost 132 inf + 15760 8.537 * * [simplify]: Extracting #7: cost 57 inf + 42966 8.549 * * [simplify]: Extracting #8: cost 5 inf + 69821 8.566 * * [simplify]: Extracting #9: cost 1 inf + 71682 8.595 * * [simplify]: Extracting #10: cost 0 inf + 72907 8.609 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) 8.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 8.609 * * * * [progress]: [ 28 / 151 ] simplifiying candidate # 8.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 8.610 * * [simplify]: iters left: 6 (38 enodes) 8.620 * * [simplify]: iters left: 5 (191 enodes) 8.669 * * [simplify]: Extracting #0: cost 1 inf + 0 8.669 * * [simplify]: Extracting #1: cost 3 inf + 0 8.669 * * [simplify]: Extracting #2: cost 6 inf + 0 8.669 * * [simplify]: Extracting #3: cost 62 inf + 0 8.670 * * [simplify]: Extracting #4: cost 183 inf + 0 8.671 * * [simplify]: Extracting #5: cost 224 inf + 701 8.678 * * [simplify]: Extracting #6: cost 166 inf + 13650 8.691 * * [simplify]: Extracting #7: cost 60 inf + 48793 8.703 * * [simplify]: Extracting #8: cost 3 inf + 67325 8.718 * * [simplify]: Extracting #9: cost 0 inf + 70139 8.743 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 8.743 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 8.743 * * * * [progress]: [ 29 / 151 ] simplifiying candidate # 8.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 8.744 * * [simplify]: iters left: 6 (32 enodes) 8.760 * * [simplify]: iters left: 5 (155 enodes) 8.801 * * [simplify]: iters left: 4 (462 enodes) 9.168 * * [simplify]: Extracting #0: cost 1 inf + 0 9.168 * * [simplify]: Extracting #1: cost 3 inf + 0 9.168 * * [simplify]: Extracting #2: cost 20 inf + 0 9.169 * * [simplify]: Extracting #3: cost 284 inf + 0 9.171 * * [simplify]: Extracting #4: cost 671 inf + 1062 9.176 * * [simplify]: Extracting #5: cost 674 inf + 19261 9.189 * * [simplify]: Extracting #6: cost 467 inf + 69092 9.251 * * [simplify]: Extracting #7: cost 229 inf + 151560 9.355 * * [simplify]: Extracting #8: cost 17 inf + 250266 9.431 * * [simplify]: Extracting #9: cost 0 inf + 259619 9.509 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) 9.509 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 9.509 * * * * [progress]: [ 30 / 151 ] simplifiying candidate # 9.510 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 9.510 * * [simplify]: iters left: 6 (37 enodes) 9.520 * * [simplify]: iters left: 5 (183 enodes) 9.587 * * [simplify]: Extracting #0: cost 1 inf + 0 9.587 * * [simplify]: Extracting #1: cost 3 inf + 0 9.587 * * [simplify]: Extracting #2: cost 10 inf + 0 9.588 * * [simplify]: Extracting #3: cost 78 inf + 0 9.588 * * [simplify]: Extracting #4: cost 172 inf + 1 9.589 * * [simplify]: Extracting #5: cost 198 inf + 742 9.591 * * [simplify]: Extracting #6: cost 147 inf + 9265 9.598 * * [simplify]: Extracting #7: cost 54 inf + 39624 9.608 * * [simplify]: Extracting #8: cost 8 inf + 59667 9.622 * * [simplify]: Extracting #9: cost 1 inf + 64374 9.633 * * [simplify]: Extracting #10: cost 0 inf + 65559 9.645 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 9.645 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 9.645 * * * * [progress]: [ 31 / 151 ] simplifiying candidate # 9.646 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 9.646 * * [simplify]: iters left: 6 (32 enodes) 9.655 * * [simplify]: iters left: 5 (155 enodes) 9.701 * * [simplify]: iters left: 4 (455 enodes) 10.030 * * [simplify]: Extracting #0: cost 1 inf + 0 10.031 * * [simplify]: Extracting #1: cost 3 inf + 0 10.031 * * [simplify]: Extracting #2: cost 14 inf + 0 10.031 * * [simplify]: Extracting #3: cost 233 inf + 0 10.035 * * [simplify]: Extracting #4: cost 604 inf + 127 10.048 * * [simplify]: Extracting #5: cost 628 inf + 25142 10.082 * * [simplify]: Extracting #6: cost 368 inf + 88731 10.138 * * [simplify]: Extracting #7: cost 199 inf + 150808 10.209 * * [simplify]: Extracting #8: cost 17 inf + 232909 10.288 * * [simplify]: Extracting #9: cost 0 inf + 241786 10.363 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 10.363 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 10.364 * * * * [progress]: [ 32 / 151 ] simplifiying candidate # 10.365 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 10.365 * * [simplify]: iters left: 6 (37 enodes) 10.380 * * [simplify]: iters left: 5 (183 enodes) 10.420 * * [simplify]: Extracting #0: cost 1 inf + 0 10.420 * * [simplify]: Extracting #1: cost 3 inf + 0 10.421 * * [simplify]: Extracting #2: cost 10 inf + 0 10.421 * * [simplify]: Extracting #3: cost 78 inf + 0 10.421 * * [simplify]: Extracting #4: cost 172 inf + 1 10.422 * * [simplify]: Extracting #5: cost 198 inf + 663 10.424 * * [simplify]: Extracting #6: cost 142 inf + 10199 10.431 * * [simplify]: Extracting #7: cost 39 inf + 47914 10.454 * * [simplify]: Extracting #8: cost 3 inf + 65030 10.477 * * [simplify]: Extracting #9: cost 0 inf + 66399 10.499 * * [simplify]: Extracting #10: cost 0 inf + 66359 10.521 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 10.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 10.522 * * * * [progress]: [ 33 / 151 ] simplifiying candidate # 10.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 10.522 * * [simplify]: iters left: 6 (32 enodes) 10.531 * * [simplify]: iters left: 5 (155 enodes) 10.578 * * [simplify]: iters left: 4 (455 enodes) 10.906 * * [simplify]: Extracting #0: cost 1 inf + 0 10.906 * * [simplify]: Extracting #1: cost 3 inf + 0 10.906 * * [simplify]: Extracting #2: cost 14 inf + 0 10.907 * * [simplify]: Extracting #3: cost 227 inf + 0 10.910 * * [simplify]: Extracting #4: cost 609 inf + 44 10.920 * * [simplify]: Extracting #5: cost 658 inf + 17602 10.952 * * [simplify]: Extracting #6: cost 400 inf + 80815 11.013 * * [simplify]: Extracting #7: cost 206 inf + 148013 11.070 * * [simplify]: Extracting #8: cost 18 inf + 234269 11.123 * * [simplify]: Extracting #9: cost 0 inf + 242083 11.187 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) 11.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 11.188 * * * * [progress]: [ 34 / 151 ] simplifiying candidate # 11.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 11.189 * * [simplify]: iters left: 6 (30 enodes) 11.206 * * [simplify]: iters left: 5 (149 enodes) 11.272 * * [simplify]: iters left: 4 (490 enodes) 12.029 * * [simplify]: Extracting #0: cost 1 inf + 0 12.029 * * [simplify]: Extracting #1: cost 3 inf + 0 12.029 * * [simplify]: Extracting #2: cost 24 inf + 0 12.030 * * [simplify]: Extracting #3: cost 331 inf + 0 12.033 * * [simplify]: Extracting #4: cost 925 inf + 2236 12.043 * * [simplify]: Extracting #5: cost 794 inf + 50286 12.069 * * [simplify]: Extracting #6: cost 543 inf + 120259 12.120 * * [simplify]: Extracting #7: cost 354 inf + 194705 12.207 * * [simplify]: Extracting #8: cost 26 inf + 345467 12.352 * * [simplify]: Extracting #9: cost 0 inf + 359035 12.463 * * [simplify]: Extracting #10: cost 0 inf + 358875 12.563 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 12.563 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 12.563 * * * * [progress]: [ 35 / 151 ] simplifiying candidate # 12.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 12.564 * * [simplify]: iters left: 6 (31 enodes) 12.579 * * [simplify]: iters left: 5 (154 enodes) 12.615 * * [simplify]: iters left: 4 (484 enodes) 13.080 * * [simplify]: Extracting #0: cost 1 inf + 0 13.080 * * [simplify]: Extracting #1: cost 3 inf + 0 13.080 * * [simplify]: Extracting #2: cost 20 inf + 0 13.081 * * [simplify]: Extracting #3: cost 331 inf + 0 13.086 * * [simplify]: Extracting #4: cost 822 inf + 253 13.097 * * [simplify]: Extracting #5: cost 905 inf + 17938 13.116 * * [simplify]: Extracting #6: cost 590 inf + 95394 13.183 * * [simplify]: Extracting #7: cost 310 inf + 194967 13.308 * * [simplify]: Extracting #8: cost 23 inf + 327358 13.426 * * [simplify]: Extracting #9: cost 0 inf + 337160 13.512 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 13.512 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 13.513 * * * * [progress]: [ 36 / 151 ] simplifiying candidate # 13.513 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 13.513 * * [simplify]: iters left: 6 (31 enodes) 13.524 * * [simplify]: iters left: 5 (154 enodes) 13.563 * * [simplify]: iters left: 4 (482 enodes) 13.995 * * [simplify]: Extracting #0: cost 1 inf + 0 13.995 * * [simplify]: Extracting #1: cost 3 inf + 0 13.995 * * [simplify]: Extracting #2: cost 24 inf + 0 13.996 * * [simplify]: Extracting #3: cost 370 inf + 0 13.999 * * [simplify]: Extracting #4: cost 837 inf + 1477 14.019 * * [simplify]: Extracting #5: cost 703 inf + 55610 14.044 * * [simplify]: Extracting #6: cost 467 inf + 121953 14.082 * * [simplify]: Extracting #7: cost 298 inf + 180615 14.190 * * [simplify]: Extracting #8: cost 16 inf + 305748 14.322 * * [simplify]: Extracting #9: cost 0 inf + 312708 14.423 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 14.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 14.424 * * * * [progress]: [ 37 / 151 ] simplifiying candidate # 14.425 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 14.425 * * [simplify]: iters left: 6 (24 enodes) 14.437 * * [simplify]: iters left: 5 (117 enodes) 14.487 * * [simplify]: iters left: 4 (388 enodes) 14.719 * * [simplify]: Extracting #0: cost 1 inf + 0 14.719 * * [simplify]: Extracting #1: cost 3 inf + 0 14.719 * * [simplify]: Extracting #2: cost 20 inf + 0 14.720 * * [simplify]: Extracting #3: cost 248 inf + 0 14.724 * * [simplify]: Extracting #4: cost 637 inf + 1109 14.743 * * [simplify]: Extracting #5: cost 543 inf + 29814 14.764 * * [simplify]: Extracting #6: cost 351 inf + 68571 14.787 * * [simplify]: Extracting #7: cost 204 inf + 114827 14.843 * * [simplify]: Extracting #8: cost 4 inf + 186254 14.901 * * [simplify]: Extracting #9: cost 0 inf + 187994 14.949 * * [simplify]: Extracting #10: cost 0 inf + 187954 15.033 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) 15.033 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 15.033 * * * * [progress]: [ 38 / 151 ] simplifiying candidate # 15.034 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 15.034 * * [simplify]: iters left: 6 (30 enodes) 15.050 * * [simplify]: iters left: 5 (146 enodes) 15.114 * * [simplify]: iters left: 4 (429 enodes) 15.455 * * [simplify]: Extracting #0: cost 1 inf + 0 15.455 * * [simplify]: Extracting #1: cost 3 inf + 0 15.455 * * [simplify]: Extracting #2: cost 19 inf + 0 15.456 * * [simplify]: Extracting #3: cost 263 inf + 0 15.460 * * [simplify]: Extracting #4: cost 666 inf + 496 15.470 * * [simplify]: Extracting #5: cost 659 inf + 21500 15.499 * * [simplify]: Extracting #6: cost 422 inf + 79356 15.550 * * [simplify]: Extracting #7: cost 246 inf + 141225 15.614 * * [simplify]: Extracting #8: cost 21 inf + 232870 15.680 * * [simplify]: Extracting #9: cost 0 inf + 242552 15.753 * * [simplify]: Extracting #10: cost 0 inf + 242512 15.859 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 15.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 15.860 * * * * [progress]: [ 39 / 151 ] simplifiying candidate # 15.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 15.860 * * [simplify]: iters left: 6 (24 enodes) 15.873 * * [simplify]: iters left: 5 (113 enodes) 15.919 * * [simplify]: iters left: 4 (344 enodes) 16.173 * * [simplify]: Extracting #0: cost 1 inf + 0 16.173 * * [simplify]: Extracting #1: cost 3 inf + 0 16.173 * * [simplify]: Extracting #2: cost 14 inf + 0 16.174 * * [simplify]: Extracting #3: cost 204 inf + 0 16.177 * * [simplify]: Extracting #4: cost 514 inf + 371 16.187 * * [simplify]: Extracting #5: cost 469 inf + 22354 16.222 * * [simplify]: Extracting #6: cost 156 inf + 95639 16.284 * * [simplify]: Extracting #7: cost 5 inf + 153528 16.353 * * [simplify]: Extracting #8: cost 0 inf + 155251 16.416 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 16.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 16.417 * * * * [progress]: [ 40 / 151 ] simplifiying candidate # 16.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 16.417 * * [simplify]: iters left: 6 (30 enodes) 16.425 * * [simplify]: iters left: 5 (146 enodes) 16.465 * * [simplify]: iters left: 4 (429 enodes) 16.742 * * [simplify]: Extracting #0: cost 1 inf + 0 16.742 * * [simplify]: Extracting #1: cost 3 inf + 0 16.742 * * [simplify]: Extracting #2: cost 19 inf + 0 16.743 * * [simplify]: Extracting #3: cost 247 inf + 0 16.747 * * [simplify]: Extracting #4: cost 626 inf + 334 16.759 * * [simplify]: Extracting #5: cost 651 inf + 20467 16.788 * * [simplify]: Extracting #6: cost 432 inf + 70944 16.841 * * [simplify]: Extracting #7: cost 279 inf + 123539 16.932 * * [simplify]: Extracting #8: cost 20 inf + 231228 17.022 * * [simplify]: Extracting #9: cost 0 inf + 239725 17.103 * * [simplify]: Extracting #10: cost 0 inf + 239685 17.168 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 17.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 17.168 * * * * [progress]: [ 41 / 151 ] simplifiying candidate # 17.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 17.169 * * [simplify]: iters left: 6 (24 enodes) 17.175 * * [simplify]: iters left: 5 (113 enodes) 17.206 * * [simplify]: iters left: 4 (344 enodes) 17.389 * * [simplify]: Extracting #0: cost 1 inf + 0 17.389 * * [simplify]: Extracting #1: cost 3 inf + 0 17.389 * * [simplify]: Extracting #2: cost 14 inf + 0 17.389 * * [simplify]: Extracting #3: cost 202 inf + 0 17.392 * * [simplify]: Extracting #4: cost 514 inf + 615 17.403 * * [simplify]: Extracting #5: cost 460 inf + 23934 17.436 * * [simplify]: Extracting #6: cost 160 inf + 95598 17.485 * * [simplify]: Extracting #7: cost 7 inf + 152557 17.534 * * [simplify]: Extracting #8: cost 0 inf + 155369 17.588 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 17.588 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 17.588 * * * * [progress]: [ 42 / 151 ] simplifiying candidate # 17.589 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 17.589 * * [simplify]: iters left: 6 (35 enodes) 17.609 * * [simplify]: iters left: 5 (165 enodes) 17.683 * * [simplify]: iters left: 4 (469 enodes) 18.060 * * [simplify]: Extracting #0: cost 1 inf + 0 18.060 * * [simplify]: Extracting #1: cost 3 inf + 0 18.060 * * [simplify]: Extracting #2: cost 30 inf + 0 18.061 * * [simplify]: Extracting #3: cost 323 inf + 0 18.065 * * [simplify]: Extracting #4: cost 776 inf + 782 18.083 * * [simplify]: Extracting #5: cost 687 inf + 50669 18.124 * * [simplify]: Extracting #6: cost 497 inf + 111740 18.214 * * [simplify]: Extracting #7: cost 205 inf + 251345 18.356 * * [simplify]: Extracting #8: cost 3 inf + 356997 18.449 * * [simplify]: Extracting #9: cost 0 inf + 359512 18.557 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 18.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 18.558 * * * * [progress]: [ 43 / 151 ] simplifiying candidate # 18.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 18.558 * * [simplify]: iters left: 6 (36 enodes) 18.568 * * [simplify]: iters left: 5 (174 enodes) 18.609 * * [simplify]: Extracting #0: cost 1 inf + 0 18.609 * * [simplify]: Extracting #1: cost 3 inf + 0 18.609 * * [simplify]: Extracting #2: cost 6 inf + 0 18.609 * * [simplify]: Extracting #3: cost 59 inf + 0 18.610 * * [simplify]: Extracting #4: cost 164 inf + 0 18.610 * * [simplify]: Extracting #5: cost 198 inf + 293 18.612 * * [simplify]: Extracting #6: cost 159 inf + 10851 18.618 * * [simplify]: Extracting #7: cost 65 inf + 44942 18.628 * * [simplify]: Extracting #8: cost 9 inf + 60296 18.639 * * [simplify]: Extracting #9: cost 1 inf + 65221 18.650 * * [simplify]: Extracting #10: cost 0 inf + 66406 18.671 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 18.671 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 18.672 * * * * [progress]: [ 44 / 151 ] simplifiying candidate # 18.672 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 18.673 * * [simplify]: iters left: 6 (36 enodes) 18.691 * * [simplify]: iters left: 5 (174 enodes) 18.751 * * [simplify]: Extracting #0: cost 1 inf + 0 18.751 * * [simplify]: Extracting #1: cost 3 inf + 0 18.751 * * [simplify]: Extracting #2: cost 6 inf + 0 18.751 * * [simplify]: Extracting #3: cost 61 inf + 0 18.752 * * [simplify]: Extracting #4: cost 162 inf + 0 18.752 * * [simplify]: Extracting #5: cost 193 inf + 376 18.754 * * [simplify]: Extracting #6: cost 149 inf + 9037 18.761 * * [simplify]: Extracting #7: cost 43 inf + 44092 18.780 * * [simplify]: Extracting #8: cost 4 inf + 62497 18.801 * * [simplify]: Extracting #9: cost 0 inf + 64078 18.822 * * [simplify]: Extracting #10: cost 0 inf + 64038 18.844 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 18.844 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 18.845 * * * * [progress]: [ 45 / 151 ] simplifiying candidate # 18.845 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 18.846 * * [simplify]: iters left: 6 (30 enodes) 18.861 * * [simplify]: iters left: 5 (138 enodes) 18.915 * * [simplify]: iters left: 4 (379 enodes) 19.182 * * [simplify]: Extracting #0: cost 1 inf + 0 19.183 * * [simplify]: Extracting #1: cost 3 inf + 0 19.183 * * [simplify]: Extracting #2: cost 26 inf + 0 19.183 * * [simplify]: Extracting #3: cost 264 inf + 0 19.185 * * [simplify]: Extracting #4: cost 532 inf + 2420 19.191 * * [simplify]: Extracting #5: cost 460 inf + 30750 19.204 * * [simplify]: Extracting #6: cost 350 inf + 59206 19.244 * * [simplify]: Extracting #7: cost 202 inf + 110152 19.325 * * [simplify]: Extracting #8: cost 12 inf + 194243 19.381 * * [simplify]: Extracting #9: cost 0 inf + 201397 19.439 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 19.439 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 19.440 * * * * [progress]: [ 46 / 151 ] simplifiying candidate # 19.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 19.440 * * [simplify]: iters left: 6 (35 enodes) 19.459 * * [simplify]: iters left: 5 (166 enodes) 19.522 * * [simplify]: iters left: 4 (443 enodes) 19.848 * * [simplify]: Extracting #0: cost 1 inf + 0 19.848 * * [simplify]: Extracting #1: cost 3 inf + 0 19.848 * * [simplify]: Extracting #2: cost 24 inf + 0 19.856 * * [simplify]: Extracting #3: cost 282 inf + 0 19.860 * * [simplify]: Extracting #4: cost 577 inf + 827 19.870 * * [simplify]: Extracting #5: cost 641 inf + 12796 19.886 * * [simplify]: Extracting #6: cost 462 inf + 61370 19.919 * * [simplify]: Extracting #7: cost 207 inf + 166316 19.999 * * [simplify]: Extracting #8: cost 4 inf + 267027 20.062 * * [simplify]: Extracting #9: cost 0 inf + 270927 20.140 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 20.140 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 20.140 * * * * [progress]: [ 47 / 151 ] simplifiying candidate # 20.141 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 20.141 * * [simplify]: iters left: 6 (30 enodes) 20.154 * * [simplify]: iters left: 5 (138 enodes) 20.210 * * [simplify]: iters left: 4 (370 enodes) 20.447 * * [simplify]: Extracting #0: cost 1 inf + 0 20.447 * * [simplify]: Extracting #1: cost 3 inf + 0 20.447 * * [simplify]: Extracting #2: cost 19 inf + 0 20.448 * * [simplify]: Extracting #3: cost 235 inf + 0 20.449 * * [simplify]: Extracting #4: cost 438 inf + 1119 20.453 * * [simplify]: Extracting #5: cost 486 inf + 15698 20.471 * * [simplify]: Extracting #6: cost 212 inf + 90906 20.516 * * [simplify]: Extracting #7: cost 29 inf + 169628 20.563 * * [simplify]: Extracting #8: cost 12 inf + 177338 20.624 * * [simplify]: Extracting #9: cost 0 inf + 183311 20.662 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) 20.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 20.662 * * * * [progress]: [ 48 / 151 ] simplifiying candidate # 20.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 20.663 * * [simplify]: iters left: 6 (35 enodes) 20.672 * * [simplify]: iters left: 5 (166 enodes) 20.724 * * [simplify]: iters left: 4 (443 enodes) 21.036 * * [simplify]: Extracting #0: cost 1 inf + 0 21.036 * * [simplify]: Extracting #1: cost 3 inf + 0 21.036 * * [simplify]: Extracting #2: cost 24 inf + 0 21.037 * * [simplify]: Extracting #3: cost 266 inf + 0 21.040 * * [simplify]: Extracting #4: cost 536 inf + 991 21.049 * * [simplify]: Extracting #5: cost 627 inf + 15930 21.078 * * [simplify]: Extracting #6: cost 300 inf + 128169 21.123 * * [simplify]: Extracting #7: cost 94 inf + 221836 21.211 * * [simplify]: Extracting #8: cost 10 inf + 265097 21.290 * * [simplify]: Extracting #9: cost 0 inf + 270483 21.402 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 21.402 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 21.402 * * * * [progress]: [ 49 / 151 ] simplifiying candidate # 21.403 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 21.403 * * [simplify]: iters left: 6 (30 enodes) 21.419 * * [simplify]: iters left: 5 (138 enodes) 21.464 * * [simplify]: iters left: 4 (370 enodes) 21.628 * * [simplify]: Extracting #0: cost 1 inf + 0 21.628 * * [simplify]: Extracting #1: cost 3 inf + 0 21.629 * * [simplify]: Extracting #2: cost 19 inf + 0 21.629 * * [simplify]: Extracting #3: cost 232 inf + 0 21.631 * * [simplify]: Extracting #4: cost 439 inf + 1239 21.635 * * [simplify]: Extracting #5: cost 468 inf + 18938 21.651 * * [simplify]: Extracting #6: cost 220 inf + 86371 21.684 * * [simplify]: Extracting #7: cost 39 inf + 163790 21.754 * * [simplify]: Extracting #8: cost 11 inf + 177528 21.796 * * [simplify]: Extracting #9: cost 0 inf + 183055 21.856 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) 21.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 21.857 * * * * [progress]: [ 50 / 151 ] simplifiying candidate # 21.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 21.858 * * [simplify]: iters left: 6 (31 enodes) 21.873 * * [simplify]: iters left: 5 (140 enodes) 21.928 * * [simplify]: iters left: 4 (410 enodes) 22.280 * * [simplify]: Extracting #0: cost 1 inf + 0 22.280 * * [simplify]: Extracting #1: cost 3 inf + 0 22.280 * * [simplify]: Extracting #2: cost 26 inf + 0 22.281 * * [simplify]: Extracting #3: cost 282 inf + 0 22.283 * * [simplify]: Extracting #4: cost 736 inf + 1471 22.291 * * [simplify]: Extracting #5: cost 645 inf + 35049 22.308 * * [simplify]: Extracting #6: cost 470 inf + 81590 22.358 * * [simplify]: Extracting #7: cost 314 inf + 143034 22.436 * * [simplify]: Extracting #8: cost 31 inf + 271913 22.541 * * [simplify]: Extracting #9: cost 0 inf + 288207 22.649 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) 22.649 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 22.650 * * * * [progress]: [ 51 / 151 ] simplifiying candidate # 22.650 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 22.650 * * [simplify]: iters left: 6 (32 enodes) 22.666 * * [simplify]: iters left: 5 (149 enodes) 22.697 * * [simplify]: iters left: 4 (443 enodes) 23.067 * * [simplify]: Extracting #0: cost 1 inf + 0 23.067 * * [simplify]: Extracting #1: cost 3 inf + 0 23.067 * * [simplify]: Extracting #2: cost 22 inf + 0 23.068 * * [simplify]: Extracting #3: cost 281 inf + 0 23.072 * * [simplify]: Extracting #4: cost 718 inf + 627 23.084 * * [simplify]: Extracting #5: cost 775 inf + 18230 23.111 * * [simplify]: Extracting #6: cost 554 inf + 72089 23.145 * * [simplify]: Extracting #7: cost 363 inf + 136536 23.238 * * [simplify]: Extracting #8: cost 48 inf + 273546 23.330 * * [simplify]: Extracting #9: cost 0 inf + 295983 23.446 * * [simplify]: Extracting #10: cost 0 inf + 295903 23.522 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 23.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 23.523 * * * * [progress]: [ 52 / 151 ] simplifiying candidate # 23.523 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 23.523 * * [simplify]: iters left: 6 (32 enodes) 23.532 * * [simplify]: iters left: 5 (149 enodes) 23.584 * * [simplify]: iters left: 4 (441 enodes) 23.982 * * [simplify]: Extracting #0: cost 1 inf + 0 23.982 * * [simplify]: Extracting #1: cost 3 inf + 0 23.982 * * [simplify]: Extracting #2: cost 26 inf + 0 23.983 * * [simplify]: Extracting #3: cost 318 inf + 0 23.986 * * [simplify]: Extracting #4: cost 741 inf + 1278 23.992 * * [simplify]: Extracting #5: cost 673 inf + 32150 24.008 * * [simplify]: Extracting #6: cost 477 inf + 79251 24.059 * * [simplify]: Extracting #7: cost 289 inf + 147640 24.121 * * [simplify]: Extracting #8: cost 33 inf + 259084 24.224 * * [simplify]: Extracting #9: cost 0 inf + 275949 24.311 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) 24.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 24.312 * * * * [progress]: [ 53 / 151 ] simplifiying candidate # 24.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 24.312 * * [simplify]: iters left: 6 (25 enodes) 24.325 * * [simplify]: iters left: 5 (108 enodes) 24.347 * * [simplify]: iters left: 4 (312 enodes) 24.553 * * [simplify]: Extracting #0: cost 1 inf + 0 24.554 * * [simplify]: Extracting #1: cost 3 inf + 0 24.554 * * [simplify]: Extracting #2: cost 22 inf + 0 24.554 * * [simplify]: Extracting #3: cost 220 inf + 0 24.556 * * [simplify]: Extracting #4: cost 524 inf + 1030 24.560 * * [simplify]: Extracting #5: cost 427 inf + 22801 24.587 * * [simplify]: Extracting #6: cost 192 inf + 85477 24.647 * * [simplify]: Extracting #7: cost 16 inf + 148950 24.714 * * [simplify]: Extracting #8: cost 0 inf + 155350 24.773 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 24.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 24.773 * * * * [progress]: [ 54 / 151 ] simplifiying candidate # 24.773 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 24.773 * * [simplify]: iters left: 6 (31 enodes) 24.782 * * [simplify]: iters left: 5 (141 enodes) 24.810 * * [simplify]: iters left: 4 (384 enodes) 25.066 * * [simplify]: Extracting #0: cost 1 inf + 0 25.066 * * [simplify]: Extracting #1: cost 3 inf + 0 25.066 * * [simplify]: Extracting #2: cost 22 inf + 0 25.067 * * [simplify]: Extracting #3: cost 264 inf + 0 25.070 * * [simplify]: Extracting #4: cost 576 inf + 540 25.079 * * [simplify]: Extracting #5: cost 560 inf + 18060 25.105 * * [simplify]: Extracting #6: cost 408 inf + 52588 25.124 * * [simplify]: Extracting #7: cost 255 inf + 106848 25.182 * * [simplify]: Extracting #8: cost 8 inf + 209323 25.236 * * [simplify]: Extracting #9: cost 0 inf + 212641 25.300 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 25.300 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 25.301 * * * * [progress]: [ 55 / 151 ] simplifiying candidate # 25.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 25.302 * * [simplify]: iters left: 6 (25 enodes) 25.313 * * [simplify]: iters left: 5 (108 enodes) 25.334 * * [simplify]: iters left: 4 (303 enodes) 25.552 * * [simplify]: Extracting #0: cost 1 inf + 0 25.552 * * [simplify]: Extracting #1: cost 3 inf + 0 25.552 * * [simplify]: Extracting #2: cost 16 inf + 0 25.552 * * [simplify]: Extracting #3: cost 201 inf + 0 25.553 * * [simplify]: Extracting #4: cost 408 inf + 1117 25.557 * * [simplify]: Extracting #5: cost 392 inf + 13772 25.568 * * [simplify]: Extracting #6: cost 188 inf + 58801 25.603 * * [simplify]: Extracting #7: cost 14 inf + 121394 25.640 * * [simplify]: Extracting #8: cost 0 inf + 127664 25.682 * * [simplify]: Extracting #9: cost 0 inf + 127584 25.719 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 25.719 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 25.719 * * * * [progress]: [ 56 / 151 ] simplifiying candidate # 25.720 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 25.720 * * [simplify]: iters left: 6 (31 enodes) 25.736 * * [simplify]: iters left: 5 (141 enodes) 25.792 * * [simplify]: iters left: 4 (384 enodes) 26.051 * * [simplify]: Extracting #0: cost 1 inf + 0 26.051 * * [simplify]: Extracting #1: cost 3 inf + 0 26.051 * * [simplify]: Extracting #2: cost 22 inf + 0 26.052 * * [simplify]: Extracting #3: cost 248 inf + 0 26.055 * * [simplify]: Extracting #4: cost 539 inf + 459 26.064 * * [simplify]: Extracting #5: cost 568 inf + 16202 26.088 * * [simplify]: Extracting #6: cost 442 inf + 39815 26.125 * * [simplify]: Extracting #7: cost 267 inf + 103916 26.188 * * [simplify]: Extracting #8: cost 7 inf + 208659 26.273 * * [simplify]: Extracting #9: cost 0 inf + 211380 26.325 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 26.325 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 26.325 * * * * [progress]: [ 57 / 151 ] simplifiying candidate # 26.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 26.326 * * [simplify]: iters left: 6 (25 enodes) 26.334 * * [simplify]: iters left: 5 (108 enodes) 26.360 * * [simplify]: iters left: 4 (303 enodes) 26.551 * * [simplify]: Extracting #0: cost 1 inf + 0 26.551 * * [simplify]: Extracting #1: cost 3 inf + 0 26.551 * * [simplify]: Extracting #2: cost 16 inf + 0 26.552 * * [simplify]: Extracting #3: cost 198 inf + 0 26.554 * * [simplify]: Extracting #4: cost 414 inf + 749 26.557 * * [simplify]: Extracting #5: cost 387 inf + 14998 26.569 * * [simplify]: Extracting #6: cost 181 inf + 62415 26.606 * * [simplify]: Extracting #7: cost 40 inf + 110466 26.661 * * [simplify]: Extracting #8: cost 0 inf + 127666 26.715 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 26.716 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 26.716 * * * * [progress]: [ 58 / 151 ] simplifiying candidate # 26.716 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 26.717 * * [simplify]: iters left: 6 (35 enodes) 26.738 * * [simplify]: iters left: 5 (165 enodes) 26.782 * * [simplify]: iters left: 4 (469 enodes) 27.121 * * [simplify]: Extracting #0: cost 1 inf + 0 27.121 * * [simplify]: Extracting #1: cost 3 inf + 0 27.121 * * [simplify]: Extracting #2: cost 30 inf + 0 27.122 * * [simplify]: Extracting #3: cost 325 inf + 0 27.125 * * [simplify]: Extracting #4: cost 777 inf + 538 27.130 * * [simplify]: Extracting #5: cost 757 inf + 19893 27.152 * * [simplify]: Extracting #6: cost 566 inf + 75120 27.179 * * [simplify]: Extracting #7: cost 421 inf + 126297 27.262 * * [simplify]: Extracting #8: cost 138 inf + 266388 27.352 * * [simplify]: Extracting #9: cost 4 inf + 343311 27.453 * * [simplify]: Extracting #10: cost 0 inf + 346451 27.572 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 27.572 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 27.573 * * * * [progress]: [ 59 / 151 ] simplifiying candidate # 27.573 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 27.573 * * [simplify]: iters left: 6 (36 enodes) 27.583 * * [simplify]: iters left: 5 (174 enodes) 27.636 * * [simplify]: Extracting #0: cost 1 inf + 0 27.636 * * [simplify]: Extracting #1: cost 3 inf + 0 27.636 * * [simplify]: Extracting #2: cost 6 inf + 0 27.636 * * [simplify]: Extracting #3: cost 59 inf + 0 27.637 * * [simplify]: Extracting #4: cost 166 inf + 0 27.637 * * [simplify]: Extracting #5: cost 211 inf + 44 27.639 * * [simplify]: Extracting #6: cost 168 inf + 13357 27.646 * * [simplify]: Extracting #7: cost 53 inf + 51438 27.665 * * [simplify]: Extracting #8: cost 7 inf + 60593 27.686 * * [simplify]: Extracting #9: cost 1 inf + 64261 27.703 * * [simplify]: Extracting #10: cost 0 inf + 65446 27.713 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 27.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 27.714 * * * * [progress]: [ 60 / 151 ] simplifiying candidate # 27.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 27.714 * * [simplify]: iters left: 6 (36 enodes) 27.724 * * [simplify]: iters left: 5 (174 enodes) 27.770 * * [simplify]: Extracting #0: cost 1 inf + 0 27.770 * * [simplify]: Extracting #1: cost 3 inf + 0 27.770 * * [simplify]: Extracting #2: cost 6 inf + 0 27.771 * * [simplify]: Extracting #3: cost 61 inf + 0 27.771 * * [simplify]: Extracting #4: cost 164 inf + 0 27.772 * * [simplify]: Extracting #5: cost 207 inf + 44 27.775 * * [simplify]: Extracting #6: cost 170 inf + 9992 27.785 * * [simplify]: Extracting #7: cost 39 inf + 54211 27.796 * * [simplify]: Extracting #8: cost 4 inf + 62278 27.809 * * [simplify]: Extracting #9: cost 0 inf + 63118 27.829 * * [simplify]: Extracting #10: cost 0 inf + 63078 27.840 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 27.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 27.840 * * * * [progress]: [ 61 / 151 ] simplifiying candidate # 27.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 27.841 * * [simplify]: iters left: 6 (30 enodes) 27.849 * * [simplify]: iters left: 5 (138 enodes) 27.893 * * [simplify]: iters left: 4 (379 enodes) 28.093 * * [simplify]: Extracting #0: cost 1 inf + 0 28.093 * * [simplify]: Extracting #1: cost 3 inf + 0 28.093 * * [simplify]: Extracting #2: cost 26 inf + 0 28.094 * * [simplify]: Extracting #3: cost 263 inf + 0 28.097 * * [simplify]: Extracting #4: cost 542 inf + 744 28.104 * * [simplify]: Extracting #5: cost 523 inf + 11348 28.131 * * [simplify]: Extracting #6: cost 277 inf + 82625 28.212 * * [simplify]: Extracting #7: cost 35 inf + 177247 28.292 * * [simplify]: Extracting #8: cost 3 inf + 190758 28.347 * * [simplify]: Extracting #9: cost 0 inf + 192833 28.403 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 28.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 28.403 * * * * [progress]: [ 62 / 151 ] simplifiying candidate # 28.404 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 28.404 * * [simplify]: iters left: 6 (35 enodes) 28.416 * * [simplify]: iters left: 5 (166 enodes) 28.464 * * [simplify]: iters left: 4 (443 enodes) 28.760 * * [simplify]: Extracting #0: cost 1 inf + 0 28.760 * * [simplify]: Extracting #1: cost 3 inf + 0 28.760 * * [simplify]: Extracting #2: cost 24 inf + 0 28.761 * * [simplify]: Extracting #3: cost 288 inf + 0 28.763 * * [simplify]: Extracting #4: cost 592 inf + 538 28.767 * * [simplify]: Extracting #5: cost 639 inf + 13930 28.791 * * [simplify]: Extracting #6: cost 310 inf + 118827 28.864 * * [simplify]: Extracting #7: cost 63 inf + 239511 28.935 * * [simplify]: Extracting #8: cost 1 inf + 269332 29.019 * * [simplify]: Extracting #9: cost 0 inf + 270477 29.129 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 29.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 29.129 * * * * [progress]: [ 63 / 151 ] simplifiying candidate # 29.130 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 29.130 * * [simplify]: iters left: 6 (30 enodes) 29.142 * * [simplify]: iters left: 5 (138 enodes) 29.174 * * [simplify]: iters left: 4 (370 enodes) 29.430 * * [simplify]: Extracting #0: cost 1 inf + 0 29.431 * * [simplify]: Extracting #1: cost 3 inf + 0 29.431 * * [simplify]: Extracting #2: cost 19 inf + 0 29.431 * * [simplify]: Extracting #3: cost 238 inf + 0 29.434 * * [simplify]: Extracting #4: cost 447 inf + 829 29.448 * * [simplify]: Extracting #5: cost 490 inf + 12845 29.472 * * [simplify]: Extracting #6: cost 214 inf + 89374 29.521 * * [simplify]: Extracting #7: cost 16 inf + 176117 29.586 * * [simplify]: Extracting #8: cost 0 inf + 182129 29.645 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) 29.645 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 29.645 * * * * [progress]: [ 64 / 151 ] simplifiying candidate # 29.645 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 29.646 * * [simplify]: iters left: 6 (35 enodes) 29.656 * * [simplify]: iters left: 5 (166 enodes) 29.711 * * [simplify]: iters left: 4 (443 enodes) 29.988 * * [simplify]: Extracting #0: cost 1 inf + 0 29.988 * * [simplify]: Extracting #1: cost 3 inf + 0 29.988 * * [simplify]: Extracting #2: cost 24 inf + 0 29.988 * * [simplify]: Extracting #3: cost 272 inf + 0 29.990 * * [simplify]: Extracting #4: cost 549 inf + 867 29.994 * * [simplify]: Extracting #5: cost 641 inf + 11430 30.026 * * [simplify]: Extracting #6: cost 372 inf + 90223 30.079 * * [simplify]: Extracting #7: cost 124 inf + 199824 30.142 * * [simplify]: Extracting #8: cost 8 inf + 264067 30.242 * * [simplify]: Extracting #9: cost 0 inf + 269187 30.316 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 30.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 30.317 * * * * [progress]: [ 65 / 151 ] simplifiying candidate # 30.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 30.317 * * [simplify]: iters left: 6 (30 enodes) 30.325 * * [simplify]: iters left: 5 (138 enodes) 30.366 * * [simplify]: iters left: 4 (370 enodes) 30.535 * * [simplify]: Extracting #0: cost 1 inf + 0 30.535 * * [simplify]: Extracting #1: cost 3 inf + 0 30.535 * * [simplify]: Extracting #2: cost 19 inf + 0 30.536 * * [simplify]: Extracting #3: cost 235 inf + 0 30.539 * * [simplify]: Extracting #4: cost 448 inf + 746 30.548 * * [simplify]: Extracting #5: cost 454 inf + 19933 30.575 * * [simplify]: Extracting #6: cost 207 inf + 92031 30.622 * * [simplify]: Extracting #7: cost 15 inf + 175768 30.675 * * [simplify]: Extracting #8: cost 0 inf + 181793 30.720 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) 30.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 30.721 * * * * [progress]: [ 66 / 151 ] simplifiying candidate # 30.721 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 30.721 * * [simplify]: iters left: 6 (31 enodes) 30.734 * * [simplify]: iters left: 5 (140 enodes) 30.766 * * [simplify]: iters left: 4 (410 enodes) 31.060 * * [simplify]: Extracting #0: cost 1 inf + 0 31.060 * * [simplify]: Extracting #1: cost 3 inf + 0 31.060 * * [simplify]: Extracting #2: cost 26 inf + 0 31.061 * * [simplify]: Extracting #3: cost 299 inf + 0 31.065 * * [simplify]: Extracting #4: cost 756 inf + 539 31.077 * * [simplify]: Extracting #5: cost 698 inf + 23106 31.091 * * [simplify]: Extracting #6: cost 493 inf + 77057 31.120 * * [simplify]: Extracting #7: cost 345 inf + 129812 31.203 * * [simplify]: Extracting #8: cost 24 inf + 274385 31.298 * * [simplify]: Extracting #9: cost 0 inf + 286865 31.398 * * [simplify]: Extracting #10: cost 0 inf + 286785 31.494 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 31.494 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 31.494 * * * * [progress]: [ 67 / 151 ] simplifiying candidate # 31.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 31.495 * * [simplify]: iters left: 6 (32 enodes) 31.512 * * [simplify]: iters left: 5 (149 enodes) 31.573 * * [simplify]: iters left: 4 (443 enodes) 31.932 * * [simplify]: Extracting #0: cost 1 inf + 0 31.932 * * [simplify]: Extracting #1: cost 3 inf + 0 31.932 * * [simplify]: Extracting #2: cost 22 inf + 0 31.932 * * [simplify]: Extracting #3: cost 297 inf + 0 31.935 * * [simplify]: Extracting #4: cost 725 inf + 212 31.941 * * [simplify]: Extracting #5: cost 794 inf + 13274 31.962 * * [simplify]: Extracting #6: cost 557 inf + 69631 32.000 * * [simplify]: Extracting #7: cost 327 inf + 152616 32.086 * * [simplify]: Extracting #8: cost 14 inf + 288682 32.198 * * [simplify]: Extracting #9: cost 0 inf + 291792 32.300 * * [simplify]: Extracting #10: cost 0 inf + 291752 32.396 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 32.396 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 32.396 * * * * [progress]: [ 68 / 151 ] simplifiying candidate # 32.397 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 32.397 * * [simplify]: iters left: 6 (32 enodes) 32.415 * * [simplify]: iters left: 5 (149 enodes) 32.449 * * [simplify]: iters left: 4 (441 enodes) 32.800 * * [simplify]: Extracting #0: cost 1 inf + 0 32.800 * * [simplify]: Extracting #1: cost 3 inf + 0 32.800 * * [simplify]: Extracting #2: cost 26 inf + 0 32.801 * * [simplify]: Extracting #3: cost 341 inf + 0 32.806 * * [simplify]: Extracting #4: cost 751 inf + 1605 32.820 * * [simplify]: Extracting #5: cost 680 inf + 34309 32.849 * * [simplify]: Extracting #6: cost 486 inf + 81626 32.896 * * [simplify]: Extracting #7: cost 311 inf + 143754 32.962 * * [simplify]: Extracting #8: cost 42 inf + 255509 33.048 * * [simplify]: Extracting #9: cost 0 inf + 272879 33.136 * * [simplify]: Extracting #10: cost 0 inf + 272839 33.246 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) 33.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 33.246 * * * * [progress]: [ 69 / 151 ] simplifiying candidate # 33.246 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 33.246 * * [simplify]: iters left: 6 (25 enodes) 33.253 * * [simplify]: iters left: 5 (108 enodes) 33.274 * * [simplify]: iters left: 4 (312 enodes) 33.467 * * [simplify]: Extracting #0: cost 1 inf + 0 33.467 * * [simplify]: Extracting #1: cost 3 inf + 0 33.467 * * [simplify]: Extracting #2: cost 22 inf + 0 33.468 * * [simplify]: Extracting #3: cost 228 inf + 0 33.472 * * [simplify]: Extracting #4: cost 515 inf + 1477 33.481 * * [simplify]: Extracting #5: cost 424 inf + 21595 33.510 * * [simplify]: Extracting #6: cost 189 inf + 83464 33.560 * * [simplify]: Extracting #7: cost 3 inf + 149990 33.627 * * [simplify]: Extracting #8: cost 0 inf + 149585 33.698 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 33.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 33.698 * * * * [progress]: [ 70 / 151 ] simplifiying candidate # 33.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 33.699 * * [simplify]: iters left: 6 (31 enodes) 33.717 * * [simplify]: iters left: 5 (141 enodes) 33.771 * * [simplify]: iters left: 4 (384 enodes) 34.041 * * [simplify]: Extracting #0: cost 1 inf + 0 34.041 * * [simplify]: Extracting #1: cost 3 inf + 0 34.041 * * [simplify]: Extracting #2: cost 22 inf + 0 34.042 * * [simplify]: Extracting #3: cost 276 inf + 0 34.046 * * [simplify]: Extracting #4: cost 582 inf + 910 34.055 * * [simplify]: Extracting #5: cost 558 inf + 19642 34.091 * * [simplify]: Extracting #6: cost 271 inf + 106372 34.153 * * [simplify]: Extracting #7: cost 9 inf + 209299 34.210 * * [simplify]: Extracting #8: cost 0 inf + 213578 34.273 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 34.273 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 34.273 * * * * [progress]: [ 71 / 151 ] simplifiying candidate # 34.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 34.273 * * [simplify]: iters left: 6 (25 enodes) 34.279 * * [simplify]: iters left: 5 (108 enodes) 34.299 * * [simplify]: iters left: 4 (303 enodes) 34.484 * * [simplify]: Extracting #0: cost 1 inf + 0 34.484 * * [simplify]: Extracting #1: cost 3 inf + 0 34.484 * * [simplify]: Extracting #2: cost 16 inf + 0 34.485 * * [simplify]: Extracting #3: cost 213 inf + 0 34.492 * * [simplify]: Extracting #4: cost 424 inf + 1159 34.500 * * [simplify]: Extracting #5: cost 381 inf + 16791 34.515 * * [simplify]: Extracting #6: cost 283 inf + 31892 34.541 * * [simplify]: Extracting #7: cost 175 inf + 67299 34.593 * * [simplify]: Extracting #8: cost 5 inf + 128635 34.636 * * [simplify]: Extracting #9: cost 0 inf + 130200 34.689 * * [simplify]: Extracting #10: cost 0 inf + 130160 34.738 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 34.738 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 34.739 * * * * [progress]: [ 72 / 151 ] simplifiying candidate # 34.739 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 34.739 * * [simplify]: iters left: 6 (31 enodes) 34.755 * * [simplify]: iters left: 5 (141 enodes) 34.795 * * [simplify]: iters left: 4 (384 enodes) 35.544 * * [simplify]: Extracting #0: cost 1 inf + 0 35.544 * * [simplify]: Extracting #1: cost 3 inf + 0 35.544 * * [simplify]: Extracting #2: cost 22 inf + 0 35.545 * * [simplify]: Extracting #3: cost 260 inf + 0 35.548 * * [simplify]: Extracting #4: cost 549 inf + 500 35.558 * * [simplify]: Extracting #5: cost 568 inf + 16697 35.594 * * [simplify]: Extracting #6: cost 312 inf + 92055 35.660 * * [simplify]: Extracting #7: cost 21 inf + 206085 35.735 * * [simplify]: Extracting #8: cost 2 inf + 212650 35.815 * * [simplify]: Extracting #9: cost 0 inf + 213074 35.906 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 35.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 35.906 * * * * [progress]: [ 73 / 151 ] simplifiying candidate # 35.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 35.907 * * [simplify]: iters left: 6 (25 enodes) 35.920 * * [simplify]: iters left: 5 (108 enodes) 35.962 * * [simplify]: iters left: 4 (303 enodes) 36.168 * * [simplify]: Extracting #0: cost 1 inf + 0 36.168 * * [simplify]: Extracting #1: cost 3 inf + 0 36.168 * * [simplify]: Extracting #2: cost 16 inf + 0 36.169 * * [simplify]: Extracting #3: cost 209 inf + 0 36.172 * * [simplify]: Extracting #4: cost 428 inf + 502 36.179 * * [simplify]: Extracting #5: cost 395 inf + 14799 36.204 * * [simplify]: Extracting #6: cost 181 inf + 66662 36.262 * * [simplify]: Extracting #7: cost 8 inf + 127318 36.318 * * [simplify]: Extracting #8: cost 0 inf + 130238 36.348 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 36.348 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 36.348 * * * * [progress]: [ 74 / 151 ] simplifiying candidate # 36.348 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 36.348 * * [simplify]: iters left: 6 (18 enodes) 36.354 * * [simplify]: iters left: 5 (84 enodes) 36.393 * * [simplify]: iters left: 4 (228 enodes) 36.546 * * [simplify]: Extracting #0: cost 1 inf + 0 36.546 * * [simplify]: Extracting #1: cost 3 inf + 0 36.546 * * [simplify]: Extracting #2: cost 6 inf + 0 36.546 * * [simplify]: Extracting #3: cost 73 inf + 0 36.548 * * [simplify]: Extracting #4: cost 265 inf + 2 36.550 * * [simplify]: Extracting #5: cost 286 inf + 1801 36.561 * * [simplify]: Extracting #6: cost 166 inf + 30220 36.595 * * [simplify]: Extracting #7: cost 30 inf + 75336 36.641 * * [simplify]: Extracting #8: cost 0 inf + 85497 36.683 * * [simplify]: Extracting #9: cost 0 inf + 85166 36.726 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 36.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) 36.726 * * * * [progress]: [ 75 / 151 ] simplifiying candidate # 36.727 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 36.727 * * [simplify]: iters left: 6 (17 enodes) 36.736 * * [simplify]: iters left: 5 (77 enodes) 36.761 * * [simplify]: iters left: 4 (210 enodes) 36.897 * * [simplify]: Extracting #0: cost 1 inf + 0 36.897 * * [simplify]: Extracting #1: cost 3 inf + 0 36.897 * * [simplify]: Extracting #2: cost 25 inf + 0 36.897 * * [simplify]: Extracting #3: cost 107 inf + 0 36.898 * * [simplify]: Extracting #4: cost 254 inf + 44 36.899 * * [simplify]: Extracting #5: cost 259 inf + 2051 36.902 * * [simplify]: Extracting #6: cost 192 inf + 11834 36.911 * * [simplify]: Extracting #7: cost 126 inf + 29261 36.939 * * [simplify]: Extracting #8: cost 21 inf + 64729 36.957 * * [simplify]: Extracting #9: cost 0 inf + 72252 36.981 * [simplify]: Simplified to (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 36.981 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 36.982 * * * * [progress]: [ 76 / 151 ] simplifiying candidate # 36.982 * [simplify]: Simplifying (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) 36.982 * * [simplify]: iters left: 6 (14 enodes) 36.987 * * [simplify]: iters left: 5 (56 enodes) 36.996 * * [simplify]: iters left: 4 (105 enodes) 37.027 * * [simplify]: iters left: 3 (306 enodes) 37.181 * * [simplify]: Extracting #0: cost 1 inf + 0 37.181 * * [simplify]: Extracting #1: cost 18 inf + 0 37.182 * * [simplify]: Extracting #2: cost 146 inf + 0 37.183 * * [simplify]: Extracting #3: cost 200 inf + 248 37.186 * * [simplify]: Extracting #4: cost 198 inf + 2293 37.192 * * [simplify]: Extracting #5: cost 128 inf + 16154 37.211 * * [simplify]: Extracting #6: cost 17 inf + 49935 37.234 * * [simplify]: Extracting #7: cost 0 inf + 55678 37.260 * [simplify]: Simplified to (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 37.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (/ 1 2)))) 37.260 * * * * [progress]: [ 77 / 151 ] simplifiying candidate # 37.260 * * * * [progress]: [ 78 / 151 ] simplifiying candidate # 37.261 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) 37.261 * * [simplify]: iters left: 6 (15 enodes) 37.268 * * [simplify]: iters left: 5 (59 enodes) 37.292 * * [simplify]: iters left: 4 (108 enodes) 37.340 * * [simplify]: iters left: 3 (309 enodes) 37.506 * * [simplify]: Extracting #0: cost 1 inf + 0 37.506 * * [simplify]: Extracting #1: cost 3 inf + 0 37.506 * * [simplify]: Extracting #2: cost 20 inf + 0 37.507 * * [simplify]: Extracting #3: cost 141 inf + 0 37.508 * * [simplify]: Extracting #4: cost 198 inf + 209 37.510 * * [simplify]: Extracting #5: cost 202 inf + 1887 37.515 * * [simplify]: Extracting #6: cost 136 inf + 13902 37.535 * * [simplify]: Extracting #7: cost 10 inf + 53057 37.560 * * [simplify]: Extracting #8: cost 0 inf + 56025 37.584 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 37.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 37.585 * * * * [progress]: [ 79 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 80 / 151 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))> 37.585 * * * * [progress]: [ 81 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 82 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 83 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 84 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 85 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 86 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 87 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 88 / 151 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 37.585 * * * * [progress]: [ 89 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 90 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 91 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 92 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 93 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 94 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 95 / 151 ] simplifiying candidate # 37.585 * * * * [progress]: [ 96 / 151 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))> 37.585 * * * * [progress]: [ 97 / 151 ] simplifiying candidate # 37.586 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.586 * * [simplify]: iters left: 6 (10 enodes) 37.588 * * [simplify]: iters left: 5 (34 enodes) 37.592 * * [simplify]: iters left: 4 (43 enodes) 37.599 * * [simplify]: iters left: 3 (57 enodes) 37.606 * * [simplify]: iters left: 2 (66 enodes) 37.616 * * [simplify]: iters left: 1 (68 enodes) 37.623 * * [simplify]: Extracting #0: cost 1 inf + 0 37.623 * * [simplify]: Extracting #1: cost 7 inf + 0 37.623 * * [simplify]: Extracting #2: cost 17 inf + 0 37.623 * * [simplify]: Extracting #3: cost 20 inf + 2 37.623 * * [simplify]: Extracting #4: cost 18 inf + 169 37.623 * * [simplify]: Extracting #5: cost 15 inf + 213 37.624 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.624 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.625 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.625 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.625 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.625 * [simplify]: Simplifying (+ 1 1) 37.625 * * [simplify]: iters left: 2 (2 enodes) 37.627 * * [simplify]: iters left: 1 (9 enodes) 37.629 * * [simplify]: Extracting #0: cost 1 inf + 0 37.629 * * [simplify]: Extracting #1: cost 0 inf + 1 37.629 * [simplify]: Simplified to 2 37.629 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.629 * * * * [progress]: [ 98 / 151 ] simplifiying candidate # 37.629 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.629 * * [simplify]: iters left: 6 (10 enodes) 37.631 * * [simplify]: iters left: 5 (34 enodes) 37.636 * * [simplify]: iters left: 4 (43 enodes) 37.643 * * [simplify]: iters left: 3 (57 enodes) 37.650 * * [simplify]: iters left: 2 (66 enodes) 37.658 * * [simplify]: iters left: 1 (68 enodes) 37.665 * * [simplify]: Extracting #0: cost 1 inf + 0 37.665 * * [simplify]: Extracting #1: cost 7 inf + 0 37.665 * * [simplify]: Extracting #2: cost 17 inf + 0 37.665 * * [simplify]: Extracting #3: cost 20 inf + 2 37.665 * * [simplify]: Extracting #4: cost 18 inf + 169 37.665 * * [simplify]: Extracting #5: cost 15 inf + 213 37.666 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.666 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.666 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.667 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.667 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.667 * [simplify]: Simplifying (+ 1 1) 37.667 * * [simplify]: iters left: 2 (2 enodes) 37.669 * * [simplify]: iters left: 1 (9 enodes) 37.670 * * [simplify]: Extracting #0: cost 1 inf + 0 37.670 * * [simplify]: Extracting #1: cost 0 inf + 1 37.670 * [simplify]: Simplified to 2 37.670 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.671 * * * * [progress]: [ 99 / 151 ] simplifiying candidate # 37.671 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.671 * * [simplify]: iters left: 6 (10 enodes) 37.673 * * [simplify]: iters left: 5 (34 enodes) 37.683 * * [simplify]: iters left: 4 (43 enodes) 37.697 * * [simplify]: iters left: 3 (57 enodes) 37.713 * * [simplify]: iters left: 2 (66 enodes) 37.730 * * [simplify]: iters left: 1 (68 enodes) 37.745 * * [simplify]: Extracting #0: cost 1 inf + 0 37.745 * * [simplify]: Extracting #1: cost 7 inf + 0 37.745 * * [simplify]: Extracting #2: cost 17 inf + 0 37.745 * * [simplify]: Extracting #3: cost 20 inf + 2 37.746 * * [simplify]: Extracting #4: cost 18 inf + 169 37.746 * * [simplify]: Extracting #5: cost 15 inf + 213 37.746 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.747 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.748 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.749 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.749 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.750 * [simplify]: Simplifying (+ 1 1) 37.750 * * [simplify]: iters left: 2 (2 enodes) 37.752 * * [simplify]: iters left: 1 (9 enodes) 37.755 * * [simplify]: Extracting #0: cost 1 inf + 0 37.755 * * [simplify]: Extracting #1: cost 0 inf + 1 37.755 * [simplify]: Simplified to 2 37.755 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.755 * * * * [progress]: [ 100 / 151 ] simplifiying candidate # 37.756 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.756 * * [simplify]: iters left: 6 (10 enodes) 37.761 * * [simplify]: iters left: 5 (34 enodes) 37.768 * * [simplify]: iters left: 4 (43 enodes) 37.774 * * [simplify]: iters left: 3 (57 enodes) 37.782 * * [simplify]: iters left: 2 (66 enodes) 37.790 * * [simplify]: iters left: 1 (68 enodes) 37.798 * * [simplify]: Extracting #0: cost 1 inf + 0 37.798 * * [simplify]: Extracting #1: cost 7 inf + 0 37.798 * * [simplify]: Extracting #2: cost 17 inf + 0 37.798 * * [simplify]: Extracting #3: cost 20 inf + 2 37.799 * * [simplify]: Extracting #4: cost 18 inf + 169 37.799 * * [simplify]: Extracting #5: cost 15 inf + 213 37.799 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.800 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.801 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.802 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.802 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.803 * [simplify]: Simplifying (+ 1 1) 37.803 * * [simplify]: iters left: 2 (2 enodes) 37.805 * * [simplify]: iters left: 1 (9 enodes) 37.809 * * [simplify]: Extracting #0: cost 1 inf + 0 37.809 * * [simplify]: Extracting #1: cost 0 inf + 1 37.809 * [simplify]: Simplified to 2 37.809 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.809 * * * * [progress]: [ 101 / 151 ] simplifiying candidate # 37.810 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.810 * * [simplify]: iters left: 6 (11 enodes) 37.816 * * [simplify]: iters left: 5 (44 enodes) 37.833 * * [simplify]: iters left: 4 (84 enodes) 37.872 * * [simplify]: iters left: 3 (250 enodes) 38.007 * * [simplify]: Extracting #0: cost 1 inf + 0 38.007 * * [simplify]: Extracting #1: cost 27 inf + 0 38.007 * * [simplify]: Extracting #2: cost 118 inf + 0 38.008 * * [simplify]: Extracting #3: cost 159 inf + 250 38.009 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.010 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.015 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.025 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.034 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.034 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.034 * * * * [progress]: [ 102 / 151 ] simplifiying candidate # 38.034 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.034 * * [simplify]: iters left: 6 (11 enodes) 38.037 * * [simplify]: iters left: 5 (44 enodes) 38.044 * * [simplify]: iters left: 4 (84 enodes) 38.081 * * [simplify]: iters left: 3 (250 enodes) 38.215 * * [simplify]: Extracting #0: cost 1 inf + 0 38.215 * * [simplify]: Extracting #1: cost 27 inf + 0 38.215 * * [simplify]: Extracting #2: cost 118 inf + 0 38.216 * * [simplify]: Extracting #3: cost 159 inf + 250 38.218 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.221 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.230 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.245 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.262 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.262 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.262 * * * * [progress]: [ 103 / 151 ] simplifiying candidate # 38.263 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.263 * * [simplify]: iters left: 6 (11 enodes) 38.266 * * [simplify]: iters left: 5 (44 enodes) 38.273 * * [simplify]: iters left: 4 (84 enodes) 38.294 * * [simplify]: iters left: 3 (250 enodes) 38.422 * * [simplify]: Extracting #0: cost 1 inf + 0 38.423 * * [simplify]: Extracting #1: cost 27 inf + 0 38.423 * * [simplify]: Extracting #2: cost 118 inf + 0 38.424 * * [simplify]: Extracting #3: cost 159 inf + 250 38.425 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.426 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.430 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.438 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.452 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.453 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.453 * * * * [progress]: [ 104 / 151 ] simplifiying candidate # 38.453 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.453 * * [simplify]: iters left: 6 (11 enodes) 38.459 * * [simplify]: iters left: 5 (44 enodes) 38.472 * * [simplify]: iters left: 4 (84 enodes) 38.506 * * [simplify]: iters left: 3 (250 enodes) 38.626 * * [simplify]: Extracting #0: cost 1 inf + 0 38.626 * * [simplify]: Extracting #1: cost 27 inf + 0 38.626 * * [simplify]: Extracting #2: cost 118 inf + 0 38.627 * * [simplify]: Extracting #3: cost 159 inf + 250 38.628 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.629 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.633 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.641 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.650 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.650 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.650 * * * * [progress]: [ 105 / 151 ] simplifiying candidate # 38.650 * * * * [progress]: [ 106 / 151 ] simplifiying candidate # 38.650 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.650 * * [simplify]: iters left: 6 (10 enodes) 38.653 * * [simplify]: iters left: 5 (34 enodes) 38.657 * * [simplify]: iters left: 4 (43 enodes) 38.665 * * [simplify]: iters left: 3 (57 enodes) 38.672 * * [simplify]: iters left: 2 (66 enodes) 38.680 * * [simplify]: iters left: 1 (68 enodes) 38.693 * * [simplify]: Extracting #0: cost 1 inf + 0 38.694 * * [simplify]: Extracting #1: cost 7 inf + 0 38.694 * * [simplify]: Extracting #2: cost 17 inf + 0 38.694 * * [simplify]: Extracting #3: cost 20 inf + 2 38.694 * * [simplify]: Extracting #4: cost 18 inf + 169 38.694 * * [simplify]: Extracting #5: cost 15 inf + 213 38.695 * * [simplify]: Extracting #6: cost 9 inf + 1014 38.695 * * [simplify]: Extracting #7: cost 3 inf + 2116 38.697 * * [simplify]: Extracting #8: cost 0 inf + 2707 38.698 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.698 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 38.698 * * * * [progress]: [ 107 / 151 ] simplifiying candidate # 38.698 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.698 * * [simplify]: iters left: 6 (10 enodes) 38.703 * * [simplify]: iters left: 5 (34 enodes) 38.713 * * [simplify]: iters left: 4 (43 enodes) 38.725 * * [simplify]: iters left: 3 (57 enodes) 38.740 * * [simplify]: iters left: 2 (66 enodes) 38.755 * * [simplify]: iters left: 1 (68 enodes) 38.770 * * [simplify]: Extracting #0: cost 1 inf + 0 38.770 * * [simplify]: Extracting #1: cost 7 inf + 0 38.770 * * [simplify]: Extracting #2: cost 17 inf + 0 38.770 * * [simplify]: Extracting #3: cost 20 inf + 2 38.770 * * [simplify]: Extracting #4: cost 18 inf + 169 38.771 * * [simplify]: Extracting #5: cost 15 inf + 213 38.771 * * [simplify]: Extracting #6: cost 9 inf + 1014 38.772 * * [simplify]: Extracting #7: cost 3 inf + 2116 38.773 * * [simplify]: Extracting #8: cost 0 inf + 2707 38.774 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.774 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 38.774 * * * * [progress]: [ 108 / 151 ] simplifiying candidate # 38.774 * * * * [progress]: [ 109 / 151 ] simplifiying candidate # 38.774 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 38.775 * * [simplify]: iters left: 6 (13 enodes) 38.780 * * [simplify]: iters left: 5 (47 enodes) 38.791 * * [simplify]: iters left: 4 (62 enodes) 38.799 * * [simplify]: iters left: 3 (70 enodes) 38.808 * * [simplify]: iters left: 2 (71 enodes) 38.816 * * [simplify]: Extracting #0: cost 1 inf + 0 38.816 * * [simplify]: Extracting #1: cost 9 inf + 0 38.816 * * [simplify]: Extracting #2: cost 18 inf + 0 38.817 * * [simplify]: Extracting #3: cost 24 inf + 0 38.817 * * [simplify]: Extracting #4: cost 26 inf + 2 38.817 * * [simplify]: Extracting #5: cost 24 inf + 240 38.817 * * [simplify]: Extracting #6: cost 18 inf + 699 38.818 * * [simplify]: Extracting #7: cost 13 inf + 1092 38.819 * * [simplify]: Extracting #8: cost 3 inf + 4304 38.821 * * [simplify]: Extracting #9: cost 0 inf + 5327 38.823 * [simplify]: Simplified to (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2)))) 38.823 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.823 * * * * [progress]: [ 110 / 151 ] simplifiying candidate # 38.824 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.824 * * [simplify]: iters left: 6 (15 enodes) 38.831 * * [simplify]: iters left: 5 (51 enodes) 38.845 * * [simplify]: iters left: 4 (70 enodes) 38.865 * * [simplify]: iters left: 3 (93 enodes) 38.889 * * [simplify]: iters left: 2 (106 enodes) 38.915 * * [simplify]: iters left: 1 (108 enodes) 38.938 * * [simplify]: Extracting #0: cost 1 inf + 0 38.939 * * [simplify]: Extracting #1: cost 9 inf + 0 38.939 * * [simplify]: Extracting #2: cost 19 inf + 0 38.939 * * [simplify]: Extracting #3: cost 29 inf + 0 38.939 * * [simplify]: Extracting #4: cost 35 inf + 2 38.939 * * [simplify]: Extracting #5: cost 32 inf + 504 38.940 * * [simplify]: Extracting #6: cost 28 inf + 699 38.940 * * [simplify]: Extracting #7: cost 23 inf + 1092 38.942 * * [simplify]: Extracting #8: cost 5 inf + 5975 38.945 * * [simplify]: Extracting #9: cost 0 inf + 7047 38.946 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) 38.947 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.947 * * * * [progress]: [ 111 / 151 ] simplifiying candidate # 38.947 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 38.947 * * [simplify]: iters left: 6 (15 enodes) 38.950 * * [simplify]: iters left: 5 (51 enodes) 38.958 * * [simplify]: iters left: 4 (70 enodes) 38.968 * * [simplify]: iters left: 3 (94 enodes) 38.986 * * [simplify]: iters left: 2 (106 enodes) 39.011 * * [simplify]: iters left: 1 (108 enodes) 39.035 * * [simplify]: Extracting #0: cost 1 inf + 0 39.036 * * [simplify]: Extracting #1: cost 9 inf + 0 39.036 * * [simplify]: Extracting #2: cost 19 inf + 0 39.036 * * [simplify]: Extracting #3: cost 29 inf + 0 39.036 * * [simplify]: Extracting #4: cost 35 inf + 2 39.036 * * [simplify]: Extracting #5: cost 32 inf + 504 39.037 * * [simplify]: Extracting #6: cost 27 inf + 741 39.038 * * [simplify]: Extracting #7: cost 17 inf + 2322 39.039 * * [simplify]: Extracting #8: cost 4 inf + 6159 39.041 * * [simplify]: Extracting #9: cost 0 inf + 7047 39.043 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.043 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.043 * * * * [progress]: [ 112 / 151 ] simplifiying candidate # 39.043 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.043 * * [simplify]: iters left: 6 (12 enodes) 39.046 * * [simplify]: iters left: 5 (43 enodes) 39.052 * * [simplify]: iters left: 4 (61 enodes) 39.062 * * [simplify]: iters left: 3 (87 enodes) 39.074 * * [simplify]: iters left: 2 (104 enodes) 39.098 * * [simplify]: iters left: 1 (107 enodes) 39.122 * * [simplify]: Extracting #0: cost 1 inf + 0 39.122 * * [simplify]: Extracting #1: cost 9 inf + 0 39.122 * * [simplify]: Extracting #2: cost 19 inf + 0 39.123 * * [simplify]: Extracting #3: cost 29 inf + 0 39.123 * * [simplify]: Extracting #4: cost 35 inf + 2 39.123 * * [simplify]: Extracting #5: cost 34 inf + 239 39.123 * * [simplify]: Extracting #6: cost 28 inf + 589 39.124 * * [simplify]: Extracting #7: cost 19 inf + 1898 39.126 * * [simplify]: Extracting #8: cost 2 inf + 6307 39.129 * * [simplify]: Extracting #9: cost 0 inf + 7047 39.131 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.131 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.131 * * * * [progress]: [ 113 / 151 ] simplifiying candidate # 39.132 * * * * [progress]: [ 114 / 151 ] simplifiying candidate # 39.132 * * * * [progress]: [ 115 / 151 ] simplifiying candidate # 39.132 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 39.132 * * [simplify]: iters left: 6 (15 enodes) 39.140 * * [simplify]: iters left: 5 (62 enodes) 39.166 * * [simplify]: iters left: 4 (179 enodes) 39.337 * * [simplify]: Extracting #0: cost 1 inf + 0 39.338 * * [simplify]: Extracting #1: cost 48 inf + 0 39.339 * * [simplify]: Extracting #2: cost 228 inf + 0 39.342 * * [simplify]: Extracting #3: cost 234 inf + 2399 39.346 * * [simplify]: Extracting #4: cost 200 inf + 7307 39.357 * * [simplify]: Extracting #5: cost 134 inf + 26490 39.392 * * [simplify]: Extracting #6: cost 12 inf + 74024 39.418 * * [simplify]: Extracting #7: cost 0 inf + 77284 39.454 * * [simplify]: Extracting #8: cost 0 inf + 75804 39.476 * * [simplify]: Extracting #9: cost 0 inf + 75444 39.511 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 39.511 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.511 * * * * [progress]: [ 116 / 151 ] simplifiying candidate # 39.511 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.512 * * [simplify]: iters left: 6 (18 enodes) 39.521 * * [simplify]: iters left: 5 (78 enodes) 39.545 * * [simplify]: iters left: 4 (221 enodes) 39.724 * * [simplify]: Extracting #0: cost 1 inf + 0 39.724 * * [simplify]: Extracting #1: cost 73 inf + 0 39.726 * * [simplify]: Extracting #2: cost 307 inf + 1 39.729 * * [simplify]: Extracting #3: cost 341 inf + 1026 39.733 * * [simplify]: Extracting #4: cost 317 inf + 4075 39.746 * * [simplify]: Extracting #5: cost 233 inf + 31818 39.788 * * [simplify]: Extracting #6: cost 24 inf + 110296 39.832 * * [simplify]: Extracting #7: cost 0 inf + 114736 39.873 * * [simplify]: Extracting #8: cost 0 inf + 114496 39.915 * [simplify]: Simplified to (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.915 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.915 * * * * [progress]: [ 117 / 151 ] simplifiying candidate # 39.915 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 39.916 * * [simplify]: iters left: 6 (18 enodes) 39.921 * * [simplify]: iters left: 5 (78 enodes) 39.938 * * [simplify]: iters left: 4 (227 enodes) 40.173 * * [simplify]: Extracting #0: cost 1 inf + 0 40.173 * * [simplify]: Extracting #1: cost 62 inf + 0 40.175 * * [simplify]: Extracting #2: cost 305 inf + 1 40.182 * * [simplify]: Extracting #3: cost 339 inf + 1146 40.186 * * [simplify]: Extracting #4: cost 314 inf + 4357 40.191 * * [simplify]: Extracting #5: cost 309 inf + 4776 40.195 * * [simplify]: Extracting #6: cost 307 inf + 4901 40.208 * * [simplify]: Extracting #7: cost 243 inf + 26198 40.259 * * [simplify]: Extracting #8: cost 33 inf + 101383 40.320 * * [simplify]: Extracting #9: cost 0 inf + 113366 40.366 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 40.366 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.367 * * * * [progress]: [ 118 / 151 ] simplifiying candidate # 40.367 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 40.367 * * [simplify]: iters left: 6 (13 enodes) 40.371 * * [simplify]: iters left: 5 (59 enodes) 40.387 * * [simplify]: iters left: 4 (182 enodes) 40.531 * * [simplify]: Extracting #0: cost 1 inf + 0 40.531 * * [simplify]: Extracting #1: cost 44 inf + 0 40.531 * * [simplify]: Extracting #2: cost 209 inf + 2 40.532 * * [simplify]: Extracting #3: cost 245 inf + 910 40.534 * * [simplify]: Extracting #4: cost 224 inf + 3232 40.539 * * [simplify]: Extracting #5: cost 156 inf + 23601 40.570 * * [simplify]: Extracting #6: cost 7 inf + 74141 40.607 * * [simplify]: Extracting #7: cost 0 inf + 76796 40.644 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 40.644 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.644 * * * * [progress]: [ 119 / 151 ] simplifiying candidate # 40.644 * * * * [progress]: [ 120 / 151 ] simplifiying candidate # 40.644 * * * * [progress]: [ 121 / 151 ] simplifiying candidate # 40.644 * * * * [progress]: [ 122 / 151 ] simplifiying candidate # 40.645 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 40.645 * * [simplify]: iters left: 6 (14 enodes) 40.653 * * [simplify]: iters left: 5 (65 enodes) 40.678 * * [simplify]: iters left: 4 (142 enodes) 40.742 * * [simplify]: Extracting #0: cost 1 inf + 0 40.742 * * [simplify]: Extracting #1: cost 27 inf + 0 40.742 * * [simplify]: Extracting #2: cost 67 inf + 0 40.743 * * [simplify]: Extracting #3: cost 174 inf + 0 40.743 * * [simplify]: Extracting #4: cost 172 inf + 2655 40.746 * * [simplify]: Extracting #5: cost 95 inf + 36352 40.756 * * [simplify]: Extracting #6: cost 11 inf + 68762 40.765 * * [simplify]: Extracting #7: cost 0 inf + 64036 40.775 * * [simplify]: Extracting #8: cost 0 inf + 63093 40.784 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) 40.784 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.785 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 40.785 * * [simplify]: iters left: 6 (8 enodes) 40.789 * * [simplify]: iters left: 5 (37 enodes) 40.803 * * [simplify]: iters left: 4 (104 enodes) 40.850 * * [simplify]: iters left: 3 (447 enodes) 41.156 * * [simplify]: Extracting #0: cost 1 inf + 0 41.157 * * [simplify]: Extracting #1: cost 54 inf + 0 41.158 * * [simplify]: Extracting #2: cost 255 inf + 0 41.164 * * [simplify]: Extracting #3: cost 217 inf + 12248 41.194 * * [simplify]: Extracting #4: cost 46 inf + 55023 41.217 * * [simplify]: Extracting #5: cost 1 inf + 67953 41.240 * * [simplify]: Extracting #6: cost 0 inf + 67835 41.276 * [simplify]: Simplified to (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) 41.276 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.276 * * * * [progress]: [ 123 / 151 ] simplifiying candidate # 41.277 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 41.277 * * [simplify]: iters left: 6 (18 enodes) 41.286 * * [simplify]: iters left: 5 (79 enodes) 41.318 * * [simplify]: iters left: 4 (170 enodes) 41.375 * * [simplify]: Extracting #0: cost 1 inf + 0 41.375 * * [simplify]: Extracting #1: cost 42 inf + 0 41.376 * * [simplify]: Extracting #2: cost 137 inf + 0 41.377 * * [simplify]: Extracting #3: cost 190 inf + 208 41.379 * * [simplify]: Extracting #4: cost 168 inf + 4633 41.384 * * [simplify]: Extracting #5: cost 107 inf + 22463 41.399 * * [simplify]: Extracting #6: cost 11 inf + 58811 41.413 * * [simplify]: Extracting #7: cost 0 inf + 63449 41.423 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) 41.423 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.423 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) 41.423 * * [simplify]: iters left: 6 (9 enodes) 41.426 * * [simplify]: iters left: 5 (41 enodes) 41.437 * * [simplify]: iters left: 4 (101 enodes) 41.473 * * [simplify]: iters left: 3 (279 enodes) 41.602 * * [simplify]: Extracting #0: cost 1 inf + 0 41.602 * * [simplify]: Extracting #1: cost 29 inf + 0 41.603 * * [simplify]: Extracting #2: cost 105 inf + 0 41.603 * * [simplify]: Extracting #3: cost 100 inf + 1180 41.606 * * [simplify]: Extracting #4: cost 42 inf + 11650 41.611 * * [simplify]: Extracting #5: cost 0 inf + 20704 41.617 * * [simplify]: Extracting #6: cost 0 inf + 20224 41.623 * [simplify]: Simplified to (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) 41.623 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.623 * * * * [progress]: [ 124 / 151 ] simplifiying candidate # 41.623 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 41.623 * * [simplify]: iters left: 6 (18 enodes) 41.631 * * [simplify]: iters left: 5 (79 enodes) 41.663 * * [simplify]: iters left: 4 (170 enodes) 41.732 * * [simplify]: Extracting #0: cost 1 inf + 0 41.732 * * [simplify]: Extracting #1: cost 41 inf + 0 41.733 * * [simplify]: Extracting #2: cost 130 inf + 0 41.734 * * [simplify]: Extracting #3: cost 201 inf + 738 41.737 * * [simplify]: Extracting #4: cost 180 inf + 4064 41.744 * * [simplify]: Extracting #5: cost 110 inf + 27300 41.764 * * [simplify]: Extracting #6: cost 3 inf + 67769 41.786 * * [simplify]: Extracting #7: cost 0 inf + 68629 41.808 * [simplify]: Simplified to (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) 41.808 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.809 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 41.809 * * [simplify]: iters left: 6 (9 enodes) 41.813 * * [simplify]: iters left: 5 (41 enodes) 41.832 * * [simplify]: iters left: 4 (99 enodes) 41.873 * * [simplify]: iters left: 3 (265 enodes) 41.981 * * [simplify]: Extracting #0: cost 1 inf + 0 41.981 * * [simplify]: Extracting #1: cost 32 inf + 0 41.982 * * [simplify]: Extracting #2: cost 82 inf + 0 41.982 * * [simplify]: Extracting #3: cost 87 inf + 3 41.984 * * [simplify]: Extracting #4: cost 47 inf + 5757 41.991 * * [simplify]: Extracting #5: cost 2 inf + 14985 41.999 * * [simplify]: Extracting #6: cost 0 inf + 15178 42.006 * [simplify]: Simplified to (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)) 42.007 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 42.007 * * * * [progress]: [ 125 / 151 ] simplifiying candidate # 42.007 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 42.008 * * [simplify]: iters left: 6 (13 enodes) 42.014 * * [simplify]: iters left: 5 (53 enodes) 42.038 * * [simplify]: iters left: 4 (118 enodes) 42.078 * * [simplify]: iters left: 3 (498 enodes) 42.830 * * [simplify]: Extracting #0: cost 1 inf + 0 42.830 * * [simplify]: Extracting #1: cost 82 inf + 0 42.833 * * [simplify]: Extracting #2: cost 437 inf + 0 42.840 * * [simplify]: Extracting #3: cost 660 inf + 4629 42.865 * * [simplify]: Extracting #4: cost 507 inf + 29884 42.899 * * [simplify]: Extracting #5: cost 274 inf + 104553 42.946 * * [simplify]: Extracting #6: cost 8 inf + 199205 43.011 * * [simplify]: Extracting #7: cost 0 inf + 202325 43.103 * [simplify]: Simplified to (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 43.103 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.104 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2)) 43.104 * * [simplify]: iters left: 4 (4 enodes) 43.105 * * [simplify]: iters left: 3 (19 enodes) 43.108 * * [simplify]: iters left: 2 (41 enodes) 43.114 * * [simplify]: iters left: 1 (77 enodes) 43.124 * * [simplify]: Extracting #0: cost 1 inf + 0 43.124 * * [simplify]: Extracting #1: cost 11 inf + 0 43.124 * * [simplify]: Extracting #2: cost 29 inf + 0 43.124 * * [simplify]: Extracting #3: cost 24 inf + 127 43.125 * * [simplify]: Extracting #4: cost 4 inf + 1844 43.125 * * [simplify]: Extracting #5: cost 0 inf + 2332 43.126 * * [simplify]: Extracting #6: cost 0 inf + 2292 43.127 * [simplify]: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1)) 43.127 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.127 * * * * [progress]: [ 126 / 151 ] simplifiying candidate # 43.127 * * * * [progress]: [ 127 / 151 ] simplifiying candidate # 43.127 * [simplify]: Simplifying (* (- lambda1 lambda2) (- lambda1 lambda2)) 43.127 * * [simplify]: iters left: 4 (4 enodes) 43.128 * * [simplify]: iters left: 3 (14 enodes) 43.130 * * [simplify]: iters left: 2 (23 enodes) 43.134 * * [simplify]: iters left: 1 (49 enodes) 43.142 * * [simplify]: Extracting #0: cost 1 inf + 0 43.142 * * [simplify]: Extracting #1: cost 17 inf + 0 43.142 * * [simplify]: Extracting #2: cost 32 inf + 0 43.142 * * [simplify]: Extracting #3: cost 30 inf + 43 43.143 * * [simplify]: Extracting #4: cost 7 inf + 2364 43.144 * * [simplify]: Extracting #5: cost 0 inf + 3176 43.144 * [simplify]: Simplified to (* (- lambda1 lambda2) (- lambda1 lambda2)) 43.144 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.145 * [simplify]: Simplifying (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) 43.145 * * [simplify]: iters left: 6 (7 enodes) 43.147 * * [simplify]: iters left: 5 (22 enodes) 43.150 * * [simplify]: Extracting #0: cost 1 inf + 0 43.150 * * [simplify]: Extracting #1: cost 3 inf + 0 43.150 * * [simplify]: Extracting #2: cost 5 inf + 0 43.150 * * [simplify]: Extracting #3: cost 8 inf + 0 43.150 * * [simplify]: Extracting #4: cost 10 inf + 1 43.150 * * [simplify]: Extracting #5: cost 8 inf + 3 43.150 * * [simplify]: Extracting #6: cost 1 inf + 722 43.150 * * [simplify]: Extracting #7: cost 0 inf + 905 43.150 * [simplify]: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) 43.151 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.151 * * * * [progress]: [ 128 / 151 ] simplifiying candidate # 43.151 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.151 * * [simplify]: iters left: 6 (10 enodes) 43.153 * * [simplify]: iters left: 5 (34 enodes) 43.160 * * [simplify]: iters left: 4 (43 enodes) 43.167 * * [simplify]: iters left: 3 (57 enodes) 43.176 * * [simplify]: iters left: 2 (66 enodes) 43.185 * * [simplify]: iters left: 1 (68 enodes) 43.194 * * [simplify]: Extracting #0: cost 1 inf + 0 43.194 * * [simplify]: Extracting #1: cost 7 inf + 0 43.194 * * [simplify]: Extracting #2: cost 17 inf + 0 43.194 * * [simplify]: Extracting #3: cost 20 inf + 2 43.194 * * [simplify]: Extracting #4: cost 18 inf + 169 43.194 * * [simplify]: Extracting #5: cost 15 inf + 213 43.194 * * [simplify]: Extracting #6: cost 9 inf + 1014 43.195 * * [simplify]: Extracting #7: cost 3 inf + 2116 43.195 * * [simplify]: Extracting #8: cost 0 inf + 2707 43.196 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.196 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.196 * [simplify]: Simplifying (* 2 1) 43.196 * * [simplify]: iters left: 2 (3 enodes) 43.197 * * [simplify]: iters left: 1 (9 enodes) 43.199 * * [simplify]: Extracting #0: cost 1 inf + 0 43.199 * * [simplify]: Extracting #1: cost 0 inf + 1 43.199 * [simplify]: Simplified to 2 43.199 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 43.199 * * * * [progress]: [ 129 / 151 ] simplifiying candidate # 43.199 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.199 * * [simplify]: iters left: 6 (10 enodes) 43.202 * * [simplify]: iters left: 5 (34 enodes) 43.207 * * [simplify]: iters left: 4 (43 enodes) 43.213 * * [simplify]: iters left: 3 (57 enodes) 43.220 * * [simplify]: iters left: 2 (66 enodes) 43.228 * * [simplify]: iters left: 1 (68 enodes) 43.236 * * [simplify]: Extracting #0: cost 1 inf + 0 43.237 * * [simplify]: Extracting #1: cost 7 inf + 0 43.237 * * [simplify]: Extracting #2: cost 17 inf + 0 43.237 * * [simplify]: Extracting #3: cost 20 inf + 2 43.237 * * [simplify]: Extracting #4: cost 18 inf + 169 43.237 * * [simplify]: Extracting #5: cost 15 inf + 213 43.238 * * [simplify]: Extracting #6: cost 9 inf + 1014 43.238 * * [simplify]: Extracting #7: cost 3 inf + 2116 43.239 * * [simplify]: Extracting #8: cost 0 inf + 2707 43.242 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.242 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.242 * [simplify]: Simplifying (* 2 1) 43.242 * * [simplify]: iters left: 2 (3 enodes) 43.245 * * [simplify]: iters left: 1 (9 enodes) 43.248 * * [simplify]: Extracting #0: cost 1 inf + 0 43.248 * * [simplify]: Extracting #1: cost 0 inf + 1 43.248 * [simplify]: Simplified to 2 43.248 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 43.248 * * * * [progress]: [ 130 / 151 ] simplifiying candidate # 43.248 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.248 * * [simplify]: iters left: 6 (10 enodes) 43.253 * * [simplify]: iters left: 5 (34 enodes) 43.263 * * [simplify]: iters left: 4 (43 enodes) 43.276 * * [simplify]: iters left: 3 (57 enodes) 43.291 * * [simplify]: iters left: 2 (66 enodes) 43.306 * * [simplify]: iters left: 1 (68 enodes) 43.321 * * [simplify]: Extracting #0: cost 1 inf + 0 43.321 * * [simplify]: Extracting #1: cost 7 inf + 0 43.321 * * [simplify]: Extracting #2: cost 17 inf + 0 43.321 * * [simplify]: Extracting #3: cost 20 inf + 2 43.322 * * [simplify]: Extracting #4: cost 18 inf + 169 43.322 * * [simplify]: Extracting #5: cost 15 inf + 213 43.322 * * [simplify]: Extracting #6: cost 9 inf + 1014 43.323 * * [simplify]: Extracting #7: cost 3 inf + 2116 43.324 * * [simplify]: Extracting #8: cost 0 inf + 2707 43.325 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.325 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.326 * [simplify]: Simplifying (* 2 1) 43.326 * * [simplify]: iters left: 2 (3 enodes) 43.328 * * [simplify]: iters left: 1 (9 enodes) 43.331 * * [simplify]: Extracting #0: cost 1 inf + 0 43.331 * * [simplify]: Extracting #1: cost 0 inf + 1 43.331 * [simplify]: Simplified to 2 43.331 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 43.331 * * * * [progress]: [ 131 / 151 ] simplifiying candidate # 43.331 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.331 * * [simplify]: iters left: 6 (10 enodes) 43.336 * * [simplify]: iters left: 5 (34 enodes) 43.345 * * [simplify]: iters left: 4 (43 enodes) 43.355 * * [simplify]: iters left: 3 (57 enodes) 43.363 * * [simplify]: iters left: 2 (66 enodes) 43.370 * * [simplify]: iters left: 1 (68 enodes) 43.378 * * [simplify]: Extracting #0: cost 1 inf + 0 43.379 * * [simplify]: Extracting #1: cost 7 inf + 0 43.379 * * [simplify]: Extracting #2: cost 17 inf + 0 43.379 * * [simplify]: Extracting #3: cost 20 inf + 2 43.379 * * [simplify]: Extracting #4: cost 18 inf + 169 43.379 * * [simplify]: Extracting #5: cost 15 inf + 213 43.379 * * [simplify]: Extracting #6: cost 9 inf + 1014 43.379 * * [simplify]: Extracting #7: cost 3 inf + 2116 43.380 * * [simplify]: Extracting #8: cost 0 inf + 2707 43.381 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.381 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.381 * [simplify]: Simplifying (* 2 1) 43.381 * * [simplify]: iters left: 2 (3 enodes) 43.384 * * [simplify]: iters left: 1 (9 enodes) 43.387 * * [simplify]: Extracting #0: cost 1 inf + 0 43.387 * * [simplify]: Extracting #1: cost 0 inf + 1 43.387 * [simplify]: Simplified to 2 43.387 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 43.387 * * * * [progress]: [ 132 / 151 ] simplifiying candidate # 43.387 * [simplify]: Simplifying (cos (/ (+ phi1 phi2) 2)) 43.387 * * [simplify]: iters left: 5 (6 enodes) 43.390 * * [simplify]: iters left: 4 (19 enodes) 43.396 * * [simplify]: Extracting #0: cost 1 inf + 0 43.396 * * [simplify]: Extracting #1: cost 3 inf + 0 43.396 * * [simplify]: Extracting #2: cost 6 inf + 0 43.396 * * [simplify]: Extracting #3: cost 8 inf + 1 43.396 * * [simplify]: Extracting #4: cost 6 inf + 3 43.397 * * [simplify]: Extracting #5: cost 0 inf + 539 43.397 * [simplify]: Simplified to (cos (/ (+ phi2 phi1) 2)) 43.397 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.397 * * * * [progress]: [ 133 / 151 ] simplifiying candidate # 43.397 * [simplify]: Simplifying (- lambda1 lambda2) 43.397 * * [simplify]: iters left: 2 (3 enodes) 43.399 * * [simplify]: iters left: 1 (11 enodes) 43.402 * * [simplify]: Extracting #0: cost 1 inf + 0 43.402 * * [simplify]: Extracting #1: cost 5 inf + 0 43.402 * * [simplify]: Extracting #2: cost 3 inf + 43 43.402 * * [simplify]: Extracting #3: cost 0 inf + 168 43.402 * [simplify]: Simplified to (- lambda1 lambda2) 43.402 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.402 * * * * [progress]: [ 134 / 151 ] simplifiying candidate # 43.403 * [simplify]: Simplifying (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) 43.403 * * [simplify]: iters left: 6 (7 enodes) 43.406 * * [simplify]: iters left: 5 (28 enodes) 43.414 * * [simplify]: iters left: 4 (41 enodes) 43.426 * * [simplify]: iters left: 3 (44 enodes) 43.438 * * [simplify]: iters left: 2 (45 enodes) 43.448 * * [simplify]: Extracting #0: cost 1 inf + 0 43.449 * * [simplify]: Extracting #1: cost 8 inf + 0 43.449 * * [simplify]: Extracting #2: cost 17 inf + 0 43.449 * * [simplify]: Extracting #3: cost 14 inf + 84 43.449 * * [simplify]: Extracting #4: cost 7 inf + 576 43.450 * * [simplify]: Extracting #5: cost 1 inf + 1108 43.450 * * [simplify]: Extracting #6: cost 0 inf + 1230 43.451 * [simplify]: Simplified to (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) 43.451 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.451 * * * * [progress]: [ 135 / 151 ] simplifiying candidate # 43.452 * [simplify]: Simplifying (+ lambda1 lambda2) 43.452 * * [simplify]: iters left: 2 (3 enodes) 43.453 * * [simplify]: iters left: 1 (10 enodes) 43.455 * * [simplify]: Extracting #0: cost 1 inf + 0 43.455 * * [simplify]: Extracting #1: cost 4 inf + 0 43.455 * * [simplify]: Extracting #2: cost 2 inf + 2 43.455 * * [simplify]: Extracting #3: cost 0 inf + 86 43.456 * [simplify]: Simplified to (+ lambda2 lambda1) 43.456 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ lambda2 lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.456 * * * * [progress]: [ 136 / 151 ] simplifiying candidate # 43.456 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 43.456 * * [simplify]: iters left: 6 (16 enodes) 43.465 * * [simplify]: iters left: 5 (72 enodes) 43.485 * * [simplify]: iters left: 4 (152 enodes) 43.525 * * [simplify]: iters left: 3 (473 enodes) 43.794 * * [simplify]: Extracting #0: cost 1 inf + 0 43.794 * * [simplify]: Extracting #1: cost 48 inf + 0 43.795 * * [simplify]: Extracting #2: cost 307 inf + 0 43.797 * * [simplify]: Extracting #3: cost 552 inf + 126 43.800 * * [simplify]: Extracting #4: cost 511 inf + 7460 43.812 * * [simplify]: Extracting #5: cost 332 inf + 73310 43.850 * * [simplify]: Extracting #6: cost 21 inf + 205020 43.908 * * [simplify]: Extracting #7: cost 0 inf + 214578 43.951 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) 43.952 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.952 * * * * [progress]: [ 137 / 151 ] simplifiying candidate # 43.952 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 43.952 * * [simplify]: iters left: 6 (15 enodes) 43.960 * * [simplify]: iters left: 5 (59 enodes) 43.979 * * [simplify]: iters left: 4 (120 enodes) 44.028 * * [simplify]: iters left: 3 (468 enodes) 44.487 * * [simplify]: Extracting #0: cost 1 inf + 0 44.488 * * [simplify]: Extracting #1: cost 48 inf + 0 44.488 * * [simplify]: Extracting #2: cost 335 inf + 0 44.490 * * [simplify]: Extracting #3: cost 480 inf + 1020 44.494 * * [simplify]: Extracting #4: cost 410 inf + 10678 44.507 * * [simplify]: Extracting #5: cost 258 inf + 53279 44.538 * * [simplify]: Extracting #6: cost 18 inf + 135116 44.578 * * [simplify]: Extracting #7: cost 0 inf + 141523 44.623 * [simplify]: Simplified to (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 44.624 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2)))))) 44.624 * * * * [progress]: [ 138 / 151 ] simplifiying candidate #real (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 44.624 * * * * [progress]: [ 139 / 151 ] simplifiying candidate # 44.624 * * * * [progress]: [ 140 / 151 ] simplifiying candidate # 44.624 * [simplify]: Simplifying (- phi2 phi1) 44.624 * * [simplify]: iters left: 2 (3 enodes) 44.625 * * [simplify]: iters left: 1 (11 enodes) 44.628 * * [simplify]: Extracting #0: cost 1 inf + 0 44.628 * * [simplify]: Extracting #1: cost 5 inf + 0 44.628 * * [simplify]: Extracting #2: cost 3 inf + 43 44.628 * * [simplify]: Extracting #3: cost 0 inf + 168 44.629 * [simplify]: Simplified to (- phi2 phi1) 44.629 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 44.629 * * * * [progress]: [ 141 / 151 ] simplifiying candidate # 44.629 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 44.629 * * [simplify]: iters left: 6 (20 enodes) 44.640 * * [simplify]: iters left: 5 (101 enodes) 44.663 * * [simplify]: iters left: 4 (236 enodes) 44.727 * * [simplify]: Extracting #0: cost 1 inf + 0 44.727 * * [simplify]: Extracting #1: cost 17 inf + 0 44.728 * * [simplify]: Extracting #2: cost 108 inf + 0 44.732 * * [simplify]: Extracting #3: cost 193 inf + 1478 44.735 * * [simplify]: Extracting #4: cost 170 inf + 5958 44.742 * * [simplify]: Extracting #5: cost 99 inf + 20187 44.760 * * [simplify]: Extracting #6: cost 5 inf + 47270 44.780 * * [simplify]: Extracting #7: cost 0 inf + 49274 44.801 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) 44.801 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) 44.801 * * * * [progress]: [ 142 / 151 ] simplifiying candidate # 44.801 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 44.802 * * [simplify]: iters left: 6 (19 enodes) 44.812 * * [simplify]: iters left: 5 (95 enodes) 44.841 * * [simplify]: iters left: 4 (213 enodes) 44.893 * * [simplify]: Extracting #0: cost 1 inf + 0 44.893 * * [simplify]: Extracting #1: cost 8 inf + 0 44.893 * * [simplify]: Extracting #2: cost 96 inf + 0 44.894 * * [simplify]: Extracting #3: cost 156 inf + 460 44.895 * * [simplify]: Extracting #4: cost 113 inf + 5242 44.897 * * [simplify]: Extracting #5: cost 93 inf + 7303 44.900 * * [simplify]: Extracting #6: cost 32 inf + 21983 44.907 * * [simplify]: Extracting #7: cost 1 inf + 30137 44.914 * * [simplify]: Extracting #8: cost 0 inf + 30482 44.927 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))) 44.928 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))))) 44.928 * * * * [progress]: [ 143 / 151 ] simplifiying candidate # 44.928 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 44.928 * * [simplify]: iters left: 6 (12 enodes) 44.936 * * [simplify]: iters left: 5 (52 enodes) 44.947 * * [simplify]: iters left: 4 (79 enodes) 44.961 * * [simplify]: iters left: 3 (149 enodes) 44.995 * * [simplify]: iters left: 2 (242 enodes) 45.072 * * [simplify]: iters left: 1 (300 enodes) 45.129 * * [simplify]: Extracting #0: cost 1 inf + 0 45.129 * * [simplify]: Extracting #1: cost 18 inf + 0 45.129 * * [simplify]: Extracting #2: cost 51 inf + 2 45.130 * * [simplify]: Extracting #3: cost 50 inf + 1156 45.133 * * [simplify]: Extracting #4: cost 13 inf + 4533 45.136 * * [simplify]: Extracting #5: cost 0 inf + 6262 45.140 * * [simplify]: Extracting #6: cost 0 inf + 6222 45.142 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 45.142 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.142 * * * * [progress]: [ 144 / 151 ] simplifiying candidate # 45.142 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.142 * * [simplify]: iters left: 5 (6 enodes) 45.144 * * [simplify]: iters left: 4 (26 enodes) 45.149 * * [simplify]: iters left: 3 (36 enodes) 45.153 * * [simplify]: Extracting #0: cost 1 inf + 0 45.153 * * [simplify]: Extracting #1: cost 3 inf + 0 45.153 * * [simplify]: Extracting #2: cost 8 inf + 0 45.153 * * [simplify]: Extracting #3: cost 12 inf + 1 45.153 * * [simplify]: Extracting #4: cost 7 inf + 129 45.153 * * [simplify]: Extracting #5: cost 1 inf + 564 45.153 * * [simplify]: Extracting #6: cost 0 inf + 707 45.154 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.154 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.154 * * * * [progress]: [ 145 / 151 ] simplifiying candidate # 45.154 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.154 * * [simplify]: iters left: 5 (6 enodes) 45.156 * * [simplify]: iters left: 4 (26 enodes) 45.160 * * [simplify]: iters left: 3 (36 enodes) 45.164 * * [simplify]: Extracting #0: cost 1 inf + 0 45.164 * * [simplify]: Extracting #1: cost 3 inf + 0 45.164 * * [simplify]: Extracting #2: cost 8 inf + 0 45.164 * * [simplify]: Extracting #3: cost 12 inf + 1 45.164 * * [simplify]: Extracting #4: cost 7 inf + 129 45.164 * * [simplify]: Extracting #5: cost 1 inf + 564 45.165 * * [simplify]: Extracting #6: cost 0 inf + 707 45.165 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.165 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.165 * * * * [progress]: [ 146 / 151 ] simplifiying candidate # 45.165 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 45.165 * * [simplify]: iters left: 6 (12 enodes) 45.169 * * [simplify]: iters left: 5 (52 enodes) 45.178 * * [simplify]: iters left: 4 (79 enodes) 45.206 * * [simplify]: iters left: 3 (149 enodes) 45.235 * * [simplify]: iters left: 2 (242 enodes) 45.293 * * [simplify]: iters left: 1 (300 enodes) 45.354 * * [simplify]: Extracting #0: cost 1 inf + 0 45.354 * * [simplify]: Extracting #1: cost 18 inf + 0 45.354 * * [simplify]: Extracting #2: cost 51 inf + 2 45.355 * * [simplify]: Extracting #3: cost 50 inf + 1156 45.356 * * [simplify]: Extracting #4: cost 13 inf + 4533 45.358 * * [simplify]: Extracting #5: cost 0 inf + 6262 45.360 * * [simplify]: Extracting #6: cost 0 inf + 6222 45.362 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 45.362 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.362 * * * * [progress]: [ 147 / 151 ] simplifiying candidate # 45.362 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.362 * * [simplify]: iters left: 5 (6 enodes) 45.364 * * [simplify]: iters left: 4 (26 enodes) 45.368 * * [simplify]: iters left: 3 (36 enodes) 45.372 * * [simplify]: Extracting #0: cost 1 inf + 0 45.372 * * [simplify]: Extracting #1: cost 3 inf + 0 45.372 * * [simplify]: Extracting #2: cost 8 inf + 0 45.372 * * [simplify]: Extracting #3: cost 12 inf + 1 45.372 * * [simplify]: Extracting #4: cost 7 inf + 129 45.372 * * [simplify]: Extracting #5: cost 1 inf + 564 45.373 * * [simplify]: Extracting #6: cost 0 inf + 707 45.373 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.373 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.373 * * * * [progress]: [ 148 / 151 ] simplifiying candidate # 45.373 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.373 * * [simplify]: iters left: 5 (6 enodes) 45.375 * * [simplify]: iters left: 4 (26 enodes) 45.379 * * [simplify]: iters left: 3 (36 enodes) 45.383 * * [simplify]: Extracting #0: cost 1 inf + 0 45.383 * * [simplify]: Extracting #1: cost 3 inf + 0 45.383 * * [simplify]: Extracting #2: cost 8 inf + 0 45.383 * * [simplify]: Extracting #3: cost 12 inf + 1 45.383 * * [simplify]: Extracting #4: cost 7 inf + 129 45.384 * * [simplify]: Extracting #5: cost 1 inf + 564 45.384 * * [simplify]: Extracting #6: cost 0 inf + 707 45.384 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.384 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.384 * * * * [progress]: [ 149 / 151 ] simplifiying candidate # 45.384 * [simplify]: Simplifying (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 45.384 * * [simplify]: iters left: 6 (9 enodes) 45.389 * * [simplify]: iters left: 5 (44 enodes) 45.396 * * [simplify]: iters left: 4 (79 enodes) 45.411 * * [simplify]: iters left: 3 (132 enodes) 45.452 * * [simplify]: iters left: 2 (163 enodes) 45.476 * * [simplify]: iters left: 1 (181 enodes) 45.515 * * [simplify]: Extracting #0: cost 1 inf + 0 45.516 * * [simplify]: Extracting #1: cost 16 inf + 0 45.516 * * [simplify]: Extracting #2: cost 40 inf + 0 45.516 * * [simplify]: Extracting #3: cost 39 inf + 459 45.518 * * [simplify]: Extracting #4: cost 9 inf + 2922 45.520 * * [simplify]: Extracting #5: cost 0 inf + 4108 45.522 * [simplify]: Simplified to (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) 45.522 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 45.522 * * * * [progress]: [ 150 / 151 ] simplifiying candidate # 45.523 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 45.523 * * [simplify]: iters left: 6 (19 enodes) 45.533 * * [simplify]: iters left: 5 (90 enodes) 45.566 * * [simplify]: iters left: 4 (186 enodes) 45.634 * * [simplify]: iters left: 3 (431 enodes) 45.798 * * [simplify]: Extracting #0: cost 1 inf + 0 45.799 * * [simplify]: Extracting #1: cost 18 inf + 0 45.799 * * [simplify]: Extracting #2: cost 132 inf + 0 45.800 * * [simplify]: Extracting #3: cost 220 inf + 335 45.801 * * [simplify]: Extracting #4: cost 192 inf + 3934 45.803 * * [simplify]: Extracting #5: cost 190 inf + 4835 45.809 * * [simplify]: Extracting #6: cost 132 inf + 17912 45.832 * * [simplify]: Extracting #7: cost 12 inf + 50239 45.857 * * [simplify]: Extracting #8: cost 0 inf + 53615 45.887 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1))) 45.887 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.888 * * * * [progress]: [ 151 / 151 ] simplifiying candidate # 45.888 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 45.888 * * [simplify]: iters left: 6 (19 enodes) 45.900 * * [simplify]: iters left: 5 (90 enodes) 45.921 * * [simplify]: iters left: 4 (186 enodes) 45.976 * * [simplify]: iters left: 3 (431 enodes) 46.164 * * [simplify]: Extracting #0: cost 1 inf + 0 46.165 * * [simplify]: Extracting #1: cost 18 inf + 0 46.165 * * [simplify]: Extracting #2: cost 132 inf + 0 46.167 * * [simplify]: Extracting #3: cost 220 inf + 335 46.169 * * [simplify]: Extracting #4: cost 192 inf + 3934 46.172 * * [simplify]: Extracting #5: cost 190 inf + 4835 46.180 * * [simplify]: Extracting #6: cost 132 inf + 17912 46.202 * * [simplify]: Extracting #7: cost 12 inf + 50239 46.228 * * [simplify]: Extracting #8: cost 0 inf + 53615 46.253 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1))) 46.253 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 46.253 * * * [progress]: adding candidates to table 49.518 * * [progress]: iteration 2 / 4 49.518 * * * [progress]: picking best candidate 49.593 * * * * [pick]: Picked # 49.593 * * * [progress]: localizing error 49.701 * * * [progress]: generating rewritten candidates 49.701 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 49.792 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 49.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 49.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 51.858 * * * [progress]: generating series expansions 51.859 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 51.859 * [backup-simplify]: Simplify (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) 51.859 * [approximate]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 51.859 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi2 51.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi2 51.860 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi2 51.860 * [taylor]: Taking taylor expansion of 1/3 in phi2 51.860 * [backup-simplify]: Simplify 1/3 into 1/3 51.860 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 51.860 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 51.860 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 51.860 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 51.860 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 51.860 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 51.860 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 51.860 * [taylor]: Taking taylor expansion of 1/2 in phi2 51.860 * [backup-simplify]: Simplify 1/2 into 1/2 51.860 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 51.860 * [taylor]: Taking taylor expansion of phi1 in phi2 51.860 * [backup-simplify]: Simplify phi1 into phi1 51.860 * [taylor]: Taking taylor expansion of phi2 in phi2 51.860 * [backup-simplify]: Simplify 0 into 0 51.860 * [backup-simplify]: Simplify 1 into 1 51.860 * [backup-simplify]: Simplify (+ phi1 0) into phi1 51.860 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 51.860 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 51.860 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 51.860 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 51.860 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 51.861 * [backup-simplify]: Simplify (- 0) into 0 51.862 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 51.862 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 51.862 * [taylor]: Taking taylor expansion of lambda1 in phi2 51.862 * [backup-simplify]: Simplify lambda1 into lambda1 51.862 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 51.862 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 51.862 * [taylor]: Taking taylor expansion of phi2 in phi2 51.862 * [backup-simplify]: Simplify 0 into 0 51.862 * [backup-simplify]: Simplify 1 into 1 51.862 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 51.862 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 51.862 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 51.862 * [taylor]: Taking taylor expansion of lambda2 in phi2 51.862 * [backup-simplify]: Simplify lambda2 into lambda2 51.862 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 51.862 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 51.862 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 51.862 * [taylor]: Taking taylor expansion of 1/2 in phi2 51.862 * [backup-simplify]: Simplify 1/2 into 1/2 51.862 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 51.862 * [taylor]: Taking taylor expansion of phi1 in phi2 51.862 * [backup-simplify]: Simplify phi1 into phi1 51.862 * [taylor]: Taking taylor expansion of phi2 in phi2 51.862 * [backup-simplify]: Simplify 0 into 0 51.862 * [backup-simplify]: Simplify 1 into 1 51.862 * [backup-simplify]: Simplify (+ phi1 0) into phi1 51.862 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 51.862 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 51.862 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 51.862 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 51.863 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 51.863 * [backup-simplify]: Simplify (- 0) into 0 51.863 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 51.863 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 51.863 * [taylor]: Taking taylor expansion of phi1 in phi2 51.863 * [backup-simplify]: Simplify phi1 into phi1 51.863 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 51.863 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 51.863 * [taylor]: Taking taylor expansion of 2 in phi2 51.863 * [backup-simplify]: Simplify 2 into 2 51.863 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 51.863 * [taylor]: Taking taylor expansion of phi1 in phi2 51.863 * [backup-simplify]: Simplify phi1 into phi1 51.863 * [taylor]: Taking taylor expansion of phi2 in phi2 51.863 * [backup-simplify]: Simplify 0 into 0 51.863 * [backup-simplify]: Simplify 1 into 1 51.863 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 51.863 * [taylor]: Taking taylor expansion of 2 in phi2 51.863 * [backup-simplify]: Simplify 2 into 2 51.863 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 51.863 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 51.864 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 51.864 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 51.864 * [taylor]: Taking taylor expansion of 1/2 in phi2 51.864 * [backup-simplify]: Simplify 1/2 into 1/2 51.864 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 51.864 * [taylor]: Taking taylor expansion of phi1 in phi2 51.864 * [backup-simplify]: Simplify phi1 into phi1 51.864 * [taylor]: Taking taylor expansion of phi2 in phi2 51.864 * [backup-simplify]: Simplify 0 into 0 51.864 * [backup-simplify]: Simplify 1 into 1 51.864 * [backup-simplify]: Simplify (+ phi1 0) into phi1 51.864 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 51.864 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 51.864 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 51.864 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 51.864 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 51.865 * [backup-simplify]: Simplify (- 0) into 0 51.865 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 51.865 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 51.865 * [taylor]: Taking taylor expansion of lambda2 in phi2 51.865 * [backup-simplify]: Simplify lambda2 into lambda2 51.865 * [taylor]: Taking taylor expansion of lambda1 in phi2 51.865 * [backup-simplify]: Simplify lambda1 into lambda1 51.865 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 51.865 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 51.865 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 51.865 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 51.865 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 51.865 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 51.865 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 51.866 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 51.866 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 51.867 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 51.867 * [backup-simplify]: Simplify (* phi1 0) into 0 51.867 * [backup-simplify]: Simplify (* 2 0) into 0 51.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 51.867 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 51.868 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 51.868 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 51.868 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 51.868 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 51.869 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 51.870 * [backup-simplify]: Simplify (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 51.871 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) into (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) 51.872 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (pow (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1/3) 51.872 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi1 51.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi1 51.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi1 51.873 * [taylor]: Taking taylor expansion of 1/3 in phi1 51.873 * [backup-simplify]: Simplify 1/3 into 1/3 51.873 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 51.873 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 51.873 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 51.873 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 51.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 51.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 51.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 51.873 * [taylor]: Taking taylor expansion of 1/2 in phi1 51.873 * [backup-simplify]: Simplify 1/2 into 1/2 51.873 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 51.873 * [taylor]: Taking taylor expansion of phi1 in phi1 51.873 * [backup-simplify]: Simplify 0 into 0 51.873 * [backup-simplify]: Simplify 1 into 1 51.873 * [taylor]: Taking taylor expansion of phi2 in phi1 51.873 * [backup-simplify]: Simplify phi2 into phi2 51.873 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 51.873 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 51.873 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 51.873 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 51.873 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 51.873 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 51.874 * [backup-simplify]: Simplify (- 0) into 0 51.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 51.874 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 51.874 * [taylor]: Taking taylor expansion of lambda1 in phi1 51.874 * [backup-simplify]: Simplify lambda1 into lambda1 51.874 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 51.874 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 51.874 * [taylor]: Taking taylor expansion of phi2 in phi1 51.874 * [backup-simplify]: Simplify phi2 into phi2 51.874 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 51.874 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 51.874 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 51.874 * [taylor]: Taking taylor expansion of lambda2 in phi1 51.874 * [backup-simplify]: Simplify lambda2 into lambda2 51.875 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 51.875 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 51.875 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 51.875 * [taylor]: Taking taylor expansion of 1/2 in phi1 51.875 * [backup-simplify]: Simplify 1/2 into 1/2 51.875 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 51.875 * [taylor]: Taking taylor expansion of phi1 in phi1 51.875 * [backup-simplify]: Simplify 0 into 0 51.875 * [backup-simplify]: Simplify 1 into 1 51.875 * [taylor]: Taking taylor expansion of phi2 in phi1 51.875 * [backup-simplify]: Simplify phi2 into phi2 51.875 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 51.875 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 51.875 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 51.875 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 51.875 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 51.875 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 51.876 * [backup-simplify]: Simplify (- 0) into 0 51.876 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 51.876 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 51.876 * [taylor]: Taking taylor expansion of phi1 in phi1 51.876 * [backup-simplify]: Simplify 0 into 0 51.876 * [backup-simplify]: Simplify 1 into 1 51.876 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 51.876 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 51.876 * [taylor]: Taking taylor expansion of 2 in phi1 51.876 * [backup-simplify]: Simplify 2 into 2 51.876 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 51.876 * [taylor]: Taking taylor expansion of phi1 in phi1 51.876 * [backup-simplify]: Simplify 0 into 0 51.876 * [backup-simplify]: Simplify 1 into 1 51.876 * [taylor]: Taking taylor expansion of phi2 in phi1 51.876 * [backup-simplify]: Simplify phi2 into phi2 51.876 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 51.876 * [taylor]: Taking taylor expansion of 2 in phi1 51.876 * [backup-simplify]: Simplify 2 into 2 51.876 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 51.876 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 51.876 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 51.876 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 51.876 * [taylor]: Taking taylor expansion of 1/2 in phi1 51.876 * [backup-simplify]: Simplify 1/2 into 1/2 51.876 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 51.876 * [taylor]: Taking taylor expansion of phi1 in phi1 51.876 * [backup-simplify]: Simplify 0 into 0 51.876 * [backup-simplify]: Simplify 1 into 1 51.876 * [taylor]: Taking taylor expansion of phi2 in phi1 51.876 * [backup-simplify]: Simplify phi2 into phi2 51.876 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 51.876 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 51.877 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 51.877 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 51.877 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 51.877 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 51.877 * [backup-simplify]: Simplify (- 0) into 0 51.877 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 51.877 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 51.877 * [taylor]: Taking taylor expansion of lambda2 in phi1 51.877 * [backup-simplify]: Simplify lambda2 into lambda2 51.877 * [taylor]: Taking taylor expansion of lambda1 in phi1 51.877 * [backup-simplify]: Simplify lambda1 into lambda1 51.878 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 51.878 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 51.878 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 51.878 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.878 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 51.878 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 51.878 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 51.878 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 51.879 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 51.879 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 51.879 * [backup-simplify]: Simplify (* 0 phi2) into 0 51.880 * [backup-simplify]: Simplify (* 2 0) into 0 51.880 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 51.880 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 51.880 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 51.880 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 51.881 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 51.881 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 51.882 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 51.883 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 51.884 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) 51.885 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (pow (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1/3) 51.885 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 51.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda2 51.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda2 51.885 * [taylor]: Taking taylor expansion of 1/3 in lambda2 51.885 * [backup-simplify]: Simplify 1/3 into 1/3 51.885 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 51.885 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 51.885 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 51.885 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 51.885 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.885 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.885 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.885 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.885 * [backup-simplify]: Simplify 1/2 into 1/2 51.885 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.885 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.885 * [backup-simplify]: Simplify phi1 into phi1 51.885 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.885 * [backup-simplify]: Simplify phi2 into phi2 51.885 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.886 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.886 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.886 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.886 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.886 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.887 * [backup-simplify]: Simplify (- 0) into 0 51.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.887 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 51.887 * [taylor]: Taking taylor expansion of lambda1 in lambda2 51.887 * [backup-simplify]: Simplify lambda1 into lambda1 51.887 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 51.887 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 51.887 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.887 * [backup-simplify]: Simplify phi2 into phi2 51.887 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 51.887 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 51.887 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 51.887 * [taylor]: Taking taylor expansion of lambda2 in lambda2 51.887 * [backup-simplify]: Simplify 0 into 0 51.887 * [backup-simplify]: Simplify 1 into 1 51.887 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.887 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.887 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.887 * [backup-simplify]: Simplify 1/2 into 1/2 51.887 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.887 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.887 * [backup-simplify]: Simplify phi1 into phi1 51.887 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.887 * [backup-simplify]: Simplify phi2 into phi2 51.887 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.887 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.887 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.888 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.888 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.888 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.888 * [backup-simplify]: Simplify (- 0) into 0 51.888 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.888 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 51.888 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.888 * [backup-simplify]: Simplify phi1 into phi1 51.888 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 51.888 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 51.888 * [taylor]: Taking taylor expansion of 2 in lambda2 51.888 * [backup-simplify]: Simplify 2 into 2 51.889 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 51.889 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.889 * [backup-simplify]: Simplify phi1 into phi1 51.889 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.889 * [backup-simplify]: Simplify phi2 into phi2 51.889 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 51.889 * [taylor]: Taking taylor expansion of 2 in lambda2 51.889 * [backup-simplify]: Simplify 2 into 2 51.889 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 51.889 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.889 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.889 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.889 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.889 * [backup-simplify]: Simplify 1/2 into 1/2 51.889 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.889 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.889 * [backup-simplify]: Simplify phi1 into phi1 51.889 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.889 * [backup-simplify]: Simplify phi2 into phi2 51.889 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.889 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.889 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.889 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.889 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.889 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.890 * [backup-simplify]: Simplify (- 0) into 0 51.890 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.890 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 51.890 * [taylor]: Taking taylor expansion of lambda2 in lambda2 51.890 * [backup-simplify]: Simplify 0 into 0 51.890 * [backup-simplify]: Simplify 1 into 1 51.890 * [taylor]: Taking taylor expansion of lambda1 in lambda2 51.890 * [backup-simplify]: Simplify lambda1 into lambda1 51.890 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.890 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 51.890 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 51.891 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.891 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 51.891 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 51.891 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 51.891 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 51.891 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 51.891 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 51.891 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.892 * [backup-simplify]: Simplify (* 0 lambda1) into 0 51.892 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 51.892 * [backup-simplify]: Simplify (* 2 0) into 0 51.892 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 51.892 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 51.893 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 51.894 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 51.894 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) 51.895 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1/3) 51.895 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 51.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 51.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 51.895 * [taylor]: Taking taylor expansion of 1/3 in lambda1 51.895 * [backup-simplify]: Simplify 1/3 into 1/3 51.895 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 51.895 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 51.895 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 51.895 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 51.895 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 51.895 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 51.895 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 51.895 * [taylor]: Taking taylor expansion of 1/2 in lambda1 51.895 * [backup-simplify]: Simplify 1/2 into 1/2 51.895 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 51.895 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.895 * [backup-simplify]: Simplify phi1 into phi1 51.895 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.895 * [backup-simplify]: Simplify phi2 into phi2 51.895 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.896 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.896 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.896 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.896 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.896 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.896 * [backup-simplify]: Simplify (- 0) into 0 51.897 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.897 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 51.897 * [taylor]: Taking taylor expansion of lambda1 in lambda1 51.897 * [backup-simplify]: Simplify 0 into 0 51.897 * [backup-simplify]: Simplify 1 into 1 51.897 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 51.897 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 51.897 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.897 * [backup-simplify]: Simplify phi2 into phi2 51.897 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 51.897 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 51.897 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 51.897 * [taylor]: Taking taylor expansion of lambda2 in lambda1 51.897 * [backup-simplify]: Simplify lambda2 into lambda2 51.897 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 51.897 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 51.897 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 51.897 * [taylor]: Taking taylor expansion of 1/2 in lambda1 51.897 * [backup-simplify]: Simplify 1/2 into 1/2 51.897 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 51.897 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.897 * [backup-simplify]: Simplify phi1 into phi1 51.897 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.897 * [backup-simplify]: Simplify phi2 into phi2 51.897 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.897 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.897 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.897 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.898 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.898 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.898 * [backup-simplify]: Simplify (- 0) into 0 51.898 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.898 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 51.898 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.898 * [backup-simplify]: Simplify phi1 into phi1 51.898 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 51.898 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 51.898 * [taylor]: Taking taylor expansion of 2 in lambda1 51.898 * [backup-simplify]: Simplify 2 into 2 51.898 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 51.898 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.899 * [backup-simplify]: Simplify phi1 into phi1 51.899 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.899 * [backup-simplify]: Simplify phi2 into phi2 51.899 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 51.899 * [taylor]: Taking taylor expansion of 2 in lambda1 51.899 * [backup-simplify]: Simplify 2 into 2 51.899 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 51.899 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 51.899 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 51.899 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 51.899 * [taylor]: Taking taylor expansion of 1/2 in lambda1 51.899 * [backup-simplify]: Simplify 1/2 into 1/2 51.899 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 51.899 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.899 * [backup-simplify]: Simplify phi1 into phi1 51.899 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.899 * [backup-simplify]: Simplify phi2 into phi2 51.899 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.899 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.899 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.899 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.899 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.899 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.900 * [backup-simplify]: Simplify (- 0) into 0 51.900 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.900 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 51.900 * [taylor]: Taking taylor expansion of lambda2 in lambda1 51.900 * [backup-simplify]: Simplify lambda2 into lambda2 51.900 * [taylor]: Taking taylor expansion of lambda1 in lambda1 51.900 * [backup-simplify]: Simplify 0 into 0 51.900 * [backup-simplify]: Simplify 1 into 1 51.900 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.900 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 51.900 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.901 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 51.901 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 51.901 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 51.901 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 51.902 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 51.902 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 51.902 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 51.902 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.902 * [backup-simplify]: Simplify (* lambda2 0) into 0 51.902 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 51.903 * [backup-simplify]: Simplify (* 2 0) into 0 51.903 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 51.903 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 51.904 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 51.904 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 51.905 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 51.906 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 51.906 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 51.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 51.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 51.906 * [taylor]: Taking taylor expansion of 1/3 in lambda1 51.906 * [backup-simplify]: Simplify 1/3 into 1/3 51.906 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 51.906 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 51.906 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 51.906 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 51.906 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 51.906 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 51.906 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 51.906 * [taylor]: Taking taylor expansion of 1/2 in lambda1 51.906 * [backup-simplify]: Simplify 1/2 into 1/2 51.906 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 51.906 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.906 * [backup-simplify]: Simplify phi1 into phi1 51.906 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.906 * [backup-simplify]: Simplify phi2 into phi2 51.906 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.907 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.907 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.907 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.907 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.907 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.908 * [backup-simplify]: Simplify (- 0) into 0 51.908 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.908 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 51.908 * [taylor]: Taking taylor expansion of lambda1 in lambda1 51.908 * [backup-simplify]: Simplify 0 into 0 51.908 * [backup-simplify]: Simplify 1 into 1 51.908 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 51.908 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 51.908 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.908 * [backup-simplify]: Simplify phi2 into phi2 51.908 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 51.908 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 51.908 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 51.908 * [taylor]: Taking taylor expansion of lambda2 in lambda1 51.908 * [backup-simplify]: Simplify lambda2 into lambda2 51.908 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 51.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 51.908 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 51.908 * [taylor]: Taking taylor expansion of 1/2 in lambda1 51.908 * [backup-simplify]: Simplify 1/2 into 1/2 51.908 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 51.908 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.908 * [backup-simplify]: Simplify phi1 into phi1 51.908 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.908 * [backup-simplify]: Simplify phi2 into phi2 51.908 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.908 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.909 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.909 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.909 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.909 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.909 * [backup-simplify]: Simplify (- 0) into 0 51.910 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.910 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 51.910 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.910 * [backup-simplify]: Simplify phi1 into phi1 51.910 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 51.910 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 51.910 * [taylor]: Taking taylor expansion of 2 in lambda1 51.910 * [backup-simplify]: Simplify 2 into 2 51.910 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 51.910 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.910 * [backup-simplify]: Simplify phi1 into phi1 51.910 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.910 * [backup-simplify]: Simplify phi2 into phi2 51.910 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 51.910 * [taylor]: Taking taylor expansion of 2 in lambda1 51.910 * [backup-simplify]: Simplify 2 into 2 51.910 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 51.910 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 51.910 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 51.910 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 51.910 * [taylor]: Taking taylor expansion of 1/2 in lambda1 51.910 * [backup-simplify]: Simplify 1/2 into 1/2 51.910 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 51.910 * [taylor]: Taking taylor expansion of phi1 in lambda1 51.910 * [backup-simplify]: Simplify phi1 into phi1 51.910 * [taylor]: Taking taylor expansion of phi2 in lambda1 51.910 * [backup-simplify]: Simplify phi2 into phi2 51.910 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.911 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.911 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.911 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.911 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.911 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.911 * [backup-simplify]: Simplify (- 0) into 0 51.912 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.912 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 51.912 * [taylor]: Taking taylor expansion of lambda2 in lambda1 51.912 * [backup-simplify]: Simplify lambda2 into lambda2 51.912 * [taylor]: Taking taylor expansion of lambda1 in lambda1 51.912 * [backup-simplify]: Simplify 0 into 0 51.912 * [backup-simplify]: Simplify 1 into 1 51.912 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.912 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 51.912 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.912 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 51.912 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 51.913 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 51.913 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 51.914 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 51.914 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 51.914 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 51.914 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.914 * [backup-simplify]: Simplify (* lambda2 0) into 0 51.914 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 51.915 * [backup-simplify]: Simplify (* 2 0) into 0 51.915 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 51.915 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 51.916 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 51.916 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 51.917 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 51.918 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 51.918 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 51.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 51.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 51.918 * [taylor]: Taking taylor expansion of 1/3 in lambda2 51.918 * [backup-simplify]: Simplify 1/3 into 1/3 51.918 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 51.918 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 51.918 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 51.918 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 51.918 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.918 * [backup-simplify]: Simplify phi2 into phi2 51.918 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 51.918 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 51.918 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 51.918 * [taylor]: Taking taylor expansion of lambda2 in lambda2 51.918 * [backup-simplify]: Simplify 0 into 0 51.918 * [backup-simplify]: Simplify 1 into 1 51.918 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.918 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.918 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.918 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.918 * [backup-simplify]: Simplify 1/2 into 1/2 51.918 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.918 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.918 * [backup-simplify]: Simplify phi1 into phi1 51.918 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.918 * [backup-simplify]: Simplify phi2 into phi2 51.918 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.918 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.919 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.919 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.919 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.919 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.920 * [backup-simplify]: Simplify (- 0) into 0 51.920 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.920 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 51.920 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.920 * [backup-simplify]: Simplify phi1 into phi1 51.920 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 51.920 * [taylor]: Taking taylor expansion of 2 in lambda2 51.920 * [backup-simplify]: Simplify 2 into 2 51.920 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 51.920 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.920 * [backup-simplify]: Simplify phi1 into phi1 51.920 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.920 * [backup-simplify]: Simplify phi2 into phi2 51.920 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.920 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 51.920 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 51.920 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 51.920 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 51.920 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 51.920 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 51.921 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 51.921 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 51.921 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 51.921 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 51.922 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) in phi1 51.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 51.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 51.922 * [taylor]: Taking taylor expansion of 1/3 in phi1 51.922 * [backup-simplify]: Simplify 1/3 into 1/3 51.922 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 51.922 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 51.922 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 51.922 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 51.922 * [taylor]: Taking taylor expansion of phi2 in phi1 51.922 * [backup-simplify]: Simplify phi2 into phi2 51.922 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 51.922 * [taylor]: Taking taylor expansion of phi1 in phi1 51.922 * [backup-simplify]: Simplify 0 into 0 51.922 * [backup-simplify]: Simplify 1 into 1 51.922 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 51.922 * [taylor]: Taking taylor expansion of 2 in phi1 51.922 * [backup-simplify]: Simplify 2 into 2 51.922 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 51.922 * [taylor]: Taking taylor expansion of phi1 in phi1 51.922 * [backup-simplify]: Simplify 0 into 0 51.922 * [backup-simplify]: Simplify 1 into 1 51.922 * [taylor]: Taking taylor expansion of phi2 in phi1 51.922 * [backup-simplify]: Simplify phi2 into phi2 51.922 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.922 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 51.922 * [backup-simplify]: Simplify (* 0 phi2) into 0 51.923 * [backup-simplify]: Simplify (* 2 0) into 0 51.923 * [backup-simplify]: Simplify (- 0) into 0 51.924 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 51.924 * [backup-simplify]: Simplify (log (pow phi2 2)) into (log (pow phi2 2)) 51.924 * [backup-simplify]: Simplify (* 1/3 (log (pow phi2 2))) into (* 1/3 (log (pow phi2 2))) 51.924 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow phi2 2)))) into (pow (pow phi2 2) 1/3) 51.924 * [taylor]: Taking taylor expansion of (pow (pow phi2 2) 1/3) in phi2 51.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow phi2 2)))) in phi2 51.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow phi2 2))) in phi2 51.924 * [taylor]: Taking taylor expansion of 1/3 in phi2 51.924 * [backup-simplify]: Simplify 1/3 into 1/3 51.924 * [taylor]: Taking taylor expansion of (log (pow phi2 2)) in phi2 51.924 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 51.924 * [taylor]: Taking taylor expansion of phi2 in phi2 51.924 * [backup-simplify]: Simplify 0 into 0 51.924 * [backup-simplify]: Simplify 1 into 1 51.925 * [backup-simplify]: Simplify (* 1 1) into 1 51.926 * [backup-simplify]: Simplify (log 1) into 0 51.927 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 51.927 * [backup-simplify]: Simplify (* 1/3 (* 2 (log phi2))) into (* 2/3 (log phi2)) 51.927 * [backup-simplify]: Simplify (exp (* 2/3 (log phi2))) into (pow phi2 2/3) 51.927 * [backup-simplify]: Simplify (pow phi2 2/3) into (pow phi2 2/3) 51.928 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 51.929 * [backup-simplify]: Simplify (+ 0) into 0 51.929 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 51.930 * [backup-simplify]: Simplify (+ 0 0) into 0 51.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 51.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.932 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 51.932 * [backup-simplify]: Simplify (- 0) into 0 51.933 * [backup-simplify]: Simplify (+ 0 0) into 0 51.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 51.933 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 51.933 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 51.933 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 51.934 * [backup-simplify]: Simplify (+ 0 0) into 0 51.934 * [backup-simplify]: Simplify (+ 0 0) into 0 51.934 * [backup-simplify]: Simplify (+ 0 0) into 0 51.935 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 51.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 51.935 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 51.936 * [backup-simplify]: Simplify (+ 0) into 0 51.936 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 51.937 * [backup-simplify]: Simplify (+ 0 0) into 0 51.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 51.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.938 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 51.939 * [backup-simplify]: Simplify (- 0) into 0 51.939 * [backup-simplify]: Simplify (+ 0 0) into 0 51.939 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 51.940 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 51.941 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 51.941 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 51.941 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 51.942 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 51.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 1) into (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 51.945 * [backup-simplify]: Simplify (+ (* 1/3 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 51.961 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 1) 1)))) into (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) 51.961 * [taylor]: Taking taylor expansion of (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) in lambda2 51.961 * [taylor]: Taking taylor expansion of -2/3 in lambda2 51.961 * [backup-simplify]: Simplify -2/3 into -2/3 51.961 * [taylor]: Taking taylor expansion of (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3)) in lambda2 51.961 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 51.961 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.961 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.961 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.961 * [backup-simplify]: Simplify 1/2 into 1/2 51.961 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.961 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.961 * [backup-simplify]: Simplify phi1 into phi1 51.961 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.961 * [backup-simplify]: Simplify phi2 into phi2 51.961 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.962 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.962 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.962 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.962 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.962 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.963 * [backup-simplify]: Simplify (- 0) into 0 51.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.963 * [taylor]: Taking taylor expansion of lambda2 in lambda2 51.963 * [backup-simplify]: Simplify 0 into 0 51.963 * [backup-simplify]: Simplify 1 into 1 51.963 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3) in lambda2 51.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 51.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 51.963 * [taylor]: Taking taylor expansion of 1/3 in lambda2 51.963 * [backup-simplify]: Simplify 1/3 into 1/3 51.963 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 51.963 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 51.963 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 51.963 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 51.963 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 51.963 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 51.963 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.963 * [backup-simplify]: Simplify phi2 into phi2 51.963 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 51.963 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 51.963 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 51.963 * [taylor]: Taking taylor expansion of lambda2 in lambda2 51.963 * [backup-simplify]: Simplify 0 into 0 51.963 * [backup-simplify]: Simplify 1 into 1 51.963 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.963 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.963 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.964 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.964 * [backup-simplify]: Simplify 1/2 into 1/2 51.964 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.964 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.964 * [backup-simplify]: Simplify phi1 into phi1 51.964 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.964 * [backup-simplify]: Simplify phi2 into phi2 51.964 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.964 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.964 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.964 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.964 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.964 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 51.965 * [backup-simplify]: Simplify (- 0) into 0 51.965 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 51.965 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 51.965 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.965 * [backup-simplify]: Simplify phi1 into phi1 51.965 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 51.965 * [taylor]: Taking taylor expansion of 2 in lambda2 51.965 * [backup-simplify]: Simplify 2 into 2 51.965 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 51.965 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.965 * [backup-simplify]: Simplify phi1 into phi1 51.965 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.965 * [backup-simplify]: Simplify phi2 into phi2 51.965 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 51.965 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 51.965 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 51.965 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 51.965 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 51.965 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 51.966 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 51.966 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 51.966 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 51.967 * [backup-simplify]: Simplify (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 51.967 * [backup-simplify]: Simplify (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) into (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) 51.967 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) into (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) 51.968 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) into (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) 51.968 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.968 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 51.968 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) into 0 51.969 * [backup-simplify]: Simplify (* -2/3 0) into 0 51.969 * [taylor]: Taking taylor expansion of 0 in phi1 51.969 * [backup-simplify]: Simplify 0 into 0 51.969 * [taylor]: Taking taylor expansion of 0 in phi2 51.969 * [backup-simplify]: Simplify 0 into 0 51.969 * [backup-simplify]: Simplify 0 into 0 51.969 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 51.969 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 51.970 * [backup-simplify]: Simplify (+ 0 0) into 0 51.970 * [backup-simplify]: Simplify (+ 0 0) into 0 51.970 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 51.971 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 51.971 * [backup-simplify]: Simplify (- 0) into 0 51.971 * [backup-simplify]: Simplify (+ 0 0) into 0 51.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1)))) 1) into 0 51.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 51.974 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.974 * [taylor]: Taking taylor expansion of 0 in phi1 51.974 * [backup-simplify]: Simplify 0 into 0 51.974 * [taylor]: Taking taylor expansion of 0 in phi2 51.974 * [backup-simplify]: Simplify 0 into 0 51.974 * [backup-simplify]: Simplify 0 into 0 51.974 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 51.975 * [backup-simplify]: Simplify (+ 0 0) into 0 51.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 51.976 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 51.976 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 51.976 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 51.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 phi2))) 1)) (pow (pow phi2 2) 1)))) 1) into (/ -2 phi2) 51.976 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 phi2)) (* 0 (log (pow phi2 2)))) into (- (* 2/3 (/ 1 phi2))) 51.976 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow phi2 2)))) (+ (* (/ (pow (- (* 2/3 (/ 1 phi2))) 1) 1)))) into (* -2/3 (pow (/ 1 phi2) 1/3)) 51.977 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ 1 phi2) 1/3)) in phi2 51.977 * [taylor]: Taking taylor expansion of -2/3 in phi2 51.977 * [backup-simplify]: Simplify -2/3 into -2/3 51.977 * [taylor]: Taking taylor expansion of (pow (/ 1 phi2) 1/3) in phi2 51.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 phi2)))) in phi2 51.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 phi2))) in phi2 51.977 * [taylor]: Taking taylor expansion of 1/3 in phi2 51.977 * [backup-simplify]: Simplify 1/3 into 1/3 51.977 * [taylor]: Taking taylor expansion of (log (/ 1 phi2)) in phi2 51.977 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 51.977 * [taylor]: Taking taylor expansion of phi2 in phi2 51.977 * [backup-simplify]: Simplify 0 into 0 51.977 * [backup-simplify]: Simplify 1 into 1 51.977 * [backup-simplify]: Simplify (/ 1 1) into 1 51.977 * [backup-simplify]: Simplify (log 1) into 0 51.977 * [backup-simplify]: Simplify (+ (* (- 1) (log phi2)) 0) into (- (log phi2)) 51.978 * [backup-simplify]: Simplify (* 1/3 (- (log phi2))) into (* -1/3 (log phi2)) 51.978 * [backup-simplify]: Simplify (exp (* -1/3 (log phi2))) into (pow phi2 -1/3) 51.978 * [backup-simplify]: Simplify (* -2/3 (pow phi2 -1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 51.978 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 phi2) 1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 51.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 51.979 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 51.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log phi2)))) into 0 51.980 * [backup-simplify]: Simplify (* (exp (* 2/3 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 51.980 * [backup-simplify]: Simplify 0 into 0 51.981 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.981 * [backup-simplify]: Simplify (* 1 1) into 1 51.981 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.982 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 51.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 51.983 * [backup-simplify]: Simplify (+ 0 0) into 0 51.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 51.984 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.984 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 51.984 * [backup-simplify]: Simplify (- 0) into 0 51.985 * [backup-simplify]: Simplify (+ 0 0) into 0 51.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 51.985 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 51.986 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 51.986 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 51.986 * [backup-simplify]: Simplify (+ 0 0) into 0 51.986 * [backup-simplify]: Simplify (+ 0 0) into 0 51.987 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.987 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 51.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 51.988 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 51.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 51.989 * [backup-simplify]: Simplify (+ 0 0) into 0 51.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 51.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.990 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 51.991 * [backup-simplify]: Simplify (- 0) into 0 51.991 * [backup-simplify]: Simplify (+ 0 0) into 0 51.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 51.991 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 51.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 51.992 * [backup-simplify]: Simplify (+ 0 0) into 0 51.993 * [backup-simplify]: Simplify (- 0) into 0 51.993 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 51.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 2) into (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 51.996 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))))) (+ (* 0 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) into (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 51.999 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 2) 2)) (* (/ (pow (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 1) 1)))) into (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 51.999 * [taylor]: Taking taylor expansion of (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 51.999 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 51.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 51.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 51.999 * [taylor]: Taking taylor expansion of 1/3 in lambda2 51.999 * [backup-simplify]: Simplify 1/3 into 1/3 51.999 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 51.999 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 51.999 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 51.999 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 51.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.999 * [backup-simplify]: Simplify phi2 into phi2 51.999 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 51.999 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 51.999 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 51.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 51.999 * [backup-simplify]: Simplify 0 into 0 51.999 * [backup-simplify]: Simplify 1 into 1 51.999 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 51.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 51.999 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 51.999 * [taylor]: Taking taylor expansion of 1/2 in lambda2 51.999 * [backup-simplify]: Simplify 1/2 into 1/2 51.999 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 51.999 * [taylor]: Taking taylor expansion of phi1 in lambda2 51.999 * [backup-simplify]: Simplify phi1 into phi1 51.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 51.999 * [backup-simplify]: Simplify phi2 into phi2 51.999 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 51.999 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 51.999 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 51.999 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 51.999 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 51.999 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.000 * [backup-simplify]: Simplify (- 0) into 0 52.000 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.000 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.000 * [backup-simplify]: Simplify phi1 into phi1 52.000 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.000 * [taylor]: Taking taylor expansion of 2 in lambda2 52.000 * [backup-simplify]: Simplify 2 into 2 52.000 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.000 * [backup-simplify]: Simplify phi1 into phi1 52.000 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.000 * [backup-simplify]: Simplify phi2 into phi2 52.000 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.000 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.000 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.000 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.000 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.000 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.000 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.001 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.001 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 52.001 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.001 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 52.001 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 52.001 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 52.001 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.001 * [backup-simplify]: Simplify 1/3 into 1/3 52.001 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 52.001 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.001 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.001 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.001 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.001 * [backup-simplify]: Simplify 1/2 into 1/2 52.001 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.001 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.001 * [backup-simplify]: Simplify phi1 into phi1 52.001 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.001 * [backup-simplify]: Simplify phi2 into phi2 52.001 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.001 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.001 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.001 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.002 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.002 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.002 * [backup-simplify]: Simplify (- 0) into 0 52.002 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.002 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.002 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.002 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.002 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.002 * [backup-simplify]: Simplify phi2 into phi2 52.002 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.002 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.002 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.002 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.002 * [backup-simplify]: Simplify 0 into 0 52.002 * [backup-simplify]: Simplify 1 into 1 52.002 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.002 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.002 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.002 * [backup-simplify]: Simplify 1/2 into 1/2 52.002 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.002 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.002 * [backup-simplify]: Simplify phi1 into phi1 52.002 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.002 * [backup-simplify]: Simplify phi2 into phi2 52.002 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.002 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.002 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.002 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.003 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.003 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.003 * [backup-simplify]: Simplify (- 0) into 0 52.003 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.003 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.003 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.003 * [backup-simplify]: Simplify phi1 into phi1 52.003 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.003 * [taylor]: Taking taylor expansion of 2 in lambda2 52.003 * [backup-simplify]: Simplify 2 into 2 52.003 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.003 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.003 * [backup-simplify]: Simplify phi1 into phi1 52.003 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.003 * [backup-simplify]: Simplify phi2 into phi2 52.003 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.003 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.003 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.003 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.003 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.003 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.003 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.004 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.004 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.004 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 52.004 * [taylor]: Taking taylor expansion of (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 52.004 * [taylor]: Taking taylor expansion of 4/9 in lambda2 52.004 * [backup-simplify]: Simplify 4/9 into 4/9 52.004 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 52.004 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 52.004 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.004 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.004 * [backup-simplify]: Simplify 0 into 0 52.004 * [backup-simplify]: Simplify 1 into 1 52.004 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 52.004 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.004 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.004 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.004 * [backup-simplify]: Simplify 1/2 into 1/2 52.004 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.004 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.004 * [backup-simplify]: Simplify phi1 into phi1 52.004 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.004 * [backup-simplify]: Simplify phi2 into phi2 52.004 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.004 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.004 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.004 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.004 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.005 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.005 * [backup-simplify]: Simplify (- 0) into 0 52.005 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.005 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 52.005 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.005 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.005 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.005 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.005 * [backup-simplify]: Simplify phi2 into phi2 52.005 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.005 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.005 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.005 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.005 * [backup-simplify]: Simplify 0 into 0 52.005 * [backup-simplify]: Simplify 1 into 1 52.005 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.005 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.005 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.005 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.005 * [backup-simplify]: Simplify 1/2 into 1/2 52.005 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.005 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.005 * [backup-simplify]: Simplify phi1 into phi1 52.005 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.005 * [backup-simplify]: Simplify phi2 into phi2 52.005 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.005 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.005 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.005 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.005 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.006 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.006 * [backup-simplify]: Simplify (- 0) into 0 52.006 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.006 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.006 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.006 * [backup-simplify]: Simplify phi1 into phi1 52.006 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.006 * [taylor]: Taking taylor expansion of 2 in lambda2 52.006 * [backup-simplify]: Simplify 2 into 2 52.006 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.006 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.006 * [backup-simplify]: Simplify phi1 into phi1 52.006 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.006 * [backup-simplify]: Simplify phi2 into phi2 52.006 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.006 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.006 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.006 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.006 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.006 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.006 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.007 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.007 * [backup-simplify]: Simplify (* 1 1) into 1 52.007 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.007 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 52.007 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 52.007 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 52.008 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 52.008 * [backup-simplify]: Simplify (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.008 * [backup-simplify]: Simplify (+ (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.009 * [backup-simplify]: Simplify (* (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) 52.009 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) in phi1 52.009 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.009 * [backup-simplify]: Simplify 1/3 into 1/3 52.009 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) in phi1 52.009 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 52.009 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 52.009 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 52.009 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.009 * [backup-simplify]: Simplify 1/2 into 1/2 52.009 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 52.009 * [taylor]: Taking taylor expansion of phi1 in phi1 52.009 * [backup-simplify]: Simplify 0 into 0 52.009 * [backup-simplify]: Simplify 1 into 1 52.009 * [taylor]: Taking taylor expansion of phi2 in phi1 52.009 * [backup-simplify]: Simplify phi2 into phi2 52.009 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 52.009 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 52.009 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 52.009 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 52.009 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 52.009 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 52.010 * [backup-simplify]: Simplify (- 0) into 0 52.010 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 52.010 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) in phi1 52.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) in phi1 52.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) in phi1 52.010 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.010 * [backup-simplify]: Simplify 1/3 into 1/3 52.010 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) in phi1 52.010 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) in phi1 52.010 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) in phi1 52.010 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 52.010 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 52.010 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.010 * [taylor]: Taking taylor expansion of phi2 in phi1 52.010 * [backup-simplify]: Simplify phi2 into phi2 52.010 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.010 * [taylor]: Taking taylor expansion of phi1 in phi1 52.010 * [backup-simplify]: Simplify 0 into 0 52.010 * [backup-simplify]: Simplify 1 into 1 52.010 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 52.010 * [taylor]: Taking taylor expansion of 2 in phi1 52.010 * [backup-simplify]: Simplify 2 into 2 52.010 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.010 * [taylor]: Taking taylor expansion of phi1 in phi1 52.010 * [backup-simplify]: Simplify 0 into 0 52.010 * [backup-simplify]: Simplify 1 into 1 52.010 * [taylor]: Taking taylor expansion of phi2 in phi1 52.010 * [backup-simplify]: Simplify phi2 into phi2 52.010 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.010 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 52.010 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.010 * [backup-simplify]: Simplify (* 2 0) into 0 52.011 * [backup-simplify]: Simplify (- 0) into 0 52.011 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 52.011 * [backup-simplify]: Simplify (* (pow phi2 2) (pow phi2 2)) into (pow phi2 4) 52.011 * [backup-simplify]: Simplify (/ 1 (pow phi2 4)) into (/ 1 (pow phi2 4)) 52.011 * [backup-simplify]: Simplify (log (/ 1 (pow phi2 4))) into (log (/ 1 (pow phi2 4))) 52.011 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow phi2 4)))) into (* 1/3 (log (/ 1 (pow phi2 4)))) 52.011 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow phi2 4))))) into (pow (/ 1 (pow phi2 4)) 1/3) 52.011 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 52.011 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) 52.011 * [backup-simplify]: Simplify (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) into (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) 52.011 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) in phi2 52.011 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.012 * [backup-simplify]: Simplify 1/3 into 1/3 52.012 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) in phi2 52.012 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 52.012 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 52.012 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 52.012 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.012 * [backup-simplify]: Simplify 1/2 into 1/2 52.012 * [taylor]: Taking taylor expansion of phi2 in phi2 52.012 * [backup-simplify]: Simplify 0 into 0 52.012 * [backup-simplify]: Simplify 1 into 1 52.012 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.012 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.012 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow phi2 4)) 1/3) in phi2 52.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow phi2 4))))) in phi2 52.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow phi2 4)))) in phi2 52.013 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.013 * [backup-simplify]: Simplify 1/3 into 1/3 52.013 * [taylor]: Taking taylor expansion of (log (/ 1 (pow phi2 4))) in phi2 52.013 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 4)) in phi2 52.013 * [taylor]: Taking taylor expansion of (pow phi2 4) in phi2 52.013 * [taylor]: Taking taylor expansion of phi2 in phi2 52.013 * [backup-simplify]: Simplify 0 into 0 52.013 * [backup-simplify]: Simplify 1 into 1 52.013 * [backup-simplify]: Simplify (* 1 1) into 1 52.013 * [backup-simplify]: Simplify (* 1 1) into 1 52.013 * [backup-simplify]: Simplify (/ 1 1) into 1 52.014 * [backup-simplify]: Simplify (log 1) into 0 52.014 * [backup-simplify]: Simplify (+ (* (- 4) (log phi2)) 0) into (- (* 4 (log phi2))) 52.014 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log phi2)))) into (* -4/3 (log phi2)) 52.014 * [backup-simplify]: Simplify (exp (* -4/3 (log phi2))) into (pow phi2 -4/3) 52.014 * [backup-simplify]: Simplify (* 1 1) into 1 52.014 * [backup-simplify]: Simplify (* 1 (pow phi2 -4/3)) into (pow (/ 1 (pow phi2 4)) 1/3) 52.014 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 52.015 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 52.015 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 phi2) 1/3)) (* 1 (* phi1 (* 1 1)))) (pow phi2 2/3))) into (- (+ (* 1/3 (* (pow lambda1 2) (pow (/ 1 (pow phi2 4)) 1/3))) (pow phi2 2/3)) (* 2/3 (* phi1 (pow (/ 1 phi2) 1/3)))) 52.016 * [backup-simplify]: Simplify (cbrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) 52.016 * [approximate]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 52.016 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi2 52.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi2 52.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi2 52.016 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.016 * [backup-simplify]: Simplify 1/3 into 1/3 52.016 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 52.016 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 52.016 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 52.016 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 52.016 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.016 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.016 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.016 * [backup-simplify]: Simplify 1/2 into 1/2 52.016 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.016 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.016 * [taylor]: Taking taylor expansion of phi1 in phi2 52.016 * [backup-simplify]: Simplify phi1 into phi1 52.017 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.017 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.017 * [taylor]: Taking taylor expansion of phi2 in phi2 52.017 * [backup-simplify]: Simplify 0 into 0 52.017 * [backup-simplify]: Simplify 1 into 1 52.017 * [backup-simplify]: Simplify (/ 1 1) into 1 52.017 * [backup-simplify]: Simplify (+ 0 1) into 1 52.017 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.017 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.017 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 52.018 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.018 * [backup-simplify]: Simplify lambda2 into lambda2 52.018 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.018 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.018 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 52.018 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 52.018 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 52.018 * [taylor]: Taking taylor expansion of phi1 in phi2 52.018 * [backup-simplify]: Simplify phi1 into phi1 52.018 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.018 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.018 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 52.018 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 52.018 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.018 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.018 * [backup-simplify]: Simplify 1/2 into 1/2 52.018 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.018 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.018 * [taylor]: Taking taylor expansion of phi1 in phi2 52.018 * [backup-simplify]: Simplify phi1 into phi1 52.018 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.018 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.018 * [taylor]: Taking taylor expansion of phi2 in phi2 52.018 * [backup-simplify]: Simplify 0 into 0 52.018 * [backup-simplify]: Simplify 1 into 1 52.019 * [backup-simplify]: Simplify (/ 1 1) into 1 52.019 * [backup-simplify]: Simplify (+ 0 1) into 1 52.019 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.019 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.019 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 52.019 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.019 * [backup-simplify]: Simplify lambda1 into lambda1 52.019 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.019 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.020 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.020 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 52.020 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.020 * [taylor]: Taking taylor expansion of phi2 in phi2 52.020 * [backup-simplify]: Simplify 0 into 0 52.020 * [backup-simplify]: Simplify 1 into 1 52.020 * [backup-simplify]: Simplify (* 1 1) into 1 52.020 * [backup-simplify]: Simplify (/ 1 1) into 1 52.020 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 52.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 52.020 * [taylor]: Taking taylor expansion of 2 in phi2 52.020 * [backup-simplify]: Simplify 2 into 2 52.020 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 52.020 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 52.020 * [taylor]: Taking taylor expansion of phi1 in phi2 52.020 * [backup-simplify]: Simplify phi1 into phi1 52.020 * [taylor]: Taking taylor expansion of phi2 in phi2 52.020 * [backup-simplify]: Simplify 0 into 0 52.020 * [backup-simplify]: Simplify 1 into 1 52.020 * [backup-simplify]: Simplify (* phi1 0) into 0 52.021 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 52.021 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.021 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 52.021 * [taylor]: Taking taylor expansion of 2 in phi2 52.021 * [backup-simplify]: Simplify 2 into 2 52.021 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 52.021 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.021 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.021 * [backup-simplify]: Simplify 1/2 into 1/2 52.021 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.021 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.021 * [taylor]: Taking taylor expansion of phi1 in phi2 52.021 * [backup-simplify]: Simplify phi1 into phi1 52.021 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.021 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.021 * [taylor]: Taking taylor expansion of phi2 in phi2 52.021 * [backup-simplify]: Simplify 0 into 0 52.021 * [backup-simplify]: Simplify 1 into 1 52.022 * [backup-simplify]: Simplify (/ 1 1) into 1 52.022 * [backup-simplify]: Simplify (+ 0 1) into 1 52.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.022 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.023 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 52.023 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.023 * [backup-simplify]: Simplify lambda2 into lambda2 52.023 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.023 * [backup-simplify]: Simplify lambda1 into lambda1 52.023 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.023 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 52.023 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 52.024 * [backup-simplify]: Simplify (+ 0 1) into 1 52.024 * [backup-simplify]: Simplify (+ 0 1) into 1 52.025 * [backup-simplify]: Simplify (+ 0 1) into 1 52.025 * [backup-simplify]: Simplify (+ 1 0) into 1 52.025 * [backup-simplify]: Simplify (log 1) into 0 52.026 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 52.026 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 52.026 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 52.026 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi1 52.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi1 52.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi1 52.026 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.026 * [backup-simplify]: Simplify 1/3 into 1/3 52.026 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 52.026 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 52.026 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 52.026 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 52.026 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.026 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.026 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.026 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.027 * [backup-simplify]: Simplify 1/2 into 1/2 52.027 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.027 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.027 * [taylor]: Taking taylor expansion of phi1 in phi1 52.027 * [backup-simplify]: Simplify 0 into 0 52.027 * [backup-simplify]: Simplify 1 into 1 52.027 * [backup-simplify]: Simplify (/ 1 1) into 1 52.027 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.027 * [taylor]: Taking taylor expansion of phi2 in phi1 52.027 * [backup-simplify]: Simplify phi2 into phi2 52.027 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.028 * [backup-simplify]: Simplify (+ 1 0) into 1 52.028 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.028 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.028 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 52.028 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.028 * [backup-simplify]: Simplify lambda2 into lambda2 52.028 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.029 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.029 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 52.029 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 52.029 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.029 * [taylor]: Taking taylor expansion of phi1 in phi1 52.029 * [backup-simplify]: Simplify 0 into 0 52.029 * [backup-simplify]: Simplify 1 into 1 52.029 * [backup-simplify]: Simplify (* 1 1) into 1 52.030 * [backup-simplify]: Simplify (/ 1 1) into 1 52.030 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 52.030 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 52.030 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.030 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.030 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.030 * [backup-simplify]: Simplify 1/2 into 1/2 52.030 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.030 * [taylor]: Taking taylor expansion of phi1 in phi1 52.030 * [backup-simplify]: Simplify 0 into 0 52.030 * [backup-simplify]: Simplify 1 into 1 52.030 * [backup-simplify]: Simplify (/ 1 1) into 1 52.030 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.031 * [taylor]: Taking taylor expansion of phi2 in phi1 52.031 * [backup-simplify]: Simplify phi2 into phi2 52.031 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.031 * [backup-simplify]: Simplify (+ 1 0) into 1 52.032 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.032 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.032 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 52.032 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.032 * [backup-simplify]: Simplify lambda1 into lambda1 52.032 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.032 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.033 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.033 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 52.033 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.033 * [taylor]: Taking taylor expansion of phi2 in phi1 52.033 * [backup-simplify]: Simplify phi2 into phi2 52.033 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.033 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.033 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 52.033 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 52.033 * [taylor]: Taking taylor expansion of 2 in phi1 52.033 * [backup-simplify]: Simplify 2 into 2 52.033 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 52.033 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.033 * [taylor]: Taking taylor expansion of phi1 in phi1 52.033 * [backup-simplify]: Simplify 0 into 0 52.033 * [backup-simplify]: Simplify 1 into 1 52.033 * [taylor]: Taking taylor expansion of phi2 in phi1 52.033 * [backup-simplify]: Simplify phi2 into phi2 52.033 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.034 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.034 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.034 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 52.034 * [taylor]: Taking taylor expansion of 2 in phi1 52.034 * [backup-simplify]: Simplify 2 into 2 52.034 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 52.034 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.034 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.034 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.034 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.034 * [backup-simplify]: Simplify 1/2 into 1/2 52.034 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.034 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.034 * [taylor]: Taking taylor expansion of phi1 in phi1 52.034 * [backup-simplify]: Simplify 0 into 0 52.034 * [backup-simplify]: Simplify 1 into 1 52.034 * [backup-simplify]: Simplify (/ 1 1) into 1 52.034 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.035 * [taylor]: Taking taylor expansion of phi2 in phi1 52.035 * [backup-simplify]: Simplify phi2 into phi2 52.035 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.035 * [backup-simplify]: Simplify (+ 1 0) into 1 52.035 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.036 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.036 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 52.036 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.036 * [backup-simplify]: Simplify lambda2 into lambda2 52.036 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.036 * [backup-simplify]: Simplify lambda1 into lambda1 52.036 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.036 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 52.036 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 52.037 * [backup-simplify]: Simplify (+ 1 0) into 1 52.037 * [backup-simplify]: Simplify (+ 0 1) into 1 52.038 * [backup-simplify]: Simplify (+ 1 0) into 1 52.038 * [backup-simplify]: Simplify (log 1) into 0 52.038 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 52.038 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 52.039 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 52.039 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 52.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda2 52.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda2 52.039 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.039 * [backup-simplify]: Simplify 1/3 into 1/3 52.039 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 52.039 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 52.039 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 52.039 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 52.039 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.039 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.039 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.039 * [backup-simplify]: Simplify 1/2 into 1/2 52.039 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.039 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.039 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.039 * [backup-simplify]: Simplify phi1 into phi1 52.039 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.039 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.039 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.039 * [backup-simplify]: Simplify phi2 into phi2 52.039 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.039 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.040 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.040 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.040 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.040 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.040 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.041 * [backup-simplify]: Simplify (- 0) into 0 52.041 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.041 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.041 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.041 * [backup-simplify]: Simplify 0 into 0 52.041 * [backup-simplify]: Simplify 1 into 1 52.041 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.041 * [backup-simplify]: Simplify (* 1 1) into 1 52.042 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 52.042 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 52.042 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.042 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.042 * [backup-simplify]: Simplify phi1 into phi1 52.042 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.042 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.042 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 52.042 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 52.042 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.042 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.042 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.042 * [backup-simplify]: Simplify 1/2 into 1/2 52.042 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.042 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.042 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.042 * [backup-simplify]: Simplify phi1 into phi1 52.042 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.042 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.042 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.042 * [backup-simplify]: Simplify phi2 into phi2 52.042 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.043 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.043 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.043 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.043 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.043 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.043 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.044 * [backup-simplify]: Simplify (- 0) into 0 52.044 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.044 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 52.044 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.044 * [backup-simplify]: Simplify lambda1 into lambda1 52.044 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.044 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.044 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.044 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 52.044 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.044 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.044 * [backup-simplify]: Simplify phi2 into phi2 52.045 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.045 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.045 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 52.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 52.045 * [taylor]: Taking taylor expansion of 2 in lambda2 52.045 * [backup-simplify]: Simplify 2 into 2 52.045 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 52.045 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.045 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.045 * [backup-simplify]: Simplify phi1 into phi1 52.045 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.045 * [backup-simplify]: Simplify phi2 into phi2 52.045 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.045 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.045 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 52.045 * [taylor]: Taking taylor expansion of 2 in lambda2 52.045 * [backup-simplify]: Simplify 2 into 2 52.045 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 52.045 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.045 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.045 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.045 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.045 * [backup-simplify]: Simplify 1/2 into 1/2 52.045 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.045 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.045 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.045 * [backup-simplify]: Simplify phi1 into phi1 52.045 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.045 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.045 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.045 * [backup-simplify]: Simplify phi2 into phi2 52.046 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.046 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.046 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.046 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.046 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.046 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.046 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.047 * [backup-simplify]: Simplify (- 0) into 0 52.047 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.047 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 52.047 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.047 * [backup-simplify]: Simplify 0 into 0 52.047 * [backup-simplify]: Simplify 1 into 1 52.047 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.047 * [backup-simplify]: Simplify lambda1 into lambda1 52.047 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.047 * [backup-simplify]: Simplify (* 0 lambda1) into 0 52.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 52.048 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 52.048 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.049 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.049 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.049 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 52.050 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 52.050 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 52.050 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 52.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 52.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 52.050 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.050 * [backup-simplify]: Simplify 1/3 into 1/3 52.050 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 52.050 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 52.050 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 52.050 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.050 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.050 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.050 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.050 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.050 * [backup-simplify]: Simplify 1/2 into 1/2 52.050 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.050 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.051 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.051 * [backup-simplify]: Simplify phi1 into phi1 52.051 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.051 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.051 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.051 * [backup-simplify]: Simplify phi2 into phi2 52.051 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.051 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.051 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.051 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.051 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.051 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.051 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.052 * [backup-simplify]: Simplify (- 0) into 0 52.052 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.052 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.052 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.052 * [backup-simplify]: Simplify lambda2 into lambda2 52.052 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.053 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.053 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 52.053 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.053 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.053 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.053 * [backup-simplify]: Simplify phi1 into phi1 52.053 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.053 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.053 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 52.053 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.053 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.053 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.053 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.053 * [backup-simplify]: Simplify 1/2 into 1/2 52.053 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.053 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.053 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.053 * [backup-simplify]: Simplify phi1 into phi1 52.053 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.053 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.054 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.054 * [backup-simplify]: Simplify phi2 into phi2 52.054 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.054 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.054 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.054 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.054 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.054 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.054 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.055 * [backup-simplify]: Simplify (- 0) into 0 52.055 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.055 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.055 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.055 * [backup-simplify]: Simplify 0 into 0 52.055 * [backup-simplify]: Simplify 1 into 1 52.055 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.056 * [backup-simplify]: Simplify (* 1 1) into 1 52.056 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.056 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.056 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.056 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.056 * [backup-simplify]: Simplify phi2 into phi2 52.056 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.056 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.056 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 52.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.056 * [taylor]: Taking taylor expansion of 2 in lambda1 52.056 * [backup-simplify]: Simplify 2 into 2 52.056 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.056 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.056 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.056 * [backup-simplify]: Simplify phi1 into phi1 52.057 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.057 * [backup-simplify]: Simplify phi2 into phi2 52.057 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.057 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.057 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 52.057 * [taylor]: Taking taylor expansion of 2 in lambda1 52.057 * [backup-simplify]: Simplify 2 into 2 52.057 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 52.057 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.057 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.057 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.057 * [backup-simplify]: Simplify 1/2 into 1/2 52.057 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.057 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.057 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.057 * [backup-simplify]: Simplify phi1 into phi1 52.057 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.057 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.057 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.057 * [backup-simplify]: Simplify phi2 into phi2 52.057 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.057 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.057 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.058 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.058 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.058 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.058 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.059 * [backup-simplify]: Simplify (- 0) into 0 52.059 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.059 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 52.059 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.059 * [backup-simplify]: Simplify lambda2 into lambda2 52.059 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.059 * [backup-simplify]: Simplify 0 into 0 52.059 * [backup-simplify]: Simplify 1 into 1 52.059 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.059 * [backup-simplify]: Simplify (* lambda2 0) into 0 52.060 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 52.060 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.060 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.061 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.061 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.061 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.061 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.062 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.062 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.063 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.063 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 52.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 52.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 52.063 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.063 * [backup-simplify]: Simplify 1/3 into 1/3 52.063 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 52.063 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 52.063 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 52.063 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.063 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.063 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.063 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.063 * [backup-simplify]: Simplify 1/2 into 1/2 52.063 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.063 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.063 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.063 * [backup-simplify]: Simplify phi1 into phi1 52.063 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.064 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.064 * [backup-simplify]: Simplify phi2 into phi2 52.064 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.064 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.064 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.064 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.064 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.064 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.064 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.065 * [backup-simplify]: Simplify (- 0) into 0 52.065 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.065 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.065 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.065 * [backup-simplify]: Simplify lambda2 into lambda2 52.066 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.066 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.066 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 52.066 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.066 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.066 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.066 * [backup-simplify]: Simplify phi1 into phi1 52.066 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.066 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.066 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 52.066 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.066 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.067 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.067 * [backup-simplify]: Simplify 1/2 into 1/2 52.067 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.067 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.067 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.067 * [backup-simplify]: Simplify phi1 into phi1 52.067 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.067 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.067 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.067 * [backup-simplify]: Simplify phi2 into phi2 52.067 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.067 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.067 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.067 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.067 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.068 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.068 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.068 * [backup-simplify]: Simplify (- 0) into 0 52.068 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.068 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.068 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.068 * [backup-simplify]: Simplify 0 into 0 52.069 * [backup-simplify]: Simplify 1 into 1 52.069 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.069 * [backup-simplify]: Simplify (* 1 1) into 1 52.069 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.069 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.070 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.070 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.070 * [backup-simplify]: Simplify phi2 into phi2 52.070 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.070 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.070 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 52.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.070 * [taylor]: Taking taylor expansion of 2 in lambda1 52.070 * [backup-simplify]: Simplify 2 into 2 52.070 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.070 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.070 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.070 * [backup-simplify]: Simplify phi1 into phi1 52.070 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.070 * [backup-simplify]: Simplify phi2 into phi2 52.070 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.070 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.070 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 52.070 * [taylor]: Taking taylor expansion of 2 in lambda1 52.070 * [backup-simplify]: Simplify 2 into 2 52.070 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 52.070 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.070 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.070 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.070 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.070 * [backup-simplify]: Simplify 1/2 into 1/2 52.070 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.070 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.070 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.071 * [backup-simplify]: Simplify phi1 into phi1 52.071 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.071 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.071 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.071 * [backup-simplify]: Simplify phi2 into phi2 52.071 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.071 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.071 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.071 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.071 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.071 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.072 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.072 * [backup-simplify]: Simplify (- 0) into 0 52.072 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.072 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 52.072 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.072 * [backup-simplify]: Simplify lambda2 into lambda2 52.072 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.072 * [backup-simplify]: Simplify 0 into 0 52.072 * [backup-simplify]: Simplify 1 into 1 52.073 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.073 * [backup-simplify]: Simplify (* lambda2 0) into 0 52.073 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 52.073 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.074 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.074 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.074 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.074 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.074 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.075 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.075 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.076 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.076 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.076 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.076 * [backup-simplify]: Simplify 1/3 into 1/3 52.076 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.076 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.076 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.076 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.076 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.076 * [backup-simplify]: Simplify 1/2 into 1/2 52.076 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.076 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.076 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.076 * [backup-simplify]: Simplify phi1 into phi1 52.076 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.076 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.076 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.076 * [backup-simplify]: Simplify phi2 into phi2 52.076 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.076 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.077 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.077 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.077 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.077 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.077 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.078 * [backup-simplify]: Simplify (- 0) into 0 52.078 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.079 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.079 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.079 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.079 * [taylor]: Taking taylor expansion of 2 in lambda2 52.079 * [backup-simplify]: Simplify 2 into 2 52.079 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.079 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.079 * [backup-simplify]: Simplify lambda1 into lambda1 52.079 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.079 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.079 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.079 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.080 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.080 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.080 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.080 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.080 * [backup-simplify]: Simplify 1/3 into 1/3 52.080 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.080 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.080 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.080 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.080 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.080 * [backup-simplify]: Simplify 1/2 into 1/2 52.081 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.081 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.081 * [taylor]: Taking taylor expansion of phi1 in phi1 52.081 * [backup-simplify]: Simplify 0 into 0 52.081 * [backup-simplify]: Simplify 1 into 1 52.084 * [backup-simplify]: Simplify (/ 1 1) into 1 52.084 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.084 * [taylor]: Taking taylor expansion of phi2 in phi1 52.084 * [backup-simplify]: Simplify phi2 into phi2 52.084 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.085 * [backup-simplify]: Simplify (+ 1 0) into 1 52.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.086 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.086 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.086 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.086 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.086 * [taylor]: Taking taylor expansion of 2 in phi1 52.086 * [backup-simplify]: Simplify 2 into 2 52.086 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.086 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.086 * [backup-simplify]: Simplify lambda1 into lambda1 52.086 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.086 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.087 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.087 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.087 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.087 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 52.087 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 52.087 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.088 * [backup-simplify]: Simplify 1/3 into 1/3 52.088 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 52.088 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 52.088 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.088 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.088 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.088 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.088 * [backup-simplify]: Simplify 1/2 into 1/2 52.088 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.088 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.088 * [taylor]: Taking taylor expansion of phi1 in phi2 52.088 * [backup-simplify]: Simplify phi1 into phi1 52.088 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.088 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.088 * [taylor]: Taking taylor expansion of phi2 in phi2 52.088 * [backup-simplify]: Simplify 0 into 0 52.088 * [backup-simplify]: Simplify 1 into 1 52.088 * [backup-simplify]: Simplify (/ 1 1) into 1 52.089 * [backup-simplify]: Simplify (+ 0 1) into 1 52.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.089 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.089 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.089 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.089 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 52.089 * [taylor]: Taking taylor expansion of 2 in phi2 52.089 * [backup-simplify]: Simplify 2 into 2 52.089 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 52.089 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.089 * [backup-simplify]: Simplify lambda1 into lambda1 52.089 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.089 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.090 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.090 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.090 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.090 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.090 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.091 * [backup-simplify]: Simplify (+ 0) into 0 52.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.091 * [backup-simplify]: Simplify (+ 0 0) into 0 52.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.092 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.093 * [backup-simplify]: Simplify (- 0) into 0 52.093 * [backup-simplify]: Simplify (+ 0 0) into 0 52.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 52.094 * [backup-simplify]: Simplify (+ 0 0) into 0 52.095 * [backup-simplify]: Simplify (+ 0 0) into 0 52.095 * [backup-simplify]: Simplify (+ 0 0) into 0 52.095 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 52.095 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 52.096 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 52.096 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 52.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 52.097 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.097 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 52.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 52.097 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 52.097 * [taylor]: Taking taylor expansion of -2/3 in lambda2 52.097 * [backup-simplify]: Simplify -2/3 into -2/3 52.097 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 52.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.097 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.097 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.097 * [backup-simplify]: Simplify 1/3 into 1/3 52.097 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.097 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.097 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.097 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.097 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.097 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.097 * [backup-simplify]: Simplify 1/2 into 1/2 52.097 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.097 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.097 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.097 * [backup-simplify]: Simplify phi1 into phi1 52.097 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.097 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.097 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.097 * [backup-simplify]: Simplify phi2 into phi2 52.097 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.098 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.098 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.098 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.098 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.098 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.098 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.098 * [backup-simplify]: Simplify (- 0) into 0 52.098 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.098 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.099 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.099 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.099 * [taylor]: Taking taylor expansion of 2 in lambda2 52.099 * [backup-simplify]: Simplify 2 into 2 52.099 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.099 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.099 * [backup-simplify]: Simplify lambda1 into lambda1 52.099 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.099 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.099 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.099 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.099 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.099 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.099 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.099 * [backup-simplify]: Simplify 0 into 0 52.099 * [backup-simplify]: Simplify 1 into 1 52.099 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.100 * [backup-simplify]: Simplify (+ 0) into 0 52.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.100 * [backup-simplify]: Simplify (+ 0 0) into 0 52.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.102 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.102 * [backup-simplify]: Simplify (- 0) into 0 52.102 * [backup-simplify]: Simplify (+ 0 0) into 0 52.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.104 * [backup-simplify]: Simplify (- 0) into 0 52.104 * [backup-simplify]: Simplify (+ 0 0) into 0 52.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.105 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 52.106 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 52.106 * [taylor]: Taking taylor expansion of 0 in phi1 52.106 * [backup-simplify]: Simplify 0 into 0 52.106 * [taylor]: Taking taylor expansion of 0 in phi2 52.106 * [backup-simplify]: Simplify 0 into 0 52.106 * [backup-simplify]: Simplify 0 into 0 52.107 * [backup-simplify]: Simplify (+ 0) into 0 52.107 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.107 * [backup-simplify]: Simplify (+ 0 0) into 0 52.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.108 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.109 * [backup-simplify]: Simplify (- 0) into 0 52.109 * [backup-simplify]: Simplify (+ 0 0) into 0 52.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.110 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.111 * [backup-simplify]: Simplify (- 0) into 0 52.111 * [backup-simplify]: Simplify (+ 0 0) into 0 52.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.112 * [taylor]: Taking taylor expansion of 0 in phi1 52.112 * [backup-simplify]: Simplify 0 into 0 52.112 * [taylor]: Taking taylor expansion of 0 in phi2 52.112 * [backup-simplify]: Simplify 0 into 0 52.112 * [backup-simplify]: Simplify 0 into 0 52.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.114 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.114 * [backup-simplify]: Simplify (- 0) into 0 52.114 * [backup-simplify]: Simplify (+ 0 0) into 0 52.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.115 * [taylor]: Taking taylor expansion of 0 in phi2 52.115 * [backup-simplify]: Simplify 0 into 0 52.115 * [backup-simplify]: Simplify 0 into 0 52.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.117 * [backup-simplify]: Simplify (- 0) into 0 52.117 * [backup-simplify]: Simplify (+ 0 0) into 0 52.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.119 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.119 * [backup-simplify]: Simplify 0 into 0 52.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.121 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.122 * [backup-simplify]: Simplify (+ 0 0) into 0 52.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.124 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.124 * [backup-simplify]: Simplify (- 0) into 0 52.125 * [backup-simplify]: Simplify (+ 0 0) into 0 52.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 52.129 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 52.129 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 52.130 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 52.130 * [backup-simplify]: Simplify (+ 0) into 0 52.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.131 * [backup-simplify]: Simplify (+ 0 0) into 0 52.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.133 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.133 * [backup-simplify]: Simplify (- 0) into 0 52.134 * [backup-simplify]: Simplify (+ 0 0) into 0 52.134 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.135 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 52.135 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 52.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 52.136 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 52.136 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 52.137 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 52.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 52.139 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.142 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 52.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) 52.144 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) in lambda2 52.144 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 52.144 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 52.144 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 52.144 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.144 * [backup-simplify]: Simplify 1/3 into 1/3 52.144 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 52.144 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 52.144 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.145 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.145 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.145 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.145 * [backup-simplify]: Simplify 1/2 into 1/2 52.145 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.145 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.145 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.145 * [backup-simplify]: Simplify phi1 into phi1 52.145 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.145 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.145 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.145 * [backup-simplify]: Simplify phi2 into phi2 52.145 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.145 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.145 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.145 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.145 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.146 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.146 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.146 * [backup-simplify]: Simplify (- 0) into 0 52.146 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.146 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.146 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.147 * [backup-simplify]: Simplify phi2 into phi2 52.147 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.147 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.147 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 52.147 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.147 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 52.147 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.147 * [backup-simplify]: Simplify 1/3 into 1/3 52.147 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 52.148 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 52.148 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.148 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.148 * [backup-simplify]: Simplify 1/2 into 1/2 52.148 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.148 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.148 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.148 * [backup-simplify]: Simplify phi1 into phi1 52.148 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.148 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.148 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.148 * [backup-simplify]: Simplify phi2 into phi2 52.148 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.148 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.148 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.148 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.148 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.149 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.149 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.149 * [backup-simplify]: Simplify (- 0) into 0 52.150 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.150 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.150 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.150 * [backup-simplify]: Simplify phi1 into phi1 52.150 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.150 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.150 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 52.150 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 52.151 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 52.151 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 52.151 * [taylor]: Taking taylor expansion of 2/3 in lambda2 52.151 * [backup-simplify]: Simplify 2/3 into 2/3 52.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 52.151 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 52.151 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.151 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.151 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.151 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.151 * [backup-simplify]: Simplify 1/2 into 1/2 52.151 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.151 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.151 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.151 * [backup-simplify]: Simplify phi1 into phi1 52.151 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.151 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.151 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.151 * [backup-simplify]: Simplify phi2 into phi2 52.151 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.151 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.151 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.152 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.152 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.152 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.152 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.152 * [backup-simplify]: Simplify (- 0) into 0 52.153 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.153 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.153 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.153 * [backup-simplify]: Simplify phi1 into phi1 52.153 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.153 * [backup-simplify]: Simplify phi2 into phi2 52.153 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.153 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.153 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 52.154 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 52.154 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 52.154 * [taylor]: Taking taylor expansion of 1/9 in lambda2 52.154 * [backup-simplify]: Simplify 1/9 into 1/9 52.154 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 52.154 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.154 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.154 * [backup-simplify]: Simplify 0 into 0 52.154 * [backup-simplify]: Simplify 1 into 1 52.154 * [backup-simplify]: Simplify (* 1 1) into 1 52.155 * [backup-simplify]: Simplify (/ 1 1) into 1 52.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.155 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.155 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.155 * [backup-simplify]: Simplify 1/3 into 1/3 52.155 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.155 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.155 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.155 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.155 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.155 * [backup-simplify]: Simplify 1/2 into 1/2 52.155 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.155 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.155 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.155 * [backup-simplify]: Simplify phi1 into phi1 52.155 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.155 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.155 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.155 * [backup-simplify]: Simplify phi2 into phi2 52.155 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.155 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.155 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.156 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.156 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.156 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.156 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.156 * [backup-simplify]: Simplify (- 0) into 0 52.157 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.157 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.157 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.157 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.157 * [taylor]: Taking taylor expansion of 2 in lambda2 52.157 * [backup-simplify]: Simplify 2 into 2 52.157 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.157 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.157 * [backup-simplify]: Simplify lambda1 into lambda1 52.157 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.157 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.157 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.158 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.158 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.158 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.159 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 52.159 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 52.160 * [backup-simplify]: Simplify (- 1/9) into -1/9 52.160 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 52.160 * [backup-simplify]: Simplify (+ 0) into 0 52.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.162 * [backup-simplify]: Simplify (+ 0 0) into 0 52.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.163 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.164 * [backup-simplify]: Simplify (- 0) into 0 52.164 * [backup-simplify]: Simplify (+ 0 0) into 0 52.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.167 * [backup-simplify]: Simplify (- 0) into 0 52.167 * [backup-simplify]: Simplify (+ 0 0) into 0 52.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.171 * [backup-simplify]: Simplify (+ 0 0) into 0 52.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.174 * [backup-simplify]: Simplify (- 0) into 0 52.174 * [backup-simplify]: Simplify (+ 0 0) into 0 52.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.180 * [backup-simplify]: Simplify (- 0) into 0 52.180 * [backup-simplify]: Simplify (+ 0 0) into 0 52.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.185 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 52.186 * [backup-simplify]: Simplify (+ 0 0) into 0 52.186 * [backup-simplify]: Simplify (- 0) into 0 52.186 * [backup-simplify]: Simplify (+ 0 0) into 0 52.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.188 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.188 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 52.189 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 52.189 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 52.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.192 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 52.193 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 52.193 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.194 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.197 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.197 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 52.197 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) in phi1 52.197 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 52.197 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.197 * [backup-simplify]: Simplify 1/3 into 1/3 52.197 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 52.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.197 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.197 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.197 * [backup-simplify]: Simplify 1/3 into 1/3 52.197 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.197 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.197 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.197 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.197 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.197 * [backup-simplify]: Simplify 1/2 into 1/2 52.197 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.197 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.197 * [taylor]: Taking taylor expansion of phi1 in phi1 52.197 * [backup-simplify]: Simplify 0 into 0 52.197 * [backup-simplify]: Simplify 1 into 1 52.198 * [backup-simplify]: Simplify (/ 1 1) into 1 52.198 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.198 * [taylor]: Taking taylor expansion of phi2 in phi1 52.198 * [backup-simplify]: Simplify phi2 into phi2 52.198 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.198 * [backup-simplify]: Simplify (+ 1 0) into 1 52.198 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.198 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.199 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.199 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.199 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.199 * [taylor]: Taking taylor expansion of 2 in phi1 52.199 * [backup-simplify]: Simplify 2 into 2 52.199 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.199 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.199 * [backup-simplify]: Simplify lambda1 into lambda1 52.199 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.199 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.199 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.199 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.199 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.199 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.199 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 52.199 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.199 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.199 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.199 * [backup-simplify]: Simplify 1/2 into 1/2 52.199 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.199 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.199 * [taylor]: Taking taylor expansion of phi1 in phi1 52.199 * [backup-simplify]: Simplify 0 into 0 52.199 * [backup-simplify]: Simplify 1 into 1 52.200 * [backup-simplify]: Simplify (/ 1 1) into 1 52.200 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.200 * [taylor]: Taking taylor expansion of phi2 in phi1 52.200 * [backup-simplify]: Simplify phi2 into phi2 52.200 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.200 * [backup-simplify]: Simplify (+ 1 0) into 1 52.200 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.200 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.200 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.201 * [taylor]: Taking taylor expansion of phi1 in phi1 52.201 * [backup-simplify]: Simplify 0 into 0 52.201 * [backup-simplify]: Simplify 1 into 1 52.201 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.201 * [backup-simplify]: Simplify (* 1 1) into 1 52.201 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.201 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.201 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 52.201 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.201 * [backup-simplify]: Simplify 1/3 into 1/3 52.201 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 52.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.201 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.201 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.201 * [backup-simplify]: Simplify 1/3 into 1/3 52.201 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.202 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.202 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.202 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.202 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.202 * [backup-simplify]: Simplify 1/2 into 1/2 52.202 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.202 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.202 * [taylor]: Taking taylor expansion of phi1 in phi1 52.202 * [backup-simplify]: Simplify 0 into 0 52.202 * [backup-simplify]: Simplify 1 into 1 52.202 * [backup-simplify]: Simplify (/ 1 1) into 1 52.202 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.202 * [taylor]: Taking taylor expansion of phi2 in phi1 52.202 * [backup-simplify]: Simplify phi2 into phi2 52.202 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.202 * [backup-simplify]: Simplify (+ 1 0) into 1 52.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.203 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.203 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.203 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.203 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.203 * [taylor]: Taking taylor expansion of 2 in phi1 52.203 * [backup-simplify]: Simplify 2 into 2 52.203 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.203 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.203 * [backup-simplify]: Simplify lambda1 into lambda1 52.203 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.203 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.203 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.203 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.204 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.204 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.204 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 52.204 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.204 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.204 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.204 * [backup-simplify]: Simplify 1/2 into 1/2 52.204 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.204 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.204 * [taylor]: Taking taylor expansion of phi1 in phi1 52.204 * [backup-simplify]: Simplify 0 into 0 52.204 * [backup-simplify]: Simplify 1 into 1 52.206 * [backup-simplify]: Simplify (/ 1 1) into 1 52.206 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.206 * [taylor]: Taking taylor expansion of phi2 in phi1 52.206 * [backup-simplify]: Simplify phi2 into phi2 52.206 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.206 * [backup-simplify]: Simplify (+ 1 0) into 1 52.207 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.207 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.207 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.207 * [taylor]: Taking taylor expansion of phi2 in phi1 52.207 * [backup-simplify]: Simplify phi2 into phi2 52.207 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.207 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.207 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 52.208 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.208 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 52.208 * [taylor]: Taking taylor expansion of 2/3 in phi1 52.208 * [backup-simplify]: Simplify 2/3 into 2/3 52.208 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 52.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.208 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.208 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.208 * [backup-simplify]: Simplify 1/3 into 1/3 52.208 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.208 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.208 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.208 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.208 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.208 * [backup-simplify]: Simplify 1/2 into 1/2 52.208 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.208 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.208 * [taylor]: Taking taylor expansion of phi1 in phi1 52.208 * [backup-simplify]: Simplify 0 into 0 52.208 * [backup-simplify]: Simplify 1 into 1 52.208 * [backup-simplify]: Simplify (/ 1 1) into 1 52.208 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.208 * [taylor]: Taking taylor expansion of phi2 in phi1 52.208 * [backup-simplify]: Simplify phi2 into phi2 52.208 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.208 * [backup-simplify]: Simplify (+ 1 0) into 1 52.209 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.209 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.209 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.209 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.209 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.209 * [taylor]: Taking taylor expansion of 2 in phi1 52.209 * [backup-simplify]: Simplify 2 into 2 52.209 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.209 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.209 * [backup-simplify]: Simplify lambda1 into lambda1 52.209 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.209 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.209 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.209 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.210 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.210 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.210 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 52.210 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.210 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.210 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.210 * [backup-simplify]: Simplify 1/2 into 1/2 52.210 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.210 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.210 * [taylor]: Taking taylor expansion of phi1 in phi1 52.210 * [backup-simplify]: Simplify 0 into 0 52.210 * [backup-simplify]: Simplify 1 into 1 52.210 * [backup-simplify]: Simplify (/ 1 1) into 1 52.210 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.210 * [taylor]: Taking taylor expansion of phi2 in phi1 52.210 * [backup-simplify]: Simplify phi2 into phi2 52.210 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.211 * [backup-simplify]: Simplify (+ 1 0) into 1 52.211 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.211 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.211 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.211 * [taylor]: Taking taylor expansion of phi1 in phi1 52.211 * [backup-simplify]: Simplify 0 into 0 52.211 * [backup-simplify]: Simplify 1 into 1 52.211 * [taylor]: Taking taylor expansion of phi2 in phi1 52.211 * [backup-simplify]: Simplify phi2 into phi2 52.211 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.211 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.211 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 52.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.212 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.212 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 52.212 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 52.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.214 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.214 * [backup-simplify]: Simplify (- 0) into 0 52.214 * [backup-simplify]: Simplify (+ 0 0) into 0 52.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.215 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.218 * [backup-simplify]: Simplify (- 0) into 0 52.218 * [backup-simplify]: Simplify (+ 0 0) into 0 52.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.220 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.220 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.221 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.222 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.222 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.223 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 52.223 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.224 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.225 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.226 * [backup-simplify]: Simplify (+ 0 (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.229 * [backup-simplify]: Simplify (- 0) into 0 52.229 * [backup-simplify]: Simplify (+ 0 0) into 0 52.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 52.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.233 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 52.234 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 52.235 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 52.235 * [backup-simplify]: Simplify (- 0) into 0 52.236 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.236 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 52.236 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.236 * [backup-simplify]: Simplify 1/3 into 1/3 52.236 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 52.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 52.236 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 52.236 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.236 * [backup-simplify]: Simplify 1/3 into 1/3 52.236 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 52.236 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 52.237 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.237 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.237 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.237 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.237 * [backup-simplify]: Simplify 1/2 into 1/2 52.237 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.237 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.237 * [taylor]: Taking taylor expansion of phi1 in phi2 52.237 * [backup-simplify]: Simplify phi1 into phi1 52.237 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.237 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.237 * [taylor]: Taking taylor expansion of phi2 in phi2 52.237 * [backup-simplify]: Simplify 0 into 0 52.237 * [backup-simplify]: Simplify 1 into 1 52.237 * [backup-simplify]: Simplify (/ 1 1) into 1 52.238 * [backup-simplify]: Simplify (+ 0 1) into 1 52.238 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.238 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.239 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.239 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.239 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 52.239 * [taylor]: Taking taylor expansion of 2 in phi2 52.239 * [backup-simplify]: Simplify 2 into 2 52.239 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 52.239 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.239 * [backup-simplify]: Simplify lambda1 into lambda1 52.239 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.239 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.239 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.239 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.240 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.240 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.240 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 52.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.240 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.240 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.240 * [backup-simplify]: Simplify 1/2 into 1/2 52.240 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.240 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.240 * [taylor]: Taking taylor expansion of phi1 in phi2 52.240 * [backup-simplify]: Simplify phi1 into phi1 52.240 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.240 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.240 * [taylor]: Taking taylor expansion of phi2 in phi2 52.240 * [backup-simplify]: Simplify 0 into 0 52.240 * [backup-simplify]: Simplify 1 into 1 52.241 * [backup-simplify]: Simplify (/ 1 1) into 1 52.241 * [backup-simplify]: Simplify (+ 0 1) into 1 52.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.242 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.242 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.242 * [taylor]: Taking taylor expansion of phi2 in phi2 52.242 * [backup-simplify]: Simplify 0 into 0 52.242 * [backup-simplify]: Simplify 1 into 1 52.242 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.243 * [backup-simplify]: Simplify (* 1 1) into 1 52.243 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.243 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.243 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.246 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.246 * [backup-simplify]: Simplify (- 0) into 0 52.246 * [backup-simplify]: Simplify (+ 0 0) into 0 52.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.253 * [backup-simplify]: Simplify (- 0) into 0 52.253 * [backup-simplify]: Simplify (+ 0 0) into 0 52.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.256 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.259 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.259 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.260 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.261 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 52.262 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.263 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.265 * [backup-simplify]: Simplify 0 into 0 52.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.268 * [backup-simplify]: Simplify (+ 0 0) into 0 52.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.270 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.271 * [backup-simplify]: Simplify (- 0) into 0 52.271 * [backup-simplify]: Simplify (+ 0 0) into 0 52.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.277 * [backup-simplify]: Simplify (- 0) into 0 52.277 * [backup-simplify]: Simplify (+ 0 0) into 0 52.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.279 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.283 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 52.283 * [taylor]: Taking taylor expansion of 0 in phi1 52.283 * [backup-simplify]: Simplify 0 into 0 52.283 * [taylor]: Taking taylor expansion of 0 in phi2 52.283 * [backup-simplify]: Simplify 0 into 0 52.283 * [backup-simplify]: Simplify 0 into 0 52.284 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 52.285 * [backup-simplify]: Simplify (cbrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) 52.285 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 52.285 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi2 52.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi2 52.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi2 52.285 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.285 * [backup-simplify]: Simplify 1/3 into 1/3 52.285 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 52.286 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 52.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 52.286 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 52.286 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.286 * [taylor]: Taking taylor expansion of phi2 in phi2 52.286 * [backup-simplify]: Simplify 0 into 0 52.286 * [backup-simplify]: Simplify 1 into 1 52.286 * [backup-simplify]: Simplify (* 1 1) into 1 52.287 * [backup-simplify]: Simplify (/ 1 1) into 1 52.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 52.287 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 52.287 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 52.287 * [taylor]: Taking taylor expansion of phi1 in phi2 52.287 * [backup-simplify]: Simplify phi1 into phi1 52.287 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.287 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.287 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 52.287 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 52.287 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.287 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.287 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.287 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.287 * [backup-simplify]: Simplify -1/2 into -1/2 52.287 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.287 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.287 * [taylor]: Taking taylor expansion of phi1 in phi2 52.287 * [backup-simplify]: Simplify phi1 into phi1 52.287 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.287 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.287 * [taylor]: Taking taylor expansion of phi2 in phi2 52.287 * [backup-simplify]: Simplify 0 into 0 52.287 * [backup-simplify]: Simplify 1 into 1 52.288 * [backup-simplify]: Simplify (/ 1 1) into 1 52.288 * [backup-simplify]: Simplify (+ 0 1) into 1 52.289 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.289 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.289 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 52.289 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.289 * [backup-simplify]: Simplify lambda1 into lambda1 52.289 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.289 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.289 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.290 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 52.290 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.290 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.290 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.290 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.290 * [backup-simplify]: Simplify -1/2 into -1/2 52.290 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.290 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.290 * [taylor]: Taking taylor expansion of phi1 in phi2 52.290 * [backup-simplify]: Simplify phi1 into phi1 52.290 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.290 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.290 * [taylor]: Taking taylor expansion of phi2 in phi2 52.290 * [backup-simplify]: Simplify 0 into 0 52.290 * [backup-simplify]: Simplify 1 into 1 52.290 * [backup-simplify]: Simplify (/ 1 1) into 1 52.291 * [backup-simplify]: Simplify (+ 0 1) into 1 52.291 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.291 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.291 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 52.291 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.291 * [backup-simplify]: Simplify lambda2 into lambda2 52.292 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.292 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.292 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.292 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 52.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 52.292 * [taylor]: Taking taylor expansion of 2 in phi2 52.292 * [backup-simplify]: Simplify 2 into 2 52.292 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 52.292 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 52.292 * [taylor]: Taking taylor expansion of phi1 in phi2 52.292 * [backup-simplify]: Simplify phi1 into phi1 52.292 * [taylor]: Taking taylor expansion of phi2 in phi2 52.292 * [backup-simplify]: Simplify 0 into 0 52.292 * [backup-simplify]: Simplify 1 into 1 52.292 * [backup-simplify]: Simplify (* phi1 0) into 0 52.293 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 52.293 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.293 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 52.293 * [taylor]: Taking taylor expansion of 2 in phi2 52.293 * [backup-simplify]: Simplify 2 into 2 52.293 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 52.293 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.293 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.293 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.293 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.293 * [backup-simplify]: Simplify -1/2 into -1/2 52.293 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.293 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.293 * [taylor]: Taking taylor expansion of phi1 in phi2 52.293 * [backup-simplify]: Simplify phi1 into phi1 52.293 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.293 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.293 * [taylor]: Taking taylor expansion of phi2 in phi2 52.293 * [backup-simplify]: Simplify 0 into 0 52.293 * [backup-simplify]: Simplify 1 into 1 52.293 * [backup-simplify]: Simplify (/ 1 1) into 1 52.294 * [backup-simplify]: Simplify (+ 0 1) into 1 52.294 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.294 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.294 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 52.294 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.294 * [backup-simplify]: Simplify lambda1 into lambda1 52.295 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.295 * [backup-simplify]: Simplify lambda2 into lambda2 52.295 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.295 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 52.295 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 52.295 * [backup-simplify]: Simplify (+ 1 0) into 1 52.296 * [backup-simplify]: Simplify (+ 1 0) into 1 52.296 * [backup-simplify]: Simplify (log 1) into 0 52.297 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 52.297 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 52.297 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 52.297 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi1 52.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi1 52.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi1 52.297 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.297 * [backup-simplify]: Simplify 1/3 into 1/3 52.297 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 52.297 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 52.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 52.297 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 52.297 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.297 * [taylor]: Taking taylor expansion of phi2 in phi1 52.297 * [backup-simplify]: Simplify phi2 into phi2 52.297 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.297 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 52.297 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 52.297 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.298 * [taylor]: Taking taylor expansion of phi1 in phi1 52.298 * [backup-simplify]: Simplify 0 into 0 52.298 * [backup-simplify]: Simplify 1 into 1 52.298 * [backup-simplify]: Simplify (* 1 1) into 1 52.298 * [backup-simplify]: Simplify (/ 1 1) into 1 52.298 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 52.298 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 52.298 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.298 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.298 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.298 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.298 * [backup-simplify]: Simplify -1/2 into -1/2 52.299 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.299 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.299 * [taylor]: Taking taylor expansion of phi1 in phi1 52.299 * [backup-simplify]: Simplify 0 into 0 52.299 * [backup-simplify]: Simplify 1 into 1 52.299 * [backup-simplify]: Simplify (/ 1 1) into 1 52.299 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.299 * [taylor]: Taking taylor expansion of phi2 in phi1 52.299 * [backup-simplify]: Simplify phi2 into phi2 52.299 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.300 * [backup-simplify]: Simplify (+ 1 0) into 1 52.300 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.300 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.300 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 52.300 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.300 * [backup-simplify]: Simplify lambda1 into lambda1 52.301 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.301 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.301 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.301 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 52.301 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.301 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.301 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.301 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.301 * [backup-simplify]: Simplify -1/2 into -1/2 52.301 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.301 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.301 * [taylor]: Taking taylor expansion of phi1 in phi1 52.301 * [backup-simplify]: Simplify 0 into 0 52.301 * [backup-simplify]: Simplify 1 into 1 52.302 * [backup-simplify]: Simplify (/ 1 1) into 1 52.302 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.302 * [taylor]: Taking taylor expansion of phi2 in phi1 52.302 * [backup-simplify]: Simplify phi2 into phi2 52.302 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.302 * [backup-simplify]: Simplify (+ 1 0) into 1 52.303 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.303 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.303 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 52.303 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.303 * [backup-simplify]: Simplify lambda2 into lambda2 52.303 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.303 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.303 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.304 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 52.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 52.304 * [taylor]: Taking taylor expansion of 2 in phi1 52.304 * [backup-simplify]: Simplify 2 into 2 52.304 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 52.304 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.304 * [taylor]: Taking taylor expansion of phi1 in phi1 52.304 * [backup-simplify]: Simplify 0 into 0 52.304 * [backup-simplify]: Simplify 1 into 1 52.304 * [taylor]: Taking taylor expansion of phi2 in phi1 52.304 * [backup-simplify]: Simplify phi2 into phi2 52.304 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.304 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.304 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.304 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 52.304 * [taylor]: Taking taylor expansion of 2 in phi1 52.304 * [backup-simplify]: Simplify 2 into 2 52.304 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 52.304 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.305 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.305 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.305 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.305 * [backup-simplify]: Simplify -1/2 into -1/2 52.305 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.305 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.305 * [taylor]: Taking taylor expansion of phi1 in phi1 52.305 * [backup-simplify]: Simplify 0 into 0 52.305 * [backup-simplify]: Simplify 1 into 1 52.305 * [backup-simplify]: Simplify (/ 1 1) into 1 52.305 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.305 * [taylor]: Taking taylor expansion of phi2 in phi1 52.305 * [backup-simplify]: Simplify phi2 into phi2 52.305 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.306 * [backup-simplify]: Simplify (+ 1 0) into 1 52.306 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.306 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.306 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 52.306 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.306 * [backup-simplify]: Simplify lambda1 into lambda1 52.306 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.306 * [backup-simplify]: Simplify lambda2 into lambda2 52.307 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.307 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 52.307 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 52.307 * [backup-simplify]: Simplify (+ 1 0) into 1 52.308 * [backup-simplify]: Simplify (+ 0 1) into 1 52.308 * [backup-simplify]: Simplify (+ 1 0) into 1 52.309 * [backup-simplify]: Simplify (log 1) into 0 52.309 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 52.309 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 52.309 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 52.309 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda2 52.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda2 52.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda2 52.309 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.309 * [backup-simplify]: Simplify 1/3 into 1/3 52.309 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 52.309 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 52.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 52.310 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 52.310 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.310 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.310 * [backup-simplify]: Simplify phi2 into phi2 52.310 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.310 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 52.310 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 52.310 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.310 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.310 * [backup-simplify]: Simplify phi1 into phi1 52.310 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.310 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.310 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 52.310 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 52.310 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.310 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.310 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.310 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.310 * [backup-simplify]: Simplify -1/2 into -1/2 52.310 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.310 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.310 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.310 * [backup-simplify]: Simplify phi1 into phi1 52.310 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.310 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.310 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.310 * [backup-simplify]: Simplify phi2 into phi2 52.310 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.311 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.311 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.311 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.311 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.311 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.311 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.312 * [backup-simplify]: Simplify (- 0) into 0 52.312 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.312 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 52.312 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.312 * [backup-simplify]: Simplify lambda1 into lambda1 52.312 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.312 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.313 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.313 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 52.313 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.313 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.313 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.313 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.313 * [backup-simplify]: Simplify -1/2 into -1/2 52.313 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.313 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.313 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.313 * [backup-simplify]: Simplify phi1 into phi1 52.313 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.313 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.313 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.313 * [backup-simplify]: Simplify phi2 into phi2 52.313 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.313 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.313 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.313 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.314 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.314 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.314 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.314 * [backup-simplify]: Simplify (- 0) into 0 52.314 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.315 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.315 * [backup-simplify]: Simplify 0 into 0 52.315 * [backup-simplify]: Simplify 1 into 1 52.315 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.315 * [backup-simplify]: Simplify (* 1 1) into 1 52.315 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.315 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 52.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 52.316 * [taylor]: Taking taylor expansion of 2 in lambda2 52.316 * [backup-simplify]: Simplify 2 into 2 52.316 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 52.316 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.316 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.316 * [backup-simplify]: Simplify phi1 into phi1 52.316 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.316 * [backup-simplify]: Simplify phi2 into phi2 52.316 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.316 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.316 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 52.316 * [taylor]: Taking taylor expansion of 2 in lambda2 52.316 * [backup-simplify]: Simplify 2 into 2 52.316 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 52.316 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.316 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.316 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.316 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.316 * [backup-simplify]: Simplify -1/2 into -1/2 52.316 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.316 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.316 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.316 * [backup-simplify]: Simplify phi1 into phi1 52.316 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.316 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.316 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.316 * [backup-simplify]: Simplify phi2 into phi2 52.316 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.316 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.317 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.317 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.317 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.317 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.317 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.318 * [backup-simplify]: Simplify (- 0) into 0 52.318 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.318 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 52.318 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.318 * [backup-simplify]: Simplify lambda1 into lambda1 52.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.318 * [backup-simplify]: Simplify 0 into 0 52.318 * [backup-simplify]: Simplify 1 into 1 52.318 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.318 * [backup-simplify]: Simplify (* lambda1 0) into 0 52.319 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 52.319 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 52.319 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.319 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.320 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.320 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.320 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.321 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 52.321 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 52.321 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 52.321 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 52.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 52.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 52.321 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.321 * [backup-simplify]: Simplify 1/3 into 1/3 52.321 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 52.321 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 52.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 52.321 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.321 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.322 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.322 * [backup-simplify]: Simplify phi2 into phi2 52.322 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.322 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 52.322 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.322 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.322 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.322 * [backup-simplify]: Simplify phi1 into phi1 52.322 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.322 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.322 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 52.322 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.322 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.322 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.322 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.322 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.322 * [backup-simplify]: Simplify -1/2 into -1/2 52.322 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.322 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.322 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.322 * [backup-simplify]: Simplify phi1 into phi1 52.322 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.322 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.322 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.322 * [backup-simplify]: Simplify phi2 into phi2 52.322 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.323 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.323 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.323 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.323 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.323 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.323 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.324 * [backup-simplify]: Simplify (- 0) into 0 52.324 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.324 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.324 * [backup-simplify]: Simplify 0 into 0 52.324 * [backup-simplify]: Simplify 1 into 1 52.324 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.325 * [backup-simplify]: Simplify (* 1 1) into 1 52.325 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.325 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.325 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.325 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.325 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.325 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.325 * [backup-simplify]: Simplify -1/2 into -1/2 52.325 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.325 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.325 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.325 * [backup-simplify]: Simplify phi1 into phi1 52.325 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.325 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.325 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.325 * [backup-simplify]: Simplify phi2 into phi2 52.325 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.325 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.325 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.325 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.326 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.326 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.326 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.326 * [backup-simplify]: Simplify (- 0) into 0 52.327 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.327 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.327 * [backup-simplify]: Simplify lambda2 into lambda2 52.327 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.327 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.327 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.327 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 52.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.327 * [taylor]: Taking taylor expansion of 2 in lambda1 52.327 * [backup-simplify]: Simplify 2 into 2 52.327 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.327 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.327 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.327 * [backup-simplify]: Simplify phi1 into phi1 52.327 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.327 * [backup-simplify]: Simplify phi2 into phi2 52.328 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.328 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.328 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 52.328 * [taylor]: Taking taylor expansion of 2 in lambda1 52.328 * [backup-simplify]: Simplify 2 into 2 52.328 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 52.328 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.328 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.328 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.328 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.328 * [backup-simplify]: Simplify -1/2 into -1/2 52.328 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.328 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.328 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.328 * [backup-simplify]: Simplify phi1 into phi1 52.328 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.328 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.328 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.328 * [backup-simplify]: Simplify phi2 into phi2 52.328 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.328 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.328 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.328 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.329 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.329 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.329 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.329 * [backup-simplify]: Simplify (- 0) into 0 52.329 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.330 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 52.330 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.330 * [backup-simplify]: Simplify 0 into 0 52.330 * [backup-simplify]: Simplify 1 into 1 52.330 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.330 * [backup-simplify]: Simplify lambda2 into lambda2 52.330 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.330 * [backup-simplify]: Simplify (* 0 lambda2) into 0 52.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 52.331 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.331 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.331 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.331 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.331 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.332 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.332 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.332 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.333 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.333 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 52.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 52.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 52.333 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.333 * [backup-simplify]: Simplify 1/3 into 1/3 52.333 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 52.333 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 52.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 52.333 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.333 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.333 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.333 * [backup-simplify]: Simplify phi2 into phi2 52.333 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.333 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 52.333 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.333 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.334 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.334 * [backup-simplify]: Simplify phi1 into phi1 52.334 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.334 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.334 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 52.334 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.334 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.334 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.334 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.334 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.334 * [backup-simplify]: Simplify -1/2 into -1/2 52.334 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.334 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.334 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.334 * [backup-simplify]: Simplify phi1 into phi1 52.334 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.334 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.334 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.334 * [backup-simplify]: Simplify phi2 into phi2 52.334 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.334 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.334 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.335 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.335 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.335 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.335 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.335 * [backup-simplify]: Simplify (- 0) into 0 52.336 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.336 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.336 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.336 * [backup-simplify]: Simplify 0 into 0 52.336 * [backup-simplify]: Simplify 1 into 1 52.336 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.338 * [backup-simplify]: Simplify (* 1 1) into 1 52.339 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.339 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.339 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.339 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.339 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.339 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.339 * [backup-simplify]: Simplify -1/2 into -1/2 52.339 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.339 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.339 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.339 * [backup-simplify]: Simplify phi1 into phi1 52.339 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.339 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.339 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.339 * [backup-simplify]: Simplify phi2 into phi2 52.339 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.339 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.339 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.339 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.340 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.340 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.340 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.340 * [backup-simplify]: Simplify (- 0) into 0 52.341 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.341 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.341 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.341 * [backup-simplify]: Simplify lambda2 into lambda2 52.341 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.341 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.341 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.341 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 52.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.341 * [taylor]: Taking taylor expansion of 2 in lambda1 52.341 * [backup-simplify]: Simplify 2 into 2 52.341 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.342 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.342 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.342 * [backup-simplify]: Simplify phi1 into phi1 52.342 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.342 * [backup-simplify]: Simplify phi2 into phi2 52.342 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.342 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.342 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 52.342 * [taylor]: Taking taylor expansion of 2 in lambda1 52.342 * [backup-simplify]: Simplify 2 into 2 52.342 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 52.342 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.342 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.342 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.342 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.342 * [backup-simplify]: Simplify -1/2 into -1/2 52.342 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.342 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.342 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.342 * [backup-simplify]: Simplify phi1 into phi1 52.342 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.342 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.342 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.342 * [backup-simplify]: Simplify phi2 into phi2 52.342 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.342 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.343 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.343 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.343 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.343 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.343 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.344 * [backup-simplify]: Simplify (- 0) into 0 52.344 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.344 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 52.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.344 * [backup-simplify]: Simplify 0 into 0 52.344 * [backup-simplify]: Simplify 1 into 1 52.344 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.344 * [backup-simplify]: Simplify lambda2 into lambda2 52.344 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.344 * [backup-simplify]: Simplify (* 0 lambda2) into 0 52.345 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 52.345 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.345 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.345 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.346 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.346 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.346 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.347 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.347 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.347 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.347 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.347 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.347 * [backup-simplify]: Simplify 1/3 into 1/3 52.347 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.347 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.347 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.347 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.348 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.348 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.348 * [backup-simplify]: Simplify -1/2 into -1/2 52.348 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.348 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.348 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.348 * [backup-simplify]: Simplify phi1 into phi1 52.348 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.348 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.348 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.348 * [backup-simplify]: Simplify phi2 into phi2 52.348 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.348 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.348 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.348 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.348 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.348 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.349 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.349 * [backup-simplify]: Simplify (- 0) into 0 52.349 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.349 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.350 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.350 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.350 * [taylor]: Taking taylor expansion of 2 in lambda2 52.350 * [backup-simplify]: Simplify 2 into 2 52.350 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.350 * [backup-simplify]: Simplify lambda1 into lambda1 52.350 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.350 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.350 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.350 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.351 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.351 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.351 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.351 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.351 * [backup-simplify]: Simplify 1/3 into 1/3 52.351 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.351 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.351 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.351 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.351 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.351 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.351 * [backup-simplify]: Simplify -1/2 into -1/2 52.351 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.351 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.351 * [taylor]: Taking taylor expansion of phi1 in phi1 52.351 * [backup-simplify]: Simplify 0 into 0 52.351 * [backup-simplify]: Simplify 1 into 1 52.352 * [backup-simplify]: Simplify (/ 1 1) into 1 52.352 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.352 * [taylor]: Taking taylor expansion of phi2 in phi1 52.352 * [backup-simplify]: Simplify phi2 into phi2 52.352 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.352 * [backup-simplify]: Simplify (+ 1 0) into 1 52.353 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.353 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.353 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.353 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.353 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.353 * [taylor]: Taking taylor expansion of 2 in phi1 52.353 * [backup-simplify]: Simplify 2 into 2 52.353 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.353 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.353 * [backup-simplify]: Simplify lambda1 into lambda1 52.353 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.354 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.354 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.354 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.354 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.354 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 52.354 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 52.354 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.354 * [backup-simplify]: Simplify 1/3 into 1/3 52.354 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 52.355 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 52.355 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.355 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.355 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.355 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.355 * [backup-simplify]: Simplify -1/2 into -1/2 52.355 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.355 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.355 * [taylor]: Taking taylor expansion of phi1 in phi2 52.355 * [backup-simplify]: Simplify phi1 into phi1 52.355 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.355 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.355 * [taylor]: Taking taylor expansion of phi2 in phi2 52.355 * [backup-simplify]: Simplify 0 into 0 52.355 * [backup-simplify]: Simplify 1 into 1 52.355 * [backup-simplify]: Simplify (/ 1 1) into 1 52.356 * [backup-simplify]: Simplify (+ 0 1) into 1 52.356 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.356 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.357 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.357 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.357 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 52.357 * [taylor]: Taking taylor expansion of 2 in phi2 52.357 * [backup-simplify]: Simplify 2 into 2 52.357 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 52.357 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.357 * [backup-simplify]: Simplify lambda1 into lambda1 52.357 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.357 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.357 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.358 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.358 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.358 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.358 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.359 * [backup-simplify]: Simplify (+ 0) into 0 52.360 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.360 * [backup-simplify]: Simplify (+ 0 0) into 0 52.361 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.362 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.362 * [backup-simplify]: Simplify (- 0) into 0 52.363 * [backup-simplify]: Simplify (+ 0 0) into 0 52.363 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 52.365 * [backup-simplify]: Simplify (+ 0 0) into 0 52.366 * [backup-simplify]: Simplify (+ 0 0) into 0 52.366 * [backup-simplify]: Simplify (+ 0 0) into 0 52.366 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 52.367 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 52.367 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 52.367 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 52.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 52.369 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.369 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 52.370 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 52.370 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 52.370 * [taylor]: Taking taylor expansion of -2/3 in lambda2 52.370 * [backup-simplify]: Simplify -2/3 into -2/3 52.370 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 52.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.370 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.370 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.370 * [backup-simplify]: Simplify 1/3 into 1/3 52.370 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.370 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.370 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.370 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.370 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.370 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.370 * [backup-simplify]: Simplify -1/2 into -1/2 52.370 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.370 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.370 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.370 * [backup-simplify]: Simplify phi1 into phi1 52.371 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.371 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.371 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.371 * [backup-simplify]: Simplify phi2 into phi2 52.371 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.371 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.371 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.371 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.371 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.371 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.372 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.372 * [backup-simplify]: Simplify (- 0) into 0 52.372 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.373 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.373 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.373 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.373 * [taylor]: Taking taylor expansion of 2 in lambda2 52.373 * [backup-simplify]: Simplify 2 into 2 52.373 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.373 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.373 * [backup-simplify]: Simplify lambda1 into lambda1 52.373 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.373 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.374 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.374 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.374 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.374 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.374 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.374 * [backup-simplify]: Simplify 0 into 0 52.374 * [backup-simplify]: Simplify 1 into 1 52.375 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.375 * [backup-simplify]: Simplify (+ 0) into 0 52.376 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.376 * [backup-simplify]: Simplify (+ 0 0) into 0 52.377 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.378 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.378 * [backup-simplify]: Simplify (- 0) into 0 52.379 * [backup-simplify]: Simplify (+ 0 0) into 0 52.379 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.381 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.382 * [backup-simplify]: Simplify (- 0) into 0 52.382 * [backup-simplify]: Simplify (+ 0 0) into 0 52.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.384 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 52.385 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 52.386 * [taylor]: Taking taylor expansion of 0 in phi1 52.386 * [backup-simplify]: Simplify 0 into 0 52.386 * [taylor]: Taking taylor expansion of 0 in phi2 52.386 * [backup-simplify]: Simplify 0 into 0 52.386 * [backup-simplify]: Simplify 0 into 0 52.386 * [backup-simplify]: Simplify (+ 0) into 0 52.387 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.387 * [backup-simplify]: Simplify (+ 0 0) into 0 52.388 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.389 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.389 * [backup-simplify]: Simplify (- 0) into 0 52.390 * [backup-simplify]: Simplify (+ 0 0) into 0 52.390 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.393 * [backup-simplify]: Simplify (- 0) into 0 52.393 * [backup-simplify]: Simplify (+ 0 0) into 0 52.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.395 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.395 * [taylor]: Taking taylor expansion of 0 in phi1 52.395 * [backup-simplify]: Simplify 0 into 0 52.395 * [taylor]: Taking taylor expansion of 0 in phi2 52.395 * [backup-simplify]: Simplify 0 into 0 52.395 * [backup-simplify]: Simplify 0 into 0 52.395 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.397 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.398 * [backup-simplify]: Simplify (- 0) into 0 52.398 * [backup-simplify]: Simplify (+ 0 0) into 0 52.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.400 * [taylor]: Taking taylor expansion of 0 in phi2 52.400 * [backup-simplify]: Simplify 0 into 0 52.400 * [backup-simplify]: Simplify 0 into 0 52.400 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.402 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.403 * [backup-simplify]: Simplify (- 0) into 0 52.403 * [backup-simplify]: Simplify (+ 0 0) into 0 52.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.405 * [backup-simplify]: Simplify 0 into 0 52.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.407 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.407 * [backup-simplify]: Simplify (+ 0 0) into 0 52.408 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.410 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.410 * [backup-simplify]: Simplify (- 0) into 0 52.410 * [backup-simplify]: Simplify (+ 0 0) into 0 52.411 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.414 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.414 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 52.415 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 52.415 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 52.415 * [backup-simplify]: Simplify (+ 0) into 0 52.416 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.416 * [backup-simplify]: Simplify (+ 0 0) into 0 52.417 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.418 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.418 * [backup-simplify]: Simplify (- 0) into 0 52.419 * [backup-simplify]: Simplify (+ 0 0) into 0 52.419 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 52.420 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 52.421 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 52.421 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 52.421 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 52.422 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 52.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 52.424 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.426 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 52.428 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) 52.428 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) in lambda2 52.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.428 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.428 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.428 * [backup-simplify]: Simplify 1/3 into 1/3 52.428 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.428 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.428 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.428 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.428 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.428 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.428 * [backup-simplify]: Simplify -1/2 into -1/2 52.428 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.428 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.429 * [backup-simplify]: Simplify phi1 into phi1 52.429 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.429 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.429 * [backup-simplify]: Simplify phi2 into phi2 52.429 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.429 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.429 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.429 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.429 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.429 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.429 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.430 * [backup-simplify]: Simplify (- 0) into 0 52.430 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.430 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.430 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.431 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.431 * [taylor]: Taking taylor expansion of 2 in lambda2 52.431 * [backup-simplify]: Simplify 2 into 2 52.431 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.431 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.431 * [backup-simplify]: Simplify lambda1 into lambda1 52.431 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.431 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.431 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.431 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.431 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.432 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 52.432 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 52.432 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 52.432 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.432 * [backup-simplify]: Simplify 1/3 into 1/3 52.432 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 52.432 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 52.432 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.432 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.432 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.432 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.432 * [backup-simplify]: Simplify -1/2 into -1/2 52.432 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.432 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.432 * [backup-simplify]: Simplify phi1 into phi1 52.432 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.432 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.432 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.432 * [backup-simplify]: Simplify phi2 into phi2 52.432 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.432 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.432 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.433 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.433 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.433 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.433 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.434 * [backup-simplify]: Simplify (- 0) into 0 52.434 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.434 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.434 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.434 * [backup-simplify]: Simplify phi2 into phi2 52.434 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.434 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.435 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 52.435 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.435 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 52.435 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.435 * [backup-simplify]: Simplify 1/3 into 1/3 52.435 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 52.435 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 52.435 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.435 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.435 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.435 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.435 * [backup-simplify]: Simplify -1/2 into -1/2 52.435 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.435 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.435 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.435 * [backup-simplify]: Simplify phi1 into phi1 52.436 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.436 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.436 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.436 * [backup-simplify]: Simplify phi2 into phi2 52.436 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.436 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.436 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.436 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.436 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.436 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.437 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.437 * [backup-simplify]: Simplify (- 0) into 0 52.437 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.437 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.437 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.437 * [backup-simplify]: Simplify phi1 into phi1 52.438 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.438 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.438 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 52.438 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 52.438 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 52.438 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 52.438 * [taylor]: Taking taylor expansion of 2/3 in lambda2 52.438 * [backup-simplify]: Simplify 2/3 into 2/3 52.438 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 52.438 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 52.438 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.438 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.438 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.438 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.438 * [backup-simplify]: Simplify -1/2 into -1/2 52.438 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.439 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.439 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.439 * [backup-simplify]: Simplify phi1 into phi1 52.439 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.439 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.439 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.439 * [backup-simplify]: Simplify phi2 into phi2 52.439 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.439 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.439 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.439 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.439 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.439 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.440 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.440 * [backup-simplify]: Simplify (- 0) into 0 52.440 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.440 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.440 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.440 * [backup-simplify]: Simplify phi1 into phi1 52.440 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.440 * [backup-simplify]: Simplify phi2 into phi2 52.440 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.441 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.441 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 52.441 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 52.441 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 52.441 * [taylor]: Taking taylor expansion of 1/9 in lambda2 52.441 * [backup-simplify]: Simplify 1/9 into 1/9 52.441 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 52.441 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.441 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.441 * [backup-simplify]: Simplify 0 into 0 52.441 * [backup-simplify]: Simplify 1 into 1 52.442 * [backup-simplify]: Simplify (* 1 1) into 1 52.442 * [backup-simplify]: Simplify (/ 1 1) into 1 52.442 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.443 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 52.443 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 52.444 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 52.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.448 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 52.448 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 52.448 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.449 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.449 * [backup-simplify]: Simplify (+ 0) into 0 52.450 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.450 * [backup-simplify]: Simplify (+ 0 0) into 0 52.450 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.451 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.451 * [backup-simplify]: Simplify (- 0) into 0 52.452 * [backup-simplify]: Simplify (+ 0 0) into 0 52.452 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.453 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.453 * [backup-simplify]: Simplify (- 0) into 0 52.454 * [backup-simplify]: Simplify (+ 0 0) into 0 52.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.455 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 52.455 * [backup-simplify]: Simplify (+ 0 0) into 0 52.456 * [backup-simplify]: Simplify (- 0) into 0 52.456 * [backup-simplify]: Simplify (+ 0 0) into 0 52.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.457 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.457 * [backup-simplify]: Simplify (+ 0 0) into 0 52.458 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.459 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.459 * [backup-simplify]: Simplify (- 0) into 0 52.459 * [backup-simplify]: Simplify (+ 0 0) into 0 52.459 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.462 * [backup-simplify]: Simplify (- 0) into 0 52.463 * [backup-simplify]: Simplify (+ 0 0) into 0 52.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.464 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 52.465 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 52.467 * [backup-simplify]: Simplify (- 1/9) into -1/9 52.467 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 52.468 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) (+ (* 0 0) (* 0 -1/9))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.468 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 52.469 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in phi1 52.469 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 52.469 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.469 * [backup-simplify]: Simplify 1/3 into 1/3 52.469 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 52.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.469 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.469 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.469 * [backup-simplify]: Simplify 1/3 into 1/3 52.469 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.469 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.469 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.469 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.469 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.469 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.469 * [backup-simplify]: Simplify -1/2 into -1/2 52.469 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.469 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.469 * [taylor]: Taking taylor expansion of phi1 in phi1 52.469 * [backup-simplify]: Simplify 0 into 0 52.469 * [backup-simplify]: Simplify 1 into 1 52.469 * [backup-simplify]: Simplify (/ 1 1) into 1 52.469 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.469 * [taylor]: Taking taylor expansion of phi2 in phi1 52.469 * [backup-simplify]: Simplify phi2 into phi2 52.469 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.469 * [backup-simplify]: Simplify (+ 1 0) into 1 52.470 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.470 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.470 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.470 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.470 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.470 * [taylor]: Taking taylor expansion of 2 in phi1 52.470 * [backup-simplify]: Simplify 2 into 2 52.470 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.470 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.470 * [backup-simplify]: Simplify lambda1 into lambda1 52.470 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.470 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.470 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.470 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.471 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.471 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.471 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 52.471 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.471 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.471 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.471 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.471 * [backup-simplify]: Simplify -1/2 into -1/2 52.471 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.471 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.471 * [taylor]: Taking taylor expansion of phi1 in phi1 52.471 * [backup-simplify]: Simplify 0 into 0 52.471 * [backup-simplify]: Simplify 1 into 1 52.471 * [backup-simplify]: Simplify (/ 1 1) into 1 52.471 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.471 * [taylor]: Taking taylor expansion of phi2 in phi1 52.471 * [backup-simplify]: Simplify phi2 into phi2 52.471 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.472 * [backup-simplify]: Simplify (+ 1 0) into 1 52.472 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.472 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.472 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.472 * [taylor]: Taking taylor expansion of phi2 in phi1 52.472 * [backup-simplify]: Simplify phi2 into phi2 52.472 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.472 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.472 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 52.473 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.473 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 52.473 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.473 * [backup-simplify]: Simplify 1/3 into 1/3 52.473 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 52.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.473 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.473 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.473 * [backup-simplify]: Simplify 1/3 into 1/3 52.473 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.473 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.473 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.473 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.473 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.473 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.473 * [backup-simplify]: Simplify -1/2 into -1/2 52.473 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.473 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.473 * [taylor]: Taking taylor expansion of phi1 in phi1 52.473 * [backup-simplify]: Simplify 0 into 0 52.473 * [backup-simplify]: Simplify 1 into 1 52.473 * [backup-simplify]: Simplify (/ 1 1) into 1 52.473 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.473 * [taylor]: Taking taylor expansion of phi2 in phi1 52.473 * [backup-simplify]: Simplify phi2 into phi2 52.473 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.473 * [backup-simplify]: Simplify (+ 1 0) into 1 52.474 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.474 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.474 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.474 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.474 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.474 * [taylor]: Taking taylor expansion of 2 in phi1 52.474 * [backup-simplify]: Simplify 2 into 2 52.474 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.474 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.474 * [backup-simplify]: Simplify lambda1 into lambda1 52.474 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.474 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.474 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.474 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.475 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.475 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.475 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 52.475 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.475 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.475 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.475 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.475 * [backup-simplify]: Simplify -1/2 into -1/2 52.475 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.475 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.475 * [taylor]: Taking taylor expansion of phi1 in phi1 52.475 * [backup-simplify]: Simplify 0 into 0 52.475 * [backup-simplify]: Simplify 1 into 1 52.475 * [backup-simplify]: Simplify (/ 1 1) into 1 52.475 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.475 * [taylor]: Taking taylor expansion of phi2 in phi1 52.475 * [backup-simplify]: Simplify phi2 into phi2 52.475 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.476 * [backup-simplify]: Simplify (+ 1 0) into 1 52.476 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.476 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.476 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.476 * [taylor]: Taking taylor expansion of phi1 in phi1 52.476 * [backup-simplify]: Simplify 0 into 0 52.476 * [backup-simplify]: Simplify 1 into 1 52.476 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.476 * [backup-simplify]: Simplify (* 1 1) into 1 52.476 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.477 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.477 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 52.477 * [taylor]: Taking taylor expansion of 2/3 in phi1 52.477 * [backup-simplify]: Simplify 2/3 into 2/3 52.477 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 52.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.477 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.477 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.477 * [backup-simplify]: Simplify 1/3 into 1/3 52.477 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.477 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.477 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.477 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.477 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.477 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.477 * [backup-simplify]: Simplify -1/2 into -1/2 52.477 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.477 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.477 * [taylor]: Taking taylor expansion of phi1 in phi1 52.477 * [backup-simplify]: Simplify 0 into 0 52.477 * [backup-simplify]: Simplify 1 into 1 52.477 * [backup-simplify]: Simplify (/ 1 1) into 1 52.477 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.477 * [taylor]: Taking taylor expansion of phi2 in phi1 52.477 * [backup-simplify]: Simplify phi2 into phi2 52.477 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.478 * [backup-simplify]: Simplify (+ 1 0) into 1 52.478 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.478 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.478 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.478 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.478 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.478 * [taylor]: Taking taylor expansion of 2 in phi1 52.478 * [backup-simplify]: Simplify 2 into 2 52.478 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.478 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.478 * [backup-simplify]: Simplify lambda1 into lambda1 52.478 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.478 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.479 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.479 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.479 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.479 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.479 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 52.479 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.479 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.479 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.479 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.479 * [backup-simplify]: Simplify -1/2 into -1/2 52.479 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.479 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.479 * [taylor]: Taking taylor expansion of phi1 in phi1 52.479 * [backup-simplify]: Simplify 0 into 0 52.479 * [backup-simplify]: Simplify 1 into 1 52.479 * [backup-simplify]: Simplify (/ 1 1) into 1 52.479 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.479 * [taylor]: Taking taylor expansion of phi2 in phi1 52.479 * [backup-simplify]: Simplify phi2 into phi2 52.479 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.480 * [backup-simplify]: Simplify (+ 1 0) into 1 52.480 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.480 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.480 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.480 * [taylor]: Taking taylor expansion of phi1 in phi1 52.480 * [backup-simplify]: Simplify 0 into 0 52.480 * [backup-simplify]: Simplify 1 into 1 52.480 * [taylor]: Taking taylor expansion of phi2 in phi1 52.480 * [backup-simplify]: Simplify phi2 into phi2 52.480 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.480 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.480 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 52.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.481 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.482 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 52.482 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 52.483 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.483 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.485 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.486 * [backup-simplify]: Simplify (- 0) into 0 52.486 * [backup-simplify]: Simplify (+ 0 0) into 0 52.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.487 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.491 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.492 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.492 * [backup-simplify]: Simplify (- 0) into 0 52.492 * [backup-simplify]: Simplify (+ 0 0) into 0 52.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.496 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.498 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.499 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.500 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.500 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 52.501 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.502 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.504 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.504 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.507 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.507 * [backup-simplify]: Simplify (- 0) into 0 52.507 * [backup-simplify]: Simplify (+ 0 0) into 0 52.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 52.511 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.511 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 52.512 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 52.513 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 52.513 * [backup-simplify]: Simplify (- 0) into 0 52.515 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.515 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 52.515 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.515 * [backup-simplify]: Simplify 1/3 into 1/3 52.515 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 52.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 52.515 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 52.515 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.515 * [backup-simplify]: Simplify 1/3 into 1/3 52.515 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 52.515 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 52.515 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.515 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.515 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.515 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.515 * [backup-simplify]: Simplify -1/2 into -1/2 52.515 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.515 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.515 * [taylor]: Taking taylor expansion of phi1 in phi2 52.515 * [backup-simplify]: Simplify phi1 into phi1 52.515 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.515 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.515 * [taylor]: Taking taylor expansion of phi2 in phi2 52.515 * [backup-simplify]: Simplify 0 into 0 52.515 * [backup-simplify]: Simplify 1 into 1 52.516 * [backup-simplify]: Simplify (/ 1 1) into 1 52.516 * [backup-simplify]: Simplify (+ 0 1) into 1 52.517 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.517 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.517 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.517 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.517 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 52.517 * [taylor]: Taking taylor expansion of 2 in phi2 52.517 * [backup-simplify]: Simplify 2 into 2 52.517 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 52.517 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.517 * [backup-simplify]: Simplify lambda1 into lambda1 52.517 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.518 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.518 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.518 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.518 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.518 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.518 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 52.519 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.519 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.519 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.519 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.519 * [backup-simplify]: Simplify -1/2 into -1/2 52.519 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.519 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.519 * [taylor]: Taking taylor expansion of phi1 in phi2 52.519 * [backup-simplify]: Simplify phi1 into phi1 52.519 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.519 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.519 * [taylor]: Taking taylor expansion of phi2 in phi2 52.519 * [backup-simplify]: Simplify 0 into 0 52.519 * [backup-simplify]: Simplify 1 into 1 52.519 * [backup-simplify]: Simplify (/ 1 1) into 1 52.520 * [backup-simplify]: Simplify (+ 0 1) into 1 52.520 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.520 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.520 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.520 * [taylor]: Taking taylor expansion of phi2 in phi2 52.521 * [backup-simplify]: Simplify 0 into 0 52.521 * [backup-simplify]: Simplify 1 into 1 52.521 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.521 * [backup-simplify]: Simplify (* 1 1) into 1 52.521 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.522 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.522 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.524 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.525 * [backup-simplify]: Simplify (- 0) into 0 52.525 * [backup-simplify]: Simplify (+ 0 0) into 0 52.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.527 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.531 * [backup-simplify]: Simplify (- 0) into 0 52.532 * [backup-simplify]: Simplify (+ 0 0) into 0 52.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.536 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.537 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.538 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.539 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.540 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 52.540 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.541 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.543 * [backup-simplify]: Simplify 0 into 0 52.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.547 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.548 * [backup-simplify]: Simplify (+ 0 0) into 0 52.549 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.549 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.550 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.551 * [backup-simplify]: Simplify (- 0) into 0 52.551 * [backup-simplify]: Simplify (+ 0 0) into 0 52.552 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.556 * [backup-simplify]: Simplify (- 0) into 0 52.557 * [backup-simplify]: Simplify (+ 0 0) into 0 52.558 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.562 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 52.562 * [taylor]: Taking taylor expansion of 0 in phi1 52.562 * [backup-simplify]: Simplify 0 into 0 52.562 * [taylor]: Taking taylor expansion of 0 in phi2 52.562 * [backup-simplify]: Simplify 0 into 0 52.562 * [backup-simplify]: Simplify 0 into 0 52.562 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 52.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 52.563 * [backup-simplify]: Simplify (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) 52.563 * [approximate]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 52.563 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi2 52.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi2 52.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi2 52.564 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.564 * [backup-simplify]: Simplify 1/3 into 1/3 52.564 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 52.564 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 52.564 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 52.564 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 52.564 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 52.564 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 52.564 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 52.564 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.564 * [backup-simplify]: Simplify 1/2 into 1/2 52.564 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 52.564 * [taylor]: Taking taylor expansion of phi1 in phi2 52.564 * [backup-simplify]: Simplify phi1 into phi1 52.564 * [taylor]: Taking taylor expansion of phi2 in phi2 52.564 * [backup-simplify]: Simplify 0 into 0 52.564 * [backup-simplify]: Simplify 1 into 1 52.564 * [backup-simplify]: Simplify (+ phi1 0) into phi1 52.564 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 52.564 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 52.564 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 52.564 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 52.564 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 52.565 * [backup-simplify]: Simplify (- 0) into 0 52.565 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 52.565 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 52.565 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.565 * [backup-simplify]: Simplify lambda1 into lambda1 52.565 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 52.565 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.565 * [taylor]: Taking taylor expansion of phi2 in phi2 52.565 * [backup-simplify]: Simplify 0 into 0 52.565 * [backup-simplify]: Simplify 1 into 1 52.565 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 52.565 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 52.565 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 52.565 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.565 * [backup-simplify]: Simplify lambda2 into lambda2 52.565 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 52.565 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 52.565 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 52.565 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.565 * [backup-simplify]: Simplify 1/2 into 1/2 52.565 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 52.565 * [taylor]: Taking taylor expansion of phi1 in phi2 52.565 * [backup-simplify]: Simplify phi1 into phi1 52.565 * [taylor]: Taking taylor expansion of phi2 in phi2 52.565 * [backup-simplify]: Simplify 0 into 0 52.566 * [backup-simplify]: Simplify 1 into 1 52.566 * [backup-simplify]: Simplify (+ phi1 0) into phi1 52.566 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 52.566 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 52.566 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 52.566 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 52.566 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 52.566 * [backup-simplify]: Simplify (- 0) into 0 52.566 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 52.566 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 52.566 * [taylor]: Taking taylor expansion of phi1 in phi2 52.566 * [backup-simplify]: Simplify phi1 into phi1 52.566 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 52.567 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 52.567 * [taylor]: Taking taylor expansion of 2 in phi2 52.567 * [backup-simplify]: Simplify 2 into 2 52.567 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 52.567 * [taylor]: Taking taylor expansion of phi1 in phi2 52.567 * [backup-simplify]: Simplify phi1 into phi1 52.567 * [taylor]: Taking taylor expansion of phi2 in phi2 52.567 * [backup-simplify]: Simplify 0 into 0 52.567 * [backup-simplify]: Simplify 1 into 1 52.567 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 52.567 * [taylor]: Taking taylor expansion of 2 in phi2 52.567 * [backup-simplify]: Simplify 2 into 2 52.567 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 52.567 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 52.567 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 52.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 52.567 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.567 * [backup-simplify]: Simplify 1/2 into 1/2 52.567 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 52.567 * [taylor]: Taking taylor expansion of phi1 in phi2 52.567 * [backup-simplify]: Simplify phi1 into phi1 52.567 * [taylor]: Taking taylor expansion of phi2 in phi2 52.567 * [backup-simplify]: Simplify 0 into 0 52.567 * [backup-simplify]: Simplify 1 into 1 52.567 * [backup-simplify]: Simplify (+ phi1 0) into phi1 52.567 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 52.567 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 52.567 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 52.567 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 52.567 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 52.568 * [backup-simplify]: Simplify (- 0) into 0 52.568 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 52.568 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 52.568 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.568 * [backup-simplify]: Simplify lambda2 into lambda2 52.568 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.568 * [backup-simplify]: Simplify lambda1 into lambda1 52.568 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 52.568 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.568 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 52.568 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.569 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 52.569 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 52.569 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.569 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 52.569 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 52.570 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 52.570 * [backup-simplify]: Simplify (* phi1 0) into 0 52.570 * [backup-simplify]: Simplify (* 2 0) into 0 52.571 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 52.571 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 52.571 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 52.571 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 52.571 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 52.571 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 52.572 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 52.573 * [backup-simplify]: Simplify (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 52.574 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) into (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) 52.575 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (pow (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1/3) 52.575 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi1 52.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi1 52.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi1 52.576 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.576 * [backup-simplify]: Simplify 1/3 into 1/3 52.576 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 52.576 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 52.576 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 52.576 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 52.576 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 52.576 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 52.576 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 52.576 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.576 * [backup-simplify]: Simplify 1/2 into 1/2 52.576 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 52.576 * [taylor]: Taking taylor expansion of phi1 in phi1 52.576 * [backup-simplify]: Simplify 0 into 0 52.576 * [backup-simplify]: Simplify 1 into 1 52.576 * [taylor]: Taking taylor expansion of phi2 in phi1 52.576 * [backup-simplify]: Simplify phi2 into phi2 52.576 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 52.576 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 52.576 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 52.576 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 52.576 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 52.576 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 52.577 * [backup-simplify]: Simplify (- 0) into 0 52.577 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 52.577 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 52.577 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.577 * [backup-simplify]: Simplify lambda1 into lambda1 52.577 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 52.577 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.577 * [taylor]: Taking taylor expansion of phi2 in phi1 52.577 * [backup-simplify]: Simplify phi2 into phi2 52.577 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 52.577 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 52.577 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 52.577 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.577 * [backup-simplify]: Simplify lambda2 into lambda2 52.577 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 52.577 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 52.577 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 52.577 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.577 * [backup-simplify]: Simplify 1/2 into 1/2 52.577 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 52.577 * [taylor]: Taking taylor expansion of phi1 in phi1 52.577 * [backup-simplify]: Simplify 0 into 0 52.577 * [backup-simplify]: Simplify 1 into 1 52.577 * [taylor]: Taking taylor expansion of phi2 in phi1 52.578 * [backup-simplify]: Simplify phi2 into phi2 52.578 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 52.578 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 52.578 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 52.578 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 52.578 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 52.578 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 52.578 * [backup-simplify]: Simplify (- 0) into 0 52.578 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 52.578 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.578 * [taylor]: Taking taylor expansion of phi1 in phi1 52.578 * [backup-simplify]: Simplify 0 into 0 52.578 * [backup-simplify]: Simplify 1 into 1 52.579 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 52.579 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 52.579 * [taylor]: Taking taylor expansion of 2 in phi1 52.579 * [backup-simplify]: Simplify 2 into 2 52.579 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.579 * [taylor]: Taking taylor expansion of phi1 in phi1 52.579 * [backup-simplify]: Simplify 0 into 0 52.579 * [backup-simplify]: Simplify 1 into 1 52.579 * [taylor]: Taking taylor expansion of phi2 in phi1 52.579 * [backup-simplify]: Simplify phi2 into phi2 52.579 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 52.579 * [taylor]: Taking taylor expansion of 2 in phi1 52.579 * [backup-simplify]: Simplify 2 into 2 52.579 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 52.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 52.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 52.579 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 52.579 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.579 * [backup-simplify]: Simplify 1/2 into 1/2 52.579 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 52.579 * [taylor]: Taking taylor expansion of phi1 in phi1 52.579 * [backup-simplify]: Simplify 0 into 0 52.579 * [backup-simplify]: Simplify 1 into 1 52.579 * [taylor]: Taking taylor expansion of phi2 in phi1 52.579 * [backup-simplify]: Simplify phi2 into phi2 52.579 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 52.579 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 52.579 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 52.579 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 52.579 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 52.579 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 52.580 * [backup-simplify]: Simplify (- 0) into 0 52.580 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 52.580 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 52.580 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.580 * [backup-simplify]: Simplify lambda2 into lambda2 52.580 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.580 * [backup-simplify]: Simplify lambda1 into lambda1 52.580 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 52.580 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 52.580 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.581 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.581 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 52.581 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 52.581 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 52.581 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 52.582 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 52.582 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.582 * [backup-simplify]: Simplify (* 2 0) into 0 52.582 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 52.583 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 52.583 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 52.583 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 52.583 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 52.583 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 52.584 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 52.585 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 52.586 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) 52.587 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (pow (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1/3) 52.587 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 52.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda2 52.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda2 52.588 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.588 * [backup-simplify]: Simplify 1/3 into 1/3 52.588 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 52.588 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 52.588 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 52.588 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 52.588 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.588 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.588 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.588 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.588 * [backup-simplify]: Simplify 1/2 into 1/2 52.588 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.588 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.588 * [backup-simplify]: Simplify phi1 into phi1 52.588 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.588 * [backup-simplify]: Simplify phi2 into phi2 52.588 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.588 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.588 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.588 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.588 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.588 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.589 * [backup-simplify]: Simplify (- 0) into 0 52.589 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.589 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 52.589 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.589 * [backup-simplify]: Simplify lambda1 into lambda1 52.589 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.589 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.589 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.589 * [backup-simplify]: Simplify phi2 into phi2 52.589 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.589 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.589 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.589 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.589 * [backup-simplify]: Simplify 0 into 0 52.589 * [backup-simplify]: Simplify 1 into 1 52.589 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.590 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.590 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.590 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.590 * [backup-simplify]: Simplify 1/2 into 1/2 52.590 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.590 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.590 * [backup-simplify]: Simplify phi1 into phi1 52.590 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.590 * [backup-simplify]: Simplify phi2 into phi2 52.590 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.590 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.590 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.590 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.590 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.590 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.591 * [backup-simplify]: Simplify (- 0) into 0 52.591 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.591 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.591 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.591 * [backup-simplify]: Simplify phi1 into phi1 52.591 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 52.591 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.591 * [taylor]: Taking taylor expansion of 2 in lambda2 52.591 * [backup-simplify]: Simplify 2 into 2 52.591 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.591 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.591 * [backup-simplify]: Simplify phi1 into phi1 52.591 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.591 * [backup-simplify]: Simplify phi2 into phi2 52.591 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 52.591 * [taylor]: Taking taylor expansion of 2 in lambda2 52.591 * [backup-simplify]: Simplify 2 into 2 52.591 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 52.591 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.591 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.591 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.591 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.591 * [backup-simplify]: Simplify 1/2 into 1/2 52.591 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.591 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.591 * [backup-simplify]: Simplify phi1 into phi1 52.591 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.591 * [backup-simplify]: Simplify phi2 into phi2 52.591 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.592 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.592 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.592 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.592 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.592 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.592 * [backup-simplify]: Simplify (- 0) into 0 52.592 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.592 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 52.592 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.593 * [backup-simplify]: Simplify 0 into 0 52.593 * [backup-simplify]: Simplify 1 into 1 52.593 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.593 * [backup-simplify]: Simplify lambda1 into lambda1 52.593 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.593 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.593 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 52.593 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.593 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.593 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.593 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.594 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 52.594 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.594 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.594 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.594 * [backup-simplify]: Simplify (* 0 lambda1) into 0 52.594 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 52.595 * [backup-simplify]: Simplify (* 2 0) into 0 52.595 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 52.595 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.595 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 52.596 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 52.597 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) 52.597 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1/3) 52.598 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 52.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 52.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 52.598 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.598 * [backup-simplify]: Simplify 1/3 into 1/3 52.598 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 52.598 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 52.598 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 52.598 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 52.598 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 52.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 52.598 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 52.598 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.598 * [backup-simplify]: Simplify 1/2 into 1/2 52.598 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 52.598 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.598 * [backup-simplify]: Simplify phi1 into phi1 52.598 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.598 * [backup-simplify]: Simplify phi2 into phi2 52.598 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.598 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.598 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.598 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.598 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.599 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.601 * [backup-simplify]: Simplify (- 0) into 0 52.601 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.601 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.602 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.602 * [backup-simplify]: Simplify 0 into 0 52.602 * [backup-simplify]: Simplify 1 into 1 52.602 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 52.602 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.602 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.602 * [backup-simplify]: Simplify phi2 into phi2 52.602 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 52.602 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 52.602 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.602 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.602 * [backup-simplify]: Simplify lambda2 into lambda2 52.602 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 52.602 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 52.602 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 52.602 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.602 * [backup-simplify]: Simplify 1/2 into 1/2 52.602 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 52.602 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.602 * [backup-simplify]: Simplify phi1 into phi1 52.602 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.602 * [backup-simplify]: Simplify phi2 into phi2 52.602 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.602 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.602 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.602 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.602 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.603 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.603 * [backup-simplify]: Simplify (- 0) into 0 52.603 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.603 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.603 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.603 * [backup-simplify]: Simplify phi1 into phi1 52.603 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 52.603 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 52.603 * [taylor]: Taking taylor expansion of 2 in lambda1 52.603 * [backup-simplify]: Simplify 2 into 2 52.603 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.603 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.603 * [backup-simplify]: Simplify phi1 into phi1 52.603 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.603 * [backup-simplify]: Simplify phi2 into phi2 52.603 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 52.604 * [taylor]: Taking taylor expansion of 2 in lambda1 52.604 * [backup-simplify]: Simplify 2 into 2 52.604 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 52.604 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 52.604 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 52.604 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 52.604 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.604 * [backup-simplify]: Simplify 1/2 into 1/2 52.604 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 52.604 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.604 * [backup-simplify]: Simplify phi1 into phi1 52.604 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.604 * [backup-simplify]: Simplify phi2 into phi2 52.604 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.604 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.604 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.604 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.604 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.604 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.605 * [backup-simplify]: Simplify (- 0) into 0 52.605 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.605 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 52.605 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.605 * [backup-simplify]: Simplify lambda2 into lambda2 52.605 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.605 * [backup-simplify]: Simplify 0 into 0 52.605 * [backup-simplify]: Simplify 1 into 1 52.605 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.605 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.605 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.605 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 52.605 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.606 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 52.606 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 52.607 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 52.607 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.607 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.607 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.607 * [backup-simplify]: Simplify (* lambda2 0) into 0 52.607 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 52.608 * [backup-simplify]: Simplify (* 2 0) into 0 52.608 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 52.608 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.609 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 52.609 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 52.610 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 52.611 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 52.611 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 52.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 52.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 52.611 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.611 * [backup-simplify]: Simplify 1/3 into 1/3 52.611 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 52.611 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 52.611 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 52.611 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 52.611 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 52.611 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 52.611 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 52.611 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.611 * [backup-simplify]: Simplify 1/2 into 1/2 52.611 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 52.611 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.611 * [backup-simplify]: Simplify phi1 into phi1 52.611 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.611 * [backup-simplify]: Simplify phi2 into phi2 52.611 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.611 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.612 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.612 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.612 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.612 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.612 * [backup-simplify]: Simplify (- 0) into 0 52.612 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.612 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.613 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.613 * [backup-simplify]: Simplify 0 into 0 52.613 * [backup-simplify]: Simplify 1 into 1 52.613 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 52.613 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.613 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.613 * [backup-simplify]: Simplify phi2 into phi2 52.613 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 52.613 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 52.613 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.613 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.613 * [backup-simplify]: Simplify lambda2 into lambda2 52.613 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 52.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 52.613 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 52.613 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.613 * [backup-simplify]: Simplify 1/2 into 1/2 52.613 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 52.613 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.613 * [backup-simplify]: Simplify phi1 into phi1 52.613 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.613 * [backup-simplify]: Simplify phi2 into phi2 52.613 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.613 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.613 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.613 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.613 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.614 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.614 * [backup-simplify]: Simplify (- 0) into 0 52.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.614 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.614 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.614 * [backup-simplify]: Simplify phi1 into phi1 52.614 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 52.614 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 52.614 * [taylor]: Taking taylor expansion of 2 in lambda1 52.614 * [backup-simplify]: Simplify 2 into 2 52.614 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.614 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.614 * [backup-simplify]: Simplify phi1 into phi1 52.614 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.614 * [backup-simplify]: Simplify phi2 into phi2 52.614 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 52.614 * [taylor]: Taking taylor expansion of 2 in lambda1 52.614 * [backup-simplify]: Simplify 2 into 2 52.614 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 52.614 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 52.614 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 52.614 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 52.615 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.615 * [backup-simplify]: Simplify 1/2 into 1/2 52.615 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 52.615 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.615 * [backup-simplify]: Simplify phi1 into phi1 52.615 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.615 * [backup-simplify]: Simplify phi2 into phi2 52.615 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.615 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.615 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.615 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.615 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.615 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.615 * [backup-simplify]: Simplify (- 0) into 0 52.616 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.616 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 52.616 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.616 * [backup-simplify]: Simplify lambda2 into lambda2 52.616 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.616 * [backup-simplify]: Simplify 0 into 0 52.616 * [backup-simplify]: Simplify 1 into 1 52.616 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.616 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.616 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.616 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 52.616 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.617 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 52.617 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 52.618 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 52.618 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.618 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.618 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.618 * [backup-simplify]: Simplify (* lambda2 0) into 0 52.618 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 52.619 * [backup-simplify]: Simplify (* 2 0) into 0 52.619 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 52.619 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.619 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 52.620 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 52.621 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 52.621 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 52.622 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 52.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 52.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 52.622 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.622 * [backup-simplify]: Simplify 1/3 into 1/3 52.622 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 52.622 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.622 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.622 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.622 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.622 * [backup-simplify]: Simplify phi2 into phi2 52.622 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.622 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.622 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.622 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.622 * [backup-simplify]: Simplify 0 into 0 52.622 * [backup-simplify]: Simplify 1 into 1 52.622 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.622 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.622 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.622 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.622 * [backup-simplify]: Simplify 1/2 into 1/2 52.622 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.622 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.622 * [backup-simplify]: Simplify phi1 into phi1 52.622 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.622 * [backup-simplify]: Simplify phi2 into phi2 52.623 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.623 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.623 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.623 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.623 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.623 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.624 * [backup-simplify]: Simplify (- 0) into 0 52.624 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.624 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.624 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.624 * [backup-simplify]: Simplify phi1 into phi1 52.624 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.624 * [taylor]: Taking taylor expansion of 2 in lambda2 52.624 * [backup-simplify]: Simplify 2 into 2 52.624 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.624 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.624 * [backup-simplify]: Simplify phi1 into phi1 52.624 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.624 * [backup-simplify]: Simplify phi2 into phi2 52.624 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.624 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.624 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.624 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.624 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.625 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.625 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.625 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.625 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 52.625 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.626 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 52.626 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) in phi1 52.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 52.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 52.626 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.626 * [backup-simplify]: Simplify 1/3 into 1/3 52.626 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 52.626 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 52.626 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 52.626 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.626 * [taylor]: Taking taylor expansion of phi2 in phi1 52.626 * [backup-simplify]: Simplify phi2 into phi2 52.626 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.626 * [taylor]: Taking taylor expansion of phi1 in phi1 52.626 * [backup-simplify]: Simplify 0 into 0 52.626 * [backup-simplify]: Simplify 1 into 1 52.626 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 52.626 * [taylor]: Taking taylor expansion of 2 in phi1 52.626 * [backup-simplify]: Simplify 2 into 2 52.626 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.626 * [taylor]: Taking taylor expansion of phi1 in phi1 52.626 * [backup-simplify]: Simplify 0 into 0 52.626 * [backup-simplify]: Simplify 1 into 1 52.626 * [taylor]: Taking taylor expansion of phi2 in phi1 52.626 * [backup-simplify]: Simplify phi2 into phi2 52.627 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.627 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 52.627 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.627 * [backup-simplify]: Simplify (* 2 0) into 0 52.628 * [backup-simplify]: Simplify (- 0) into 0 52.628 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 52.628 * [backup-simplify]: Simplify (log (pow phi2 2)) into (log (pow phi2 2)) 52.628 * [backup-simplify]: Simplify (* 1/3 (log (pow phi2 2))) into (* 1/3 (log (pow phi2 2))) 52.628 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow phi2 2)))) into (pow (pow phi2 2) 1/3) 52.628 * [taylor]: Taking taylor expansion of (pow (pow phi2 2) 1/3) in phi2 52.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow phi2 2)))) in phi2 52.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow phi2 2))) in phi2 52.628 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.628 * [backup-simplify]: Simplify 1/3 into 1/3 52.628 * [taylor]: Taking taylor expansion of (log (pow phi2 2)) in phi2 52.628 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.628 * [taylor]: Taking taylor expansion of phi2 in phi2 52.628 * [backup-simplify]: Simplify 0 into 0 52.628 * [backup-simplify]: Simplify 1 into 1 52.629 * [backup-simplify]: Simplify (* 1 1) into 1 52.629 * [backup-simplify]: Simplify (log 1) into 0 52.630 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 52.630 * [backup-simplify]: Simplify (* 1/3 (* 2 (log phi2))) into (* 2/3 (log phi2)) 52.630 * [backup-simplify]: Simplify (exp (* 2/3 (log phi2))) into (pow phi2 2/3) 52.630 * [backup-simplify]: Simplify (pow phi2 2/3) into (pow phi2 2/3) 52.630 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 52.631 * [backup-simplify]: Simplify (+ 0) into 0 52.631 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 52.632 * [backup-simplify]: Simplify (+ 0 0) into 0 52.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 52.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.633 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 52.634 * [backup-simplify]: Simplify (- 0) into 0 52.634 * [backup-simplify]: Simplify (+ 0 0) into 0 52.634 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 52.634 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 52.635 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 52.635 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 52.635 * [backup-simplify]: Simplify (+ 0 0) into 0 52.635 * [backup-simplify]: Simplify (+ 0 0) into 0 52.636 * [backup-simplify]: Simplify (+ 0 0) into 0 52.636 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 52.636 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 52.637 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 52.637 * [backup-simplify]: Simplify (+ 0) into 0 52.638 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 52.638 * [backup-simplify]: Simplify (+ 0 0) into 0 52.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 52.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.640 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 52.640 * [backup-simplify]: Simplify (- 0) into 0 52.641 * [backup-simplify]: Simplify (+ 0 0) into 0 52.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 52.641 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 52.642 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 52.642 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 52.643 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 52.643 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 52.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 1) into (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 52.646 * [backup-simplify]: Simplify (+ (* 1/3 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 52.648 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 1) 1)))) into (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) 52.648 * [taylor]: Taking taylor expansion of (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) in lambda2 52.648 * [taylor]: Taking taylor expansion of -2/3 in lambda2 52.648 * [backup-simplify]: Simplify -2/3 into -2/3 52.648 * [taylor]: Taking taylor expansion of (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3)) in lambda2 52.648 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 52.648 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.648 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.648 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.648 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.648 * [backup-simplify]: Simplify 1/2 into 1/2 52.648 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.648 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.648 * [backup-simplify]: Simplify phi1 into phi1 52.648 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.648 * [backup-simplify]: Simplify phi2 into phi2 52.648 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.649 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.649 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.649 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.649 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.649 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.649 * [backup-simplify]: Simplify (- 0) into 0 52.650 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.650 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.650 * [backup-simplify]: Simplify 0 into 0 52.650 * [backup-simplify]: Simplify 1 into 1 52.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3) in lambda2 52.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 52.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 52.650 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.650 * [backup-simplify]: Simplify 1/3 into 1/3 52.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 52.650 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 52.650 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 52.650 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.650 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.650 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.650 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.650 * [backup-simplify]: Simplify phi2 into phi2 52.650 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.650 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.650 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.650 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.650 * [backup-simplify]: Simplify 0 into 0 52.650 * [backup-simplify]: Simplify 1 into 1 52.650 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.650 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.650 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.650 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.650 * [backup-simplify]: Simplify 1/2 into 1/2 52.650 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.650 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.650 * [backup-simplify]: Simplify phi1 into phi1 52.650 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.650 * [backup-simplify]: Simplify phi2 into phi2 52.651 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.651 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.651 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.651 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.651 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.651 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.651 * [backup-simplify]: Simplify (- 0) into 0 52.651 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.652 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.652 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.652 * [backup-simplify]: Simplify phi1 into phi1 52.652 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.652 * [taylor]: Taking taylor expansion of 2 in lambda2 52.652 * [backup-simplify]: Simplify 2 into 2 52.652 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.652 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.652 * [backup-simplify]: Simplify phi1 into phi1 52.652 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.652 * [backup-simplify]: Simplify phi2 into phi2 52.652 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.652 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.652 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.652 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.652 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.652 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.652 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.653 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.653 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 52.653 * [backup-simplify]: Simplify (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 52.654 * [backup-simplify]: Simplify (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) into (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) 52.654 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) into (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) 52.655 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) into (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) 52.655 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.655 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 52.656 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) into 0 52.656 * [backup-simplify]: Simplify (* -2/3 0) into 0 52.656 * [taylor]: Taking taylor expansion of 0 in phi1 52.656 * [backup-simplify]: Simplify 0 into 0 52.656 * [taylor]: Taking taylor expansion of 0 in phi2 52.656 * [backup-simplify]: Simplify 0 into 0 52.656 * [backup-simplify]: Simplify 0 into 0 52.656 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 52.656 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 52.657 * [backup-simplify]: Simplify (+ 0 0) into 0 52.657 * [backup-simplify]: Simplify (+ 0 0) into 0 52.657 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 52.658 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 52.658 * [backup-simplify]: Simplify (- 0) into 0 52.659 * [backup-simplify]: Simplify (+ 0 0) into 0 52.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1)))) 1) into 0 52.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 52.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.661 * [taylor]: Taking taylor expansion of 0 in phi1 52.661 * [backup-simplify]: Simplify 0 into 0 52.661 * [taylor]: Taking taylor expansion of 0 in phi2 52.661 * [backup-simplify]: Simplify 0 into 0 52.661 * [backup-simplify]: Simplify 0 into 0 52.662 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 52.662 * [backup-simplify]: Simplify (+ 0 0) into 0 52.662 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.663 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 52.663 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 52.663 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 52.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 phi2))) 1)) (pow (pow phi2 2) 1)))) 1) into (/ -2 phi2) 52.663 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 phi2)) (* 0 (log (pow phi2 2)))) into (- (* 2/3 (/ 1 phi2))) 52.664 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow phi2 2)))) (+ (* (/ (pow (- (* 2/3 (/ 1 phi2))) 1) 1)))) into (* -2/3 (pow (/ 1 phi2) 1/3)) 52.664 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ 1 phi2) 1/3)) in phi2 52.664 * [taylor]: Taking taylor expansion of -2/3 in phi2 52.664 * [backup-simplify]: Simplify -2/3 into -2/3 52.664 * [taylor]: Taking taylor expansion of (pow (/ 1 phi2) 1/3) in phi2 52.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 phi2)))) in phi2 52.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 phi2))) in phi2 52.664 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.664 * [backup-simplify]: Simplify 1/3 into 1/3 52.664 * [taylor]: Taking taylor expansion of (log (/ 1 phi2)) in phi2 52.664 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.664 * [taylor]: Taking taylor expansion of phi2 in phi2 52.664 * [backup-simplify]: Simplify 0 into 0 52.664 * [backup-simplify]: Simplify 1 into 1 52.664 * [backup-simplify]: Simplify (/ 1 1) into 1 52.665 * [backup-simplify]: Simplify (log 1) into 0 52.665 * [backup-simplify]: Simplify (+ (* (- 1) (log phi2)) 0) into (- (log phi2)) 52.665 * [backup-simplify]: Simplify (* 1/3 (- (log phi2))) into (* -1/3 (log phi2)) 52.665 * [backup-simplify]: Simplify (exp (* -1/3 (log phi2))) into (pow phi2 -1/3) 52.665 * [backup-simplify]: Simplify (* -2/3 (pow phi2 -1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 52.666 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 phi2) 1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 52.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 52.668 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 52.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log phi2)))) into 0 52.669 * [backup-simplify]: Simplify (* (exp (* 2/3 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 52.669 * [backup-simplify]: Simplify 0 into 0 52.670 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.670 * [backup-simplify]: Simplify (* 1 1) into 1 52.670 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.671 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 52.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 52.673 * [backup-simplify]: Simplify (+ 0 0) into 0 52.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 52.674 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.674 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 52.674 * [backup-simplify]: Simplify (- 0) into 0 52.674 * [backup-simplify]: Simplify (+ 0 0) into 0 52.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 52.675 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 52.675 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 52.676 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 52.676 * [backup-simplify]: Simplify (+ 0 0) into 0 52.676 * [backup-simplify]: Simplify (+ 0 0) into 0 52.676 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.677 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 52.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 52.677 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 52.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 52.679 * [backup-simplify]: Simplify (+ 0 0) into 0 52.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 52.680 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.680 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 52.680 * [backup-simplify]: Simplify (- 0) into 0 52.680 * [backup-simplify]: Simplify (+ 0 0) into 0 52.681 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 52.681 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 52.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 52.682 * [backup-simplify]: Simplify (+ 0 0) into 0 52.682 * [backup-simplify]: Simplify (- 0) into 0 52.682 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 2) into (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 52.686 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))))) (+ (* 0 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) into (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 52.688 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 2) 2)) (* (/ (pow (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 1) 1)))) into (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 52.688 * [taylor]: Taking taylor expansion of (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 52.688 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 52.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 52.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 52.689 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.689 * [backup-simplify]: Simplify 1/3 into 1/3 52.689 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 52.689 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.689 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.689 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.689 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.689 * [backup-simplify]: Simplify phi2 into phi2 52.689 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.689 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.689 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.689 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.689 * [backup-simplify]: Simplify 0 into 0 52.689 * [backup-simplify]: Simplify 1 into 1 52.689 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.689 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.689 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.689 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.689 * [backup-simplify]: Simplify 1/2 into 1/2 52.689 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.689 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.689 * [backup-simplify]: Simplify phi1 into phi1 52.689 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.689 * [backup-simplify]: Simplify phi2 into phi2 52.689 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.689 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.689 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.689 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.689 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.689 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.690 * [backup-simplify]: Simplify (- 0) into 0 52.690 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.690 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.690 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.690 * [backup-simplify]: Simplify phi1 into phi1 52.690 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.690 * [taylor]: Taking taylor expansion of 2 in lambda2 52.690 * [backup-simplify]: Simplify 2 into 2 52.690 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.690 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.690 * [backup-simplify]: Simplify phi1 into phi1 52.690 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.690 * [backup-simplify]: Simplify phi2 into phi2 52.690 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.690 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.690 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.690 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.690 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.690 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.690 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.690 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.690 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 52.691 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.691 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 52.691 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 52.691 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 52.691 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.691 * [backup-simplify]: Simplify 1/3 into 1/3 52.691 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 52.691 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.691 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.691 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.691 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.691 * [backup-simplify]: Simplify 1/2 into 1/2 52.691 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.691 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.691 * [backup-simplify]: Simplify phi1 into phi1 52.691 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.691 * [backup-simplify]: Simplify phi2 into phi2 52.691 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.691 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.691 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.691 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.691 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.691 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.692 * [backup-simplify]: Simplify (- 0) into 0 52.692 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.692 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.692 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.692 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.692 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.692 * [backup-simplify]: Simplify phi2 into phi2 52.692 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.692 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.692 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.692 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.692 * [backup-simplify]: Simplify 0 into 0 52.692 * [backup-simplify]: Simplify 1 into 1 52.692 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.692 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.692 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.692 * [backup-simplify]: Simplify 1/2 into 1/2 52.692 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.692 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.692 * [backup-simplify]: Simplify phi1 into phi1 52.692 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.692 * [backup-simplify]: Simplify phi2 into phi2 52.692 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.692 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.692 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.692 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.692 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.692 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.693 * [backup-simplify]: Simplify (- 0) into 0 52.693 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.693 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.693 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.693 * [backup-simplify]: Simplify phi1 into phi1 52.693 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.693 * [taylor]: Taking taylor expansion of 2 in lambda2 52.693 * [backup-simplify]: Simplify 2 into 2 52.693 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.693 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.693 * [backup-simplify]: Simplify phi1 into phi1 52.693 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.693 * [backup-simplify]: Simplify phi2 into phi2 52.693 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.693 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.693 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.693 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.693 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.693 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.693 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.693 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.693 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.694 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 52.694 * [taylor]: Taking taylor expansion of (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 52.694 * [taylor]: Taking taylor expansion of 4/9 in lambda2 52.694 * [backup-simplify]: Simplify 4/9 into 4/9 52.694 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 52.694 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 52.694 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.694 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.694 * [backup-simplify]: Simplify 0 into 0 52.694 * [backup-simplify]: Simplify 1 into 1 52.694 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 52.694 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.694 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.694 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.694 * [backup-simplify]: Simplify 1/2 into 1/2 52.694 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.694 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.694 * [backup-simplify]: Simplify phi1 into phi1 52.694 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.694 * [backup-simplify]: Simplify phi2 into phi2 52.694 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.694 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.694 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.694 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.694 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.694 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.694 * [backup-simplify]: Simplify (- 0) into 0 52.695 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.695 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 52.695 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 52.695 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 52.695 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.695 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.695 * [backup-simplify]: Simplify phi2 into phi2 52.695 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 52.695 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 52.695 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.695 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.695 * [backup-simplify]: Simplify 0 into 0 52.695 * [backup-simplify]: Simplify 1 into 1 52.695 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 52.695 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 52.695 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 52.695 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.695 * [backup-simplify]: Simplify 1/2 into 1/2 52.695 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 52.695 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.695 * [backup-simplify]: Simplify phi1 into phi1 52.695 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.695 * [backup-simplify]: Simplify phi2 into phi2 52.695 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 52.695 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 52.695 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 52.695 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 52.695 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 52.695 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 52.695 * [backup-simplify]: Simplify (- 0) into 0 52.696 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 52.696 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.696 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.696 * [backup-simplify]: Simplify phi1 into phi1 52.696 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 52.696 * [taylor]: Taking taylor expansion of 2 in lambda2 52.696 * [backup-simplify]: Simplify 2 into 2 52.696 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.696 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.696 * [backup-simplify]: Simplify phi1 into phi1 52.696 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.696 * [backup-simplify]: Simplify phi2 into phi2 52.696 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.696 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.696 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 52.696 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 52.696 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.696 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 52.696 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 52.696 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 52.696 * [backup-simplify]: Simplify (* 1 1) into 1 52.697 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 52.697 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 52.697 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 52.697 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 52.697 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 52.697 * [backup-simplify]: Simplify (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.698 * [backup-simplify]: Simplify (+ (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 52.698 * [backup-simplify]: Simplify (* (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) 52.698 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) in phi1 52.698 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.698 * [backup-simplify]: Simplify 1/3 into 1/3 52.698 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) in phi1 52.698 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 52.698 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 52.698 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 52.698 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.698 * [backup-simplify]: Simplify 1/2 into 1/2 52.698 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 52.698 * [taylor]: Taking taylor expansion of phi1 in phi1 52.698 * [backup-simplify]: Simplify 0 into 0 52.698 * [backup-simplify]: Simplify 1 into 1 52.698 * [taylor]: Taking taylor expansion of phi2 in phi1 52.698 * [backup-simplify]: Simplify phi2 into phi2 52.698 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 52.698 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 52.698 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 52.699 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 52.699 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 52.699 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 52.699 * [backup-simplify]: Simplify (- 0) into 0 52.699 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 52.699 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) in phi1 52.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) in phi1 52.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) in phi1 52.699 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.699 * [backup-simplify]: Simplify 1/3 into 1/3 52.699 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) in phi1 52.699 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) in phi1 52.699 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) in phi1 52.699 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 52.699 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 52.699 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.699 * [taylor]: Taking taylor expansion of phi2 in phi1 52.699 * [backup-simplify]: Simplify phi2 into phi2 52.699 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.699 * [taylor]: Taking taylor expansion of phi1 in phi1 52.699 * [backup-simplify]: Simplify 0 into 0 52.699 * [backup-simplify]: Simplify 1 into 1 52.699 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 52.699 * [taylor]: Taking taylor expansion of 2 in phi1 52.699 * [backup-simplify]: Simplify 2 into 2 52.699 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.699 * [taylor]: Taking taylor expansion of phi1 in phi1 52.699 * [backup-simplify]: Simplify 0 into 0 52.699 * [backup-simplify]: Simplify 1 into 1 52.699 * [taylor]: Taking taylor expansion of phi2 in phi1 52.699 * [backup-simplify]: Simplify phi2 into phi2 52.699 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.699 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 52.700 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.700 * [backup-simplify]: Simplify (* 2 0) into 0 52.700 * [backup-simplify]: Simplify (- 0) into 0 52.700 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 52.700 * [backup-simplify]: Simplify (* (pow phi2 2) (pow phi2 2)) into (pow phi2 4) 52.700 * [backup-simplify]: Simplify (/ 1 (pow phi2 4)) into (/ 1 (pow phi2 4)) 52.700 * [backup-simplify]: Simplify (log (/ 1 (pow phi2 4))) into (log (/ 1 (pow phi2 4))) 52.700 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow phi2 4)))) into (* 1/3 (log (/ 1 (pow phi2 4)))) 52.700 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow phi2 4))))) into (pow (/ 1 (pow phi2 4)) 1/3) 52.701 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 52.701 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) 52.701 * [backup-simplify]: Simplify (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) into (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) 52.701 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) in phi2 52.701 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.701 * [backup-simplify]: Simplify 1/3 into 1/3 52.701 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) in phi2 52.701 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 52.701 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 52.701 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 52.701 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.701 * [backup-simplify]: Simplify 1/2 into 1/2 52.701 * [taylor]: Taking taylor expansion of phi2 in phi2 52.701 * [backup-simplify]: Simplify 0 into 0 52.701 * [backup-simplify]: Simplify 1 into 1 52.701 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.702 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.702 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow phi2 4)) 1/3) in phi2 52.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow phi2 4))))) in phi2 52.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow phi2 4)))) in phi2 52.702 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.702 * [backup-simplify]: Simplify 1/3 into 1/3 52.702 * [taylor]: Taking taylor expansion of (log (/ 1 (pow phi2 4))) in phi2 52.702 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 4)) in phi2 52.702 * [taylor]: Taking taylor expansion of (pow phi2 4) in phi2 52.702 * [taylor]: Taking taylor expansion of phi2 in phi2 52.702 * [backup-simplify]: Simplify 0 into 0 52.702 * [backup-simplify]: Simplify 1 into 1 52.702 * [backup-simplify]: Simplify (* 1 1) into 1 52.702 * [backup-simplify]: Simplify (* 1 1) into 1 52.703 * [backup-simplify]: Simplify (/ 1 1) into 1 52.703 * [backup-simplify]: Simplify (log 1) into 0 52.703 * [backup-simplify]: Simplify (+ (* (- 4) (log phi2)) 0) into (- (* 4 (log phi2))) 52.703 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log phi2)))) into (* -4/3 (log phi2)) 52.703 * [backup-simplify]: Simplify (exp (* -4/3 (log phi2))) into (pow phi2 -4/3) 52.704 * [backup-simplify]: Simplify (* 1 1) into 1 52.704 * [backup-simplify]: Simplify (* 1 (pow phi2 -4/3)) into (pow (/ 1 (pow phi2 4)) 1/3) 52.704 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 52.704 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 52.704 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 phi2) 1/3)) (* 1 (* phi1 (* 1 1)))) (pow phi2 2/3))) into (- (+ (* 1/3 (* (pow lambda1 2) (pow (/ 1 (pow phi2 4)) 1/3))) (pow phi2 2/3)) (* 2/3 (* phi1 (pow (/ 1 phi2) 1/3)))) 52.705 * [backup-simplify]: Simplify (cbrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) 52.706 * [approximate]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 52.706 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi2 52.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi2 52.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi2 52.706 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.706 * [backup-simplify]: Simplify 1/3 into 1/3 52.706 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 52.706 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 52.706 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 52.706 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 52.706 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.706 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.706 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.706 * [backup-simplify]: Simplify 1/2 into 1/2 52.706 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.706 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.706 * [taylor]: Taking taylor expansion of phi1 in phi2 52.706 * [backup-simplify]: Simplify phi1 into phi1 52.706 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.706 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.706 * [taylor]: Taking taylor expansion of phi2 in phi2 52.706 * [backup-simplify]: Simplify 0 into 0 52.706 * [backup-simplify]: Simplify 1 into 1 52.707 * [backup-simplify]: Simplify (/ 1 1) into 1 52.707 * [backup-simplify]: Simplify (+ 0 1) into 1 52.707 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.707 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.708 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 52.708 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.708 * [backup-simplify]: Simplify lambda2 into lambda2 52.708 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.708 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.708 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 52.708 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 52.708 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 52.708 * [taylor]: Taking taylor expansion of phi1 in phi2 52.708 * [backup-simplify]: Simplify phi1 into phi1 52.708 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.708 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.708 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 52.708 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 52.708 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.708 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.709 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.709 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.709 * [backup-simplify]: Simplify 1/2 into 1/2 52.709 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.709 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.709 * [taylor]: Taking taylor expansion of phi1 in phi2 52.709 * [backup-simplify]: Simplify phi1 into phi1 52.709 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.709 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.709 * [taylor]: Taking taylor expansion of phi2 in phi2 52.709 * [backup-simplify]: Simplify 0 into 0 52.709 * [backup-simplify]: Simplify 1 into 1 52.709 * [backup-simplify]: Simplify (/ 1 1) into 1 52.710 * [backup-simplify]: Simplify (+ 0 1) into 1 52.710 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.710 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.710 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 52.710 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.710 * [backup-simplify]: Simplify lambda1 into lambda1 52.710 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.710 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.711 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.711 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 52.711 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.711 * [taylor]: Taking taylor expansion of phi2 in phi2 52.711 * [backup-simplify]: Simplify 0 into 0 52.711 * [backup-simplify]: Simplify 1 into 1 52.711 * [backup-simplify]: Simplify (* 1 1) into 1 52.711 * [backup-simplify]: Simplify (/ 1 1) into 1 52.712 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 52.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 52.712 * [taylor]: Taking taylor expansion of 2 in phi2 52.712 * [backup-simplify]: Simplify 2 into 2 52.712 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 52.712 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 52.712 * [taylor]: Taking taylor expansion of phi1 in phi2 52.712 * [backup-simplify]: Simplify phi1 into phi1 52.712 * [taylor]: Taking taylor expansion of phi2 in phi2 52.712 * [backup-simplify]: Simplify 0 into 0 52.712 * [backup-simplify]: Simplify 1 into 1 52.712 * [backup-simplify]: Simplify (* phi1 0) into 0 52.712 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 52.712 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.712 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 52.712 * [taylor]: Taking taylor expansion of 2 in phi2 52.712 * [backup-simplify]: Simplify 2 into 2 52.712 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 52.712 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.712 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.712 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.712 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.712 * [backup-simplify]: Simplify 1/2 into 1/2 52.712 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.713 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.713 * [taylor]: Taking taylor expansion of phi1 in phi2 52.713 * [backup-simplify]: Simplify phi1 into phi1 52.713 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.713 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.713 * [taylor]: Taking taylor expansion of phi2 in phi2 52.713 * [backup-simplify]: Simplify 0 into 0 52.713 * [backup-simplify]: Simplify 1 into 1 52.713 * [backup-simplify]: Simplify (/ 1 1) into 1 52.713 * [backup-simplify]: Simplify (+ 0 1) into 1 52.714 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.714 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.714 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 52.714 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.714 * [backup-simplify]: Simplify lambda2 into lambda2 52.714 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.714 * [backup-simplify]: Simplify lambda1 into lambda1 52.714 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.714 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 52.715 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 52.715 * [backup-simplify]: Simplify (+ 0 1) into 1 52.716 * [backup-simplify]: Simplify (+ 0 1) into 1 52.716 * [backup-simplify]: Simplify (+ 0 1) into 1 52.716 * [backup-simplify]: Simplify (+ 1 0) into 1 52.717 * [backup-simplify]: Simplify (log 1) into 0 52.717 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 52.717 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 52.717 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 52.717 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi1 52.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi1 52.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi1 52.717 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.718 * [backup-simplify]: Simplify 1/3 into 1/3 52.718 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 52.718 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 52.718 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 52.718 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 52.718 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.718 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.718 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.718 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.718 * [backup-simplify]: Simplify 1/2 into 1/2 52.718 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.718 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.718 * [taylor]: Taking taylor expansion of phi1 in phi1 52.718 * [backup-simplify]: Simplify 0 into 0 52.718 * [backup-simplify]: Simplify 1 into 1 52.718 * [backup-simplify]: Simplify (/ 1 1) into 1 52.718 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.718 * [taylor]: Taking taylor expansion of phi2 in phi1 52.718 * [backup-simplify]: Simplify phi2 into phi2 52.718 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.719 * [backup-simplify]: Simplify (+ 1 0) into 1 52.719 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.719 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.719 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 52.719 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.719 * [backup-simplify]: Simplify lambda2 into lambda2 52.720 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.720 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.720 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 52.720 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 52.720 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.720 * [taylor]: Taking taylor expansion of phi1 in phi1 52.720 * [backup-simplify]: Simplify 0 into 0 52.720 * [backup-simplify]: Simplify 1 into 1 52.720 * [backup-simplify]: Simplify (* 1 1) into 1 52.721 * [backup-simplify]: Simplify (/ 1 1) into 1 52.721 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 52.721 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 52.721 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.721 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.721 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.721 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.721 * [backup-simplify]: Simplify 1/2 into 1/2 52.721 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.721 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.721 * [taylor]: Taking taylor expansion of phi1 in phi1 52.721 * [backup-simplify]: Simplify 0 into 0 52.721 * [backup-simplify]: Simplify 1 into 1 52.721 * [backup-simplify]: Simplify (/ 1 1) into 1 52.721 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.721 * [taylor]: Taking taylor expansion of phi2 in phi1 52.721 * [backup-simplify]: Simplify phi2 into phi2 52.721 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.722 * [backup-simplify]: Simplify (+ 1 0) into 1 52.722 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.722 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.722 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 52.722 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.722 * [backup-simplify]: Simplify lambda1 into lambda1 52.723 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.723 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.723 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.723 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 52.723 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.723 * [taylor]: Taking taylor expansion of phi2 in phi1 52.723 * [backup-simplify]: Simplify phi2 into phi2 52.723 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.723 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.723 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 52.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 52.723 * [taylor]: Taking taylor expansion of 2 in phi1 52.723 * [backup-simplify]: Simplify 2 into 2 52.723 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 52.723 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.723 * [taylor]: Taking taylor expansion of phi1 in phi1 52.723 * [backup-simplify]: Simplify 0 into 0 52.723 * [backup-simplify]: Simplify 1 into 1 52.723 * [taylor]: Taking taylor expansion of phi2 in phi1 52.723 * [backup-simplify]: Simplify phi2 into phi2 52.723 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.726 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.726 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.726 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 52.726 * [taylor]: Taking taylor expansion of 2 in phi1 52.726 * [backup-simplify]: Simplify 2 into 2 52.726 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 52.726 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.726 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.726 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.726 * [backup-simplify]: Simplify 1/2 into 1/2 52.726 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.726 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.726 * [taylor]: Taking taylor expansion of phi1 in phi1 52.726 * [backup-simplify]: Simplify 0 into 0 52.727 * [backup-simplify]: Simplify 1 into 1 52.727 * [backup-simplify]: Simplify (/ 1 1) into 1 52.727 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.727 * [taylor]: Taking taylor expansion of phi2 in phi1 52.727 * [backup-simplify]: Simplify phi2 into phi2 52.727 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.727 * [backup-simplify]: Simplify (+ 1 0) into 1 52.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.728 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.728 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 52.728 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.728 * [backup-simplify]: Simplify lambda2 into lambda2 52.728 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.728 * [backup-simplify]: Simplify lambda1 into lambda1 52.728 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.728 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 52.729 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 52.729 * [backup-simplify]: Simplify (+ 1 0) into 1 52.729 * [backup-simplify]: Simplify (+ 0 1) into 1 52.730 * [backup-simplify]: Simplify (+ 1 0) into 1 52.730 * [backup-simplify]: Simplify (log 1) into 0 52.730 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 52.730 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 52.731 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 52.731 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 52.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda2 52.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda2 52.731 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.731 * [backup-simplify]: Simplify 1/3 into 1/3 52.731 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 52.731 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 52.731 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 52.731 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 52.731 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.731 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.731 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.731 * [backup-simplify]: Simplify 1/2 into 1/2 52.731 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.731 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.731 * [backup-simplify]: Simplify phi1 into phi1 52.731 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.731 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.731 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.731 * [backup-simplify]: Simplify phi2 into phi2 52.731 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.731 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.731 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.732 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.732 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.732 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.732 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.732 * [backup-simplify]: Simplify (- 0) into 0 52.733 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.733 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.733 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.733 * [backup-simplify]: Simplify 0 into 0 52.733 * [backup-simplify]: Simplify 1 into 1 52.733 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.733 * [backup-simplify]: Simplify (* 1 1) into 1 52.734 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 52.734 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 52.734 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.734 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.734 * [backup-simplify]: Simplify phi1 into phi1 52.734 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.734 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.734 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 52.734 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 52.734 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.734 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.734 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.734 * [backup-simplify]: Simplify 1/2 into 1/2 52.734 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.734 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.734 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.734 * [backup-simplify]: Simplify phi1 into phi1 52.734 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.734 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.734 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.734 * [backup-simplify]: Simplify phi2 into phi2 52.734 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.734 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.735 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.735 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.735 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.735 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.735 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.735 * [backup-simplify]: Simplify (- 0) into 0 52.736 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.736 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 52.736 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.736 * [backup-simplify]: Simplify lambda1 into lambda1 52.736 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.736 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.736 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.736 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 52.736 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.736 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.736 * [backup-simplify]: Simplify phi2 into phi2 52.736 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.736 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.736 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 52.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 52.736 * [taylor]: Taking taylor expansion of 2 in lambda2 52.737 * [backup-simplify]: Simplify 2 into 2 52.737 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 52.737 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.737 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.737 * [backup-simplify]: Simplify phi1 into phi1 52.737 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.737 * [backup-simplify]: Simplify phi2 into phi2 52.737 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.737 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.737 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 52.737 * [taylor]: Taking taylor expansion of 2 in lambda2 52.737 * [backup-simplify]: Simplify 2 into 2 52.737 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 52.737 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.737 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.737 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.737 * [backup-simplify]: Simplify 1/2 into 1/2 52.737 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.737 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.737 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.737 * [backup-simplify]: Simplify phi1 into phi1 52.737 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.737 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.737 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.737 * [backup-simplify]: Simplify phi2 into phi2 52.737 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.737 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.737 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.738 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.738 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.738 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.738 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.739 * [backup-simplify]: Simplify (- 0) into 0 52.739 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.739 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 52.739 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.739 * [backup-simplify]: Simplify 0 into 0 52.739 * [backup-simplify]: Simplify 1 into 1 52.739 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.739 * [backup-simplify]: Simplify lambda1 into lambda1 52.740 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.740 * [backup-simplify]: Simplify (* 0 lambda1) into 0 52.740 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 52.740 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 52.740 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.741 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.741 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.741 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 52.742 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 52.742 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 52.742 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 52.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 52.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 52.742 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.742 * [backup-simplify]: Simplify 1/3 into 1/3 52.742 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 52.742 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 52.742 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 52.742 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.742 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.742 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.743 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.743 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.743 * [backup-simplify]: Simplify 1/2 into 1/2 52.743 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.743 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.743 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.743 * [backup-simplify]: Simplify phi1 into phi1 52.743 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.743 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.743 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.743 * [backup-simplify]: Simplify phi2 into phi2 52.743 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.743 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.743 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.743 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.743 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.744 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.744 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.744 * [backup-simplify]: Simplify (- 0) into 0 52.744 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.744 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.744 * [backup-simplify]: Simplify lambda2 into lambda2 52.745 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.745 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.745 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 52.745 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.745 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.745 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.745 * [backup-simplify]: Simplify phi1 into phi1 52.745 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.745 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.745 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 52.745 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.745 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.745 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.745 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.745 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.745 * [backup-simplify]: Simplify 1/2 into 1/2 52.745 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.745 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.745 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.745 * [backup-simplify]: Simplify phi1 into phi1 52.746 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.746 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.746 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.746 * [backup-simplify]: Simplify phi2 into phi2 52.746 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.746 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.746 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.746 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.746 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.746 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.746 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.747 * [backup-simplify]: Simplify (- 0) into 0 52.747 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.747 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.747 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.747 * [backup-simplify]: Simplify 0 into 0 52.747 * [backup-simplify]: Simplify 1 into 1 52.747 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.748 * [backup-simplify]: Simplify (* 1 1) into 1 52.748 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.748 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.748 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.748 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.748 * [backup-simplify]: Simplify phi2 into phi2 52.748 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.748 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.748 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 52.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.748 * [taylor]: Taking taylor expansion of 2 in lambda1 52.748 * [backup-simplify]: Simplify 2 into 2 52.748 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.748 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.748 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.748 * [backup-simplify]: Simplify phi1 into phi1 52.748 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.748 * [backup-simplify]: Simplify phi2 into phi2 52.748 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.748 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.749 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 52.749 * [taylor]: Taking taylor expansion of 2 in lambda1 52.749 * [backup-simplify]: Simplify 2 into 2 52.749 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 52.749 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.749 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.749 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.749 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.749 * [backup-simplify]: Simplify 1/2 into 1/2 52.749 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.749 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.749 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.749 * [backup-simplify]: Simplify phi1 into phi1 52.749 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.749 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.749 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.749 * [backup-simplify]: Simplify phi2 into phi2 52.749 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.749 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.749 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.749 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.750 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.750 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.750 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.750 * [backup-simplify]: Simplify (- 0) into 0 52.751 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.751 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 52.751 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.751 * [backup-simplify]: Simplify lambda2 into lambda2 52.751 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.751 * [backup-simplify]: Simplify 0 into 0 52.751 * [backup-simplify]: Simplify 1 into 1 52.751 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.751 * [backup-simplify]: Simplify (* lambda2 0) into 0 52.751 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 52.752 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.752 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.752 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.752 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.753 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.753 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.753 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.754 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.754 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.754 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 52.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 52.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 52.754 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.754 * [backup-simplify]: Simplify 1/3 into 1/3 52.754 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 52.754 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 52.754 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 52.754 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.754 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.754 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.754 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.754 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.754 * [backup-simplify]: Simplify 1/2 into 1/2 52.754 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.754 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.754 * [backup-simplify]: Simplify phi1 into phi1 52.754 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.755 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.755 * [backup-simplify]: Simplify phi2 into phi2 52.755 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.755 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.755 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.755 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.755 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.755 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.755 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.756 * [backup-simplify]: Simplify (- 0) into 0 52.756 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.756 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.756 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.756 * [backup-simplify]: Simplify lambda2 into lambda2 52.756 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.756 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.756 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 52.756 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.756 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.757 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.757 * [backup-simplify]: Simplify phi1 into phi1 52.757 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.757 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.757 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 52.757 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.757 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.757 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.757 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.757 * [backup-simplify]: Simplify 1/2 into 1/2 52.757 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.757 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.757 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.757 * [backup-simplify]: Simplify phi1 into phi1 52.757 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.757 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.757 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.757 * [backup-simplify]: Simplify phi2 into phi2 52.757 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.757 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.757 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.757 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.758 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.758 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.758 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.758 * [backup-simplify]: Simplify (- 0) into 0 52.758 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.758 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.758 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.758 * [backup-simplify]: Simplify 0 into 0 52.758 * [backup-simplify]: Simplify 1 into 1 52.759 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.759 * [backup-simplify]: Simplify (* 1 1) into 1 52.759 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.759 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.759 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.759 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.759 * [backup-simplify]: Simplify phi2 into phi2 52.759 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.759 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.759 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 52.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.760 * [taylor]: Taking taylor expansion of 2 in lambda1 52.760 * [backup-simplify]: Simplify 2 into 2 52.760 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.760 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.760 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.760 * [backup-simplify]: Simplify phi1 into phi1 52.760 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.760 * [backup-simplify]: Simplify phi2 into phi2 52.760 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.760 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.760 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 52.760 * [taylor]: Taking taylor expansion of 2 in lambda1 52.760 * [backup-simplify]: Simplify 2 into 2 52.760 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 52.760 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.760 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.760 * [taylor]: Taking taylor expansion of 1/2 in lambda1 52.760 * [backup-simplify]: Simplify 1/2 into 1/2 52.760 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.760 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.760 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.760 * [backup-simplify]: Simplify phi1 into phi1 52.760 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.760 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.760 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.760 * [backup-simplify]: Simplify phi2 into phi2 52.760 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.760 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.761 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.761 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.761 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.761 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.761 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.762 * [backup-simplify]: Simplify (- 0) into 0 52.762 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.762 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 52.762 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.762 * [backup-simplify]: Simplify lambda2 into lambda2 52.762 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.762 * [backup-simplify]: Simplify 0 into 0 52.762 * [backup-simplify]: Simplify 1 into 1 52.762 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.762 * [backup-simplify]: Simplify (* lambda2 0) into 0 52.763 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 52.763 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.763 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.763 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.764 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.764 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.764 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.765 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.765 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.765 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.766 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.766 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.766 * [backup-simplify]: Simplify 1/3 into 1/3 52.766 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.766 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.766 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.766 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.766 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.766 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.766 * [backup-simplify]: Simplify 1/2 into 1/2 52.766 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.766 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.766 * [backup-simplify]: Simplify phi1 into phi1 52.766 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.766 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.766 * [backup-simplify]: Simplify phi2 into phi2 52.766 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.766 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.766 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.767 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.767 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.767 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.767 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.768 * [backup-simplify]: Simplify (- 0) into 0 52.768 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.768 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.768 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.768 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.768 * [taylor]: Taking taylor expansion of 2 in lambda2 52.768 * [backup-simplify]: Simplify 2 into 2 52.768 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.768 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.768 * [backup-simplify]: Simplify lambda1 into lambda1 52.768 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.769 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.769 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.769 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.769 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.769 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.770 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.770 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.770 * [backup-simplify]: Simplify 1/3 into 1/3 52.770 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.770 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.770 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.770 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.770 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.770 * [backup-simplify]: Simplify 1/2 into 1/2 52.770 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.770 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.770 * [taylor]: Taking taylor expansion of phi1 in phi1 52.770 * [backup-simplify]: Simplify 0 into 0 52.770 * [backup-simplify]: Simplify 1 into 1 52.770 * [backup-simplify]: Simplify (/ 1 1) into 1 52.770 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.770 * [taylor]: Taking taylor expansion of phi2 in phi1 52.770 * [backup-simplify]: Simplify phi2 into phi2 52.771 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.771 * [backup-simplify]: Simplify (+ 1 0) into 1 52.771 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.772 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.772 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.772 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.772 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.772 * [taylor]: Taking taylor expansion of 2 in phi1 52.772 * [backup-simplify]: Simplify 2 into 2 52.772 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.772 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.772 * [backup-simplify]: Simplify lambda1 into lambda1 52.772 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.772 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.772 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.773 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.773 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.773 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 52.773 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 52.773 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.773 * [backup-simplify]: Simplify 1/3 into 1/3 52.773 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 52.773 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 52.773 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.774 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.774 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.774 * [backup-simplify]: Simplify 1/2 into 1/2 52.774 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.774 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.774 * [taylor]: Taking taylor expansion of phi1 in phi2 52.774 * [backup-simplify]: Simplify phi1 into phi1 52.774 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.774 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.774 * [taylor]: Taking taylor expansion of phi2 in phi2 52.774 * [backup-simplify]: Simplify 0 into 0 52.774 * [backup-simplify]: Simplify 1 into 1 52.774 * [backup-simplify]: Simplify (/ 1 1) into 1 52.775 * [backup-simplify]: Simplify (+ 0 1) into 1 52.775 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.775 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.775 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.776 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.776 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 52.776 * [taylor]: Taking taylor expansion of 2 in phi2 52.776 * [backup-simplify]: Simplify 2 into 2 52.776 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 52.776 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.776 * [backup-simplify]: Simplify lambda1 into lambda1 52.776 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.776 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.776 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.776 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.777 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.777 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.777 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.778 * [backup-simplify]: Simplify (+ 0) into 0 52.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.779 * [backup-simplify]: Simplify (+ 0 0) into 0 52.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.781 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.781 * [backup-simplify]: Simplify (- 0) into 0 52.782 * [backup-simplify]: Simplify (+ 0 0) into 0 52.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 52.784 * [backup-simplify]: Simplify (+ 0 0) into 0 52.784 * [backup-simplify]: Simplify (+ 0 0) into 0 52.784 * [backup-simplify]: Simplify (+ 0 0) into 0 52.785 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 52.785 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 52.785 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 52.786 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 52.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 52.787 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.787 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 52.788 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 52.788 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 52.788 * [taylor]: Taking taylor expansion of -2/3 in lambda2 52.788 * [backup-simplify]: Simplify -2/3 into -2/3 52.788 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 52.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.788 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.788 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.788 * [backup-simplify]: Simplify 1/3 into 1/3 52.788 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.788 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.788 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.788 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.788 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.788 * [backup-simplify]: Simplify 1/2 into 1/2 52.788 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.788 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.788 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.788 * [backup-simplify]: Simplify phi1 into phi1 52.788 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.788 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.788 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.788 * [backup-simplify]: Simplify phi2 into phi2 52.788 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.789 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.789 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.789 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.789 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.789 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.789 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.790 * [backup-simplify]: Simplify (- 0) into 0 52.790 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.790 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.790 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.790 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.790 * [taylor]: Taking taylor expansion of 2 in lambda2 52.790 * [backup-simplify]: Simplify 2 into 2 52.790 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.790 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.790 * [backup-simplify]: Simplify lambda1 into lambda1 52.791 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.791 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.791 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.791 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.791 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.792 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.792 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.792 * [backup-simplify]: Simplify 0 into 0 52.792 * [backup-simplify]: Simplify 1 into 1 52.792 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.792 * [backup-simplify]: Simplify (+ 0) into 0 52.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.794 * [backup-simplify]: Simplify (+ 0 0) into 0 52.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.796 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.796 * [backup-simplify]: Simplify (- 0) into 0 52.796 * [backup-simplify]: Simplify (+ 0 0) into 0 52.797 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.799 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.799 * [backup-simplify]: Simplify (- 0) into 0 52.800 * [backup-simplify]: Simplify (+ 0 0) into 0 52.800 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 52.803 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 52.803 * [taylor]: Taking taylor expansion of 0 in phi1 52.803 * [backup-simplify]: Simplify 0 into 0 52.803 * [taylor]: Taking taylor expansion of 0 in phi2 52.803 * [backup-simplify]: Simplify 0 into 0 52.803 * [backup-simplify]: Simplify 0 into 0 52.804 * [backup-simplify]: Simplify (+ 0) into 0 52.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.805 * [backup-simplify]: Simplify (+ 0 0) into 0 52.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.807 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.807 * [backup-simplify]: Simplify (- 0) into 0 52.808 * [backup-simplify]: Simplify (+ 0 0) into 0 52.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.810 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.810 * [backup-simplify]: Simplify (- 0) into 0 52.810 * [backup-simplify]: Simplify (+ 0 0) into 0 52.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.811 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.811 * [taylor]: Taking taylor expansion of 0 in phi1 52.811 * [backup-simplify]: Simplify 0 into 0 52.811 * [taylor]: Taking taylor expansion of 0 in phi2 52.811 * [backup-simplify]: Simplify 0 into 0 52.811 * [backup-simplify]: Simplify 0 into 0 52.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.813 * [backup-simplify]: Simplify (- 0) into 0 52.813 * [backup-simplify]: Simplify (+ 0 0) into 0 52.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.814 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.814 * [taylor]: Taking taylor expansion of 0 in phi2 52.814 * [backup-simplify]: Simplify 0 into 0 52.814 * [backup-simplify]: Simplify 0 into 0 52.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.816 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.816 * [backup-simplify]: Simplify (- 0) into 0 52.816 * [backup-simplify]: Simplify (+ 0 0) into 0 52.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.817 * [backup-simplify]: Simplify 0 into 0 52.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.819 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.819 * [backup-simplify]: Simplify (+ 0 0) into 0 52.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.820 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.821 * [backup-simplify]: Simplify (- 0) into 0 52.821 * [backup-simplify]: Simplify (+ 0 0) into 0 52.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.823 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 52.823 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 52.823 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 52.824 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 52.824 * [backup-simplify]: Simplify (+ 0) into 0 52.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.825 * [backup-simplify]: Simplify (+ 0 0) into 0 52.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.826 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.826 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.826 * [backup-simplify]: Simplify (- 0) into 0 52.826 * [backup-simplify]: Simplify (+ 0 0) into 0 52.827 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.827 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 52.827 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 52.828 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 52.828 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 52.828 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 52.828 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 52.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 52.830 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.831 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 52.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) 52.832 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) in lambda2 52.832 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 52.832 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 52.832 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 52.832 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.832 * [backup-simplify]: Simplify 1/3 into 1/3 52.832 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 52.832 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 52.832 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.832 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.832 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.832 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.832 * [backup-simplify]: Simplify 1/2 into 1/2 52.832 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.832 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.832 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.832 * [backup-simplify]: Simplify phi1 into phi1 52.832 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.832 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.832 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.832 * [backup-simplify]: Simplify phi2 into phi2 52.832 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.833 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.833 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.833 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.833 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.833 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.833 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.833 * [backup-simplify]: Simplify (- 0) into 0 52.833 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.833 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.833 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.833 * [backup-simplify]: Simplify phi2 into phi2 52.834 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.834 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.834 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 52.834 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.834 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 52.834 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.834 * [backup-simplify]: Simplify 1/3 into 1/3 52.834 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 52.834 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 52.834 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.834 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.834 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.834 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.834 * [backup-simplify]: Simplify 1/2 into 1/2 52.834 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.834 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.834 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.834 * [backup-simplify]: Simplify phi1 into phi1 52.834 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.834 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.834 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.834 * [backup-simplify]: Simplify phi2 into phi2 52.834 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.834 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.834 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.834 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.835 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.835 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.835 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.835 * [backup-simplify]: Simplify (- 0) into 0 52.835 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.835 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.835 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.835 * [backup-simplify]: Simplify phi1 into phi1 52.835 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.835 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.836 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 52.836 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 52.836 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 52.836 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 52.836 * [taylor]: Taking taylor expansion of 2/3 in lambda2 52.836 * [backup-simplify]: Simplify 2/3 into 2/3 52.836 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 52.836 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 52.836 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.836 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.836 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.836 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.836 * [backup-simplify]: Simplify 1/2 into 1/2 52.836 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.836 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.836 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.836 * [backup-simplify]: Simplify phi1 into phi1 52.836 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.836 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.836 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.836 * [backup-simplify]: Simplify phi2 into phi2 52.836 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.836 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.836 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.836 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.836 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.836 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.837 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.837 * [backup-simplify]: Simplify (- 0) into 0 52.837 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.837 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.837 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.837 * [backup-simplify]: Simplify phi1 into phi1 52.837 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.837 * [backup-simplify]: Simplify phi2 into phi2 52.838 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.838 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.838 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 52.838 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 52.838 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 52.838 * [taylor]: Taking taylor expansion of 1/9 in lambda2 52.838 * [backup-simplify]: Simplify 1/9 into 1/9 52.838 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 52.838 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.838 * [backup-simplify]: Simplify 0 into 0 52.838 * [backup-simplify]: Simplify 1 into 1 52.839 * [backup-simplify]: Simplify (* 1 1) into 1 52.839 * [backup-simplify]: Simplify (/ 1 1) into 1 52.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 52.839 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 52.839 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.839 * [backup-simplify]: Simplify 1/3 into 1/3 52.839 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 52.839 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 52.839 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.840 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.840 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.840 * [taylor]: Taking taylor expansion of 1/2 in lambda2 52.840 * [backup-simplify]: Simplify 1/2 into 1/2 52.840 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.840 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.840 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.840 * [backup-simplify]: Simplify phi1 into phi1 52.840 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.840 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.840 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.840 * [backup-simplify]: Simplify phi2 into phi2 52.840 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.840 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.840 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.840 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.840 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.841 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.841 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.841 * [backup-simplify]: Simplify (- 0) into 0 52.841 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.842 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.842 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.842 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 52.842 * [taylor]: Taking taylor expansion of 2 in lambda2 52.842 * [backup-simplify]: Simplify 2 into 2 52.842 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 52.842 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.842 * [backup-simplify]: Simplify lambda1 into lambda1 52.842 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.842 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.842 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.842 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.843 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.843 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.843 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 52.844 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 52.844 * [backup-simplify]: Simplify (- 1/9) into -1/9 52.845 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 52.845 * [backup-simplify]: Simplify (+ 0) into 0 52.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 52.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 52.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 52.846 * [backup-simplify]: Simplify (+ 0 0) into 0 52.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 52.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.848 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 52.849 * [backup-simplify]: Simplify (- 0) into 0 52.849 * [backup-simplify]: Simplify (+ 0 0) into 0 52.849 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.854 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.854 * [backup-simplify]: Simplify (- 0) into 0 52.855 * [backup-simplify]: Simplify (+ 0 0) into 0 52.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.857 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.858 * [backup-simplify]: Simplify (+ 0 0) into 0 52.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.860 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.860 * [backup-simplify]: Simplify (- 0) into 0 52.861 * [backup-simplify]: Simplify (+ 0 0) into 0 52.861 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.866 * [backup-simplify]: Simplify (- 0) into 0 52.867 * [backup-simplify]: Simplify (+ 0 0) into 0 52.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.869 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.871 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 52.872 * [backup-simplify]: Simplify (+ 0 0) into 0 52.872 * [backup-simplify]: Simplify (- 0) into 0 52.872 * [backup-simplify]: Simplify (+ 0 0) into 0 52.873 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.874 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.874 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 52.875 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 52.875 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 52.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.877 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 52.877 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 52.878 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.878 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.880 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 52.880 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 52.880 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) in phi1 52.880 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 52.880 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.880 * [backup-simplify]: Simplify 1/3 into 1/3 52.880 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 52.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.880 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.880 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.880 * [backup-simplify]: Simplify 1/3 into 1/3 52.880 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.880 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.880 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.880 * [backup-simplify]: Simplify 1/2 into 1/2 52.880 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.880 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.880 * [taylor]: Taking taylor expansion of phi1 in phi1 52.880 * [backup-simplify]: Simplify 0 into 0 52.880 * [backup-simplify]: Simplify 1 into 1 52.880 * [backup-simplify]: Simplify (/ 1 1) into 1 52.880 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.880 * [taylor]: Taking taylor expansion of phi2 in phi1 52.881 * [backup-simplify]: Simplify phi2 into phi2 52.881 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.881 * [backup-simplify]: Simplify (+ 1 0) into 1 52.881 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.881 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.881 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.881 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.881 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.881 * [taylor]: Taking taylor expansion of 2 in phi1 52.881 * [backup-simplify]: Simplify 2 into 2 52.881 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.882 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.882 * [backup-simplify]: Simplify lambda1 into lambda1 52.882 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.882 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.882 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.882 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.882 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.882 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.882 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 52.882 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.882 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.882 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.882 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.882 * [backup-simplify]: Simplify 1/2 into 1/2 52.882 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.882 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.882 * [taylor]: Taking taylor expansion of phi1 in phi1 52.882 * [backup-simplify]: Simplify 0 into 0 52.882 * [backup-simplify]: Simplify 1 into 1 52.883 * [backup-simplify]: Simplify (/ 1 1) into 1 52.883 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.883 * [taylor]: Taking taylor expansion of phi2 in phi1 52.883 * [backup-simplify]: Simplify phi2 into phi2 52.883 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.883 * [backup-simplify]: Simplify (+ 1 0) into 1 52.883 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.883 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.883 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.883 * [taylor]: Taking taylor expansion of phi1 in phi1 52.883 * [backup-simplify]: Simplify 0 into 0 52.883 * [backup-simplify]: Simplify 1 into 1 52.883 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.884 * [backup-simplify]: Simplify (* 1 1) into 1 52.884 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.884 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.884 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 52.884 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.884 * [backup-simplify]: Simplify 1/3 into 1/3 52.884 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 52.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.884 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.884 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.884 * [backup-simplify]: Simplify 1/3 into 1/3 52.884 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.884 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.884 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.884 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.884 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.884 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.884 * [backup-simplify]: Simplify 1/2 into 1/2 52.884 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.884 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.884 * [taylor]: Taking taylor expansion of phi1 in phi1 52.884 * [backup-simplify]: Simplify 0 into 0 52.884 * [backup-simplify]: Simplify 1 into 1 52.885 * [backup-simplify]: Simplify (/ 1 1) into 1 52.885 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.885 * [taylor]: Taking taylor expansion of phi2 in phi1 52.885 * [backup-simplify]: Simplify phi2 into phi2 52.885 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.885 * [backup-simplify]: Simplify (+ 1 0) into 1 52.885 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.885 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.885 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.886 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.886 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.886 * [taylor]: Taking taylor expansion of 2 in phi1 52.886 * [backup-simplify]: Simplify 2 into 2 52.886 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.886 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.886 * [backup-simplify]: Simplify lambda1 into lambda1 52.886 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.886 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.886 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.886 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.886 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.886 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.886 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 52.886 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.886 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.886 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.886 * [backup-simplify]: Simplify 1/2 into 1/2 52.886 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.886 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.886 * [taylor]: Taking taylor expansion of phi1 in phi1 52.886 * [backup-simplify]: Simplify 0 into 0 52.886 * [backup-simplify]: Simplify 1 into 1 52.887 * [backup-simplify]: Simplify (/ 1 1) into 1 52.887 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.887 * [taylor]: Taking taylor expansion of phi2 in phi1 52.887 * [backup-simplify]: Simplify phi2 into phi2 52.887 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.887 * [backup-simplify]: Simplify (+ 1 0) into 1 52.887 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.887 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.887 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.887 * [taylor]: Taking taylor expansion of phi2 in phi1 52.887 * [backup-simplify]: Simplify phi2 into phi2 52.888 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.888 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.888 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 52.888 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 52.888 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 52.888 * [taylor]: Taking taylor expansion of 2/3 in phi1 52.888 * [backup-simplify]: Simplify 2/3 into 2/3 52.888 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 52.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 52.888 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 52.888 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.888 * [backup-simplify]: Simplify 1/3 into 1/3 52.888 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 52.888 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 52.888 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.888 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.888 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.888 * [backup-simplify]: Simplify 1/2 into 1/2 52.888 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.888 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.888 * [taylor]: Taking taylor expansion of phi1 in phi1 52.888 * [backup-simplify]: Simplify 0 into 0 52.888 * [backup-simplify]: Simplify 1 into 1 52.889 * [backup-simplify]: Simplify (/ 1 1) into 1 52.889 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.889 * [taylor]: Taking taylor expansion of phi2 in phi1 52.889 * [backup-simplify]: Simplify phi2 into phi2 52.889 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.889 * [backup-simplify]: Simplify (+ 1 0) into 1 52.889 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.889 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.889 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.890 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.890 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 52.890 * [taylor]: Taking taylor expansion of 2 in phi1 52.890 * [backup-simplify]: Simplify 2 into 2 52.890 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 52.890 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.890 * [backup-simplify]: Simplify lambda1 into lambda1 52.890 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.890 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.890 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.890 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.890 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.890 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.890 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 52.890 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.890 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.890 * [taylor]: Taking taylor expansion of 1/2 in phi1 52.890 * [backup-simplify]: Simplify 1/2 into 1/2 52.890 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.890 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.890 * [taylor]: Taking taylor expansion of phi1 in phi1 52.890 * [backup-simplify]: Simplify 0 into 0 52.890 * [backup-simplify]: Simplify 1 into 1 52.891 * [backup-simplify]: Simplify (/ 1 1) into 1 52.891 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.891 * [taylor]: Taking taylor expansion of phi2 in phi1 52.891 * [backup-simplify]: Simplify phi2 into phi2 52.891 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.891 * [backup-simplify]: Simplify (+ 1 0) into 1 52.891 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.891 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.891 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.891 * [taylor]: Taking taylor expansion of phi1 in phi1 52.891 * [backup-simplify]: Simplify 0 into 0 52.891 * [backup-simplify]: Simplify 1 into 1 52.891 * [taylor]: Taking taylor expansion of phi2 in phi1 52.891 * [backup-simplify]: Simplify phi2 into phi2 52.892 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.892 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.892 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 52.892 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.892 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.893 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 52.893 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 52.893 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.895 * [backup-simplify]: Simplify (- 0) into 0 52.895 * [backup-simplify]: Simplify (+ 0 0) into 0 52.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.896 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.898 * [backup-simplify]: Simplify (- 0) into 0 52.899 * [backup-simplify]: Simplify (+ 0 0) into 0 52.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.900 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.901 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.902 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.903 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.903 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 52.904 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.904 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.905 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.906 * [backup-simplify]: Simplify (+ 0 (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.907 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.907 * [backup-simplify]: Simplify (- 0) into 0 52.908 * [backup-simplify]: Simplify (+ 0 0) into 0 52.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.909 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 52.910 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.911 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 52.911 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 52.913 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 52.913 * [backup-simplify]: Simplify (- 0) into 0 52.914 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 52.914 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 52.914 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.914 * [backup-simplify]: Simplify 1/3 into 1/3 52.914 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 52.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 52.914 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 52.914 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.914 * [backup-simplify]: Simplify 1/3 into 1/3 52.914 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 52.914 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 52.914 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.914 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.914 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.914 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.914 * [backup-simplify]: Simplify 1/2 into 1/2 52.914 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.914 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.914 * [taylor]: Taking taylor expansion of phi1 in phi2 52.914 * [backup-simplify]: Simplify phi1 into phi1 52.914 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.914 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.914 * [taylor]: Taking taylor expansion of phi2 in phi2 52.914 * [backup-simplify]: Simplify 0 into 0 52.915 * [backup-simplify]: Simplify 1 into 1 52.915 * [backup-simplify]: Simplify (/ 1 1) into 1 52.915 * [backup-simplify]: Simplify (+ 0 1) into 1 52.916 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.916 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.916 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.917 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.917 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 52.917 * [taylor]: Taking taylor expansion of 2 in phi2 52.917 * [backup-simplify]: Simplify 2 into 2 52.917 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 52.917 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.917 * [backup-simplify]: Simplify lambda1 into lambda1 52.917 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 52.917 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 52.917 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 52.917 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 52.918 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 52.918 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 52.918 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 52.918 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.918 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.918 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.918 * [taylor]: Taking taylor expansion of 1/2 in phi2 52.918 * [backup-simplify]: Simplify 1/2 into 1/2 52.918 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.918 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.918 * [taylor]: Taking taylor expansion of phi1 in phi2 52.918 * [backup-simplify]: Simplify phi1 into phi1 52.918 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.918 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.918 * [taylor]: Taking taylor expansion of phi2 in phi2 52.918 * [backup-simplify]: Simplify 0 into 0 52.918 * [backup-simplify]: Simplify 1 into 1 52.919 * [backup-simplify]: Simplify (/ 1 1) into 1 52.920 * [backup-simplify]: Simplify (+ 0 1) into 1 52.920 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.920 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.920 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.920 * [taylor]: Taking taylor expansion of phi2 in phi2 52.920 * [backup-simplify]: Simplify 0 into 0 52.920 * [backup-simplify]: Simplify 1 into 1 52.921 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.921 * [backup-simplify]: Simplify (* 1 1) into 1 52.921 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.922 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 52.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 52.924 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 52.924 * [backup-simplify]: Simplify (- 0) into 0 52.925 * [backup-simplify]: Simplify (+ 0 0) into 0 52.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 52.926 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.932 * [backup-simplify]: Simplify (- 0) into 0 52.932 * [backup-simplify]: Simplify (+ 0 0) into 0 52.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.935 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.936 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 52.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.938 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.940 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 52.940 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.941 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.943 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 52.943 * [backup-simplify]: Simplify 0 into 0 52.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.944 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 52.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 52.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 52.945 * [backup-simplify]: Simplify (+ 0 0) into 0 52.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 52.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.947 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 52.948 * [backup-simplify]: Simplify (- 0) into 0 52.948 * [backup-simplify]: Simplify (+ 0 0) into 0 52.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 52.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 52.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 52.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 52.954 * [backup-simplify]: Simplify (- 0) into 0 52.954 * [backup-simplify]: Simplify (+ 0 0) into 0 52.955 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 52.957 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.959 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 52.960 * [taylor]: Taking taylor expansion of 0 in phi1 52.960 * [backup-simplify]: Simplify 0 into 0 52.960 * [taylor]: Taking taylor expansion of 0 in phi2 52.960 * [backup-simplify]: Simplify 0 into 0 52.960 * [backup-simplify]: Simplify 0 into 0 52.960 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 52.961 * [backup-simplify]: Simplify (cbrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) 52.961 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 52.961 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi2 52.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi2 52.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi2 52.962 * [taylor]: Taking taylor expansion of 1/3 in phi2 52.962 * [backup-simplify]: Simplify 1/3 into 1/3 52.962 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 52.962 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 52.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 52.962 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 52.962 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 52.962 * [taylor]: Taking taylor expansion of phi2 in phi2 52.962 * [backup-simplify]: Simplify 0 into 0 52.962 * [backup-simplify]: Simplify 1 into 1 52.962 * [backup-simplify]: Simplify (* 1 1) into 1 52.963 * [backup-simplify]: Simplify (/ 1 1) into 1 52.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 52.963 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 52.963 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 52.963 * [taylor]: Taking taylor expansion of phi1 in phi2 52.963 * [backup-simplify]: Simplify phi1 into phi1 52.963 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.963 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.963 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 52.963 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 52.963 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.963 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.963 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.963 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.963 * [backup-simplify]: Simplify -1/2 into -1/2 52.963 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.963 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.963 * [taylor]: Taking taylor expansion of phi1 in phi2 52.963 * [backup-simplify]: Simplify phi1 into phi1 52.963 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.963 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.963 * [taylor]: Taking taylor expansion of phi2 in phi2 52.963 * [backup-simplify]: Simplify 0 into 0 52.963 * [backup-simplify]: Simplify 1 into 1 52.964 * [backup-simplify]: Simplify (/ 1 1) into 1 52.964 * [backup-simplify]: Simplify (+ 0 1) into 1 52.965 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.965 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.965 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 52.965 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.965 * [backup-simplify]: Simplify lambda1 into lambda1 52.965 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.965 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.965 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.965 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 52.965 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.966 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.966 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.966 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.966 * [backup-simplify]: Simplify -1/2 into -1/2 52.966 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.966 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.966 * [taylor]: Taking taylor expansion of phi1 in phi2 52.966 * [backup-simplify]: Simplify phi1 into phi1 52.966 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.966 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.966 * [taylor]: Taking taylor expansion of phi2 in phi2 52.966 * [backup-simplify]: Simplify 0 into 0 52.966 * [backup-simplify]: Simplify 1 into 1 52.968 * [backup-simplify]: Simplify (/ 1 1) into 1 52.969 * [backup-simplify]: Simplify (+ 0 1) into 1 52.970 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.970 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.970 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 52.970 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.970 * [backup-simplify]: Simplify lambda2 into lambda2 52.970 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.970 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.970 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.970 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 52.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 52.970 * [taylor]: Taking taylor expansion of 2 in phi2 52.970 * [backup-simplify]: Simplify 2 into 2 52.970 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 52.970 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 52.971 * [taylor]: Taking taylor expansion of phi1 in phi2 52.971 * [backup-simplify]: Simplify phi1 into phi1 52.971 * [taylor]: Taking taylor expansion of phi2 in phi2 52.971 * [backup-simplify]: Simplify 0 into 0 52.971 * [backup-simplify]: Simplify 1 into 1 52.971 * [backup-simplify]: Simplify (* phi1 0) into 0 52.971 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 52.971 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.971 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 52.971 * [taylor]: Taking taylor expansion of 2 in phi2 52.971 * [backup-simplify]: Simplify 2 into 2 52.971 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 52.971 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 52.971 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 52.971 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 52.971 * [taylor]: Taking taylor expansion of -1/2 in phi2 52.971 * [backup-simplify]: Simplify -1/2 into -1/2 52.971 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 52.971 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 52.971 * [taylor]: Taking taylor expansion of phi1 in phi2 52.971 * [backup-simplify]: Simplify phi1 into phi1 52.971 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.972 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 52.972 * [taylor]: Taking taylor expansion of phi2 in phi2 52.972 * [backup-simplify]: Simplify 0 into 0 52.972 * [backup-simplify]: Simplify 1 into 1 52.972 * [backup-simplify]: Simplify (/ 1 1) into 1 52.972 * [backup-simplify]: Simplify (+ 0 1) into 1 52.973 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.973 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.973 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 52.973 * [taylor]: Taking taylor expansion of lambda1 in phi2 52.973 * [backup-simplify]: Simplify lambda1 into lambda1 52.973 * [taylor]: Taking taylor expansion of lambda2 in phi2 52.973 * [backup-simplify]: Simplify lambda2 into lambda2 52.973 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.973 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 52.974 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 52.974 * [backup-simplify]: Simplify (+ 1 0) into 1 52.974 * [backup-simplify]: Simplify (+ 1 0) into 1 52.975 * [backup-simplify]: Simplify (log 1) into 0 52.975 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 52.975 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 52.975 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 52.975 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi1 52.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi1 52.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi1 52.975 * [taylor]: Taking taylor expansion of 1/3 in phi1 52.976 * [backup-simplify]: Simplify 1/3 into 1/3 52.976 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 52.976 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 52.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 52.976 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 52.976 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 52.976 * [taylor]: Taking taylor expansion of phi2 in phi1 52.976 * [backup-simplify]: Simplify phi2 into phi2 52.976 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.976 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 52.976 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 52.976 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 52.976 * [taylor]: Taking taylor expansion of phi1 in phi1 52.976 * [backup-simplify]: Simplify 0 into 0 52.976 * [backup-simplify]: Simplify 1 into 1 52.976 * [backup-simplify]: Simplify (* 1 1) into 1 52.977 * [backup-simplify]: Simplify (/ 1 1) into 1 52.977 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 52.977 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 52.977 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.977 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.977 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.977 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.977 * [backup-simplify]: Simplify -1/2 into -1/2 52.977 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.977 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.977 * [taylor]: Taking taylor expansion of phi1 in phi1 52.977 * [backup-simplify]: Simplify 0 into 0 52.977 * [backup-simplify]: Simplify 1 into 1 52.977 * [backup-simplify]: Simplify (/ 1 1) into 1 52.977 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.978 * [taylor]: Taking taylor expansion of phi2 in phi1 52.978 * [backup-simplify]: Simplify phi2 into phi2 52.978 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.978 * [backup-simplify]: Simplify (+ 1 0) into 1 52.978 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.979 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.979 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 52.979 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.979 * [backup-simplify]: Simplify lambda1 into lambda1 52.979 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.979 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.979 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.979 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 52.979 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.979 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.979 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.979 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.979 * [backup-simplify]: Simplify -1/2 into -1/2 52.979 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.979 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.979 * [taylor]: Taking taylor expansion of phi1 in phi1 52.979 * [backup-simplify]: Simplify 0 into 0 52.980 * [backup-simplify]: Simplify 1 into 1 52.980 * [backup-simplify]: Simplify (/ 1 1) into 1 52.980 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.980 * [taylor]: Taking taylor expansion of phi2 in phi1 52.980 * [backup-simplify]: Simplify phi2 into phi2 52.980 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.980 * [backup-simplify]: Simplify (+ 1 0) into 1 52.981 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.981 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.981 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 52.981 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.981 * [backup-simplify]: Simplify lambda2 into lambda2 52.981 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.981 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.981 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.981 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 52.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 52.981 * [taylor]: Taking taylor expansion of 2 in phi1 52.981 * [backup-simplify]: Simplify 2 into 2 52.981 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 52.981 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 52.981 * [taylor]: Taking taylor expansion of phi1 in phi1 52.981 * [backup-simplify]: Simplify 0 into 0 52.981 * [backup-simplify]: Simplify 1 into 1 52.981 * [taylor]: Taking taylor expansion of phi2 in phi1 52.981 * [backup-simplify]: Simplify phi2 into phi2 52.981 * [backup-simplify]: Simplify (* 0 phi2) into 0 52.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 52.982 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.982 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 52.982 * [taylor]: Taking taylor expansion of 2 in phi1 52.982 * [backup-simplify]: Simplify 2 into 2 52.982 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 52.982 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 52.982 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 52.982 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 52.982 * [taylor]: Taking taylor expansion of -1/2 in phi1 52.982 * [backup-simplify]: Simplify -1/2 into -1/2 52.982 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 52.982 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 52.982 * [taylor]: Taking taylor expansion of phi1 in phi1 52.982 * [backup-simplify]: Simplify 0 into 0 52.982 * [backup-simplify]: Simplify 1 into 1 52.982 * [backup-simplify]: Simplify (/ 1 1) into 1 52.982 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 52.982 * [taylor]: Taking taylor expansion of phi2 in phi1 52.982 * [backup-simplify]: Simplify phi2 into phi2 52.982 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.983 * [backup-simplify]: Simplify (+ 1 0) into 1 52.983 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 52.983 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.983 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 52.983 * [taylor]: Taking taylor expansion of lambda1 in phi1 52.983 * [backup-simplify]: Simplify lambda1 into lambda1 52.983 * [taylor]: Taking taylor expansion of lambda2 in phi1 52.983 * [backup-simplify]: Simplify lambda2 into lambda2 52.983 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.983 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 52.983 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 52.984 * [backup-simplify]: Simplify (+ 1 0) into 1 52.984 * [backup-simplify]: Simplify (+ 0 1) into 1 52.985 * [backup-simplify]: Simplify (+ 1 0) into 1 52.985 * [backup-simplify]: Simplify (log 1) into 0 52.985 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 52.985 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 52.985 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 52.985 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda2 52.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda2 52.986 * [taylor]: Taking taylor expansion of 1/3 in lambda2 52.986 * [backup-simplify]: Simplify 1/3 into 1/3 52.986 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 52.986 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 52.986 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.986 * [backup-simplify]: Simplify phi2 into phi2 52.986 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.986 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 52.986 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 52.986 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.986 * [backup-simplify]: Simplify phi1 into phi1 52.986 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.986 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.986 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 52.986 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.986 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.986 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.986 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.986 * [backup-simplify]: Simplify -1/2 into -1/2 52.986 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.986 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.986 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.986 * [backup-simplify]: Simplify phi1 into phi1 52.986 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.986 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.986 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.987 * [backup-simplify]: Simplify phi2 into phi2 52.987 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.987 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.987 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.987 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.987 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.987 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.987 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.987 * [backup-simplify]: Simplify (- 0) into 0 52.987 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.988 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 52.988 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.988 * [backup-simplify]: Simplify lambda1 into lambda1 52.988 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.988 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 52.988 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 52.988 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 52.988 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.988 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.988 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.988 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.988 * [backup-simplify]: Simplify -1/2 into -1/2 52.988 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.988 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.988 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.988 * [backup-simplify]: Simplify phi1 into phi1 52.988 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.988 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.988 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.988 * [backup-simplify]: Simplify phi2 into phi2 52.988 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.988 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.988 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.988 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.989 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.989 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.989 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.989 * [backup-simplify]: Simplify (- 0) into 0 52.989 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.989 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 52.989 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.989 * [backup-simplify]: Simplify 0 into 0 52.989 * [backup-simplify]: Simplify 1 into 1 52.989 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.990 * [backup-simplify]: Simplify (* 1 1) into 1 52.990 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.990 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 52.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 52.990 * [taylor]: Taking taylor expansion of 2 in lambda2 52.990 * [backup-simplify]: Simplify 2 into 2 52.990 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 52.990 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 52.990 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.990 * [backup-simplify]: Simplify phi1 into phi1 52.990 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.990 * [backup-simplify]: Simplify phi2 into phi2 52.990 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.990 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.990 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 52.990 * [taylor]: Taking taylor expansion of 2 in lambda2 52.990 * [backup-simplify]: Simplify 2 into 2 52.990 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 52.990 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 52.990 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 52.990 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 52.990 * [taylor]: Taking taylor expansion of -1/2 in lambda2 52.990 * [backup-simplify]: Simplify -1/2 into -1/2 52.990 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 52.990 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 52.990 * [taylor]: Taking taylor expansion of phi1 in lambda2 52.990 * [backup-simplify]: Simplify phi1 into phi1 52.990 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.990 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 52.990 * [taylor]: Taking taylor expansion of phi2 in lambda2 52.990 * [backup-simplify]: Simplify phi2 into phi2 52.990 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.990 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.990 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.990 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.991 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.991 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.991 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.991 * [backup-simplify]: Simplify (- 0) into 0 52.991 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.991 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 52.991 * [taylor]: Taking taylor expansion of lambda1 in lambda2 52.991 * [backup-simplify]: Simplify lambda1 into lambda1 52.991 * [taylor]: Taking taylor expansion of lambda2 in lambda2 52.991 * [backup-simplify]: Simplify 0 into 0 52.991 * [backup-simplify]: Simplify 1 into 1 52.991 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.991 * [backup-simplify]: Simplify (* lambda1 0) into 0 52.992 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 52.992 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 52.992 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.992 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.992 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.992 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.992 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 52.993 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 52.993 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 52.993 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 52.993 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 52.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 52.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 52.993 * [taylor]: Taking taylor expansion of 1/3 in lambda1 52.993 * [backup-simplify]: Simplify 1/3 into 1/3 52.993 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 52.993 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 52.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 52.993 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 52.993 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 52.993 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.993 * [backup-simplify]: Simplify phi2 into phi2 52.993 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 52.993 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 52.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 52.993 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 52.993 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 52.993 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.993 * [backup-simplify]: Simplify phi1 into phi1 52.994 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 52.994 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 52.994 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 52.994 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 52.994 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.994 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.994 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.994 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.994 * [backup-simplify]: Simplify -1/2 into -1/2 52.994 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.994 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.994 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.994 * [backup-simplify]: Simplify phi1 into phi1 52.994 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.994 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.994 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.994 * [backup-simplify]: Simplify phi2 into phi2 52.994 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.994 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.994 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.994 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.994 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.994 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.994 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.995 * [backup-simplify]: Simplify (- 0) into 0 52.995 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.995 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 52.995 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.995 * [backup-simplify]: Simplify 0 into 0 52.995 * [backup-simplify]: Simplify 1 into 1 52.995 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.995 * [backup-simplify]: Simplify (* 1 1) into 1 52.995 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.995 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 52.995 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.995 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.995 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.995 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.995 * [backup-simplify]: Simplify -1/2 into -1/2 52.995 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.995 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.995 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.995 * [backup-simplify]: Simplify phi1 into phi1 52.995 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.995 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.995 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.995 * [backup-simplify]: Simplify phi2 into phi2 52.996 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.996 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.996 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.996 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.996 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.996 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.996 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.996 * [backup-simplify]: Simplify (- 0) into 0 52.996 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.996 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 52.996 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.996 * [backup-simplify]: Simplify lambda2 into lambda2 52.997 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.997 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 52.997 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 52.997 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 52.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 52.997 * [taylor]: Taking taylor expansion of 2 in lambda1 52.997 * [backup-simplify]: Simplify 2 into 2 52.997 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 52.997 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 52.997 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.997 * [backup-simplify]: Simplify phi1 into phi1 52.997 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.997 * [backup-simplify]: Simplify phi2 into phi2 52.997 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 52.997 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 52.997 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 52.997 * [taylor]: Taking taylor expansion of 2 in lambda1 52.997 * [backup-simplify]: Simplify 2 into 2 52.997 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 52.997 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 52.997 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 52.997 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 52.997 * [taylor]: Taking taylor expansion of -1/2 in lambda1 52.997 * [backup-simplify]: Simplify -1/2 into -1/2 52.997 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 52.997 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 52.997 * [taylor]: Taking taylor expansion of phi1 in lambda1 52.997 * [backup-simplify]: Simplify phi1 into phi1 52.997 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 52.997 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 52.997 * [taylor]: Taking taylor expansion of phi2 in lambda1 52.997 * [backup-simplify]: Simplify phi2 into phi2 52.997 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 52.997 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 52.997 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 52.998 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.998 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.998 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.998 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 52.998 * [backup-simplify]: Simplify (- 0) into 0 52.998 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 52.998 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 52.998 * [taylor]: Taking taylor expansion of lambda1 in lambda1 52.998 * [backup-simplify]: Simplify 0 into 0 52.998 * [backup-simplify]: Simplify 1 into 1 52.998 * [taylor]: Taking taylor expansion of lambda2 in lambda1 52.998 * [backup-simplify]: Simplify lambda2 into lambda2 52.998 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.999 * [backup-simplify]: Simplify (* 0 lambda2) into 0 52.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 52.999 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 52.999 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.999 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.999 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 52.999 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.000 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.000 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.000 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.000 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.000 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 53.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 53.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 53.000 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.000 * [backup-simplify]: Simplify 1/3 into 1/3 53.000 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 53.000 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 53.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 53.001 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 53.001 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.001 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.001 * [backup-simplify]: Simplify phi2 into phi2 53.001 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.001 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 53.001 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 53.001 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.001 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.001 * [backup-simplify]: Simplify phi1 into phi1 53.001 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.001 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.001 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 53.001 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 53.001 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.001 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.001 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.001 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.001 * [backup-simplify]: Simplify -1/2 into -1/2 53.001 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.001 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.001 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.001 * [backup-simplify]: Simplify phi1 into phi1 53.001 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.001 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.001 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.001 * [backup-simplify]: Simplify phi2 into phi2 53.001 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.001 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.002 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.002 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.002 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.002 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.002 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.002 * [backup-simplify]: Simplify (- 0) into 0 53.002 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.002 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.002 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.002 * [backup-simplify]: Simplify 0 into 0 53.002 * [backup-simplify]: Simplify 1 into 1 53.003 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.003 * [backup-simplify]: Simplify (* 1 1) into 1 53.003 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.003 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 53.003 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.003 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.003 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.003 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.003 * [backup-simplify]: Simplify -1/2 into -1/2 53.003 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.003 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.003 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.003 * [backup-simplify]: Simplify phi1 into phi1 53.003 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.003 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.003 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.003 * [backup-simplify]: Simplify phi2 into phi2 53.003 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.003 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.003 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.003 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.003 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.004 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.004 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.004 * [backup-simplify]: Simplify (- 0) into 0 53.004 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.004 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.004 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.004 * [backup-simplify]: Simplify lambda2 into lambda2 53.004 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.004 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.004 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.004 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 53.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 53.004 * [taylor]: Taking taylor expansion of 2 in lambda1 53.004 * [backup-simplify]: Simplify 2 into 2 53.004 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 53.004 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.004 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.005 * [backup-simplify]: Simplify phi1 into phi1 53.005 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.005 * [backup-simplify]: Simplify phi2 into phi2 53.005 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.005 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.005 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 53.005 * [taylor]: Taking taylor expansion of 2 in lambda1 53.005 * [backup-simplify]: Simplify 2 into 2 53.005 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 53.005 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.005 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.005 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.005 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.005 * [backup-simplify]: Simplify -1/2 into -1/2 53.005 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.005 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.005 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.005 * [backup-simplify]: Simplify phi1 into phi1 53.005 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.005 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.005 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.005 * [backup-simplify]: Simplify phi2 into phi2 53.005 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.005 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.005 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.005 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.005 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.005 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.005 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.006 * [backup-simplify]: Simplify (- 0) into 0 53.006 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.006 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 53.006 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.006 * [backup-simplify]: Simplify 0 into 0 53.006 * [backup-simplify]: Simplify 1 into 1 53.006 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.006 * [backup-simplify]: Simplify lambda2 into lambda2 53.006 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.006 * [backup-simplify]: Simplify (* 0 lambda2) into 0 53.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 53.006 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 53.007 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.007 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.007 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.007 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.007 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.007 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.008 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.008 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.008 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.008 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.008 * [backup-simplify]: Simplify 1/3 into 1/3 53.008 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.008 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.008 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.008 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.008 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.008 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.008 * [backup-simplify]: Simplify -1/2 into -1/2 53.008 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.008 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.008 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.008 * [backup-simplify]: Simplify phi1 into phi1 53.008 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.008 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.008 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.008 * [backup-simplify]: Simplify phi2 into phi2 53.008 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.008 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.008 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.008 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.008 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.009 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.009 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.009 * [backup-simplify]: Simplify (- 0) into 0 53.009 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.010 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.010 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.010 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.010 * [taylor]: Taking taylor expansion of 2 in lambda2 53.010 * [backup-simplify]: Simplify 2 into 2 53.010 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.010 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.010 * [backup-simplify]: Simplify lambda1 into lambda1 53.010 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.010 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.010 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.010 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.011 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.011 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.011 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.011 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.011 * [backup-simplify]: Simplify 1/3 into 1/3 53.011 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.011 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.011 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.011 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.011 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.011 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.011 * [backup-simplify]: Simplify -1/2 into -1/2 53.011 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.011 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.011 * [taylor]: Taking taylor expansion of phi1 in phi1 53.011 * [backup-simplify]: Simplify 0 into 0 53.011 * [backup-simplify]: Simplify 1 into 1 53.012 * [backup-simplify]: Simplify (/ 1 1) into 1 53.012 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.012 * [taylor]: Taking taylor expansion of phi2 in phi1 53.012 * [backup-simplify]: Simplify phi2 into phi2 53.012 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.012 * [backup-simplify]: Simplify (+ 1 0) into 1 53.013 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.013 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.013 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.013 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.013 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.013 * [taylor]: Taking taylor expansion of 2 in phi1 53.013 * [backup-simplify]: Simplify 2 into 2 53.014 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.014 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.014 * [backup-simplify]: Simplify lambda1 into lambda1 53.014 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.014 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.014 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.014 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.014 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.015 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 53.015 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 53.015 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.015 * [backup-simplify]: Simplify 1/3 into 1/3 53.015 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 53.015 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 53.015 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.015 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.015 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.015 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.015 * [backup-simplify]: Simplify -1/2 into -1/2 53.015 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.015 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.015 * [taylor]: Taking taylor expansion of phi1 in phi2 53.015 * [backup-simplify]: Simplify phi1 into phi1 53.015 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.015 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.015 * [taylor]: Taking taylor expansion of phi2 in phi2 53.015 * [backup-simplify]: Simplify 0 into 0 53.015 * [backup-simplify]: Simplify 1 into 1 53.016 * [backup-simplify]: Simplify (/ 1 1) into 1 53.016 * [backup-simplify]: Simplify (+ 0 1) into 1 53.017 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.017 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.017 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.017 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.017 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 53.017 * [taylor]: Taking taylor expansion of 2 in phi2 53.017 * [backup-simplify]: Simplify 2 into 2 53.017 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 53.017 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.017 * [backup-simplify]: Simplify lambda1 into lambda1 53.017 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.017 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.018 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.018 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.018 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.018 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.019 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.019 * [backup-simplify]: Simplify (+ 0) into 0 53.020 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.021 * [backup-simplify]: Simplify (+ 0 0) into 0 53.021 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.023 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.023 * [backup-simplify]: Simplify (- 0) into 0 53.024 * [backup-simplify]: Simplify (+ 0 0) into 0 53.024 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 53.026 * [backup-simplify]: Simplify (+ 0 0) into 0 53.026 * [backup-simplify]: Simplify (+ 0 0) into 0 53.027 * [backup-simplify]: Simplify (+ 0 0) into 0 53.027 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 53.027 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 53.028 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 53.028 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 53.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 53.029 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.030 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 53.030 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 53.030 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 53.030 * [taylor]: Taking taylor expansion of -2/3 in lambda2 53.030 * [backup-simplify]: Simplify -2/3 into -2/3 53.030 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 53.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.030 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.030 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.030 * [backup-simplify]: Simplify 1/3 into 1/3 53.030 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.030 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.030 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.030 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.030 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.030 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.030 * [backup-simplify]: Simplify -1/2 into -1/2 53.030 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.031 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.031 * [backup-simplify]: Simplify phi1 into phi1 53.031 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.031 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.031 * [backup-simplify]: Simplify phi2 into phi2 53.031 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.031 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.031 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.031 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.031 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.031 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.031 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.032 * [backup-simplify]: Simplify (- 0) into 0 53.032 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.032 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.033 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.033 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.033 * [taylor]: Taking taylor expansion of 2 in lambda2 53.033 * [backup-simplify]: Simplify 2 into 2 53.033 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.033 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.033 * [backup-simplify]: Simplify lambda1 into lambda1 53.033 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.033 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.033 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.033 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.033 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.034 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.034 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.034 * [backup-simplify]: Simplify 0 into 0 53.034 * [backup-simplify]: Simplify 1 into 1 53.034 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.035 * [backup-simplify]: Simplify (+ 0) into 0 53.035 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.036 * [backup-simplify]: Simplify (+ 0 0) into 0 53.036 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.038 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.038 * [backup-simplify]: Simplify (- 0) into 0 53.039 * [backup-simplify]: Simplify (+ 0 0) into 0 53.039 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.041 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.041 * [backup-simplify]: Simplify (- 0) into 0 53.042 * [backup-simplify]: Simplify (+ 0 0) into 0 53.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.043 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 53.045 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 53.045 * [taylor]: Taking taylor expansion of 0 in phi1 53.045 * [backup-simplify]: Simplify 0 into 0 53.045 * [taylor]: Taking taylor expansion of 0 in phi2 53.045 * [backup-simplify]: Simplify 0 into 0 53.045 * [backup-simplify]: Simplify 0 into 0 53.046 * [backup-simplify]: Simplify (+ 0) into 0 53.046 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.047 * [backup-simplify]: Simplify (+ 0 0) into 0 53.047 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.049 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.049 * [backup-simplify]: Simplify (- 0) into 0 53.049 * [backup-simplify]: Simplify (+ 0 0) into 0 53.050 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.052 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.052 * [backup-simplify]: Simplify (- 0) into 0 53.052 * [backup-simplify]: Simplify (+ 0 0) into 0 53.053 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.054 * [taylor]: Taking taylor expansion of 0 in phi1 53.054 * [backup-simplify]: Simplify 0 into 0 53.054 * [taylor]: Taking taylor expansion of 0 in phi2 53.054 * [backup-simplify]: Simplify 0 into 0 53.054 * [backup-simplify]: Simplify 0 into 0 53.055 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.057 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.057 * [backup-simplify]: Simplify (- 0) into 0 53.057 * [backup-simplify]: Simplify (+ 0 0) into 0 53.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.059 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.059 * [taylor]: Taking taylor expansion of 0 in phi2 53.059 * [backup-simplify]: Simplify 0 into 0 53.059 * [backup-simplify]: Simplify 0 into 0 53.059 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.061 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.062 * [backup-simplify]: Simplify (- 0) into 0 53.062 * [backup-simplify]: Simplify (+ 0 0) into 0 53.063 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.064 * [backup-simplify]: Simplify 0 into 0 53.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.066 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.066 * [backup-simplify]: Simplify (+ 0 0) into 0 53.067 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.069 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.069 * [backup-simplify]: Simplify (- 0) into 0 53.070 * [backup-simplify]: Simplify (+ 0 0) into 0 53.070 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.073 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.073 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 53.074 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 53.074 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 53.074 * [backup-simplify]: Simplify (+ 0) into 0 53.075 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.076 * [backup-simplify]: Simplify (+ 0 0) into 0 53.076 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.077 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.078 * [backup-simplify]: Simplify (- 0) into 0 53.078 * [backup-simplify]: Simplify (+ 0 0) into 0 53.078 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 53.079 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 53.080 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 53.080 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 53.080 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 53.081 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 53.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 53.082 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.083 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 53.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) 53.085 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) in lambda2 53.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.085 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.085 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.085 * [backup-simplify]: Simplify 1/3 into 1/3 53.085 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.085 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.085 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.085 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.085 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.085 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.085 * [backup-simplify]: Simplify -1/2 into -1/2 53.085 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.085 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.085 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.085 * [backup-simplify]: Simplify phi1 into phi1 53.085 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.085 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.085 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.085 * [backup-simplify]: Simplify phi2 into phi2 53.085 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.085 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.085 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.085 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.085 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.086 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.086 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.086 * [backup-simplify]: Simplify (- 0) into 0 53.086 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.086 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.086 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.087 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.087 * [taylor]: Taking taylor expansion of 2 in lambda2 53.087 * [backup-simplify]: Simplify 2 into 2 53.087 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.087 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.087 * [backup-simplify]: Simplify lambda1 into lambda1 53.087 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.087 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.087 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.087 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.087 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.087 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.087 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 53.087 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 53.087 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 53.087 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.088 * [backup-simplify]: Simplify 1/3 into 1/3 53.088 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 53.088 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 53.088 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.088 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.088 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.088 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.088 * [backup-simplify]: Simplify -1/2 into -1/2 53.088 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.088 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.088 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.088 * [backup-simplify]: Simplify phi1 into phi1 53.088 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.088 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.088 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.088 * [backup-simplify]: Simplify phi2 into phi2 53.088 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.088 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.088 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.088 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.088 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.088 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.088 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.091 * [backup-simplify]: Simplify (- 0) into 0 53.091 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.091 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.091 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.091 * [backup-simplify]: Simplify phi2 into phi2 53.091 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.091 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.091 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 53.092 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.092 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 53.092 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.092 * [backup-simplify]: Simplify 1/3 into 1/3 53.092 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 53.092 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 53.092 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.092 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.092 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.092 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.092 * [backup-simplify]: Simplify -1/2 into -1/2 53.092 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.092 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.092 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.092 * [backup-simplify]: Simplify phi1 into phi1 53.092 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.092 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.092 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.092 * [backup-simplify]: Simplify phi2 into phi2 53.092 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.092 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.092 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.092 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.092 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.092 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.092 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.093 * [backup-simplify]: Simplify (- 0) into 0 53.093 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.093 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.093 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.093 * [backup-simplify]: Simplify phi1 into phi1 53.093 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.093 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.093 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 53.093 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 53.093 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 53.093 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 53.093 * [taylor]: Taking taylor expansion of 2/3 in lambda2 53.093 * [backup-simplify]: Simplify 2/3 into 2/3 53.093 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 53.094 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 53.094 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.094 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.094 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.094 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.094 * [backup-simplify]: Simplify -1/2 into -1/2 53.094 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.094 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.094 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.094 * [backup-simplify]: Simplify phi1 into phi1 53.094 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.094 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.094 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.094 * [backup-simplify]: Simplify phi2 into phi2 53.094 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.094 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.094 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.094 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.094 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.094 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.094 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.095 * [backup-simplify]: Simplify (- 0) into 0 53.095 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.095 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.095 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.095 * [backup-simplify]: Simplify phi1 into phi1 53.095 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.095 * [backup-simplify]: Simplify phi2 into phi2 53.095 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.095 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.095 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 53.095 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 53.095 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 53.095 * [taylor]: Taking taylor expansion of 1/9 in lambda2 53.095 * [backup-simplify]: Simplify 1/9 into 1/9 53.095 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 53.095 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.095 * [backup-simplify]: Simplify 0 into 0 53.095 * [backup-simplify]: Simplify 1 into 1 53.096 * [backup-simplify]: Simplify (* 1 1) into 1 53.096 * [backup-simplify]: Simplify (/ 1 1) into 1 53.096 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.096 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 53.097 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 53.097 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 53.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.099 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 53.099 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 53.100 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.100 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.101 * [backup-simplify]: Simplify (+ 0) into 0 53.101 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.101 * [backup-simplify]: Simplify (+ 0 0) into 0 53.102 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.102 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.103 * [backup-simplify]: Simplify (- 0) into 0 53.103 * [backup-simplify]: Simplify (+ 0 0) into 0 53.103 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.105 * [backup-simplify]: Simplify (- 0) into 0 53.105 * [backup-simplify]: Simplify (+ 0 0) into 0 53.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.106 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.106 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 53.107 * [backup-simplify]: Simplify (+ 0 0) into 0 53.107 * [backup-simplify]: Simplify (- 0) into 0 53.107 * [backup-simplify]: Simplify (+ 0 0) into 0 53.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.108 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.108 * [backup-simplify]: Simplify (+ 0 0) into 0 53.109 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.109 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.110 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.110 * [backup-simplify]: Simplify (- 0) into 0 53.110 * [backup-simplify]: Simplify (+ 0 0) into 0 53.111 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.114 * [backup-simplify]: Simplify (- 0) into 0 53.115 * [backup-simplify]: Simplify (+ 0 0) into 0 53.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.118 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 53.119 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 53.119 * [backup-simplify]: Simplify (- 1/9) into -1/9 53.119 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 53.122 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) (+ (* 0 0) (* 0 -1/9))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.122 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 53.122 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in phi1 53.122 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 53.122 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.122 * [backup-simplify]: Simplify 1/3 into 1/3 53.122 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 53.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.122 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.123 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.123 * [backup-simplify]: Simplify 1/3 into 1/3 53.123 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.123 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.123 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.123 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.123 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.123 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.123 * [backup-simplify]: Simplify -1/2 into -1/2 53.123 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.123 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.123 * [taylor]: Taking taylor expansion of phi1 in phi1 53.123 * [backup-simplify]: Simplify 0 into 0 53.123 * [backup-simplify]: Simplify 1 into 1 53.123 * [backup-simplify]: Simplify (/ 1 1) into 1 53.123 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.123 * [taylor]: Taking taylor expansion of phi2 in phi1 53.123 * [backup-simplify]: Simplify phi2 into phi2 53.123 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.124 * [backup-simplify]: Simplify (+ 1 0) into 1 53.124 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.125 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.125 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.125 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.125 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.125 * [taylor]: Taking taylor expansion of 2 in phi1 53.125 * [backup-simplify]: Simplify 2 into 2 53.125 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.125 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.125 * [backup-simplify]: Simplify lambda1 into lambda1 53.125 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.125 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.125 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.126 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.126 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.126 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.126 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 53.126 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.126 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.126 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.126 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.126 * [backup-simplify]: Simplify -1/2 into -1/2 53.126 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.126 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.127 * [taylor]: Taking taylor expansion of phi1 in phi1 53.127 * [backup-simplify]: Simplify 0 into 0 53.127 * [backup-simplify]: Simplify 1 into 1 53.127 * [backup-simplify]: Simplify (/ 1 1) into 1 53.127 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.127 * [taylor]: Taking taylor expansion of phi2 in phi1 53.127 * [backup-simplify]: Simplify phi2 into phi2 53.127 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.128 * [backup-simplify]: Simplify (+ 1 0) into 1 53.128 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.128 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.128 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.128 * [taylor]: Taking taylor expansion of phi2 in phi1 53.128 * [backup-simplify]: Simplify phi2 into phi2 53.129 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.129 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.129 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 53.129 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.130 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 53.130 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.130 * [backup-simplify]: Simplify 1/3 into 1/3 53.130 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 53.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.130 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.130 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.130 * [backup-simplify]: Simplify 1/3 into 1/3 53.130 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.130 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.130 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.130 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.130 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.130 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.130 * [backup-simplify]: Simplify -1/2 into -1/2 53.130 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.130 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.130 * [taylor]: Taking taylor expansion of phi1 in phi1 53.130 * [backup-simplify]: Simplify 0 into 0 53.130 * [backup-simplify]: Simplify 1 into 1 53.131 * [backup-simplify]: Simplify (/ 1 1) into 1 53.131 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.131 * [taylor]: Taking taylor expansion of phi2 in phi1 53.131 * [backup-simplify]: Simplify phi2 into phi2 53.131 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.131 * [backup-simplify]: Simplify (+ 1 0) into 1 53.132 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.132 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.132 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.132 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.132 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.132 * [taylor]: Taking taylor expansion of 2 in phi1 53.132 * [backup-simplify]: Simplify 2 into 2 53.132 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.132 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.132 * [backup-simplify]: Simplify lambda1 into lambda1 53.133 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.133 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.133 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.133 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.134 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.134 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.134 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 53.134 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.134 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.134 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.134 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.134 * [backup-simplify]: Simplify -1/2 into -1/2 53.134 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.134 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.134 * [taylor]: Taking taylor expansion of phi1 in phi1 53.134 * [backup-simplify]: Simplify 0 into 0 53.134 * [backup-simplify]: Simplify 1 into 1 53.135 * [backup-simplify]: Simplify (/ 1 1) into 1 53.135 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.135 * [taylor]: Taking taylor expansion of phi2 in phi1 53.135 * [backup-simplify]: Simplify phi2 into phi2 53.135 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.136 * [backup-simplify]: Simplify (+ 1 0) into 1 53.136 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.136 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.136 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.136 * [taylor]: Taking taylor expansion of phi1 in phi1 53.136 * [backup-simplify]: Simplify 0 into 0 53.136 * [backup-simplify]: Simplify 1 into 1 53.137 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.137 * [backup-simplify]: Simplify (* 1 1) into 1 53.137 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.138 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.138 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 53.138 * [taylor]: Taking taylor expansion of 2/3 in phi1 53.138 * [backup-simplify]: Simplify 2/3 into 2/3 53.138 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 53.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.138 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.138 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.138 * [backup-simplify]: Simplify 1/3 into 1/3 53.138 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.138 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.138 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.138 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.138 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.138 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.138 * [backup-simplify]: Simplify -1/2 into -1/2 53.138 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.138 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.138 * [taylor]: Taking taylor expansion of phi1 in phi1 53.138 * [backup-simplify]: Simplify 0 into 0 53.138 * [backup-simplify]: Simplify 1 into 1 53.139 * [backup-simplify]: Simplify (/ 1 1) into 1 53.139 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.139 * [taylor]: Taking taylor expansion of phi2 in phi1 53.139 * [backup-simplify]: Simplify phi2 into phi2 53.139 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.139 * [backup-simplify]: Simplify (+ 1 0) into 1 53.140 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.140 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.140 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.140 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.141 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.141 * [taylor]: Taking taylor expansion of 2 in phi1 53.141 * [backup-simplify]: Simplify 2 into 2 53.141 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.141 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.141 * [backup-simplify]: Simplify lambda1 into lambda1 53.141 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.141 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.141 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.141 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.141 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.142 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.142 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 53.142 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.142 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.142 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.142 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.142 * [backup-simplify]: Simplify -1/2 into -1/2 53.142 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.142 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.142 * [taylor]: Taking taylor expansion of phi1 in phi1 53.142 * [backup-simplify]: Simplify 0 into 0 53.142 * [backup-simplify]: Simplify 1 into 1 53.142 * [backup-simplify]: Simplify (/ 1 1) into 1 53.142 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.142 * [taylor]: Taking taylor expansion of phi2 in phi1 53.142 * [backup-simplify]: Simplify phi2 into phi2 53.142 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.143 * [backup-simplify]: Simplify (+ 1 0) into 1 53.143 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.143 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.144 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.144 * [taylor]: Taking taylor expansion of phi1 in phi1 53.144 * [backup-simplify]: Simplify 0 into 0 53.144 * [backup-simplify]: Simplify 1 into 1 53.144 * [taylor]: Taking taylor expansion of phi2 in phi1 53.144 * [backup-simplify]: Simplify phi2 into phi2 53.144 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.144 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.144 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 53.145 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.145 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.145 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 53.146 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 53.146 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.147 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.149 * [backup-simplify]: Simplify (- 0) into 0 53.150 * [backup-simplify]: Simplify (+ 0 0) into 0 53.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.151 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.156 * [backup-simplify]: Simplify (- 0) into 0 53.157 * [backup-simplify]: Simplify (+ 0 0) into 0 53.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.159 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.160 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.161 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.162 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 53.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.164 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 53.165 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.166 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.167 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.168 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.170 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.170 * [backup-simplify]: Simplify (- 0) into 0 53.171 * [backup-simplify]: Simplify (+ 0 0) into 0 53.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.172 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 53.174 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.174 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 53.175 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 53.176 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 53.177 * [backup-simplify]: Simplify (- 0) into 0 53.177 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.177 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 53.177 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.177 * [backup-simplify]: Simplify 1/3 into 1/3 53.177 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 53.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 53.177 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 53.178 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.178 * [backup-simplify]: Simplify 1/3 into 1/3 53.178 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 53.178 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 53.178 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.178 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.178 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.178 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.178 * [backup-simplify]: Simplify -1/2 into -1/2 53.178 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.178 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.178 * [taylor]: Taking taylor expansion of phi1 in phi2 53.178 * [backup-simplify]: Simplify phi1 into phi1 53.178 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.178 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.178 * [taylor]: Taking taylor expansion of phi2 in phi2 53.178 * [backup-simplify]: Simplify 0 into 0 53.178 * [backup-simplify]: Simplify 1 into 1 53.178 * [backup-simplify]: Simplify (/ 1 1) into 1 53.179 * [backup-simplify]: Simplify (+ 0 1) into 1 53.179 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.179 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.180 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.180 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.180 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 53.180 * [taylor]: Taking taylor expansion of 2 in phi2 53.180 * [backup-simplify]: Simplify 2 into 2 53.180 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 53.180 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.180 * [backup-simplify]: Simplify lambda1 into lambda1 53.180 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.180 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.180 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.180 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.181 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.181 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.181 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 53.181 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.181 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.181 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.181 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.181 * [backup-simplify]: Simplify -1/2 into -1/2 53.181 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.181 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.181 * [taylor]: Taking taylor expansion of phi1 in phi2 53.181 * [backup-simplify]: Simplify phi1 into phi1 53.181 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.181 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.181 * [taylor]: Taking taylor expansion of phi2 in phi2 53.181 * [backup-simplify]: Simplify 0 into 0 53.181 * [backup-simplify]: Simplify 1 into 1 53.182 * [backup-simplify]: Simplify (/ 1 1) into 1 53.182 * [backup-simplify]: Simplify (+ 0 1) into 1 53.183 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.183 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.183 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.183 * [taylor]: Taking taylor expansion of phi2 in phi2 53.183 * [backup-simplify]: Simplify 0 into 0 53.183 * [backup-simplify]: Simplify 1 into 1 53.183 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.183 * [backup-simplify]: Simplify (* 1 1) into 1 53.184 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.184 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.184 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.186 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.186 * [backup-simplify]: Simplify (- 0) into 0 53.186 * [backup-simplify]: Simplify (+ 0 0) into 0 53.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.187 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.190 * [backup-simplify]: Simplify (- 0) into 0 53.190 * [backup-simplify]: Simplify (+ 0 0) into 0 53.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.192 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.193 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.194 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 53.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.195 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 53.195 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.196 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.196 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.196 * [backup-simplify]: Simplify 0 into 0 53.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.197 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.198 * [backup-simplify]: Simplify (+ 0 0) into 0 53.199 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.199 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.200 * [backup-simplify]: Simplify (- 0) into 0 53.200 * [backup-simplify]: Simplify (+ 0 0) into 0 53.200 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.206 * [backup-simplify]: Simplify (- 0) into 0 53.206 * [backup-simplify]: Simplify (+ 0 0) into 0 53.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.209 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 53.209 * [taylor]: Taking taylor expansion of 0 in phi1 53.210 * [backup-simplify]: Simplify 0 into 0 53.210 * [taylor]: Taking taylor expansion of 0 in phi2 53.210 * [backup-simplify]: Simplify 0 into 0 53.210 * [backup-simplify]: Simplify 0 into 0 53.210 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 53.210 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 53.210 * [backup-simplify]: Simplify (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) 53.210 * [approximate]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 53.210 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi2 53.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi2 53.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi2 53.210 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.210 * [backup-simplify]: Simplify 1/3 into 1/3 53.210 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 53.211 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 53.211 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 53.211 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 53.211 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 53.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 53.211 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 53.211 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.211 * [backup-simplify]: Simplify 1/2 into 1/2 53.211 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 53.211 * [taylor]: Taking taylor expansion of phi1 in phi2 53.211 * [backup-simplify]: Simplify phi1 into phi1 53.211 * [taylor]: Taking taylor expansion of phi2 in phi2 53.211 * [backup-simplify]: Simplify 0 into 0 53.211 * [backup-simplify]: Simplify 1 into 1 53.211 * [backup-simplify]: Simplify (+ phi1 0) into phi1 53.211 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 53.211 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 53.211 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 53.211 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 53.211 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 53.211 * [backup-simplify]: Simplify (- 0) into 0 53.211 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 53.211 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 53.211 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.211 * [backup-simplify]: Simplify lambda1 into lambda1 53.211 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 53.211 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.211 * [taylor]: Taking taylor expansion of phi2 in phi2 53.211 * [backup-simplify]: Simplify 0 into 0 53.211 * [backup-simplify]: Simplify 1 into 1 53.211 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 53.211 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 53.211 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 53.211 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.212 * [backup-simplify]: Simplify lambda2 into lambda2 53.212 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 53.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 53.212 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 53.212 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.212 * [backup-simplify]: Simplify 1/2 into 1/2 53.212 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 53.212 * [taylor]: Taking taylor expansion of phi1 in phi2 53.212 * [backup-simplify]: Simplify phi1 into phi1 53.212 * [taylor]: Taking taylor expansion of phi2 in phi2 53.212 * [backup-simplify]: Simplify 0 into 0 53.212 * [backup-simplify]: Simplify 1 into 1 53.212 * [backup-simplify]: Simplify (+ phi1 0) into phi1 53.212 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 53.212 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 53.212 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 53.212 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 53.212 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 53.212 * [backup-simplify]: Simplify (- 0) into 0 53.212 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 53.212 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 53.212 * [taylor]: Taking taylor expansion of phi1 in phi2 53.212 * [backup-simplify]: Simplify phi1 into phi1 53.212 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 53.212 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 53.212 * [taylor]: Taking taylor expansion of 2 in phi2 53.212 * [backup-simplify]: Simplify 2 into 2 53.212 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 53.212 * [taylor]: Taking taylor expansion of phi1 in phi2 53.212 * [backup-simplify]: Simplify phi1 into phi1 53.212 * [taylor]: Taking taylor expansion of phi2 in phi2 53.212 * [backup-simplify]: Simplify 0 into 0 53.212 * [backup-simplify]: Simplify 1 into 1 53.212 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 53.212 * [taylor]: Taking taylor expansion of 2 in phi2 53.212 * [backup-simplify]: Simplify 2 into 2 53.212 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 53.212 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 53.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 53.213 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 53.213 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.213 * [backup-simplify]: Simplify 1/2 into 1/2 53.213 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 53.213 * [taylor]: Taking taylor expansion of phi1 in phi2 53.213 * [backup-simplify]: Simplify phi1 into phi1 53.213 * [taylor]: Taking taylor expansion of phi2 in phi2 53.213 * [backup-simplify]: Simplify 0 into 0 53.213 * [backup-simplify]: Simplify 1 into 1 53.213 * [backup-simplify]: Simplify (+ phi1 0) into phi1 53.213 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 53.213 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 53.213 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 53.213 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 53.213 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 53.213 * [backup-simplify]: Simplify (- 0) into 0 53.213 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 53.213 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 53.213 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.213 * [backup-simplify]: Simplify lambda2 into lambda2 53.213 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.213 * [backup-simplify]: Simplify lambda1 into lambda1 53.213 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 53.213 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.213 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 53.213 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.214 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 53.214 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 53.214 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.214 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 53.214 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 53.214 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 53.214 * [backup-simplify]: Simplify (* phi1 0) into 0 53.215 * [backup-simplify]: Simplify (* 2 0) into 0 53.215 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 53.215 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.215 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 53.215 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 53.215 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 53.215 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 53.216 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 53.216 * [backup-simplify]: Simplify (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 53.217 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) into (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) 53.217 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (pow (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1/3) 53.217 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi1 53.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi1 53.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi1 53.218 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.218 * [backup-simplify]: Simplify 1/3 into 1/3 53.218 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 53.218 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 53.218 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 53.218 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 53.218 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.218 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.218 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.218 * [backup-simplify]: Simplify 1/2 into 1/2 53.218 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.218 * [taylor]: Taking taylor expansion of phi1 in phi1 53.218 * [backup-simplify]: Simplify 0 into 0 53.218 * [backup-simplify]: Simplify 1 into 1 53.218 * [taylor]: Taking taylor expansion of phi2 in phi1 53.218 * [backup-simplify]: Simplify phi2 into phi2 53.218 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.218 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.218 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.218 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.218 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.218 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.218 * [backup-simplify]: Simplify (- 0) into 0 53.218 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.218 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 53.218 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.218 * [backup-simplify]: Simplify lambda1 into lambda1 53.218 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 53.219 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.219 * [taylor]: Taking taylor expansion of phi2 in phi1 53.219 * [backup-simplify]: Simplify phi2 into phi2 53.219 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 53.219 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 53.219 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 53.219 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.219 * [backup-simplify]: Simplify lambda2 into lambda2 53.219 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.219 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.219 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.219 * [backup-simplify]: Simplify 1/2 into 1/2 53.219 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.219 * [taylor]: Taking taylor expansion of phi1 in phi1 53.219 * [backup-simplify]: Simplify 0 into 0 53.219 * [backup-simplify]: Simplify 1 into 1 53.219 * [taylor]: Taking taylor expansion of phi2 in phi1 53.219 * [backup-simplify]: Simplify phi2 into phi2 53.219 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.219 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.219 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.219 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.219 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.219 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.219 * [backup-simplify]: Simplify (- 0) into 0 53.219 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.219 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.219 * [taylor]: Taking taylor expansion of phi1 in phi1 53.219 * [backup-simplify]: Simplify 0 into 0 53.219 * [backup-simplify]: Simplify 1 into 1 53.219 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 53.219 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 53.219 * [taylor]: Taking taylor expansion of 2 in phi1 53.219 * [backup-simplify]: Simplify 2 into 2 53.219 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.219 * [taylor]: Taking taylor expansion of phi1 in phi1 53.219 * [backup-simplify]: Simplify 0 into 0 53.219 * [backup-simplify]: Simplify 1 into 1 53.219 * [taylor]: Taking taylor expansion of phi2 in phi1 53.220 * [backup-simplify]: Simplify phi2 into phi2 53.220 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 53.220 * [taylor]: Taking taylor expansion of 2 in phi1 53.220 * [backup-simplify]: Simplify 2 into 2 53.220 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 53.220 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.220 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.220 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.220 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.220 * [backup-simplify]: Simplify 1/2 into 1/2 53.220 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.220 * [taylor]: Taking taylor expansion of phi1 in phi1 53.220 * [backup-simplify]: Simplify 0 into 0 53.220 * [backup-simplify]: Simplify 1 into 1 53.220 * [taylor]: Taking taylor expansion of phi2 in phi1 53.220 * [backup-simplify]: Simplify phi2 into phi2 53.220 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.220 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.220 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.220 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.220 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.220 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.220 * [backup-simplify]: Simplify (- 0) into 0 53.220 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.220 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 53.220 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.220 * [backup-simplify]: Simplify lambda2 into lambda2 53.220 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.220 * [backup-simplify]: Simplify lambda1 into lambda1 53.220 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.220 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.221 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 53.221 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.221 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.221 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.221 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 53.221 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 53.221 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 53.221 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 53.221 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.222 * [backup-simplify]: Simplify (* 2 0) into 0 53.222 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.222 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.222 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 53.222 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 53.222 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 53.222 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 53.223 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 53.223 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 53.224 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) 53.224 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (pow (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1/3) 53.224 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 53.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda2 53.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda2 53.225 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.225 * [backup-simplify]: Simplify 1/3 into 1/3 53.225 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 53.225 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 53.225 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 53.225 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 53.225 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.225 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.225 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.225 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.225 * [backup-simplify]: Simplify 1/2 into 1/2 53.225 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.225 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.225 * [backup-simplify]: Simplify phi1 into phi1 53.225 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.225 * [backup-simplify]: Simplify phi2 into phi2 53.225 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.225 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.225 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.225 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.225 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.225 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.225 * [backup-simplify]: Simplify (- 0) into 0 53.226 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.226 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 53.226 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.226 * [backup-simplify]: Simplify lambda1 into lambda1 53.226 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.226 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.226 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.226 * [backup-simplify]: Simplify phi2 into phi2 53.226 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.226 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.226 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.226 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.226 * [backup-simplify]: Simplify 0 into 0 53.226 * [backup-simplify]: Simplify 1 into 1 53.226 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.226 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.226 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.226 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.226 * [backup-simplify]: Simplify 1/2 into 1/2 53.226 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.226 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.226 * [backup-simplify]: Simplify phi1 into phi1 53.226 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.226 * [backup-simplify]: Simplify phi2 into phi2 53.226 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.226 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.226 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.226 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.226 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.226 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.226 * [backup-simplify]: Simplify (- 0) into 0 53.226 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.227 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.227 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.227 * [backup-simplify]: Simplify phi1 into phi1 53.227 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 53.227 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.227 * [taylor]: Taking taylor expansion of 2 in lambda2 53.227 * [backup-simplify]: Simplify 2 into 2 53.227 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.227 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.227 * [backup-simplify]: Simplify phi1 into phi1 53.227 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.227 * [backup-simplify]: Simplify phi2 into phi2 53.227 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 53.227 * [taylor]: Taking taylor expansion of 2 in lambda2 53.227 * [backup-simplify]: Simplify 2 into 2 53.227 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 53.227 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.227 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.227 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.227 * [backup-simplify]: Simplify 1/2 into 1/2 53.227 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.227 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.227 * [backup-simplify]: Simplify phi1 into phi1 53.227 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.227 * [backup-simplify]: Simplify phi2 into phi2 53.227 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.227 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.227 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.227 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.227 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.227 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.227 * [backup-simplify]: Simplify (- 0) into 0 53.227 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.227 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 53.228 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.228 * [backup-simplify]: Simplify 0 into 0 53.228 * [backup-simplify]: Simplify 1 into 1 53.228 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.228 * [backup-simplify]: Simplify lambda1 into lambda1 53.228 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.228 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.228 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.228 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.228 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.228 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.228 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.228 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 53.228 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.228 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.228 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.228 * [backup-simplify]: Simplify (* 0 lambda1) into 0 53.229 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.229 * [backup-simplify]: Simplify (* 2 0) into 0 53.229 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 53.229 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.229 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 53.230 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 53.230 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) 53.230 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1/3) 53.230 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 53.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 53.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 53.231 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.231 * [backup-simplify]: Simplify 1/3 into 1/3 53.231 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 53.231 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 53.231 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 53.231 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 53.231 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.231 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.231 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.231 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.231 * [backup-simplify]: Simplify 1/2 into 1/2 53.231 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.231 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.231 * [backup-simplify]: Simplify phi1 into phi1 53.231 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.231 * [backup-simplify]: Simplify phi2 into phi2 53.231 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.231 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.231 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.231 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.231 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.231 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.231 * [backup-simplify]: Simplify (- 0) into 0 53.231 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.231 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.232 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.232 * [backup-simplify]: Simplify 0 into 0 53.232 * [backup-simplify]: Simplify 1 into 1 53.232 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 53.232 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.232 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.232 * [backup-simplify]: Simplify phi2 into phi2 53.232 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 53.232 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 53.232 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.232 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.232 * [backup-simplify]: Simplify lambda2 into lambda2 53.232 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.232 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.232 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.232 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.232 * [backup-simplify]: Simplify 1/2 into 1/2 53.232 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.232 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.232 * [backup-simplify]: Simplify phi1 into phi1 53.232 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.232 * [backup-simplify]: Simplify phi2 into phi2 53.232 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.232 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.232 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.232 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.232 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.232 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.232 * [backup-simplify]: Simplify (- 0) into 0 53.232 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.232 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.233 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.233 * [backup-simplify]: Simplify phi1 into phi1 53.233 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 53.233 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 53.233 * [taylor]: Taking taylor expansion of 2 in lambda1 53.233 * [backup-simplify]: Simplify 2 into 2 53.233 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.233 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.233 * [backup-simplify]: Simplify phi1 into phi1 53.233 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.233 * [backup-simplify]: Simplify phi2 into phi2 53.233 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 53.233 * [taylor]: Taking taylor expansion of 2 in lambda1 53.233 * [backup-simplify]: Simplify 2 into 2 53.233 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 53.233 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.233 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.233 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.233 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.233 * [backup-simplify]: Simplify 1/2 into 1/2 53.233 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.233 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.233 * [backup-simplify]: Simplify phi1 into phi1 53.233 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.233 * [backup-simplify]: Simplify phi2 into phi2 53.233 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.233 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.233 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.233 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.233 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.233 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.233 * [backup-simplify]: Simplify (- 0) into 0 53.233 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.234 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 53.234 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.234 * [backup-simplify]: Simplify lambda2 into lambda2 53.234 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.234 * [backup-simplify]: Simplify 0 into 0 53.234 * [backup-simplify]: Simplify 1 into 1 53.234 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.234 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.234 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.234 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.234 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.234 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 53.234 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.235 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.235 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.235 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.235 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.235 * [backup-simplify]: Simplify (* lambda2 0) into 0 53.235 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.235 * [backup-simplify]: Simplify (* 2 0) into 0 53.235 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 53.235 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.236 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 53.236 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 53.237 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 53.237 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 53.237 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 53.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 53.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 53.237 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.237 * [backup-simplify]: Simplify 1/3 into 1/3 53.237 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 53.237 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 53.237 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 53.237 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 53.237 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.237 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.237 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.237 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.237 * [backup-simplify]: Simplify 1/2 into 1/2 53.237 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.237 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.237 * [backup-simplify]: Simplify phi1 into phi1 53.237 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.237 * [backup-simplify]: Simplify phi2 into phi2 53.237 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.237 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.238 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.238 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.238 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.238 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.238 * [backup-simplify]: Simplify (- 0) into 0 53.238 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.238 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.238 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.238 * [backup-simplify]: Simplify 0 into 0 53.238 * [backup-simplify]: Simplify 1 into 1 53.238 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 53.238 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.238 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.238 * [backup-simplify]: Simplify phi2 into phi2 53.238 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 53.238 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 53.238 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.238 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.238 * [backup-simplify]: Simplify lambda2 into lambda2 53.238 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.238 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.238 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.238 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.238 * [backup-simplify]: Simplify 1/2 into 1/2 53.238 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.238 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.238 * [backup-simplify]: Simplify phi1 into phi1 53.238 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.238 * [backup-simplify]: Simplify phi2 into phi2 53.239 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.239 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.239 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.239 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.239 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.239 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.239 * [backup-simplify]: Simplify (- 0) into 0 53.239 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.239 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.239 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.239 * [backup-simplify]: Simplify phi1 into phi1 53.240 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 53.240 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 53.240 * [taylor]: Taking taylor expansion of 2 in lambda1 53.240 * [backup-simplify]: Simplify 2 into 2 53.240 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.240 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.240 * [backup-simplify]: Simplify phi1 into phi1 53.240 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.240 * [backup-simplify]: Simplify phi2 into phi2 53.240 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 53.240 * [taylor]: Taking taylor expansion of 2 in lambda1 53.240 * [backup-simplify]: Simplify 2 into 2 53.240 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 53.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.240 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.240 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.240 * [backup-simplify]: Simplify 1/2 into 1/2 53.240 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.240 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.240 * [backup-simplify]: Simplify phi1 into phi1 53.240 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.240 * [backup-simplify]: Simplify phi2 into phi2 53.240 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.240 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.240 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.240 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.240 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.240 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.240 * [backup-simplify]: Simplify (- 0) into 0 53.240 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.240 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 53.241 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.241 * [backup-simplify]: Simplify lambda2 into lambda2 53.241 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.241 * [backup-simplify]: Simplify 0 into 0 53.241 * [backup-simplify]: Simplify 1 into 1 53.241 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.241 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.241 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.241 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.241 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.241 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 53.241 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.242 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.242 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.242 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.242 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.242 * [backup-simplify]: Simplify (* lambda2 0) into 0 53.242 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.242 * [backup-simplify]: Simplify (* 2 0) into 0 53.242 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 53.242 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.243 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 53.243 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 53.243 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 53.244 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 53.244 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 53.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 53.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 53.244 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.244 * [backup-simplify]: Simplify 1/3 into 1/3 53.244 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 53.244 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.244 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.244 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.244 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.244 * [backup-simplify]: Simplify phi2 into phi2 53.244 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.244 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.244 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.244 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.244 * [backup-simplify]: Simplify 0 into 0 53.244 * [backup-simplify]: Simplify 1 into 1 53.244 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.244 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.244 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.244 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.244 * [backup-simplify]: Simplify 1/2 into 1/2 53.244 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.244 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.244 * [backup-simplify]: Simplify phi1 into phi1 53.244 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.244 * [backup-simplify]: Simplify phi2 into phi2 53.244 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.244 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.244 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.245 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.245 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.245 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.245 * [backup-simplify]: Simplify (- 0) into 0 53.245 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.245 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.245 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.245 * [backup-simplify]: Simplify phi1 into phi1 53.245 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.245 * [taylor]: Taking taylor expansion of 2 in lambda2 53.246 * [backup-simplify]: Simplify 2 into 2 53.246 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.246 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.246 * [backup-simplify]: Simplify phi1 into phi1 53.246 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.246 * [backup-simplify]: Simplify phi2 into phi2 53.246 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.246 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.246 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.246 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.246 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.246 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.246 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.246 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.247 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 53.247 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.247 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 53.247 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) in phi1 53.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 53.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 53.247 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.247 * [backup-simplify]: Simplify 1/3 into 1/3 53.247 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 53.247 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 53.247 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 53.247 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.247 * [taylor]: Taking taylor expansion of phi2 in phi1 53.247 * [backup-simplify]: Simplify phi2 into phi2 53.248 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.248 * [taylor]: Taking taylor expansion of phi1 in phi1 53.248 * [backup-simplify]: Simplify 0 into 0 53.248 * [backup-simplify]: Simplify 1 into 1 53.248 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 53.248 * [taylor]: Taking taylor expansion of 2 in phi1 53.248 * [backup-simplify]: Simplify 2 into 2 53.248 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.248 * [taylor]: Taking taylor expansion of phi1 in phi1 53.248 * [backup-simplify]: Simplify 0 into 0 53.248 * [backup-simplify]: Simplify 1 into 1 53.248 * [taylor]: Taking taylor expansion of phi2 in phi1 53.248 * [backup-simplify]: Simplify phi2 into phi2 53.248 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.248 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.248 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.249 * [backup-simplify]: Simplify (* 2 0) into 0 53.249 * [backup-simplify]: Simplify (- 0) into 0 53.249 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.249 * [backup-simplify]: Simplify (log (pow phi2 2)) into (log (pow phi2 2)) 53.249 * [backup-simplify]: Simplify (* 1/3 (log (pow phi2 2))) into (* 1/3 (log (pow phi2 2))) 53.249 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow phi2 2)))) into (pow (pow phi2 2) 1/3) 53.250 * [taylor]: Taking taylor expansion of (pow (pow phi2 2) 1/3) in phi2 53.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow phi2 2)))) in phi2 53.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow phi2 2))) in phi2 53.250 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.250 * [backup-simplify]: Simplify 1/3 into 1/3 53.250 * [taylor]: Taking taylor expansion of (log (pow phi2 2)) in phi2 53.250 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.250 * [taylor]: Taking taylor expansion of phi2 in phi2 53.250 * [backup-simplify]: Simplify 0 into 0 53.250 * [backup-simplify]: Simplify 1 into 1 53.250 * [backup-simplify]: Simplify (* 1 1) into 1 53.251 * [backup-simplify]: Simplify (log 1) into 0 53.251 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 53.251 * [backup-simplify]: Simplify (* 1/3 (* 2 (log phi2))) into (* 2/3 (log phi2)) 53.251 * [backup-simplify]: Simplify (exp (* 2/3 (log phi2))) into (pow phi2 2/3) 53.251 * [backup-simplify]: Simplify (pow phi2 2/3) into (pow phi2 2/3) 53.251 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 53.252 * [backup-simplify]: Simplify (+ 0) into 0 53.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 53.253 * [backup-simplify]: Simplify (+ 0 0) into 0 53.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 53.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.255 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 53.255 * [backup-simplify]: Simplify (- 0) into 0 53.255 * [backup-simplify]: Simplify (+ 0 0) into 0 53.256 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 53.256 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 53.256 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 53.256 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 53.256 * [backup-simplify]: Simplify (+ 0 0) into 0 53.257 * [backup-simplify]: Simplify (+ 0 0) into 0 53.257 * [backup-simplify]: Simplify (+ 0 0) into 0 53.257 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 53.258 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 53.258 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 53.259 * [backup-simplify]: Simplify (+ 0) into 0 53.259 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 53.259 * [backup-simplify]: Simplify (+ 0 0) into 0 53.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 53.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.261 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 53.261 * [backup-simplify]: Simplify (- 0) into 0 53.262 * [backup-simplify]: Simplify (+ 0 0) into 0 53.262 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 53.263 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.263 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 53.263 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 53.264 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 53.264 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 53.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 1) into (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 53.267 * [backup-simplify]: Simplify (+ (* 1/3 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 53.269 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 1) 1)))) into (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) 53.269 * [taylor]: Taking taylor expansion of (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) in lambda2 53.269 * [taylor]: Taking taylor expansion of -2/3 in lambda2 53.269 * [backup-simplify]: Simplify -2/3 into -2/3 53.269 * [taylor]: Taking taylor expansion of (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3)) in lambda2 53.269 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 53.269 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.269 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.269 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.269 * [backup-simplify]: Simplify 1/2 into 1/2 53.269 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.269 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.269 * [backup-simplify]: Simplify phi1 into phi1 53.269 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.269 * [backup-simplify]: Simplify phi2 into phi2 53.269 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.270 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.270 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.270 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.270 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.270 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.271 * [backup-simplify]: Simplify (- 0) into 0 53.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.271 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.271 * [backup-simplify]: Simplify 0 into 0 53.271 * [backup-simplify]: Simplify 1 into 1 53.271 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3) in lambda2 53.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 53.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 53.271 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.271 * [backup-simplify]: Simplify 1/3 into 1/3 53.271 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 53.271 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 53.271 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 53.271 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.271 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.271 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.271 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.271 * [backup-simplify]: Simplify phi2 into phi2 53.271 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.271 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.271 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.271 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.271 * [backup-simplify]: Simplify 0 into 0 53.271 * [backup-simplify]: Simplify 1 into 1 53.271 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.271 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.271 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.271 * [backup-simplify]: Simplify 1/2 into 1/2 53.272 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.272 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.272 * [backup-simplify]: Simplify phi1 into phi1 53.272 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.272 * [backup-simplify]: Simplify phi2 into phi2 53.272 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.272 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.272 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.272 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.272 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.272 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.273 * [backup-simplify]: Simplify (- 0) into 0 53.273 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.273 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.273 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.273 * [backup-simplify]: Simplify phi1 into phi1 53.273 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.273 * [taylor]: Taking taylor expansion of 2 in lambda2 53.273 * [backup-simplify]: Simplify 2 into 2 53.273 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.273 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.273 * [backup-simplify]: Simplify phi1 into phi1 53.273 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.273 * [backup-simplify]: Simplify phi2 into phi2 53.273 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.273 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.273 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.273 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.273 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.273 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.273 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.274 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.274 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 53.275 * [backup-simplify]: Simplify (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 53.275 * [backup-simplify]: Simplify (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) into (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) 53.275 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) into (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) 53.276 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) into (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) 53.276 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.276 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.276 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) into 0 53.277 * [backup-simplify]: Simplify (* -2/3 0) into 0 53.277 * [taylor]: Taking taylor expansion of 0 in phi1 53.277 * [backup-simplify]: Simplify 0 into 0 53.277 * [taylor]: Taking taylor expansion of 0 in phi2 53.277 * [backup-simplify]: Simplify 0 into 0 53.277 * [backup-simplify]: Simplify 0 into 0 53.277 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 53.277 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 53.278 * [backup-simplify]: Simplify (+ 0 0) into 0 53.278 * [backup-simplify]: Simplify (+ 0 0) into 0 53.278 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 53.279 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 53.279 * [backup-simplify]: Simplify (- 0) into 0 53.280 * [backup-simplify]: Simplify (+ 0 0) into 0 53.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1)))) 1) into 0 53.281 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 53.283 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.283 * [taylor]: Taking taylor expansion of 0 in phi1 53.283 * [backup-simplify]: Simplify 0 into 0 53.283 * [taylor]: Taking taylor expansion of 0 in phi2 53.283 * [backup-simplify]: Simplify 0 into 0 53.283 * [backup-simplify]: Simplify 0 into 0 53.283 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 53.283 * [backup-simplify]: Simplify (+ 0 0) into 0 53.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.284 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 53.284 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 53.284 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 53.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 phi2))) 1)) (pow (pow phi2 2) 1)))) 1) into (/ -2 phi2) 53.285 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 phi2)) (* 0 (log (pow phi2 2)))) into (- (* 2/3 (/ 1 phi2))) 53.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow phi2 2)))) (+ (* (/ (pow (- (* 2/3 (/ 1 phi2))) 1) 1)))) into (* -2/3 (pow (/ 1 phi2) 1/3)) 53.285 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ 1 phi2) 1/3)) in phi2 53.285 * [taylor]: Taking taylor expansion of -2/3 in phi2 53.285 * [backup-simplify]: Simplify -2/3 into -2/3 53.285 * [taylor]: Taking taylor expansion of (pow (/ 1 phi2) 1/3) in phi2 53.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 phi2)))) in phi2 53.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 phi2))) in phi2 53.285 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.285 * [backup-simplify]: Simplify 1/3 into 1/3 53.285 * [taylor]: Taking taylor expansion of (log (/ 1 phi2)) in phi2 53.285 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.285 * [taylor]: Taking taylor expansion of phi2 in phi2 53.285 * [backup-simplify]: Simplify 0 into 0 53.285 * [backup-simplify]: Simplify 1 into 1 53.286 * [backup-simplify]: Simplify (/ 1 1) into 1 53.286 * [backup-simplify]: Simplify (log 1) into 0 53.286 * [backup-simplify]: Simplify (+ (* (- 1) (log phi2)) 0) into (- (log phi2)) 53.286 * [backup-simplify]: Simplify (* 1/3 (- (log phi2))) into (* -1/3 (log phi2)) 53.286 * [backup-simplify]: Simplify (exp (* -1/3 (log phi2))) into (pow phi2 -1/3) 53.287 * [backup-simplify]: Simplify (* -2/3 (pow phi2 -1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 53.287 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 phi2) 1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 53.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 53.289 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 53.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log phi2)))) into 0 53.290 * [backup-simplify]: Simplify (* (exp (* 2/3 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 53.290 * [backup-simplify]: Simplify 0 into 0 53.291 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.291 * [backup-simplify]: Simplify (* 1 1) into 1 53.291 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.292 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 53.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 53.294 * [backup-simplify]: Simplify (+ 0 0) into 0 53.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 53.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.296 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 53.296 * [backup-simplify]: Simplify (- 0) into 0 53.297 * [backup-simplify]: Simplify (+ 0 0) into 0 53.297 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 53.298 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 53.299 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 53.299 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 53.299 * [backup-simplify]: Simplify (+ 0 0) into 0 53.300 * [backup-simplify]: Simplify (+ 0 0) into 0 53.300 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.300 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 53.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 53.302 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 53.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 53.304 * [backup-simplify]: Simplify (+ 0 0) into 0 53.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 53.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.306 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 53.306 * [backup-simplify]: Simplify (- 0) into 0 53.307 * [backup-simplify]: Simplify (+ 0 0) into 0 53.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 53.308 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 53.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 53.309 * [backup-simplify]: Simplify (+ 0 0) into 0 53.310 * [backup-simplify]: Simplify (- 0) into 0 53.310 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 2) into (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 53.317 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))))) (+ (* 0 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) into (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 53.321 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 2) 2)) (* (/ (pow (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 1) 1)))) into (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 53.321 * [taylor]: Taking taylor expansion of (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 53.321 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 53.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 53.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 53.321 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.322 * [backup-simplify]: Simplify 1/3 into 1/3 53.322 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 53.322 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.322 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.322 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.322 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.322 * [backup-simplify]: Simplify phi2 into phi2 53.322 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.322 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.322 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.322 * [backup-simplify]: Simplify 0 into 0 53.322 * [backup-simplify]: Simplify 1 into 1 53.322 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.322 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.322 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.322 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.322 * [backup-simplify]: Simplify 1/2 into 1/2 53.322 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.322 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.322 * [backup-simplify]: Simplify phi1 into phi1 53.322 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.322 * [backup-simplify]: Simplify phi2 into phi2 53.322 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.322 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.322 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.322 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.322 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.323 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.323 * [backup-simplify]: Simplify (- 0) into 0 53.323 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.323 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.323 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.323 * [backup-simplify]: Simplify phi1 into phi1 53.323 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.323 * [taylor]: Taking taylor expansion of 2 in lambda2 53.323 * [backup-simplify]: Simplify 2 into 2 53.323 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.323 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.323 * [backup-simplify]: Simplify phi1 into phi1 53.324 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.324 * [backup-simplify]: Simplify phi2 into phi2 53.324 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.324 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.324 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.324 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.324 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.324 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.324 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.324 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.325 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 53.325 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.325 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 53.325 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 53.325 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 53.325 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.325 * [backup-simplify]: Simplify 1/3 into 1/3 53.326 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 53.326 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.326 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.326 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.326 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.326 * [backup-simplify]: Simplify 1/2 into 1/2 53.326 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.326 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.326 * [backup-simplify]: Simplify phi1 into phi1 53.326 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.326 * [backup-simplify]: Simplify phi2 into phi2 53.326 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.326 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.326 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.326 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.326 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.326 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.330 * [backup-simplify]: Simplify (- 0) into 0 53.330 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.330 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.331 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.331 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.331 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.331 * [backup-simplify]: Simplify phi2 into phi2 53.331 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.331 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.331 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.331 * [backup-simplify]: Simplify 0 into 0 53.331 * [backup-simplify]: Simplify 1 into 1 53.331 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.331 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.331 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.331 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.331 * [backup-simplify]: Simplify 1/2 into 1/2 53.331 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.331 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.331 * [backup-simplify]: Simplify phi1 into phi1 53.331 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.331 * [backup-simplify]: Simplify phi2 into phi2 53.331 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.331 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.331 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.331 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.332 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.332 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.332 * [backup-simplify]: Simplify (- 0) into 0 53.332 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.332 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.332 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.332 * [backup-simplify]: Simplify phi1 into phi1 53.333 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.333 * [taylor]: Taking taylor expansion of 2 in lambda2 53.333 * [backup-simplify]: Simplify 2 into 2 53.333 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.333 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.333 * [backup-simplify]: Simplify phi1 into phi1 53.333 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.333 * [backup-simplify]: Simplify phi2 into phi2 53.333 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.333 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.333 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.333 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.333 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.333 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.333 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.333 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.334 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.334 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 53.334 * [taylor]: Taking taylor expansion of (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 53.334 * [taylor]: Taking taylor expansion of 4/9 in lambda2 53.334 * [backup-simplify]: Simplify 4/9 into 4/9 53.334 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 53.334 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 53.334 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.334 * [backup-simplify]: Simplify 0 into 0 53.334 * [backup-simplify]: Simplify 1 into 1 53.334 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 53.334 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.334 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.335 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.335 * [backup-simplify]: Simplify 1/2 into 1/2 53.335 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.335 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.335 * [backup-simplify]: Simplify phi1 into phi1 53.335 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.335 * [backup-simplify]: Simplify phi2 into phi2 53.335 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.335 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.335 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.335 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.335 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.335 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.336 * [backup-simplify]: Simplify (- 0) into 0 53.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.336 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 53.336 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.336 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.336 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.336 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.336 * [backup-simplify]: Simplify phi2 into phi2 53.336 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.336 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.336 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.336 * [backup-simplify]: Simplify 0 into 0 53.336 * [backup-simplify]: Simplify 1 into 1 53.336 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.336 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.336 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.336 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.336 * [backup-simplify]: Simplify 1/2 into 1/2 53.336 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.336 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.336 * [backup-simplify]: Simplify phi1 into phi1 53.336 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.336 * [backup-simplify]: Simplify phi2 into phi2 53.336 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.336 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.337 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.337 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.337 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.337 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.337 * [backup-simplify]: Simplify (- 0) into 0 53.337 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.337 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.337 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.337 * [backup-simplify]: Simplify phi1 into phi1 53.337 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.337 * [taylor]: Taking taylor expansion of 2 in lambda2 53.338 * [backup-simplify]: Simplify 2 into 2 53.338 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.338 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.338 * [backup-simplify]: Simplify phi1 into phi1 53.338 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.338 * [backup-simplify]: Simplify phi2 into phi2 53.338 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.338 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.338 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.338 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.338 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.338 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.338 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.338 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.339 * [backup-simplify]: Simplify (* 1 1) into 1 53.339 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.339 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 53.339 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 53.340 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 53.340 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 53.341 * [backup-simplify]: Simplify (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.341 * [backup-simplify]: Simplify (+ (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.342 * [backup-simplify]: Simplify (* (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) 53.342 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) in phi1 53.342 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.342 * [backup-simplify]: Simplify 1/3 into 1/3 53.342 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) in phi1 53.342 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.342 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.342 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.342 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.342 * [backup-simplify]: Simplify 1/2 into 1/2 53.342 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.342 * [taylor]: Taking taylor expansion of phi1 in phi1 53.342 * [backup-simplify]: Simplify 0 into 0 53.342 * [backup-simplify]: Simplify 1 into 1 53.342 * [taylor]: Taking taylor expansion of phi2 in phi1 53.342 * [backup-simplify]: Simplify phi2 into phi2 53.342 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.342 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.342 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.342 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.343 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.343 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.343 * [backup-simplify]: Simplify (- 0) into 0 53.343 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) in phi1 53.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) in phi1 53.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) in phi1 53.343 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.343 * [backup-simplify]: Simplify 1/3 into 1/3 53.343 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) in phi1 53.343 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) in phi1 53.343 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) in phi1 53.344 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 53.344 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 53.344 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.344 * [taylor]: Taking taylor expansion of phi2 in phi1 53.344 * [backup-simplify]: Simplify phi2 into phi2 53.344 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.344 * [taylor]: Taking taylor expansion of phi1 in phi1 53.344 * [backup-simplify]: Simplify 0 into 0 53.344 * [backup-simplify]: Simplify 1 into 1 53.344 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 53.344 * [taylor]: Taking taylor expansion of 2 in phi1 53.344 * [backup-simplify]: Simplify 2 into 2 53.344 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.344 * [taylor]: Taking taylor expansion of phi1 in phi1 53.344 * [backup-simplify]: Simplify 0 into 0 53.344 * [backup-simplify]: Simplify 1 into 1 53.344 * [taylor]: Taking taylor expansion of phi2 in phi1 53.344 * [backup-simplify]: Simplify phi2 into phi2 53.344 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.344 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.344 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.345 * [backup-simplify]: Simplify (* 2 0) into 0 53.345 * [backup-simplify]: Simplify (- 0) into 0 53.345 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.345 * [backup-simplify]: Simplify (* (pow phi2 2) (pow phi2 2)) into (pow phi2 4) 53.345 * [backup-simplify]: Simplify (/ 1 (pow phi2 4)) into (/ 1 (pow phi2 4)) 53.345 * [backup-simplify]: Simplify (log (/ 1 (pow phi2 4))) into (log (/ 1 (pow phi2 4))) 53.346 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow phi2 4)))) into (* 1/3 (log (/ 1 (pow phi2 4)))) 53.346 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow phi2 4))))) into (pow (/ 1 (pow phi2 4)) 1/3) 53.346 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.346 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) 53.346 * [backup-simplify]: Simplify (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) into (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) 53.346 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) in phi2 53.346 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.346 * [backup-simplify]: Simplify 1/3 into 1/3 53.347 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) in phi2 53.347 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 53.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 53.347 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 53.347 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.347 * [backup-simplify]: Simplify 1/2 into 1/2 53.347 * [taylor]: Taking taylor expansion of phi2 in phi2 53.347 * [backup-simplify]: Simplify 0 into 0 53.347 * [backup-simplify]: Simplify 1 into 1 53.347 * [backup-simplify]: Simplify (* 1/2 0) into 0 53.348 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 53.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow phi2 4)) 1/3) in phi2 53.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow phi2 4))))) in phi2 53.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow phi2 4)))) in phi2 53.348 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.348 * [backup-simplify]: Simplify 1/3 into 1/3 53.348 * [taylor]: Taking taylor expansion of (log (/ 1 (pow phi2 4))) in phi2 53.348 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 4)) in phi2 53.348 * [taylor]: Taking taylor expansion of (pow phi2 4) in phi2 53.348 * [taylor]: Taking taylor expansion of phi2 in phi2 53.348 * [backup-simplify]: Simplify 0 into 0 53.349 * [backup-simplify]: Simplify 1 into 1 53.349 * [backup-simplify]: Simplify (* 1 1) into 1 53.350 * [backup-simplify]: Simplify (* 1 1) into 1 53.350 * [backup-simplify]: Simplify (/ 1 1) into 1 53.350 * [backup-simplify]: Simplify (log 1) into 0 53.351 * [backup-simplify]: Simplify (+ (* (- 4) (log phi2)) 0) into (- (* 4 (log phi2))) 53.351 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log phi2)))) into (* -4/3 (log phi2)) 53.351 * [backup-simplify]: Simplify (exp (* -4/3 (log phi2))) into (pow phi2 -4/3) 53.352 * [backup-simplify]: Simplify (* 1 1) into 1 53.352 * [backup-simplify]: Simplify (* 1 (pow phi2 -4/3)) into (pow (/ 1 (pow phi2 4)) 1/3) 53.352 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 53.352 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 53.353 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 phi2) 1/3)) (* 1 (* phi1 (* 1 1)))) (pow phi2 2/3))) into (- (+ (* 1/3 (* (pow lambda1 2) (pow (/ 1 (pow phi2 4)) 1/3))) (pow phi2 2/3)) (* 2/3 (* phi1 (pow (/ 1 phi2) 1/3)))) 53.354 * [backup-simplify]: Simplify (cbrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) 53.354 * [approximate]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 53.354 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi2 53.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi2 53.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi2 53.354 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.354 * [backup-simplify]: Simplify 1/3 into 1/3 53.354 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 53.354 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 53.355 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 53.355 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 53.355 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.355 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.355 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.355 * [backup-simplify]: Simplify 1/2 into 1/2 53.355 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.355 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.355 * [taylor]: Taking taylor expansion of phi1 in phi2 53.355 * [backup-simplify]: Simplify phi1 into phi1 53.355 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.355 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.355 * [taylor]: Taking taylor expansion of phi2 in phi2 53.355 * [backup-simplify]: Simplify 0 into 0 53.355 * [backup-simplify]: Simplify 1 into 1 53.355 * [backup-simplify]: Simplify (/ 1 1) into 1 53.356 * [backup-simplify]: Simplify (+ 0 1) into 1 53.356 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.356 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.356 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 53.356 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.356 * [backup-simplify]: Simplify lambda2 into lambda2 53.357 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.357 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.357 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 53.357 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 53.357 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 53.357 * [taylor]: Taking taylor expansion of phi1 in phi2 53.357 * [backup-simplify]: Simplify phi1 into phi1 53.357 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.357 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.357 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 53.357 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 53.357 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.357 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.357 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.357 * [backup-simplify]: Simplify 1/2 into 1/2 53.357 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.358 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.358 * [taylor]: Taking taylor expansion of phi1 in phi2 53.358 * [backup-simplify]: Simplify phi1 into phi1 53.358 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.358 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.358 * [taylor]: Taking taylor expansion of phi2 in phi2 53.358 * [backup-simplify]: Simplify 0 into 0 53.358 * [backup-simplify]: Simplify 1 into 1 53.358 * [backup-simplify]: Simplify (/ 1 1) into 1 53.359 * [backup-simplify]: Simplify (+ 0 1) into 1 53.359 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.359 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.359 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 53.359 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.359 * [backup-simplify]: Simplify lambda1 into lambda1 53.359 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.359 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.360 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.360 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 53.360 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.360 * [taylor]: Taking taylor expansion of phi2 in phi2 53.360 * [backup-simplify]: Simplify 0 into 0 53.360 * [backup-simplify]: Simplify 1 into 1 53.360 * [backup-simplify]: Simplify (* 1 1) into 1 53.361 * [backup-simplify]: Simplify (/ 1 1) into 1 53.361 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 53.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 53.361 * [taylor]: Taking taylor expansion of 2 in phi2 53.361 * [backup-simplify]: Simplify 2 into 2 53.361 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 53.361 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 53.361 * [taylor]: Taking taylor expansion of phi1 in phi2 53.361 * [backup-simplify]: Simplify phi1 into phi1 53.361 * [taylor]: Taking taylor expansion of phi2 in phi2 53.361 * [backup-simplify]: Simplify 0 into 0 53.361 * [backup-simplify]: Simplify 1 into 1 53.361 * [backup-simplify]: Simplify (* phi1 0) into 0 53.361 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 53.361 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.361 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 53.361 * [taylor]: Taking taylor expansion of 2 in phi2 53.361 * [backup-simplify]: Simplify 2 into 2 53.361 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 53.362 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.362 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.362 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.362 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.362 * [backup-simplify]: Simplify 1/2 into 1/2 53.362 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.362 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.362 * [taylor]: Taking taylor expansion of phi1 in phi2 53.362 * [backup-simplify]: Simplify phi1 into phi1 53.362 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.362 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.362 * [taylor]: Taking taylor expansion of phi2 in phi2 53.362 * [backup-simplify]: Simplify 0 into 0 53.362 * [backup-simplify]: Simplify 1 into 1 53.362 * [backup-simplify]: Simplify (/ 1 1) into 1 53.363 * [backup-simplify]: Simplify (+ 0 1) into 1 53.363 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.363 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.363 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 53.363 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.363 * [backup-simplify]: Simplify lambda2 into lambda2 53.363 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.363 * [backup-simplify]: Simplify lambda1 into lambda1 53.364 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.364 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.364 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 53.364 * [backup-simplify]: Simplify (+ 0 1) into 1 53.365 * [backup-simplify]: Simplify (+ 0 1) into 1 53.365 * [backup-simplify]: Simplify (+ 0 1) into 1 53.366 * [backup-simplify]: Simplify (+ 1 0) into 1 53.366 * [backup-simplify]: Simplify (log 1) into 0 53.367 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 53.367 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 53.367 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 53.367 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi1 53.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi1 53.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi1 53.367 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.367 * [backup-simplify]: Simplify 1/3 into 1/3 53.367 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 53.367 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 53.367 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 53.367 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 53.367 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.367 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.367 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.367 * [backup-simplify]: Simplify 1/2 into 1/2 53.367 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.367 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.367 * [taylor]: Taking taylor expansion of phi1 in phi1 53.367 * [backup-simplify]: Simplify 0 into 0 53.367 * [backup-simplify]: Simplify 1 into 1 53.368 * [backup-simplify]: Simplify (/ 1 1) into 1 53.368 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.368 * [taylor]: Taking taylor expansion of phi2 in phi1 53.368 * [backup-simplify]: Simplify phi2 into phi2 53.368 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.368 * [backup-simplify]: Simplify (+ 1 0) into 1 53.369 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.369 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.369 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 53.369 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.369 * [backup-simplify]: Simplify lambda2 into lambda2 53.369 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.370 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.370 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 53.370 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 53.370 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.370 * [taylor]: Taking taylor expansion of phi1 in phi1 53.370 * [backup-simplify]: Simplify 0 into 0 53.370 * [backup-simplify]: Simplify 1 into 1 53.370 * [backup-simplify]: Simplify (* 1 1) into 1 53.371 * [backup-simplify]: Simplify (/ 1 1) into 1 53.371 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 53.371 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 53.371 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.371 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.371 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.371 * [backup-simplify]: Simplify 1/2 into 1/2 53.371 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.371 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.371 * [taylor]: Taking taylor expansion of phi1 in phi1 53.371 * [backup-simplify]: Simplify 0 into 0 53.371 * [backup-simplify]: Simplify 1 into 1 53.371 * [backup-simplify]: Simplify (/ 1 1) into 1 53.371 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.371 * [taylor]: Taking taylor expansion of phi2 in phi1 53.372 * [backup-simplify]: Simplify phi2 into phi2 53.372 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.372 * [backup-simplify]: Simplify (+ 1 0) into 1 53.372 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.373 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.373 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 53.373 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.373 * [backup-simplify]: Simplify lambda1 into lambda1 53.373 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.373 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.373 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.373 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 53.373 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.373 * [taylor]: Taking taylor expansion of phi2 in phi1 53.373 * [backup-simplify]: Simplify phi2 into phi2 53.373 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.373 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.373 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 53.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 53.374 * [taylor]: Taking taylor expansion of 2 in phi1 53.374 * [backup-simplify]: Simplify 2 into 2 53.374 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 53.374 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.374 * [taylor]: Taking taylor expansion of phi1 in phi1 53.374 * [backup-simplify]: Simplify 0 into 0 53.374 * [backup-simplify]: Simplify 1 into 1 53.374 * [taylor]: Taking taylor expansion of phi2 in phi1 53.374 * [backup-simplify]: Simplify phi2 into phi2 53.374 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.374 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.374 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 53.374 * [taylor]: Taking taylor expansion of 2 in phi1 53.374 * [backup-simplify]: Simplify 2 into 2 53.374 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 53.374 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.374 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.374 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.375 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.375 * [backup-simplify]: Simplify 1/2 into 1/2 53.375 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.375 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.375 * [taylor]: Taking taylor expansion of phi1 in phi1 53.375 * [backup-simplify]: Simplify 0 into 0 53.375 * [backup-simplify]: Simplify 1 into 1 53.375 * [backup-simplify]: Simplify (/ 1 1) into 1 53.375 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.375 * [taylor]: Taking taylor expansion of phi2 in phi1 53.375 * [backup-simplify]: Simplify phi2 into phi2 53.375 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.376 * [backup-simplify]: Simplify (+ 1 0) into 1 53.376 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.376 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.376 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 53.376 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.376 * [backup-simplify]: Simplify lambda2 into lambda2 53.376 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.376 * [backup-simplify]: Simplify lambda1 into lambda1 53.376 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.377 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.377 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 53.377 * [backup-simplify]: Simplify (+ 1 0) into 1 53.378 * [backup-simplify]: Simplify (+ 0 1) into 1 53.378 * [backup-simplify]: Simplify (+ 1 0) into 1 53.378 * [backup-simplify]: Simplify (log 1) into 0 53.379 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 53.379 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 53.379 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 53.379 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 53.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda2 53.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda2 53.379 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.379 * [backup-simplify]: Simplify 1/3 into 1/3 53.379 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 53.379 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 53.379 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 53.379 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 53.379 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.379 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.379 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.379 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.380 * [backup-simplify]: Simplify 1/2 into 1/2 53.380 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.380 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.380 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.380 * [backup-simplify]: Simplify phi1 into phi1 53.380 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.380 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.380 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.380 * [backup-simplify]: Simplify phi2 into phi2 53.380 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.380 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.380 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.380 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.380 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.380 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.381 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.381 * [backup-simplify]: Simplify (- 0) into 0 53.381 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.381 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.381 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.381 * [backup-simplify]: Simplify 0 into 0 53.381 * [backup-simplify]: Simplify 1 into 1 53.382 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.382 * [backup-simplify]: Simplify (* 1 1) into 1 53.382 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 53.382 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 53.382 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.382 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.382 * [backup-simplify]: Simplify phi1 into phi1 53.382 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.382 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.382 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 53.382 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 53.383 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.383 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.383 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.383 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.383 * [backup-simplify]: Simplify 1/2 into 1/2 53.383 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.383 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.383 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.383 * [backup-simplify]: Simplify phi1 into phi1 53.383 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.383 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.383 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.383 * [backup-simplify]: Simplify phi2 into phi2 53.383 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.383 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.383 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.384 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.384 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.384 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.384 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.384 * [backup-simplify]: Simplify (- 0) into 0 53.385 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.385 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 53.385 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.385 * [backup-simplify]: Simplify lambda1 into lambda1 53.385 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.385 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.385 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.385 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 53.385 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.385 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.385 * [backup-simplify]: Simplify phi2 into phi2 53.385 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.385 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.385 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 53.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 53.386 * [taylor]: Taking taylor expansion of 2 in lambda2 53.386 * [backup-simplify]: Simplify 2 into 2 53.386 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 53.386 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.386 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.386 * [backup-simplify]: Simplify phi1 into phi1 53.386 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.386 * [backup-simplify]: Simplify phi2 into phi2 53.386 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.386 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.386 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 53.386 * [taylor]: Taking taylor expansion of 2 in lambda2 53.386 * [backup-simplify]: Simplify 2 into 2 53.386 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 53.386 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.386 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.386 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.386 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.386 * [backup-simplify]: Simplify 1/2 into 1/2 53.386 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.386 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.386 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.386 * [backup-simplify]: Simplify phi1 into phi1 53.386 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.386 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.386 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.386 * [backup-simplify]: Simplify phi2 into phi2 53.386 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.386 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.386 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.387 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.387 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.387 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.387 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.387 * [backup-simplify]: Simplify (- 0) into 0 53.388 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.388 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 53.388 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.388 * [backup-simplify]: Simplify 0 into 0 53.388 * [backup-simplify]: Simplify 1 into 1 53.388 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.388 * [backup-simplify]: Simplify lambda1 into lambda1 53.388 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.388 * [backup-simplify]: Simplify (* 0 lambda1) into 0 53.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 53.389 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 53.389 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.389 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.389 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.390 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 53.390 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 53.390 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 53.390 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 53.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 53.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 53.390 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.390 * [backup-simplify]: Simplify 1/3 into 1/3 53.390 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 53.390 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 53.391 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 53.391 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 53.391 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.391 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.391 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.391 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.391 * [backup-simplify]: Simplify 1/2 into 1/2 53.391 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.391 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.391 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.391 * [backup-simplify]: Simplify phi1 into phi1 53.391 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.391 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.391 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.391 * [backup-simplify]: Simplify phi2 into phi2 53.391 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.391 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.391 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.391 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.391 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.392 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.392 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.392 * [backup-simplify]: Simplify (- 0) into 0 53.392 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.392 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.392 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.392 * [backup-simplify]: Simplify lambda2 into lambda2 53.393 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.393 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.393 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 53.393 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 53.393 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.393 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.393 * [backup-simplify]: Simplify phi1 into phi1 53.393 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.393 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.393 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 53.393 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 53.393 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.393 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.393 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.393 * [backup-simplify]: Simplify 1/2 into 1/2 53.393 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.393 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.393 * [backup-simplify]: Simplify phi1 into phi1 53.393 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.393 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.393 * [backup-simplify]: Simplify phi2 into phi2 53.393 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.394 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.394 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.394 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.394 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.394 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.394 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.395 * [backup-simplify]: Simplify (- 0) into 0 53.395 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.395 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.395 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.395 * [backup-simplify]: Simplify 0 into 0 53.395 * [backup-simplify]: Simplify 1 into 1 53.395 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.395 * [backup-simplify]: Simplify (* 1 1) into 1 53.396 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.396 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 53.396 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.396 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.396 * [backup-simplify]: Simplify phi2 into phi2 53.396 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.396 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.396 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 53.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 53.396 * [taylor]: Taking taylor expansion of 2 in lambda1 53.396 * [backup-simplify]: Simplify 2 into 2 53.396 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 53.396 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.396 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.396 * [backup-simplify]: Simplify phi1 into phi1 53.396 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.396 * [backup-simplify]: Simplify phi2 into phi2 53.396 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.396 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.396 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 53.396 * [taylor]: Taking taylor expansion of 2 in lambda1 53.396 * [backup-simplify]: Simplify 2 into 2 53.396 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 53.396 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.396 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.396 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.396 * [backup-simplify]: Simplify 1/2 into 1/2 53.396 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.397 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.397 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.397 * [backup-simplify]: Simplify phi1 into phi1 53.397 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.397 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.397 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.397 * [backup-simplify]: Simplify phi2 into phi2 53.397 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.397 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.397 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.397 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.397 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.397 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.397 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.398 * [backup-simplify]: Simplify (- 0) into 0 53.398 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.398 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 53.398 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.398 * [backup-simplify]: Simplify lambda2 into lambda2 53.398 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.398 * [backup-simplify]: Simplify 0 into 0 53.398 * [backup-simplify]: Simplify 1 into 1 53.398 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.398 * [backup-simplify]: Simplify (* lambda2 0) into 0 53.399 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 53.399 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 53.399 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.399 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.400 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.400 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.400 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.400 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.401 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.401 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.401 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 53.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 53.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 53.401 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.401 * [backup-simplify]: Simplify 1/3 into 1/3 53.401 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 53.401 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 53.401 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 53.401 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 53.401 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.401 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.401 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.401 * [backup-simplify]: Simplify 1/2 into 1/2 53.401 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.401 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.401 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.402 * [backup-simplify]: Simplify phi1 into phi1 53.402 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.402 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.402 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.402 * [backup-simplify]: Simplify phi2 into phi2 53.402 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.402 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.402 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.402 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.402 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.402 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.402 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.403 * [backup-simplify]: Simplify (- 0) into 0 53.403 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.403 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.403 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.403 * [backup-simplify]: Simplify lambda2 into lambda2 53.403 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.403 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.403 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 53.404 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 53.404 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.404 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.404 * [backup-simplify]: Simplify phi1 into phi1 53.404 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.404 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.404 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 53.404 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 53.404 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.404 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.404 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.404 * [backup-simplify]: Simplify 1/2 into 1/2 53.404 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.404 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.404 * [backup-simplify]: Simplify phi1 into phi1 53.404 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.404 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.404 * [backup-simplify]: Simplify phi2 into phi2 53.404 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.404 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.404 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.404 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.405 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.405 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.405 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.405 * [backup-simplify]: Simplify (- 0) into 0 53.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.405 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.405 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.405 * [backup-simplify]: Simplify 0 into 0 53.405 * [backup-simplify]: Simplify 1 into 1 53.406 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.406 * [backup-simplify]: Simplify (* 1 1) into 1 53.406 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.406 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 53.406 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.406 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.406 * [backup-simplify]: Simplify phi2 into phi2 53.406 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.406 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.407 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 53.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 53.407 * [taylor]: Taking taylor expansion of 2 in lambda1 53.407 * [backup-simplify]: Simplify 2 into 2 53.407 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 53.407 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.407 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.407 * [backup-simplify]: Simplify phi1 into phi1 53.407 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.407 * [backup-simplify]: Simplify phi2 into phi2 53.407 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.407 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.407 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 53.407 * [taylor]: Taking taylor expansion of 2 in lambda1 53.407 * [backup-simplify]: Simplify 2 into 2 53.407 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 53.407 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.407 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.407 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.407 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.407 * [backup-simplify]: Simplify 1/2 into 1/2 53.407 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.407 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.407 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.407 * [backup-simplify]: Simplify phi1 into phi1 53.407 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.407 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.407 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.407 * [backup-simplify]: Simplify phi2 into phi2 53.407 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.407 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.407 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.408 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.408 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.408 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.408 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.408 * [backup-simplify]: Simplify (- 0) into 0 53.409 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.409 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 53.409 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.409 * [backup-simplify]: Simplify lambda2 into lambda2 53.409 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.409 * [backup-simplify]: Simplify 0 into 0 53.409 * [backup-simplify]: Simplify 1 into 1 53.409 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.409 * [backup-simplify]: Simplify (* lambda2 0) into 0 53.410 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 53.410 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 53.410 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.410 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.411 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.411 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.411 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.412 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.412 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.412 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.412 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.412 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.412 * [backup-simplify]: Simplify 1/3 into 1/3 53.412 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.412 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.412 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.413 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.413 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.413 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.413 * [backup-simplify]: Simplify 1/2 into 1/2 53.413 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.413 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.413 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.413 * [backup-simplify]: Simplify phi1 into phi1 53.413 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.413 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.413 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.413 * [backup-simplify]: Simplify phi2 into phi2 53.413 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.413 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.413 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.413 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.413 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.413 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.414 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.414 * [backup-simplify]: Simplify (- 0) into 0 53.414 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.414 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.415 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.415 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.415 * [taylor]: Taking taylor expansion of 2 in lambda2 53.415 * [backup-simplify]: Simplify 2 into 2 53.415 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.415 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.415 * [backup-simplify]: Simplify lambda1 into lambda1 53.415 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.415 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.415 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.415 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.415 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.416 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.416 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.416 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.416 * [backup-simplify]: Simplify 1/3 into 1/3 53.416 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.416 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.416 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.416 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.416 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.416 * [backup-simplify]: Simplify 1/2 into 1/2 53.416 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.416 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.416 * [taylor]: Taking taylor expansion of phi1 in phi1 53.416 * [backup-simplify]: Simplify 0 into 0 53.416 * [backup-simplify]: Simplify 1 into 1 53.417 * [backup-simplify]: Simplify (/ 1 1) into 1 53.417 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.417 * [taylor]: Taking taylor expansion of phi2 in phi1 53.417 * [backup-simplify]: Simplify phi2 into phi2 53.417 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.417 * [backup-simplify]: Simplify (+ 1 0) into 1 53.418 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.418 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.418 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.418 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.418 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.418 * [taylor]: Taking taylor expansion of 2 in phi1 53.418 * [backup-simplify]: Simplify 2 into 2 53.418 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.418 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.418 * [backup-simplify]: Simplify lambda1 into lambda1 53.418 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.418 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.419 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.419 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.419 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.419 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 53.419 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 53.420 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.420 * [backup-simplify]: Simplify 1/3 into 1/3 53.420 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 53.420 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 53.420 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.420 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.420 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.420 * [backup-simplify]: Simplify 1/2 into 1/2 53.420 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.420 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.420 * [taylor]: Taking taylor expansion of phi1 in phi2 53.420 * [backup-simplify]: Simplify phi1 into phi1 53.420 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.420 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.420 * [taylor]: Taking taylor expansion of phi2 in phi2 53.420 * [backup-simplify]: Simplify 0 into 0 53.420 * [backup-simplify]: Simplify 1 into 1 53.421 * [backup-simplify]: Simplify (/ 1 1) into 1 53.421 * [backup-simplify]: Simplify (+ 0 1) into 1 53.422 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.422 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.422 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.423 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.423 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 53.423 * [taylor]: Taking taylor expansion of 2 in phi2 53.423 * [backup-simplify]: Simplify 2 into 2 53.423 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 53.423 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.423 * [backup-simplify]: Simplify lambda1 into lambda1 53.423 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.423 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.423 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.423 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.424 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.424 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.424 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.425 * [backup-simplify]: Simplify (+ 0) into 0 53.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.426 * [backup-simplify]: Simplify (+ 0 0) into 0 53.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.428 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.428 * [backup-simplify]: Simplify (- 0) into 0 53.429 * [backup-simplify]: Simplify (+ 0 0) into 0 53.429 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 53.431 * [backup-simplify]: Simplify (+ 0 0) into 0 53.432 * [backup-simplify]: Simplify (+ 0 0) into 0 53.432 * [backup-simplify]: Simplify (+ 0 0) into 0 53.433 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 53.433 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 53.434 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 53.434 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 53.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 53.436 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.436 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 53.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 53.436 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 53.436 * [taylor]: Taking taylor expansion of -2/3 in lambda2 53.437 * [backup-simplify]: Simplify -2/3 into -2/3 53.437 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 53.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.437 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.437 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.437 * [backup-simplify]: Simplify 1/3 into 1/3 53.437 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.437 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.437 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.437 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.437 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.437 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.437 * [backup-simplify]: Simplify 1/2 into 1/2 53.437 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.437 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.437 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.437 * [backup-simplify]: Simplify phi1 into phi1 53.437 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.437 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.437 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.437 * [backup-simplify]: Simplify phi2 into phi2 53.437 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.437 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.437 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.437 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.438 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.438 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.438 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.438 * [backup-simplify]: Simplify (- 0) into 0 53.438 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.439 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.439 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.439 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.439 * [taylor]: Taking taylor expansion of 2 in lambda2 53.439 * [backup-simplify]: Simplify 2 into 2 53.439 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.439 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.439 * [backup-simplify]: Simplify lambda1 into lambda1 53.439 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.439 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.439 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.439 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.440 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.440 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.440 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.440 * [backup-simplify]: Simplify 0 into 0 53.440 * [backup-simplify]: Simplify 1 into 1 53.440 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.441 * [backup-simplify]: Simplify (+ 0) into 0 53.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.442 * [backup-simplify]: Simplify (+ 0 0) into 0 53.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.444 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.444 * [backup-simplify]: Simplify (- 0) into 0 53.445 * [backup-simplify]: Simplify (+ 0 0) into 0 53.445 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.447 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.447 * [backup-simplify]: Simplify (- 0) into 0 53.448 * [backup-simplify]: Simplify (+ 0 0) into 0 53.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.449 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 53.451 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 53.451 * [taylor]: Taking taylor expansion of 0 in phi1 53.451 * [backup-simplify]: Simplify 0 into 0 53.451 * [taylor]: Taking taylor expansion of 0 in phi2 53.451 * [backup-simplify]: Simplify 0 into 0 53.451 * [backup-simplify]: Simplify 0 into 0 53.452 * [backup-simplify]: Simplify (+ 0) into 0 53.452 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.453 * [backup-simplify]: Simplify (+ 0 0) into 0 53.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.455 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.455 * [backup-simplify]: Simplify (- 0) into 0 53.456 * [backup-simplify]: Simplify (+ 0 0) into 0 53.456 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.458 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.458 * [backup-simplify]: Simplify (- 0) into 0 53.459 * [backup-simplify]: Simplify (+ 0 0) into 0 53.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.461 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.461 * [taylor]: Taking taylor expansion of 0 in phi1 53.461 * [backup-simplify]: Simplify 0 into 0 53.461 * [taylor]: Taking taylor expansion of 0 in phi2 53.461 * [backup-simplify]: Simplify 0 into 0 53.461 * [backup-simplify]: Simplify 0 into 0 53.461 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.464 * [backup-simplify]: Simplify (- 0) into 0 53.464 * [backup-simplify]: Simplify (+ 0 0) into 0 53.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.466 * [taylor]: Taking taylor expansion of 0 in phi2 53.466 * [backup-simplify]: Simplify 0 into 0 53.466 * [backup-simplify]: Simplify 0 into 0 53.466 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.468 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.468 * [backup-simplify]: Simplify (- 0) into 0 53.469 * [backup-simplify]: Simplify (+ 0 0) into 0 53.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.471 * [backup-simplify]: Simplify 0 into 0 53.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.473 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.473 * [backup-simplify]: Simplify (+ 0 0) into 0 53.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.475 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.476 * [backup-simplify]: Simplify (- 0) into 0 53.476 * [backup-simplify]: Simplify (+ 0 0) into 0 53.477 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.482 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 53.482 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 53.483 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 53.483 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 53.483 * [backup-simplify]: Simplify (+ 0) into 0 53.484 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.484 * [backup-simplify]: Simplify (+ 0 0) into 0 53.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.486 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.487 * [backup-simplify]: Simplify (- 0) into 0 53.487 * [backup-simplify]: Simplify (+ 0 0) into 0 53.487 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.488 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 53.488 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 53.489 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 53.489 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 53.489 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 53.490 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 53.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 53.492 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.493 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 53.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) 53.495 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) in lambda2 53.495 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 53.495 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 53.495 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 53.495 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.495 * [backup-simplify]: Simplify 1/3 into 1/3 53.495 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 53.495 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 53.495 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.495 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.495 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.495 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.495 * [backup-simplify]: Simplify 1/2 into 1/2 53.495 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.495 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.495 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.495 * [backup-simplify]: Simplify phi1 into phi1 53.495 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.495 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.495 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.495 * [backup-simplify]: Simplify phi2 into phi2 53.495 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.495 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.495 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.495 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.495 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.495 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.496 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.496 * [backup-simplify]: Simplify (- 0) into 0 53.496 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.496 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.496 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.496 * [backup-simplify]: Simplify phi2 into phi2 53.496 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.496 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.496 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 53.497 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.497 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 53.497 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.497 * [backup-simplify]: Simplify 1/3 into 1/3 53.497 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 53.497 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 53.497 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.497 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.497 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.497 * [backup-simplify]: Simplify 1/2 into 1/2 53.497 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.497 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.497 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.497 * [backup-simplify]: Simplify phi1 into phi1 53.497 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.497 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.497 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.497 * [backup-simplify]: Simplify phi2 into phi2 53.497 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.497 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.497 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.497 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.497 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.497 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.497 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.498 * [backup-simplify]: Simplify (- 0) into 0 53.498 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.498 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.498 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.498 * [backup-simplify]: Simplify phi1 into phi1 53.498 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.498 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.498 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 53.498 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 53.498 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 53.498 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 53.498 * [taylor]: Taking taylor expansion of 2/3 in lambda2 53.498 * [backup-simplify]: Simplify 2/3 into 2/3 53.498 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 53.498 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 53.498 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.498 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.498 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.498 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.498 * [backup-simplify]: Simplify 1/2 into 1/2 53.498 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.498 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.498 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.498 * [backup-simplify]: Simplify phi1 into phi1 53.498 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.498 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.499 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.499 * [backup-simplify]: Simplify phi2 into phi2 53.499 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.499 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.499 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.499 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.499 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.499 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.499 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.499 * [backup-simplify]: Simplify (- 0) into 0 53.499 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.499 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.499 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.499 * [backup-simplify]: Simplify phi1 into phi1 53.499 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.499 * [backup-simplify]: Simplify phi2 into phi2 53.500 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.500 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.500 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 53.500 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 53.500 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 53.500 * [taylor]: Taking taylor expansion of 1/9 in lambda2 53.500 * [backup-simplify]: Simplify 1/9 into 1/9 53.500 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 53.500 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.500 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.500 * [backup-simplify]: Simplify 0 into 0 53.500 * [backup-simplify]: Simplify 1 into 1 53.500 * [backup-simplify]: Simplify (* 1 1) into 1 53.501 * [backup-simplify]: Simplify (/ 1 1) into 1 53.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.501 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.501 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.501 * [backup-simplify]: Simplify 1/3 into 1/3 53.501 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.501 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.501 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.501 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.501 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.501 * [backup-simplify]: Simplify 1/2 into 1/2 53.501 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.501 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.501 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.501 * [backup-simplify]: Simplify phi1 into phi1 53.501 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.501 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.501 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.501 * [backup-simplify]: Simplify phi2 into phi2 53.501 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.501 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.501 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.501 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.501 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.501 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.502 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.502 * [backup-simplify]: Simplify (- 0) into 0 53.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.502 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.502 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.502 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.502 * [taylor]: Taking taylor expansion of 2 in lambda2 53.502 * [backup-simplify]: Simplify 2 into 2 53.502 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.502 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.502 * [backup-simplify]: Simplify lambda1 into lambda1 53.502 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.502 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.503 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.503 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.503 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.503 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.503 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 53.504 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 53.504 * [backup-simplify]: Simplify (- 1/9) into -1/9 53.504 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 53.504 * [backup-simplify]: Simplify (+ 0) into 0 53.505 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.505 * [backup-simplify]: Simplify (+ 0 0) into 0 53.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.506 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.506 * [backup-simplify]: Simplify (- 0) into 0 53.507 * [backup-simplify]: Simplify (+ 0 0) into 0 53.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.508 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.508 * [backup-simplify]: Simplify (- 0) into 0 53.509 * [backup-simplify]: Simplify (+ 0 0) into 0 53.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.511 * [backup-simplify]: Simplify (+ 0 0) into 0 53.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.512 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.512 * [backup-simplify]: Simplify (- 0) into 0 53.513 * [backup-simplify]: Simplify (+ 0 0) into 0 53.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.515 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.516 * [backup-simplify]: Simplify (- 0) into 0 53.516 * [backup-simplify]: Simplify (+ 0 0) into 0 53.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.517 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.519 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 53.519 * [backup-simplify]: Simplify (+ 0 0) into 0 53.519 * [backup-simplify]: Simplify (- 0) into 0 53.519 * [backup-simplify]: Simplify (+ 0 0) into 0 53.520 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.520 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.520 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 53.521 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 53.521 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 53.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.522 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 53.523 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 53.523 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.523 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.525 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.526 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 53.526 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) in phi1 53.526 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 53.526 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.526 * [backup-simplify]: Simplify 1/3 into 1/3 53.526 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 53.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.526 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.526 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.526 * [backup-simplify]: Simplify 1/3 into 1/3 53.526 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.526 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.526 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.526 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.526 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.526 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.526 * [backup-simplify]: Simplify 1/2 into 1/2 53.526 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.526 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.526 * [taylor]: Taking taylor expansion of phi1 in phi1 53.526 * [backup-simplify]: Simplify 0 into 0 53.526 * [backup-simplify]: Simplify 1 into 1 53.527 * [backup-simplify]: Simplify (/ 1 1) into 1 53.527 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.527 * [taylor]: Taking taylor expansion of phi2 in phi1 53.527 * [backup-simplify]: Simplify phi2 into phi2 53.527 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.527 * [backup-simplify]: Simplify (+ 1 0) into 1 53.528 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.528 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.528 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.528 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.528 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.528 * [taylor]: Taking taylor expansion of 2 in phi1 53.528 * [backup-simplify]: Simplify 2 into 2 53.528 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.528 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.528 * [backup-simplify]: Simplify lambda1 into lambda1 53.528 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.529 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.529 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.529 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.529 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.529 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.529 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 53.529 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.529 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.530 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.530 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.530 * [backup-simplify]: Simplify 1/2 into 1/2 53.530 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.530 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.530 * [taylor]: Taking taylor expansion of phi1 in phi1 53.530 * [backup-simplify]: Simplify 0 into 0 53.530 * [backup-simplify]: Simplify 1 into 1 53.530 * [backup-simplify]: Simplify (/ 1 1) into 1 53.530 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.530 * [taylor]: Taking taylor expansion of phi2 in phi1 53.530 * [backup-simplify]: Simplify phi2 into phi2 53.530 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.531 * [backup-simplify]: Simplify (+ 1 0) into 1 53.531 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.531 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.531 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.531 * [taylor]: Taking taylor expansion of phi1 in phi1 53.531 * [backup-simplify]: Simplify 0 into 0 53.531 * [backup-simplify]: Simplify 1 into 1 53.532 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.532 * [backup-simplify]: Simplify (* 1 1) into 1 53.532 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.533 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.533 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 53.533 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.533 * [backup-simplify]: Simplify 1/3 into 1/3 53.533 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 53.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.533 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.533 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.533 * [backup-simplify]: Simplify 1/3 into 1/3 53.533 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.533 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.533 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.533 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.533 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.533 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.533 * [backup-simplify]: Simplify 1/2 into 1/2 53.533 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.533 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.533 * [taylor]: Taking taylor expansion of phi1 in phi1 53.533 * [backup-simplify]: Simplify 0 into 0 53.533 * [backup-simplify]: Simplify 1 into 1 53.534 * [backup-simplify]: Simplify (/ 1 1) into 1 53.534 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.534 * [taylor]: Taking taylor expansion of phi2 in phi1 53.534 * [backup-simplify]: Simplify phi2 into phi2 53.534 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.534 * [backup-simplify]: Simplify (+ 1 0) into 1 53.535 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.535 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.535 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.535 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.535 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.535 * [taylor]: Taking taylor expansion of 2 in phi1 53.535 * [backup-simplify]: Simplify 2 into 2 53.535 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.535 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.535 * [backup-simplify]: Simplify lambda1 into lambda1 53.535 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.535 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.535 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.536 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.536 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.536 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.536 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 53.536 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.536 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.536 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.536 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.536 * [backup-simplify]: Simplify 1/2 into 1/2 53.537 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.537 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.537 * [taylor]: Taking taylor expansion of phi1 in phi1 53.537 * [backup-simplify]: Simplify 0 into 0 53.537 * [backup-simplify]: Simplify 1 into 1 53.537 * [backup-simplify]: Simplify (/ 1 1) into 1 53.537 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.537 * [taylor]: Taking taylor expansion of phi2 in phi1 53.537 * [backup-simplify]: Simplify phi2 into phi2 53.537 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.538 * [backup-simplify]: Simplify (+ 1 0) into 1 53.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.538 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.538 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.538 * [taylor]: Taking taylor expansion of phi2 in phi1 53.538 * [backup-simplify]: Simplify phi2 into phi2 53.538 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.539 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.539 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 53.539 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.539 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 53.539 * [taylor]: Taking taylor expansion of 2/3 in phi1 53.539 * [backup-simplify]: Simplify 2/3 into 2/3 53.539 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 53.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.540 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.540 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.540 * [backup-simplify]: Simplify 1/3 into 1/3 53.540 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.540 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.540 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.540 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.540 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.540 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.540 * [backup-simplify]: Simplify 1/2 into 1/2 53.540 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.540 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.540 * [taylor]: Taking taylor expansion of phi1 in phi1 53.540 * [backup-simplify]: Simplify 0 into 0 53.540 * [backup-simplify]: Simplify 1 into 1 53.540 * [backup-simplify]: Simplify (/ 1 1) into 1 53.540 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.540 * [taylor]: Taking taylor expansion of phi2 in phi1 53.540 * [backup-simplify]: Simplify phi2 into phi2 53.540 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.541 * [backup-simplify]: Simplify (+ 1 0) into 1 53.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.541 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.542 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.542 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.542 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.542 * [taylor]: Taking taylor expansion of 2 in phi1 53.542 * [backup-simplify]: Simplify 2 into 2 53.542 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.542 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.542 * [backup-simplify]: Simplify lambda1 into lambda1 53.542 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.542 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.542 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.542 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.543 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.543 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 53.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.543 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.543 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.543 * [backup-simplify]: Simplify 1/2 into 1/2 53.543 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.543 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.543 * [taylor]: Taking taylor expansion of phi1 in phi1 53.543 * [backup-simplify]: Simplify 0 into 0 53.543 * [backup-simplify]: Simplify 1 into 1 53.544 * [backup-simplify]: Simplify (/ 1 1) into 1 53.544 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.544 * [taylor]: Taking taylor expansion of phi2 in phi1 53.544 * [backup-simplify]: Simplify phi2 into phi2 53.544 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.544 * [backup-simplify]: Simplify (+ 1 0) into 1 53.545 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.545 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.545 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.545 * [taylor]: Taking taylor expansion of phi1 in phi1 53.545 * [backup-simplify]: Simplify 0 into 0 53.545 * [backup-simplify]: Simplify 1 into 1 53.545 * [taylor]: Taking taylor expansion of phi2 in phi1 53.545 * [backup-simplify]: Simplify phi2 into phi2 53.545 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.545 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.546 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 53.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.547 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 53.547 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 53.548 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.550 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.550 * [backup-simplify]: Simplify (- 0) into 0 53.551 * [backup-simplify]: Simplify (+ 0 0) into 0 53.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.552 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.557 * [backup-simplify]: Simplify (- 0) into 0 53.557 * [backup-simplify]: Simplify (+ 0 0) into 0 53.558 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.562 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.563 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 53.564 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.565 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 53.566 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.567 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.568 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.568 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.569 * [backup-simplify]: Simplify (+ 0 (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.570 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.571 * [backup-simplify]: Simplify (- 0) into 0 53.571 * [backup-simplify]: Simplify (+ 0 0) into 0 53.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 53.573 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.573 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 53.574 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 53.574 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 53.574 * [backup-simplify]: Simplify (- 0) into 0 53.575 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.575 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 53.575 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.575 * [backup-simplify]: Simplify 1/3 into 1/3 53.575 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 53.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 53.575 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 53.575 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.575 * [backup-simplify]: Simplify 1/3 into 1/3 53.575 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 53.575 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 53.575 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.575 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.575 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.575 * [backup-simplify]: Simplify 1/2 into 1/2 53.575 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.575 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.575 * [taylor]: Taking taylor expansion of phi1 in phi2 53.575 * [backup-simplify]: Simplify phi1 into phi1 53.575 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.575 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.575 * [taylor]: Taking taylor expansion of phi2 in phi2 53.575 * [backup-simplify]: Simplify 0 into 0 53.575 * [backup-simplify]: Simplify 1 into 1 53.576 * [backup-simplify]: Simplify (/ 1 1) into 1 53.576 * [backup-simplify]: Simplify (+ 0 1) into 1 53.576 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.576 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.576 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.576 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.576 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 53.576 * [taylor]: Taking taylor expansion of 2 in phi2 53.576 * [backup-simplify]: Simplify 2 into 2 53.576 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 53.577 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.577 * [backup-simplify]: Simplify lambda1 into lambda1 53.577 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.577 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.577 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.577 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.577 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.577 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.577 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 53.577 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.577 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.577 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.577 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.577 * [backup-simplify]: Simplify 1/2 into 1/2 53.577 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.577 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.577 * [taylor]: Taking taylor expansion of phi1 in phi2 53.577 * [backup-simplify]: Simplify phi1 into phi1 53.577 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.577 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.577 * [taylor]: Taking taylor expansion of phi2 in phi2 53.577 * [backup-simplify]: Simplify 0 into 0 53.577 * [backup-simplify]: Simplify 1 into 1 53.578 * [backup-simplify]: Simplify (/ 1 1) into 1 53.578 * [backup-simplify]: Simplify (+ 0 1) into 1 53.578 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.578 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.578 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.578 * [taylor]: Taking taylor expansion of phi2 in phi2 53.578 * [backup-simplify]: Simplify 0 into 0 53.578 * [backup-simplify]: Simplify 1 into 1 53.578 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.579 * [backup-simplify]: Simplify (* 1 1) into 1 53.579 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.579 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.579 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.581 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.581 * [backup-simplify]: Simplify (- 0) into 0 53.581 * [backup-simplify]: Simplify (+ 0 0) into 0 53.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.582 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.586 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.587 * [backup-simplify]: Simplify (- 0) into 0 53.587 * [backup-simplify]: Simplify (+ 0 0) into 0 53.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.588 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.589 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.590 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.590 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 53.591 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.591 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 53.592 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.592 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.593 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.593 * [backup-simplify]: Simplify 0 into 0 53.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.594 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.595 * [backup-simplify]: Simplify (+ 0 0) into 0 53.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.596 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.596 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.596 * [backup-simplify]: Simplify (- 0) into 0 53.596 * [backup-simplify]: Simplify (+ 0 0) into 0 53.597 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.599 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.602 * [backup-simplify]: Simplify (- 0) into 0 53.602 * [backup-simplify]: Simplify (+ 0 0) into 0 53.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.605 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.607 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 53.608 * [taylor]: Taking taylor expansion of 0 in phi1 53.608 * [backup-simplify]: Simplify 0 into 0 53.608 * [taylor]: Taking taylor expansion of 0 in phi2 53.608 * [backup-simplify]: Simplify 0 into 0 53.608 * [backup-simplify]: Simplify 0 into 0 53.608 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 53.609 * [backup-simplify]: Simplify (cbrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) 53.609 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 53.609 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi2 53.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi2 53.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi2 53.610 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.610 * [backup-simplify]: Simplify 1/3 into 1/3 53.610 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 53.610 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 53.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 53.610 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 53.610 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.610 * [taylor]: Taking taylor expansion of phi2 in phi2 53.610 * [backup-simplify]: Simplify 0 into 0 53.610 * [backup-simplify]: Simplify 1 into 1 53.611 * [backup-simplify]: Simplify (* 1 1) into 1 53.611 * [backup-simplify]: Simplify (/ 1 1) into 1 53.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 53.611 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 53.611 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 53.611 * [taylor]: Taking taylor expansion of phi1 in phi2 53.611 * [backup-simplify]: Simplify phi1 into phi1 53.611 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.611 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.611 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 53.611 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 53.611 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.611 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.611 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.611 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.611 * [backup-simplify]: Simplify -1/2 into -1/2 53.611 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.611 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.612 * [taylor]: Taking taylor expansion of phi1 in phi2 53.612 * [backup-simplify]: Simplify phi1 into phi1 53.612 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.612 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.612 * [taylor]: Taking taylor expansion of phi2 in phi2 53.612 * [backup-simplify]: Simplify 0 into 0 53.612 * [backup-simplify]: Simplify 1 into 1 53.612 * [backup-simplify]: Simplify (/ 1 1) into 1 53.612 * [backup-simplify]: Simplify (+ 0 1) into 1 53.613 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.613 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.613 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 53.613 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.613 * [backup-simplify]: Simplify lambda1 into lambda1 53.613 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.613 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.613 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.613 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 53.613 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.613 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.613 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.613 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.613 * [backup-simplify]: Simplify -1/2 into -1/2 53.613 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.613 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.613 * [taylor]: Taking taylor expansion of phi1 in phi2 53.613 * [backup-simplify]: Simplify phi1 into phi1 53.613 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.613 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.613 * [taylor]: Taking taylor expansion of phi2 in phi2 53.613 * [backup-simplify]: Simplify 0 into 0 53.613 * [backup-simplify]: Simplify 1 into 1 53.614 * [backup-simplify]: Simplify (/ 1 1) into 1 53.614 * [backup-simplify]: Simplify (+ 0 1) into 1 53.614 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.614 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.615 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 53.615 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.615 * [backup-simplify]: Simplify lambda2 into lambda2 53.615 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.615 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.615 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.615 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 53.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 53.615 * [taylor]: Taking taylor expansion of 2 in phi2 53.615 * [backup-simplify]: Simplify 2 into 2 53.615 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 53.615 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 53.615 * [taylor]: Taking taylor expansion of phi1 in phi2 53.615 * [backup-simplify]: Simplify phi1 into phi1 53.615 * [taylor]: Taking taylor expansion of phi2 in phi2 53.615 * [backup-simplify]: Simplify 0 into 0 53.615 * [backup-simplify]: Simplify 1 into 1 53.615 * [backup-simplify]: Simplify (* phi1 0) into 0 53.615 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 53.615 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.615 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 53.615 * [taylor]: Taking taylor expansion of 2 in phi2 53.615 * [backup-simplify]: Simplify 2 into 2 53.615 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 53.615 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.616 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.616 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.616 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.616 * [backup-simplify]: Simplify -1/2 into -1/2 53.616 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.616 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.616 * [taylor]: Taking taylor expansion of phi1 in phi2 53.616 * [backup-simplify]: Simplify phi1 into phi1 53.616 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.616 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.616 * [taylor]: Taking taylor expansion of phi2 in phi2 53.616 * [backup-simplify]: Simplify 0 into 0 53.616 * [backup-simplify]: Simplify 1 into 1 53.616 * [backup-simplify]: Simplify (/ 1 1) into 1 53.616 * [backup-simplify]: Simplify (+ 0 1) into 1 53.616 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.617 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.617 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 53.617 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.617 * [backup-simplify]: Simplify lambda1 into lambda1 53.617 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.617 * [backup-simplify]: Simplify lambda2 into lambda2 53.617 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.617 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 53.617 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 53.617 * [backup-simplify]: Simplify (+ 1 0) into 1 53.618 * [backup-simplify]: Simplify (+ 1 0) into 1 53.618 * [backup-simplify]: Simplify (log 1) into 0 53.618 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 53.618 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 53.618 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 53.618 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi1 53.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi1 53.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi1 53.618 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.618 * [backup-simplify]: Simplify 1/3 into 1/3 53.618 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 53.618 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 53.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 53.618 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 53.618 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.618 * [taylor]: Taking taylor expansion of phi2 in phi1 53.618 * [backup-simplify]: Simplify phi2 into phi2 53.618 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.618 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 53.619 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 53.619 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.619 * [taylor]: Taking taylor expansion of phi1 in phi1 53.619 * [backup-simplify]: Simplify 0 into 0 53.619 * [backup-simplify]: Simplify 1 into 1 53.619 * [backup-simplify]: Simplify (* 1 1) into 1 53.619 * [backup-simplify]: Simplify (/ 1 1) into 1 53.619 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 53.619 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 53.619 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.619 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.619 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.619 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.619 * [backup-simplify]: Simplify -1/2 into -1/2 53.619 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.619 * [taylor]: Taking taylor expansion of phi1 in phi1 53.619 * [backup-simplify]: Simplify 0 into 0 53.619 * [backup-simplify]: Simplify 1 into 1 53.619 * [backup-simplify]: Simplify (/ 1 1) into 1 53.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.620 * [taylor]: Taking taylor expansion of phi2 in phi1 53.620 * [backup-simplify]: Simplify phi2 into phi2 53.620 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.620 * [backup-simplify]: Simplify (+ 1 0) into 1 53.620 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.620 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.620 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 53.620 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.620 * [backup-simplify]: Simplify lambda1 into lambda1 53.620 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.620 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.621 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.621 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 53.621 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.621 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.621 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.621 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.621 * [backup-simplify]: Simplify -1/2 into -1/2 53.621 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.621 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.621 * [taylor]: Taking taylor expansion of phi1 in phi1 53.621 * [backup-simplify]: Simplify 0 into 0 53.621 * [backup-simplify]: Simplify 1 into 1 53.621 * [backup-simplify]: Simplify (/ 1 1) into 1 53.621 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.621 * [taylor]: Taking taylor expansion of phi2 in phi1 53.621 * [backup-simplify]: Simplify phi2 into phi2 53.621 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.621 * [backup-simplify]: Simplify (+ 1 0) into 1 53.622 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.622 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.622 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 53.622 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.622 * [backup-simplify]: Simplify lambda2 into lambda2 53.622 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.622 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.622 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.622 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 53.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 53.622 * [taylor]: Taking taylor expansion of 2 in phi1 53.622 * [backup-simplify]: Simplify 2 into 2 53.622 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 53.622 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.622 * [taylor]: Taking taylor expansion of phi1 in phi1 53.622 * [backup-simplify]: Simplify 0 into 0 53.622 * [backup-simplify]: Simplify 1 into 1 53.622 * [taylor]: Taking taylor expansion of phi2 in phi1 53.622 * [backup-simplify]: Simplify phi2 into phi2 53.622 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.623 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.623 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 53.623 * [taylor]: Taking taylor expansion of 2 in phi1 53.623 * [backup-simplify]: Simplify 2 into 2 53.623 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 53.623 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.623 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.623 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.623 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.623 * [backup-simplify]: Simplify -1/2 into -1/2 53.623 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.623 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.623 * [taylor]: Taking taylor expansion of phi1 in phi1 53.623 * [backup-simplify]: Simplify 0 into 0 53.623 * [backup-simplify]: Simplify 1 into 1 53.623 * [backup-simplify]: Simplify (/ 1 1) into 1 53.623 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.623 * [taylor]: Taking taylor expansion of phi2 in phi1 53.623 * [backup-simplify]: Simplify phi2 into phi2 53.623 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.623 * [backup-simplify]: Simplify (+ 1 0) into 1 53.624 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.624 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.624 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 53.624 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.624 * [backup-simplify]: Simplify lambda1 into lambda1 53.624 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.624 * [backup-simplify]: Simplify lambda2 into lambda2 53.624 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.624 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 53.624 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 53.624 * [backup-simplify]: Simplify (+ 1 0) into 1 53.625 * [backup-simplify]: Simplify (+ 0 1) into 1 53.625 * [backup-simplify]: Simplify (+ 1 0) into 1 53.625 * [backup-simplify]: Simplify (log 1) into 0 53.625 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 53.626 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 53.626 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 53.626 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda2 53.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda2 53.626 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.626 * [backup-simplify]: Simplify 1/3 into 1/3 53.626 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 53.626 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.626 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.626 * [backup-simplify]: Simplify phi2 into phi2 53.626 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.626 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 53.626 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.626 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.626 * [backup-simplify]: Simplify phi1 into phi1 53.626 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.626 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.626 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 53.626 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.626 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.626 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.626 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.626 * [backup-simplify]: Simplify -1/2 into -1/2 53.626 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.626 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.626 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.626 * [backup-simplify]: Simplify phi1 into phi1 53.626 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.626 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.626 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.626 * [backup-simplify]: Simplify phi2 into phi2 53.626 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.626 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.627 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.627 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.627 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.627 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.627 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.627 * [backup-simplify]: Simplify (- 0) into 0 53.627 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.627 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 53.627 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.627 * [backup-simplify]: Simplify lambda1 into lambda1 53.627 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.627 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.628 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.628 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 53.628 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.628 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.628 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.628 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.628 * [backup-simplify]: Simplify -1/2 into -1/2 53.628 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.628 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.628 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.628 * [backup-simplify]: Simplify phi1 into phi1 53.628 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.628 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.628 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.628 * [backup-simplify]: Simplify phi2 into phi2 53.628 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.628 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.628 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.628 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.628 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.628 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.628 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.629 * [backup-simplify]: Simplify (- 0) into 0 53.629 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.629 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.629 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.629 * [backup-simplify]: Simplify 0 into 0 53.629 * [backup-simplify]: Simplify 1 into 1 53.629 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.629 * [backup-simplify]: Simplify (* 1 1) into 1 53.629 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.629 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 53.629 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 53.629 * [taylor]: Taking taylor expansion of 2 in lambda2 53.629 * [backup-simplify]: Simplify 2 into 2 53.629 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 53.629 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.629 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.629 * [backup-simplify]: Simplify phi1 into phi1 53.629 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.629 * [backup-simplify]: Simplify phi2 into phi2 53.629 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.630 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.630 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 53.630 * [taylor]: Taking taylor expansion of 2 in lambda2 53.630 * [backup-simplify]: Simplify 2 into 2 53.630 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 53.630 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.630 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.630 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.630 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.630 * [backup-simplify]: Simplify -1/2 into -1/2 53.630 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.630 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.630 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.630 * [backup-simplify]: Simplify phi1 into phi1 53.630 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.630 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.630 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.630 * [backup-simplify]: Simplify phi2 into phi2 53.630 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.630 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.630 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.630 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.630 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.630 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.630 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.631 * [backup-simplify]: Simplify (- 0) into 0 53.631 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.631 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 53.631 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.631 * [backup-simplify]: Simplify lambda1 into lambda1 53.631 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.631 * [backup-simplify]: Simplify 0 into 0 53.631 * [backup-simplify]: Simplify 1 into 1 53.631 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.631 * [backup-simplify]: Simplify (* lambda1 0) into 0 53.631 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 53.631 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 53.631 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.632 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.632 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.632 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.632 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.632 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 53.632 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 53.633 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 53.633 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 53.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 53.633 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.633 * [backup-simplify]: Simplify 1/3 into 1/3 53.633 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 53.633 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.633 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.633 * [backup-simplify]: Simplify phi2 into phi2 53.633 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.633 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 53.633 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.633 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.633 * [backup-simplify]: Simplify phi1 into phi1 53.633 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.633 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.633 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 53.633 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.633 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.633 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.633 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.633 * [backup-simplify]: Simplify -1/2 into -1/2 53.633 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.633 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.633 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.633 * [backup-simplify]: Simplify phi1 into phi1 53.633 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.633 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.633 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.633 * [backup-simplify]: Simplify phi2 into phi2 53.633 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.634 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.634 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.634 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.634 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.634 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.634 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.634 * [backup-simplify]: Simplify (- 0) into 0 53.634 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.634 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.634 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.634 * [backup-simplify]: Simplify 0 into 0 53.634 * [backup-simplify]: Simplify 1 into 1 53.634 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.635 * [backup-simplify]: Simplify (* 1 1) into 1 53.635 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.635 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 53.635 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.635 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.635 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.635 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.635 * [backup-simplify]: Simplify -1/2 into -1/2 53.635 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.635 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.635 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.635 * [backup-simplify]: Simplify phi1 into phi1 53.635 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.635 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.635 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.635 * [backup-simplify]: Simplify phi2 into phi2 53.635 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.635 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.635 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.635 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.635 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.636 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.636 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.636 * [backup-simplify]: Simplify (- 0) into 0 53.636 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.636 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.636 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.636 * [backup-simplify]: Simplify lambda2 into lambda2 53.636 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.636 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.636 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.636 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 53.636 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 53.636 * [taylor]: Taking taylor expansion of 2 in lambda1 53.636 * [backup-simplify]: Simplify 2 into 2 53.636 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 53.636 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.636 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.636 * [backup-simplify]: Simplify phi1 into phi1 53.636 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.636 * [backup-simplify]: Simplify phi2 into phi2 53.637 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.637 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.637 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 53.637 * [taylor]: Taking taylor expansion of 2 in lambda1 53.637 * [backup-simplify]: Simplify 2 into 2 53.637 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 53.637 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.637 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.637 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.637 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.637 * [backup-simplify]: Simplify -1/2 into -1/2 53.637 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.637 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.637 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.637 * [backup-simplify]: Simplify phi1 into phi1 53.637 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.637 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.637 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.637 * [backup-simplify]: Simplify phi2 into phi2 53.637 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.637 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.637 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.637 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.637 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.637 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.637 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.638 * [backup-simplify]: Simplify (- 0) into 0 53.638 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.638 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 53.638 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.638 * [backup-simplify]: Simplify 0 into 0 53.638 * [backup-simplify]: Simplify 1 into 1 53.638 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.638 * [backup-simplify]: Simplify lambda2 into lambda2 53.638 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.638 * [backup-simplify]: Simplify (* 0 lambda2) into 0 53.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 53.638 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 53.638 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.639 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.639 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.639 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.639 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.639 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.639 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.640 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.640 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 53.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 53.640 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.640 * [backup-simplify]: Simplify 1/3 into 1/3 53.640 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 53.640 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.640 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.640 * [backup-simplify]: Simplify phi2 into phi2 53.640 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.640 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 53.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 53.640 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.640 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.640 * [backup-simplify]: Simplify phi1 into phi1 53.640 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.640 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.640 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 53.640 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.640 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.640 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.640 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.640 * [backup-simplify]: Simplify -1/2 into -1/2 53.640 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.640 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.640 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.640 * [backup-simplify]: Simplify phi1 into phi1 53.640 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.640 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.640 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.640 * [backup-simplify]: Simplify phi2 into phi2 53.640 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.641 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.641 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.641 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.641 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.641 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.641 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.642 * [backup-simplify]: Simplify (- 0) into 0 53.642 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.642 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.642 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.642 * [backup-simplify]: Simplify 0 into 0 53.642 * [backup-simplify]: Simplify 1 into 1 53.642 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.643 * [backup-simplify]: Simplify (* 1 1) into 1 53.643 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.643 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 53.643 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.643 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.643 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.643 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.643 * [backup-simplify]: Simplify -1/2 into -1/2 53.643 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.643 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.643 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.643 * [backup-simplify]: Simplify phi1 into phi1 53.643 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.643 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.643 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.643 * [backup-simplify]: Simplify phi2 into phi2 53.643 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.643 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.643 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.644 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.644 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.644 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.644 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.644 * [backup-simplify]: Simplify (- 0) into 0 53.645 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.645 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.645 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.645 * [backup-simplify]: Simplify lambda2 into lambda2 53.645 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.645 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.645 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.645 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 53.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 53.645 * [taylor]: Taking taylor expansion of 2 in lambda1 53.645 * [backup-simplify]: Simplify 2 into 2 53.645 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 53.645 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.645 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.645 * [backup-simplify]: Simplify phi1 into phi1 53.646 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.646 * [backup-simplify]: Simplify phi2 into phi2 53.646 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.646 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 53.646 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 53.646 * [taylor]: Taking taylor expansion of 2 in lambda1 53.646 * [backup-simplify]: Simplify 2 into 2 53.646 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 53.646 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 53.646 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 53.646 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 53.646 * [taylor]: Taking taylor expansion of -1/2 in lambda1 53.646 * [backup-simplify]: Simplify -1/2 into -1/2 53.646 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 53.646 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 53.646 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.646 * [backup-simplify]: Simplify phi1 into phi1 53.646 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.646 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 53.646 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.646 * [backup-simplify]: Simplify phi2 into phi2 53.646 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.646 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.646 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.647 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.647 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.647 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.647 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.647 * [backup-simplify]: Simplify (- 0) into 0 53.648 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.648 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 53.648 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.648 * [backup-simplify]: Simplify 0 into 0 53.648 * [backup-simplify]: Simplify 1 into 1 53.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.648 * [backup-simplify]: Simplify lambda2 into lambda2 53.648 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.648 * [backup-simplify]: Simplify (* 0 lambda2) into 0 53.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 53.649 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 53.649 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.649 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.649 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.650 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.650 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.650 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.651 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.651 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.651 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.651 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.651 * [backup-simplify]: Simplify 1/3 into 1/3 53.651 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.651 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.651 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.651 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.651 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.651 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.651 * [backup-simplify]: Simplify -1/2 into -1/2 53.651 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.651 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.651 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.651 * [backup-simplify]: Simplify phi1 into phi1 53.652 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.652 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.652 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.652 * [backup-simplify]: Simplify phi2 into phi2 53.652 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.652 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.652 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.652 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.652 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.652 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.653 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.653 * [backup-simplify]: Simplify (- 0) into 0 53.653 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.653 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.654 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.654 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.654 * [taylor]: Taking taylor expansion of 2 in lambda2 53.654 * [backup-simplify]: Simplify 2 into 2 53.654 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.654 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.654 * [backup-simplify]: Simplify lambda1 into lambda1 53.654 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.654 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.654 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.654 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.654 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.655 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.655 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.655 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.655 * [backup-simplify]: Simplify 1/3 into 1/3 53.655 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.655 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.655 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.655 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.655 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.655 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.655 * [backup-simplify]: Simplify -1/2 into -1/2 53.655 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.655 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.655 * [taylor]: Taking taylor expansion of phi1 in phi1 53.655 * [backup-simplify]: Simplify 0 into 0 53.655 * [backup-simplify]: Simplify 1 into 1 53.656 * [backup-simplify]: Simplify (/ 1 1) into 1 53.656 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.656 * [taylor]: Taking taylor expansion of phi2 in phi1 53.656 * [backup-simplify]: Simplify phi2 into phi2 53.656 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.656 * [backup-simplify]: Simplify (+ 1 0) into 1 53.657 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.657 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.657 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.657 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.657 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.657 * [taylor]: Taking taylor expansion of 2 in phi1 53.657 * [backup-simplify]: Simplify 2 into 2 53.657 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.657 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.657 * [backup-simplify]: Simplify lambda1 into lambda1 53.657 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.657 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.657 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.657 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.657 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.658 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 53.658 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 53.658 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.658 * [backup-simplify]: Simplify 1/3 into 1/3 53.658 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 53.658 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 53.658 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.658 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.658 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.658 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.658 * [backup-simplify]: Simplify -1/2 into -1/2 53.658 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.658 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.658 * [taylor]: Taking taylor expansion of phi1 in phi2 53.658 * [backup-simplify]: Simplify phi1 into phi1 53.658 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.658 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.658 * [taylor]: Taking taylor expansion of phi2 in phi2 53.658 * [backup-simplify]: Simplify 0 into 0 53.658 * [backup-simplify]: Simplify 1 into 1 53.658 * [backup-simplify]: Simplify (/ 1 1) into 1 53.658 * [backup-simplify]: Simplify (+ 0 1) into 1 53.659 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.659 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.659 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.659 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.659 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 53.659 * [taylor]: Taking taylor expansion of 2 in phi2 53.659 * [backup-simplify]: Simplify 2 into 2 53.659 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 53.659 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.659 * [backup-simplify]: Simplify lambda1 into lambda1 53.659 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.659 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.659 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.659 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.660 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.660 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.660 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.660 * [backup-simplify]: Simplify (+ 0) into 0 53.661 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.661 * [backup-simplify]: Simplify (+ 0 0) into 0 53.661 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.662 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.662 * [backup-simplify]: Simplify (- 0) into 0 53.662 * [backup-simplify]: Simplify (+ 0 0) into 0 53.663 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 53.664 * [backup-simplify]: Simplify (+ 0 0) into 0 53.664 * [backup-simplify]: Simplify (+ 0 0) into 0 53.664 * [backup-simplify]: Simplify (+ 0 0) into 0 53.665 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 53.665 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 53.665 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 53.665 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 53.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 53.666 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.666 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 53.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 53.666 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 53.666 * [taylor]: Taking taylor expansion of -2/3 in lambda2 53.666 * [backup-simplify]: Simplify -2/3 into -2/3 53.666 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 53.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.666 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.666 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.666 * [backup-simplify]: Simplify 1/3 into 1/3 53.667 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.667 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.667 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.667 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.667 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.667 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.667 * [backup-simplify]: Simplify -1/2 into -1/2 53.667 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.667 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.667 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.667 * [backup-simplify]: Simplify phi1 into phi1 53.667 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.667 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.667 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.667 * [backup-simplify]: Simplify phi2 into phi2 53.667 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.667 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.667 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.667 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.667 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.667 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.667 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.667 * [backup-simplify]: Simplify (- 0) into 0 53.668 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.668 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.668 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.668 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.668 * [taylor]: Taking taylor expansion of 2 in lambda2 53.668 * [backup-simplify]: Simplify 2 into 2 53.668 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.668 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.668 * [backup-simplify]: Simplify lambda1 into lambda1 53.668 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.668 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.668 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.668 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.668 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.669 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.669 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.669 * [backup-simplify]: Simplify 0 into 0 53.669 * [backup-simplify]: Simplify 1 into 1 53.669 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.669 * [backup-simplify]: Simplify (+ 0) into 0 53.669 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.670 * [backup-simplify]: Simplify (+ 0 0) into 0 53.670 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.671 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.671 * [backup-simplify]: Simplify (- 0) into 0 53.672 * [backup-simplify]: Simplify (+ 0 0) into 0 53.672 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.673 * [backup-simplify]: Simplify (- 0) into 0 53.674 * [backup-simplify]: Simplify (+ 0 0) into 0 53.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 53.676 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 53.676 * [taylor]: Taking taylor expansion of 0 in phi1 53.676 * [backup-simplify]: Simplify 0 into 0 53.676 * [taylor]: Taking taylor expansion of 0 in phi2 53.676 * [backup-simplify]: Simplify 0 into 0 53.676 * [backup-simplify]: Simplify 0 into 0 53.676 * [backup-simplify]: Simplify (+ 0) into 0 53.676 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.677 * [backup-simplify]: Simplify (+ 0 0) into 0 53.678 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.679 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.679 * [backup-simplify]: Simplify (- 0) into 0 53.680 * [backup-simplify]: Simplify (+ 0 0) into 0 53.680 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.682 * [backup-simplify]: Simplify (- 0) into 0 53.683 * [backup-simplify]: Simplify (+ 0 0) into 0 53.683 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.684 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.684 * [taylor]: Taking taylor expansion of 0 in phi1 53.684 * [backup-simplify]: Simplify 0 into 0 53.685 * [taylor]: Taking taylor expansion of 0 in phi2 53.685 * [backup-simplify]: Simplify 0 into 0 53.685 * [backup-simplify]: Simplify 0 into 0 53.685 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.687 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.687 * [backup-simplify]: Simplify (- 0) into 0 53.690 * [backup-simplify]: Simplify (+ 0 0) into 0 53.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.692 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.692 * [taylor]: Taking taylor expansion of 0 in phi2 53.692 * [backup-simplify]: Simplify 0 into 0 53.692 * [backup-simplify]: Simplify 0 into 0 53.692 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.695 * [backup-simplify]: Simplify (- 0) into 0 53.695 * [backup-simplify]: Simplify (+ 0 0) into 0 53.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.697 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.697 * [backup-simplify]: Simplify 0 into 0 53.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.699 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.699 * [backup-simplify]: Simplify (+ 0 0) into 0 53.700 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.701 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.702 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.702 * [backup-simplify]: Simplify (- 0) into 0 53.703 * [backup-simplify]: Simplify (+ 0 0) into 0 53.703 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.706 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.706 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 53.707 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 53.707 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 53.707 * [backup-simplify]: Simplify (+ 0) into 0 53.708 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.708 * [backup-simplify]: Simplify (+ 0 0) into 0 53.709 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.710 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.711 * [backup-simplify]: Simplify (- 0) into 0 53.711 * [backup-simplify]: Simplify (+ 0 0) into 0 53.711 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 53.712 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 53.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 53.713 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 53.713 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 53.714 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 53.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 53.717 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.718 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 53.721 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) 53.721 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) in lambda2 53.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 53.721 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 53.721 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.721 * [backup-simplify]: Simplify 1/3 into 1/3 53.721 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 53.721 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 53.721 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.721 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.721 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.721 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.721 * [backup-simplify]: Simplify -1/2 into -1/2 53.721 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.721 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.721 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.721 * [backup-simplify]: Simplify phi1 into phi1 53.722 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.722 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.722 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.722 * [backup-simplify]: Simplify phi2 into phi2 53.722 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.722 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.722 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.722 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.722 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.722 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.722 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.723 * [backup-simplify]: Simplify (- 0) into 0 53.723 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.723 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.724 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.724 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 53.724 * [taylor]: Taking taylor expansion of 2 in lambda2 53.724 * [backup-simplify]: Simplify 2 into 2 53.724 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 53.724 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.724 * [backup-simplify]: Simplify lambda1 into lambda1 53.724 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.724 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.724 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.724 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.724 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.725 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.725 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 53.725 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 53.725 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 53.725 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.725 * [backup-simplify]: Simplify 1/3 into 1/3 53.725 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 53.725 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 53.725 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.725 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.725 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.725 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.725 * [backup-simplify]: Simplify -1/2 into -1/2 53.725 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.725 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.725 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.725 * [backup-simplify]: Simplify phi1 into phi1 53.725 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.725 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.725 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.725 * [backup-simplify]: Simplify phi2 into phi2 53.725 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.725 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.726 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.726 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.726 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.726 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.726 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.727 * [backup-simplify]: Simplify (- 0) into 0 53.727 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.727 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.727 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.727 * [backup-simplify]: Simplify phi2 into phi2 53.727 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.727 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.728 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 53.728 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.728 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 53.728 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.728 * [backup-simplify]: Simplify 1/3 into 1/3 53.728 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 53.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 53.728 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.728 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.728 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.728 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.728 * [backup-simplify]: Simplify -1/2 into -1/2 53.728 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.728 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.728 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.728 * [backup-simplify]: Simplify phi1 into phi1 53.728 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.728 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.728 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.728 * [backup-simplify]: Simplify phi2 into phi2 53.729 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.729 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.729 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.729 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.729 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.729 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.729 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.730 * [backup-simplify]: Simplify (- 0) into 0 53.730 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.730 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.730 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.730 * [backup-simplify]: Simplify phi1 into phi1 53.731 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.731 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.731 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 53.731 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 53.731 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 53.731 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 53.731 * [taylor]: Taking taylor expansion of 2/3 in lambda2 53.731 * [backup-simplify]: Simplify 2/3 into 2/3 53.731 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 53.731 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 53.731 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 53.732 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 53.732 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 53.732 * [taylor]: Taking taylor expansion of -1/2 in lambda2 53.732 * [backup-simplify]: Simplify -1/2 into -1/2 53.732 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 53.732 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 53.732 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.732 * [backup-simplify]: Simplify phi1 into phi1 53.732 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 53.732 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.732 * [backup-simplify]: Simplify phi2 into phi2 53.732 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.732 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 53.732 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 53.732 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.732 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.732 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.733 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 53.733 * [backup-simplify]: Simplify (- 0) into 0 53.733 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.733 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.733 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.733 * [backup-simplify]: Simplify phi1 into phi1 53.733 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.733 * [backup-simplify]: Simplify phi2 into phi2 53.734 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.734 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.734 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 53.734 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 53.734 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 53.734 * [taylor]: Taking taylor expansion of 1/9 in lambda2 53.734 * [backup-simplify]: Simplify 1/9 into 1/9 53.734 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 53.734 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.734 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.734 * [backup-simplify]: Simplify 0 into 0 53.734 * [backup-simplify]: Simplify 1 into 1 53.735 * [backup-simplify]: Simplify (* 1 1) into 1 53.735 * [backup-simplify]: Simplify (/ 1 1) into 1 53.735 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.736 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 53.736 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 53.737 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 53.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.741 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 53.741 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 53.742 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.743 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.743 * [backup-simplify]: Simplify (+ 0) into 0 53.744 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 53.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 53.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 53.744 * [backup-simplify]: Simplify (+ 0 0) into 0 53.745 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 53.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.746 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 53.746 * [backup-simplify]: Simplify (- 0) into 0 53.747 * [backup-simplify]: Simplify (+ 0 0) into 0 53.747 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.749 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.750 * [backup-simplify]: Simplify (- 0) into 0 53.750 * [backup-simplify]: Simplify (+ 0 0) into 0 53.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.752 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.752 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 53.753 * [backup-simplify]: Simplify (+ 0 0) into 0 53.753 * [backup-simplify]: Simplify (- 0) into 0 53.754 * [backup-simplify]: Simplify (+ 0 0) into 0 53.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.755 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.756 * [backup-simplify]: Simplify (+ 0 0) into 0 53.757 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.758 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.759 * [backup-simplify]: Simplify (- 0) into 0 53.759 * [backup-simplify]: Simplify (+ 0 0) into 0 53.760 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.765 * [backup-simplify]: Simplify (- 0) into 0 53.765 * [backup-simplify]: Simplify (+ 0 0) into 0 53.766 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.768 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.768 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 53.769 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 53.769 * [backup-simplify]: Simplify (- 1/9) into -1/9 53.769 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 53.772 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) (+ (* 0 0) (* 0 -1/9))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 53.772 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 53.772 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in phi1 53.772 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 53.772 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.772 * [backup-simplify]: Simplify 1/3 into 1/3 53.772 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 53.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.772 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.772 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.772 * [backup-simplify]: Simplify 1/3 into 1/3 53.772 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.772 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.772 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.772 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.773 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.773 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.773 * [backup-simplify]: Simplify -1/2 into -1/2 53.773 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.773 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.773 * [taylor]: Taking taylor expansion of phi1 in phi1 53.773 * [backup-simplify]: Simplify 0 into 0 53.773 * [backup-simplify]: Simplify 1 into 1 53.773 * [backup-simplify]: Simplify (/ 1 1) into 1 53.773 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.773 * [taylor]: Taking taylor expansion of phi2 in phi1 53.773 * [backup-simplify]: Simplify phi2 into phi2 53.773 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.774 * [backup-simplify]: Simplify (+ 1 0) into 1 53.774 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.774 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.775 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.775 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.775 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.775 * [taylor]: Taking taylor expansion of 2 in phi1 53.775 * [backup-simplify]: Simplify 2 into 2 53.775 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.775 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.775 * [backup-simplify]: Simplify lambda1 into lambda1 53.775 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.775 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.775 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.775 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.776 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.776 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.776 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 53.776 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.776 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.776 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.776 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.776 * [backup-simplify]: Simplify -1/2 into -1/2 53.776 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.776 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.776 * [taylor]: Taking taylor expansion of phi1 in phi1 53.776 * [backup-simplify]: Simplify 0 into 0 53.776 * [backup-simplify]: Simplify 1 into 1 53.777 * [backup-simplify]: Simplify (/ 1 1) into 1 53.777 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.777 * [taylor]: Taking taylor expansion of phi2 in phi1 53.777 * [backup-simplify]: Simplify phi2 into phi2 53.777 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.777 * [backup-simplify]: Simplify (+ 1 0) into 1 53.778 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.778 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.778 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.778 * [taylor]: Taking taylor expansion of phi2 in phi1 53.778 * [backup-simplify]: Simplify phi2 into phi2 53.778 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.778 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.779 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 53.779 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 53.779 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 53.779 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.779 * [backup-simplify]: Simplify 1/3 into 1/3 53.779 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 53.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.779 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.779 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.779 * [backup-simplify]: Simplify 1/3 into 1/3 53.779 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.779 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.779 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.779 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.779 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.780 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.780 * [backup-simplify]: Simplify -1/2 into -1/2 53.780 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.780 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.780 * [taylor]: Taking taylor expansion of phi1 in phi1 53.780 * [backup-simplify]: Simplify 0 into 0 53.780 * [backup-simplify]: Simplify 1 into 1 53.780 * [backup-simplify]: Simplify (/ 1 1) into 1 53.780 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.780 * [taylor]: Taking taylor expansion of phi2 in phi1 53.780 * [backup-simplify]: Simplify phi2 into phi2 53.780 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.781 * [backup-simplify]: Simplify (+ 1 0) into 1 53.781 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.782 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.782 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.782 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.782 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.782 * [taylor]: Taking taylor expansion of 2 in phi1 53.782 * [backup-simplify]: Simplify 2 into 2 53.782 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.782 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.782 * [backup-simplify]: Simplify lambda1 into lambda1 53.782 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.782 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.782 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.783 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.783 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.783 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.783 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 53.783 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.783 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.783 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.783 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.783 * [backup-simplify]: Simplify -1/2 into -1/2 53.784 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.784 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.784 * [taylor]: Taking taylor expansion of phi1 in phi1 53.784 * [backup-simplify]: Simplify 0 into 0 53.784 * [backup-simplify]: Simplify 1 into 1 53.784 * [backup-simplify]: Simplify (/ 1 1) into 1 53.784 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.784 * [taylor]: Taking taylor expansion of phi2 in phi1 53.784 * [backup-simplify]: Simplify phi2 into phi2 53.784 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.785 * [backup-simplify]: Simplify (+ 1 0) into 1 53.785 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.785 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.785 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.785 * [taylor]: Taking taylor expansion of phi1 in phi1 53.785 * [backup-simplify]: Simplify 0 into 0 53.785 * [backup-simplify]: Simplify 1 into 1 53.786 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.786 * [backup-simplify]: Simplify (* 1 1) into 1 53.786 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.787 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.787 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 53.787 * [taylor]: Taking taylor expansion of 2/3 in phi1 53.787 * [backup-simplify]: Simplify 2/3 into 2/3 53.787 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 53.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 53.787 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 53.787 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.787 * [backup-simplify]: Simplify 1/3 into 1/3 53.787 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 53.787 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 53.787 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.787 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.787 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.787 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.787 * [backup-simplify]: Simplify -1/2 into -1/2 53.787 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.787 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.787 * [taylor]: Taking taylor expansion of phi1 in phi1 53.788 * [backup-simplify]: Simplify 0 into 0 53.788 * [backup-simplify]: Simplify 1 into 1 53.788 * [backup-simplify]: Simplify (/ 1 1) into 1 53.788 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.788 * [taylor]: Taking taylor expansion of phi2 in phi1 53.788 * [backup-simplify]: Simplify phi2 into phi2 53.788 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.789 * [backup-simplify]: Simplify (+ 1 0) into 1 53.789 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.789 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.789 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.790 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.790 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 53.790 * [taylor]: Taking taylor expansion of 2 in phi1 53.790 * [backup-simplify]: Simplify 2 into 2 53.790 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 53.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.790 * [backup-simplify]: Simplify lambda1 into lambda1 53.790 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.790 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.790 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.790 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.791 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.791 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.791 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 53.791 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.791 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.791 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.791 * [taylor]: Taking taylor expansion of -1/2 in phi1 53.791 * [backup-simplify]: Simplify -1/2 into -1/2 53.791 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.791 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.791 * [taylor]: Taking taylor expansion of phi1 in phi1 53.791 * [backup-simplify]: Simplify 0 into 0 53.791 * [backup-simplify]: Simplify 1 into 1 53.792 * [backup-simplify]: Simplify (/ 1 1) into 1 53.792 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.792 * [taylor]: Taking taylor expansion of phi2 in phi1 53.792 * [backup-simplify]: Simplify phi2 into phi2 53.792 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 53.792 * [backup-simplify]: Simplify (+ 1 0) into 1 53.793 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.793 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.793 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.793 * [taylor]: Taking taylor expansion of phi1 in phi1 53.793 * [backup-simplify]: Simplify 0 into 0 53.793 * [backup-simplify]: Simplify 1 into 1 53.793 * [taylor]: Taking taylor expansion of phi2 in phi1 53.793 * [backup-simplify]: Simplify phi2 into phi2 53.793 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.793 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.793 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 53.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.794 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.794 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 53.794 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 53.795 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.795 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.796 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.796 * [backup-simplify]: Simplify (- 0) into 0 53.797 * [backup-simplify]: Simplify (+ 0 0) into 0 53.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.798 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.800 * [backup-simplify]: Simplify (- 0) into 0 53.801 * [backup-simplify]: Simplify (+ 0 0) into 0 53.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.802 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.803 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.804 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.804 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 53.805 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.805 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 53.806 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.806 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.807 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.808 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.809 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.809 * [backup-simplify]: Simplify (- 0) into 0 53.809 * [backup-simplify]: Simplify (+ 0 0) into 0 53.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.810 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 53.811 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.812 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 53.812 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 53.813 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 53.816 * [backup-simplify]: Simplify (- 0) into 0 53.817 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 53.817 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 53.817 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.817 * [backup-simplify]: Simplify 1/3 into 1/3 53.817 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 53.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 53.817 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 53.817 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.817 * [backup-simplify]: Simplify 1/3 into 1/3 53.817 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 53.817 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 53.817 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.817 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.817 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.817 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.817 * [backup-simplify]: Simplify -1/2 into -1/2 53.817 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.817 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.817 * [taylor]: Taking taylor expansion of phi1 in phi2 53.817 * [backup-simplify]: Simplify phi1 into phi1 53.817 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.817 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.817 * [taylor]: Taking taylor expansion of phi2 in phi2 53.817 * [backup-simplify]: Simplify 0 into 0 53.817 * [backup-simplify]: Simplify 1 into 1 53.818 * [backup-simplify]: Simplify (/ 1 1) into 1 53.818 * [backup-simplify]: Simplify (+ 0 1) into 1 53.819 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.819 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.819 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.819 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.819 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 53.819 * [taylor]: Taking taylor expansion of 2 in phi2 53.819 * [backup-simplify]: Simplify 2 into 2 53.819 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 53.819 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.819 * [backup-simplify]: Simplify lambda1 into lambda1 53.819 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 53.819 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 53.819 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 53.819 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 53.820 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 53.820 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 53.820 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 53.820 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.820 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.820 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.820 * [taylor]: Taking taylor expansion of -1/2 in phi2 53.820 * [backup-simplify]: Simplify -1/2 into -1/2 53.820 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.820 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.820 * [taylor]: Taking taylor expansion of phi1 in phi2 53.820 * [backup-simplify]: Simplify phi1 into phi1 53.820 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.820 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.820 * [taylor]: Taking taylor expansion of phi2 in phi2 53.820 * [backup-simplify]: Simplify 0 into 0 53.820 * [backup-simplify]: Simplify 1 into 1 53.820 * [backup-simplify]: Simplify (/ 1 1) into 1 53.821 * [backup-simplify]: Simplify (+ 0 1) into 1 53.821 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 53.821 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.821 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.822 * [taylor]: Taking taylor expansion of phi2 in phi2 53.822 * [backup-simplify]: Simplify 0 into 0 53.822 * [backup-simplify]: Simplify 1 into 1 53.822 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.822 * [backup-simplify]: Simplify (* 1 1) into 1 53.822 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.822 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 53.823 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 53.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 53.824 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 53.824 * [backup-simplify]: Simplify (- 0) into 0 53.825 * [backup-simplify]: Simplify (+ 0 0) into 0 53.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 53.826 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.830 * [backup-simplify]: Simplify (- 0) into 0 53.831 * [backup-simplify]: Simplify (+ 0 0) into 0 53.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.833 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 53.835 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 53.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.836 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.837 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 53.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.838 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 53.839 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.840 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 53.841 * [backup-simplify]: Simplify 0 into 0 53.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.843 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 53.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 53.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 53.844 * [backup-simplify]: Simplify (+ 0 0) into 0 53.845 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 53.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.846 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 53.846 * [backup-simplify]: Simplify (- 0) into 0 53.847 * [backup-simplify]: Simplify (+ 0 0) into 0 53.847 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 53.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 53.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 53.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 53.851 * [backup-simplify]: Simplify (- 0) into 0 53.852 * [backup-simplify]: Simplify (+ 0 0) into 0 53.853 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 53.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.857 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 53.857 * [taylor]: Taking taylor expansion of 0 in phi1 53.857 * [backup-simplify]: Simplify 0 into 0 53.857 * [taylor]: Taking taylor expansion of 0 in phi2 53.857 * [backup-simplify]: Simplify 0 into 0 53.857 * [backup-simplify]: Simplify 0 into 0 53.857 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 53.857 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 53.858 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) into (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) 53.858 * [approximate]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 53.858 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi2 53.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi2 53.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi2 53.858 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.858 * [backup-simplify]: Simplify 1/3 into 1/3 53.858 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 53.858 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 53.858 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 53.858 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 53.858 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 53.858 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 53.858 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 53.858 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.858 * [backup-simplify]: Simplify 1/2 into 1/2 53.858 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 53.858 * [taylor]: Taking taylor expansion of phi1 in phi2 53.858 * [backup-simplify]: Simplify phi1 into phi1 53.858 * [taylor]: Taking taylor expansion of phi2 in phi2 53.858 * [backup-simplify]: Simplify 0 into 0 53.858 * [backup-simplify]: Simplify 1 into 1 53.858 * [backup-simplify]: Simplify (+ phi1 0) into phi1 53.858 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 53.858 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 53.858 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 53.859 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 53.859 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 53.859 * [backup-simplify]: Simplify (- 0) into 0 53.859 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 53.859 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 53.859 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.859 * [backup-simplify]: Simplify lambda1 into lambda1 53.859 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 53.859 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.859 * [taylor]: Taking taylor expansion of phi2 in phi2 53.859 * [backup-simplify]: Simplify 0 into 0 53.859 * [backup-simplify]: Simplify 1 into 1 53.859 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 53.859 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 53.859 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 53.859 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.859 * [backup-simplify]: Simplify lambda2 into lambda2 53.859 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 53.859 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 53.859 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 53.859 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.859 * [backup-simplify]: Simplify 1/2 into 1/2 53.859 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 53.859 * [taylor]: Taking taylor expansion of phi1 in phi2 53.859 * [backup-simplify]: Simplify phi1 into phi1 53.859 * [taylor]: Taking taylor expansion of phi2 in phi2 53.859 * [backup-simplify]: Simplify 0 into 0 53.859 * [backup-simplify]: Simplify 1 into 1 53.859 * [backup-simplify]: Simplify (+ phi1 0) into phi1 53.859 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 53.859 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 53.859 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 53.859 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 53.859 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 53.860 * [backup-simplify]: Simplify (- 0) into 0 53.860 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 53.860 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 53.860 * [taylor]: Taking taylor expansion of phi1 in phi2 53.860 * [backup-simplify]: Simplify phi1 into phi1 53.860 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 53.860 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 53.860 * [taylor]: Taking taylor expansion of 2 in phi2 53.860 * [backup-simplify]: Simplify 2 into 2 53.860 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 53.860 * [taylor]: Taking taylor expansion of phi1 in phi2 53.860 * [backup-simplify]: Simplify phi1 into phi1 53.860 * [taylor]: Taking taylor expansion of phi2 in phi2 53.860 * [backup-simplify]: Simplify 0 into 0 53.860 * [backup-simplify]: Simplify 1 into 1 53.860 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 53.860 * [taylor]: Taking taylor expansion of 2 in phi2 53.860 * [backup-simplify]: Simplify 2 into 2 53.860 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 53.860 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 53.860 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 53.860 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 53.860 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.860 * [backup-simplify]: Simplify 1/2 into 1/2 53.860 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 53.860 * [taylor]: Taking taylor expansion of phi1 in phi2 53.860 * [backup-simplify]: Simplify phi1 into phi1 53.860 * [taylor]: Taking taylor expansion of phi2 in phi2 53.860 * [backup-simplify]: Simplify 0 into 0 53.860 * [backup-simplify]: Simplify 1 into 1 53.860 * [backup-simplify]: Simplify (+ phi1 0) into phi1 53.860 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 53.860 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 53.860 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 53.860 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 53.860 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 53.861 * [backup-simplify]: Simplify (- 0) into 0 53.861 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 53.861 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 53.861 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.861 * [backup-simplify]: Simplify lambda2 into lambda2 53.861 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.861 * [backup-simplify]: Simplify lambda1 into lambda1 53.861 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 53.861 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.861 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 53.861 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.861 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 53.861 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 53.861 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.861 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 53.862 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 53.862 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 53.862 * [backup-simplify]: Simplify (* phi1 0) into 0 53.862 * [backup-simplify]: Simplify (* 2 0) into 0 53.862 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 53.862 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.862 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 53.863 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 53.863 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 53.863 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 53.863 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 53.864 * [backup-simplify]: Simplify (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 53.864 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) into (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) 53.865 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (pow (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1/3) 53.865 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in phi1 53.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in phi1 53.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in phi1 53.865 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.865 * [backup-simplify]: Simplify 1/3 into 1/3 53.865 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 53.865 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 53.865 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 53.865 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 53.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.865 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.865 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.865 * [backup-simplify]: Simplify 1/2 into 1/2 53.865 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.865 * [taylor]: Taking taylor expansion of phi1 in phi1 53.865 * [backup-simplify]: Simplify 0 into 0 53.865 * [backup-simplify]: Simplify 1 into 1 53.865 * [taylor]: Taking taylor expansion of phi2 in phi1 53.865 * [backup-simplify]: Simplify phi2 into phi2 53.865 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.865 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.865 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.865 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.866 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.866 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.866 * [backup-simplify]: Simplify (- 0) into 0 53.866 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.866 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 53.866 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.866 * [backup-simplify]: Simplify lambda1 into lambda1 53.866 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 53.866 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.866 * [taylor]: Taking taylor expansion of phi2 in phi1 53.866 * [backup-simplify]: Simplify phi2 into phi2 53.866 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 53.866 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 53.866 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 53.866 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.866 * [backup-simplify]: Simplify lambda2 into lambda2 53.866 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.866 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.866 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.866 * [backup-simplify]: Simplify 1/2 into 1/2 53.866 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.866 * [taylor]: Taking taylor expansion of phi1 in phi1 53.866 * [backup-simplify]: Simplify 0 into 0 53.866 * [backup-simplify]: Simplify 1 into 1 53.866 * [taylor]: Taking taylor expansion of phi2 in phi1 53.866 * [backup-simplify]: Simplify phi2 into phi2 53.866 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.866 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.866 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.866 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.867 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.867 * [backup-simplify]: Simplify (- 0) into 0 53.867 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.867 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.867 * [taylor]: Taking taylor expansion of phi1 in phi1 53.867 * [backup-simplify]: Simplify 0 into 0 53.867 * [backup-simplify]: Simplify 1 into 1 53.867 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 53.867 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 53.867 * [taylor]: Taking taylor expansion of 2 in phi1 53.867 * [backup-simplify]: Simplify 2 into 2 53.867 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.867 * [taylor]: Taking taylor expansion of phi1 in phi1 53.867 * [backup-simplify]: Simplify 0 into 0 53.867 * [backup-simplify]: Simplify 1 into 1 53.867 * [taylor]: Taking taylor expansion of phi2 in phi1 53.867 * [backup-simplify]: Simplify phi2 into phi2 53.867 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 53.867 * [taylor]: Taking taylor expansion of 2 in phi1 53.867 * [backup-simplify]: Simplify 2 into 2 53.867 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 53.867 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.867 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.867 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.867 * [backup-simplify]: Simplify 1/2 into 1/2 53.867 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.867 * [taylor]: Taking taylor expansion of phi1 in phi1 53.867 * [backup-simplify]: Simplify 0 into 0 53.867 * [backup-simplify]: Simplify 1 into 1 53.867 * [taylor]: Taking taylor expansion of phi2 in phi1 53.867 * [backup-simplify]: Simplify phi2 into phi2 53.867 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.867 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.867 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.867 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.868 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.868 * [backup-simplify]: Simplify (- 0) into 0 53.868 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.868 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 53.868 * [taylor]: Taking taylor expansion of lambda2 in phi1 53.868 * [backup-simplify]: Simplify lambda2 into lambda2 53.868 * [taylor]: Taking taylor expansion of lambda1 in phi1 53.868 * [backup-simplify]: Simplify lambda1 into lambda1 53.868 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.868 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.868 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 53.868 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.868 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.868 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.868 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 53.869 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 53.869 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 53.869 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 53.869 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.869 * [backup-simplify]: Simplify (* 2 0) into 0 53.869 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.869 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.870 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 53.870 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 53.870 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 53.870 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 53.870 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 53.871 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 53.871 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) 53.872 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (pow (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1/3) 53.872 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 53.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda2 53.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda2 53.872 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.872 * [backup-simplify]: Simplify 1/3 into 1/3 53.872 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 53.872 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 53.872 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 53.872 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 53.872 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.872 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.872 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.872 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.872 * [backup-simplify]: Simplify 1/2 into 1/2 53.872 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.873 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.873 * [backup-simplify]: Simplify phi1 into phi1 53.873 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.873 * [backup-simplify]: Simplify phi2 into phi2 53.873 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.873 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.873 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.873 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.873 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.873 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.873 * [backup-simplify]: Simplify (- 0) into 0 53.873 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.873 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 53.873 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.873 * [backup-simplify]: Simplify lambda1 into lambda1 53.873 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.873 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.873 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.873 * [backup-simplify]: Simplify phi2 into phi2 53.873 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.873 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.873 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.873 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.873 * [backup-simplify]: Simplify 0 into 0 53.873 * [backup-simplify]: Simplify 1 into 1 53.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.874 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.874 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.874 * [backup-simplify]: Simplify 1/2 into 1/2 53.874 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.874 * [backup-simplify]: Simplify phi1 into phi1 53.874 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.874 * [backup-simplify]: Simplify phi2 into phi2 53.874 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.874 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.874 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.874 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.874 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.874 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.874 * [backup-simplify]: Simplify (- 0) into 0 53.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.874 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.874 * [backup-simplify]: Simplify phi1 into phi1 53.874 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 53.874 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.874 * [taylor]: Taking taylor expansion of 2 in lambda2 53.874 * [backup-simplify]: Simplify 2 into 2 53.874 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.874 * [backup-simplify]: Simplify phi1 into phi1 53.874 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.874 * [backup-simplify]: Simplify phi2 into phi2 53.874 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 53.874 * [taylor]: Taking taylor expansion of 2 in lambda2 53.874 * [backup-simplify]: Simplify 2 into 2 53.875 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 53.875 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.875 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.875 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.875 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.875 * [backup-simplify]: Simplify 1/2 into 1/2 53.875 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.875 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.875 * [backup-simplify]: Simplify phi1 into phi1 53.875 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.875 * [backup-simplify]: Simplify phi2 into phi2 53.875 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.875 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.875 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.875 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.875 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.875 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.875 * [backup-simplify]: Simplify (- 0) into 0 53.875 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.875 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 53.875 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.875 * [backup-simplify]: Simplify 0 into 0 53.875 * [backup-simplify]: Simplify 1 into 1 53.875 * [taylor]: Taking taylor expansion of lambda1 in lambda2 53.875 * [backup-simplify]: Simplify lambda1 into lambda1 53.875 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.876 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.876 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.876 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.876 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.876 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.876 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.876 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 53.876 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.876 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.876 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.876 * [backup-simplify]: Simplify (* 0 lambda1) into 0 53.876 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.877 * [backup-simplify]: Simplify (* 2 0) into 0 53.877 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 53.877 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.877 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 53.878 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 53.878 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))) 53.878 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1/3) 53.878 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 53.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 53.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 53.878 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.878 * [backup-simplify]: Simplify 1/3 into 1/3 53.878 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 53.878 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 53.878 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 53.878 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 53.878 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.878 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.879 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.879 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.879 * [backup-simplify]: Simplify 1/2 into 1/2 53.879 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.879 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.879 * [backup-simplify]: Simplify phi1 into phi1 53.879 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.879 * [backup-simplify]: Simplify phi2 into phi2 53.879 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.879 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.879 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.879 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.879 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.879 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.879 * [backup-simplify]: Simplify (- 0) into 0 53.879 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.879 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.879 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.879 * [backup-simplify]: Simplify 0 into 0 53.879 * [backup-simplify]: Simplify 1 into 1 53.879 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 53.879 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.879 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.879 * [backup-simplify]: Simplify phi2 into phi2 53.879 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 53.879 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 53.879 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.879 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.879 * [backup-simplify]: Simplify lambda2 into lambda2 53.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.880 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.880 * [backup-simplify]: Simplify 1/2 into 1/2 53.880 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.880 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.880 * [backup-simplify]: Simplify phi1 into phi1 53.880 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.880 * [backup-simplify]: Simplify phi2 into phi2 53.880 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.880 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.880 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.880 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.880 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.880 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.880 * [backup-simplify]: Simplify (- 0) into 0 53.880 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.880 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.880 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.880 * [backup-simplify]: Simplify phi1 into phi1 53.880 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 53.880 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 53.880 * [taylor]: Taking taylor expansion of 2 in lambda1 53.880 * [backup-simplify]: Simplify 2 into 2 53.880 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.880 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.880 * [backup-simplify]: Simplify phi1 into phi1 53.880 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.880 * [backup-simplify]: Simplify phi2 into phi2 53.880 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 53.880 * [taylor]: Taking taylor expansion of 2 in lambda1 53.881 * [backup-simplify]: Simplify 2 into 2 53.881 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 53.881 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.881 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.881 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.881 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.881 * [backup-simplify]: Simplify 1/2 into 1/2 53.881 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.881 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.881 * [backup-simplify]: Simplify phi1 into phi1 53.881 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.881 * [backup-simplify]: Simplify phi2 into phi2 53.881 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.881 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.881 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.881 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.881 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.881 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.881 * [backup-simplify]: Simplify (- 0) into 0 53.881 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.881 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 53.881 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.881 * [backup-simplify]: Simplify lambda2 into lambda2 53.881 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.881 * [backup-simplify]: Simplify 0 into 0 53.881 * [backup-simplify]: Simplify 1 into 1 53.881 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.881 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.882 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.882 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.882 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.882 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 53.882 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.882 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.882 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.883 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.883 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.883 * [backup-simplify]: Simplify (* lambda2 0) into 0 53.883 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.883 * [backup-simplify]: Simplify (* 2 0) into 0 53.883 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 53.883 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.884 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 53.884 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 53.884 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 53.885 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 53.885 * [taylor]: Taking taylor expansion of (pow (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 53.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))))) in lambda1 53.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))) in lambda1 53.885 * [taylor]: Taking taylor expansion of 1/3 in lambda1 53.885 * [backup-simplify]: Simplify 1/3 into 1/3 53.885 * [taylor]: Taking taylor expansion of (log (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 53.885 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 53.885 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 53.885 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 53.885 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.885 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.885 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.885 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.885 * [backup-simplify]: Simplify 1/2 into 1/2 53.885 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.885 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.885 * [backup-simplify]: Simplify phi1 into phi1 53.885 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.885 * [backup-simplify]: Simplify phi2 into phi2 53.885 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.885 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.886 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.886 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.886 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.886 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.886 * [backup-simplify]: Simplify (- 0) into 0 53.886 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.886 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 53.886 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.886 * [backup-simplify]: Simplify 0 into 0 53.887 * [backup-simplify]: Simplify 1 into 1 53.887 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 53.887 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 53.887 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.887 * [backup-simplify]: Simplify phi2 into phi2 53.887 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 53.887 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 53.887 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 53.887 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.887 * [backup-simplify]: Simplify lambda2 into lambda2 53.887 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.887 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.887 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.887 * [backup-simplify]: Simplify 1/2 into 1/2 53.887 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.887 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.887 * [backup-simplify]: Simplify phi1 into phi1 53.887 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.887 * [backup-simplify]: Simplify phi2 into phi2 53.887 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.887 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.887 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.887 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.887 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.887 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.888 * [backup-simplify]: Simplify (- 0) into 0 53.888 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.888 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 53.888 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.888 * [backup-simplify]: Simplify phi1 into phi1 53.888 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 53.888 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 53.888 * [taylor]: Taking taylor expansion of 2 in lambda1 53.888 * [backup-simplify]: Simplify 2 into 2 53.888 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 53.888 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.888 * [backup-simplify]: Simplify phi1 into phi1 53.888 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.888 * [backup-simplify]: Simplify phi2 into phi2 53.888 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 53.888 * [taylor]: Taking taylor expansion of 2 in lambda1 53.888 * [backup-simplify]: Simplify 2 into 2 53.888 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 53.888 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 53.888 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 53.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 53.888 * [taylor]: Taking taylor expansion of 1/2 in lambda1 53.888 * [backup-simplify]: Simplify 1/2 into 1/2 53.889 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 53.889 * [taylor]: Taking taylor expansion of phi1 in lambda1 53.889 * [backup-simplify]: Simplify phi1 into phi1 53.889 * [taylor]: Taking taylor expansion of phi2 in lambda1 53.889 * [backup-simplify]: Simplify phi2 into phi2 53.889 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.889 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.889 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.889 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.889 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.889 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.889 * [backup-simplify]: Simplify (- 0) into 0 53.890 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.890 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 53.890 * [taylor]: Taking taylor expansion of lambda2 in lambda1 53.890 * [backup-simplify]: Simplify lambda2 into lambda2 53.890 * [taylor]: Taking taylor expansion of lambda1 in lambda1 53.890 * [backup-simplify]: Simplify 0 into 0 53.890 * [backup-simplify]: Simplify 1 into 1 53.890 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.890 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.890 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.890 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.890 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.891 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 53.891 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.892 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 53.892 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.892 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.892 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.892 * [backup-simplify]: Simplify (* lambda2 0) into 0 53.893 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.893 * [backup-simplify]: Simplify (* 2 0) into 0 53.893 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 53.893 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.894 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 53.895 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 53.895 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 53.896 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) 53.896 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 53.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 53.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 53.896 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.896 * [backup-simplify]: Simplify 1/3 into 1/3 53.896 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 53.896 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.896 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.896 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.896 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.897 * [backup-simplify]: Simplify phi2 into phi2 53.897 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.897 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.897 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.897 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.897 * [backup-simplify]: Simplify 0 into 0 53.897 * [backup-simplify]: Simplify 1 into 1 53.897 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.897 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.897 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.897 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.897 * [backup-simplify]: Simplify 1/2 into 1/2 53.897 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.897 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.897 * [backup-simplify]: Simplify phi1 into phi1 53.897 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.897 * [backup-simplify]: Simplify phi2 into phi2 53.897 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.897 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.897 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.897 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.897 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.897 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.897 * [backup-simplify]: Simplify (- 0) into 0 53.897 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.898 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.898 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.898 * [backup-simplify]: Simplify phi1 into phi1 53.898 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.898 * [taylor]: Taking taylor expansion of 2 in lambda2 53.898 * [backup-simplify]: Simplify 2 into 2 53.898 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.898 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.898 * [backup-simplify]: Simplify phi1 into phi1 53.898 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.898 * [backup-simplify]: Simplify phi2 into phi2 53.898 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.898 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.898 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.898 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.898 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.898 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.898 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.898 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.898 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 53.898 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.899 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 53.899 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) in phi1 53.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 53.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 53.899 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.899 * [backup-simplify]: Simplify 1/3 into 1/3 53.899 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 53.899 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 53.899 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 53.899 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.899 * [taylor]: Taking taylor expansion of phi2 in phi1 53.899 * [backup-simplify]: Simplify phi2 into phi2 53.899 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.899 * [taylor]: Taking taylor expansion of phi1 in phi1 53.899 * [backup-simplify]: Simplify 0 into 0 53.899 * [backup-simplify]: Simplify 1 into 1 53.899 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 53.899 * [taylor]: Taking taylor expansion of 2 in phi1 53.899 * [backup-simplify]: Simplify 2 into 2 53.899 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.899 * [taylor]: Taking taylor expansion of phi1 in phi1 53.899 * [backup-simplify]: Simplify 0 into 0 53.899 * [backup-simplify]: Simplify 1 into 1 53.899 * [taylor]: Taking taylor expansion of phi2 in phi1 53.899 * [backup-simplify]: Simplify phi2 into phi2 53.899 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.899 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.899 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.899 * [backup-simplify]: Simplify (* 2 0) into 0 53.900 * [backup-simplify]: Simplify (- 0) into 0 53.900 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.900 * [backup-simplify]: Simplify (log (pow phi2 2)) into (log (pow phi2 2)) 53.900 * [backup-simplify]: Simplify (* 1/3 (log (pow phi2 2))) into (* 1/3 (log (pow phi2 2))) 53.900 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow phi2 2)))) into (pow (pow phi2 2) 1/3) 53.900 * [taylor]: Taking taylor expansion of (pow (pow phi2 2) 1/3) in phi2 53.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow phi2 2)))) in phi2 53.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow phi2 2))) in phi2 53.900 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.900 * [backup-simplify]: Simplify 1/3 into 1/3 53.900 * [taylor]: Taking taylor expansion of (log (pow phi2 2)) in phi2 53.900 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.900 * [taylor]: Taking taylor expansion of phi2 in phi2 53.900 * [backup-simplify]: Simplify 0 into 0 53.900 * [backup-simplify]: Simplify 1 into 1 53.900 * [backup-simplify]: Simplify (* 1 1) into 1 53.901 * [backup-simplify]: Simplify (log 1) into 0 53.901 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 53.901 * [backup-simplify]: Simplify (* 1/3 (* 2 (log phi2))) into (* 2/3 (log phi2)) 53.901 * [backup-simplify]: Simplify (exp (* 2/3 (log phi2))) into (pow phi2 2/3) 53.901 * [backup-simplify]: Simplify (pow phi2 2/3) into (pow phi2 2/3) 53.901 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 53.901 * [backup-simplify]: Simplify (+ 0) into 0 53.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 53.902 * [backup-simplify]: Simplify (+ 0 0) into 0 53.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 53.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.903 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 53.903 * [backup-simplify]: Simplify (- 0) into 0 53.904 * [backup-simplify]: Simplify (+ 0 0) into 0 53.904 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 53.904 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 53.904 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 53.904 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 53.904 * [backup-simplify]: Simplify (+ 0 0) into 0 53.904 * [backup-simplify]: Simplify (+ 0 0) into 0 53.905 * [backup-simplify]: Simplify (+ 0 0) into 0 53.905 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 53.905 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 53.905 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 53.905 * [backup-simplify]: Simplify (+ 0) into 0 53.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 53.906 * [backup-simplify]: Simplify (+ 0 0) into 0 53.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 53.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 53.907 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 53.907 * [backup-simplify]: Simplify (- 0) into 0 53.908 * [backup-simplify]: Simplify (+ 0 0) into 0 53.908 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 53.908 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 53.908 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 53.909 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 53.909 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 53.909 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 53.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 1) into (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) 53.911 * [backup-simplify]: Simplify (+ (* 1/3 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 53.912 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 1) 1)))) into (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) 53.912 * [taylor]: Taking taylor expansion of (* -2/3 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3))) in lambda2 53.912 * [taylor]: Taking taylor expansion of -2/3 in lambda2 53.912 * [backup-simplify]: Simplify -2/3 into -2/3 53.912 * [taylor]: Taking taylor expansion of (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3)) in lambda2 53.912 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 53.912 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.912 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.912 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.912 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.912 * [backup-simplify]: Simplify 1/2 into 1/2 53.912 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.912 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.912 * [backup-simplify]: Simplify phi1 into phi1 53.912 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.912 * [backup-simplify]: Simplify phi2 into phi2 53.912 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.912 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.912 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.912 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.912 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.912 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.913 * [backup-simplify]: Simplify (- 0) into 0 53.913 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.913 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.913 * [backup-simplify]: Simplify 0 into 0 53.913 * [backup-simplify]: Simplify 1 into 1 53.913 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) 1/3) in lambda2 53.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 53.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 53.913 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.913 * [backup-simplify]: Simplify 1/3 into 1/3 53.913 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 53.913 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 53.913 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 53.913 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.913 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.913 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.913 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.913 * [backup-simplify]: Simplify phi2 into phi2 53.913 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.913 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.913 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.913 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.913 * [backup-simplify]: Simplify 0 into 0 53.913 * [backup-simplify]: Simplify 1 into 1 53.913 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.913 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.913 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.913 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.913 * [backup-simplify]: Simplify 1/2 into 1/2 53.913 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.913 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.913 * [backup-simplify]: Simplify phi1 into phi1 53.913 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.913 * [backup-simplify]: Simplify phi2 into phi2 53.913 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.913 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.913 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.913 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.913 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.914 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.914 * [backup-simplify]: Simplify (- 0) into 0 53.914 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.914 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.914 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.914 * [backup-simplify]: Simplify phi1 into phi1 53.914 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.914 * [taylor]: Taking taylor expansion of 2 in lambda2 53.914 * [backup-simplify]: Simplify 2 into 2 53.914 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.914 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.914 * [backup-simplify]: Simplify phi1 into phi1 53.914 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.914 * [backup-simplify]: Simplify phi2 into phi2 53.914 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.914 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.914 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.914 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.914 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.914 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.914 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.915 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.915 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 53.915 * [backup-simplify]: Simplify (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 53.915 * [backup-simplify]: Simplify (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) into (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) 53.915 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) into (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) 53.916 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) into (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) 53.916 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.916 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 53.916 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) into 0 53.916 * [backup-simplify]: Simplify (* -2/3 0) into 0 53.917 * [taylor]: Taking taylor expansion of 0 in phi1 53.917 * [backup-simplify]: Simplify 0 into 0 53.917 * [taylor]: Taking taylor expansion of 0 in phi2 53.917 * [backup-simplify]: Simplify 0 into 0 53.917 * [backup-simplify]: Simplify 0 into 0 53.917 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 53.917 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 53.917 * [backup-simplify]: Simplify (+ 0 0) into 0 53.917 * [backup-simplify]: Simplify (+ 0 0) into 0 53.917 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 53.918 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 53.918 * [backup-simplify]: Simplify (- 0) into 0 53.918 * [backup-simplify]: Simplify (+ 0 0) into 0 53.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1)))) 1) into 0 53.919 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 53.920 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.920 * [taylor]: Taking taylor expansion of 0 in phi1 53.920 * [backup-simplify]: Simplify 0 into 0 53.920 * [taylor]: Taking taylor expansion of 0 in phi2 53.920 * [backup-simplify]: Simplify 0 into 0 53.920 * [backup-simplify]: Simplify 0 into 0 53.920 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 53.920 * [backup-simplify]: Simplify (+ 0 0) into 0 53.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 53.921 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 53.921 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 53.921 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 53.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 phi2))) 1)) (pow (pow phi2 2) 1)))) 1) into (/ -2 phi2) 53.921 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 phi2)) (* 0 (log (pow phi2 2)))) into (- (* 2/3 (/ 1 phi2))) 53.921 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow phi2 2)))) (+ (* (/ (pow (- (* 2/3 (/ 1 phi2))) 1) 1)))) into (* -2/3 (pow (/ 1 phi2) 1/3)) 53.922 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ 1 phi2) 1/3)) in phi2 53.922 * [taylor]: Taking taylor expansion of -2/3 in phi2 53.922 * [backup-simplify]: Simplify -2/3 into -2/3 53.922 * [taylor]: Taking taylor expansion of (pow (/ 1 phi2) 1/3) in phi2 53.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 phi2)))) in phi2 53.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 phi2))) in phi2 53.922 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.922 * [backup-simplify]: Simplify 1/3 into 1/3 53.922 * [taylor]: Taking taylor expansion of (log (/ 1 phi2)) in phi2 53.922 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.922 * [taylor]: Taking taylor expansion of phi2 in phi2 53.922 * [backup-simplify]: Simplify 0 into 0 53.922 * [backup-simplify]: Simplify 1 into 1 53.922 * [backup-simplify]: Simplify (/ 1 1) into 1 53.922 * [backup-simplify]: Simplify (log 1) into 0 53.925 * [backup-simplify]: Simplify (+ (* (- 1) (log phi2)) 0) into (- (log phi2)) 53.925 * [backup-simplify]: Simplify (* 1/3 (- (log phi2))) into (* -1/3 (log phi2)) 53.925 * [backup-simplify]: Simplify (exp (* -1/3 (log phi2))) into (pow phi2 -1/3) 53.925 * [backup-simplify]: Simplify (* -2/3 (pow phi2 -1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 53.925 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 phi2) 1/3)) into (* -2/3 (pow (/ 1 phi2) 1/3)) 53.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 53.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 53.927 * [backup-simplify]: Simplify (+ (* (- -2) (log phi2)) 0) into (* 2 (log phi2)) 53.927 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log phi2)))) into 0 53.927 * [backup-simplify]: Simplify (* (exp (* 2/3 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 53.927 * [backup-simplify]: Simplify 0 into 0 53.928 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.928 * [backup-simplify]: Simplify (* 1 1) into 1 53.928 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.928 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 53.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.929 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 53.930 * [backup-simplify]: Simplify (+ 0 0) into 0 53.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 53.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.931 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 53.931 * [backup-simplify]: Simplify (- 0) into 0 53.931 * [backup-simplify]: Simplify (+ 0 0) into 0 53.932 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 53.932 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 53.932 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 53.933 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 53.933 * [backup-simplify]: Simplify (+ 0 0) into 0 53.933 * [backup-simplify]: Simplify (+ 0 0) into 0 53.934 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.934 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 53.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 53.936 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 53.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 53.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 53.938 * [backup-simplify]: Simplify (+ 0 0) into 0 53.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 53.939 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 53.940 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 53.940 * [backup-simplify]: Simplify (- 0) into 0 53.941 * [backup-simplify]: Simplify (+ 0 0) into 0 53.941 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 53.942 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 53.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 53.944 * [backup-simplify]: Simplify (+ 0 0) into 0 53.944 * [backup-simplify]: Simplify (- 0) into 0 53.944 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1)))) 2) into (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 53.951 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))))) (+ (* 0 (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (* 0 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) into (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 53.955 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) 2) 2)) (* (/ (pow (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 2/3 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) 1) 1)))) into (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) 53.956 * [taylor]: Taking taylor expansion of (* (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))))) in lambda2 53.956 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1/3) in lambda2 53.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 53.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 53.956 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.956 * [backup-simplify]: Simplify 1/3 into 1/3 53.956 * [taylor]: Taking taylor expansion of (log (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 53.956 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.956 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.956 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.956 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.956 * [backup-simplify]: Simplify phi2 into phi2 53.956 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.956 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.956 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.956 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.956 * [backup-simplify]: Simplify 0 into 0 53.956 * [backup-simplify]: Simplify 1 into 1 53.956 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.956 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.956 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.956 * [backup-simplify]: Simplify 1/2 into 1/2 53.956 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.956 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.956 * [backup-simplify]: Simplify phi1 into phi1 53.956 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.956 * [backup-simplify]: Simplify phi2 into phi2 53.956 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.957 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.957 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.957 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.957 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.957 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.958 * [backup-simplify]: Simplify (- 0) into 0 53.958 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.958 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.958 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.958 * [backup-simplify]: Simplify phi1 into phi1 53.958 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.958 * [taylor]: Taking taylor expansion of 2 in lambda2 53.958 * [backup-simplify]: Simplify 2 into 2 53.958 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.958 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.958 * [backup-simplify]: Simplify phi1 into phi1 53.958 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.958 * [backup-simplify]: Simplify phi2 into phi2 53.958 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.958 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.958 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.958 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.958 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.958 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.959 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.959 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.959 * [backup-simplify]: Simplify (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 53.959 * [backup-simplify]: Simplify (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.960 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) 53.960 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)))) in lambda2 53.960 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 53.960 * [taylor]: Taking taylor expansion of 1/3 in lambda2 53.960 * [backup-simplify]: Simplify 1/3 into 1/3 53.960 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 53.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.960 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.960 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.960 * [backup-simplify]: Simplify 1/2 into 1/2 53.960 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.960 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.960 * [backup-simplify]: Simplify phi1 into phi1 53.960 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.960 * [backup-simplify]: Simplify phi2 into phi2 53.960 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.960 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.960 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.960 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.961 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.961 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.961 * [backup-simplify]: Simplify (- 0) into 0 53.961 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.961 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.961 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.961 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.961 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.961 * [backup-simplify]: Simplify phi2 into phi2 53.961 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.961 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.961 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.961 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.961 * [backup-simplify]: Simplify 0 into 0 53.962 * [backup-simplify]: Simplify 1 into 1 53.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.962 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.962 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.962 * [backup-simplify]: Simplify 1/2 into 1/2 53.962 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.962 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.962 * [backup-simplify]: Simplify phi1 into phi1 53.962 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.962 * [backup-simplify]: Simplify phi2 into phi2 53.962 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.962 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.962 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.962 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.962 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.962 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.963 * [backup-simplify]: Simplify (- 0) into 0 53.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.963 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.963 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.963 * [backup-simplify]: Simplify phi1 into phi1 53.963 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.963 * [taylor]: Taking taylor expansion of 2 in lambda2 53.963 * [backup-simplify]: Simplify 2 into 2 53.963 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.963 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.963 * [backup-simplify]: Simplify phi1 into phi1 53.963 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.963 * [backup-simplify]: Simplify phi2 into phi2 53.963 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.963 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.963 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.963 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.964 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.964 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.964 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.964 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.964 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.964 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 53.964 * [taylor]: Taking taylor expansion of (* 4/9 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2))) in lambda2 53.964 * [taylor]: Taking taylor expansion of 4/9 in lambda2 53.965 * [backup-simplify]: Simplify 4/9 into 4/9 53.965 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2)) in lambda2 53.965 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 53.965 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.965 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.965 * [backup-simplify]: Simplify 0 into 0 53.965 * [backup-simplify]: Simplify 1 into 1 53.965 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 53.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.965 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.965 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.965 * [backup-simplify]: Simplify 1/2 into 1/2 53.965 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.965 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.965 * [backup-simplify]: Simplify phi1 into phi1 53.965 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.965 * [backup-simplify]: Simplify phi2 into phi2 53.965 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.965 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.965 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.965 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.965 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.966 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.966 * [backup-simplify]: Simplify (- 0) into 0 53.966 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.966 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 2) in lambda2 53.966 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 53.966 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 53.966 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 53.966 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.966 * [backup-simplify]: Simplify phi2 into phi2 53.966 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 53.967 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 53.967 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 53.967 * [taylor]: Taking taylor expansion of lambda2 in lambda2 53.967 * [backup-simplify]: Simplify 0 into 0 53.967 * [backup-simplify]: Simplify 1 into 1 53.967 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 53.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 53.967 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 53.967 * [taylor]: Taking taylor expansion of 1/2 in lambda2 53.967 * [backup-simplify]: Simplify 1/2 into 1/2 53.967 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 53.967 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.967 * [backup-simplify]: Simplify phi1 into phi1 53.967 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.967 * [backup-simplify]: Simplify phi2 into phi2 53.967 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 53.967 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 53.967 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 53.967 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 53.967 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 53.967 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 53.968 * [backup-simplify]: Simplify (- 0) into 0 53.968 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 53.968 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 53.968 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.968 * [backup-simplify]: Simplify phi1 into phi1 53.968 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 53.968 * [taylor]: Taking taylor expansion of 2 in lambda2 53.968 * [backup-simplify]: Simplify 2 into 2 53.968 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 53.968 * [taylor]: Taking taylor expansion of phi1 in lambda2 53.968 * [backup-simplify]: Simplify phi1 into phi1 53.968 * [taylor]: Taking taylor expansion of phi2 in lambda2 53.968 * [backup-simplify]: Simplify phi2 into phi2 53.968 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.968 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.969 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 53.969 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 53.969 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 53.969 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 53.969 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 53.969 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 53.970 * [backup-simplify]: Simplify (* 1 1) into 1 53.970 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 53.970 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 53.970 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 53.971 * [backup-simplify]: Simplify (* (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) 53.971 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 53.971 * [backup-simplify]: Simplify (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.972 * [backup-simplify]: Simplify (+ (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0) into (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 53.973 * [backup-simplify]: Simplify (* (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1/3) (* 1/3 (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) 53.973 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3))) in phi1 53.973 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.973 * [backup-simplify]: Simplify 1/3 into 1/3 53.973 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3)) in phi1 53.973 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 53.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 53.973 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 53.973 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.973 * [backup-simplify]: Simplify 1/2 into 1/2 53.973 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 53.973 * [taylor]: Taking taylor expansion of phi1 in phi1 53.973 * [backup-simplify]: Simplify 0 into 0 53.973 * [backup-simplify]: Simplify 1 into 1 53.973 * [taylor]: Taking taylor expansion of phi2 in phi1 53.973 * [backup-simplify]: Simplify phi2 into phi2 53.973 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 53.973 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 53.973 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 53.973 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 53.973 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 53.974 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 53.974 * [backup-simplify]: Simplify (- 0) into 0 53.974 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 53.974 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) 1/3) in phi1 53.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))))) in phi1 53.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)))) in phi1 53.974 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.974 * [backup-simplify]: Simplify 1/3 into 1/3 53.974 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2))) in phi1 53.974 * [taylor]: Taking taylor expansion of (/ 1 (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2)) in phi1 53.974 * [taylor]: Taking taylor expansion of (pow (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 2) in phi1 53.974 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 53.974 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 53.974 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 53.974 * [taylor]: Taking taylor expansion of phi2 in phi1 53.974 * [backup-simplify]: Simplify phi2 into phi2 53.974 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 53.975 * [taylor]: Taking taylor expansion of phi1 in phi1 53.975 * [backup-simplify]: Simplify 0 into 0 53.975 * [backup-simplify]: Simplify 1 into 1 53.975 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 53.975 * [taylor]: Taking taylor expansion of 2 in phi1 53.975 * [backup-simplify]: Simplify 2 into 2 53.975 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 53.975 * [taylor]: Taking taylor expansion of phi1 in phi1 53.975 * [backup-simplify]: Simplify 0 into 0 53.975 * [backup-simplify]: Simplify 1 into 1 53.975 * [taylor]: Taking taylor expansion of phi2 in phi1 53.975 * [backup-simplify]: Simplify phi2 into phi2 53.975 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 53.975 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.975 * [backup-simplify]: Simplify (* 0 phi2) into 0 53.975 * [backup-simplify]: Simplify (* 2 0) into 0 53.976 * [backup-simplify]: Simplify (- 0) into 0 53.976 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 53.976 * [backup-simplify]: Simplify (* (pow phi2 2) (pow phi2 2)) into (pow phi2 4) 53.976 * [backup-simplify]: Simplify (/ 1 (pow phi2 4)) into (/ 1 (pow phi2 4)) 53.976 * [backup-simplify]: Simplify (log (/ 1 (pow phi2 4))) into (log (/ 1 (pow phi2 4))) 53.976 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow phi2 4)))) into (* 1/3 (log (/ 1 (pow phi2 4)))) 53.976 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow phi2 4))))) into (pow (/ 1 (pow phi2 4)) 1/3) 53.977 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 53.977 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) 53.977 * [backup-simplify]: Simplify (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) into (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) 53.977 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3))) in phi2 53.977 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.977 * [backup-simplify]: Simplify 1/3 into 1/3 53.977 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow (/ 1 (pow phi2 4)) 1/3)) in phi2 53.977 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 53.977 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 53.977 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 53.977 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.977 * [backup-simplify]: Simplify 1/2 into 1/2 53.977 * [taylor]: Taking taylor expansion of phi2 in phi2 53.977 * [backup-simplify]: Simplify 0 into 0 53.977 * [backup-simplify]: Simplify 1 into 1 53.978 * [backup-simplify]: Simplify (* 1/2 0) into 0 53.978 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 53.979 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow phi2 4)) 1/3) in phi2 53.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow phi2 4))))) in phi2 53.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow phi2 4)))) in phi2 53.979 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.979 * [backup-simplify]: Simplify 1/3 into 1/3 53.979 * [taylor]: Taking taylor expansion of (log (/ 1 (pow phi2 4))) in phi2 53.979 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 4)) in phi2 53.979 * [taylor]: Taking taylor expansion of (pow phi2 4) in phi2 53.979 * [taylor]: Taking taylor expansion of phi2 in phi2 53.979 * [backup-simplify]: Simplify 0 into 0 53.979 * [backup-simplify]: Simplify 1 into 1 53.979 * [backup-simplify]: Simplify (* 1 1) into 1 53.980 * [backup-simplify]: Simplify (* 1 1) into 1 53.980 * [backup-simplify]: Simplify (/ 1 1) into 1 53.980 * [backup-simplify]: Simplify (log 1) into 0 53.981 * [backup-simplify]: Simplify (+ (* (- 4) (log phi2)) 0) into (- (* 4 (log phi2))) 53.981 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log phi2)))) into (* -4/3 (log phi2)) 53.981 * [backup-simplify]: Simplify (exp (* -4/3 (log phi2))) into (pow phi2 -4/3) 53.981 * [backup-simplify]: Simplify (* 1 1) into 1 53.981 * [backup-simplify]: Simplify (* 1 (pow phi2 -4/3)) into (pow (/ 1 (pow phi2 4)) 1/3) 53.982 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 53.982 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) 53.983 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow phi2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 phi2) 1/3)) (* 1 (* phi1 (* 1 1)))) (pow phi2 2/3))) into (- (+ (* 1/3 (* (pow lambda1 2) (pow (/ 1 (pow phi2 4)) 1/3))) (pow phi2 2/3)) (* 2/3 (* phi1 (pow (/ 1 phi2) 1/3)))) 53.985 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) (cbrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))))) into (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) 53.986 * [approximate]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 53.986 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi2 53.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi2 53.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi2 53.986 * [taylor]: Taking taylor expansion of 1/3 in phi2 53.986 * [backup-simplify]: Simplify 1/3 into 1/3 53.986 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 53.986 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 53.986 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 53.986 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 53.986 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.986 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.986 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.986 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.986 * [backup-simplify]: Simplify 1/2 into 1/2 53.986 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.986 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.986 * [taylor]: Taking taylor expansion of phi1 in phi2 53.986 * [backup-simplify]: Simplify phi1 into phi1 53.986 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.986 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.986 * [taylor]: Taking taylor expansion of phi2 in phi2 53.986 * [backup-simplify]: Simplify 0 into 0 53.986 * [backup-simplify]: Simplify 1 into 1 53.987 * [backup-simplify]: Simplify (/ 1 1) into 1 53.987 * [backup-simplify]: Simplify (+ 0 1) into 1 53.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.988 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.988 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 53.988 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.988 * [backup-simplify]: Simplify lambda2 into lambda2 53.988 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.988 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 53.989 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 53.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 53.989 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 53.989 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 53.989 * [taylor]: Taking taylor expansion of phi1 in phi2 53.989 * [backup-simplify]: Simplify phi1 into phi1 53.989 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 53.989 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 53.989 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 53.989 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 53.989 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.989 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.989 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.989 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.989 * [backup-simplify]: Simplify 1/2 into 1/2 53.989 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.989 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.989 * [taylor]: Taking taylor expansion of phi1 in phi2 53.989 * [backup-simplify]: Simplify phi1 into phi1 53.989 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.989 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.989 * [taylor]: Taking taylor expansion of phi2 in phi2 53.989 * [backup-simplify]: Simplify 0 into 0 53.989 * [backup-simplify]: Simplify 1 into 1 53.990 * [backup-simplify]: Simplify (/ 1 1) into 1 53.990 * [backup-simplify]: Simplify (+ 0 1) into 1 53.991 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.991 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.991 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 53.991 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.991 * [backup-simplify]: Simplify lambda1 into lambda1 53.991 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.991 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 53.991 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 53.991 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 53.991 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 53.991 * [taylor]: Taking taylor expansion of phi2 in phi2 53.991 * [backup-simplify]: Simplify 0 into 0 53.991 * [backup-simplify]: Simplify 1 into 1 53.992 * [backup-simplify]: Simplify (* 1 1) into 1 53.992 * [backup-simplify]: Simplify (/ 1 1) into 1 53.992 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 53.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 53.992 * [taylor]: Taking taylor expansion of 2 in phi2 53.992 * [backup-simplify]: Simplify 2 into 2 53.992 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 53.992 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 53.992 * [taylor]: Taking taylor expansion of phi1 in phi2 53.992 * [backup-simplify]: Simplify phi1 into phi1 53.992 * [taylor]: Taking taylor expansion of phi2 in phi2 53.992 * [backup-simplify]: Simplify 0 into 0 53.992 * [backup-simplify]: Simplify 1 into 1 53.993 * [backup-simplify]: Simplify (* phi1 0) into 0 53.993 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 53.993 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.993 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 53.993 * [taylor]: Taking taylor expansion of 2 in phi2 53.993 * [backup-simplify]: Simplify 2 into 2 53.993 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 53.993 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 53.993 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 53.993 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 53.993 * [taylor]: Taking taylor expansion of 1/2 in phi2 53.993 * [backup-simplify]: Simplify 1/2 into 1/2 53.993 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 53.993 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 53.993 * [taylor]: Taking taylor expansion of phi1 in phi2 53.993 * [backup-simplify]: Simplify phi1 into phi1 53.993 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 53.993 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 53.993 * [taylor]: Taking taylor expansion of phi2 in phi2 53.994 * [backup-simplify]: Simplify 0 into 0 53.994 * [backup-simplify]: Simplify 1 into 1 53.994 * [backup-simplify]: Simplify (/ 1 1) into 1 53.994 * [backup-simplify]: Simplify (+ 0 1) into 1 53.995 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.995 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 53.995 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 53.995 * [taylor]: Taking taylor expansion of lambda2 in phi2 53.995 * [backup-simplify]: Simplify lambda2 into lambda2 53.995 * [taylor]: Taking taylor expansion of lambda1 in phi2 53.995 * [backup-simplify]: Simplify lambda1 into lambda1 53.995 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 53.995 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 53.996 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 53.996 * [backup-simplify]: Simplify (+ 0 1) into 1 53.996 * [backup-simplify]: Simplify (+ 0 1) into 1 53.997 * [backup-simplify]: Simplify (+ 0 1) into 1 53.997 * [backup-simplify]: Simplify (+ 1 0) into 1 53.998 * [backup-simplify]: Simplify (log 1) into 0 53.998 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 53.998 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 53.998 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 53.998 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in phi1 53.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in phi1 53.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in phi1 53.998 * [taylor]: Taking taylor expansion of 1/3 in phi1 53.998 * [backup-simplify]: Simplify 1/3 into 1/3 53.998 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 53.998 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 53.999 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 53.999 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 53.999 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 53.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 53.999 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 53.999 * [taylor]: Taking taylor expansion of 1/2 in phi1 53.999 * [backup-simplify]: Simplify 1/2 into 1/2 53.999 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 53.999 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 53.999 * [taylor]: Taking taylor expansion of phi1 in phi1 53.999 * [backup-simplify]: Simplify 0 into 0 53.999 * [backup-simplify]: Simplify 1 into 1 53.999 * [backup-simplify]: Simplify (/ 1 1) into 1 53.999 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 53.999 * [taylor]: Taking taylor expansion of phi2 in phi1 53.999 * [backup-simplify]: Simplify phi2 into phi2 53.999 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.000 * [backup-simplify]: Simplify (+ 1 0) into 1 54.000 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.000 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.000 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 54.000 * [taylor]: Taking taylor expansion of lambda2 in phi1 54.000 * [backup-simplify]: Simplify lambda2 into lambda2 54.001 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.001 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.001 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 54.001 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 54.001 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 54.001 * [taylor]: Taking taylor expansion of phi1 in phi1 54.001 * [backup-simplify]: Simplify 0 into 0 54.001 * [backup-simplify]: Simplify 1 into 1 54.002 * [backup-simplify]: Simplify (* 1 1) into 1 54.002 * [backup-simplify]: Simplify (/ 1 1) into 1 54.002 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 54.002 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 54.003 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.003 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.003 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.003 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.003 * [backup-simplify]: Simplify 1/2 into 1/2 54.003 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.003 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.003 * [taylor]: Taking taylor expansion of phi1 in phi1 54.003 * [backup-simplify]: Simplify 0 into 0 54.003 * [backup-simplify]: Simplify 1 into 1 54.003 * [backup-simplify]: Simplify (/ 1 1) into 1 54.003 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.003 * [taylor]: Taking taylor expansion of phi2 in phi1 54.003 * [backup-simplify]: Simplify phi2 into phi2 54.003 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.004 * [backup-simplify]: Simplify (+ 1 0) into 1 54.004 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.004 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.004 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 54.004 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.004 * [backup-simplify]: Simplify lambda1 into lambda1 54.005 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.005 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 54.005 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 54.005 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 54.005 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 54.005 * [taylor]: Taking taylor expansion of phi2 in phi1 54.005 * [backup-simplify]: Simplify phi2 into phi2 54.005 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.005 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.005 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 54.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 54.005 * [taylor]: Taking taylor expansion of 2 in phi1 54.005 * [backup-simplify]: Simplify 2 into 2 54.005 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 54.005 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 54.005 * [taylor]: Taking taylor expansion of phi1 in phi1 54.005 * [backup-simplify]: Simplify 0 into 0 54.006 * [backup-simplify]: Simplify 1 into 1 54.006 * [taylor]: Taking taylor expansion of phi2 in phi1 54.006 * [backup-simplify]: Simplify phi2 into phi2 54.006 * [backup-simplify]: Simplify (* 0 phi2) into 0 54.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 54.006 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.006 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 54.006 * [taylor]: Taking taylor expansion of 2 in phi1 54.006 * [backup-simplify]: Simplify 2 into 2 54.006 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 54.006 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.006 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.006 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.006 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.006 * [backup-simplify]: Simplify 1/2 into 1/2 54.006 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.006 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.006 * [taylor]: Taking taylor expansion of phi1 in phi1 54.006 * [backup-simplify]: Simplify 0 into 0 54.006 * [backup-simplify]: Simplify 1 into 1 54.007 * [backup-simplify]: Simplify (/ 1 1) into 1 54.007 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.007 * [taylor]: Taking taylor expansion of phi2 in phi1 54.007 * [backup-simplify]: Simplify phi2 into phi2 54.007 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.007 * [backup-simplify]: Simplify (+ 1 0) into 1 54.008 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.008 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.008 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 54.008 * [taylor]: Taking taylor expansion of lambda2 in phi1 54.008 * [backup-simplify]: Simplify lambda2 into lambda2 54.008 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.008 * [backup-simplify]: Simplify lambda1 into lambda1 54.008 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.008 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 54.009 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 54.009 * [backup-simplify]: Simplify (+ 1 0) into 1 54.010 * [backup-simplify]: Simplify (+ 0 1) into 1 54.010 * [backup-simplify]: Simplify (+ 1 0) into 1 54.010 * [backup-simplify]: Simplify (log 1) into 0 54.011 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 54.011 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 54.011 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 54.011 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda2 54.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda2 54.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda2 54.011 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.011 * [backup-simplify]: Simplify 1/3 into 1/3 54.011 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 54.011 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 54.011 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 54.011 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 54.011 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.012 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.012 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.012 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.012 * [backup-simplify]: Simplify 1/2 into 1/2 54.012 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.012 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.012 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.012 * [backup-simplify]: Simplify phi1 into phi1 54.012 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.012 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.012 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.012 * [backup-simplify]: Simplify phi2 into phi2 54.012 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.012 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.012 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.012 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.012 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.013 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.013 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.013 * [backup-simplify]: Simplify (- 0) into 0 54.013 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.013 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 54.013 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.013 * [backup-simplify]: Simplify 0 into 0 54.013 * [backup-simplify]: Simplify 1 into 1 54.014 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.014 * [backup-simplify]: Simplify (* 1 1) into 1 54.014 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 54.014 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 54.014 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 54.014 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.014 * [backup-simplify]: Simplify phi1 into phi1 54.014 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.014 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.015 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 54.015 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 54.015 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.015 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.015 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.015 * [backup-simplify]: Simplify 1/2 into 1/2 54.015 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.015 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.015 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.015 * [backup-simplify]: Simplify phi1 into phi1 54.015 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.015 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.015 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.015 * [backup-simplify]: Simplify phi2 into phi2 54.015 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.015 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.015 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.015 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.015 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.016 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.016 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.016 * [backup-simplify]: Simplify (- 0) into 0 54.016 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.016 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 54.016 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.016 * [backup-simplify]: Simplify lambda1 into lambda1 54.017 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.017 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 54.017 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 54.017 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 54.017 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 54.017 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.017 * [backup-simplify]: Simplify phi2 into phi2 54.017 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.017 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.017 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 54.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 54.017 * [taylor]: Taking taylor expansion of 2 in lambda2 54.017 * [backup-simplify]: Simplify 2 into 2 54.018 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 54.018 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 54.018 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.018 * [backup-simplify]: Simplify phi1 into phi1 54.018 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.018 * [backup-simplify]: Simplify phi2 into phi2 54.018 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.018 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 54.018 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 54.018 * [taylor]: Taking taylor expansion of 2 in lambda2 54.018 * [backup-simplify]: Simplify 2 into 2 54.018 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 54.018 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.018 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.018 * [backup-simplify]: Simplify 1/2 into 1/2 54.018 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.018 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.018 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.018 * [backup-simplify]: Simplify phi1 into phi1 54.018 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.018 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.018 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.018 * [backup-simplify]: Simplify phi2 into phi2 54.018 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.018 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.019 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.019 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.019 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.019 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.019 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.020 * [backup-simplify]: Simplify (- 0) into 0 54.020 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.020 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 54.020 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.020 * [backup-simplify]: Simplify 0 into 0 54.020 * [backup-simplify]: Simplify 1 into 1 54.020 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.020 * [backup-simplify]: Simplify lambda1 into lambda1 54.020 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.020 * [backup-simplify]: Simplify (* 0 lambda1) into 0 54.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 54.021 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 54.021 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.021 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.022 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.022 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 54.022 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 54.023 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 54.023 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 54.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 54.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 54.023 * [taylor]: Taking taylor expansion of 1/3 in lambda1 54.023 * [backup-simplify]: Simplify 1/3 into 1/3 54.023 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 54.023 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 54.023 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 54.023 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 54.023 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.023 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.023 * [taylor]: Taking taylor expansion of 1/2 in lambda1 54.023 * [backup-simplify]: Simplify 1/2 into 1/2 54.023 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.023 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.023 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.023 * [backup-simplify]: Simplify phi1 into phi1 54.023 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.023 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.023 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.023 * [backup-simplify]: Simplify phi2 into phi2 54.024 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.024 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.024 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.024 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.024 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.024 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.024 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.025 * [backup-simplify]: Simplify (- 0) into 0 54.025 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.025 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 54.025 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.025 * [backup-simplify]: Simplify lambda2 into lambda2 54.025 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.025 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.025 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 54.025 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 54.025 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 54.025 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.025 * [backup-simplify]: Simplify phi1 into phi1 54.025 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.025 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.025 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 54.025 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 54.025 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.025 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.025 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.025 * [taylor]: Taking taylor expansion of 1/2 in lambda1 54.025 * [backup-simplify]: Simplify 1/2 into 1/2 54.025 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.025 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.026 * [backup-simplify]: Simplify phi1 into phi1 54.026 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.026 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.026 * [backup-simplify]: Simplify phi2 into phi2 54.026 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.026 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.026 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.026 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.026 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.026 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.026 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.026 * [backup-simplify]: Simplify (- 0) into 0 54.026 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.026 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 54.026 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.026 * [backup-simplify]: Simplify 0 into 0 54.027 * [backup-simplify]: Simplify 1 into 1 54.027 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.027 * [backup-simplify]: Simplify (* 1 1) into 1 54.027 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.027 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 54.027 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 54.027 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.027 * [backup-simplify]: Simplify phi2 into phi2 54.027 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.027 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.027 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 54.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 54.027 * [taylor]: Taking taylor expansion of 2 in lambda1 54.027 * [backup-simplify]: Simplify 2 into 2 54.027 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 54.027 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 54.027 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.027 * [backup-simplify]: Simplify phi1 into phi1 54.027 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.027 * [backup-simplify]: Simplify phi2 into phi2 54.027 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.027 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 54.027 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 54.027 * [taylor]: Taking taylor expansion of 2 in lambda1 54.027 * [backup-simplify]: Simplify 2 into 2 54.028 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 54.028 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.028 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.028 * [taylor]: Taking taylor expansion of 1/2 in lambda1 54.028 * [backup-simplify]: Simplify 1/2 into 1/2 54.028 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.028 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.028 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.028 * [backup-simplify]: Simplify phi1 into phi1 54.028 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.028 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.028 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.028 * [backup-simplify]: Simplify phi2 into phi2 54.028 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.028 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.028 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.028 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.028 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.028 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.028 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.028 * [backup-simplify]: Simplify (- 0) into 0 54.029 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.029 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 54.029 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.029 * [backup-simplify]: Simplify lambda2 into lambda2 54.029 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.029 * [backup-simplify]: Simplify 0 into 0 54.029 * [backup-simplify]: Simplify 1 into 1 54.029 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.029 * [backup-simplify]: Simplify (* lambda2 0) into 0 54.029 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 54.029 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 54.029 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.030 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.030 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.030 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.030 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.030 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.030 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.031 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.031 * [taylor]: Taking taylor expansion of (pow (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) 1/3) in lambda1 54.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))))) in lambda1 54.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))) in lambda1 54.031 * [taylor]: Taking taylor expansion of 1/3 in lambda1 54.031 * [backup-simplify]: Simplify 1/3 into 1/3 54.031 * [taylor]: Taking taylor expansion of (log (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 54.031 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 54.031 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 54.031 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 54.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.031 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.031 * [taylor]: Taking taylor expansion of 1/2 in lambda1 54.031 * [backup-simplify]: Simplify 1/2 into 1/2 54.031 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.031 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.031 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.031 * [backup-simplify]: Simplify phi1 into phi1 54.031 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.031 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.031 * [backup-simplify]: Simplify phi2 into phi2 54.031 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.031 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.031 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.031 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.031 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.031 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.032 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.032 * [backup-simplify]: Simplify (- 0) into 0 54.032 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.032 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 54.032 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.032 * [backup-simplify]: Simplify lambda2 into lambda2 54.032 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.032 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.032 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 54.032 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 54.032 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 54.032 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.032 * [backup-simplify]: Simplify phi1 into phi1 54.032 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.032 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.033 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 54.033 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 54.033 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.033 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.033 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.033 * [taylor]: Taking taylor expansion of 1/2 in lambda1 54.033 * [backup-simplify]: Simplify 1/2 into 1/2 54.033 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.033 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.033 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.033 * [backup-simplify]: Simplify phi1 into phi1 54.033 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.033 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.033 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.033 * [backup-simplify]: Simplify phi2 into phi2 54.033 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.033 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.033 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.033 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.033 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.033 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.033 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.034 * [backup-simplify]: Simplify (- 0) into 0 54.034 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.034 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 54.034 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.034 * [backup-simplify]: Simplify 0 into 0 54.034 * [backup-simplify]: Simplify 1 into 1 54.034 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.034 * [backup-simplify]: Simplify (* 1 1) into 1 54.034 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.034 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 54.034 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 54.034 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.034 * [backup-simplify]: Simplify phi2 into phi2 54.034 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.034 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.034 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 54.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 54.034 * [taylor]: Taking taylor expansion of 2 in lambda1 54.034 * [backup-simplify]: Simplify 2 into 2 54.034 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 54.034 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 54.034 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.035 * [backup-simplify]: Simplify phi1 into phi1 54.035 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.035 * [backup-simplify]: Simplify phi2 into phi2 54.035 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.035 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 54.035 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 54.035 * [taylor]: Taking taylor expansion of 2 in lambda1 54.035 * [backup-simplify]: Simplify 2 into 2 54.035 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 54.035 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.035 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.035 * [taylor]: Taking taylor expansion of 1/2 in lambda1 54.035 * [backup-simplify]: Simplify 1/2 into 1/2 54.035 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.035 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.035 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.035 * [backup-simplify]: Simplify phi1 into phi1 54.035 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.035 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.035 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.035 * [backup-simplify]: Simplify phi2 into phi2 54.035 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.035 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.035 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.035 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.035 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.035 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.035 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.036 * [backup-simplify]: Simplify (- 0) into 0 54.036 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.036 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 54.036 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.036 * [backup-simplify]: Simplify lambda2 into lambda2 54.036 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.036 * [backup-simplify]: Simplify 0 into 0 54.036 * [backup-simplify]: Simplify 1 into 1 54.036 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.036 * [backup-simplify]: Simplify (* lambda2 0) into 0 54.036 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 54.036 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 54.037 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.037 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.037 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.037 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.037 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.037 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.038 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.038 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 54.038 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 54.038 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.038 * [backup-simplify]: Simplify 1/3 into 1/3 54.038 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 54.038 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 54.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.038 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.038 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.038 * [backup-simplify]: Simplify 1/2 into 1/2 54.038 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.038 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.038 * [backup-simplify]: Simplify phi1 into phi1 54.038 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.038 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.038 * [backup-simplify]: Simplify phi2 into phi2 54.038 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.038 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.038 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.038 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.038 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.039 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.039 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.039 * [backup-simplify]: Simplify (- 0) into 0 54.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.039 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.039 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.039 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 54.039 * [taylor]: Taking taylor expansion of 2 in lambda2 54.039 * [backup-simplify]: Simplify 2 into 2 54.039 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 54.039 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.039 * [backup-simplify]: Simplify lambda1 into lambda1 54.039 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.039 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.039 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.040 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.040 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.040 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.040 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.040 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.040 * [backup-simplify]: Simplify 1/3 into 1/3 54.040 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.040 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.040 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.040 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.040 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.040 * [backup-simplify]: Simplify 1/2 into 1/2 54.040 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.040 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.040 * [taylor]: Taking taylor expansion of phi1 in phi1 54.040 * [backup-simplify]: Simplify 0 into 0 54.040 * [backup-simplify]: Simplify 1 into 1 54.040 * [backup-simplify]: Simplify (/ 1 1) into 1 54.040 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.040 * [taylor]: Taking taylor expansion of phi2 in phi1 54.041 * [backup-simplify]: Simplify phi2 into phi2 54.041 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.041 * [backup-simplify]: Simplify (+ 1 0) into 1 54.041 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.041 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.041 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.041 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.041 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.042 * [taylor]: Taking taylor expansion of 2 in phi1 54.042 * [backup-simplify]: Simplify 2 into 2 54.042 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.042 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.042 * [backup-simplify]: Simplify lambda1 into lambda1 54.042 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.042 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.042 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.042 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.042 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.042 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 54.042 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 54.042 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.042 * [backup-simplify]: Simplify 1/3 into 1/3 54.042 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 54.042 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 54.042 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.042 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.042 * [taylor]: Taking taylor expansion of 1/2 in phi2 54.042 * [backup-simplify]: Simplify 1/2 into 1/2 54.042 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.042 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.042 * [taylor]: Taking taylor expansion of phi1 in phi2 54.042 * [backup-simplify]: Simplify phi1 into phi1 54.042 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.042 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.042 * [taylor]: Taking taylor expansion of phi2 in phi2 54.042 * [backup-simplify]: Simplify 0 into 0 54.042 * [backup-simplify]: Simplify 1 into 1 54.043 * [backup-simplify]: Simplify (/ 1 1) into 1 54.043 * [backup-simplify]: Simplify (+ 0 1) into 1 54.043 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.043 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.044 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.044 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.044 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 54.044 * [taylor]: Taking taylor expansion of 2 in phi2 54.044 * [backup-simplify]: Simplify 2 into 2 54.044 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 54.044 * [taylor]: Taking taylor expansion of lambda1 in phi2 54.044 * [backup-simplify]: Simplify lambda1 into lambda1 54.044 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.044 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.044 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.044 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.044 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.044 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.044 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.045 * [backup-simplify]: Simplify (+ 0) into 0 54.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.046 * [backup-simplify]: Simplify (+ 0 0) into 0 54.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.047 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.047 * [backup-simplify]: Simplify (- 0) into 0 54.047 * [backup-simplify]: Simplify (+ 0 0) into 0 54.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 54.049 * [backup-simplify]: Simplify (+ 0 0) into 0 54.049 * [backup-simplify]: Simplify (+ 0 0) into 0 54.049 * [backup-simplify]: Simplify (+ 0 0) into 0 54.049 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 54.049 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 54.050 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 54.050 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 54.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 54.053 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.054 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 54.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 54.054 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 54.054 * [taylor]: Taking taylor expansion of -2/3 in lambda2 54.054 * [backup-simplify]: Simplify -2/3 into -2/3 54.054 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 54.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 54.054 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 54.055 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.055 * [backup-simplify]: Simplify 1/3 into 1/3 54.055 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 54.055 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 54.055 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.055 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.055 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.055 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.055 * [backup-simplify]: Simplify 1/2 into 1/2 54.055 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.055 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.055 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.055 * [backup-simplify]: Simplify phi1 into phi1 54.055 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.055 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.055 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.055 * [backup-simplify]: Simplify phi2 into phi2 54.055 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.055 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.055 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.055 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.056 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.056 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.056 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.057 * [backup-simplify]: Simplify (- 0) into 0 54.057 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.057 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.057 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.057 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 54.057 * [taylor]: Taking taylor expansion of 2 in lambda2 54.057 * [backup-simplify]: Simplify 2 into 2 54.057 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 54.057 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.057 * [backup-simplify]: Simplify lambda1 into lambda1 54.057 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.057 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.058 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.058 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.058 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.058 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.059 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.059 * [backup-simplify]: Simplify 0 into 0 54.059 * [backup-simplify]: Simplify 1 into 1 54.059 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.060 * [backup-simplify]: Simplify (+ 0) into 0 54.061 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.061 * [backup-simplify]: Simplify (+ 0 0) into 0 54.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.063 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.064 * [backup-simplify]: Simplify (- 0) into 0 54.064 * [backup-simplify]: Simplify (+ 0 0) into 0 54.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.067 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.067 * [backup-simplify]: Simplify (- 0) into 0 54.067 * [backup-simplify]: Simplify (+ 0 0) into 0 54.068 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.069 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 54.071 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 54.071 * [taylor]: Taking taylor expansion of 0 in phi1 54.071 * [backup-simplify]: Simplify 0 into 0 54.071 * [taylor]: Taking taylor expansion of 0 in phi2 54.071 * [backup-simplify]: Simplify 0 into 0 54.071 * [backup-simplify]: Simplify 0 into 0 54.072 * [backup-simplify]: Simplify (+ 0) into 0 54.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.073 * [backup-simplify]: Simplify (+ 0 0) into 0 54.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.074 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.074 * [backup-simplify]: Simplify (- 0) into 0 54.074 * [backup-simplify]: Simplify (+ 0 0) into 0 54.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.076 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.076 * [backup-simplify]: Simplify (- 0) into 0 54.076 * [backup-simplify]: Simplify (+ 0 0) into 0 54.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.077 * [taylor]: Taking taylor expansion of 0 in phi1 54.078 * [backup-simplify]: Simplify 0 into 0 54.078 * [taylor]: Taking taylor expansion of 0 in phi2 54.078 * [backup-simplify]: Simplify 0 into 0 54.078 * [backup-simplify]: Simplify 0 into 0 54.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.079 * [backup-simplify]: Simplify (- 0) into 0 54.080 * [backup-simplify]: Simplify (+ 0 0) into 0 54.080 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.081 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.081 * [taylor]: Taking taylor expansion of 0 in phi2 54.081 * [backup-simplify]: Simplify 0 into 0 54.081 * [backup-simplify]: Simplify 0 into 0 54.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.082 * [backup-simplify]: Simplify (- 0) into 0 54.083 * [backup-simplify]: Simplify (+ 0 0) into 0 54.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.084 * [backup-simplify]: Simplify 0 into 0 54.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 54.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 54.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 54.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 54.085 * [backup-simplify]: Simplify (+ 0 0) into 0 54.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 54.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 54.087 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 54.087 * [backup-simplify]: Simplify (- 0) into 0 54.087 * [backup-simplify]: Simplify (+ 0 0) into 0 54.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.089 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 54.089 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 54.089 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 54.090 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 54.090 * [backup-simplify]: Simplify (+ 0) into 0 54.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.091 * [backup-simplify]: Simplify (+ 0 0) into 0 54.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.092 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.092 * [backup-simplify]: Simplify (- 0) into 0 54.092 * [backup-simplify]: Simplify (+ 0 0) into 0 54.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.093 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 54.093 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 54.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 54.093 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 54.093 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 54.094 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 54.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 54.095 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.096 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 54.098 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) 54.098 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) in lambda2 54.098 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 54.098 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 54.098 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 54.098 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.098 * [backup-simplify]: Simplify 1/3 into 1/3 54.098 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 54.098 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 54.098 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.098 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.098 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.098 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.098 * [backup-simplify]: Simplify 1/2 into 1/2 54.098 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.098 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.098 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.098 * [backup-simplify]: Simplify phi1 into phi1 54.098 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.098 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.098 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.098 * [backup-simplify]: Simplify phi2 into phi2 54.098 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.098 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.098 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.098 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.098 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.098 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.099 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.099 * [backup-simplify]: Simplify (- 0) into 0 54.099 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.099 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 54.099 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.099 * [backup-simplify]: Simplify phi2 into phi2 54.099 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.099 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.099 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 54.099 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 54.100 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 54.100 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.100 * [backup-simplify]: Simplify 1/3 into 1/3 54.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 54.100 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 54.100 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.100 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.100 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.100 * [backup-simplify]: Simplify 1/2 into 1/2 54.100 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.100 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.100 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.100 * [backup-simplify]: Simplify phi1 into phi1 54.100 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.100 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.100 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.100 * [backup-simplify]: Simplify phi2 into phi2 54.100 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.100 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.100 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.100 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.100 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.100 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.100 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.101 * [backup-simplify]: Simplify (- 0) into 0 54.101 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.101 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 54.101 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.101 * [backup-simplify]: Simplify phi1 into phi1 54.101 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.101 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.101 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 54.102 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 54.102 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 54.102 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 54.102 * [taylor]: Taking taylor expansion of 2/3 in lambda2 54.102 * [backup-simplify]: Simplify 2/3 into 2/3 54.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 54.102 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 54.102 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.102 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.102 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.102 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.102 * [backup-simplify]: Simplify 1/2 into 1/2 54.102 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.102 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.102 * [backup-simplify]: Simplify phi1 into phi1 54.102 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.102 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.102 * [backup-simplify]: Simplify phi2 into phi2 54.102 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.103 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.103 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.103 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.103 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.103 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.103 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.104 * [backup-simplify]: Simplify (- 0) into 0 54.104 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.104 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 54.104 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.104 * [backup-simplify]: Simplify phi1 into phi1 54.104 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.104 * [backup-simplify]: Simplify phi2 into phi2 54.104 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.104 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.105 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 54.105 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 54.105 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 54.105 * [taylor]: Taking taylor expansion of 1/9 in lambda2 54.105 * [backup-simplify]: Simplify 1/9 into 1/9 54.105 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 54.105 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 54.105 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.105 * [backup-simplify]: Simplify 0 into 0 54.105 * [backup-simplify]: Simplify 1 into 1 54.106 * [backup-simplify]: Simplify (* 1 1) into 1 54.106 * [backup-simplify]: Simplify (/ 1 1) into 1 54.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 54.106 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 54.106 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.106 * [backup-simplify]: Simplify 1/3 into 1/3 54.106 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 54.106 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 54.106 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.106 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.106 * [taylor]: Taking taylor expansion of 1/2 in lambda2 54.106 * [backup-simplify]: Simplify 1/2 into 1/2 54.106 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.106 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.107 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.107 * [backup-simplify]: Simplify phi1 into phi1 54.107 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.107 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.107 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.107 * [backup-simplify]: Simplify phi2 into phi2 54.107 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.107 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.107 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.107 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.107 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.107 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.108 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.108 * [backup-simplify]: Simplify (- 0) into 0 54.108 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.108 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.109 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.109 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 54.109 * [taylor]: Taking taylor expansion of 2 in lambda2 54.109 * [backup-simplify]: Simplify 2 into 2 54.109 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 54.109 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.109 * [backup-simplify]: Simplify lambda1 into lambda1 54.109 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.109 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.109 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.109 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.109 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.110 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.110 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 54.111 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 54.111 * [backup-simplify]: Simplify (- 1/9) into -1/9 54.111 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 54.112 * [backup-simplify]: Simplify (+ 0) into 0 54.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.113 * [backup-simplify]: Simplify (+ 0 0) into 0 54.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.115 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.116 * [backup-simplify]: Simplify (- 0) into 0 54.116 * [backup-simplify]: Simplify (+ 0 0) into 0 54.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.118 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.118 * [backup-simplify]: Simplify (- 0) into 0 54.118 * [backup-simplify]: Simplify (+ 0 0) into 0 54.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 54.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 54.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 54.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 54.120 * [backup-simplify]: Simplify (+ 0 0) into 0 54.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 54.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 54.122 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 54.122 * [backup-simplify]: Simplify (- 0) into 0 54.122 * [backup-simplify]: Simplify (+ 0 0) into 0 54.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.125 * [backup-simplify]: Simplify (- 0) into 0 54.126 * [backup-simplify]: Simplify (+ 0 0) into 0 54.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.127 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 54.129 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 54.129 * [backup-simplify]: Simplify (+ 0 0) into 0 54.129 * [backup-simplify]: Simplify (- 0) into 0 54.129 * [backup-simplify]: Simplify (+ 0 0) into 0 54.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.130 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 54.130 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 54.131 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 54.131 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 54.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.132 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 54.133 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 54.133 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 54.133 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 54.135 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* (- (+ (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 54.135 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 54.135 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) in phi1 54.135 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 54.135 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.135 * [backup-simplify]: Simplify 1/3 into 1/3 54.135 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 54.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.135 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.135 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.135 * [backup-simplify]: Simplify 1/3 into 1/3 54.135 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.135 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.135 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.135 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.135 * [backup-simplify]: Simplify 1/2 into 1/2 54.135 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.135 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.135 * [taylor]: Taking taylor expansion of phi1 in phi1 54.135 * [backup-simplify]: Simplify 0 into 0 54.135 * [backup-simplify]: Simplify 1 into 1 54.136 * [backup-simplify]: Simplify (/ 1 1) into 1 54.136 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.136 * [taylor]: Taking taylor expansion of phi2 in phi1 54.136 * [backup-simplify]: Simplify phi2 into phi2 54.136 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.136 * [backup-simplify]: Simplify (+ 1 0) into 1 54.136 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.136 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.137 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.137 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.137 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.137 * [taylor]: Taking taylor expansion of 2 in phi1 54.137 * [backup-simplify]: Simplify 2 into 2 54.137 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.137 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.137 * [backup-simplify]: Simplify lambda1 into lambda1 54.137 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.137 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.137 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.137 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.137 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.137 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.137 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 54.137 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.137 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.137 * [backup-simplify]: Simplify 1/2 into 1/2 54.137 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.138 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.138 * [taylor]: Taking taylor expansion of phi1 in phi1 54.138 * [backup-simplify]: Simplify 0 into 0 54.138 * [backup-simplify]: Simplify 1 into 1 54.138 * [backup-simplify]: Simplify (/ 1 1) into 1 54.138 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.138 * [taylor]: Taking taylor expansion of phi2 in phi1 54.138 * [backup-simplify]: Simplify phi2 into phi2 54.138 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.138 * [backup-simplify]: Simplify (+ 1 0) into 1 54.138 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.139 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.139 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 54.139 * [taylor]: Taking taylor expansion of phi1 in phi1 54.139 * [backup-simplify]: Simplify 0 into 0 54.139 * [backup-simplify]: Simplify 1 into 1 54.139 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.139 * [backup-simplify]: Simplify (* 1 1) into 1 54.139 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.139 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.139 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 54.139 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.139 * [backup-simplify]: Simplify 1/3 into 1/3 54.139 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 54.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.139 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.139 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.140 * [backup-simplify]: Simplify 1/3 into 1/3 54.140 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.140 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.140 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.140 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.140 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.140 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.140 * [backup-simplify]: Simplify 1/2 into 1/2 54.140 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.140 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.140 * [taylor]: Taking taylor expansion of phi1 in phi1 54.140 * [backup-simplify]: Simplify 0 into 0 54.140 * [backup-simplify]: Simplify 1 into 1 54.140 * [backup-simplify]: Simplify (/ 1 1) into 1 54.140 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.140 * [taylor]: Taking taylor expansion of phi2 in phi1 54.140 * [backup-simplify]: Simplify phi2 into phi2 54.140 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.140 * [backup-simplify]: Simplify (+ 1 0) into 1 54.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.141 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.141 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.141 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.141 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.141 * [taylor]: Taking taylor expansion of 2 in phi1 54.141 * [backup-simplify]: Simplify 2 into 2 54.141 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.141 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.141 * [backup-simplify]: Simplify lambda1 into lambda1 54.141 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.141 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.141 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.141 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.141 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.142 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.142 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 54.142 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.142 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.142 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.142 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.142 * [backup-simplify]: Simplify 1/2 into 1/2 54.142 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.142 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.142 * [taylor]: Taking taylor expansion of phi1 in phi1 54.142 * [backup-simplify]: Simplify 0 into 0 54.142 * [backup-simplify]: Simplify 1 into 1 54.142 * [backup-simplify]: Simplify (/ 1 1) into 1 54.142 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.142 * [taylor]: Taking taylor expansion of phi2 in phi1 54.142 * [backup-simplify]: Simplify phi2 into phi2 54.142 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.142 * [backup-simplify]: Simplify (+ 1 0) into 1 54.143 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.143 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.143 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 54.143 * [taylor]: Taking taylor expansion of phi2 in phi1 54.143 * [backup-simplify]: Simplify phi2 into phi2 54.143 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.143 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.143 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 54.143 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 54.143 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 54.143 * [taylor]: Taking taylor expansion of 2/3 in phi1 54.143 * [backup-simplify]: Simplify 2/3 into 2/3 54.144 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 54.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.144 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.144 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.144 * [backup-simplify]: Simplify 1/3 into 1/3 54.144 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.144 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.144 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.144 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.144 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.144 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.144 * [backup-simplify]: Simplify 1/2 into 1/2 54.144 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.144 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.144 * [taylor]: Taking taylor expansion of phi1 in phi1 54.144 * [backup-simplify]: Simplify 0 into 0 54.144 * [backup-simplify]: Simplify 1 into 1 54.144 * [backup-simplify]: Simplify (/ 1 1) into 1 54.144 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.144 * [taylor]: Taking taylor expansion of phi2 in phi1 54.144 * [backup-simplify]: Simplify phi2 into phi2 54.144 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.144 * [backup-simplify]: Simplify (+ 1 0) into 1 54.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.145 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.145 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.145 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.145 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.145 * [taylor]: Taking taylor expansion of 2 in phi1 54.145 * [backup-simplify]: Simplify 2 into 2 54.146 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.146 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.146 * [backup-simplify]: Simplify lambda1 into lambda1 54.146 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.146 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.146 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.146 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.146 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.147 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.147 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 54.147 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.147 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.147 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.147 * [taylor]: Taking taylor expansion of 1/2 in phi1 54.147 * [backup-simplify]: Simplify 1/2 into 1/2 54.147 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.147 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.147 * [taylor]: Taking taylor expansion of phi1 in phi1 54.147 * [backup-simplify]: Simplify 0 into 0 54.147 * [backup-simplify]: Simplify 1 into 1 54.147 * [backup-simplify]: Simplify (/ 1 1) into 1 54.147 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.147 * [taylor]: Taking taylor expansion of phi2 in phi1 54.147 * [backup-simplify]: Simplify phi2 into phi2 54.147 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.148 * [backup-simplify]: Simplify (+ 1 0) into 1 54.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.149 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.149 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 54.149 * [taylor]: Taking taylor expansion of phi1 in phi1 54.149 * [backup-simplify]: Simplify 0 into 0 54.149 * [backup-simplify]: Simplify 1 into 1 54.149 * [taylor]: Taking taylor expansion of phi2 in phi1 54.149 * [backup-simplify]: Simplify phi2 into phi2 54.149 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.149 * [backup-simplify]: Simplify (* 0 phi2) into 0 54.149 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 54.150 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 54.150 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.151 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 54.151 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 54.152 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.155 * [backup-simplify]: Simplify (- 0) into 0 54.155 * [backup-simplify]: Simplify (+ 0 0) into 0 54.156 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.165 * [backup-simplify]: Simplify (- 0) into 0 54.165 * [backup-simplify]: Simplify (+ 0 0) into 0 54.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.169 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.171 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 54.173 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.173 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 54.175 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.176 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.178 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 54.178 * [backup-simplify]: Simplify (+ 0 (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 54.179 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.181 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.181 * [backup-simplify]: Simplify (- 0) into 0 54.182 * [backup-simplify]: Simplify (+ 0 0) into 0 54.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 54.185 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.186 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 54.187 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 54.187 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 54.188 * [backup-simplify]: Simplify (- 0) into 0 54.189 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 54.189 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 54.189 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.189 * [backup-simplify]: Simplify 1/3 into 1/3 54.189 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 54.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 54.189 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 54.189 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.189 * [backup-simplify]: Simplify 1/3 into 1/3 54.189 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 54.189 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 54.189 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.189 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.189 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.189 * [taylor]: Taking taylor expansion of 1/2 in phi2 54.189 * [backup-simplify]: Simplify 1/2 into 1/2 54.189 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.189 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.189 * [taylor]: Taking taylor expansion of phi1 in phi2 54.189 * [backup-simplify]: Simplify phi1 into phi1 54.189 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.189 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.189 * [taylor]: Taking taylor expansion of phi2 in phi2 54.189 * [backup-simplify]: Simplify 0 into 0 54.189 * [backup-simplify]: Simplify 1 into 1 54.190 * [backup-simplify]: Simplify (/ 1 1) into 1 54.190 * [backup-simplify]: Simplify (+ 0 1) into 1 54.191 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.191 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.191 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.191 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.191 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 54.191 * [taylor]: Taking taylor expansion of 2 in phi2 54.191 * [backup-simplify]: Simplify 2 into 2 54.191 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 54.191 * [taylor]: Taking taylor expansion of lambda1 in phi2 54.191 * [backup-simplify]: Simplify lambda1 into lambda1 54.191 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.192 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.192 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.192 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.192 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.192 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.193 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 54.193 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.193 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.193 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.193 * [taylor]: Taking taylor expansion of 1/2 in phi2 54.193 * [backup-simplify]: Simplify 1/2 into 1/2 54.193 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.193 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.193 * [taylor]: Taking taylor expansion of phi1 in phi2 54.193 * [backup-simplify]: Simplify phi1 into phi1 54.193 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.193 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.193 * [taylor]: Taking taylor expansion of phi2 in phi2 54.193 * [backup-simplify]: Simplify 0 into 0 54.193 * [backup-simplify]: Simplify 1 into 1 54.193 * [backup-simplify]: Simplify (/ 1 1) into 1 54.194 * [backup-simplify]: Simplify (+ 0 1) into 1 54.194 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.194 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.194 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 54.195 * [taylor]: Taking taylor expansion of phi2 in phi2 54.195 * [backup-simplify]: Simplify 0 into 0 54.195 * [backup-simplify]: Simplify 1 into 1 54.195 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.195 * [backup-simplify]: Simplify (* 1 1) into 1 54.195 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.196 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.196 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.198 * [backup-simplify]: Simplify (- 0) into 0 54.198 * [backup-simplify]: Simplify (+ 0 0) into 0 54.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.199 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.202 * [backup-simplify]: Simplify (- 0) into 0 54.202 * [backup-simplify]: Simplify (+ 0 0) into 0 54.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.204 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.205 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.206 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 54.206 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.207 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 54.207 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.208 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.209 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.209 * [backup-simplify]: Simplify 0 into 0 54.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 54.210 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 54.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 54.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 54.210 * [backup-simplify]: Simplify (+ 0 0) into 0 54.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 54.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 54.211 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 54.212 * [backup-simplify]: Simplify (- 0) into 0 54.212 * [backup-simplify]: Simplify (+ 0 0) into 0 54.212 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.216 * [backup-simplify]: Simplify (- 0) into 0 54.216 * [backup-simplify]: Simplify (+ 0 0) into 0 54.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.218 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.220 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 54.220 * [taylor]: Taking taylor expansion of 0 in phi1 54.220 * [backup-simplify]: Simplify 0 into 0 54.220 * [taylor]: Taking taylor expansion of 0 in phi2 54.220 * [backup-simplify]: Simplify 0 into 0 54.220 * [backup-simplify]: Simplify 0 into 0 54.221 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 54.222 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) (cbrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))))) into (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) 54.222 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 54.222 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi2 54.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi2 54.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi2 54.223 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.223 * [backup-simplify]: Simplify 1/3 into 1/3 54.223 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 54.223 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 54.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 54.223 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 54.223 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 54.223 * [taylor]: Taking taylor expansion of phi2 in phi2 54.223 * [backup-simplify]: Simplify 0 into 0 54.223 * [backup-simplify]: Simplify 1 into 1 54.223 * [backup-simplify]: Simplify (* 1 1) into 1 54.223 * [backup-simplify]: Simplify (/ 1 1) into 1 54.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 54.223 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 54.223 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 54.223 * [taylor]: Taking taylor expansion of phi1 in phi2 54.224 * [backup-simplify]: Simplify phi1 into phi1 54.224 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.224 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.224 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 54.224 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 54.224 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.224 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.224 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.224 * [taylor]: Taking taylor expansion of -1/2 in phi2 54.224 * [backup-simplify]: Simplify -1/2 into -1/2 54.224 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.224 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.224 * [taylor]: Taking taylor expansion of phi1 in phi2 54.224 * [backup-simplify]: Simplify phi1 into phi1 54.224 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.224 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.224 * [taylor]: Taking taylor expansion of phi2 in phi2 54.224 * [backup-simplify]: Simplify 0 into 0 54.224 * [backup-simplify]: Simplify 1 into 1 54.224 * [backup-simplify]: Simplify (/ 1 1) into 1 54.225 * [backup-simplify]: Simplify (+ 0 1) into 1 54.225 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.225 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.225 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 54.225 * [taylor]: Taking taylor expansion of lambda1 in phi2 54.225 * [backup-simplify]: Simplify lambda1 into lambda1 54.225 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.226 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 54.226 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 54.226 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 54.226 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.226 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.226 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.226 * [taylor]: Taking taylor expansion of -1/2 in phi2 54.226 * [backup-simplify]: Simplify -1/2 into -1/2 54.226 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.226 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.226 * [taylor]: Taking taylor expansion of phi1 in phi2 54.226 * [backup-simplify]: Simplify phi1 into phi1 54.226 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.226 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.226 * [taylor]: Taking taylor expansion of phi2 in phi2 54.226 * [backup-simplify]: Simplify 0 into 0 54.226 * [backup-simplify]: Simplify 1 into 1 54.226 * [backup-simplify]: Simplify (/ 1 1) into 1 54.227 * [backup-simplify]: Simplify (+ 0 1) into 1 54.227 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.227 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.227 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 54.227 * [taylor]: Taking taylor expansion of lambda2 in phi2 54.227 * [backup-simplify]: Simplify lambda2 into lambda2 54.227 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.227 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.228 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.228 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 54.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 54.228 * [taylor]: Taking taylor expansion of 2 in phi2 54.228 * [backup-simplify]: Simplify 2 into 2 54.228 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 54.228 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 54.228 * [taylor]: Taking taylor expansion of phi1 in phi2 54.228 * [backup-simplify]: Simplify phi1 into phi1 54.228 * [taylor]: Taking taylor expansion of phi2 in phi2 54.228 * [backup-simplify]: Simplify 0 into 0 54.228 * [backup-simplify]: Simplify 1 into 1 54.228 * [backup-simplify]: Simplify (* phi1 0) into 0 54.228 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 54.228 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.228 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 54.228 * [taylor]: Taking taylor expansion of 2 in phi2 54.228 * [backup-simplify]: Simplify 2 into 2 54.228 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 54.228 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.228 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.228 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.228 * [taylor]: Taking taylor expansion of -1/2 in phi2 54.228 * [backup-simplify]: Simplify -1/2 into -1/2 54.228 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.228 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.228 * [taylor]: Taking taylor expansion of phi1 in phi2 54.228 * [backup-simplify]: Simplify phi1 into phi1 54.229 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.229 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.229 * [taylor]: Taking taylor expansion of phi2 in phi2 54.229 * [backup-simplify]: Simplify 0 into 0 54.229 * [backup-simplify]: Simplify 1 into 1 54.229 * [backup-simplify]: Simplify (/ 1 1) into 1 54.230 * [backup-simplify]: Simplify (+ 0 1) into 1 54.230 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.231 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.231 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 54.231 * [taylor]: Taking taylor expansion of lambda1 in phi2 54.231 * [backup-simplify]: Simplify lambda1 into lambda1 54.231 * [taylor]: Taking taylor expansion of lambda2 in phi2 54.231 * [backup-simplify]: Simplify lambda2 into lambda2 54.231 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.231 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 54.232 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 54.232 * [backup-simplify]: Simplify (+ 1 0) into 1 54.233 * [backup-simplify]: Simplify (+ 1 0) into 1 54.233 * [backup-simplify]: Simplify (log 1) into 0 54.234 * [backup-simplify]: Simplify (+ (* (- 2) (log phi2)) 0) into (- (* 2 (log phi2))) 54.234 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi2)))) into (* -2/3 (log phi2)) 54.235 * [backup-simplify]: Simplify (exp (* -2/3 (log phi2))) into (pow phi2 -2/3) 54.235 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in phi1 54.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in phi1 54.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in phi1 54.235 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.235 * [backup-simplify]: Simplify 1/3 into 1/3 54.235 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 54.235 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 54.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 54.235 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 54.235 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 54.235 * [taylor]: Taking taylor expansion of phi2 in phi1 54.235 * [backup-simplify]: Simplify phi2 into phi2 54.235 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.235 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 54.235 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 54.235 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 54.236 * [taylor]: Taking taylor expansion of phi1 in phi1 54.236 * [backup-simplify]: Simplify 0 into 0 54.236 * [backup-simplify]: Simplify 1 into 1 54.236 * [backup-simplify]: Simplify (* 1 1) into 1 54.237 * [backup-simplify]: Simplify (/ 1 1) into 1 54.237 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 54.237 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 54.237 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.237 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.237 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.237 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.237 * [backup-simplify]: Simplify -1/2 into -1/2 54.237 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.237 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.237 * [taylor]: Taking taylor expansion of phi1 in phi1 54.237 * [backup-simplify]: Simplify 0 into 0 54.237 * [backup-simplify]: Simplify 1 into 1 54.238 * [backup-simplify]: Simplify (/ 1 1) into 1 54.238 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.238 * [taylor]: Taking taylor expansion of phi2 in phi1 54.238 * [backup-simplify]: Simplify phi2 into phi2 54.238 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.238 * [backup-simplify]: Simplify (+ 1 0) into 1 54.239 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.239 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.239 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 54.239 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.239 * [backup-simplify]: Simplify lambda1 into lambda1 54.240 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.240 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 54.240 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 54.240 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 54.240 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.240 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.240 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.240 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.241 * [backup-simplify]: Simplify -1/2 into -1/2 54.241 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.241 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.241 * [taylor]: Taking taylor expansion of phi1 in phi1 54.241 * [backup-simplify]: Simplify 0 into 0 54.241 * [backup-simplify]: Simplify 1 into 1 54.241 * [backup-simplify]: Simplify (/ 1 1) into 1 54.241 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.241 * [taylor]: Taking taylor expansion of phi2 in phi1 54.241 * [backup-simplify]: Simplify phi2 into phi2 54.241 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.242 * [backup-simplify]: Simplify (+ 1 0) into 1 54.242 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.243 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.243 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 54.243 * [taylor]: Taking taylor expansion of lambda2 in phi1 54.243 * [backup-simplify]: Simplify lambda2 into lambda2 54.243 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.243 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.243 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.243 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 54.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 54.243 * [taylor]: Taking taylor expansion of 2 in phi1 54.243 * [backup-simplify]: Simplify 2 into 2 54.243 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 54.244 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 54.244 * [taylor]: Taking taylor expansion of phi1 in phi1 54.244 * [backup-simplify]: Simplify 0 into 0 54.244 * [backup-simplify]: Simplify 1 into 1 54.244 * [taylor]: Taking taylor expansion of phi2 in phi1 54.244 * [backup-simplify]: Simplify phi2 into phi2 54.244 * [backup-simplify]: Simplify (* 0 phi2) into 0 54.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 54.244 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.244 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 54.244 * [taylor]: Taking taylor expansion of 2 in phi1 54.244 * [backup-simplify]: Simplify 2 into 2 54.244 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 54.244 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.245 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.245 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.245 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.245 * [backup-simplify]: Simplify -1/2 into -1/2 54.245 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.245 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.245 * [taylor]: Taking taylor expansion of phi1 in phi1 54.245 * [backup-simplify]: Simplify 0 into 0 54.245 * [backup-simplify]: Simplify 1 into 1 54.245 * [backup-simplify]: Simplify (/ 1 1) into 1 54.245 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.245 * [taylor]: Taking taylor expansion of phi2 in phi1 54.245 * [backup-simplify]: Simplify phi2 into phi2 54.245 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.246 * [backup-simplify]: Simplify (+ 1 0) into 1 54.246 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.247 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.247 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 54.247 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.247 * [backup-simplify]: Simplify lambda1 into lambda1 54.247 * [taylor]: Taking taylor expansion of lambda2 in phi1 54.247 * [backup-simplify]: Simplify lambda2 into lambda2 54.247 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.247 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 54.247 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 54.248 * [backup-simplify]: Simplify (+ 1 0) into 1 54.248 * [backup-simplify]: Simplify (+ 0 1) into 1 54.249 * [backup-simplify]: Simplify (+ 1 0) into 1 54.249 * [backup-simplify]: Simplify (log 1) into 0 54.249 * [backup-simplify]: Simplify (+ (* (- 2) (log phi1)) 0) into (- (* 2 (log phi1))) 54.250 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log phi1)))) into (* -2/3 (log phi1)) 54.250 * [backup-simplify]: Simplify (exp (* -2/3 (log phi1))) into (pow phi1 -2/3) 54.250 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda2 54.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda2 54.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda2 54.250 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.250 * [backup-simplify]: Simplify 1/3 into 1/3 54.250 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 54.250 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 54.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 54.250 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 54.250 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 54.250 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.250 * [backup-simplify]: Simplify phi2 into phi2 54.250 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.250 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 54.250 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 54.250 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 54.250 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.250 * [backup-simplify]: Simplify phi1 into phi1 54.250 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.251 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.251 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 54.251 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 54.251 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.251 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.251 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.251 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.251 * [backup-simplify]: Simplify -1/2 into -1/2 54.251 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.251 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.251 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.251 * [backup-simplify]: Simplify phi1 into phi1 54.251 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.251 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.251 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.251 * [backup-simplify]: Simplify phi2 into phi2 54.251 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.251 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.251 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.251 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.252 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.252 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.252 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.252 * [backup-simplify]: Simplify (- 0) into 0 54.253 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.253 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 54.253 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.253 * [backup-simplify]: Simplify lambda1 into lambda1 54.253 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.253 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 54.253 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 54.253 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 54.253 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.253 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.253 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.253 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.253 * [backup-simplify]: Simplify -1/2 into -1/2 54.254 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.254 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.254 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.254 * [backup-simplify]: Simplify phi1 into phi1 54.254 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.254 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.254 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.254 * [backup-simplify]: Simplify phi2 into phi2 54.254 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.254 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.254 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.254 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.254 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.254 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.255 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.255 * [backup-simplify]: Simplify (- 0) into 0 54.255 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.255 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 54.255 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.255 * [backup-simplify]: Simplify 0 into 0 54.255 * [backup-simplify]: Simplify 1 into 1 54.256 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.256 * [backup-simplify]: Simplify (* 1 1) into 1 54.256 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.256 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 54.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 54.256 * [taylor]: Taking taylor expansion of 2 in lambda2 54.256 * [backup-simplify]: Simplify 2 into 2 54.256 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 54.256 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 54.256 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.256 * [backup-simplify]: Simplify phi1 into phi1 54.256 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.257 * [backup-simplify]: Simplify phi2 into phi2 54.257 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.257 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 54.257 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 54.257 * [taylor]: Taking taylor expansion of 2 in lambda2 54.257 * [backup-simplify]: Simplify 2 into 2 54.257 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 54.257 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.257 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.257 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.257 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.257 * [backup-simplify]: Simplify -1/2 into -1/2 54.257 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.257 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.257 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.257 * [backup-simplify]: Simplify phi1 into phi1 54.257 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.257 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.257 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.257 * [backup-simplify]: Simplify phi2 into phi2 54.257 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.257 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.257 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.258 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.258 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.258 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.258 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.259 * [backup-simplify]: Simplify (- 0) into 0 54.259 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.259 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 54.259 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.259 * [backup-simplify]: Simplify lambda1 into lambda1 54.259 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.259 * [backup-simplify]: Simplify 0 into 0 54.259 * [backup-simplify]: Simplify 1 into 1 54.259 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.259 * [backup-simplify]: Simplify (* lambda1 0) into 0 54.260 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 54.260 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 54.260 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.261 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.261 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.261 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.262 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.262 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 54.263 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 54.263 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 54.263 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 54.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 54.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 54.263 * [taylor]: Taking taylor expansion of 1/3 in lambda1 54.263 * [backup-simplify]: Simplify 1/3 into 1/3 54.263 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 54.263 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 54.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 54.263 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 54.263 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 54.264 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.264 * [backup-simplify]: Simplify phi2 into phi2 54.264 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.264 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 54.264 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 54.264 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 54.264 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.264 * [backup-simplify]: Simplify phi1 into phi1 54.264 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.264 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.264 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 54.264 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 54.264 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.264 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.264 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.264 * [taylor]: Taking taylor expansion of -1/2 in lambda1 54.264 * [backup-simplify]: Simplify -1/2 into -1/2 54.264 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.264 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.264 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.264 * [backup-simplify]: Simplify phi1 into phi1 54.264 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.264 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.264 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.265 * [backup-simplify]: Simplify phi2 into phi2 54.265 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.265 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.265 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.265 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.265 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.265 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.266 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.266 * [backup-simplify]: Simplify (- 0) into 0 54.266 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.266 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 54.266 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.266 * [backup-simplify]: Simplify 0 into 0 54.266 * [backup-simplify]: Simplify 1 into 1 54.267 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.267 * [backup-simplify]: Simplify (* 1 1) into 1 54.267 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.267 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 54.267 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.267 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.267 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.267 * [taylor]: Taking taylor expansion of -1/2 in lambda1 54.267 * [backup-simplify]: Simplify -1/2 into -1/2 54.267 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.267 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.267 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.268 * [backup-simplify]: Simplify phi1 into phi1 54.268 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.268 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.268 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.268 * [backup-simplify]: Simplify phi2 into phi2 54.268 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.268 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.268 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.268 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.268 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.268 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.269 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.269 * [backup-simplify]: Simplify (- 0) into 0 54.269 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.269 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 54.269 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.269 * [backup-simplify]: Simplify lambda2 into lambda2 54.269 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.270 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.270 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.270 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 54.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 54.270 * [taylor]: Taking taylor expansion of 2 in lambda1 54.270 * [backup-simplify]: Simplify 2 into 2 54.270 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 54.270 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 54.270 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.270 * [backup-simplify]: Simplify phi1 into phi1 54.270 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.270 * [backup-simplify]: Simplify phi2 into phi2 54.270 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.270 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 54.270 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 54.270 * [taylor]: Taking taylor expansion of 2 in lambda1 54.270 * [backup-simplify]: Simplify 2 into 2 54.270 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 54.270 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.270 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.270 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.270 * [taylor]: Taking taylor expansion of -1/2 in lambda1 54.270 * [backup-simplify]: Simplify -1/2 into -1/2 54.270 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.270 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.270 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.270 * [backup-simplify]: Simplify phi1 into phi1 54.271 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.271 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.271 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.271 * [backup-simplify]: Simplify phi2 into phi2 54.271 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.271 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.271 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.271 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.271 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.271 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.271 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.272 * [backup-simplify]: Simplify (- 0) into 0 54.272 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.272 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 54.272 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.272 * [backup-simplify]: Simplify 0 into 0 54.272 * [backup-simplify]: Simplify 1 into 1 54.272 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.272 * [backup-simplify]: Simplify lambda2 into lambda2 54.272 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.272 * [backup-simplify]: Simplify (* 0 lambda2) into 0 54.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 54.273 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 54.273 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.274 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.274 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.274 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.274 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.275 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.275 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.276 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.276 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) 1/3) in lambda1 54.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))))) in lambda1 54.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))) in lambda1 54.276 * [taylor]: Taking taylor expansion of 1/3 in lambda1 54.276 * [backup-simplify]: Simplify 1/3 into 1/3 54.276 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 54.276 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 54.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 54.276 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 54.276 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 54.276 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.276 * [backup-simplify]: Simplify phi2 into phi2 54.276 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.276 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 54.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 54.276 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 54.276 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 54.276 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.276 * [backup-simplify]: Simplify phi1 into phi1 54.276 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.277 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 54.277 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 54.277 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 54.277 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.277 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.277 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.277 * [taylor]: Taking taylor expansion of -1/2 in lambda1 54.277 * [backup-simplify]: Simplify -1/2 into -1/2 54.277 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.277 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.277 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.277 * [backup-simplify]: Simplify phi1 into phi1 54.277 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.277 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.277 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.277 * [backup-simplify]: Simplify phi2 into phi2 54.277 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.277 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.277 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.277 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.277 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.278 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.278 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.278 * [backup-simplify]: Simplify (- 0) into 0 54.278 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.278 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 54.278 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.278 * [backup-simplify]: Simplify 0 into 0 54.278 * [backup-simplify]: Simplify 1 into 1 54.279 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.279 * [backup-simplify]: Simplify (* 1 1) into 1 54.279 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.279 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 54.279 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.279 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.280 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.280 * [taylor]: Taking taylor expansion of -1/2 in lambda1 54.280 * [backup-simplify]: Simplify -1/2 into -1/2 54.280 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.280 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.280 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.280 * [backup-simplify]: Simplify phi1 into phi1 54.280 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.280 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.280 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.280 * [backup-simplify]: Simplify phi2 into phi2 54.280 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.280 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.280 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.280 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.280 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.281 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.281 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.281 * [backup-simplify]: Simplify (- 0) into 0 54.281 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.281 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 54.281 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.281 * [backup-simplify]: Simplify lambda2 into lambda2 54.281 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.281 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 54.281 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.281 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 54.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 54.281 * [taylor]: Taking taylor expansion of 2 in lambda1 54.281 * [backup-simplify]: Simplify 2 into 2 54.281 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 54.282 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 54.282 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.282 * [backup-simplify]: Simplify phi1 into phi1 54.282 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.282 * [backup-simplify]: Simplify phi2 into phi2 54.282 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.282 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 54.282 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 54.282 * [taylor]: Taking taylor expansion of 2 in lambda1 54.282 * [backup-simplify]: Simplify 2 into 2 54.282 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 54.282 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 54.282 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 54.282 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 54.282 * [taylor]: Taking taylor expansion of -1/2 in lambda1 54.282 * [backup-simplify]: Simplify -1/2 into -1/2 54.282 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 54.282 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 54.282 * [taylor]: Taking taylor expansion of phi1 in lambda1 54.282 * [backup-simplify]: Simplify phi1 into phi1 54.282 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.282 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 54.282 * [taylor]: Taking taylor expansion of phi2 in lambda1 54.282 * [backup-simplify]: Simplify phi2 into phi2 54.282 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.282 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.282 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.282 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.282 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.282 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.282 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.283 * [backup-simplify]: Simplify (- 0) into 0 54.283 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.283 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 54.283 * [taylor]: Taking taylor expansion of lambda1 in lambda1 54.283 * [backup-simplify]: Simplify 0 into 0 54.283 * [backup-simplify]: Simplify 1 into 1 54.283 * [taylor]: Taking taylor expansion of lambda2 in lambda1 54.283 * [backup-simplify]: Simplify lambda2 into lambda2 54.283 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.283 * [backup-simplify]: Simplify (* 0 lambda2) into 0 54.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 54.283 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 54.284 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.284 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.284 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.284 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.284 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.284 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.285 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.285 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 54.285 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 54.285 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.285 * [backup-simplify]: Simplify 1/3 into 1/3 54.285 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 54.285 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 54.285 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.285 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.285 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.285 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.285 * [backup-simplify]: Simplify -1/2 into -1/2 54.285 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.285 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.285 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.285 * [backup-simplify]: Simplify phi1 into phi1 54.285 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.285 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.285 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.285 * [backup-simplify]: Simplify phi2 into phi2 54.285 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.285 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.285 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.285 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.285 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.286 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.286 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.286 * [backup-simplify]: Simplify (- 0) into 0 54.286 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.286 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.286 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.286 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 54.286 * [taylor]: Taking taylor expansion of 2 in lambda2 54.286 * [backup-simplify]: Simplify 2 into 2 54.286 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 54.286 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.286 * [backup-simplify]: Simplify lambda1 into lambda1 54.286 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.286 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.287 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.287 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.287 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.287 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.287 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.287 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.287 * [backup-simplify]: Simplify 1/3 into 1/3 54.287 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.287 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.287 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.287 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.287 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.287 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.287 * [backup-simplify]: Simplify -1/2 into -1/2 54.287 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.287 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.287 * [taylor]: Taking taylor expansion of phi1 in phi1 54.287 * [backup-simplify]: Simplify 0 into 0 54.287 * [backup-simplify]: Simplify 1 into 1 54.287 * [backup-simplify]: Simplify (/ 1 1) into 1 54.287 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.288 * [taylor]: Taking taylor expansion of phi2 in phi1 54.288 * [backup-simplify]: Simplify phi2 into phi2 54.288 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.288 * [backup-simplify]: Simplify (+ 1 0) into 1 54.288 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.288 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.288 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.288 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.288 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.289 * [taylor]: Taking taylor expansion of 2 in phi1 54.289 * [backup-simplify]: Simplify 2 into 2 54.289 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.289 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.289 * [backup-simplify]: Simplify lambda1 into lambda1 54.289 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.289 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.289 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.289 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.289 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.289 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 54.289 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 54.289 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.289 * [backup-simplify]: Simplify 1/3 into 1/3 54.289 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 54.289 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 54.289 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.289 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.289 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.289 * [taylor]: Taking taylor expansion of -1/2 in phi2 54.289 * [backup-simplify]: Simplify -1/2 into -1/2 54.289 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.289 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.289 * [taylor]: Taking taylor expansion of phi1 in phi2 54.289 * [backup-simplify]: Simplify phi1 into phi1 54.289 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.289 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.289 * [taylor]: Taking taylor expansion of phi2 in phi2 54.289 * [backup-simplify]: Simplify 0 into 0 54.289 * [backup-simplify]: Simplify 1 into 1 54.292 * [backup-simplify]: Simplify (/ 1 1) into 1 54.292 * [backup-simplify]: Simplify (+ 0 1) into 1 54.293 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.293 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.293 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.293 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.293 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 54.293 * [taylor]: Taking taylor expansion of 2 in phi2 54.293 * [backup-simplify]: Simplify 2 into 2 54.293 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 54.293 * [taylor]: Taking taylor expansion of lambda1 in phi2 54.293 * [backup-simplify]: Simplify lambda1 into lambda1 54.293 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.293 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.293 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.293 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.294 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.294 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.294 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.294 * [backup-simplify]: Simplify (+ 0) into 0 54.295 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.295 * [backup-simplify]: Simplify (+ 0 0) into 0 54.295 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.296 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.296 * [backup-simplify]: Simplify (- 0) into 0 54.297 * [backup-simplify]: Simplify (+ 0 0) into 0 54.297 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 54.299 * [backup-simplify]: Simplify (+ 0 0) into 0 54.300 * [backup-simplify]: Simplify (+ 0 0) into 0 54.300 * [backup-simplify]: Simplify (+ 0 0) into 0 54.300 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 54.301 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 54.301 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 54.302 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 54.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 54.303 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.304 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 54.304 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 54.304 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 54.304 * [taylor]: Taking taylor expansion of -2/3 in lambda2 54.304 * [backup-simplify]: Simplify -2/3 into -2/3 54.304 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 54.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 54.304 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 54.304 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.304 * [backup-simplify]: Simplify 1/3 into 1/3 54.304 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 54.304 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 54.304 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.305 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.305 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.305 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.305 * [backup-simplify]: Simplify -1/2 into -1/2 54.305 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.305 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.305 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.305 * [backup-simplify]: Simplify phi1 into phi1 54.305 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.305 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.305 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.305 * [backup-simplify]: Simplify phi2 into phi2 54.305 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.305 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.305 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.305 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.305 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.306 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.306 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.306 * [backup-simplify]: Simplify (- 0) into 0 54.306 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.307 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.307 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.307 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 54.307 * [taylor]: Taking taylor expansion of 2 in lambda2 54.307 * [backup-simplify]: Simplify 2 into 2 54.307 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 54.307 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.307 * [backup-simplify]: Simplify lambda1 into lambda1 54.307 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.307 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.307 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.308 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.308 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.308 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.308 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.308 * [backup-simplify]: Simplify 0 into 0 54.308 * [backup-simplify]: Simplify 1 into 1 54.308 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.309 * [backup-simplify]: Simplify (+ 0) into 0 54.310 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.310 * [backup-simplify]: Simplify (+ 0 0) into 0 54.311 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.312 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.312 * [backup-simplify]: Simplify (- 0) into 0 54.313 * [backup-simplify]: Simplify (+ 0 0) into 0 54.313 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.315 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.316 * [backup-simplify]: Simplify (- 0) into 0 54.316 * [backup-simplify]: Simplify (+ 0 0) into 0 54.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 54.320 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 54.320 * [taylor]: Taking taylor expansion of 0 in phi1 54.320 * [backup-simplify]: Simplify 0 into 0 54.320 * [taylor]: Taking taylor expansion of 0 in phi2 54.320 * [backup-simplify]: Simplify 0 into 0 54.320 * [backup-simplify]: Simplify 0 into 0 54.320 * [backup-simplify]: Simplify (+ 0) into 0 54.321 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.322 * [backup-simplify]: Simplify (+ 0 0) into 0 54.322 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.324 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.324 * [backup-simplify]: Simplify (- 0) into 0 54.324 * [backup-simplify]: Simplify (+ 0 0) into 0 54.325 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.326 * [backup-simplify]: Simplify (- 0) into 0 54.326 * [backup-simplify]: Simplify (+ 0 0) into 0 54.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.327 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.327 * [taylor]: Taking taylor expansion of 0 in phi1 54.327 * [backup-simplify]: Simplify 0 into 0 54.327 * [taylor]: Taking taylor expansion of 0 in phi2 54.327 * [backup-simplify]: Simplify 0 into 0 54.328 * [backup-simplify]: Simplify 0 into 0 54.328 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.329 * [backup-simplify]: Simplify (- 0) into 0 54.330 * [backup-simplify]: Simplify (+ 0 0) into 0 54.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.331 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.331 * [taylor]: Taking taylor expansion of 0 in phi2 54.331 * [backup-simplify]: Simplify 0 into 0 54.331 * [backup-simplify]: Simplify 0 into 0 54.331 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.332 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.332 * [backup-simplify]: Simplify (- 0) into 0 54.333 * [backup-simplify]: Simplify (+ 0 0) into 0 54.333 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.334 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.334 * [backup-simplify]: Simplify 0 into 0 54.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 54.335 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 54.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 54.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 54.335 * [backup-simplify]: Simplify (+ 0 0) into 0 54.336 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 54.336 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 54.337 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 54.337 * [backup-simplify]: Simplify (- 0) into 0 54.337 * [backup-simplify]: Simplify (+ 0 0) into 0 54.337 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.339 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 54.339 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 54.340 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 54.340 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 54.340 * [backup-simplify]: Simplify (+ 0) into 0 54.340 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.341 * [backup-simplify]: Simplify (+ 0 0) into 0 54.341 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.342 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.342 * [backup-simplify]: Simplify (- 0) into 0 54.342 * [backup-simplify]: Simplify (+ 0 0) into 0 54.342 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 54.343 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 54.344 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 54.344 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 54.344 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 54.344 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 54.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2))))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2)))))) 54.346 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.347 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 2 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 4 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 2 (/ 1 (pow lambda2 2))))))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 54.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/3 (/ 1 (pow lambda2 2))))) 1) 1)))) into (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) 54.348 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))))) in lambda2 54.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 54.348 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 54.348 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.348 * [backup-simplify]: Simplify 1/3 into 1/3 54.348 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 54.348 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 54.348 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.348 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.348 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.348 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.348 * [backup-simplify]: Simplify -1/2 into -1/2 54.348 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.348 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.348 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.348 * [backup-simplify]: Simplify phi1 into phi1 54.348 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.348 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.349 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.349 * [backup-simplify]: Simplify phi2 into phi2 54.349 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.349 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.349 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.349 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.349 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.349 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.349 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.350 * [backup-simplify]: Simplify (- 0) into 0 54.350 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.350 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.350 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.350 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 54.350 * [taylor]: Taking taylor expansion of 2 in lambda2 54.350 * [backup-simplify]: Simplify 2 into 2 54.351 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 54.351 * [taylor]: Taking taylor expansion of lambda1 in lambda2 54.351 * [backup-simplify]: Simplify lambda1 into lambda1 54.351 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.351 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.351 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.351 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.351 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.352 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.352 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2))))) in lambda2 54.352 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in lambda2 54.352 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in lambda2 54.352 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.352 * [backup-simplify]: Simplify 1/3 into 1/3 54.352 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in lambda2 54.352 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in lambda2 54.352 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.352 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.352 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.352 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.352 * [backup-simplify]: Simplify -1/2 into -1/2 54.352 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.352 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.352 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.352 * [backup-simplify]: Simplify phi1 into phi1 54.352 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.352 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.352 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.352 * [backup-simplify]: Simplify phi2 into phi2 54.352 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.352 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.352 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.353 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.353 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.353 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.353 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.353 * [backup-simplify]: Simplify (- 0) into 0 54.354 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.354 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 54.354 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.354 * [backup-simplify]: Simplify phi2 into phi2 54.354 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.354 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.354 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 54.355 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 54.355 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in lambda2 54.355 * [taylor]: Taking taylor expansion of 1/3 in lambda2 54.355 * [backup-simplify]: Simplify 1/3 into 1/3 54.355 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in lambda2 54.355 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in lambda2 54.355 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.355 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.355 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.355 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.355 * [backup-simplify]: Simplify -1/2 into -1/2 54.355 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.355 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.355 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.355 * [backup-simplify]: Simplify phi1 into phi1 54.355 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.355 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.355 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.355 * [backup-simplify]: Simplify phi2 into phi2 54.355 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.355 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.355 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.355 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.356 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.356 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.356 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.356 * [backup-simplify]: Simplify (- 0) into 0 54.356 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.356 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 54.356 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.357 * [backup-simplify]: Simplify phi1 into phi1 54.357 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.357 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 54.357 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) 54.357 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 54.357 * [taylor]: Taking taylor expansion of (+ (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) (* 1/9 (/ 1 (pow lambda2 2)))) in lambda2 54.357 * [taylor]: Taking taylor expansion of (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in lambda2 54.357 * [taylor]: Taking taylor expansion of 2/3 in lambda2 54.357 * [backup-simplify]: Simplify 2/3 into 2/3 54.357 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in lambda2 54.357 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in lambda2 54.358 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 54.358 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 54.358 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 54.358 * [taylor]: Taking taylor expansion of -1/2 in lambda2 54.358 * [backup-simplify]: Simplify -1/2 into -1/2 54.358 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 54.358 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 54.358 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.358 * [backup-simplify]: Simplify phi1 into phi1 54.358 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.358 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 54.358 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.358 * [backup-simplify]: Simplify phi2 into phi2 54.358 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.358 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 54.358 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 54.358 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.358 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.359 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.359 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 54.359 * [backup-simplify]: Simplify (- 0) into 0 54.359 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.359 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 54.359 * [taylor]: Taking taylor expansion of phi1 in lambda2 54.359 * [backup-simplify]: Simplify phi1 into phi1 54.359 * [taylor]: Taking taylor expansion of phi2 in lambda2 54.359 * [backup-simplify]: Simplify phi2 into phi2 54.360 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.360 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 54.360 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) 54.360 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) into (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 54.360 * [taylor]: Taking taylor expansion of (* 1/9 (/ 1 (pow lambda2 2))) in lambda2 54.360 * [taylor]: Taking taylor expansion of 1/9 in lambda2 54.361 * [backup-simplify]: Simplify 1/9 into 1/9 54.361 * [taylor]: Taking taylor expansion of (/ 1 (pow lambda2 2)) in lambda2 54.361 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 54.361 * [taylor]: Taking taylor expansion of lambda2 in lambda2 54.361 * [backup-simplify]: Simplify 0 into 0 54.361 * [backup-simplify]: Simplify 1 into 1 54.361 * [backup-simplify]: Simplify (* 1 1) into 1 54.362 * [backup-simplify]: Simplify (/ 1 1) into 1 54.362 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 54.362 * [backup-simplify]: Simplify (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) 54.363 * [backup-simplify]: Simplify (+ (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) (/ 1/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) into (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) 54.363 * [backup-simplify]: Simplify (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) into (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 54.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 54.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.368 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 1))) into 0 54.369 * [backup-simplify]: Simplify (+ (/ 2/3 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) 0) into (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) 54.369 * [backup-simplify]: Simplify (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) into (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 54.370 * [backup-simplify]: Simplify (+ (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (- (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) into (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 54.371 * [backup-simplify]: Simplify (+ 0) into 0 54.371 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 54.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 54.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 54.372 * [backup-simplify]: Simplify (+ 0 0) into 0 54.372 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 54.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 54.374 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 54.374 * [backup-simplify]: Simplify (- 0) into 0 54.374 * [backup-simplify]: Simplify (+ 0 0) into 0 54.375 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.377 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.377 * [backup-simplify]: Simplify (- 0) into 0 54.377 * [backup-simplify]: Simplify (+ 0 0) into 0 54.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.378 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.379 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 1)) into 0 54.379 * [backup-simplify]: Simplify (+ 0 0) into 0 54.379 * [backup-simplify]: Simplify (- 0) into 0 54.379 * [backup-simplify]: Simplify (+ 0 0) into 0 54.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 54.380 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 54.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 54.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 54.381 * [backup-simplify]: Simplify (+ 0 0) into 0 54.381 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 54.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 54.382 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 54.383 * [backup-simplify]: Simplify (- 0) into 0 54.383 * [backup-simplify]: Simplify (+ 0 0) into 0 54.383 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.386 * [backup-simplify]: Simplify (- 0) into 0 54.386 * [backup-simplify]: Simplify (+ 0 0) into 0 54.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.388 * [backup-simplify]: Simplify (* 1/9 1) into 1/9 54.388 * [backup-simplify]: Simplify (+ 0 1/9) into 1/9 54.389 * [backup-simplify]: Simplify (- 1/9) into -1/9 54.389 * [backup-simplify]: Simplify (+ 0 -1/9) into -1/9 54.390 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (- (+ (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ 1 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))))) (+ (* 0 0) (* 0 -1/9))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) 54.390 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))))) in phi1 54.390 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))))) in phi1 54.390 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi1 54.390 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.390 * [backup-simplify]: Simplify 1/3 into 1/3 54.390 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi1 54.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.390 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.390 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.390 * [backup-simplify]: Simplify 1/3 into 1/3 54.390 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.390 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.390 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.390 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.390 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.391 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.391 * [backup-simplify]: Simplify -1/2 into -1/2 54.391 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.391 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.391 * [taylor]: Taking taylor expansion of phi1 in phi1 54.391 * [backup-simplify]: Simplify 0 into 0 54.391 * [backup-simplify]: Simplify 1 into 1 54.391 * [backup-simplify]: Simplify (/ 1 1) into 1 54.391 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.391 * [taylor]: Taking taylor expansion of phi2 in phi1 54.391 * [backup-simplify]: Simplify phi2 into phi2 54.391 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.391 * [backup-simplify]: Simplify (+ 1 0) into 1 54.391 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.392 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.392 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.392 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.392 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.392 * [taylor]: Taking taylor expansion of 2 in phi1 54.392 * [backup-simplify]: Simplify 2 into 2 54.392 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.392 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.392 * [backup-simplify]: Simplify lambda1 into lambda1 54.392 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.392 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.392 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.392 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.392 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.392 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.393 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi1 54.393 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.393 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.393 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.393 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.393 * [backup-simplify]: Simplify -1/2 into -1/2 54.393 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.393 * [taylor]: Taking taylor expansion of phi1 in phi1 54.393 * [backup-simplify]: Simplify 0 into 0 54.393 * [backup-simplify]: Simplify 1 into 1 54.393 * [backup-simplify]: Simplify (/ 1 1) into 1 54.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.393 * [taylor]: Taking taylor expansion of phi2 in phi1 54.393 * [backup-simplify]: Simplify phi2 into phi2 54.393 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.393 * [backup-simplify]: Simplify (+ 1 0) into 1 54.394 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.394 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.394 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 54.394 * [taylor]: Taking taylor expansion of phi2 in phi1 54.394 * [backup-simplify]: Simplify phi2 into phi2 54.394 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.394 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 54.394 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) 54.394 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) 54.394 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)))) in phi1 54.394 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.394 * [backup-simplify]: Simplify 1/3 into 1/3 54.394 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2))) in phi1 54.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.394 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.394 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.394 * [backup-simplify]: Simplify 1/3 into 1/3 54.394 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.395 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.395 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.395 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.395 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.395 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.395 * [backup-simplify]: Simplify -1/2 into -1/2 54.395 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.395 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.395 * [taylor]: Taking taylor expansion of phi1 in phi1 54.395 * [backup-simplify]: Simplify 0 into 0 54.395 * [backup-simplify]: Simplify 1 into 1 54.395 * [backup-simplify]: Simplify (/ 1 1) into 1 54.395 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.395 * [taylor]: Taking taylor expansion of phi2 in phi1 54.395 * [backup-simplify]: Simplify phi2 into phi2 54.395 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.395 * [backup-simplify]: Simplify (+ 1 0) into 1 54.396 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.396 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.396 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.396 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.396 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.396 * [taylor]: Taking taylor expansion of 2 in phi1 54.396 * [backup-simplify]: Simplify 2 into 2 54.396 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.396 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.396 * [backup-simplify]: Simplify lambda1 into lambda1 54.396 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.396 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.396 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.396 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.397 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.397 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.397 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi1 2)) in phi1 54.397 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.397 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.397 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.397 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.397 * [backup-simplify]: Simplify -1/2 into -1/2 54.397 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.397 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.397 * [taylor]: Taking taylor expansion of phi1 in phi1 54.397 * [backup-simplify]: Simplify 0 into 0 54.397 * [backup-simplify]: Simplify 1 into 1 54.397 * [backup-simplify]: Simplify (/ 1 1) into 1 54.397 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.397 * [taylor]: Taking taylor expansion of phi2 in phi1 54.397 * [backup-simplify]: Simplify phi2 into phi2 54.397 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.398 * [backup-simplify]: Simplify (+ 1 0) into 1 54.398 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.398 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.398 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 54.398 * [taylor]: Taking taylor expansion of phi1 in phi1 54.398 * [backup-simplify]: Simplify 0 into 0 54.398 * [backup-simplify]: Simplify 1 into 1 54.398 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.401 * [backup-simplify]: Simplify (* 1 1) into 1 54.401 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.401 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.401 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)))) in phi1 54.401 * [taylor]: Taking taylor expansion of 2/3 in phi1 54.401 * [backup-simplify]: Simplify 2/3 into 2/3 54.402 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2))) in phi1 54.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 54.402 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 54.402 * [taylor]: Taking taylor expansion of 1/3 in phi1 54.402 * [backup-simplify]: Simplify 1/3 into 1/3 54.402 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 54.402 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 54.402 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.402 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.402 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.402 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.402 * [backup-simplify]: Simplify -1/2 into -1/2 54.402 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.402 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.402 * [taylor]: Taking taylor expansion of phi1 in phi1 54.402 * [backup-simplify]: Simplify 0 into 0 54.402 * [backup-simplify]: Simplify 1 into 1 54.402 * [backup-simplify]: Simplify (/ 1 1) into 1 54.402 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.402 * [taylor]: Taking taylor expansion of phi2 in phi1 54.402 * [backup-simplify]: Simplify phi2 into phi2 54.402 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.403 * [backup-simplify]: Simplify (+ 1 0) into 1 54.403 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.403 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.403 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.403 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.403 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 54.403 * [taylor]: Taking taylor expansion of 2 in phi1 54.403 * [backup-simplify]: Simplify 2 into 2 54.403 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 54.404 * [taylor]: Taking taylor expansion of lambda1 in phi1 54.404 * [backup-simplify]: Simplify lambda1 into lambda1 54.404 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.404 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.404 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.404 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.404 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.404 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.404 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* phi1 phi2)) in phi1 54.404 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 54.404 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 54.404 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 54.404 * [taylor]: Taking taylor expansion of -1/2 in phi1 54.404 * [backup-simplify]: Simplify -1/2 into -1/2 54.404 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 54.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 54.404 * [taylor]: Taking taylor expansion of phi1 in phi1 54.404 * [backup-simplify]: Simplify 0 into 0 54.404 * [backup-simplify]: Simplify 1 into 1 54.405 * [backup-simplify]: Simplify (/ 1 1) into 1 54.405 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 54.405 * [taylor]: Taking taylor expansion of phi2 in phi1 54.405 * [backup-simplify]: Simplify phi2 into phi2 54.405 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 54.405 * [backup-simplify]: Simplify (+ 1 0) into 1 54.406 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.406 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.406 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 54.406 * [taylor]: Taking taylor expansion of phi1 in phi1 54.406 * [backup-simplify]: Simplify 0 into 0 54.406 * [backup-simplify]: Simplify 1 into 1 54.406 * [taylor]: Taking taylor expansion of phi2 in phi1 54.406 * [backup-simplify]: Simplify phi2 into phi2 54.406 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.406 * [backup-simplify]: Simplify (* 0 phi2) into 0 54.406 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into 0 54.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 54.407 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.408 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) (* 0 0)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2) 54.408 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) 54.409 * [backup-simplify]: Simplify (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 54.409 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.411 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.412 * [backup-simplify]: Simplify (- 0) into 0 54.412 * [backup-simplify]: Simplify (+ 0 0) into 0 54.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.413 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.418 * [backup-simplify]: Simplify (- 0) into 0 54.418 * [backup-simplify]: Simplify (+ 0 0) into 0 54.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.422 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.424 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.425 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 54.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.426 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 54.427 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.428 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.430 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 54.430 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.433 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.433 * [backup-simplify]: Simplify (- 0) into 0 54.433 * [backup-simplify]: Simplify (+ 0 0) into 0 54.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 54.437 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.437 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 phi2) (* 0 0))) into 0 54.438 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)) (/ 0 (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2))))) into 0 54.439 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) phi2)))) into 0 54.440 * [backup-simplify]: Simplify (- 0) into 0 54.440 * [backup-simplify]: Simplify (+ (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 0) into (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) 54.440 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)))) in phi2 54.440 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.440 * [backup-simplify]: Simplify 1/3 into 1/3 54.440 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2))) in phi2 54.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 54.441 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 54.441 * [taylor]: Taking taylor expansion of 1/3 in phi2 54.441 * [backup-simplify]: Simplify 1/3 into 1/3 54.441 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 54.441 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 54.441 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.441 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.441 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.441 * [taylor]: Taking taylor expansion of -1/2 in phi2 54.441 * [backup-simplify]: Simplify -1/2 into -1/2 54.441 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.441 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.441 * [taylor]: Taking taylor expansion of phi1 in phi2 54.441 * [backup-simplify]: Simplify phi1 into phi1 54.441 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.441 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.441 * [taylor]: Taking taylor expansion of phi2 in phi2 54.441 * [backup-simplify]: Simplify 0 into 0 54.441 * [backup-simplify]: Simplify 1 into 1 54.441 * [backup-simplify]: Simplify (/ 1 1) into 1 54.442 * [backup-simplify]: Simplify (+ 0 1) into 1 54.442 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.442 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.443 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.443 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.443 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 54.443 * [taylor]: Taking taylor expansion of 2 in phi2 54.443 * [backup-simplify]: Simplify 2 into 2 54.443 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 54.443 * [taylor]: Taking taylor expansion of lambda1 in phi2 54.443 * [backup-simplify]: Simplify lambda1 into lambda1 54.443 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 54.443 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 54.443 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 54.444 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 54.444 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 54.444 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 54.444 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow phi2 2)) in phi2 54.444 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 54.444 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 54.444 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 54.444 * [taylor]: Taking taylor expansion of -1/2 in phi2 54.444 * [backup-simplify]: Simplify -1/2 into -1/2 54.444 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 54.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 54.444 * [taylor]: Taking taylor expansion of phi1 in phi2 54.444 * [backup-simplify]: Simplify phi1 into phi1 54.444 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 54.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 54.445 * [taylor]: Taking taylor expansion of phi2 in phi2 54.445 * [backup-simplify]: Simplify 0 into 0 54.445 * [backup-simplify]: Simplify 1 into 1 54.445 * [backup-simplify]: Simplify (/ 1 1) into 1 54.446 * [backup-simplify]: Simplify (+ 0 1) into 1 54.446 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 54.446 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 54.446 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 54.446 * [taylor]: Taking taylor expansion of phi2 in phi2 54.446 * [backup-simplify]: Simplify 0 into 0 54.447 * [backup-simplify]: Simplify 1 into 1 54.447 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.447 * [backup-simplify]: Simplify (* 1 1) into 1 54.447 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 54.448 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 54.448 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 54.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 54.450 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 54.451 * [backup-simplify]: Simplify (- 0) into 0 54.451 * [backup-simplify]: Simplify (+ 0 0) into 0 54.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 54.452 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.455 * [backup-simplify]: Simplify (- 0) into 0 54.456 * [backup-simplify]: Simplify (+ 0 0) into 0 54.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.457 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 54.458 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 54.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 54.459 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.459 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 54.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.460 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) (* 0 1)) into 0 54.461 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.461 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (+ (* (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) (* 0 (/ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))))) into 0 54.462 * [backup-simplify]: Simplify 0 into 0 54.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 54.463 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 54.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 54.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 54.463 * [backup-simplify]: Simplify (+ 0 0) into 0 54.464 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 54.465 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 54.465 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 54.465 * [backup-simplify]: Simplify (- 0) into 0 54.465 * [backup-simplify]: Simplify (+ 0 0) into 0 54.466 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 54.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 54.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 54.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 54.469 * [backup-simplify]: Simplify (- 0) into 0 54.469 * [backup-simplify]: Simplify (+ 0 0) into 0 54.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 54.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.472 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 54.472 * [taylor]: Taking taylor expansion of 0 in phi1 54.472 * [backup-simplify]: Simplify 0 into 0 54.472 * [taylor]: Taking taylor expansion of 0 in phi2 54.472 * [backup-simplify]: Simplify 0 into 0 54.472 * [backup-simplify]: Simplify 0 into 0 54.473 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 54.473 * * * [progress]: simplifying candidates 54.473 * * * * [progress]: [ 1 / 4754 ] simplifiying candidate # 54.473 * * * * [progress]: [ 2 / 4754 ] simplifiying candidate # 54.473 * * * * [progress]: [ 3 / 4754 ] simplifiying candidate # 54.473 * * * * [progress]: [ 4 / 4754 ] simplifiying candidate # 54.473 * * * * [progress]: [ 5 / 4754 ] simplifiying candidate # 54.473 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 54.474 * * [simplify]: iters left: 6 (17 enodes) 54.478 * * [simplify]: iters left: 5 (65 enodes) 54.495 * * [simplify]: iters left: 4 (114 enodes) 54.550 * * [simplify]: iters left: 3 (315 enodes) 54.726 * * [simplify]: Extracting #0: cost 1 inf + 0 54.726 * * [simplify]: Extracting #1: cost 3 inf + 0 54.726 * * [simplify]: Extracting #2: cost 5 inf + 0 54.726 * * [simplify]: Extracting #3: cost 7 inf + 0 54.726 * * [simplify]: Extracting #4: cost 23 inf + 0 54.727 * * [simplify]: Extracting #5: cost 145 inf + 0 54.728 * * [simplify]: Extracting #6: cost 203 inf + 85 54.733 * * [simplify]: Extracting #7: cost 204 inf + 2288 54.738 * * [simplify]: Extracting #8: cost 147 inf + 12694 54.757 * * [simplify]: Extracting #9: cost 23 inf + 51092 54.782 * * [simplify]: Extracting #10: cost 0 inf + 57898 54.807 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 54.807 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (cbrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))))) 54.808 * * * * [progress]: [ 6 / 4754 ] simplifiying candidate # 54.808 * [simplify]: Simplifying (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 54.808 * * [simplify]: iters left: 6 (16 enodes) 54.816 * * [simplify]: iters left: 5 (62 enodes) 54.835 * * [simplify]: iters left: 4 (111 enodes) 54.886 * * [simplify]: iters left: 3 (312 enodes) 55.045 * * [simplify]: Extracting #0: cost 1 inf + 0 55.045 * * [simplify]: Extracting #1: cost 3 inf + 0 55.045 * * [simplify]: Extracting #2: cost 5 inf + 0 55.045 * * [simplify]: Extracting #3: cost 21 inf + 0 55.045 * * [simplify]: Extracting #4: cost 139 inf + 0 55.046 * * [simplify]: Extracting #5: cost 199 inf + 44 55.047 * * [simplify]: Extracting #6: cost 199 inf + 1968 55.050 * * [simplify]: Extracting #7: cost 131 inf + 14187 55.062 * * [simplify]: Extracting #8: cost 26 inf + 45766 55.075 * * [simplify]: Extracting #9: cost 0 inf + 55975 55.091 * [simplify]: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 55.091 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))))) 55.091 * * * * [progress]: [ 7 / 4754 ] simplifiying candidate # 55.092 * [simplify]: Simplifying (cbrt 1) 55.092 * * [simplify]: iters left: 1 (2 enodes) 55.095 * * [simplify]: Extracting #0: cost 1 inf + 0 55.095 * * [simplify]: Extracting #1: cost 0 inf + 1 55.095 * [simplify]: Simplified to 1 55.095 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* 1 (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) 55.095 * * * * [progress]: [ 8 / 4754 ] simplifiying candidate # 55.096 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 55.096 * * [simplify]: iters left: 6 (34 enodes) 55.114 * * [simplify]: iters left: 5 (173 enodes) 55.170 * * [simplify]: Extracting #0: cost 1 inf + 0 55.170 * * [simplify]: Extracting #1: cost 3 inf + 0 55.170 * * [simplify]: Extracting #2: cost 6 inf + 0 55.170 * * [simplify]: Extracting #3: cost 60 inf + 0 55.171 * * [simplify]: Extracting #4: cost 168 inf + 0 55.172 * * [simplify]: Extracting #5: cost 241 inf + 0 55.175 * * [simplify]: Extracting #6: cost 200 inf + 15564 55.192 * * [simplify]: Extracting #7: cost 63 inf + 60484 55.215 * * [simplify]: Extracting #8: cost 7 inf + 73587 55.240 * * [simplify]: Extracting #9: cost 0 inf + 76861 55.265 * * [simplify]: Extracting #10: cost 0 inf + 76541 55.288 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 55.288 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 55.288 * * * * [progress]: [ 9 / 4754 ] simplifiying candidate # 55.289 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 55.289 * * [simplify]: iters left: 6 (35 enodes) 55.301 * * [simplify]: iters left: 5 (178 enodes) 55.372 * * [simplify]: Extracting #0: cost 1 inf + 0 55.372 * * [simplify]: Extracting #1: cost 3 inf + 0 55.372 * * [simplify]: Extracting #2: cost 6 inf + 0 55.372 * * [simplify]: Extracting #3: cost 58 inf + 0 55.373 * * [simplify]: Extracting #4: cost 172 inf + 0 55.374 * * [simplify]: Extracting #5: cost 235 inf + 85 55.377 * * [simplify]: Extracting #6: cost 191 inf + 15306 55.391 * * [simplify]: Extracting #7: cost 74 inf + 52611 55.414 * * [simplify]: Extracting #8: cost 8 inf + 66818 55.440 * * [simplify]: Extracting #9: cost 0 inf + 71375 55.462 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 55.462 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 55.463 * * * * [progress]: [ 10 / 4754 ] simplifiying candidate # 55.464 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 55.464 * * [simplify]: iters left: 6 (35 enodes) 55.482 * * [simplify]: iters left: 5 (178 enodes) 55.539 * * [simplify]: Extracting #0: cost 1 inf + 0 55.539 * * [simplify]: Extracting #1: cost 3 inf + 0 55.539 * * [simplify]: Extracting #2: cost 6 inf + 0 55.539 * * [simplify]: Extracting #3: cost 60 inf + 0 55.539 * * [simplify]: Extracting #4: cost 170 inf + 0 55.540 * * [simplify]: Extracting #5: cost 230 inf + 166 55.542 * * [simplify]: Extracting #6: cost 178 inf + 14825 55.561 * * [simplify]: Extracting #7: cost 44 inf + 55372 55.575 * * [simplify]: Extracting #8: cost 5 inf + 67005 55.587 * * [simplify]: Extracting #9: cost 0 inf + 69007 55.609 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 55.610 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 55.610 * * * * [progress]: [ 11 / 4754 ] simplifiying candidate # 55.610 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 55.611 * * [simplify]: iters left: 6 (29 enodes) 55.619 * * [simplify]: iters left: 5 (146 enodes) 55.665 * * [simplify]: iters left: 4 (476 enodes) 56.060 * * [simplify]: Extracting #0: cost 1 inf + 0 56.060 * * [simplify]: Extracting #1: cost 3 inf + 0 56.060 * * [simplify]: Extracting #2: cost 20 inf + 0 56.060 * * [simplify]: Extracting #3: cost 282 inf + 0 56.062 * * [simplify]: Extracting #4: cost 726 inf + 742 56.068 * * [simplify]: Extracting #5: cost 770 inf + 17733 56.087 * * [simplify]: Extracting #6: cost 517 inf + 82722 56.118 * * [simplify]: Extracting #7: cost 303 inf + 151104 56.187 * * [simplify]: Extracting #8: cost 65 inf + 252227 56.261 * * [simplify]: Extracting #9: cost 1 inf + 285417 56.365 * * [simplify]: Extracting #10: cost 0 inf + 285842 56.487 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) 56.487 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 56.488 * * * * [progress]: [ 12 / 4754 ] simplifiying candidate # 56.489 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 56.489 * * [simplify]: iters left: 6 (34 enodes) 56.508 * * [simplify]: iters left: 5 (170 enodes) 56.569 * * [simplify]: Extracting #0: cost 1 inf + 0 56.569 * * [simplify]: Extracting #1: cost 3 inf + 0 56.569 * * [simplify]: Extracting #2: cost 10 inf + 0 56.569 * * [simplify]: Extracting #3: cost 78 inf + 0 56.569 * * [simplify]: Extracting #4: cost 160 inf + 42 56.570 * * [simplify]: Extracting #5: cost 207 inf + 207 56.571 * * [simplify]: Extracting #6: cost 166 inf + 14735 56.582 * * [simplify]: Extracting #7: cost 33 inf + 63766 56.593 * * [simplify]: Extracting #8: cost 1 inf + 64140 56.604 * * [simplify]: Extracting #9: cost 0 inf + 64192 56.616 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 56.616 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 56.617 * * * * [progress]: [ 13 / 4754 ] simplifiying candidate # 56.617 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 56.617 * * [simplify]: iters left: 6 (29 enodes) 56.625 * * [simplify]: iters left: 5 (142 enodes) 56.657 * * [simplify]: iters left: 4 (432 enodes) 56.914 * * [simplify]: Extracting #0: cost 1 inf + 0 56.914 * * [simplify]: Extracting #1: cost 3 inf + 0 56.914 * * [simplify]: Extracting #2: cost 15 inf + 0 56.914 * * [simplify]: Extracting #3: cost 195 inf + 0 56.916 * * [simplify]: Extracting #4: cost 515 inf + 87 56.921 * * [simplify]: Extracting #5: cost 632 inf + 21089 56.967 * * [simplify]: Extracting #6: cost 283 inf + 117143 57.025 * * [simplify]: Extracting #7: cost 209 inf + 136236 57.100 * * [simplify]: Extracting #8: cost 81 inf + 191013 57.192 * * [simplify]: Extracting #9: cost 4 inf + 230272 57.258 * * [simplify]: Extracting #10: cost 1 inf + 232627 57.354 * * [simplify]: Extracting #11: cost 0 inf + 233532 57.424 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 57.424 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))))) 57.425 * * * * [progress]: [ 14 / 4754 ] simplifiying candidate # 57.426 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 57.426 * * [simplify]: iters left: 6 (34 enodes) 57.439 * * [simplify]: iters left: 5 (170 enodes) 57.497 * * [simplify]: Extracting #0: cost 1 inf + 0 57.498 * * [simplify]: Extracting #1: cost 3 inf + 0 57.498 * * [simplify]: Extracting #2: cost 10 inf + 0 57.498 * * [simplify]: Extracting #3: cost 78 inf + 0 57.499 * * [simplify]: Extracting #4: cost 160 inf + 42 57.500 * * [simplify]: Extracting #5: cost 207 inf + 207 57.503 * * [simplify]: Extracting #6: cost 166 inf + 14947 57.512 * * [simplify]: Extracting #7: cost 31 inf + 64800 57.524 * * [simplify]: Extracting #8: cost 1 inf + 64700 57.536 * * [simplify]: Extracting #9: cost 0 inf + 64832 57.548 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 57.548 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 57.549 * * * * [progress]: [ 15 / 4754 ] simplifiying candidate # 57.549 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 57.549 * * [simplify]: iters left: 6 (29 enodes) 57.557 * * [simplify]: iters left: 5 (142 enodes) 57.602 * * [simplify]: iters left: 4 (432 enodes) 57.833 * * [simplify]: Extracting #0: cost 1 inf + 0 57.833 * * [simplify]: Extracting #1: cost 3 inf + 0 57.833 * * [simplify]: Extracting #2: cost 15 inf + 0 57.834 * * [simplify]: Extracting #3: cost 197 inf + 0 57.837 * * [simplify]: Extracting #4: cost 523 inf + 128 57.842 * * [simplify]: Extracting #5: cost 683 inf + 5697 57.857 * * [simplify]: Extracting #6: cost 530 inf + 35960 57.895 * * [simplify]: Extracting #7: cost 270 inf + 116504 57.969 * * [simplify]: Extracting #8: cost 54 inf + 209065 58.047 * * [simplify]: Extracting #9: cost 2 inf + 234384 58.112 * * [simplify]: Extracting #10: cost 0 inf + 236034 58.176 * * [simplify]: Extracting #11: cost 0 inf + 235994 58.240 * [simplify]: Simplified to (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 58.240 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))))) 58.241 * * * * [progress]: [ 16 / 4754 ] simplifiying candidate # 58.242 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 58.242 * * [simplify]: iters left: 6 (37 enodes) 58.258 * * [simplify]: iters left: 5 (182 enodes) 58.300 * * [simplify]: Extracting #0: cost 1 inf + 0 58.300 * * [simplify]: Extracting #1: cost 3 inf + 0 58.300 * * [simplify]: Extracting #2: cost 6 inf + 0 58.300 * * [simplify]: Extracting #3: cost 56 inf + 0 58.300 * * [simplify]: Extracting #4: cost 166 inf + 0 58.301 * * [simplify]: Extracting #5: cost 231 inf + 44 58.302 * * [simplify]: Extracting #6: cost 190 inf + 12089 58.309 * * [simplify]: Extracting #7: cost 64 inf + 47883 58.322 * * [simplify]: Extracting #8: cost 2 inf + 73741 58.335 * * [simplify]: Extracting #9: cost 0 inf + 74698 58.359 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 58.359 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 58.360 * * * * [progress]: [ 17 / 4754 ] simplifiying candidate # 58.360 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 58.360 * * [simplify]: iters left: 6 (38 enodes) 58.380 * * [simplify]: iters left: 5 (191 enodes) 58.434 * * [simplify]: Extracting #0: cost 1 inf + 0 58.434 * * [simplify]: Extracting #1: cost 3 inf + 0 58.434 * * [simplify]: Extracting #2: cost 6 inf + 0 58.434 * * [simplify]: Extracting #3: cost 60 inf + 0 58.435 * * [simplify]: Extracting #4: cost 189 inf + 0 58.436 * * [simplify]: Extracting #5: cost 232 inf + 1029 58.442 * * [simplify]: Extracting #6: cost 133 inf + 17447 58.457 * * [simplify]: Extracting #7: cost 53 inf + 47217 58.470 * * [simplify]: Extracting #8: cost 5 inf + 69656 58.482 * * [simplify]: Extracting #9: cost 1 inf + 71730 58.505 * * [simplify]: Extracting #10: cost 0 inf + 72995 58.530 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 58.530 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 58.531 * * * * [progress]: [ 18 / 4754 ] simplifiying candidate # 58.531 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 58.532 * * [simplify]: iters left: 6 (38 enodes) 58.553 * * [simplify]: iters left: 5 (191 enodes) 58.633 * * [simplify]: Extracting #0: cost 1 inf + 0 58.633 * * [simplify]: Extracting #1: cost 3 inf + 0 58.633 * * [simplify]: Extracting #2: cost 6 inf + 0 58.633 * * [simplify]: Extracting #3: cost 62 inf + 0 58.633 * * [simplify]: Extracting #4: cost 187 inf + 0 58.634 * * [simplify]: Extracting #5: cost 226 inf + 1393 58.637 * * [simplify]: Extracting #6: cost 142 inf + 13891 58.643 * * [simplify]: Extracting #7: cost 72 inf + 39771 58.661 * * [simplify]: Extracting #8: cost 6 inf + 67983 58.683 * * [simplify]: Extracting #9: cost 0 inf + 70467 58.695 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 58.696 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 58.696 * * * * [progress]: [ 19 / 4754 ] simplifiying candidate # 58.696 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 58.696 * * [simplify]: iters left: 6 (32 enodes) 58.705 * * [simplify]: iters left: 5 (155 enodes) 58.757 * * [simplify]: iters left: 4 (464 enodes) 59.033 * * [simplify]: Extracting #0: cost 1 inf + 0 59.033 * * [simplify]: Extracting #1: cost 3 inf + 0 59.033 * * [simplify]: Extracting #2: cost 20 inf + 0 59.034 * * [simplify]: Extracting #3: cost 271 inf + 0 59.036 * * [simplify]: Extracting #4: cost 679 inf + 541 59.044 * * [simplify]: Extracting #5: cost 615 inf + 27466 59.079 * * [simplify]: Extracting #6: cost 386 inf + 90869 59.121 * * [simplify]: Extracting #7: cost 323 inf + 110848 59.168 * * [simplify]: Extracting #8: cost 107 inf + 199300 59.242 * * [simplify]: Extracting #9: cost 5 inf + 248762 59.313 * * [simplify]: Extracting #10: cost 0 inf + 251607 59.400 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) 59.400 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 59.401 * * * * [progress]: [ 20 / 4754 ] simplifiying candidate # 59.402 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 59.402 * * [simplify]: iters left: 6 (37 enodes) 59.420 * * [simplify]: iters left: 5 (183 enodes) 59.473 * * [simplify]: Extracting #0: cost 1 inf + 0 59.473 * * [simplify]: Extracting #1: cost 3 inf + 0 59.474 * * [simplify]: Extracting #2: cost 10 inf + 0 59.474 * * [simplify]: Extracting #3: cost 78 inf + 0 59.475 * * [simplify]: Extracting #4: cost 176 inf + 1 59.476 * * [simplify]: Extracting #5: cost 212 inf + 334 59.479 * * [simplify]: Extracting #6: cost 163 inf + 12709 59.492 * * [simplify]: Extracting #7: cost 53 inf + 46819 59.511 * * [simplify]: Extracting #8: cost 7 inf + 62671 59.532 * * [simplify]: Extracting #9: cost 1 inf + 66942 59.558 * * [simplify]: Extracting #10: cost 0 inf + 68207 59.584 * [simplify]: Simplified to (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 59.585 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 59.586 * * * * [progress]: [ 21 / 4754 ] simplifiying candidate # 59.586 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 59.587 * * [simplify]: iters left: 6 (32 enodes) 59.604 * * [simplify]: iters left: 5 (155 enodes) 59.665 * * [simplify]: iters left: 4 (457 enodes) 59.975 * * [simplify]: Extracting #0: cost 1 inf + 0 59.976 * * [simplify]: Extracting #1: cost 3 inf + 0 59.976 * * [simplify]: Extracting #2: cost 14 inf + 0 59.976 * * [simplify]: Extracting #3: cost 237 inf + 0 59.983 * * [simplify]: Extracting #4: cost 632 inf + 128 59.988 * * [simplify]: Extracting #5: cost 679 inf + 12534 60.010 * * [simplify]: Extracting #6: cost 423 inf + 80957 60.042 * * [simplify]: Extracting #7: cost 271 inf + 125391 60.112 * * [simplify]: Extracting #8: cost 51 inf + 216963 60.208 * * [simplify]: Extracting #9: cost 0 inf + 242861 60.282 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 60.282 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))))) 60.283 * * * * [progress]: [ 22 / 4754 ] simplifiying candidate # 60.283 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 60.283 * * [simplify]: iters left: 6 (37 enodes) 60.305 * * [simplify]: iters left: 5 (183 enodes) 60.350 * * [simplify]: Extracting #0: cost 1 inf + 0 60.350 * * [simplify]: Extracting #1: cost 3 inf + 0 60.350 * * [simplify]: Extracting #2: cost 10 inf + 0 60.350 * * [simplify]: Extracting #3: cost 78 inf + 0 60.350 * * [simplify]: Extracting #4: cost 176 inf + 1 60.351 * * [simplify]: Extracting #5: cost 215 inf + 170 60.352 * * [simplify]: Extracting #6: cost 166 inf + 13436 60.359 * * [simplify]: Extracting #7: cost 45 inf + 55066 60.371 * * [simplify]: Extracting #8: cost 8 inf + 63061 60.382 * * [simplify]: Extracting #9: cost 1 inf + 67822 60.400 * * [simplify]: Extracting #10: cost 0 inf + 69087 60.424 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 60.424 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 60.425 * * * * [progress]: [ 23 / 4754 ] simplifiying candidate # 60.426 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 60.426 * * [simplify]: iters left: 6 (32 enodes) 60.443 * * [simplify]: iters left: 5 (155 enodes) 60.503 * * [simplify]: iters left: 4 (457 enodes) 60.793 * * [simplify]: Extracting #0: cost 1 inf + 0 60.793 * * [simplify]: Extracting #1: cost 3 inf + 0 60.793 * * [simplify]: Extracting #2: cost 14 inf + 0 60.794 * * [simplify]: Extracting #3: cost 234 inf + 0 60.797 * * [simplify]: Extracting #4: cost 640 inf + 45 60.805 * * [simplify]: Extracting #5: cost 706 inf + 8507 60.837 * * [simplify]: Extracting #6: cost 477 inf + 63722 60.886 * * [simplify]: Extracting #7: cost 281 inf + 124602 60.929 * * [simplify]: Extracting #8: cost 63 inf + 216967 60.994 * * [simplify]: Extracting #9: cost 0 inf + 248511 61.087 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 61.087 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))))) 61.087 * * * * [progress]: [ 24 / 4754 ] simplifiying candidate # 61.087 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 61.088 * * [simplify]: iters left: 6 (37 enodes) 61.097 * * [simplify]: iters left: 5 (182 enodes) 61.151 * * [simplify]: Extracting #0: cost 1 inf + 0 61.151 * * [simplify]: Extracting #1: cost 3 inf + 0 61.151 * * [simplify]: Extracting #2: cost 6 inf + 0 61.151 * * [simplify]: Extracting #3: cost 56 inf + 0 61.151 * * [simplify]: Extracting #4: cost 162 inf + 0 61.152 * * [simplify]: Extracting #5: cost 218 inf + 370 61.155 * * [simplify]: Extracting #6: cost 179 inf + 5338 61.159 * * [simplify]: Extracting #7: cost 98 inf + 24016 61.169 * * [simplify]: Extracting #8: cost 27 inf + 55151 61.182 * * [simplify]: Extracting #9: cost 0 inf + 71450 61.198 * [simplify]: Simplified to (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 61.198 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 61.199 * * * * [progress]: [ 25 / 4754 ] simplifiying candidate # 61.199 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 61.200 * * [simplify]: iters left: 6 (38 enodes) 61.220 * * [simplify]: iters left: 5 (191 enodes) 61.309 * * [simplify]: Extracting #0: cost 1 inf + 0 61.309 * * [simplify]: Extracting #1: cost 3 inf + 0 61.310 * * [simplify]: Extracting #2: cost 6 inf + 0 61.310 * * [simplify]: Extracting #3: cost 60 inf + 0 61.310 * * [simplify]: Extracting #4: cost 185 inf + 0 61.312 * * [simplify]: Extracting #5: cost 220 inf + 1235 61.317 * * [simplify]: Extracting #6: cost 132 inf + 15760 61.331 * * [simplify]: Extracting #7: cost 57 inf + 42966 61.354 * * [simplify]: Extracting #8: cost 5 inf + 69821 61.379 * * [simplify]: Extracting #9: cost 1 inf + 71722 61.401 * * [simplify]: Extracting #10: cost 0 inf + 72987 61.416 * [simplify]: Simplified to (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) 61.416 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 61.417 * * * * [progress]: [ 26 / 4754 ] simplifiying candidate # 61.417 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 61.417 * * [simplify]: iters left: 6 (38 enodes) 61.428 * * [simplify]: iters left: 5 (191 enodes) 61.511 * * [simplify]: Extracting #0: cost 1 inf + 0 61.511 * * [simplify]: Extracting #1: cost 3 inf + 0 61.511 * * [simplify]: Extracting #2: cost 6 inf + 0 61.511 * * [simplify]: Extracting #3: cost 62 inf + 0 61.512 * * [simplify]: Extracting #4: cost 183 inf + 0 61.514 * * [simplify]: Extracting #5: cost 224 inf + 701 61.518 * * [simplify]: Extracting #6: cost 166 inf + 13650 61.531 * * [simplify]: Extracting #7: cost 60 inf + 48793 61.545 * * [simplify]: Extracting #8: cost 3 inf + 67365 61.557 * * [simplify]: Extracting #9: cost 0 inf + 70219 61.578 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 61.578 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 61.579 * * * * [progress]: [ 27 / 4754 ] simplifiying candidate # 61.580 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 61.580 * * [simplify]: iters left: 6 (32 enodes) 61.595 * * [simplify]: iters left: 5 (155 enodes) 61.630 * * [simplify]: iters left: 4 (462 enodes) 61.909 * * [simplify]: Extracting #0: cost 1 inf + 0 61.909 * * [simplify]: Extracting #1: cost 3 inf + 0 61.909 * * [simplify]: Extracting #2: cost 20 inf + 0 61.910 * * [simplify]: Extracting #3: cost 284 inf + 0 61.912 * * [simplify]: Extracting #4: cost 671 inf + 1062 61.917 * * [simplify]: Extracting #5: cost 674 inf + 19261 61.935 * * [simplify]: Extracting #6: cost 467 inf + 69092 61.994 * * [simplify]: Extracting #7: cost 229 inf + 151560 62.068 * * [simplify]: Extracting #8: cost 17 inf + 250306 62.172 * * [simplify]: Extracting #9: cost 0 inf + 259699 62.254 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) 62.254 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 62.254 * * * * [progress]: [ 28 / 4754 ] simplifiying candidate # 62.254 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 62.255 * * [simplify]: iters left: 6 (37 enodes) 62.265 * * [simplify]: iters left: 5 (183 enodes) 62.330 * * [simplify]: Extracting #0: cost 1 inf + 0 62.330 * * [simplify]: Extracting #1: cost 3 inf + 0 62.330 * * [simplify]: Extracting #2: cost 10 inf + 0 62.330 * * [simplify]: Extracting #3: cost 78 inf + 0 62.331 * * [simplify]: Extracting #4: cost 172 inf + 1 62.332 * * [simplify]: Extracting #5: cost 198 inf + 742 62.335 * * [simplify]: Extracting #6: cost 147 inf + 9265 62.347 * * [simplify]: Extracting #7: cost 54 inf + 39624 62.366 * * [simplify]: Extracting #8: cost 8 inf + 59667 62.387 * * [simplify]: Extracting #9: cost 1 inf + 64414 62.412 * * [simplify]: Extracting #10: cost 0 inf + 65639 62.434 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 62.434 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 62.435 * * * * [progress]: [ 29 / 4754 ] simplifiying candidate # 62.435 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 62.435 * * [simplify]: iters left: 6 (32 enodes) 62.452 * * [simplify]: iters left: 5 (155 enodes) 62.514 * * [simplify]: iters left: 4 (455 enodes) 62.812 * * [simplify]: Extracting #0: cost 1 inf + 0 62.812 * * [simplify]: Extracting #1: cost 3 inf + 0 62.812 * * [simplify]: Extracting #2: cost 14 inf + 0 62.812 * * [simplify]: Extracting #3: cost 233 inf + 0 62.814 * * [simplify]: Extracting #4: cost 604 inf + 127 62.821 * * [simplify]: Extracting #5: cost 628 inf + 25142 62.839 * * [simplify]: Extracting #6: cost 368 inf + 88731 62.898 * * [simplify]: Extracting #7: cost 199 inf + 150808 62.968 * * [simplify]: Extracting #8: cost 17 inf + 232949 63.072 * * [simplify]: Extracting #9: cost 0 inf + 241866 63.146 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 63.146 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))))) 63.146 * * * * [progress]: [ 30 / 4754 ] simplifiying candidate # 63.147 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 63.147 * * [simplify]: iters left: 6 (37 enodes) 63.166 * * [simplify]: iters left: 5 (183 enodes) 63.225 * * [simplify]: Extracting #0: cost 1 inf + 0 63.225 * * [simplify]: Extracting #1: cost 3 inf + 0 63.225 * * [simplify]: Extracting #2: cost 10 inf + 0 63.225 * * [simplify]: Extracting #3: cost 78 inf + 0 63.226 * * [simplify]: Extracting #4: cost 172 inf + 1 63.226 * * [simplify]: Extracting #5: cost 198 inf + 663 63.228 * * [simplify]: Extracting #6: cost 142 inf + 10199 63.238 * * [simplify]: Extracting #7: cost 39 inf + 47914 63.261 * * [simplify]: Extracting #8: cost 3 inf + 65070 63.284 * * [simplify]: Extracting #9: cost 0 inf + 66479 63.309 * * [simplify]: Extracting #10: cost 0 inf + 66439 63.331 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 63.332 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 63.332 * * * * [progress]: [ 31 / 4754 ] simplifiying candidate # 63.333 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 63.333 * * [simplify]: iters left: 6 (32 enodes) 63.350 * * [simplify]: iters left: 5 (155 enodes) 63.417 * * [simplify]: iters left: 4 (455 enodes) 63.753 * * [simplify]: Extracting #0: cost 1 inf + 0 63.753 * * [simplify]: Extracting #1: cost 3 inf + 0 63.753 * * [simplify]: Extracting #2: cost 14 inf + 0 63.753 * * [simplify]: Extracting #3: cost 227 inf + 0 63.755 * * [simplify]: Extracting #4: cost 609 inf + 44 63.760 * * [simplify]: Extracting #5: cost 658 inf + 17602 63.777 * * [simplify]: Extracting #6: cost 400 inf + 80815 63.836 * * [simplify]: Extracting #7: cost 206 inf + 148013 63.904 * * [simplify]: Extracting #8: cost 18 inf + 234349 63.997 * * [simplify]: Extracting #9: cost 0 inf + 242163 64.059 * [simplify]: Simplified to (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) 64.059 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))))) 64.060 * * * * [progress]: [ 32 / 4754 ] simplifiying candidate # 64.060 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 64.061 * * [simplify]: iters left: 6 (30 enodes) 64.078 * * [simplify]: iters left: 5 (149 enodes) 64.125 * * [simplify]: iters left: 4 (490 enodes) 64.635 * * [simplify]: Extracting #0: cost 1 inf + 0 64.635 * * [simplify]: Extracting #1: cost 3 inf + 0 64.642 * * [simplify]: Extracting #2: cost 24 inf + 0 64.643 * * [simplify]: Extracting #3: cost 331 inf + 0 64.649 * * [simplify]: Extracting #4: cost 925 inf + 2236 64.669 * * [simplify]: Extracting #5: cost 794 inf + 50286 64.713 * * [simplify]: Extracting #6: cost 543 inf + 120259 64.761 * * [simplify]: Extracting #7: cost 354 inf + 194705 64.890 * * [simplify]: Extracting #8: cost 26 inf + 345507 65.044 * * [simplify]: Extracting #9: cost 0 inf + 359115 65.158 * * [simplify]: Extracting #10: cost 0 inf + 358955 65.258 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 65.258 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 65.259 * * * * [progress]: [ 33 / 4754 ] simplifiying candidate # 65.259 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 65.259 * * [simplify]: iters left: 6 (31 enodes) 65.268 * * [simplify]: iters left: 5 (154 enodes) 65.309 * * [simplify]: iters left: 4 (484 enodes) 65.660 * * [simplify]: Extracting #0: cost 1 inf + 0 65.660 * * [simplify]: Extracting #1: cost 3 inf + 0 65.660 * * [simplify]: Extracting #2: cost 20 inf + 0 65.661 * * [simplify]: Extracting #3: cost 331 inf + 0 65.666 * * [simplify]: Extracting #4: cost 822 inf + 253 65.677 * * [simplify]: Extracting #5: cost 905 inf + 17938 65.699 * * [simplify]: Extracting #6: cost 590 inf + 95394 65.753 * * [simplify]: Extracting #7: cost 310 inf + 194967 65.830 * * [simplify]: Extracting #8: cost 23 inf + 327438 65.930 * * [simplify]: Extracting #9: cost 0 inf + 337240 66.033 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 66.033 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 66.033 * * * * [progress]: [ 34 / 4754 ] simplifiying candidate # 66.034 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 66.034 * * [simplify]: iters left: 6 (31 enodes) 66.042 * * [simplify]: iters left: 5 (154 enodes) 66.094 * * [simplify]: iters left: 4 (482 enodes) 66.477 * * [simplify]: Extracting #0: cost 1 inf + 0 66.477 * * [simplify]: Extracting #1: cost 3 inf + 0 66.477 * * [simplify]: Extracting #2: cost 24 inf + 0 66.486 * * [simplify]: Extracting #3: cost 370 inf + 0 66.490 * * [simplify]: Extracting #4: cost 837 inf + 1477 66.502 * * [simplify]: Extracting #5: cost 703 inf + 55610 66.534 * * [simplify]: Extracting #6: cost 467 inf + 121953 66.584 * * [simplify]: Extracting #7: cost 298 inf + 180615 66.674 * * [simplify]: Extracting #8: cost 16 inf + 305828 66.797 * * [simplify]: Extracting #9: cost 0 inf + 312788 66.904 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 66.904 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 66.905 * * * * [progress]: [ 35 / 4754 ] simplifiying candidate # 66.905 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 66.905 * * [simplify]: iters left: 6 (24 enodes) 66.918 * * [simplify]: iters left: 5 (117 enodes) 66.951 * * [simplify]: iters left: 4 (388 enodes) 67.246 * * [simplify]: Extracting #0: cost 1 inf + 0 67.246 * * [simplify]: Extracting #1: cost 3 inf + 0 67.246 * * [simplify]: Extracting #2: cost 20 inf + 0 67.247 * * [simplify]: Extracting #3: cost 248 inf + 0 67.250 * * [simplify]: Extracting #4: cost 637 inf + 1109 67.263 * * [simplify]: Extracting #5: cost 543 inf + 29814 67.296 * * [simplify]: Extracting #6: cost 351 inf + 68571 67.340 * * [simplify]: Extracting #7: cost 204 inf + 114827 67.388 * * [simplify]: Extracting #8: cost 4 inf + 186294 67.446 * * [simplify]: Extracting #9: cost 0 inf + 188074 67.509 * * [simplify]: Extracting #10: cost 0 inf + 188034 67.573 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) 67.574 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 67.574 * * * * [progress]: [ 36 / 4754 ] simplifiying candidate # 67.574 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 67.574 * * [simplify]: iters left: 6 (30 enodes) 67.582 * * [simplify]: iters left: 5 (146 enodes) 67.624 * * [simplify]: iters left: 4 (429 enodes) 67.935 * * [simplify]: Extracting #0: cost 1 inf + 0 67.936 * * [simplify]: Extracting #1: cost 3 inf + 0 67.936 * * [simplify]: Extracting #2: cost 19 inf + 0 67.936 * * [simplify]: Extracting #3: cost 263 inf + 0 67.938 * * [simplify]: Extracting #4: cost 666 inf + 496 67.944 * * [simplify]: Extracting #5: cost 659 inf + 21500 67.972 * * [simplify]: Extracting #6: cost 422 inf + 79356 68.004 * * [simplify]: Extracting #7: cost 246 inf + 141305 68.076 * * [simplify]: Extracting #8: cost 21 inf + 232950 68.134 * * [simplify]: Extracting #9: cost 0 inf + 242632 68.190 * * [simplify]: Extracting #10: cost 0 inf + 242592 68.256 * [simplify]: Simplified to (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 68.256 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 68.257 * * * * [progress]: [ 37 / 4754 ] simplifiying candidate # 68.257 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 68.257 * * [simplify]: iters left: 6 (24 enodes) 68.264 * * [simplify]: iters left: 5 (113 enodes) 68.291 * * [simplify]: iters left: 4 (344 enodes) 68.491 * * [simplify]: Extracting #0: cost 1 inf + 0 68.491 * * [simplify]: Extracting #1: cost 3 inf + 0 68.491 * * [simplify]: Extracting #2: cost 14 inf + 0 68.491 * * [simplify]: Extracting #3: cost 204 inf + 0 68.496 * * [simplify]: Extracting #4: cost 514 inf + 371 68.501 * * [simplify]: Extracting #5: cost 469 inf + 22354 68.527 * * [simplify]: Extracting #6: cost 156 inf + 95679 68.571 * * [simplify]: Extracting #7: cost 5 inf + 153608 68.617 * * [simplify]: Extracting #8: cost 0 inf + 155331 68.683 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 68.683 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))))) 68.684 * * * * [progress]: [ 38 / 4754 ] simplifiying candidate # 68.684 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 68.685 * * [simplify]: iters left: 6 (30 enodes) 68.700 * * [simplify]: iters left: 5 (146 enodes) 68.760 * * [simplify]: iters left: 4 (429 enodes) 68.997 * * [simplify]: Extracting #0: cost 1 inf + 0 68.997 * * [simplify]: Extracting #1: cost 3 inf + 0 68.997 * * [simplify]: Extracting #2: cost 19 inf + 0 68.998 * * [simplify]: Extracting #3: cost 247 inf + 0 68.999 * * [simplify]: Extracting #4: cost 626 inf + 334 69.005 * * [simplify]: Extracting #5: cost 651 inf + 20467 69.023 * * [simplify]: Extracting #6: cost 432 inf + 70944 69.069 * * [simplify]: Extracting #7: cost 279 inf + 123539 69.120 * * [simplify]: Extracting #8: cost 20 inf + 231308 69.194 * * [simplify]: Extracting #9: cost 0 inf + 239805 69.262 * * [simplify]: Extracting #10: cost 0 inf + 239765 69.327 * [simplify]: Simplified to (cbrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 69.327 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 69.328 * * * * [progress]: [ 39 / 4754 ] simplifiying candidate # 69.328 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 69.328 * * [simplify]: iters left: 6 (24 enodes) 69.339 * * [simplify]: iters left: 5 (113 enodes) 69.368 * * [simplify]: iters left: 4 (344 enodes) 69.556 * * [simplify]: Extracting #0: cost 1 inf + 0 69.556 * * [simplify]: Extracting #1: cost 3 inf + 0 69.556 * * [simplify]: Extracting #2: cost 14 inf + 0 69.556 * * [simplify]: Extracting #3: cost 202 inf + 0 69.557 * * [simplify]: Extracting #4: cost 514 inf + 615 69.565 * * [simplify]: Extracting #5: cost 460 inf + 23934 69.601 * * [simplify]: Extracting #6: cost 160 inf + 95598 69.648 * * [simplify]: Extracting #7: cost 7 inf + 152597 69.693 * * [simplify]: Extracting #8: cost 0 inf + 155449 69.760 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 69.760 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))))) 69.761 * * * * [progress]: [ 40 / 4754 ] simplifiying candidate # 69.762 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 69.762 * * [simplify]: iters left: 6 (35 enodes) 69.781 * * [simplify]: iters left: 5 (165 enodes) 69.854 * * [simplify]: iters left: 4 (469 enodes) 70.223 * * [simplify]: Extracting #0: cost 1 inf + 0 70.223 * * [simplify]: Extracting #1: cost 3 inf + 0 70.223 * * [simplify]: Extracting #2: cost 30 inf + 0 70.223 * * [simplify]: Extracting #3: cost 323 inf + 0 70.226 * * [simplify]: Extracting #4: cost 776 inf + 782 70.235 * * [simplify]: Extracting #5: cost 687 inf + 50669 70.255 * * [simplify]: Extracting #6: cost 497 inf + 111740 70.302 * * [simplify]: Extracting #7: cost 205 inf + 251345 70.392 * * [simplify]: Extracting #8: cost 3 inf + 357037 70.496 * * [simplify]: Extracting #9: cost 0 inf + 359592 70.602 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 70.602 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 70.603 * * * * [progress]: [ 41 / 4754 ] simplifiying candidate # 70.604 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 70.604 * * [simplify]: iters left: 6 (36 enodes) 70.622 * * [simplify]: iters left: 5 (174 enodes) 70.697 * * [simplify]: Extracting #0: cost 1 inf + 0 70.697 * * [simplify]: Extracting #1: cost 3 inf + 0 70.697 * * [simplify]: Extracting #2: cost 6 inf + 0 70.697 * * [simplify]: Extracting #3: cost 59 inf + 0 70.698 * * [simplify]: Extracting #4: cost 164 inf + 0 70.699 * * [simplify]: Extracting #5: cost 198 inf + 293 70.702 * * [simplify]: Extracting #6: cost 159 inf + 10851 70.714 * * [simplify]: Extracting #7: cost 65 inf + 44942 70.733 * * [simplify]: Extracting #8: cost 9 inf + 60296 70.754 * * [simplify]: Extracting #9: cost 1 inf + 65301 70.773 * * [simplify]: Extracting #10: cost 0 inf + 66486 70.794 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 70.794 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 70.795 * * * * [progress]: [ 42 / 4754 ] simplifiying candidate # 70.796 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 70.796 * * [simplify]: iters left: 6 (36 enodes) 70.818 * * [simplify]: iters left: 5 (174 enodes) 70.858 * * [simplify]: Extracting #0: cost 1 inf + 0 70.858 * * [simplify]: Extracting #1: cost 3 inf + 0 70.858 * * [simplify]: Extracting #2: cost 6 inf + 0 70.859 * * [simplify]: Extracting #3: cost 61 inf + 0 70.859 * * [simplify]: Extracting #4: cost 162 inf + 0 70.861 * * [simplify]: Extracting #5: cost 193 inf + 376 70.864 * * [simplify]: Extracting #6: cost 149 inf + 9037 70.877 * * [simplify]: Extracting #7: cost 43 inf + 44092 70.897 * * [simplify]: Extracting #8: cost 4 inf + 62577 70.921 * * [simplify]: Extracting #9: cost 0 inf + 64158 70.932 * * [simplify]: Extracting #10: cost 0 inf + 64118 70.942 * [simplify]: Simplified to (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 70.942 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 70.943 * * * * [progress]: [ 43 / 4754 ] simplifiying candidate # 70.943 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 70.943 * * [simplify]: iters left: 6 (30 enodes) 70.951 * * [simplify]: iters left: 5 (138 enodes) 71.007 * * [simplify]: iters left: 4 (379 enodes) 71.276 * * [simplify]: Extracting #0: cost 1 inf + 0 71.276 * * [simplify]: Extracting #1: cost 3 inf + 0 71.276 * * [simplify]: Extracting #2: cost 26 inf + 0 71.277 * * [simplify]: Extracting #3: cost 264 inf + 0 71.280 * * [simplify]: Extracting #4: cost 532 inf + 2420 71.292 * * [simplify]: Extracting #5: cost 460 inf + 30790 71.317 * * [simplify]: Extracting #6: cost 350 inf + 59206 71.359 * * [simplify]: Extracting #7: cost 205 inf + 109251 71.436 * * [simplify]: Extracting #8: cost 14 inf + 193859 71.483 * * [simplify]: Extracting #9: cost 0 inf + 201477 71.549 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 71.550 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 71.550 * * * * [progress]: [ 44 / 4754 ] simplifiying candidate # 71.550 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 71.550 * * [simplify]: iters left: 6 (35 enodes) 71.560 * * [simplify]: iters left: 5 (166 enodes) 71.614 * * [simplify]: iters left: 4 (443 enodes) 71.896 * * [simplify]: Extracting #0: cost 1 inf + 0 71.896 * * [simplify]: Extracting #1: cost 3 inf + 0 71.896 * * [simplify]: Extracting #2: cost 24 inf + 0 71.897 * * [simplify]: Extracting #3: cost 282 inf + 0 71.901 * * [simplify]: Extracting #4: cost 577 inf + 827 71.909 * * [simplify]: Extracting #5: cost 641 inf + 12796 71.936 * * [simplify]: Extracting #6: cost 462 inf + 61370 71.971 * * [simplify]: Extracting #7: cost 207 inf + 166316 72.063 * * [simplify]: Extracting #8: cost 4 inf + 267067 72.123 * * [simplify]: Extracting #9: cost 0 inf + 271007 72.190 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 72.191 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 72.191 * * * * [progress]: [ 45 / 4754 ] simplifiying candidate # 72.192 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 72.192 * * [simplify]: iters left: 6 (30 enodes) 72.208 * * [simplify]: iters left: 5 (138 enodes) 72.237 * * [simplify]: iters left: 4 (370 enodes) 72.466 * * [simplify]: Extracting #0: cost 1 inf + 0 72.466 * * [simplify]: Extracting #1: cost 3 inf + 0 72.466 * * [simplify]: Extracting #2: cost 19 inf + 0 72.467 * * [simplify]: Extracting #3: cost 235 inf + 0 72.468 * * [simplify]: Extracting #4: cost 438 inf + 1119 72.473 * * [simplify]: Extracting #5: cost 486 inf + 15698 72.506 * * [simplify]: Extracting #6: cost 212 inf + 90906 72.572 * * [simplify]: Extracting #7: cost 29 inf + 169708 72.619 * * [simplify]: Extracting #8: cost 12 inf + 177418 72.692 * * [simplify]: Extracting #9: cost 0 inf + 183391 72.744 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) 72.744 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))))) 72.744 * * * * [progress]: [ 46 / 4754 ] simplifiying candidate # 72.745 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 72.745 * * [simplify]: iters left: 6 (35 enodes) 72.763 * * [simplify]: iters left: 5 (166 enodes) 72.826 * * [simplify]: iters left: 4 (443 enodes) 73.066 * * [simplify]: Extracting #0: cost 1 inf + 0 73.066 * * [simplify]: Extracting #1: cost 3 inf + 0 73.066 * * [simplify]: Extracting #2: cost 24 inf + 0 73.066 * * [simplify]: Extracting #3: cost 266 inf + 0 73.068 * * [simplify]: Extracting #4: cost 536 inf + 991 73.072 * * [simplify]: Extracting #5: cost 627 inf + 15930 73.095 * * [simplify]: Extracting #6: cost 300 inf + 128169 73.183 * * [simplify]: Extracting #7: cost 94 inf + 221876 73.266 * * [simplify]: Extracting #8: cost 10 inf + 265177 73.337 * * [simplify]: Extracting #9: cost 0 inf + 270563 73.440 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 73.440 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 73.440 * * * * [progress]: [ 47 / 4754 ] simplifiying candidate # 73.440 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 73.441 * * [simplify]: iters left: 6 (30 enodes) 73.450 * * [simplify]: iters left: 5 (138 enodes) 73.486 * * [simplify]: iters left: 4 (370 enodes) 73.707 * * [simplify]: Extracting #0: cost 1 inf + 0 73.707 * * [simplify]: Extracting #1: cost 3 inf + 0 73.707 * * [simplify]: Extracting #2: cost 19 inf + 0 73.708 * * [simplify]: Extracting #3: cost 232 inf + 0 73.709 * * [simplify]: Extracting #4: cost 439 inf + 1239 73.718 * * [simplify]: Extracting #5: cost 468 inf + 18938 73.743 * * [simplify]: Extracting #6: cost 220 inf + 86371 73.807 * * [simplify]: Extracting #7: cost 39 inf + 163870 73.855 * * [simplify]: Extracting #8: cost 11 inf + 177608 73.925 * * [simplify]: Extracting #9: cost 0 inf + 183135 74.001 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) 74.001 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))))) 74.002 * * * * [progress]: [ 48 / 4754 ] simplifiying candidate # 74.002 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 74.002 * * [simplify]: iters left: 6 (31 enodes) 74.012 * * [simplify]: iters left: 5 (140 enodes) 74.049 * * [simplify]: iters left: 4 (410 enodes) 74.408 * * [simplify]: Extracting #0: cost 1 inf + 0 74.408 * * [simplify]: Extracting #1: cost 3 inf + 0 74.408 * * [simplify]: Extracting #2: cost 26 inf + 0 74.408 * * [simplify]: Extracting #3: cost 282 inf + 0 74.411 * * [simplify]: Extracting #4: cost 736 inf + 1471 74.419 * * [simplify]: Extracting #5: cost 645 inf + 35049 74.441 * * [simplify]: Extracting #6: cost 470 inf + 81590 74.473 * * [simplify]: Extracting #7: cost 314 inf + 143034 74.565 * * [simplify]: Extracting #8: cost 31 inf + 271953 74.657 * * [simplify]: Extracting #9: cost 0 inf + 288287 74.754 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) 74.754 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 74.754 * * * * [progress]: [ 49 / 4754 ] simplifiying candidate # 74.755 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 74.755 * * [simplify]: iters left: 6 (32 enodes) 74.764 * * [simplify]: iters left: 5 (149 enodes) 74.815 * * [simplify]: iters left: 4 (443 enodes) 75.145 * * [simplify]: Extracting #0: cost 1 inf + 0 75.145 * * [simplify]: Extracting #1: cost 3 inf + 0 75.145 * * [simplify]: Extracting #2: cost 22 inf + 0 75.146 * * [simplify]: Extracting #3: cost 281 inf + 0 75.150 * * [simplify]: Extracting #4: cost 718 inf + 627 75.160 * * [simplify]: Extracting #5: cost 775 inf + 18230 75.187 * * [simplify]: Extracting #6: cost 554 inf + 72089 75.236 * * [simplify]: Extracting #7: cost 363 inf + 136536 75.290 * * [simplify]: Extracting #8: cost 48 inf + 273586 75.378 * * [simplify]: Extracting #9: cost 0 inf + 296063 75.466 * * [simplify]: Extracting #10: cost 0 inf + 295983 75.568 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 75.569 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 75.569 * * * * [progress]: [ 50 / 4754 ] simplifiying candidate # 75.569 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 75.569 * * [simplify]: iters left: 6 (32 enodes) 75.578 * * [simplify]: iters left: 5 (149 enodes) 75.620 * * [simplify]: iters left: 4 (441 enodes) 76.020 * * [simplify]: Extracting #0: cost 1 inf + 0 76.020 * * [simplify]: Extracting #1: cost 3 inf + 0 76.020 * * [simplify]: Extracting #2: cost 26 inf + 0 76.022 * * [simplify]: Extracting #3: cost 318 inf + 0 76.026 * * [simplify]: Extracting #4: cost 741 inf + 1278 76.040 * * [simplify]: Extracting #5: cost 673 inf + 32150 76.070 * * [simplify]: Extracting #6: cost 477 inf + 79251 76.103 * * [simplify]: Extracting #7: cost 289 inf + 147640 76.170 * * [simplify]: Extracting #8: cost 33 inf + 259124 76.244 * * [simplify]: Extracting #9: cost 0 inf + 276029 76.355 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) 76.355 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 76.356 * * * * [progress]: [ 51 / 4754 ] simplifiying candidate # 76.356 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 76.357 * * [simplify]: iters left: 6 (25 enodes) 76.363 * * [simplify]: iters left: 5 (108 enodes) 76.383 * * [simplify]: iters left: 4 (312 enodes) 76.582 * * [simplify]: Extracting #0: cost 1 inf + 0 76.582 * * [simplify]: Extracting #1: cost 3 inf + 0 76.582 * * [simplify]: Extracting #2: cost 22 inf + 0 76.582 * * [simplify]: Extracting #3: cost 220 inf + 0 76.585 * * [simplify]: Extracting #4: cost 524 inf + 1030 76.595 * * [simplify]: Extracting #5: cost 427 inf + 22801 76.630 * * [simplify]: Extracting #6: cost 192 inf + 85557 76.690 * * [simplify]: Extracting #7: cost 16 inf + 149030 76.756 * * [simplify]: Extracting #8: cost 0 inf + 155430 76.820 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 76.820 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 76.821 * * * * [progress]: [ 52 / 4754 ] simplifiying candidate # 76.821 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 76.822 * * [simplify]: iters left: 6 (31 enodes) 76.838 * * [simplify]: iters left: 5 (141 enodes) 76.891 * * [simplify]: iters left: 4 (384 enodes) 77.192 * * [simplify]: Extracting #0: cost 1 inf + 0 77.192 * * [simplify]: Extracting #1: cost 3 inf + 0 77.193 * * [simplify]: Extracting #2: cost 22 inf + 0 77.193 * * [simplify]: Extracting #3: cost 264 inf + 0 77.197 * * [simplify]: Extracting #4: cost 576 inf + 540 77.204 * * [simplify]: Extracting #5: cost 560 inf + 18060 77.214 * * [simplify]: Extracting #6: cost 408 inf + 52588 77.241 * * [simplify]: Extracting #7: cost 255 inf + 106888 77.298 * * [simplify]: Extracting #8: cost 8 inf + 209403 77.385 * * [simplify]: Extracting #9: cost 0 inf + 212721 77.439 * [simplify]: Simplified to (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 77.439 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 77.440 * * * * [progress]: [ 53 / 4754 ] simplifiying candidate # 77.440 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 77.440 * * [simplify]: iters left: 6 (25 enodes) 77.446 * * [simplify]: iters left: 5 (108 enodes) 77.472 * * [simplify]: iters left: 4 (303 enodes) 77.685 * * [simplify]: Extracting #0: cost 1 inf + 0 77.685 * * [simplify]: Extracting #1: cost 3 inf + 0 77.685 * * [simplify]: Extracting #2: cost 16 inf + 0 77.685 * * [simplify]: Extracting #3: cost 201 inf + 0 77.687 * * [simplify]: Extracting #4: cost 408 inf + 1117 77.691 * * [simplify]: Extracting #5: cost 392 inf + 13772 77.706 * * [simplify]: Extracting #6: cost 188 inf + 58801 77.754 * * [simplify]: Extracting #7: cost 14 inf + 121474 77.809 * * [simplify]: Extracting #8: cost 0 inf + 127744 77.843 * * [simplify]: Extracting #9: cost 0 inf + 127664 77.893 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 77.893 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))))) 77.893 * * * * [progress]: [ 54 / 4754 ] simplifiying candidate # 77.894 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 77.894 * * [simplify]: iters left: 6 (31 enodes) 77.910 * * [simplify]: iters left: 5 (141 enodes) 77.965 * * [simplify]: iters left: 4 (384 enodes) 78.260 * * [simplify]: Extracting #0: cost 1 inf + 0 78.260 * * [simplify]: Extracting #1: cost 3 inf + 0 78.260 * * [simplify]: Extracting #2: cost 22 inf + 0 78.261 * * [simplify]: Extracting #3: cost 248 inf + 0 78.264 * * [simplify]: Extracting #4: cost 539 inf + 459 78.273 * * [simplify]: Extracting #5: cost 568 inf + 16202 78.292 * * [simplify]: Extracting #6: cost 442 inf + 39815 78.334 * * [simplify]: Extracting #7: cost 267 inf + 103956 78.390 * * [simplify]: Extracting #8: cost 7 inf + 208739 78.472 * * [simplify]: Extracting #9: cost 0 inf + 211460 78.532 * [simplify]: Simplified to (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 78.533 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 78.533 * * * * [progress]: [ 55 / 4754 ] simplifiying candidate # 78.534 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 78.534 * * [simplify]: iters left: 6 (25 enodes) 78.547 * * [simplify]: iters left: 5 (108 enodes) 78.582 * * [simplify]: iters left: 4 (303 enodes) 78.730 * * [simplify]: Extracting #0: cost 1 inf + 0 78.730 * * [simplify]: Extracting #1: cost 3 inf + 0 78.730 * * [simplify]: Extracting #2: cost 16 inf + 0 78.731 * * [simplify]: Extracting #3: cost 198 inf + 0 78.734 * * [simplify]: Extracting #4: cost 414 inf + 749 78.741 * * [simplify]: Extracting #5: cost 387 inf + 14998 78.764 * * [simplify]: Extracting #6: cost 181 inf + 62455 78.809 * * [simplify]: Extracting #7: cost 40 inf + 110546 78.865 * * [simplify]: Extracting #8: cost 0 inf + 127746 78.898 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 78.898 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))))) 78.899 * * * * [progress]: [ 56 / 4754 ] simplifiying candidate # 78.899 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 78.900 * * [simplify]: iters left: 6 (35 enodes) 78.918 * * [simplify]: iters left: 5 (165 enodes) 78.959 * * [simplify]: iters left: 4 (469 enodes) 79.272 * * [simplify]: Extracting #0: cost 1 inf + 0 79.272 * * [simplify]: Extracting #1: cost 3 inf + 0 79.272 * * [simplify]: Extracting #2: cost 30 inf + 0 79.273 * * [simplify]: Extracting #3: cost 325 inf + 0 79.284 * * [simplify]: Extracting #4: cost 777 inf + 538 79.298 * * [simplify]: Extracting #5: cost 757 inf + 19893 79.331 * * [simplify]: Extracting #6: cost 566 inf + 75120 79.362 * * [simplify]: Extracting #7: cost 421 inf + 126297 79.431 * * [simplify]: Extracting #8: cost 138 inf + 266388 79.558 * * [simplify]: Extracting #9: cost 4 inf + 343351 79.644 * * [simplify]: Extracting #10: cost 0 inf + 346531 79.775 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 79.775 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 79.776 * * * * [progress]: [ 57 / 4754 ] simplifiying candidate # 79.776 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 79.776 * * [simplify]: iters left: 6 (36 enodes) 79.786 * * [simplify]: iters left: 5 (174 enodes) 79.842 * * [simplify]: Extracting #0: cost 1 inf + 0 79.842 * * [simplify]: Extracting #1: cost 3 inf + 0 79.842 * * [simplify]: Extracting #2: cost 6 inf + 0 79.842 * * [simplify]: Extracting #3: cost 59 inf + 0 79.842 * * [simplify]: Extracting #4: cost 166 inf + 0 79.843 * * [simplify]: Extracting #5: cost 211 inf + 44 79.844 * * [simplify]: Extracting #6: cost 168 inf + 13357 79.851 * * [simplify]: Extracting #7: cost 53 inf + 51438 79.861 * * [simplify]: Extracting #8: cost 7 inf + 60593 79.871 * * [simplify]: Extracting #9: cost 1 inf + 64341 79.882 * * [simplify]: Extracting #10: cost 0 inf + 65526 79.905 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 79.905 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 79.906 * * * * [progress]: [ 58 / 4754 ] simplifiying candidate # 79.906 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 79.907 * * [simplify]: iters left: 6 (36 enodes) 79.926 * * [simplify]: iters left: 5 (174 enodes) 80.000 * * [simplify]: Extracting #0: cost 1 inf + 0 80.000 * * [simplify]: Extracting #1: cost 3 inf + 0 80.001 * * [simplify]: Extracting #2: cost 6 inf + 0 80.001 * * [simplify]: Extracting #3: cost 61 inf + 0 80.001 * * [simplify]: Extracting #4: cost 164 inf + 0 80.002 * * [simplify]: Extracting #5: cost 207 inf + 44 80.005 * * [simplify]: Extracting #6: cost 170 inf + 9992 80.014 * * [simplify]: Extracting #7: cost 39 inf + 54211 80.024 * * [simplify]: Extracting #8: cost 4 inf + 62358 80.037 * * [simplify]: Extracting #9: cost 0 inf + 63198 80.059 * * [simplify]: Extracting #10: cost 0 inf + 63158 80.079 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 80.080 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 80.080 * * * * [progress]: [ 59 / 4754 ] simplifiying candidate # 80.081 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 80.081 * * [simplify]: iters left: 6 (30 enodes) 80.095 * * [simplify]: iters left: 5 (138 enodes) 80.126 * * [simplify]: iters left: 4 (379 enodes) 80.377 * * [simplify]: Extracting #0: cost 1 inf + 0 80.377 * * [simplify]: Extracting #1: cost 3 inf + 0 80.377 * * [simplify]: Extracting #2: cost 26 inf + 0 80.377 * * [simplify]: Extracting #3: cost 263 inf + 0 80.379 * * [simplify]: Extracting #4: cost 542 inf + 744 80.382 * * [simplify]: Extracting #5: cost 523 inf + 11348 80.396 * * [simplify]: Extracting #6: cost 277 inf + 82625 80.469 * * [simplify]: Extracting #7: cost 35 inf + 177327 80.547 * * [simplify]: Extracting #8: cost 3 inf + 190838 80.592 * * [simplify]: Extracting #9: cost 0 inf + 192913 80.635 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 80.635 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 80.635 * * * * [progress]: [ 60 / 4754 ] simplifiying candidate # 80.636 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 80.636 * * [simplify]: iters left: 6 (35 enodes) 80.653 * * [simplify]: iters left: 5 (166 enodes) 80.695 * * [simplify]: iters left: 4 (443 enodes) 80.971 * * [simplify]: Extracting #0: cost 1 inf + 0 80.971 * * [simplify]: Extracting #1: cost 3 inf + 0 80.971 * * [simplify]: Extracting #2: cost 24 inf + 0 80.972 * * [simplify]: Extracting #3: cost 288 inf + 0 80.976 * * [simplify]: Extracting #4: cost 592 inf + 538 80.984 * * [simplify]: Extracting #5: cost 639 inf + 13930 81.025 * * [simplify]: Extracting #6: cost 310 inf + 118827 81.113 * * [simplify]: Extracting #7: cost 63 inf + 239511 81.223 * * [simplify]: Extracting #8: cost 1 inf + 269372 81.288 * * [simplify]: Extracting #9: cost 0 inf + 270557 81.362 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 81.362 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 81.363 * * * * [progress]: [ 61 / 4754 ] simplifiying candidate # 81.363 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 81.364 * * [simplify]: iters left: 6 (30 enodes) 81.381 * * [simplify]: iters left: 5 (138 enodes) 81.422 * * [simplify]: iters left: 4 (370 enodes) 81.611 * * [simplify]: Extracting #0: cost 1 inf + 0 81.612 * * [simplify]: Extracting #1: cost 3 inf + 0 81.612 * * [simplify]: Extracting #2: cost 19 inf + 0 81.612 * * [simplify]: Extracting #3: cost 238 inf + 0 81.614 * * [simplify]: Extracting #4: cost 447 inf + 829 81.617 * * [simplify]: Extracting #5: cost 490 inf + 12845 81.648 * * [simplify]: Extracting #6: cost 214 inf + 89374 81.702 * * [simplify]: Extracting #7: cost 16 inf + 176197 81.743 * * [simplify]: Extracting #8: cost 0 inf + 182209 81.793 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) 81.793 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))))) 81.793 * * * * [progress]: [ 62 / 4754 ] simplifiying candidate # 81.794 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 81.794 * * [simplify]: iters left: 6 (35 enodes) 81.806 * * [simplify]: iters left: 5 (166 enodes) 81.862 * * [simplify]: iters left: 4 (443 enodes) 82.127 * * [simplify]: Extracting #0: cost 1 inf + 0 82.127 * * [simplify]: Extracting #1: cost 3 inf + 0 82.127 * * [simplify]: Extracting #2: cost 24 inf + 0 82.128 * * [simplify]: Extracting #3: cost 272 inf + 0 82.132 * * [simplify]: Extracting #4: cost 549 inf + 867 82.139 * * [simplify]: Extracting #5: cost 641 inf + 11430 82.173 * * [simplify]: Extracting #6: cost 372 inf + 90223 82.244 * * [simplify]: Extracting #7: cost 124 inf + 199824 82.333 * * [simplify]: Extracting #8: cost 8 inf + 264107 82.395 * * [simplify]: Extracting #9: cost 0 inf + 269267 82.502 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 82.502 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 82.503 * * * * [progress]: [ 63 / 4754 ] simplifiying candidate # 82.503 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 82.503 * * [simplify]: iters left: 6 (30 enodes) 82.511 * * [simplify]: iters left: 5 (138 enodes) 82.543 * * [simplify]: iters left: 4 (370 enodes) 82.831 * * [simplify]: Extracting #0: cost 1 inf + 0 82.831 * * [simplify]: Extracting #1: cost 3 inf + 0 82.831 * * [simplify]: Extracting #2: cost 19 inf + 0 82.832 * * [simplify]: Extracting #3: cost 235 inf + 0 82.835 * * [simplify]: Extracting #4: cost 448 inf + 746 82.844 * * [simplify]: Extracting #5: cost 454 inf + 19933 82.885 * * [simplify]: Extracting #6: cost 207 inf + 92111 82.956 * * [simplify]: Extracting #7: cost 15 inf + 175848 83.034 * * [simplify]: Extracting #8: cost 0 inf + 181873 83.084 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) 83.084 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))))) 83.084 * * * * [progress]: [ 64 / 4754 ] simplifiying candidate # 83.085 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 83.085 * * [simplify]: iters left: 6 (31 enodes) 83.100 * * [simplify]: iters left: 5 (140 enodes) 83.135 * * [simplify]: iters left: 4 (410 enodes) 83.464 * * [simplify]: Extracting #0: cost 1 inf + 0 83.464 * * [simplify]: Extracting #1: cost 3 inf + 0 83.464 * * [simplify]: Extracting #2: cost 26 inf + 0 83.464 * * [simplify]: Extracting #3: cost 299 inf + 0 83.469 * * [simplify]: Extracting #4: cost 756 inf + 539 83.481 * * [simplify]: Extracting #5: cost 698 inf + 23106 83.510 * * [simplify]: Extracting #6: cost 493 inf + 77057 83.539 * * [simplify]: Extracting #7: cost 345 inf + 129812 83.613 * * [simplify]: Extracting #8: cost 24 inf + 274425 83.713 * * [simplify]: Extracting #9: cost 0 inf + 286945 83.800 * * [simplify]: Extracting #10: cost 0 inf + 286865 83.865 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 83.866 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 83.866 * * * * [progress]: [ 65 / 4754 ] simplifiying candidate # 83.866 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 83.866 * * [simplify]: iters left: 6 (32 enodes) 83.878 * * [simplify]: iters left: 5 (149 enodes) 83.937 * * [simplify]: iters left: 4 (443 enodes) 84.342 * * [simplify]: Extracting #0: cost 1 inf + 0 84.342 * * [simplify]: Extracting #1: cost 3 inf + 0 84.342 * * [simplify]: Extracting #2: cost 22 inf + 0 84.342 * * [simplify]: Extracting #3: cost 297 inf + 0 84.344 * * [simplify]: Extracting #4: cost 725 inf + 212 84.350 * * [simplify]: Extracting #5: cost 794 inf + 13274 84.367 * * [simplify]: Extracting #6: cost 557 inf + 69631 84.401 * * [simplify]: Extracting #7: cost 327 inf + 152616 84.476 * * [simplify]: Extracting #8: cost 14 inf + 288722 84.601 * * [simplify]: Extracting #9: cost 0 inf + 291872 84.712 * * [simplify]: Extracting #10: cost 0 inf + 291832 84.795 * [simplify]: Simplified to (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 84.795 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))))) 84.796 * * * * [progress]: [ 66 / 4754 ] simplifiying candidate # 84.797 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 84.797 * * [simplify]: iters left: 6 (32 enodes) 84.815 * * [simplify]: iters left: 5 (149 enodes) 84.863 * * [simplify]: iters left: 4 (441 enodes) 85.746 * * [simplify]: Extracting #0: cost 1 inf + 0 85.746 * * [simplify]: Extracting #1: cost 3 inf + 0 85.746 * * [simplify]: Extracting #2: cost 26 inf + 0 85.747 * * [simplify]: Extracting #3: cost 341 inf + 0 85.749 * * [simplify]: Extracting #4: cost 751 inf + 1605 85.756 * * [simplify]: Extracting #5: cost 680 inf + 34309 85.776 * * [simplify]: Extracting #6: cost 486 inf + 81626 85.811 * * [simplify]: Extracting #7: cost 311 inf + 143754 85.896 * * [simplify]: Extracting #8: cost 42 inf + 255549 86.011 * * [simplify]: Extracting #9: cost 0 inf + 272959 86.106 * * [simplify]: Extracting #10: cost 0 inf + 272919 86.192 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) 86.192 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))))) 86.193 * * * * [progress]: [ 67 / 4754 ] simplifiying candidate # 86.193 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 86.193 * * [simplify]: iters left: 6 (25 enodes) 86.206 * * [simplify]: iters left: 5 (108 enodes) 86.250 * * [simplify]: iters left: 4 (312 enodes) 86.421 * * [simplify]: Extracting #0: cost 1 inf + 0 86.421 * * [simplify]: Extracting #1: cost 3 inf + 0 86.421 * * [simplify]: Extracting #2: cost 22 inf + 0 86.422 * * [simplify]: Extracting #3: cost 228 inf + 0 86.425 * * [simplify]: Extracting #4: cost 515 inf + 1477 86.435 * * [simplify]: Extracting #5: cost 424 inf + 21595 86.459 * * [simplify]: Extracting #6: cost 189 inf + 83504 86.505 * * [simplify]: Extracting #7: cost 3 inf + 150070 86.545 * * [simplify]: Extracting #8: cost 0 inf + 149665 86.586 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 86.586 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 86.587 * * * * [progress]: [ 68 / 4754 ] simplifiying candidate # 86.587 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 86.587 * * [simplify]: iters left: 6 (31 enodes) 86.605 * * [simplify]: iters left: 5 (141 enodes) 86.665 * * [simplify]: iters left: 4 (384 enodes) 86.907 * * [simplify]: Extracting #0: cost 1 inf + 0 86.908 * * [simplify]: Extracting #1: cost 3 inf + 0 86.908 * * [simplify]: Extracting #2: cost 22 inf + 0 86.909 * * [simplify]: Extracting #3: cost 276 inf + 0 86.912 * * [simplify]: Extracting #4: cost 582 inf + 910 86.921 * * [simplify]: Extracting #5: cost 558 inf + 19642 86.939 * * [simplify]: Extracting #6: cost 271 inf + 106412 86.997 * * [simplify]: Extracting #7: cost 9 inf + 209379 87.052 * * [simplify]: Extracting #8: cost 0 inf + 213658 87.128 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 87.128 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 87.128 * * * * [progress]: [ 69 / 4754 ] simplifiying candidate # 87.128 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 87.129 * * [simplify]: iters left: 6 (25 enodes) 87.135 * * [simplify]: iters left: 5 (108 enodes) 87.169 * * [simplify]: iters left: 4 (303 enodes) 87.372 * * [simplify]: Extracting #0: cost 1 inf + 0 87.372 * * [simplify]: Extracting #1: cost 3 inf + 0 87.372 * * [simplify]: Extracting #2: cost 16 inf + 0 87.373 * * [simplify]: Extracting #3: cost 213 inf + 0 87.376 * * [simplify]: Extracting #4: cost 424 inf + 1159 87.387 * * [simplify]: Extracting #5: cost 381 inf + 16791 87.410 * * [simplify]: Extracting #6: cost 283 inf + 31892 87.436 * * [simplify]: Extracting #7: cost 175 inf + 67339 87.469 * * [simplify]: Extracting #8: cost 5 inf + 128715 87.507 * * [simplify]: Extracting #9: cost 0 inf + 130280 87.558 * * [simplify]: Extracting #10: cost 0 inf + 130240 87.597 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 87.598 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))))) 87.598 * * * * [progress]: [ 70 / 4754 ] simplifiying candidate # 87.598 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 87.598 * * [simplify]: iters left: 6 (31 enodes) 87.606 * * [simplify]: iters left: 5 (141 enodes) 87.643 * * [simplify]: iters left: 4 (384 enodes) 87.990 * * [simplify]: Extracting #0: cost 1 inf + 0 87.990 * * [simplify]: Extracting #1: cost 3 inf + 0 87.990 * * [simplify]: Extracting #2: cost 22 inf + 0 87.991 * * [simplify]: Extracting #3: cost 260 inf + 0 87.994 * * [simplify]: Extracting #4: cost 549 inf + 500 88.000 * * [simplify]: Extracting #5: cost 568 inf + 16697 88.018 * * [simplify]: Extracting #6: cost 312 inf + 92095 88.090 * * [simplify]: Extracting #7: cost 21 inf + 206165 88.149 * * [simplify]: Extracting #8: cost 2 inf + 212730 88.211 * * [simplify]: Extracting #9: cost 0 inf + 213154 88.290 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 88.290 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))) 88.291 * * * * [progress]: [ 71 / 4754 ] simplifiying candidate # 88.291 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 88.292 * * [simplify]: iters left: 6 (25 enodes) 88.303 * * [simplify]: iters left: 5 (108 enodes) 88.339 * * [simplify]: iters left: 4 (303 enodes) 88.532 * * [simplify]: Extracting #0: cost 1 inf + 0 88.532 * * [simplify]: Extracting #1: cost 3 inf + 0 88.532 * * [simplify]: Extracting #2: cost 16 inf + 0 88.532 * * [simplify]: Extracting #3: cost 209 inf + 0 88.533 * * [simplify]: Extracting #4: cost 428 inf + 502 88.537 * * [simplify]: Extracting #5: cost 395 inf + 14799 88.550 * * [simplify]: Extracting #6: cost 181 inf + 66742 88.588 * * [simplify]: Extracting #7: cost 8 inf + 127398 88.639 * * [simplify]: Extracting #8: cost 0 inf + 130318 88.668 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 88.669 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))))) 88.669 * * * * [progress]: [ 72 / 4754 ] simplifiying candidate # 88.669 * [simplify]: Simplifying (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 88.669 * * [simplify]: iters left: 6 (18 enodes) 88.674 * * [simplify]: iters left: 5 (84 enodes) 88.707 * * [simplify]: iters left: 4 (228 enodes) 88.882 * * [simplify]: Extracting #0: cost 1 inf + 0 88.882 * * [simplify]: Extracting #1: cost 3 inf + 0 88.882 * * [simplify]: Extracting #2: cost 6 inf + 0 88.882 * * [simplify]: Extracting #3: cost 73 inf + 0 88.883 * * [simplify]: Extracting #4: cost 265 inf + 2 88.885 * * [simplify]: Extracting #5: cost 286 inf + 1801 88.896 * * [simplify]: Extracting #6: cost 166 inf + 30220 88.931 * * [simplify]: Extracting #7: cost 30 inf + 75376 88.980 * * [simplify]: Extracting #8: cost 0 inf + 85577 89.023 * * [simplify]: Extracting #9: cost 0 inf + 85246 89.069 * [simplify]: Simplified to (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 89.069 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))))) 89.070 * * * * [progress]: [ 73 / 4754 ] simplifiying candidate # 89.070 * [simplify]: Simplifying (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 89.070 * * [simplify]: iters left: 6 (17 enodes) 89.080 * * [simplify]: iters left: 5 (77 enodes) 89.098 * * [simplify]: iters left: 4 (210 enodes) 89.213 * * [simplify]: Extracting #0: cost 1 inf + 0 89.213 * * [simplify]: Extracting #1: cost 3 inf + 0 89.213 * * [simplify]: Extracting #2: cost 25 inf + 0 89.213 * * [simplify]: Extracting #3: cost 107 inf + 0 89.215 * * [simplify]: Extracting #4: cost 254 inf + 44 89.217 * * [simplify]: Extracting #5: cost 259 inf + 2051 89.222 * * [simplify]: Extracting #6: cost 192 inf + 11834 89.233 * * [simplify]: Extracting #7: cost 126 inf + 29341 89.258 * * [simplify]: Extracting #8: cost 21 inf + 64809 89.283 * * [simplify]: Extracting #9: cost 0 inf + 72332 89.301 * [simplify]: Simplified to (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 89.301 * [simplify]: Simplified (2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (/ (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) 89.302 * * * * [progress]: [ 74 / 4754 ] simplifiying candidate # 89.302 * * * * [progress]: [ 75 / 4754 ] simplifiying candidate # 89.302 * * * * [progress]: [ 76 / 4754 ] simplifiying candidate # 89.302 * * * * [progress]: [ 77 / 4754 ] simplifiying candidate # 89.302 * * * * [progress]: [ 78 / 4754 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))))> 89.303 * * * * [progress]: [ 79 / 4754 ] simplifiying candidate # 89.303 * * * * [progress]: [ 80 / 4754 ] simplifiying candidate # 89.303 * * * * [progress]: [ 81 / 4754 ] simplifiying candidate # 89.303 * * * * [progress]: [ 82 / 4754 ] simplifiying candidate # 89.303 * * * * [progress]: [ 83 / 4754 ] simplifiying candidate # 89.303 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 89.303 * * [simplify]: iters left: 6 (17 enodes) 89.308 * * [simplify]: iters left: 5 (65 enodes) 89.332 * * [simplify]: iters left: 4 (114 enodes) 89.385 * * [simplify]: iters left: 3 (315 enodes) 89.551 * * [simplify]: Extracting #0: cost 1 inf + 0 89.551 * * [simplify]: Extracting #1: cost 3 inf + 0 89.551 * * [simplify]: Extracting #2: cost 5 inf + 0 89.551 * * [simplify]: Extracting #3: cost 7 inf + 0 89.551 * * [simplify]: Extracting #4: cost 23 inf + 0 89.552 * * [simplify]: Extracting #5: cost 145 inf + 0 89.553 * * [simplify]: Extracting #6: cost 203 inf + 85 89.554 * * [simplify]: Extracting #7: cost 204 inf + 2288 89.557 * * [simplify]: Extracting #8: cost 147 inf + 12694 89.566 * * [simplify]: Extracting #9: cost 23 inf + 51092 89.579 * * [simplify]: Extracting #10: cost 0 inf + 57898 89.592 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 89.592 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 89.592 * * * * [progress]: [ 84 / 4754 ] simplifiying candidate # 89.593 * [simplify]: Simplifying (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 89.593 * * [simplify]: iters left: 6 (16 enodes) 89.597 * * [simplify]: iters left: 5 (62 enodes) 89.612 * * [simplify]: iters left: 4 (111 enodes) 89.648 * * [simplify]: iters left: 3 (312 enodes) 89.807 * * [simplify]: Extracting #0: cost 1 inf + 0 89.807 * * [simplify]: Extracting #1: cost 3 inf + 0 89.807 * * [simplify]: Extracting #2: cost 5 inf + 0 89.807 * * [simplify]: Extracting #3: cost 21 inf + 0 89.807 * * [simplify]: Extracting #4: cost 139 inf + 0 89.808 * * [simplify]: Extracting #5: cost 199 inf + 44 89.809 * * [simplify]: Extracting #6: cost 199 inf + 1968 89.812 * * [simplify]: Extracting #7: cost 131 inf + 14187 89.821 * * [simplify]: Extracting #8: cost 26 inf + 45766 89.839 * * [simplify]: Extracting #9: cost 0 inf + 55975 89.863 * [simplify]: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 89.863 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 89.863 * * * * [progress]: [ 85 / 4754 ] simplifiying candidate # 89.864 * [simplify]: Simplifying (cbrt 1) 89.864 * * [simplify]: iters left: 1 (2 enodes) 89.866 * * [simplify]: Extracting #0: cost 1 inf + 0 89.866 * * [simplify]: Extracting #1: cost 0 inf + 1 89.866 * [simplify]: Simplified to 1 89.866 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* 1 (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 89.866 * * * * [progress]: [ 86 / 4754 ] simplifiying candidate # 89.867 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 89.867 * * [simplify]: iters left: 6 (34 enodes) 89.876 * * [simplify]: iters left: 5 (173 enodes) 89.946 * * [simplify]: Extracting #0: cost 1 inf + 0 89.946 * * [simplify]: Extracting #1: cost 3 inf + 0 89.946 * * [simplify]: Extracting #2: cost 6 inf + 0 89.946 * * [simplify]: Extracting #3: cost 60 inf + 0 89.947 * * [simplify]: Extracting #4: cost 168 inf + 0 89.948 * * [simplify]: Extracting #5: cost 241 inf + 0 89.952 * * [simplify]: Extracting #6: cost 200 inf + 15564 89.967 * * [simplify]: Extracting #7: cost 63 inf + 60484 89.992 * * [simplify]: Extracting #8: cost 7 inf + 73587 90.020 * * [simplify]: Extracting #9: cost 0 inf + 76861 90.036 * * [simplify]: Extracting #10: cost 0 inf + 76541 90.049 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 90.049 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 90.050 * * * * [progress]: [ 87 / 4754 ] simplifiying candidate # 90.050 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 90.050 * * [simplify]: iters left: 6 (35 enodes) 90.060 * * [simplify]: iters left: 5 (178 enodes) 90.103 * * [simplify]: Extracting #0: cost 1 inf + 0 90.103 * * [simplify]: Extracting #1: cost 3 inf + 0 90.103 * * [simplify]: Extracting #2: cost 6 inf + 0 90.103 * * [simplify]: Extracting #3: cost 58 inf + 0 90.104 * * [simplify]: Extracting #4: cost 172 inf + 0 90.105 * * [simplify]: Extracting #5: cost 235 inf + 85 90.108 * * [simplify]: Extracting #6: cost 191 inf + 15306 90.126 * * [simplify]: Extracting #7: cost 74 inf + 52611 90.148 * * [simplify]: Extracting #8: cost 8 inf + 66818 90.173 * * [simplify]: Extracting #9: cost 0 inf + 71375 90.198 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 90.198 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 90.199 * * * * [progress]: [ 88 / 4754 ] simplifiying candidate # 90.199 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 90.200 * * [simplify]: iters left: 6 (35 enodes) 90.218 * * [simplify]: iters left: 5 (178 enodes) 90.264 * * [simplify]: Extracting #0: cost 1 inf + 0 90.264 * * [simplify]: Extracting #1: cost 3 inf + 0 90.264 * * [simplify]: Extracting #2: cost 6 inf + 0 90.264 * * [simplify]: Extracting #3: cost 60 inf + 0 90.265 * * [simplify]: Extracting #4: cost 170 inf + 0 90.266 * * [simplify]: Extracting #5: cost 230 inf + 166 90.270 * * [simplify]: Extracting #6: cost 178 inf + 14825 90.285 * * [simplify]: Extracting #7: cost 44 inf + 55372 90.306 * * [simplify]: Extracting #8: cost 5 inf + 67005 90.318 * * [simplify]: Extracting #9: cost 0 inf + 69007 90.332 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 90.332 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 90.332 * * * * [progress]: [ 89 / 4754 ] simplifiying candidate # 90.333 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 90.333 * * [simplify]: iters left: 6 (29 enodes) 90.341 * * [simplify]: iters left: 5 (146 enodes) 90.376 * * [simplify]: iters left: 4 (476 enodes) 90.758 * * [simplify]: Extracting #0: cost 1 inf + 0 90.758 * * [simplify]: Extracting #1: cost 3 inf + 0 90.758 * * [simplify]: Extracting #2: cost 20 inf + 0 90.759 * * [simplify]: Extracting #3: cost 282 inf + 0 90.763 * * [simplify]: Extracting #4: cost 726 inf + 742 90.774 * * [simplify]: Extracting #5: cost 770 inf + 17733 90.804 * * [simplify]: Extracting #6: cost 517 inf + 82722 90.860 * * [simplify]: Extracting #7: cost 303 inf + 151104 90.963 * * [simplify]: Extracting #8: cost 65 inf + 252227 91.063 * * [simplify]: Extracting #9: cost 1 inf + 285417 91.153 * * [simplify]: Extracting #10: cost 0 inf + 285842 91.225 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) 91.225 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 91.226 * * * * [progress]: [ 90 / 4754 ] simplifiying candidate # 91.226 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 91.226 * * [simplify]: iters left: 6 (34 enodes) 91.235 * * [simplify]: iters left: 5 (170 enodes) 91.288 * * [simplify]: Extracting #0: cost 1 inf + 0 91.288 * * [simplify]: Extracting #1: cost 3 inf + 0 91.289 * * [simplify]: Extracting #2: cost 10 inf + 0 91.289 * * [simplify]: Extracting #3: cost 78 inf + 0 91.289 * * [simplify]: Extracting #4: cost 160 inf + 42 91.290 * * [simplify]: Extracting #5: cost 207 inf + 207 91.291 * * [simplify]: Extracting #6: cost 166 inf + 14735 91.299 * * [simplify]: Extracting #7: cost 33 inf + 63766 91.311 * * [simplify]: Extracting #8: cost 1 inf + 64140 91.323 * * [simplify]: Extracting #9: cost 0 inf + 64192 91.335 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 91.335 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 91.335 * * * * [progress]: [ 91 / 4754 ] simplifiying candidate # 91.335 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 91.336 * * [simplify]: iters left: 6 (29 enodes) 91.350 * * [simplify]: iters left: 5 (142 enodes) 91.412 * * [simplify]: iters left: 4 (432 enodes) 91.666 * * [simplify]: Extracting #0: cost 1 inf + 0 91.666 * * [simplify]: Extracting #1: cost 3 inf + 0 91.666 * * [simplify]: Extracting #2: cost 15 inf + 0 91.666 * * [simplify]: Extracting #3: cost 195 inf + 0 91.668 * * [simplify]: Extracting #4: cost 515 inf + 87 91.674 * * [simplify]: Extracting #5: cost 632 inf + 21089 91.714 * * [simplify]: Extracting #6: cost 283 inf + 117143 91.751 * * [simplify]: Extracting #7: cost 209 inf + 136236 91.802 * * [simplify]: Extracting #8: cost 81 inf + 191013 91.858 * * [simplify]: Extracting #9: cost 4 inf + 230272 91.950 * * [simplify]: Extracting #10: cost 1 inf + 232627 92.020 * * [simplify]: Extracting #11: cost 0 inf + 233532 92.104 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 92.105 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 92.105 * * * * [progress]: [ 92 / 4754 ] simplifiying candidate # 92.105 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 92.106 * * [simplify]: iters left: 6 (34 enodes) 92.115 * * [simplify]: iters left: 5 (170 enodes) 92.173 * * [simplify]: Extracting #0: cost 1 inf + 0 92.173 * * [simplify]: Extracting #1: cost 3 inf + 0 92.173 * * [simplify]: Extracting #2: cost 10 inf + 0 92.173 * * [simplify]: Extracting #3: cost 78 inf + 0 92.174 * * [simplify]: Extracting #4: cost 160 inf + 42 92.174 * * [simplify]: Extracting #5: cost 207 inf + 207 92.176 * * [simplify]: Extracting #6: cost 166 inf + 14947 92.184 * * [simplify]: Extracting #7: cost 31 inf + 64800 92.202 * * [simplify]: Extracting #8: cost 1 inf + 64700 92.226 * * [simplify]: Extracting #9: cost 0 inf + 64832 92.249 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 92.249 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 92.250 * * * * [progress]: [ 93 / 4754 ] simplifiying candidate # 92.250 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 92.251 * * [simplify]: iters left: 6 (29 enodes) 92.269 * * [simplify]: iters left: 5 (142 enodes) 92.328 * * [simplify]: iters left: 4 (432 enodes) 92.575 * * [simplify]: Extracting #0: cost 1 inf + 0 92.575 * * [simplify]: Extracting #1: cost 3 inf + 0 92.576 * * [simplify]: Extracting #2: cost 15 inf + 0 92.576 * * [simplify]: Extracting #3: cost 197 inf + 0 92.579 * * [simplify]: Extracting #4: cost 523 inf + 128 92.585 * * [simplify]: Extracting #5: cost 683 inf + 5697 92.601 * * [simplify]: Extracting #6: cost 530 inf + 35960 92.644 * * [simplify]: Extracting #7: cost 270 inf + 116504 92.703 * * [simplify]: Extracting #8: cost 54 inf + 209065 92.797 * * [simplify]: Extracting #9: cost 2 inf + 234384 92.869 * * [simplify]: Extracting #10: cost 0 inf + 236034 92.941 * * [simplify]: Extracting #11: cost 0 inf + 235994 93.019 * [simplify]: Simplified to (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 93.019 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 93.020 * * * * [progress]: [ 94 / 4754 ] simplifiying candidate # 93.020 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 93.020 * * [simplify]: iters left: 6 (37 enodes) 93.030 * * [simplify]: iters left: 5 (182 enodes) 93.105 * * [simplify]: Extracting #0: cost 1 inf + 0 93.105 * * [simplify]: Extracting #1: cost 3 inf + 0 93.105 * * [simplify]: Extracting #2: cost 6 inf + 0 93.105 * * [simplify]: Extracting #3: cost 56 inf + 0 93.106 * * [simplify]: Extracting #4: cost 166 inf + 0 93.107 * * [simplify]: Extracting #5: cost 231 inf + 44 93.110 * * [simplify]: Extracting #6: cost 190 inf + 12089 93.123 * * [simplify]: Extracting #7: cost 64 inf + 47883 93.147 * * [simplify]: Extracting #8: cost 2 inf + 73741 93.165 * * [simplify]: Extracting #9: cost 0 inf + 74698 93.181 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 93.182 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 93.182 * * * * [progress]: [ 95 / 4754 ] simplifiying candidate # 93.182 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 93.183 * * [simplify]: iters left: 6 (38 enodes) 93.194 * * [simplify]: iters left: 5 (191 enodes) 93.253 * * [simplify]: Extracting #0: cost 1 inf + 0 93.253 * * [simplify]: Extracting #1: cost 3 inf + 0 93.253 * * [simplify]: Extracting #2: cost 6 inf + 0 93.254 * * [simplify]: Extracting #3: cost 60 inf + 0 93.254 * * [simplify]: Extracting #4: cost 189 inf + 0 93.256 * * [simplify]: Extracting #5: cost 232 inf + 1029 93.262 * * [simplify]: Extracting #6: cost 133 inf + 17447 93.270 * * [simplify]: Extracting #7: cost 53 inf + 47217 93.284 * * [simplify]: Extracting #8: cost 5 inf + 69656 93.300 * * [simplify]: Extracting #9: cost 1 inf + 71730 93.324 * * [simplify]: Extracting #10: cost 0 inf + 72995 93.343 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 93.343 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 93.343 * * * * [progress]: [ 96 / 4754 ] simplifiying candidate # 93.343 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 93.344 * * [simplify]: iters left: 6 (38 enodes) 93.354 * * [simplify]: iters left: 5 (191 enodes) 93.425 * * [simplify]: Extracting #0: cost 1 inf + 0 93.425 * * [simplify]: Extracting #1: cost 3 inf + 0 93.425 * * [simplify]: Extracting #2: cost 6 inf + 0 93.425 * * [simplify]: Extracting #3: cost 62 inf + 0 93.426 * * [simplify]: Extracting #4: cost 187 inf + 0 93.427 * * [simplify]: Extracting #5: cost 226 inf + 1393 93.429 * * [simplify]: Extracting #6: cost 142 inf + 13891 93.436 * * [simplify]: Extracting #7: cost 72 inf + 39771 93.447 * * [simplify]: Extracting #8: cost 6 inf + 67983 93.466 * * [simplify]: Extracting #9: cost 0 inf + 70467 93.490 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 93.490 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 93.491 * * * * [progress]: [ 97 / 4754 ] simplifiying candidate # 93.491 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 93.492 * * [simplify]: iters left: 6 (32 enodes) 93.512 * * [simplify]: iters left: 5 (155 enodes) 93.548 * * [simplify]: iters left: 4 (464 enodes) 93.878 * * [simplify]: Extracting #0: cost 1 inf + 0 93.878 * * [simplify]: Extracting #1: cost 3 inf + 0 93.879 * * [simplify]: Extracting #2: cost 20 inf + 0 93.879 * * [simplify]: Extracting #3: cost 271 inf + 0 93.881 * * [simplify]: Extracting #4: cost 679 inf + 541 93.888 * * [simplify]: Extracting #5: cost 615 inf + 27466 93.920 * * [simplify]: Extracting #6: cost 386 inf + 90869 93.945 * * [simplify]: Extracting #7: cost 323 inf + 110848 93.994 * * [simplify]: Extracting #8: cost 107 inf + 199300 94.068 * * [simplify]: Extracting #9: cost 5 inf + 248762 94.139 * * [simplify]: Extracting #10: cost 0 inf + 251607 94.211 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) 94.211 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 94.212 * * * * [progress]: [ 98 / 4754 ] simplifiying candidate # 94.213 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 94.213 * * [simplify]: iters left: 6 (37 enodes) 94.226 * * [simplify]: iters left: 5 (183 enodes) 94.283 * * [simplify]: Extracting #0: cost 1 inf + 0 94.283 * * [simplify]: Extracting #1: cost 3 inf + 0 94.283 * * [simplify]: Extracting #2: cost 10 inf + 0 94.283 * * [simplify]: Extracting #3: cost 78 inf + 0 94.284 * * [simplify]: Extracting #4: cost 176 inf + 1 94.285 * * [simplify]: Extracting #5: cost 212 inf + 334 94.288 * * [simplify]: Extracting #6: cost 163 inf + 12709 94.301 * * [simplify]: Extracting #7: cost 53 inf + 46819 94.313 * * [simplify]: Extracting #8: cost 7 inf + 62671 94.328 * * [simplify]: Extracting #9: cost 1 inf + 66942 94.339 * * [simplify]: Extracting #10: cost 0 inf + 68207 94.361 * [simplify]: Simplified to (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 94.361 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 94.362 * * * * [progress]: [ 99 / 4754 ] simplifiying candidate # 94.362 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 94.363 * * [simplify]: iters left: 6 (32 enodes) 94.380 * * [simplify]: iters left: 5 (155 enodes) 94.432 * * [simplify]: iters left: 4 (457 enodes) 94.666 * * [simplify]: Extracting #0: cost 1 inf + 0 94.666 * * [simplify]: Extracting #1: cost 3 inf + 0 94.666 * * [simplify]: Extracting #2: cost 14 inf + 0 94.666 * * [simplify]: Extracting #3: cost 237 inf + 0 94.669 * * [simplify]: Extracting #4: cost 632 inf + 128 94.677 * * [simplify]: Extracting #5: cost 679 inf + 12534 94.697 * * [simplify]: Extracting #6: cost 423 inf + 80957 94.728 * * [simplify]: Extracting #7: cost 271 inf + 125391 94.811 * * [simplify]: Extracting #8: cost 51 inf + 216963 94.880 * * [simplify]: Extracting #9: cost 0 inf + 242861 94.948 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 94.948 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 94.949 * * * * [progress]: [ 100 / 4754 ] simplifiying candidate # 94.949 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 94.949 * * [simplify]: iters left: 6 (37 enodes) 94.959 * * [simplify]: iters left: 5 (183 enodes) 95.036 * * [simplify]: Extracting #0: cost 1 inf + 0 95.037 * * [simplify]: Extracting #1: cost 3 inf + 0 95.037 * * [simplify]: Extracting #2: cost 10 inf + 0 95.037 * * [simplify]: Extracting #3: cost 78 inf + 0 95.037 * * [simplify]: Extracting #4: cost 176 inf + 1 95.038 * * [simplify]: Extracting #5: cost 215 inf + 170 95.039 * * [simplify]: Extracting #6: cost 166 inf + 13436 95.047 * * [simplify]: Extracting #7: cost 45 inf + 55066 95.057 * * [simplify]: Extracting #8: cost 8 inf + 63061 95.068 * * [simplify]: Extracting #9: cost 1 inf + 67822 95.095 * * [simplify]: Extracting #10: cost 0 inf + 69087 95.118 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 95.118 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 95.119 * * * * [progress]: [ 101 / 4754 ] simplifiying candidate # 95.119 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 95.119 * * [simplify]: iters left: 6 (32 enodes) 95.131 * * [simplify]: iters left: 5 (155 enodes) 95.162 * * [simplify]: iters left: 4 (457 enodes) 95.465 * * [simplify]: Extracting #0: cost 1 inf + 0 95.465 * * [simplify]: Extracting #1: cost 3 inf + 0 95.466 * * [simplify]: Extracting #2: cost 14 inf + 0 95.466 * * [simplify]: Extracting #3: cost 234 inf + 0 95.469 * * [simplify]: Extracting #4: cost 640 inf + 45 95.478 * * [simplify]: Extracting #5: cost 706 inf + 8507 95.492 * * [simplify]: Extracting #6: cost 477 inf + 63722 95.519 * * [simplify]: Extracting #7: cost 281 inf + 124602 95.563 * * [simplify]: Extracting #8: cost 63 inf + 216967 95.615 * * [simplify]: Extracting #9: cost 0 inf + 248511 95.687 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 95.688 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 95.688 * * * * [progress]: [ 102 / 4754 ] simplifiying candidate # 95.688 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 95.689 * * [simplify]: iters left: 6 (37 enodes) 95.704 * * [simplify]: iters left: 5 (182 enodes) 95.776 * * [simplify]: Extracting #0: cost 1 inf + 0 95.776 * * [simplify]: Extracting #1: cost 3 inf + 0 95.776 * * [simplify]: Extracting #2: cost 6 inf + 0 95.777 * * [simplify]: Extracting #3: cost 56 inf + 0 95.777 * * [simplify]: Extracting #4: cost 162 inf + 0 95.777 * * [simplify]: Extracting #5: cost 218 inf + 370 95.779 * * [simplify]: Extracting #6: cost 179 inf + 5338 95.783 * * [simplify]: Extracting #7: cost 98 inf + 24016 95.792 * * [simplify]: Extracting #8: cost 27 inf + 55151 95.815 * * [simplify]: Extracting #9: cost 0 inf + 71450 95.840 * [simplify]: Simplified to (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 95.841 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 95.841 * * * * [progress]: [ 103 / 4754 ] simplifiying candidate # 95.842 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 95.842 * * [simplify]: iters left: 6 (38 enodes) 95.863 * * [simplify]: iters left: 5 (191 enodes) 95.928 * * [simplify]: Extracting #0: cost 1 inf + 0 95.928 * * [simplify]: Extracting #1: cost 3 inf + 0 95.928 * * [simplify]: Extracting #2: cost 6 inf + 0 95.928 * * [simplify]: Extracting #3: cost 60 inf + 0 95.929 * * [simplify]: Extracting #4: cost 185 inf + 0 95.930 * * [simplify]: Extracting #5: cost 220 inf + 1235 95.935 * * [simplify]: Extracting #6: cost 132 inf + 15760 95.949 * * [simplify]: Extracting #7: cost 57 inf + 42966 95.965 * * [simplify]: Extracting #8: cost 5 inf + 69821 95.980 * * [simplify]: Extracting #9: cost 1 inf + 71722 96.001 * * [simplify]: Extracting #10: cost 0 inf + 72987 96.013 * [simplify]: Simplified to (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) 96.014 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 96.014 * * * * [progress]: [ 104 / 4754 ] simplifiying candidate # 96.014 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 96.015 * * [simplify]: iters left: 6 (38 enodes) 96.025 * * [simplify]: iters left: 5 (191 enodes) 96.100 * * [simplify]: Extracting #0: cost 1 inf + 0 96.100 * * [simplify]: Extracting #1: cost 3 inf + 0 96.100 * * [simplify]: Extracting #2: cost 6 inf + 0 96.101 * * [simplify]: Extracting #3: cost 62 inf + 0 96.101 * * [simplify]: Extracting #4: cost 183 inf + 0 96.102 * * [simplify]: Extracting #5: cost 224 inf + 701 96.104 * * [simplify]: Extracting #6: cost 166 inf + 13650 96.113 * * [simplify]: Extracting #7: cost 60 inf + 48793 96.133 * * [simplify]: Extracting #8: cost 3 inf + 67365 96.157 * * [simplify]: Extracting #9: cost 0 inf + 70219 96.181 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 96.181 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 96.182 * * * * [progress]: [ 105 / 4754 ] simplifiying candidate # 96.182 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 96.183 * * [simplify]: iters left: 6 (32 enodes) 96.200 * * [simplify]: iters left: 5 (155 enodes) 96.254 * * [simplify]: iters left: 4 (462 enodes) 96.516 * * [simplify]: Extracting #0: cost 1 inf + 0 96.516 * * [simplify]: Extracting #1: cost 3 inf + 0 96.516 * * [simplify]: Extracting #2: cost 20 inf + 0 96.517 * * [simplify]: Extracting #3: cost 284 inf + 0 96.519 * * [simplify]: Extracting #4: cost 671 inf + 1062 96.525 * * [simplify]: Extracting #5: cost 674 inf + 19261 96.538 * * [simplify]: Extracting #6: cost 467 inf + 69092 96.572 * * [simplify]: Extracting #7: cost 229 inf + 151560 96.644 * * [simplify]: Extracting #8: cost 17 inf + 250306 96.710 * * [simplify]: Extracting #9: cost 0 inf + 259699 96.804 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) 96.804 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 96.805 * * * * [progress]: [ 106 / 4754 ] simplifiying candidate # 96.805 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 96.806 * * [simplify]: iters left: 6 (37 enodes) 96.825 * * [simplify]: iters left: 5 (183 enodes) 96.880 * * [simplify]: Extracting #0: cost 1 inf + 0 96.880 * * [simplify]: Extracting #1: cost 3 inf + 0 96.880 * * [simplify]: Extracting #2: cost 10 inf + 0 96.881 * * [simplify]: Extracting #3: cost 78 inf + 0 96.881 * * [simplify]: Extracting #4: cost 172 inf + 1 96.883 * * [simplify]: Extracting #5: cost 198 inf + 742 96.886 * * [simplify]: Extracting #6: cost 147 inf + 9265 96.902 * * [simplify]: Extracting #7: cost 54 inf + 39624 96.921 * * [simplify]: Extracting #8: cost 8 inf + 59667 96.943 * * [simplify]: Extracting #9: cost 1 inf + 64414 96.967 * * [simplify]: Extracting #10: cost 0 inf + 65639 96.987 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 96.987 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 96.988 * * * * [progress]: [ 107 / 4754 ] simplifiying candidate # 96.989 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 96.990 * * [simplify]: iters left: 6 (32 enodes) 97.006 * * [simplify]: iters left: 5 (155 enodes) 97.044 * * [simplify]: iters left: 4 (455 enodes) 97.345 * * [simplify]: Extracting #0: cost 1 inf + 0 97.345 * * [simplify]: Extracting #1: cost 3 inf + 0 97.345 * * [simplify]: Extracting #2: cost 14 inf + 0 97.346 * * [simplify]: Extracting #3: cost 233 inf + 0 97.347 * * [simplify]: Extracting #4: cost 604 inf + 127 97.354 * * [simplify]: Extracting #5: cost 628 inf + 25142 97.383 * * [simplify]: Extracting #6: cost 368 inf + 88731 97.433 * * [simplify]: Extracting #7: cost 199 inf + 150808 97.481 * * [simplify]: Extracting #8: cost 17 inf + 232949 97.580 * * [simplify]: Extracting #9: cost 0 inf + 241866 97.639 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 97.639 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 97.640 * * * * [progress]: [ 108 / 4754 ] simplifiying candidate # 97.640 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 97.640 * * [simplify]: iters left: 6 (37 enodes) 97.660 * * [simplify]: iters left: 5 (183 enodes) 97.722 * * [simplify]: Extracting #0: cost 1 inf + 0 97.722 * * [simplify]: Extracting #1: cost 3 inf + 0 97.722 * * [simplify]: Extracting #2: cost 10 inf + 0 97.722 * * [simplify]: Extracting #3: cost 78 inf + 0 97.723 * * [simplify]: Extracting #4: cost 172 inf + 1 97.723 * * [simplify]: Extracting #5: cost 198 inf + 663 97.725 * * [simplify]: Extracting #6: cost 142 inf + 10199 97.733 * * [simplify]: Extracting #7: cost 39 inf + 47914 97.746 * * [simplify]: Extracting #8: cost 3 inf + 65070 97.758 * * [simplify]: Extracting #9: cost 0 inf + 66479 97.771 * * [simplify]: Extracting #10: cost 0 inf + 66439 97.783 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 97.783 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 97.783 * * * * [progress]: [ 109 / 4754 ] simplifiying candidate # 97.783 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 97.784 * * [simplify]: iters left: 6 (32 enodes) 97.794 * * [simplify]: iters left: 5 (155 enodes) 97.834 * * [simplify]: iters left: 4 (455 enodes) 98.120 * * [simplify]: Extracting #0: cost 1 inf + 0 98.120 * * [simplify]: Extracting #1: cost 3 inf + 0 98.120 * * [simplify]: Extracting #2: cost 14 inf + 0 98.120 * * [simplify]: Extracting #3: cost 227 inf + 0 98.124 * * [simplify]: Extracting #4: cost 609 inf + 44 98.135 * * [simplify]: Extracting #5: cost 658 inf + 17602 98.167 * * [simplify]: Extracting #6: cost 400 inf + 80815 98.233 * * [simplify]: Extracting #7: cost 206 inf + 148013 98.323 * * [simplify]: Extracting #8: cost 18 inf + 234349 98.395 * * [simplify]: Extracting #9: cost 0 inf + 242163 98.472 * [simplify]: Simplified to (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) 98.472 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 98.473 * * * * [progress]: [ 110 / 4754 ] simplifiying candidate # 98.473 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 98.473 * * [simplify]: iters left: 6 (30 enodes) 98.481 * * [simplify]: iters left: 5 (149 enodes) 98.545 * * [simplify]: iters left: 4 (490 enodes) 98.947 * * [simplify]: Extracting #0: cost 1 inf + 0 98.948 * * [simplify]: Extracting #1: cost 3 inf + 0 98.948 * * [simplify]: Extracting #2: cost 24 inf + 0 98.948 * * [simplify]: Extracting #3: cost 331 inf + 0 98.952 * * [simplify]: Extracting #4: cost 925 inf + 2236 98.971 * * [simplify]: Extracting #5: cost 794 inf + 50286 99.015 * * [simplify]: Extracting #6: cost 543 inf + 120259 99.076 * * [simplify]: Extracting #7: cost 354 inf + 194705 99.172 * * [simplify]: Extracting #8: cost 26 inf + 345507 99.293 * * [simplify]: Extracting #9: cost 0 inf + 359115 99.446 * * [simplify]: Extracting #10: cost 0 inf + 358955 99.598 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 99.599 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 99.599 * * * * [progress]: [ 111 / 4754 ] simplifiying candidate # 99.600 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 99.600 * * [simplify]: iters left: 6 (31 enodes) 99.609 * * [simplify]: iters left: 5 (154 enodes) 99.643 * * [simplify]: iters left: 4 (484 enodes) 100.095 * * [simplify]: Extracting #0: cost 1 inf + 0 100.095 * * [simplify]: Extracting #1: cost 3 inf + 0 100.095 * * [simplify]: Extracting #2: cost 20 inf + 0 100.097 * * [simplify]: Extracting #3: cost 331 inf + 0 100.101 * * [simplify]: Extracting #4: cost 822 inf + 253 100.113 * * [simplify]: Extracting #5: cost 905 inf + 17938 100.147 * * [simplify]: Extracting #6: cost 590 inf + 95394 100.198 * * [simplify]: Extracting #7: cost 310 inf + 194967 100.279 * * [simplify]: Extracting #8: cost 23 inf + 327438 100.377 * * [simplify]: Extracting #9: cost 0 inf + 337240 100.476 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 100.476 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 100.476 * * * * [progress]: [ 112 / 4754 ] simplifiying candidate # 100.476 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 100.477 * * [simplify]: iters left: 6 (31 enodes) 100.485 * * [simplify]: iters left: 5 (154 enodes) 100.534 * * [simplify]: iters left: 4 (482 enodes) 100.877 * * [simplify]: Extracting #0: cost 1 inf + 0 100.877 * * [simplify]: Extracting #1: cost 3 inf + 0 100.877 * * [simplify]: Extracting #2: cost 24 inf + 0 100.879 * * [simplify]: Extracting #3: cost 370 inf + 0 100.884 * * [simplify]: Extracting #4: cost 837 inf + 1477 100.897 * * [simplify]: Extracting #5: cost 703 inf + 55610 100.923 * * [simplify]: Extracting #6: cost 467 inf + 121953 100.973 * * [simplify]: Extracting #7: cost 298 inf + 180615 101.046 * * [simplify]: Extracting #8: cost 16 inf + 305828 101.177 * * [simplify]: Extracting #9: cost 0 inf + 312788 101.298 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 101.299 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 101.299 * * * * [progress]: [ 113 / 4754 ] simplifiying candidate # 101.299 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 101.300 * * [simplify]: iters left: 6 (24 enodes) 101.306 * * [simplify]: iters left: 5 (117 enodes) 101.345 * * [simplify]: iters left: 4 (388 enodes) 101.605 * * [simplify]: Extracting #0: cost 1 inf + 0 101.606 * * [simplify]: Extracting #1: cost 3 inf + 0 101.606 * * [simplify]: Extracting #2: cost 20 inf + 0 101.606 * * [simplify]: Extracting #3: cost 248 inf + 0 101.610 * * [simplify]: Extracting #4: cost 637 inf + 1109 101.621 * * [simplify]: Extracting #5: cost 543 inf + 29814 101.648 * * [simplify]: Extracting #6: cost 351 inf + 68571 101.691 * * [simplify]: Extracting #7: cost 204 inf + 114827 101.734 * * [simplify]: Extracting #8: cost 4 inf + 186294 101.784 * * [simplify]: Extracting #9: cost 0 inf + 188074 101.856 * * [simplify]: Extracting #10: cost 0 inf + 188034 101.918 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) 101.918 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 101.918 * * * * [progress]: [ 114 / 4754 ] simplifiying candidate # 101.919 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 101.919 * * [simplify]: iters left: 6 (30 enodes) 101.927 * * [simplify]: iters left: 5 (146 enodes) 101.971 * * [simplify]: iters left: 4 (429 enodes) 102.231 * * [simplify]: Extracting #0: cost 1 inf + 0 102.232 * * [simplify]: Extracting #1: cost 3 inf + 0 102.232 * * [simplify]: Extracting #2: cost 19 inf + 0 102.232 * * [simplify]: Extracting #3: cost 263 inf + 0 102.234 * * [simplify]: Extracting #4: cost 666 inf + 496 102.243 * * [simplify]: Extracting #5: cost 659 inf + 21500 102.272 * * [simplify]: Extracting #6: cost 422 inf + 79356 102.327 * * [simplify]: Extracting #7: cost 246 inf + 141305 102.397 * * [simplify]: Extracting #8: cost 21 inf + 232950 102.458 * * [simplify]: Extracting #9: cost 0 inf + 242632 102.518 * * [simplify]: Extracting #10: cost 0 inf + 242592 102.591 * [simplify]: Simplified to (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 102.591 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 102.592 * * * * [progress]: [ 115 / 4754 ] simplifiying candidate # 102.592 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 102.593 * * [simplify]: iters left: 6 (24 enodes) 102.605 * * [simplify]: iters left: 5 (113 enodes) 102.649 * * [simplify]: iters left: 4 (344 enodes) 102.854 * * [simplify]: Extracting #0: cost 1 inf + 0 102.854 * * [simplify]: Extracting #1: cost 3 inf + 0 102.854 * * [simplify]: Extracting #2: cost 14 inf + 0 102.855 * * [simplify]: Extracting #3: cost 204 inf + 0 102.858 * * [simplify]: Extracting #4: cost 514 inf + 371 102.867 * * [simplify]: Extracting #5: cost 469 inf + 22354 102.885 * * [simplify]: Extracting #6: cost 156 inf + 95679 102.922 * * [simplify]: Extracting #7: cost 5 inf + 153608 102.969 * * [simplify]: Extracting #8: cost 0 inf + 155331 103.025 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 103.025 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 103.025 * * * * [progress]: [ 116 / 4754 ] simplifiying candidate # 103.026 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 103.026 * * [simplify]: iters left: 6 (30 enodes) 103.044 * * [simplify]: iters left: 5 (146 enodes) 103.106 * * [simplify]: iters left: 4 (429 enodes) 103.377 * * [simplify]: Extracting #0: cost 1 inf + 0 103.377 * * [simplify]: Extracting #1: cost 3 inf + 0 103.377 * * [simplify]: Extracting #2: cost 19 inf + 0 103.378 * * [simplify]: Extracting #3: cost 247 inf + 0 103.381 * * [simplify]: Extracting #4: cost 626 inf + 334 103.392 * * [simplify]: Extracting #5: cost 651 inf + 20467 103.421 * * [simplify]: Extracting #6: cost 432 inf + 70944 103.461 * * [simplify]: Extracting #7: cost 279 inf + 123539 103.526 * * [simplify]: Extracting #8: cost 20 inf + 231308 103.615 * * [simplify]: Extracting #9: cost 0 inf + 239805 103.688 * * [simplify]: Extracting #10: cost 0 inf + 239765 103.781 * [simplify]: Simplified to (cbrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 103.781 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 103.782 * * * * [progress]: [ 117 / 4754 ] simplifiying candidate # 103.782 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 103.782 * * [simplify]: iters left: 6 (24 enodes) 103.794 * * [simplify]: iters left: 5 (113 enodes) 103.824 * * [simplify]: iters left: 4 (344 enodes) 104.044 * * [simplify]: Extracting #0: cost 1 inf + 0 104.044 * * [simplify]: Extracting #1: cost 3 inf + 0 104.044 * * [simplify]: Extracting #2: cost 14 inf + 0 104.045 * * [simplify]: Extracting #3: cost 202 inf + 0 104.046 * * [simplify]: Extracting #4: cost 514 inf + 615 104.051 * * [simplify]: Extracting #5: cost 460 inf + 23934 104.086 * * [simplify]: Extracting #6: cost 160 inf + 95598 104.136 * * [simplify]: Extracting #7: cost 7 inf + 152597 104.192 * * [simplify]: Extracting #8: cost 0 inf + 155449 104.238 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 104.238 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 104.238 * * * * [progress]: [ 118 / 4754 ] simplifiying candidate # 104.239 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 104.239 * * [simplify]: iters left: 6 (35 enodes) 104.249 * * [simplify]: iters left: 5 (165 enodes) 104.297 * * [simplify]: iters left: 4 (469 enodes) 104.570 * * [simplify]: Extracting #0: cost 1 inf + 0 104.570 * * [simplify]: Extracting #1: cost 3 inf + 0 104.570 * * [simplify]: Extracting #2: cost 30 inf + 0 104.571 * * [simplify]: Extracting #3: cost 323 inf + 0 104.573 * * [simplify]: Extracting #4: cost 776 inf + 782 104.588 * * [simplify]: Extracting #5: cost 687 inf + 50669 104.622 * * [simplify]: Extracting #6: cost 497 inf + 111740 104.679 * * [simplify]: Extracting #7: cost 205 inf + 251345 104.778 * * [simplify]: Extracting #8: cost 3 inf + 357037 104.909 * * [simplify]: Extracting #9: cost 0 inf + 359592 105.019 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 105.019 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 105.019 * * * * [progress]: [ 119 / 4754 ] simplifiying candidate # 105.020 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 105.020 * * [simplify]: iters left: 6 (36 enodes) 105.030 * * [simplify]: iters left: 5 (174 enodes) 105.068 * * [simplify]: Extracting #0: cost 1 inf + 0 105.068 * * [simplify]: Extracting #1: cost 3 inf + 0 105.068 * * [simplify]: Extracting #2: cost 6 inf + 0 105.068 * * [simplify]: Extracting #3: cost 59 inf + 0 105.069 * * [simplify]: Extracting #4: cost 164 inf + 0 105.069 * * [simplify]: Extracting #5: cost 198 inf + 293 105.071 * * [simplify]: Extracting #6: cost 159 inf + 10851 105.078 * * [simplify]: Extracting #7: cost 65 inf + 44942 105.098 * * [simplify]: Extracting #8: cost 9 inf + 60296 105.112 * * [simplify]: Extracting #9: cost 1 inf + 65301 105.125 * * [simplify]: Extracting #10: cost 0 inf + 66486 105.136 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 105.136 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 105.136 * * * * [progress]: [ 120 / 4754 ] simplifiying candidate # 105.137 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 105.137 * * [simplify]: iters left: 6 (36 enodes) 105.146 * * [simplify]: iters left: 5 (174 enodes) 105.200 * * [simplify]: Extracting #0: cost 1 inf + 0 105.200 * * [simplify]: Extracting #1: cost 3 inf + 0 105.200 * * [simplify]: Extracting #2: cost 6 inf + 0 105.200 * * [simplify]: Extracting #3: cost 61 inf + 0 105.200 * * [simplify]: Extracting #4: cost 162 inf + 0 105.201 * * [simplify]: Extracting #5: cost 193 inf + 376 105.203 * * [simplify]: Extracting #6: cost 149 inf + 9037 105.211 * * [simplify]: Extracting #7: cost 43 inf + 44092 105.222 * * [simplify]: Extracting #8: cost 4 inf + 62577 105.241 * * [simplify]: Extracting #9: cost 0 inf + 64158 105.262 * * [simplify]: Extracting #10: cost 0 inf + 64118 105.284 * [simplify]: Simplified to (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 105.284 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 105.285 * * * * [progress]: [ 121 / 4754 ] simplifiying candidate # 105.285 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 105.285 * * [simplify]: iters left: 6 (30 enodes) 105.293 * * [simplify]: iters left: 5 (138 enodes) 105.326 * * [simplify]: iters left: 4 (379 enodes) 105.565 * * [simplify]: Extracting #0: cost 1 inf + 0 105.566 * * [simplify]: Extracting #1: cost 3 inf + 0 105.566 * * [simplify]: Extracting #2: cost 26 inf + 0 105.567 * * [simplify]: Extracting #3: cost 264 inf + 0 105.570 * * [simplify]: Extracting #4: cost 532 inf + 2420 105.582 * * [simplify]: Extracting #5: cost 460 inf + 30790 105.607 * * [simplify]: Extracting #6: cost 350 inf + 59206 105.636 * * [simplify]: Extracting #7: cost 205 inf + 109251 105.682 * * [simplify]: Extracting #8: cost 14 inf + 193859 105.745 * * [simplify]: Extracting #9: cost 0 inf + 201477 105.805 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 105.805 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 105.805 * * * * [progress]: [ 122 / 4754 ] simplifiying candidate # 105.806 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 105.806 * * [simplify]: iters left: 6 (35 enodes) 105.821 * * [simplify]: iters left: 5 (166 enodes) 105.861 * * [simplify]: iters left: 4 (443 enodes) 106.147 * * [simplify]: Extracting #0: cost 1 inf + 0 106.147 * * [simplify]: Extracting #1: cost 3 inf + 0 106.148 * * [simplify]: Extracting #2: cost 24 inf + 0 106.148 * * [simplify]: Extracting #3: cost 282 inf + 0 106.150 * * [simplify]: Extracting #4: cost 577 inf + 827 106.154 * * [simplify]: Extracting #5: cost 641 inf + 12796 106.164 * * [simplify]: Extracting #6: cost 462 inf + 61370 106.221 * * [simplify]: Extracting #7: cost 207 inf + 166316 106.324 * * [simplify]: Extracting #8: cost 4 inf + 267067 106.431 * * [simplify]: Extracting #9: cost 0 inf + 271007 106.509 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 106.509 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 106.509 * * * * [progress]: [ 123 / 4754 ] simplifiying candidate # 106.510 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 106.510 * * [simplify]: iters left: 6 (30 enodes) 106.521 * * [simplify]: iters left: 5 (138 enodes) 106.553 * * [simplify]: iters left: 4 (370 enodes) 106.780 * * [simplify]: Extracting #0: cost 1 inf + 0 106.780 * * [simplify]: Extracting #1: cost 3 inf + 0 106.780 * * [simplify]: Extracting #2: cost 19 inf + 0 106.781 * * [simplify]: Extracting #3: cost 235 inf + 0 106.784 * * [simplify]: Extracting #4: cost 438 inf + 1119 106.792 * * [simplify]: Extracting #5: cost 486 inf + 15698 106.819 * * [simplify]: Extracting #6: cost 212 inf + 90906 106.869 * * [simplify]: Extracting #7: cost 29 inf + 169708 106.941 * * [simplify]: Extracting #8: cost 12 inf + 177418 107.015 * * [simplify]: Extracting #9: cost 0 inf + 183391 107.070 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) 107.070 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 107.071 * * * * [progress]: [ 124 / 4754 ] simplifiying candidate # 107.071 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 107.072 * * [simplify]: iters left: 6 (35 enodes) 107.084 * * [simplify]: iters left: 5 (166 enodes) 107.128 * * [simplify]: iters left: 4 (443 enodes) 107.403 * * [simplify]: Extracting #0: cost 1 inf + 0 107.403 * * [simplify]: Extracting #1: cost 3 inf + 0 107.403 * * [simplify]: Extracting #2: cost 24 inf + 0 107.403 * * [simplify]: Extracting #3: cost 266 inf + 0 107.406 * * [simplify]: Extracting #4: cost 536 inf + 991 107.414 * * [simplify]: Extracting #5: cost 627 inf + 15930 107.460 * * [simplify]: Extracting #6: cost 300 inf + 128169 107.517 * * [simplify]: Extracting #7: cost 94 inf + 221876 107.599 * * [simplify]: Extracting #8: cost 10 inf + 265177 107.696 * * [simplify]: Extracting #9: cost 0 inf + 270563 107.781 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 107.781 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 107.782 * * * * [progress]: [ 125 / 4754 ] simplifiying candidate # 107.782 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 107.782 * * [simplify]: iters left: 6 (30 enodes) 107.790 * * [simplify]: iters left: 5 (138 enodes) 107.829 * * [simplify]: iters left: 4 (370 enodes) 108.075 * * [simplify]: Extracting #0: cost 1 inf + 0 108.075 * * [simplify]: Extracting #1: cost 3 inf + 0 108.075 * * [simplify]: Extracting #2: cost 19 inf + 0 108.076 * * [simplify]: Extracting #3: cost 232 inf + 0 108.079 * * [simplify]: Extracting #4: cost 439 inf + 1239 108.087 * * [simplify]: Extracting #5: cost 468 inf + 18938 108.112 * * [simplify]: Extracting #6: cost 220 inf + 86371 108.155 * * [simplify]: Extracting #7: cost 39 inf + 163870 108.231 * * [simplify]: Extracting #8: cost 11 inf + 177608 108.279 * * [simplify]: Extracting #9: cost 0 inf + 183135 108.323 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) 108.323 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 108.324 * * * * [progress]: [ 126 / 4754 ] simplifiying candidate # 108.324 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 108.324 * * [simplify]: iters left: 6 (31 enodes) 108.340 * * [simplify]: iters left: 5 (140 enodes) 108.379 * * [simplify]: iters left: 4 (410 enodes) 108.751 * * [simplify]: Extracting #0: cost 1 inf + 0 108.751 * * [simplify]: Extracting #1: cost 3 inf + 0 108.751 * * [simplify]: Extracting #2: cost 26 inf + 0 108.752 * * [simplify]: Extracting #3: cost 282 inf + 0 108.757 * * [simplify]: Extracting #4: cost 736 inf + 1471 108.773 * * [simplify]: Extracting #5: cost 645 inf + 35049 108.804 * * [simplify]: Extracting #6: cost 470 inf + 81590 108.848 * * [simplify]: Extracting #7: cost 314 inf + 143034 108.930 * * [simplify]: Extracting #8: cost 31 inf + 271953 109.056 * * [simplify]: Extracting #9: cost 0 inf + 288287 109.148 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) 109.148 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 109.149 * * * * [progress]: [ 127 / 4754 ] simplifiying candidate # 109.149 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 109.150 * * [simplify]: iters left: 6 (32 enodes) 109.167 * * [simplify]: iters left: 5 (149 enodes) 109.230 * * [simplify]: iters left: 4 (443 enodes) 109.613 * * [simplify]: Extracting #0: cost 1 inf + 0 109.613 * * [simplify]: Extracting #1: cost 3 inf + 0 109.613 * * [simplify]: Extracting #2: cost 22 inf + 0 109.614 * * [simplify]: Extracting #3: cost 281 inf + 0 109.616 * * [simplify]: Extracting #4: cost 718 inf + 627 109.626 * * [simplify]: Extracting #5: cost 775 inf + 18230 109.658 * * [simplify]: Extracting #6: cost 554 inf + 72089 109.706 * * [simplify]: Extracting #7: cost 363 inf + 136536 109.807 * * [simplify]: Extracting #8: cost 48 inf + 273586 109.882 * * [simplify]: Extracting #9: cost 0 inf + 296063 109.952 * * [simplify]: Extracting #10: cost 0 inf + 295983 110.045 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 110.045 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 110.045 * * * * [progress]: [ 128 / 4754 ] simplifiying candidate # 110.046 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 110.046 * * [simplify]: iters left: 6 (32 enodes) 110.056 * * [simplify]: iters left: 5 (149 enodes) 110.088 * * [simplify]: iters left: 4 (441 enodes) 110.438 * * [simplify]: Extracting #0: cost 1 inf + 0 110.438 * * [simplify]: Extracting #1: cost 3 inf + 0 110.438 * * [simplify]: Extracting #2: cost 26 inf + 0 110.439 * * [simplify]: Extracting #3: cost 318 inf + 0 110.444 * * [simplify]: Extracting #4: cost 741 inf + 1278 110.456 * * [simplify]: Extracting #5: cost 673 inf + 32150 110.482 * * [simplify]: Extracting #6: cost 477 inf + 79251 110.533 * * [simplify]: Extracting #7: cost 289 inf + 147640 110.621 * * [simplify]: Extracting #8: cost 33 inf + 259124 110.698 * * [simplify]: Extracting #9: cost 0 inf + 276029 110.778 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) 110.778 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 110.778 * * * * [progress]: [ 129 / 4754 ] simplifiying candidate # 110.779 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 110.779 * * [simplify]: iters left: 6 (25 enodes) 110.786 * * [simplify]: iters left: 5 (108 enodes) 110.821 * * [simplify]: iters left: 4 (312 enodes) 111.009 * * [simplify]: Extracting #0: cost 1 inf + 0 111.009 * * [simplify]: Extracting #1: cost 3 inf + 0 111.009 * * [simplify]: Extracting #2: cost 22 inf + 0 111.010 * * [simplify]: Extracting #3: cost 220 inf + 0 111.011 * * [simplify]: Extracting #4: cost 524 inf + 1030 111.019 * * [simplify]: Extracting #5: cost 427 inf + 22801 111.043 * * [simplify]: Extracting #6: cost 192 inf + 85557 111.082 * * [simplify]: Extracting #7: cost 16 inf + 149030 111.142 * * [simplify]: Extracting #8: cost 0 inf + 155430 111.180 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 111.180 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 111.181 * * * * [progress]: [ 130 / 4754 ] simplifiying candidate # 111.181 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 111.181 * * [simplify]: iters left: 6 (31 enodes) 111.190 * * [simplify]: iters left: 5 (141 enodes) 111.238 * * [simplify]: iters left: 4 (384 enodes) 111.519 * * [simplify]: Extracting #0: cost 1 inf + 0 111.519 * * [simplify]: Extracting #1: cost 3 inf + 0 111.519 * * [simplify]: Extracting #2: cost 22 inf + 0 111.519 * * [simplify]: Extracting #3: cost 264 inf + 0 111.524 * * [simplify]: Extracting #4: cost 576 inf + 540 111.529 * * [simplify]: Extracting #5: cost 560 inf + 18060 111.538 * * [simplify]: Extracting #6: cost 408 inf + 52588 111.572 * * [simplify]: Extracting #7: cost 255 inf + 106888 111.638 * * [simplify]: Extracting #8: cost 8 inf + 209403 111.694 * * [simplify]: Extracting #9: cost 0 inf + 212721 111.761 * [simplify]: Simplified to (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 111.761 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 111.762 * * * * [progress]: [ 131 / 4754 ] simplifiying candidate # 111.762 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 111.763 * * [simplify]: iters left: 6 (25 enodes) 111.770 * * [simplify]: iters left: 5 (108 enodes) 111.790 * * [simplify]: iters left: 4 (303 enodes) 112.005 * * [simplify]: Extracting #0: cost 1 inf + 0 112.005 * * [simplify]: Extracting #1: cost 3 inf + 0 112.005 * * [simplify]: Extracting #2: cost 16 inf + 0 112.006 * * [simplify]: Extracting #3: cost 201 inf + 0 112.008 * * [simplify]: Extracting #4: cost 408 inf + 1117 112.016 * * [simplify]: Extracting #5: cost 392 inf + 13772 112.042 * * [simplify]: Extracting #6: cost 188 inf + 58801 112.091 * * [simplify]: Extracting #7: cost 14 inf + 121474 112.147 * * [simplify]: Extracting #8: cost 0 inf + 127744 112.196 * * [simplify]: Extracting #9: cost 0 inf + 127664 112.231 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 112.231 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 112.232 * * * * [progress]: [ 132 / 4754 ] simplifiying candidate # 112.232 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 112.233 * * [simplify]: iters left: 6 (31 enodes) 112.249 * * [simplify]: iters left: 5 (141 enodes) 112.298 * * [simplify]: iters left: 4 (384 enodes) 112.520 * * [simplify]: Extracting #0: cost 1 inf + 0 112.520 * * [simplify]: Extracting #1: cost 3 inf + 0 112.520 * * [simplify]: Extracting #2: cost 22 inf + 0 112.520 * * [simplify]: Extracting #3: cost 248 inf + 0 112.522 * * [simplify]: Extracting #4: cost 539 inf + 459 112.530 * * [simplify]: Extracting #5: cost 568 inf + 16202 112.545 * * [simplify]: Extracting #6: cost 442 inf + 39815 112.582 * * [simplify]: Extracting #7: cost 267 inf + 103956 112.635 * * [simplify]: Extracting #8: cost 7 inf + 208739 112.693 * * [simplify]: Extracting #9: cost 0 inf + 211460 112.781 * [simplify]: Simplified to (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 112.782 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 112.782 * * * * [progress]: [ 133 / 4754 ] simplifiying candidate # 112.782 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 112.782 * * [simplify]: iters left: 6 (25 enodes) 112.789 * * [simplify]: iters left: 5 (108 enodes) 112.809 * * [simplify]: iters left: 4 (303 enodes) 113.007 * * [simplify]: Extracting #0: cost 1 inf + 0 113.007 * * [simplify]: Extracting #1: cost 3 inf + 0 113.007 * * [simplify]: Extracting #2: cost 16 inf + 0 113.007 * * [simplify]: Extracting #3: cost 198 inf + 0 113.009 * * [simplify]: Extracting #4: cost 414 inf + 749 113.013 * * [simplify]: Extracting #5: cost 387 inf + 14998 113.029 * * [simplify]: Extracting #6: cost 181 inf + 62455 113.080 * * [simplify]: Extracting #7: cost 40 inf + 110546 113.133 * * [simplify]: Extracting #8: cost 0 inf + 127746 113.173 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 113.173 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 113.174 * * * * [progress]: [ 134 / 4754 ] simplifiying candidate # 113.174 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 113.175 * * [simplify]: iters left: 6 (35 enodes) 113.185 * * [simplify]: iters left: 5 (165 enodes) 113.220 * * [simplify]: iters left: 4 (469 enodes) 113.568 * * [simplify]: Extracting #0: cost 1 inf + 0 113.568 * * [simplify]: Extracting #1: cost 3 inf + 0 113.569 * * [simplify]: Extracting #2: cost 30 inf + 0 113.570 * * [simplify]: Extracting #3: cost 325 inf + 0 113.575 * * [simplify]: Extracting #4: cost 777 inf + 538 113.587 * * [simplify]: Extracting #5: cost 757 inf + 19893 113.614 * * [simplify]: Extracting #6: cost 566 inf + 75120 113.636 * * [simplify]: Extracting #7: cost 421 inf + 126297 113.690 * * [simplify]: Extracting #8: cost 138 inf + 266388 113.817 * * [simplify]: Extracting #9: cost 4 inf + 343351 113.906 * * [simplify]: Extracting #10: cost 0 inf + 346531 113.981 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 113.982 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 113.982 * * * * [progress]: [ 135 / 4754 ] simplifiying candidate # 113.983 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 113.983 * * [simplify]: iters left: 6 (36 enodes) 114.005 * * [simplify]: iters left: 5 (174 enodes) 114.050 * * [simplify]: Extracting #0: cost 1 inf + 0 114.050 * * [simplify]: Extracting #1: cost 3 inf + 0 114.050 * * [simplify]: Extracting #2: cost 6 inf + 0 114.050 * * [simplify]: Extracting #3: cost 59 inf + 0 114.051 * * [simplify]: Extracting #4: cost 166 inf + 0 114.051 * * [simplify]: Extracting #5: cost 211 inf + 44 114.053 * * [simplify]: Extracting #6: cost 168 inf + 13357 114.060 * * [simplify]: Extracting #7: cost 53 inf + 51438 114.070 * * [simplify]: Extracting #8: cost 7 inf + 60593 114.082 * * [simplify]: Extracting #9: cost 1 inf + 64341 114.093 * * [simplify]: Extracting #10: cost 0 inf + 65526 114.104 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 114.104 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 114.104 * * * * [progress]: [ 136 / 4754 ] simplifiying candidate # 114.104 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 114.105 * * [simplify]: iters left: 6 (36 enodes) 114.115 * * [simplify]: iters left: 5 (174 enodes) 114.167 * * [simplify]: Extracting #0: cost 1 inf + 0 114.167 * * [simplify]: Extracting #1: cost 3 inf + 0 114.168 * * [simplify]: Extracting #2: cost 6 inf + 0 114.168 * * [simplify]: Extracting #3: cost 61 inf + 0 114.168 * * [simplify]: Extracting #4: cost 164 inf + 0 114.169 * * [simplify]: Extracting #5: cost 207 inf + 44 114.170 * * [simplify]: Extracting #6: cost 170 inf + 9992 114.177 * * [simplify]: Extracting #7: cost 39 inf + 54211 114.187 * * [simplify]: Extracting #8: cost 4 inf + 62358 114.198 * * [simplify]: Extracting #9: cost 0 inf + 63198 114.216 * * [simplify]: Extracting #10: cost 0 inf + 63158 114.236 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 114.236 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 114.237 * * * * [progress]: [ 137 / 4754 ] simplifiying candidate # 114.237 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 114.238 * * [simplify]: iters left: 6 (30 enodes) 114.253 * * [simplify]: iters left: 5 (138 enodes) 114.282 * * [simplify]: iters left: 4 (379 enodes) 114.526 * * [simplify]: Extracting #0: cost 1 inf + 0 114.526 * * [simplify]: Extracting #1: cost 3 inf + 0 114.527 * * [simplify]: Extracting #2: cost 26 inf + 0 114.527 * * [simplify]: Extracting #3: cost 263 inf + 0 114.530 * * [simplify]: Extracting #4: cost 542 inf + 744 114.533 * * [simplify]: Extracting #5: cost 523 inf + 11348 114.548 * * [simplify]: Extracting #6: cost 277 inf + 82625 114.611 * * [simplify]: Extracting #7: cost 35 inf + 177327 114.691 * * [simplify]: Extracting #8: cost 3 inf + 190838 114.766 * * [simplify]: Extracting #9: cost 0 inf + 192913 114.820 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 114.820 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 114.820 * * * * [progress]: [ 138 / 4754 ] simplifiying candidate # 114.821 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 114.821 * * [simplify]: iters left: 6 (35 enodes) 114.835 * * [simplify]: iters left: 5 (166 enodes) 114.885 * * [simplify]: iters left: 4 (443 enodes) 115.159 * * [simplify]: Extracting #0: cost 1 inf + 0 115.159 * * [simplify]: Extracting #1: cost 3 inf + 0 115.160 * * [simplify]: Extracting #2: cost 24 inf + 0 115.161 * * [simplify]: Extracting #3: cost 288 inf + 0 115.164 * * [simplify]: Extracting #4: cost 592 inf + 538 115.172 * * [simplify]: Extracting #5: cost 639 inf + 13930 115.212 * * [simplify]: Extracting #6: cost 310 inf + 118827 115.262 * * [simplify]: Extracting #7: cost 63 inf + 239511 115.346 * * [simplify]: Extracting #8: cost 1 inf + 269372 115.426 * * [simplify]: Extracting #9: cost 0 inf + 270557 115.515 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 115.515 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 115.516 * * * * [progress]: [ 139 / 4754 ] simplifiying candidate # 115.516 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 115.516 * * [simplify]: iters left: 6 (30 enodes) 115.532 * * [simplify]: iters left: 5 (138 enodes) 115.586 * * [simplify]: iters left: 4 (370 enodes) 115.769 * * [simplify]: Extracting #0: cost 1 inf + 0 115.769 * * [simplify]: Extracting #1: cost 3 inf + 0 115.769 * * [simplify]: Extracting #2: cost 19 inf + 0 115.770 * * [simplify]: Extracting #3: cost 238 inf + 0 115.773 * * [simplify]: Extracting #4: cost 447 inf + 829 115.780 * * [simplify]: Extracting #5: cost 490 inf + 12845 115.803 * * [simplify]: Extracting #6: cost 214 inf + 89374 115.852 * * [simplify]: Extracting #7: cost 16 inf + 176197 115.896 * * [simplify]: Extracting #8: cost 0 inf + 182209 115.934 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) 115.934 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 115.934 * * * * [progress]: [ 140 / 4754 ] simplifiying candidate # 115.934 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 115.935 * * [simplify]: iters left: 6 (35 enodes) 115.945 * * [simplify]: iters left: 5 (166 enodes) 116.013 * * [simplify]: iters left: 4 (443 enodes) 116.303 * * [simplify]: Extracting #0: cost 1 inf + 0 116.303 * * [simplify]: Extracting #1: cost 3 inf + 0 116.303 * * [simplify]: Extracting #2: cost 24 inf + 0 116.304 * * [simplify]: Extracting #3: cost 272 inf + 0 116.308 * * [simplify]: Extracting #4: cost 549 inf + 867 116.315 * * [simplify]: Extracting #5: cost 641 inf + 11430 116.350 * * [simplify]: Extracting #6: cost 372 inf + 90223 116.410 * * [simplify]: Extracting #7: cost 124 inf + 199824 116.511 * * [simplify]: Extracting #8: cost 8 inf + 264107 116.588 * * [simplify]: Extracting #9: cost 0 inf + 269267 116.676 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 116.677 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 116.677 * * * * [progress]: [ 141 / 4754 ] simplifiying candidate # 116.678 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 116.678 * * [simplify]: iters left: 6 (30 enodes) 116.694 * * [simplify]: iters left: 5 (138 enodes) 116.751 * * [simplify]: iters left: 4 (370 enodes) 117.016 * * [simplify]: Extracting #0: cost 1 inf + 0 117.016 * * [simplify]: Extracting #1: cost 3 inf + 0 117.016 * * [simplify]: Extracting #2: cost 19 inf + 0 117.016 * * [simplify]: Extracting #3: cost 235 inf + 0 117.018 * * [simplify]: Extracting #4: cost 448 inf + 746 117.023 * * [simplify]: Extracting #5: cost 454 inf + 19933 117.048 * * [simplify]: Extracting #6: cost 207 inf + 92111 117.092 * * [simplify]: Extracting #7: cost 15 inf + 175848 117.167 * * [simplify]: Extracting #8: cost 0 inf + 181873 117.212 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) 117.213 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 117.213 * * * * [progress]: [ 142 / 4754 ] simplifiying candidate # 117.214 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 117.214 * * [simplify]: iters left: 6 (31 enodes) 117.232 * * [simplify]: iters left: 5 (140 enodes) 117.267 * * [simplify]: iters left: 4 (410 enodes) 117.570 * * [simplify]: Extracting #0: cost 1 inf + 0 117.570 * * [simplify]: Extracting #1: cost 3 inf + 0 117.570 * * [simplify]: Extracting #2: cost 26 inf + 0 117.571 * * [simplify]: Extracting #3: cost 299 inf + 0 117.576 * * [simplify]: Extracting #4: cost 756 inf + 539 117.582 * * [simplify]: Extracting #5: cost 698 inf + 23106 117.604 * * [simplify]: Extracting #6: cost 493 inf + 77057 117.635 * * [simplify]: Extracting #7: cost 345 inf + 129812 117.722 * * [simplify]: Extracting #8: cost 24 inf + 274425 117.846 * * [simplify]: Extracting #9: cost 0 inf + 286945 117.969 * * [simplify]: Extracting #10: cost 0 inf + 286865 118.092 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 118.092 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 118.093 * * * * [progress]: [ 143 / 4754 ] simplifiying candidate # 118.093 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 118.094 * * [simplify]: iters left: 6 (32 enodes) 118.108 * * [simplify]: iters left: 5 (149 enodes) 118.144 * * [simplify]: iters left: 4 (443 enodes) 118.504 * * [simplify]: Extracting #0: cost 1 inf + 0 118.504 * * [simplify]: Extracting #1: cost 3 inf + 0 118.504 * * [simplify]: Extracting #2: cost 22 inf + 0 118.505 * * [simplify]: Extracting #3: cost 297 inf + 0 118.509 * * [simplify]: Extracting #4: cost 725 inf + 212 118.519 * * [simplify]: Extracting #5: cost 794 inf + 13274 118.546 * * [simplify]: Extracting #6: cost 557 inf + 69631 118.608 * * [simplify]: Extracting #7: cost 327 inf + 152616 118.696 * * [simplify]: Extracting #8: cost 14 inf + 288722 118.760 * * [simplify]: Extracting #9: cost 0 inf + 291872 118.868 * * [simplify]: Extracting #10: cost 0 inf + 291832 118.946 * [simplify]: Simplified to (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 118.946 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 118.946 * * * * [progress]: [ 144 / 4754 ] simplifiying candidate # 118.946 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 118.946 * * [simplify]: iters left: 6 (32 enodes) 118.962 * * [simplify]: iters left: 5 (149 enodes) 119.001 * * [simplify]: iters left: 4 (441 enodes) 119.374 * * [simplify]: Extracting #0: cost 1 inf + 0 119.374 * * [simplify]: Extracting #1: cost 3 inf + 0 119.374 * * [simplify]: Extracting #2: cost 26 inf + 0 119.375 * * [simplify]: Extracting #3: cost 341 inf + 0 119.380 * * [simplify]: Extracting #4: cost 751 inf + 1605 119.390 * * [simplify]: Extracting #5: cost 680 inf + 34309 119.405 * * [simplify]: Extracting #6: cost 486 inf + 81626 119.448 * * [simplify]: Extracting #7: cost 311 inf + 143754 119.530 * * [simplify]: Extracting #8: cost 42 inf + 255549 119.623 * * [simplify]: Extracting #9: cost 0 inf + 272959 119.721 * * [simplify]: Extracting #10: cost 0 inf + 272919 119.802 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) 119.802 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 119.803 * * * * [progress]: [ 145 / 4754 ] simplifiying candidate # 119.803 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 119.803 * * [simplify]: iters left: 6 (25 enodes) 119.817 * * [simplify]: iters left: 5 (108 enodes) 119.857 * * [simplify]: iters left: 4 (312 enodes) 120.046 * * [simplify]: Extracting #0: cost 1 inf + 0 120.047 * * [simplify]: Extracting #1: cost 3 inf + 0 120.047 * * [simplify]: Extracting #2: cost 22 inf + 0 120.047 * * [simplify]: Extracting #3: cost 228 inf + 0 120.049 * * [simplify]: Extracting #4: cost 515 inf + 1477 120.053 * * [simplify]: Extracting #5: cost 424 inf + 21595 120.078 * * [simplify]: Extracting #6: cost 189 inf + 83504 120.147 * * [simplify]: Extracting #7: cost 3 inf + 150070 120.187 * * [simplify]: Extracting #8: cost 0 inf + 149665 120.237 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 120.237 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 120.237 * * * * [progress]: [ 146 / 4754 ] simplifiying candidate # 120.238 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 120.238 * * [simplify]: iters left: 6 (31 enodes) 120.246 * * [simplify]: iters left: 5 (141 enodes) 120.287 * * [simplify]: iters left: 4 (384 enodes) 120.512 * * [simplify]: Extracting #0: cost 1 inf + 0 120.513 * * [simplify]: Extracting #1: cost 3 inf + 0 120.513 * * [simplify]: Extracting #2: cost 22 inf + 0 120.513 * * [simplify]: Extracting #3: cost 276 inf + 0 120.515 * * [simplify]: Extracting #4: cost 582 inf + 910 120.520 * * [simplify]: Extracting #5: cost 558 inf + 19642 120.549 * * [simplify]: Extracting #6: cost 271 inf + 106412 120.617 * * [simplify]: Extracting #7: cost 9 inf + 209379 120.684 * * [simplify]: Extracting #8: cost 0 inf + 213658 120.750 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 120.751 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 120.751 * * * * [progress]: [ 147 / 4754 ] simplifiying candidate # 120.752 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 120.752 * * [simplify]: iters left: 6 (25 enodes) 120.763 * * [simplify]: iters left: 5 (108 enodes) 120.799 * * [simplify]: iters left: 4 (303 enodes) 120.983 * * [simplify]: Extracting #0: cost 1 inf + 0 120.983 * * [simplify]: Extracting #1: cost 3 inf + 0 120.983 * * [simplify]: Extracting #2: cost 16 inf + 0 120.983 * * [simplify]: Extracting #3: cost 213 inf + 0 120.985 * * [simplify]: Extracting #4: cost 424 inf + 1159 120.989 * * [simplify]: Extracting #5: cost 381 inf + 16791 120.997 * * [simplify]: Extracting #6: cost 283 inf + 31892 121.010 * * [simplify]: Extracting #7: cost 175 inf + 67339 121.038 * * [simplify]: Extracting #8: cost 5 inf + 128715 121.075 * * [simplify]: Extracting #9: cost 0 inf + 130280 121.104 * * [simplify]: Extracting #10: cost 0 inf + 130240 121.142 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 121.142 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 121.142 * * * * [progress]: [ 148 / 4754 ] simplifiying candidate # 121.143 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 121.143 * * [simplify]: iters left: 6 (31 enodes) 121.152 * * [simplify]: iters left: 5 (141 enodes) 121.211 * * [simplify]: iters left: 4 (384 enodes) 121.488 * * [simplify]: Extracting #0: cost 1 inf + 0 121.488 * * [simplify]: Extracting #1: cost 3 inf + 0 121.488 * * [simplify]: Extracting #2: cost 22 inf + 0 121.489 * * [simplify]: Extracting #3: cost 260 inf + 0 121.492 * * [simplify]: Extracting #4: cost 549 inf + 500 121.502 * * [simplify]: Extracting #5: cost 568 inf + 16697 121.525 * * [simplify]: Extracting #6: cost 312 inf + 92095 121.584 * * [simplify]: Extracting #7: cost 21 inf + 206165 121.653 * * [simplify]: Extracting #8: cost 2 inf + 212730 121.730 * * [simplify]: Extracting #9: cost 0 inf + 213154 121.798 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 121.798 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 121.799 * * * * [progress]: [ 149 / 4754 ] simplifiying candidate # 121.799 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 121.800 * * [simplify]: iters left: 6 (25 enodes) 121.813 * * [simplify]: iters left: 5 (108 enodes) 121.843 * * [simplify]: iters left: 4 (303 enodes) 122.693 * * [simplify]: Extracting #0: cost 1 inf + 0 122.693 * * [simplify]: Extracting #1: cost 3 inf + 0 122.693 * * [simplify]: Extracting #2: cost 16 inf + 0 122.694 * * [simplify]: Extracting #3: cost 209 inf + 0 122.697 * * [simplify]: Extracting #4: cost 428 inf + 502 122.705 * * [simplify]: Extracting #5: cost 395 inf + 14799 122.730 * * [simplify]: Extracting #6: cost 181 inf + 66742 122.789 * * [simplify]: Extracting #7: cost 8 inf + 127398 122.845 * * [simplify]: Extracting #8: cost 0 inf + 130318 122.902 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 122.902 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 122.902 * * * * [progress]: [ 150 / 4754 ] simplifiying candidate # 122.903 * [simplify]: Simplifying (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 122.903 * * [simplify]: iters left: 6 (18 enodes) 122.914 * * [simplify]: iters left: 5 (84 enodes) 122.941 * * [simplify]: iters left: 4 (228 enodes) 123.075 * * [simplify]: Extracting #0: cost 1 inf + 0 123.075 * * [simplify]: Extracting #1: cost 3 inf + 0 123.076 * * [simplify]: Extracting #2: cost 6 inf + 0 123.076 * * [simplify]: Extracting #3: cost 73 inf + 0 123.076 * * [simplify]: Extracting #4: cost 265 inf + 2 123.078 * * [simplify]: Extracting #5: cost 286 inf + 1801 123.083 * * [simplify]: Extracting #6: cost 166 inf + 30220 123.103 * * [simplify]: Extracting #7: cost 30 inf + 75376 123.126 * * [simplify]: Extracting #8: cost 0 inf + 85577 123.169 * * [simplify]: Extracting #9: cost 0 inf + 85246 123.211 * [simplify]: Simplified to (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 123.211 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 123.212 * * * * [progress]: [ 151 / 4754 ] simplifiying candidate # 123.213 * [simplify]: Simplifying (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 123.213 * * [simplify]: iters left: 6 (17 enodes) 123.222 * * [simplify]: iters left: 5 (77 enodes) 123.253 * * [simplify]: iters left: 4 (210 enodes) 123.366 * * [simplify]: Extracting #0: cost 1 inf + 0 123.366 * * [simplify]: Extracting #1: cost 3 inf + 0 123.366 * * [simplify]: Extracting #2: cost 25 inf + 0 123.366 * * [simplify]: Extracting #3: cost 107 inf + 0 123.367 * * [simplify]: Extracting #4: cost 254 inf + 44 123.368 * * [simplify]: Extracting #5: cost 259 inf + 2051 123.371 * * [simplify]: Extracting #6: cost 192 inf + 11834 123.383 * * [simplify]: Extracting #7: cost 126 inf + 29341 123.412 * * [simplify]: Extracting #8: cost 21 inf + 64809 123.450 * * [simplify]: Extracting #9: cost 0 inf + 72332 123.469 * [simplify]: Simplified to (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 123.469 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (/ (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 123.470 * * * * [progress]: [ 152 / 4754 ] simplifiying candidate # 123.470 * * * * [progress]: [ 153 / 4754 ] simplifiying candidate # 123.470 * * * * [progress]: [ 154 / 4754 ] simplifiying candidate # 123.470 * * * * [progress]: [ 155 / 4754 ] simplifiying candidate # 123.470 * * * * [progress]: [ 156 / 4754 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))> 123.470 * * * * [progress]: [ 157 / 4754 ] simplifiying candidate # 123.470 * * * * [progress]: [ 158 / 4754 ] simplifiying candidate # 123.470 * * * * [progress]: [ 159 / 4754 ] simplifiying candidate # 123.471 * * * * [progress]: [ 160 / 4754 ] simplifiying candidate # 123.471 * * * * [progress]: [ 161 / 4754 ] simplifiying candidate # 123.471 * [simplify]: Simplifying (cbrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 123.471 * * [simplify]: iters left: 6 (17 enodes) 123.475 * * [simplify]: iters left: 5 (65 enodes) 123.486 * * [simplify]: iters left: 4 (114 enodes) 123.521 * * [simplify]: iters left: 3 (315 enodes) 123.650 * * [simplify]: Extracting #0: cost 1 inf + 0 123.650 * * [simplify]: Extracting #1: cost 3 inf + 0 123.650 * * [simplify]: Extracting #2: cost 5 inf + 0 123.650 * * [simplify]: Extracting #3: cost 7 inf + 0 123.650 * * [simplify]: Extracting #4: cost 23 inf + 0 123.650 * * [simplify]: Extracting #5: cost 145 inf + 0 123.651 * * [simplify]: Extracting #6: cost 203 inf + 85 123.652 * * [simplify]: Extracting #7: cost 204 inf + 2288 123.655 * * [simplify]: Extracting #8: cost 147 inf + 12694 123.664 * * [simplify]: Extracting #9: cost 23 inf + 51092 123.676 * * [simplify]: Extracting #10: cost 0 inf + 57898 123.691 * [simplify]: Simplified to (cbrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 123.691 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (* (cbrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 123.692 * * * * [progress]: [ 162 / 4754 ] simplifiying candidate # 123.692 * [simplify]: Simplifying (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 123.692 * * [simplify]: iters left: 6 (16 enodes) 123.696 * * [simplify]: iters left: 5 (62 enodes) 123.706 * * [simplify]: iters left: 4 (111 enodes) 123.731 * * [simplify]: iters left: 3 (312 enodes) 123.890 * * [simplify]: Extracting #0: cost 1 inf + 0 123.890 * * [simplify]: Extracting #1: cost 3 inf + 0 123.890 * * [simplify]: Extracting #2: cost 5 inf + 0 123.890 * * [simplify]: Extracting #3: cost 21 inf + 0 123.891 * * [simplify]: Extracting #4: cost 139 inf + 0 123.891 * * [simplify]: Extracting #5: cost 199 inf + 44 123.892 * * [simplify]: Extracting #6: cost 199 inf + 1968 123.895 * * [simplify]: Extracting #7: cost 131 inf + 14187 123.904 * * [simplify]: Extracting #8: cost 26 inf + 45766 123.917 * * [simplify]: Extracting #9: cost 0 inf + 55975 123.934 * [simplify]: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 123.934 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 123.935 * * * * [progress]: [ 163 / 4754 ] simplifiying candidate # 123.935 * [simplify]: Simplifying (cbrt 1) 123.935 * * [simplify]: iters left: 1 (2 enodes) 123.938 * * [simplify]: Extracting #0: cost 1 inf + 0 123.938 * * [simplify]: Extracting #1: cost 0 inf + 1 123.938 * [simplify]: Simplified to 1 123.938 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (* 1 (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 123.941 * * * * [progress]: [ 164 / 4754 ] simplifiying candidate # 123.942 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 123.942 * * [simplify]: iters left: 6 (34 enodes) 123.960 * * [simplify]: iters left: 5 (173 enodes) 124.005 * * [simplify]: Extracting #0: cost 1 inf + 0 124.005 * * [simplify]: Extracting #1: cost 3 inf + 0 124.005 * * [simplify]: Extracting #2: cost 6 inf + 0 124.005 * * [simplify]: Extracting #3: cost 60 inf + 0 124.005 * * [simplify]: Extracting #4: cost 168 inf + 0 124.006 * * [simplify]: Extracting #5: cost 241 inf + 0 124.008 * * [simplify]: Extracting #6: cost 200 inf + 15564 124.016 * * [simplify]: Extracting #7: cost 63 inf + 60484 124.033 * * [simplify]: Extracting #8: cost 7 inf + 73587 124.048 * * [simplify]: Extracting #9: cost 0 inf + 76861 124.061 * * [simplify]: Extracting #10: cost 0 inf + 76541 124.085 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 124.085 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 124.086 * * * * [progress]: [ 165 / 4754 ] simplifiying candidate # 124.086 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 124.087 * * [simplify]: iters left: 6 (35 enodes) 124.105 * * [simplify]: iters left: 5 (178 enodes) 124.189 * * [simplify]: Extracting #0: cost 1 inf + 0 124.189 * * [simplify]: Extracting #1: cost 3 inf + 0 124.189 * * [simplify]: Extracting #2: cost 6 inf + 0 124.189 * * [simplify]: Extracting #3: cost 58 inf + 0 124.189 * * [simplify]: Extracting #4: cost 172 inf + 0 124.191 * * [simplify]: Extracting #5: cost 235 inf + 85 124.194 * * [simplify]: Extracting #6: cost 191 inf + 15306 124.208 * * [simplify]: Extracting #7: cost 74 inf + 52611 124.220 * * [simplify]: Extracting #8: cost 8 inf + 66818 124.234 * * [simplify]: Extracting #9: cost 0 inf + 71375 124.257 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 124.257 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 124.258 * * * * [progress]: [ 166 / 4754 ] simplifiying candidate # 124.258 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 124.259 * * [simplify]: iters left: 6 (35 enodes) 124.271 * * [simplify]: iters left: 5 (178 enodes) 124.326 * * [simplify]: Extracting #0: cost 1 inf + 0 124.326 * * [simplify]: Extracting #1: cost 3 inf + 0 124.326 * * [simplify]: Extracting #2: cost 6 inf + 0 124.326 * * [simplify]: Extracting #3: cost 60 inf + 0 124.327 * * [simplify]: Extracting #4: cost 170 inf + 0 124.328 * * [simplify]: Extracting #5: cost 230 inf + 166 124.330 * * [simplify]: Extracting #6: cost 178 inf + 14825 124.337 * * [simplify]: Extracting #7: cost 44 inf + 55372 124.349 * * [simplify]: Extracting #8: cost 5 inf + 67005 124.363 * * [simplify]: Extracting #9: cost 0 inf + 69007 124.377 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 124.377 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 124.378 * * * * [progress]: [ 167 / 4754 ] simplifiying candidate # 124.378 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 124.378 * * [simplify]: iters left: 6 (29 enodes) 124.386 * * [simplify]: iters left: 5 (146 enodes) 124.441 * * [simplify]: iters left: 4 (476 enodes) 124.802 * * [simplify]: Extracting #0: cost 1 inf + 0 124.802 * * [simplify]: Extracting #1: cost 3 inf + 0 124.802 * * [simplify]: Extracting #2: cost 20 inf + 0 124.803 * * [simplify]: Extracting #3: cost 282 inf + 0 124.805 * * [simplify]: Extracting #4: cost 726 inf + 742 124.810 * * [simplify]: Extracting #5: cost 770 inf + 17733 124.833 * * [simplify]: Extracting #6: cost 517 inf + 82722 124.871 * * [simplify]: Extracting #7: cost 303 inf + 151104 124.921 * * [simplify]: Extracting #8: cost 65 inf + 252227 124.985 * * [simplify]: Extracting #9: cost 1 inf + 285417 125.106 * * [simplify]: Extracting #10: cost 0 inf + 285842 125.193 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) 125.193 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 125.194 * * * * [progress]: [ 168 / 4754 ] simplifiying candidate # 125.194 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 125.195 * * [simplify]: iters left: 6 (34 enodes) 125.214 * * [simplify]: iters left: 5 (170 enodes) 125.263 * * [simplify]: Extracting #0: cost 1 inf + 0 125.263 * * [simplify]: Extracting #1: cost 3 inf + 0 125.263 * * [simplify]: Extracting #2: cost 10 inf + 0 125.263 * * [simplify]: Extracting #3: cost 78 inf + 0 125.264 * * [simplify]: Extracting #4: cost 160 inf + 42 125.264 * * [simplify]: Extracting #5: cost 207 inf + 207 125.266 * * [simplify]: Extracting #6: cost 166 inf + 14735 125.274 * * [simplify]: Extracting #7: cost 33 inf + 63766 125.289 * * [simplify]: Extracting #8: cost 1 inf + 64140 125.311 * * [simplify]: Extracting #9: cost 0 inf + 64192 125.333 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 125.334 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 125.335 * * * * [progress]: [ 169 / 4754 ] simplifiying candidate # 125.335 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 125.337 * * [simplify]: iters left: 6 (29 enodes) 125.345 * * [simplify]: iters left: 5 (142 enodes) 125.375 * * [simplify]: iters left: 4 (432 enodes) 125.634 * * [simplify]: Extracting #0: cost 1 inf + 0 125.634 * * [simplify]: Extracting #1: cost 3 inf + 0 125.634 * * [simplify]: Extracting #2: cost 15 inf + 0 125.634 * * [simplify]: Extracting #3: cost 195 inf + 0 125.636 * * [simplify]: Extracting #4: cost 515 inf + 87 125.641 * * [simplify]: Extracting #5: cost 632 inf + 21089 125.682 * * [simplify]: Extracting #6: cost 283 inf + 117143 125.745 * * [simplify]: Extracting #7: cost 209 inf + 136236 125.784 * * [simplify]: Extracting #8: cost 81 inf + 191013 125.875 * * [simplify]: Extracting #9: cost 4 inf + 230272 125.963 * * [simplify]: Extracting #10: cost 1 inf + 232627 126.062 * * [simplify]: Extracting #11: cost 0 inf + 233532 126.149 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 126.149 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 126.149 * * * * [progress]: [ 170 / 4754 ] simplifiying candidate # 126.151 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 126.151 * * [simplify]: iters left: 6 (34 enodes) 126.170 * * [simplify]: iters left: 5 (170 enodes) 126.250 * * [simplify]: Extracting #0: cost 1 inf + 0 126.250 * * [simplify]: Extracting #1: cost 3 inf + 0 126.250 * * [simplify]: Extracting #2: cost 10 inf + 0 126.251 * * [simplify]: Extracting #3: cost 78 inf + 0 126.251 * * [simplify]: Extracting #4: cost 160 inf + 42 126.252 * * [simplify]: Extracting #5: cost 207 inf + 207 126.254 * * [simplify]: Extracting #6: cost 166 inf + 14947 126.262 * * [simplify]: Extracting #7: cost 31 inf + 64800 126.274 * * [simplify]: Extracting #8: cost 1 inf + 64700 126.291 * * [simplify]: Extracting #9: cost 0 inf + 64832 126.313 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 126.313 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 126.314 * * * * [progress]: [ 171 / 4754 ] simplifiying candidate # 126.315 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 126.315 * * [simplify]: iters left: 6 (29 enodes) 126.324 * * [simplify]: iters left: 5 (142 enodes) 126.354 * * [simplify]: iters left: 4 (432 enodes) 126.648 * * [simplify]: Extracting #0: cost 1 inf + 0 126.648 * * [simplify]: Extracting #1: cost 3 inf + 0 126.648 * * [simplify]: Extracting #2: cost 15 inf + 0 126.648 * * [simplify]: Extracting #3: cost 197 inf + 0 126.651 * * [simplify]: Extracting #4: cost 523 inf + 128 126.657 * * [simplify]: Extracting #5: cost 683 inf + 5697 126.673 * * [simplify]: Extracting #6: cost 530 inf + 35960 126.724 * * [simplify]: Extracting #7: cost 270 inf + 116504 126.793 * * [simplify]: Extracting #8: cost 54 inf + 209065 126.851 * * [simplify]: Extracting #9: cost 2 inf + 234384 126.916 * * [simplify]: Extracting #10: cost 0 inf + 236034 126.984 * * [simplify]: Extracting #11: cost 0 inf + 235994 127.081 * [simplify]: Simplified to (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 127.081 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 127.082 * * * * [progress]: [ 172 / 4754 ] simplifiying candidate # 127.082 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 127.083 * * [simplify]: iters left: 6 (37 enodes) 127.102 * * [simplify]: iters left: 5 (182 enodes) 127.151 * * [simplify]: Extracting #0: cost 1 inf + 0 127.151 * * [simplify]: Extracting #1: cost 3 inf + 0 127.151 * * [simplify]: Extracting #2: cost 6 inf + 0 127.151 * * [simplify]: Extracting #3: cost 56 inf + 0 127.152 * * [simplify]: Extracting #4: cost 166 inf + 0 127.153 * * [simplify]: Extracting #5: cost 231 inf + 44 127.156 * * [simplify]: Extracting #6: cost 190 inf + 12089 127.170 * * [simplify]: Extracting #7: cost 64 inf + 47883 127.195 * * [simplify]: Extracting #8: cost 2 inf + 73741 127.220 * * [simplify]: Extracting #9: cost 0 inf + 74698 127.245 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 127.246 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 127.247 * * * * [progress]: [ 173 / 4754 ] simplifiying candidate # 127.247 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 127.247 * * [simplify]: iters left: 6 (38 enodes) 127.267 * * [simplify]: iters left: 5 (191 enodes) 127.351 * * [simplify]: Extracting #0: cost 1 inf + 0 127.352 * * [simplify]: Extracting #1: cost 3 inf + 0 127.352 * * [simplify]: Extracting #2: cost 6 inf + 0 127.352 * * [simplify]: Extracting #3: cost 60 inf + 0 127.353 * * [simplify]: Extracting #4: cost 189 inf + 0 127.355 * * [simplify]: Extracting #5: cost 232 inf + 1029 127.360 * * [simplify]: Extracting #6: cost 133 inf + 17447 127.374 * * [simplify]: Extracting #7: cost 53 inf + 47217 127.397 * * [simplify]: Extracting #8: cost 5 inf + 69656 127.422 * * [simplify]: Extracting #9: cost 1 inf + 71730 127.443 * * [simplify]: Extracting #10: cost 0 inf + 72995 127.456 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 127.456 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 127.456 * * * * [progress]: [ 174 / 4754 ] simplifiying candidate # 127.457 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 127.457 * * [simplify]: iters left: 6 (38 enodes) 127.470 * * [simplify]: iters left: 5 (191 enodes) 127.528 * * [simplify]: Extracting #0: cost 1 inf + 0 127.528 * * [simplify]: Extracting #1: cost 3 inf + 0 127.528 * * [simplify]: Extracting #2: cost 6 inf + 0 127.529 * * [simplify]: Extracting #3: cost 62 inf + 0 127.529 * * [simplify]: Extracting #4: cost 187 inf + 0 127.531 * * [simplify]: Extracting #5: cost 226 inf + 1393 127.536 * * [simplify]: Extracting #6: cost 142 inf + 13891 127.548 * * [simplify]: Extracting #7: cost 72 inf + 39771 127.571 * * [simplify]: Extracting #8: cost 6 inf + 67983 127.591 * * [simplify]: Extracting #9: cost 0 inf + 70467 127.603 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 127.603 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 127.604 * * * * [progress]: [ 175 / 4754 ] simplifiying candidate # 127.604 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 127.605 * * [simplify]: iters left: 6 (32 enodes) 127.613 * * [simplify]: iters left: 5 (155 enodes) 127.650 * * [simplify]: iters left: 4 (464 enodes) 127.983 * * [simplify]: Extracting #0: cost 1 inf + 0 127.983 * * [simplify]: Extracting #1: cost 3 inf + 0 127.983 * * [simplify]: Extracting #2: cost 20 inf + 0 127.984 * * [simplify]: Extracting #3: cost 271 inf + 0 127.986 * * [simplify]: Extracting #4: cost 679 inf + 541 127.992 * * [simplify]: Extracting #5: cost 615 inf + 27466 128.014 * * [simplify]: Extracting #6: cost 386 inf + 90869 128.058 * * [simplify]: Extracting #7: cost 323 inf + 110848 128.111 * * [simplify]: Extracting #8: cost 107 inf + 199300 128.186 * * [simplify]: Extracting #9: cost 5 inf + 248762 128.268 * * [simplify]: Extracting #10: cost 0 inf + 251607 128.341 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) 128.341 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 128.342 * * * * [progress]: [ 176 / 4754 ] simplifiying candidate # 128.342 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 128.342 * * [simplify]: iters left: 6 (37 enodes) 128.356 * * [simplify]: iters left: 5 (183 enodes) 128.418 * * [simplify]: Extracting #0: cost 1 inf + 0 128.418 * * [simplify]: Extracting #1: cost 3 inf + 0 128.418 * * [simplify]: Extracting #2: cost 10 inf + 0 128.418 * * [simplify]: Extracting #3: cost 78 inf + 0 128.419 * * [simplify]: Extracting #4: cost 176 inf + 1 128.420 * * [simplify]: Extracting #5: cost 212 inf + 334 128.423 * * [simplify]: Extracting #6: cost 163 inf + 12709 128.439 * * [simplify]: Extracting #7: cost 53 inf + 46819 128.459 * * [simplify]: Extracting #8: cost 7 inf + 62671 128.479 * * [simplify]: Extracting #9: cost 1 inf + 66942 128.491 * * [simplify]: Extracting #10: cost 0 inf + 68207 128.503 * [simplify]: Simplified to (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 128.503 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 128.504 * * * * [progress]: [ 177 / 4754 ] simplifiying candidate # 128.504 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 128.504 * * [simplify]: iters left: 6 (32 enodes) 128.520 * * [simplify]: iters left: 5 (155 enodes) 128.561 * * [simplify]: iters left: 4 (457 enodes) 128.817 * * [simplify]: Extracting #0: cost 1 inf + 0 128.817 * * [simplify]: Extracting #1: cost 3 inf + 0 128.817 * * [simplify]: Extracting #2: cost 14 inf + 0 128.818 * * [simplify]: Extracting #3: cost 237 inf + 0 128.820 * * [simplify]: Extracting #4: cost 632 inf + 128 128.824 * * [simplify]: Extracting #5: cost 679 inf + 12534 128.847 * * [simplify]: Extracting #6: cost 423 inf + 80957 128.885 * * [simplify]: Extracting #7: cost 271 inf + 125391 128.942 * * [simplify]: Extracting #8: cost 51 inf + 216963 129.032 * * [simplify]: Extracting #9: cost 0 inf + 242861 129.104 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 129.104 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 129.105 * * * * [progress]: [ 178 / 4754 ] simplifiying candidate # 129.105 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 129.106 * * [simplify]: iters left: 6 (37 enodes) 129.128 * * [simplify]: iters left: 5 (183 enodes) 129.171 * * [simplify]: Extracting #0: cost 1 inf + 0 129.171 * * [simplify]: Extracting #1: cost 3 inf + 0 129.171 * * [simplify]: Extracting #2: cost 10 inf + 0 129.171 * * [simplify]: Extracting #3: cost 78 inf + 0 129.172 * * [simplify]: Extracting #4: cost 176 inf + 1 129.173 * * [simplify]: Extracting #5: cost 215 inf + 170 129.177 * * [simplify]: Extracting #6: cost 166 inf + 13436 129.191 * * [simplify]: Extracting #7: cost 45 inf + 55066 129.217 * * [simplify]: Extracting #8: cost 8 inf + 63061 129.238 * * [simplify]: Extracting #9: cost 1 inf + 67822 129.250 * * [simplify]: Extracting #10: cost 0 inf + 69087 129.267 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 129.267 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 129.268 * * * * [progress]: [ 179 / 4754 ] simplifiying candidate # 129.268 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 129.268 * * [simplify]: iters left: 6 (32 enodes) 129.286 * * [simplify]: iters left: 5 (155 enodes) 129.328 * * [simplify]: iters left: 4 (457 enodes) 129.635 * * [simplify]: Extracting #0: cost 1 inf + 0 129.635 * * [simplify]: Extracting #1: cost 3 inf + 0 129.635 * * [simplify]: Extracting #2: cost 14 inf + 0 129.636 * * [simplify]: Extracting #3: cost 234 inf + 0 129.638 * * [simplify]: Extracting #4: cost 640 inf + 45 129.642 * * [simplify]: Extracting #5: cost 706 inf + 8507 129.654 * * [simplify]: Extracting #6: cost 477 inf + 63722 129.702 * * [simplify]: Extracting #7: cost 281 inf + 124602 129.768 * * [simplify]: Extracting #8: cost 63 inf + 216967 129.855 * * [simplify]: Extracting #9: cost 0 inf + 248511 129.930 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 129.930 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 129.931 * * * * [progress]: [ 180 / 4754 ] simplifiying candidate # 129.931 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 129.932 * * [simplify]: iters left: 6 (37 enodes) 129.952 * * [simplify]: iters left: 5 (182 enodes) 130.002 * * [simplify]: Extracting #0: cost 1 inf + 0 130.002 * * [simplify]: Extracting #1: cost 3 inf + 0 130.002 * * [simplify]: Extracting #2: cost 6 inf + 0 130.002 * * [simplify]: Extracting #3: cost 56 inf + 0 130.002 * * [simplify]: Extracting #4: cost 162 inf + 0 130.004 * * [simplify]: Extracting #5: cost 218 inf + 370 130.006 * * [simplify]: Extracting #6: cost 179 inf + 5338 130.015 * * [simplify]: Extracting #7: cost 98 inf + 24016 130.025 * * [simplify]: Extracting #8: cost 27 inf + 55151 130.037 * * [simplify]: Extracting #9: cost 0 inf + 71450 130.060 * [simplify]: Simplified to (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 130.060 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 130.061 * * * * [progress]: [ 181 / 4754 ] simplifiying candidate # 130.061 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 130.062 * * [simplify]: iters left: 6 (38 enodes) 130.082 * * [simplify]: iters left: 5 (191 enodes) 130.148 * * [simplify]: Extracting #0: cost 1 inf + 0 130.148 * * [simplify]: Extracting #1: cost 3 inf + 0 130.148 * * [simplify]: Extracting #2: cost 6 inf + 0 130.148 * * [simplify]: Extracting #3: cost 60 inf + 0 130.148 * * [simplify]: Extracting #4: cost 185 inf + 0 130.149 * * [simplify]: Extracting #5: cost 220 inf + 1235 130.152 * * [simplify]: Extracting #6: cost 132 inf + 15760 130.167 * * [simplify]: Extracting #7: cost 57 inf + 42966 130.191 * * [simplify]: Extracting #8: cost 5 inf + 69821 130.217 * * [simplify]: Extracting #9: cost 1 inf + 71722 130.242 * * [simplify]: Extracting #10: cost 0 inf + 72987 130.266 * [simplify]: Simplified to (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) 130.266 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 130.267 * * * * [progress]: [ 182 / 4754 ] simplifiying candidate # 130.268 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 130.268 * * [simplify]: iters left: 6 (38 enodes) 130.289 * * [simplify]: iters left: 5 (191 enodes) 130.344 * * [simplify]: Extracting #0: cost 1 inf + 0 130.344 * * [simplify]: Extracting #1: cost 3 inf + 0 130.344 * * [simplify]: Extracting #2: cost 6 inf + 0 130.344 * * [simplify]: Extracting #3: cost 62 inf + 0 130.345 * * [simplify]: Extracting #4: cost 183 inf + 0 130.346 * * [simplify]: Extracting #5: cost 224 inf + 701 130.351 * * [simplify]: Extracting #6: cost 166 inf + 13650 130.366 * * [simplify]: Extracting #7: cost 60 inf + 48793 130.378 * * [simplify]: Extracting #8: cost 3 inf + 67365 130.390 * * [simplify]: Extracting #9: cost 0 inf + 70219 130.404 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 130.404 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 130.405 * * * * [progress]: [ 183 / 4754 ] simplifiying candidate # 130.405 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 130.405 * * [simplify]: iters left: 6 (32 enodes) 130.414 * * [simplify]: iters left: 5 (155 enodes) 130.447 * * [simplify]: iters left: 4 (462 enodes) 130.723 * * [simplify]: Extracting #0: cost 1 inf + 0 130.723 * * [simplify]: Extracting #1: cost 3 inf + 0 130.723 * * [simplify]: Extracting #2: cost 20 inf + 0 130.724 * * [simplify]: Extracting #3: cost 284 inf + 0 130.727 * * [simplify]: Extracting #4: cost 671 inf + 1062 130.737 * * [simplify]: Extracting #5: cost 674 inf + 19261 130.756 * * [simplify]: Extracting #6: cost 467 inf + 69092 130.799 * * [simplify]: Extracting #7: cost 229 inf + 151560 130.879 * * [simplify]: Extracting #8: cost 17 inf + 250306 130.968 * * [simplify]: Extracting #9: cost 0 inf + 259699 131.036 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) 131.036 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 131.037 * * * * [progress]: [ 184 / 4754 ] simplifiying candidate # 131.037 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 131.037 * * [simplify]: iters left: 6 (37 enodes) 131.056 * * [simplify]: iters left: 5 (183 enodes) 131.137 * * [simplify]: Extracting #0: cost 1 inf + 0 131.137 * * [simplify]: Extracting #1: cost 3 inf + 0 131.137 * * [simplify]: Extracting #2: cost 10 inf + 0 131.138 * * [simplify]: Extracting #3: cost 78 inf + 0 131.138 * * [simplify]: Extracting #4: cost 172 inf + 1 131.139 * * [simplify]: Extracting #5: cost 198 inf + 742 131.140 * * [simplify]: Extracting #6: cost 147 inf + 9265 131.147 * * [simplify]: Extracting #7: cost 54 inf + 39624 131.157 * * [simplify]: Extracting #8: cost 8 inf + 59667 131.169 * * [simplify]: Extracting #9: cost 1 inf + 64414 131.180 * * [simplify]: Extracting #10: cost 0 inf + 65639 131.192 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 131.192 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 131.192 * * * * [progress]: [ 185 / 4754 ] simplifiying candidate # 131.193 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 131.193 * * [simplify]: iters left: 6 (32 enodes) 131.202 * * [simplify]: iters left: 5 (155 enodes) 131.237 * * [simplify]: iters left: 4 (455 enodes) 131.540 * * [simplify]: Extracting #0: cost 1 inf + 0 131.540 * * [simplify]: Extracting #1: cost 3 inf + 0 131.540 * * [simplify]: Extracting #2: cost 14 inf + 0 131.541 * * [simplify]: Extracting #3: cost 233 inf + 0 131.544 * * [simplify]: Extracting #4: cost 604 inf + 127 131.557 * * [simplify]: Extracting #5: cost 628 inf + 25142 131.601 * * [simplify]: Extracting #6: cost 368 inf + 88731 131.636 * * [simplify]: Extracting #7: cost 199 inf + 150808 131.707 * * [simplify]: Extracting #8: cost 17 inf + 232949 131.776 * * [simplify]: Extracting #9: cost 0 inf + 241866 131.842 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 131.842 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 131.843 * * * * [progress]: [ 186 / 4754 ] simplifiying candidate # 131.844 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 131.844 * * [simplify]: iters left: 6 (37 enodes) 131.859 * * [simplify]: iters left: 5 (183 enodes) 131.916 * * [simplify]: Extracting #0: cost 1 inf + 0 131.916 * * [simplify]: Extracting #1: cost 3 inf + 0 131.916 * * [simplify]: Extracting #2: cost 10 inf + 0 131.917 * * [simplify]: Extracting #3: cost 78 inf + 0 131.917 * * [simplify]: Extracting #4: cost 172 inf + 1 131.918 * * [simplify]: Extracting #5: cost 198 inf + 663 131.922 * * [simplify]: Extracting #6: cost 142 inf + 10199 131.936 * * [simplify]: Extracting #7: cost 39 inf + 47914 131.949 * * [simplify]: Extracting #8: cost 3 inf + 65070 131.961 * * [simplify]: Extracting #9: cost 0 inf + 66479 131.977 * * [simplify]: Extracting #10: cost 0 inf + 66439 131.992 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 131.993 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 131.993 * * * * [progress]: [ 187 / 4754 ] simplifiying candidate # 131.993 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 131.994 * * [simplify]: iters left: 6 (32 enodes) 132.002 * * [simplify]: iters left: 5 (155 enodes) 132.059 * * [simplify]: iters left: 4 (455 enodes) 132.380 * * [simplify]: Extracting #0: cost 1 inf + 0 132.380 * * [simplify]: Extracting #1: cost 3 inf + 0 132.380 * * [simplify]: Extracting #2: cost 14 inf + 0 132.381 * * [simplify]: Extracting #3: cost 227 inf + 0 132.384 * * [simplify]: Extracting #4: cost 609 inf + 44 132.394 * * [simplify]: Extracting #5: cost 658 inf + 17602 132.437 * * [simplify]: Extracting #6: cost 400 inf + 80815 132.496 * * [simplify]: Extracting #7: cost 206 inf + 148013 132.590 * * [simplify]: Extracting #8: cost 18 inf + 234349 132.683 * * [simplify]: Extracting #9: cost 0 inf + 242163 132.759 * [simplify]: Simplified to (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) 132.759 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 132.760 * * * * [progress]: [ 188 / 4754 ] simplifiying candidate # 132.760 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 132.760 * * [simplify]: iters left: 6 (30 enodes) 132.768 * * [simplify]: iters left: 5 (149 enodes) 132.814 * * [simplify]: iters left: 4 (490 enodes) 133.269 * * [simplify]: Extracting #0: cost 1 inf + 0 133.269 * * [simplify]: Extracting #1: cost 3 inf + 0 133.270 * * [simplify]: Extracting #2: cost 24 inf + 0 133.271 * * [simplify]: Extracting #3: cost 331 inf + 0 133.277 * * [simplify]: Extracting #4: cost 925 inf + 2236 133.297 * * [simplify]: Extracting #5: cost 794 inf + 50286 133.326 * * [simplify]: Extracting #6: cost 543 inf + 120259 133.374 * * [simplify]: Extracting #7: cost 354 inf + 194705 133.471 * * [simplify]: Extracting #8: cost 26 inf + 345507 133.568 * * [simplify]: Extracting #9: cost 0 inf + 359115 133.647 * * [simplify]: Extracting #10: cost 0 inf + 358955 133.726 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 133.726 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 133.726 * * * * [progress]: [ 189 / 4754 ] simplifiying candidate # 133.727 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 133.727 * * [simplify]: iters left: 6 (31 enodes) 133.735 * * [simplify]: iters left: 5 (154 enodes) 133.773 * * [simplify]: iters left: 4 (484 enodes) 134.060 * * [simplify]: Extracting #0: cost 1 inf + 0 134.060 * * [simplify]: Extracting #1: cost 3 inf + 0 134.060 * * [simplify]: Extracting #2: cost 20 inf + 0 134.061 * * [simplify]: Extracting #3: cost 331 inf + 0 134.066 * * [simplify]: Extracting #4: cost 822 inf + 253 134.076 * * [simplify]: Extracting #5: cost 905 inf + 17938 134.118 * * [simplify]: Extracting #6: cost 590 inf + 95394 134.184 * * [simplify]: Extracting #7: cost 310 inf + 194967 134.265 * * [simplify]: Extracting #8: cost 23 inf + 327438 134.378 * * [simplify]: Extracting #9: cost 0 inf + 337240 134.485 * [simplify]: Simplified to (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 134.485 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 134.486 * * * * [progress]: [ 190 / 4754 ] simplifiying candidate # 134.487 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 134.487 * * [simplify]: iters left: 6 (31 enodes) 134.503 * * [simplify]: iters left: 5 (154 enodes) 134.539 * * [simplify]: iters left: 4 (482 enodes) 134.896 * * [simplify]: Extracting #0: cost 1 inf + 0 134.896 * * [simplify]: Extracting #1: cost 3 inf + 0 134.896 * * [simplify]: Extracting #2: cost 24 inf + 0 134.897 * * [simplify]: Extracting #3: cost 370 inf + 0 134.902 * * [simplify]: Extracting #4: cost 837 inf + 1477 134.925 * * [simplify]: Extracting #5: cost 703 inf + 55610 134.954 * * [simplify]: Extracting #6: cost 467 inf + 121953 134.995 * * [simplify]: Extracting #7: cost 298 inf + 180615 135.070 * * [simplify]: Extracting #8: cost 16 inf + 305828 135.181 * * [simplify]: Extracting #9: cost 0 inf + 312788 135.255 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 135.255 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 135.256 * * * * [progress]: [ 191 / 4754 ] simplifiying candidate # 135.256 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 135.256 * * [simplify]: iters left: 6 (24 enodes) 135.270 * * [simplify]: iters left: 5 (117 enodes) 135.318 * * [simplify]: iters left: 4 (388 enodes) 135.549 * * [simplify]: Extracting #0: cost 1 inf + 0 135.549 * * [simplify]: Extracting #1: cost 3 inf + 0 135.549 * * [simplify]: Extracting #2: cost 20 inf + 0 135.550 * * [simplify]: Extracting #3: cost 248 inf + 0 135.551 * * [simplify]: Extracting #4: cost 637 inf + 1109 135.558 * * [simplify]: Extracting #5: cost 543 inf + 29814 135.573 * * [simplify]: Extracting #6: cost 351 inf + 68571 135.608 * * [simplify]: Extracting #7: cost 204 inf + 114827 135.676 * * [simplify]: Extracting #8: cost 4 inf + 186294 135.741 * * [simplify]: Extracting #9: cost 0 inf + 188074 135.794 * * [simplify]: Extracting #10: cost 0 inf + 188034 135.848 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) 135.848 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 135.849 * * * * [progress]: [ 192 / 4754 ] simplifiying candidate # 135.849 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 135.849 * * [simplify]: iters left: 6 (30 enodes) 135.865 * * [simplify]: iters left: 5 (146 enodes) 135.925 * * [simplify]: iters left: 4 (429 enodes) 136.283 * * [simplify]: Extracting #0: cost 1 inf + 0 136.283 * * [simplify]: Extracting #1: cost 3 inf + 0 136.283 * * [simplify]: Extracting #2: cost 19 inf + 0 136.284 * * [simplify]: Extracting #3: cost 263 inf + 0 136.288 * * [simplify]: Extracting #4: cost 666 inf + 496 136.298 * * [simplify]: Extracting #5: cost 659 inf + 21500 136.334 * * [simplify]: Extracting #6: cost 422 inf + 79356 136.372 * * [simplify]: Extracting #7: cost 246 inf + 141305 136.432 * * [simplify]: Extracting #8: cost 21 inf + 232950 136.503 * * [simplify]: Extracting #9: cost 0 inf + 242632 136.556 * * [simplify]: Extracting #10: cost 0 inf + 242592 136.649 * [simplify]: Simplified to (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 136.649 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 136.650 * * * * [progress]: [ 193 / 4754 ] simplifiying candidate # 136.651 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 136.651 * * [simplify]: iters left: 6 (24 enodes) 136.664 * * [simplify]: iters left: 5 (113 enodes) 136.712 * * [simplify]: iters left: 4 (344 enodes) 136.941 * * [simplify]: Extracting #0: cost 1 inf + 0 136.942 * * [simplify]: Extracting #1: cost 3 inf + 0 136.942 * * [simplify]: Extracting #2: cost 14 inf + 0 136.942 * * [simplify]: Extracting #3: cost 204 inf + 0 136.943 * * [simplify]: Extracting #4: cost 514 inf + 371 136.949 * * [simplify]: Extracting #5: cost 469 inf + 22354 136.982 * * [simplify]: Extracting #6: cost 156 inf + 95679 137.019 * * [simplify]: Extracting #7: cost 5 inf + 153608 137.080 * * [simplify]: Extracting #8: cost 0 inf + 155331 137.124 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 137.124 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 137.124 * * * * [progress]: [ 194 / 4754 ] simplifiying candidate # 137.125 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 137.125 * * [simplify]: iters left: 6 (30 enodes) 137.136 * * [simplify]: iters left: 5 (146 enodes) 137.178 * * [simplify]: iters left: 4 (429 enodes) 137.484 * * [simplify]: Extracting #0: cost 1 inf + 0 137.484 * * [simplify]: Extracting #1: cost 3 inf + 0 137.484 * * [simplify]: Extracting #2: cost 19 inf + 0 137.485 * * [simplify]: Extracting #3: cost 247 inf + 0 137.489 * * [simplify]: Extracting #4: cost 626 inf + 334 137.499 * * [simplify]: Extracting #5: cost 651 inf + 20467 137.523 * * [simplify]: Extracting #6: cost 432 inf + 70944 137.557 * * [simplify]: Extracting #7: cost 279 inf + 123539 137.626 * * [simplify]: Extracting #8: cost 20 inf + 231308 137.700 * * [simplify]: Extracting #9: cost 0 inf + 239805 137.766 * * [simplify]: Extracting #10: cost 0 inf + 239765 137.848 * [simplify]: Simplified to (cbrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) 137.848 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 137.849 * * * * [progress]: [ 195 / 4754 ] simplifiying candidate # 137.849 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 137.850 * * [simplify]: iters left: 6 (24 enodes) 137.862 * * [simplify]: iters left: 5 (113 enodes) 137.891 * * [simplify]: iters left: 4 (344 enodes) 138.106 * * [simplify]: Extracting #0: cost 1 inf + 0 138.106 * * [simplify]: Extracting #1: cost 3 inf + 0 138.106 * * [simplify]: Extracting #2: cost 14 inf + 0 138.106 * * [simplify]: Extracting #3: cost 202 inf + 0 138.108 * * [simplify]: Extracting #4: cost 514 inf + 615 138.113 * * [simplify]: Extracting #5: cost 460 inf + 23934 138.138 * * [simplify]: Extracting #6: cost 160 inf + 95598 138.194 * * [simplify]: Extracting #7: cost 7 inf + 152597 138.243 * * [simplify]: Extracting #8: cost 0 inf + 155449 138.300 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 138.300 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 138.301 * * * * [progress]: [ 196 / 4754 ] simplifiying candidate # 138.301 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 138.301 * * [simplify]: iters left: 6 (35 enodes) 138.311 * * [simplify]: iters left: 5 (165 enodes) 138.352 * * [simplify]: iters left: 4 (469 enodes) 138.657 * * [simplify]: Extracting #0: cost 1 inf + 0 138.657 * * [simplify]: Extracting #1: cost 3 inf + 0 138.657 * * [simplify]: Extracting #2: cost 30 inf + 0 138.658 * * [simplify]: Extracting #3: cost 323 inf + 0 138.660 * * [simplify]: Extracting #4: cost 776 inf + 782 138.670 * * [simplify]: Extracting #5: cost 687 inf + 50669 138.701 * * [simplify]: Extracting #6: cost 497 inf + 111740 138.754 * * [simplify]: Extracting #7: cost 205 inf + 251345 138.849 * * [simplify]: Extracting #8: cost 3 inf + 357037 138.965 * * [simplify]: Extracting #9: cost 0 inf + 359592 139.059 * [simplify]: Simplified to (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 139.059 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 139.059 * * * * [progress]: [ 197 / 4754 ] simplifiying candidate # 139.060 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 139.060 * * [simplify]: iters left: 6 (36 enodes) 139.070 * * [simplify]: iters left: 5 (174 enodes) 139.115 * * [simplify]: Extracting #0: cost 1 inf + 0 139.115 * * [simplify]: Extracting #1: cost 3 inf + 0 139.115 * * [simplify]: Extracting #2: cost 6 inf + 0 139.115 * * [simplify]: Extracting #3: cost 59 inf + 0 139.116 * * [simplify]: Extracting #4: cost 164 inf + 0 139.116 * * [simplify]: Extracting #5: cost 198 inf + 293 139.118 * * [simplify]: Extracting #6: cost 159 inf + 10851 139.128 * * [simplify]: Extracting #7: cost 65 inf + 44942 139.150 * * [simplify]: Extracting #8: cost 9 inf + 60296 139.172 * * [simplify]: Extracting #9: cost 1 inf + 65301 139.194 * * [simplify]: Extracting #10: cost 0 inf + 66486 139.206 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 139.206 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 139.207 * * * * [progress]: [ 198 / 4754 ] simplifiying candidate # 139.207 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 139.207 * * [simplify]: iters left: 6 (36 enodes) 139.217 * * [simplify]: iters left: 5 (174 enodes) 139.256 * * [simplify]: Extracting #0: cost 1 inf + 0 139.257 * * [simplify]: Extracting #1: cost 3 inf + 0 139.257 * * [simplify]: Extracting #2: cost 6 inf + 0 139.257 * * [simplify]: Extracting #3: cost 61 inf + 0 139.257 * * [simplify]: Extracting #4: cost 162 inf + 0 139.258 * * [simplify]: Extracting #5: cost 193 inf + 376 139.259 * * [simplify]: Extracting #6: cost 149 inf + 9037 139.266 * * [simplify]: Extracting #7: cost 43 inf + 44092 139.277 * * [simplify]: Extracting #8: cost 4 inf + 62577 139.288 * * [simplify]: Extracting #9: cost 0 inf + 64158 139.299 * * [simplify]: Extracting #10: cost 0 inf + 64118 139.310 * [simplify]: Simplified to (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 139.310 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 139.311 * * * * [progress]: [ 199 / 4754 ] simplifiying candidate # 139.311 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 139.311 * * [simplify]: iters left: 6 (30 enodes) 139.319 * * [simplify]: iters left: 5 (138 enodes) 139.363 * * [simplify]: iters left: 4 (379 enodes) 139.546 * * [simplify]: Extracting #0: cost 1 inf + 0 139.546 * * [simplify]: Extracting #1: cost 3 inf + 0 139.546 * * [simplify]: Extracting #2: cost 26 inf + 0 139.547 * * [simplify]: Extracting #3: cost 264 inf + 0 139.550 * * [simplify]: Extracting #4: cost 532 inf + 2420 139.562 * * [simplify]: Extracting #5: cost 460 inf + 30790 139.578 * * [simplify]: Extracting #6: cost 350 inf + 59206 139.607 * * [simplify]: Extracting #7: cost 205 inf + 109251 139.683 * * [simplify]: Extracting #8: cost 14 inf + 193859 139.765 * * [simplify]: Extracting #9: cost 0 inf + 201477 139.833 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 139.833 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 139.833 * * * * [progress]: [ 200 / 4754 ] simplifiying candidate # 139.833 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 139.834 * * [simplify]: iters left: 6 (35 enodes) 139.843 * * [simplify]: iters left: 5 (166 enodes) 139.896 * * [simplify]: iters left: 4 (443 enodes) 140.222 * * [simplify]: Extracting #0: cost 1 inf + 0 140.222 * * [simplify]: Extracting #1: cost 3 inf + 0 140.222 * * [simplify]: Extracting #2: cost 24 inf + 0 140.223 * * [simplify]: Extracting #3: cost 282 inf + 0 140.227 * * [simplify]: Extracting #4: cost 577 inf + 827 140.235 * * [simplify]: Extracting #5: cost 641 inf + 12796 140.250 * * [simplify]: Extracting #6: cost 462 inf + 61370 140.289 * * [simplify]: Extracting #7: cost 207 inf + 166316 140.362 * * [simplify]: Extracting #8: cost 4 inf + 267067 140.447 * * [simplify]: Extracting #9: cost 0 inf + 271007 140.537 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 140.537 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 140.538 * * * * [progress]: [ 201 / 4754 ] simplifiying candidate # 140.538 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 140.539 * * [simplify]: iters left: 6 (30 enodes) 140.555 * * [simplify]: iters left: 5 (138 enodes) 140.586 * * [simplify]: iters left: 4 (370 enodes) 140.785 * * [simplify]: Extracting #0: cost 1 inf + 0 140.785 * * [simplify]: Extracting #1: cost 3 inf + 0 140.785 * * [simplify]: Extracting #2: cost 19 inf + 0 140.786 * * [simplify]: Extracting #3: cost 235 inf + 0 140.789 * * [simplify]: Extracting #4: cost 438 inf + 1119 140.801 * * [simplify]: Extracting #5: cost 486 inf + 15698 140.818 * * [simplify]: Extracting #6: cost 212 inf + 90906 140.866 * * [simplify]: Extracting #7: cost 29 inf + 169708 140.919 * * [simplify]: Extracting #8: cost 12 inf + 177418 140.992 * * [simplify]: Extracting #9: cost 0 inf + 183391 141.049 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) 141.049 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 141.050 * * * * [progress]: [ 202 / 4754 ] simplifiying candidate # 141.050 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 141.050 * * [simplify]: iters left: 6 (35 enodes) 141.060 * * [simplify]: iters left: 5 (166 enodes) 141.097 * * [simplify]: iters left: 4 (443 enodes) 141.339 * * [simplify]: Extracting #0: cost 1 inf + 0 141.339 * * [simplify]: Extracting #1: cost 3 inf + 0 141.339 * * [simplify]: Extracting #2: cost 24 inf + 0 141.339 * * [simplify]: Extracting #3: cost 266 inf + 0 141.341 * * [simplify]: Extracting #4: cost 536 inf + 991 141.348 * * [simplify]: Extracting #5: cost 627 inf + 15930 141.380 * * [simplify]: Extracting #6: cost 300 inf + 128169 141.434 * * [simplify]: Extracting #7: cost 94 inf + 221876 141.515 * * [simplify]: Extracting #8: cost 10 inf + 265177 141.621 * * [simplify]: Extracting #9: cost 0 inf + 270563 141.730 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 141.730 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 141.731 * * * * [progress]: [ 203 / 4754 ] simplifiying candidate # 141.731 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 141.731 * * [simplify]: iters left: 6 (30 enodes) 141.745 * * [simplify]: iters left: 5 (138 enodes) 141.779 * * [simplify]: iters left: 4 (370 enodes) 141.983 * * [simplify]: Extracting #0: cost 1 inf + 0 141.983 * * [simplify]: Extracting #1: cost 3 inf + 0 141.983 * * [simplify]: Extracting #2: cost 19 inf + 0 141.984 * * [simplify]: Extracting #3: cost 232 inf + 0 141.987 * * [simplify]: Extracting #4: cost 439 inf + 1239 141.994 * * [simplify]: Extracting #5: cost 468 inf + 18938 142.014 * * [simplify]: Extracting #6: cost 220 inf + 86371 142.060 * * [simplify]: Extracting #7: cost 39 inf + 163870 142.098 * * [simplify]: Extracting #8: cost 11 inf + 177608 142.148 * * [simplify]: Extracting #9: cost 0 inf + 183135 142.194 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) 142.194 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 142.194 * * * * [progress]: [ 204 / 4754 ] simplifiying candidate # 142.194 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 142.195 * * [simplify]: iters left: 6 (31 enodes) 142.203 * * [simplify]: iters left: 5 (140 enodes) 142.241 * * [simplify]: iters left: 4 (410 enodes) 142.575 * * [simplify]: Extracting #0: cost 1 inf + 0 142.575 * * [simplify]: Extracting #1: cost 3 inf + 0 142.575 * * [simplify]: Extracting #2: cost 26 inf + 0 142.575 * * [simplify]: Extracting #3: cost 282 inf + 0 142.578 * * [simplify]: Extracting #4: cost 736 inf + 1471 142.587 * * [simplify]: Extracting #5: cost 645 inf + 35049 142.614 * * [simplify]: Extracting #6: cost 470 inf + 81590 142.651 * * [simplify]: Extracting #7: cost 314 inf + 143034 142.733 * * [simplify]: Extracting #8: cost 31 inf + 271953 142.845 * * [simplify]: Extracting #9: cost 0 inf + 288287 142.926 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) 142.926 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 142.927 * * * * [progress]: [ 205 / 4754 ] simplifiying candidate # 142.927 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 142.928 * * [simplify]: iters left: 6 (32 enodes) 142.946 * * [simplify]: iters left: 5 (149 enodes) 143.002 * * [simplify]: iters left: 4 (443 enodes) 143.360 * * [simplify]: Extracting #0: cost 1 inf + 0 143.360 * * [simplify]: Extracting #1: cost 3 inf + 0 143.360 * * [simplify]: Extracting #2: cost 22 inf + 0 143.365 * * [simplify]: Extracting #3: cost 281 inf + 0 143.368 * * [simplify]: Extracting #4: cost 718 inf + 627 143.378 * * [simplify]: Extracting #5: cost 775 inf + 18230 143.394 * * [simplify]: Extracting #6: cost 554 inf + 72089 143.424 * * [simplify]: Extracting #7: cost 363 inf + 136536 143.504 * * [simplify]: Extracting #8: cost 48 inf + 273586 143.598 * * [simplify]: Extracting #9: cost 0 inf + 296063 143.695 * * [simplify]: Extracting #10: cost 0 inf + 295983 143.800 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 143.800 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 143.801 * * * * [progress]: [ 206 / 4754 ] simplifiying candidate # 143.801 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 143.801 * * [simplify]: iters left: 6 (32 enodes) 143.811 * * [simplify]: iters left: 5 (149 enodes) 143.861 * * [simplify]: iters left: 4 (441 enodes) 144.188 * * [simplify]: Extracting #0: cost 1 inf + 0 144.188 * * [simplify]: Extracting #1: cost 3 inf + 0 144.188 * * [simplify]: Extracting #2: cost 26 inf + 0 144.188 * * [simplify]: Extracting #3: cost 318 inf + 0 144.191 * * [simplify]: Extracting #4: cost 741 inf + 1278 144.209 * * [simplify]: Extracting #5: cost 673 inf + 32150 144.225 * * [simplify]: Extracting #6: cost 477 inf + 79251 144.259 * * [simplify]: Extracting #7: cost 289 inf + 147640 144.322 * * [simplify]: Extracting #8: cost 33 inf + 259124 144.403 * * [simplify]: Extracting #9: cost 0 inf + 276029 144.471 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) 144.471 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 144.472 * * * * [progress]: [ 207 / 4754 ] simplifiying candidate # 144.472 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 144.472 * * [simplify]: iters left: 6 (25 enodes) 144.480 * * [simplify]: iters left: 5 (108 enodes) 144.511 * * [simplify]: iters left: 4 (312 enodes) 144.734 * * [simplify]: Extracting #0: cost 1 inf + 0 144.734 * * [simplify]: Extracting #1: cost 3 inf + 0 144.734 * * [simplify]: Extracting #2: cost 22 inf + 0 144.735 * * [simplify]: Extracting #3: cost 220 inf + 0 144.738 * * [simplify]: Extracting #4: cost 524 inf + 1030 144.748 * * [simplify]: Extracting #5: cost 427 inf + 22801 144.768 * * [simplify]: Extracting #6: cost 192 inf + 85557 144.804 * * [simplify]: Extracting #7: cost 16 inf + 149030 144.849 * * [simplify]: Extracting #8: cost 0 inf + 155430 144.891 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 144.891 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 144.891 * * * * [progress]: [ 208 / 4754 ] simplifiying candidate # 144.892 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 144.892 * * [simplify]: iters left: 6 (31 enodes) 144.900 * * [simplify]: iters left: 5 (141 enodes) 144.955 * * [simplify]: iters left: 4 (384 enodes) 145.221 * * [simplify]: Extracting #0: cost 1 inf + 0 145.221 * * [simplify]: Extracting #1: cost 3 inf + 0 145.221 * * [simplify]: Extracting #2: cost 22 inf + 0 145.222 * * [simplify]: Extracting #3: cost 264 inf + 0 145.223 * * [simplify]: Extracting #4: cost 576 inf + 540 145.231 * * [simplify]: Extracting #5: cost 560 inf + 18060 145.245 * * [simplify]: Extracting #6: cost 408 inf + 52588 145.265 * * [simplify]: Extracting #7: cost 255 inf + 106888 145.347 * * [simplify]: Extracting #8: cost 8 inf + 209403 145.435 * * [simplify]: Extracting #9: cost 0 inf + 212721 145.501 * [simplify]: Simplified to (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 145.501 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 145.502 * * * * [progress]: [ 209 / 4754 ] simplifiying candidate # 145.502 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 145.502 * * [simplify]: iters left: 6 (25 enodes) 145.512 * * [simplify]: iters left: 5 (108 enodes) 145.538 * * [simplify]: iters left: 4 (303 enodes) 145.717 * * [simplify]: Extracting #0: cost 1 inf + 0 145.717 * * [simplify]: Extracting #1: cost 3 inf + 0 145.717 * * [simplify]: Extracting #2: cost 16 inf + 0 145.718 * * [simplify]: Extracting #3: cost 201 inf + 0 145.721 * * [simplify]: Extracting #4: cost 408 inf + 1117 145.728 * * [simplify]: Extracting #5: cost 392 inf + 13772 145.742 * * [simplify]: Extracting #6: cost 188 inf + 58801 145.771 * * [simplify]: Extracting #7: cost 14 inf + 121474 145.801 * * [simplify]: Extracting #8: cost 0 inf + 127744 145.838 * * [simplify]: Extracting #9: cost 0 inf + 127664 145.889 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 145.889 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 145.889 * * * * [progress]: [ 210 / 4754 ] simplifiying candidate # 145.890 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 145.890 * * [simplify]: iters left: 6 (31 enodes) 145.898 * * [simplify]: iters left: 5 (141 enodes) 145.943 * * [simplify]: iters left: 4 (384 enodes) 146.224 * * [simplify]: Extracting #0: cost 1 inf + 0 146.224 * * [simplify]: Extracting #1: cost 3 inf + 0 146.224 * * [simplify]: Extracting #2: cost 22 inf + 0 146.225 * * [simplify]: Extracting #3: cost 248 inf + 0 146.228 * * [simplify]: Extracting #4: cost 539 inf + 459 146.237 * * [simplify]: Extracting #5: cost 568 inf + 16202 146.255 * * [simplify]: Extracting #6: cost 442 inf + 39815 146.287 * * [simplify]: Extracting #7: cost 267 inf + 103956 146.344 * * [simplify]: Extracting #8: cost 7 inf + 208739 146.431 * * [simplify]: Extracting #9: cost 0 inf + 211460 146.517 * [simplify]: Simplified to (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 146.517 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 146.518 * * * * [progress]: [ 211 / 4754 ] simplifiying candidate # 146.518 * [simplify]: Simplifying (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 146.518 * * [simplify]: iters left: 6 (25 enodes) 146.531 * * [simplify]: iters left: 5 (108 enodes) 146.571 * * [simplify]: iters left: 4 (303 enodes) 146.809 * * [simplify]: Extracting #0: cost 1 inf + 0 146.809 * * [simplify]: Extracting #1: cost 3 inf + 0 146.809 * * [simplify]: Extracting #2: cost 16 inf + 0 146.810 * * [simplify]: Extracting #3: cost 198 inf + 0 146.818 * * [simplify]: Extracting #4: cost 414 inf + 749 146.827 * * [simplify]: Extracting #5: cost 387 inf + 14998 146.852 * * [simplify]: Extracting #6: cost 181 inf + 62455 146.899 * * [simplify]: Extracting #7: cost 40 inf + 110546 146.935 * * [simplify]: Extracting #8: cost 0 inf + 127746 146.969 * [simplify]: Simplified to (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 146.969 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 146.969 * * * * [progress]: [ 212 / 4754 ] simplifiying candidate # 146.970 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 146.970 * * [simplify]: iters left: 6 (35 enodes) 146.988 * * [simplify]: iters left: 5 (165 enodes) 147.033 * * [simplify]: iters left: 4 (469 enodes) 147.402 * * [simplify]: Extracting #0: cost 1 inf + 0 147.402 * * [simplify]: Extracting #1: cost 3 inf + 0 147.403 * * [simplify]: Extracting #2: cost 30 inf + 0 147.403 * * [simplify]: Extracting #3: cost 325 inf + 0 147.406 * * [simplify]: Extracting #4: cost 777 inf + 538 147.414 * * [simplify]: Extracting #5: cost 757 inf + 19893 147.438 * * [simplify]: Extracting #6: cost 566 inf + 75120 147.481 * * [simplify]: Extracting #7: cost 421 inf + 126297 147.557 * * [simplify]: Extracting #8: cost 138 inf + 266388 147.660 * * [simplify]: Extracting #9: cost 4 inf + 343351 147.756 * * [simplify]: Extracting #10: cost 0 inf + 346531 147.843 * [simplify]: Simplified to (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 147.844 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 147.844 * * * * [progress]: [ 213 / 4754 ] simplifiying candidate # 147.844 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 147.845 * * [simplify]: iters left: 6 (36 enodes) 147.863 * * [simplify]: iters left: 5 (174 enodes) 147.910 * * [simplify]: Extracting #0: cost 1 inf + 0 147.910 * * [simplify]: Extracting #1: cost 3 inf + 0 147.910 * * [simplify]: Extracting #2: cost 6 inf + 0 147.910 * * [simplify]: Extracting #3: cost 59 inf + 0 147.911 * * [simplify]: Extracting #4: cost 166 inf + 0 147.911 * * [simplify]: Extracting #5: cost 211 inf + 44 147.915 * * [simplify]: Extracting #6: cost 168 inf + 13357 147.922 * * [simplify]: Extracting #7: cost 53 inf + 51438 147.932 * * [simplify]: Extracting #8: cost 7 inf + 60593 147.942 * * [simplify]: Extracting #9: cost 1 inf + 64341 147.953 * * [simplify]: Extracting #10: cost 0 inf + 65526 147.964 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 147.964 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 147.964 * * * * [progress]: [ 214 / 4754 ] simplifiying candidate # 147.965 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 147.965 * * [simplify]: iters left: 6 (36 enodes) 147.974 * * [simplify]: iters left: 5 (174 enodes) 148.039 * * [simplify]: Extracting #0: cost 1 inf + 0 148.039 * * [simplify]: Extracting #1: cost 3 inf + 0 148.039 * * [simplify]: Extracting #2: cost 6 inf + 0 148.040 * * [simplify]: Extracting #3: cost 61 inf + 0 148.040 * * [simplify]: Extracting #4: cost 164 inf + 0 148.041 * * [simplify]: Extracting #5: cost 207 inf + 44 148.044 * * [simplify]: Extracting #6: cost 170 inf + 9992 148.055 * * [simplify]: Extracting #7: cost 39 inf + 54211 148.065 * * [simplify]: Extracting #8: cost 4 inf + 62358 148.076 * * [simplify]: Extracting #9: cost 0 inf + 63198 148.087 * * [simplify]: Extracting #10: cost 0 inf + 63158 148.106 * [simplify]: Simplified to (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 148.106 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 148.107 * * * * [progress]: [ 215 / 4754 ] simplifiying candidate # 148.107 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 148.107 * * [simplify]: iters left: 6 (30 enodes) 148.126 * * [simplify]: iters left: 5 (138 enodes) 148.181 * * [simplify]: iters left: 4 (379 enodes) 148.421 * * [simplify]: Extracting #0: cost 1 inf + 0 148.421 * * [simplify]: Extracting #1: cost 3 inf + 0 148.421 * * [simplify]: Extracting #2: cost 26 inf + 0 148.421 * * [simplify]: Extracting #3: cost 263 inf + 0 148.423 * * [simplify]: Extracting #4: cost 542 inf + 744 148.427 * * [simplify]: Extracting #5: cost 523 inf + 11348 148.445 * * [simplify]: Extracting #6: cost 277 inf + 82625 148.503 * * [simplify]: Extracting #7: cost 35 inf + 177327 148.551 * * [simplify]: Extracting #8: cost 3 inf + 190838 148.607 * * [simplify]: Extracting #9: cost 0 inf + 192913 148.647 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 148.647 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 148.648 * * * * [progress]: [ 216 / 4754 ] simplifiying candidate # 148.648 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 148.649 * * [simplify]: iters left: 6 (35 enodes) 148.658 * * [simplify]: iters left: 5 (166 enodes) 148.715 * * [simplify]: iters left: 4 (443 enodes) 148.959 * * [simplify]: Extracting #0: cost 1 inf + 0 148.959 * * [simplify]: Extracting #1: cost 3 inf + 0 148.959 * * [simplify]: Extracting #2: cost 24 inf + 0 148.960 * * [simplify]: Extracting #3: cost 288 inf + 0 148.961 * * [simplify]: Extracting #4: cost 592 inf + 538 148.967 * * [simplify]: Extracting #5: cost 639 inf + 13930 149.006 * * [simplify]: Extracting #6: cost 310 inf + 118827 149.062 * * [simplify]: Extracting #7: cost 63 inf + 239511 149.149 * * [simplify]: Extracting #8: cost 1 inf + 269372 149.251 * * [simplify]: Extracting #9: cost 0 inf + 270557 149.330 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 149.330 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 149.331 * * * * [progress]: [ 217 / 4754 ] simplifiying candidate # 149.331 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 149.331 * * [simplify]: iters left: 6 (30 enodes) 149.348 * * [simplify]: iters left: 5 (138 enodes) 149.379 * * [simplify]: iters left: 4 (370 enodes) 149.587 * * [simplify]: Extracting #0: cost 1 inf + 0 149.588 * * [simplify]: Extracting #1: cost 3 inf + 0 149.588 * * [simplify]: Extracting #2: cost 19 inf + 0 149.588 * * [simplify]: Extracting #3: cost 238 inf + 0 149.590 * * [simplify]: Extracting #4: cost 447 inf + 829 149.593 * * [simplify]: Extracting #5: cost 490 inf + 12845 149.623 * * [simplify]: Extracting #6: cost 214 inf + 89374 149.669 * * [simplify]: Extracting #7: cost 16 inf + 176197 149.720 * * [simplify]: Extracting #8: cost 0 inf + 182209 149.780 * [simplify]: Simplified to (cbrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) 149.780 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 149.780 * * * * [progress]: [ 218 / 4754 ] simplifiying candidate # 149.781 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 149.781 * * [simplify]: iters left: 6 (35 enodes) 149.790 * * [simplify]: iters left: 5 (166 enodes) 149.840 * * [simplify]: iters left: 4 (443 enodes) 150.100 * * [simplify]: Extracting #0: cost 1 inf + 0 150.100 * * [simplify]: Extracting #1: cost 3 inf + 0 150.100 * * [simplify]: Extracting #2: cost 24 inf + 0 150.101 * * [simplify]: Extracting #3: cost 272 inf + 0 150.104 * * [simplify]: Extracting #4: cost 549 inf + 867 150.112 * * [simplify]: Extracting #5: cost 641 inf + 11430 150.146 * * [simplify]: Extracting #6: cost 372 inf + 90223 150.210 * * [simplify]: Extracting #7: cost 124 inf + 199824 150.286 * * [simplify]: Extracting #8: cost 8 inf + 264107 150.353 * * [simplify]: Extracting #9: cost 0 inf + 269267 150.446 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 150.446 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 150.446 * * * * [progress]: [ 219 / 4754 ] simplifiying candidate # 150.446 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 150.447 * * [simplify]: iters left: 6 (30 enodes) 150.456 * * [simplify]: iters left: 5 (138 enodes) 150.505 * * [simplify]: iters left: 4 (370 enodes) 150.734 * * [simplify]: Extracting #0: cost 1 inf + 0 150.734 * * [simplify]: Extracting #1: cost 3 inf + 0 150.734 * * [simplify]: Extracting #2: cost 19 inf + 0 150.735 * * [simplify]: Extracting #3: cost 235 inf + 0 150.738 * * [simplify]: Extracting #4: cost 448 inf + 746 150.746 * * [simplify]: Extracting #5: cost 454 inf + 19933 150.782 * * [simplify]: Extracting #6: cost 207 inf + 92111 150.834 * * [simplify]: Extracting #7: cost 15 inf + 175848 150.898 * * [simplify]: Extracting #8: cost 0 inf + 181873 150.975 * [simplify]: Simplified to (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) 150.975 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 150.976 * * * * [progress]: [ 220 / 4754 ] simplifiying candidate # 150.976 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 150.976 * * [simplify]: iters left: 6 (31 enodes) 150.989 * * [simplify]: iters left: 5 (140 enodes) 151.019 * * [simplify]: iters left: 4 (410 enodes) 151.317 * * [simplify]: Extracting #0: cost 1 inf + 0 151.317 * * [simplify]: Extracting #1: cost 3 inf + 0 151.317 * * [simplify]: Extracting #2: cost 26 inf + 0 151.325 * * [simplify]: Extracting #3: cost 299 inf + 0 151.330 * * [simplify]: Extracting #4: cost 756 inf + 539 151.341 * * [simplify]: Extracting #5: cost 698 inf + 23106 151.370 * * [simplify]: Extracting #6: cost 493 inf + 77057 151.406 * * [simplify]: Extracting #7: cost 345 inf + 129812 151.477 * * [simplify]: Extracting #8: cost 24 inf + 274425 151.572 * * [simplify]: Extracting #9: cost 0 inf + 286945 151.668 * * [simplify]: Extracting #10: cost 0 inf + 286865 151.773 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 151.773 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 151.774 * * * * [progress]: [ 221 / 4754 ] simplifiying candidate # 151.774 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 151.774 * * [simplify]: iters left: 6 (32 enodes) 151.782 * * [simplify]: iters left: 5 (149 enodes) 151.839 * * [simplify]: iters left: 4 (443 enodes) 152.202 * * [simplify]: Extracting #0: cost 1 inf + 0 152.202 * * [simplify]: Extracting #1: cost 3 inf + 0 152.202 * * [simplify]: Extracting #2: cost 22 inf + 0 152.203 * * [simplify]: Extracting #3: cost 297 inf + 0 152.205 * * [simplify]: Extracting #4: cost 725 inf + 212 152.215 * * [simplify]: Extracting #5: cost 794 inf + 13274 152.241 * * [simplify]: Extracting #6: cost 557 inf + 69631 152.295 * * [simplify]: Extracting #7: cost 327 inf + 152616 152.412 * * [simplify]: Extracting #8: cost 14 inf + 288722 152.541 * * [simplify]: Extracting #9: cost 0 inf + 291872 152.622 * * [simplify]: Extracting #10: cost 0 inf + 291832 152.703 * [simplify]: Simplified to (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 152.703 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 152.703 * * * * [progress]: [ 222 / 4754 ] simplifiying candidate # 152.703 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 152.704 * * [simplify]: iters left: 6 (32 enodes) 152.714 * * [simplify]: iters left: 5 (149 enodes) 152.756 * * [simplify]: iters left: 4 (441 enodes) 153.078 * * [simplify]: Extracting #0: cost 1 inf + 0 153.079 * * [simplify]: Extracting #1: cost 3 inf + 0 153.080 * * [simplify]: Extracting #2: cost 26 inf + 0 153.081 * * [simplify]: Extracting #3: cost 341 inf + 0 153.086 * * [simplify]: Extracting #4: cost 751 inf + 1605 153.106 * * [simplify]: Extracting #5: cost 680 inf + 34309 153.121 * * [simplify]: Extracting #6: cost 486 inf + 81626 153.147 * * [simplify]: Extracting #7: cost 311 inf + 143754 153.229 * * [simplify]: Extracting #8: cost 42 inf + 255549 153.305 * * [simplify]: Extracting #9: cost 0 inf + 272959 153.376 * * [simplify]: Extracting #10: cost 0 inf + 272919 153.483 * [simplify]: Simplified to (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) 153.483 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 153.484 * * * * [progress]: [ 223 / 4754 ] simplifiying candidate # 153.484 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 153.485 * * [simplify]: iters left: 6 (25 enodes) 153.498 * * [simplify]: iters left: 5 (108 enodes) 153.540 * * [simplify]: iters left: 4 (312 enodes) 153.803 * * [simplify]: Extracting #0: cost 1 inf + 0 153.803 * * [simplify]: Extracting #1: cost 3 inf + 0 153.803 * * [simplify]: Extracting #2: cost 22 inf + 0 153.805 * * [simplify]: Extracting #3: cost 228 inf + 0 153.808 * * [simplify]: Extracting #4: cost 515 inf + 1477 153.817 * * [simplify]: Extracting #5: cost 424 inf + 21595 153.837 * * [simplify]: Extracting #6: cost 189 inf + 83504 153.888 * * [simplify]: Extracting #7: cost 3 inf + 150070 153.947 * * [simplify]: Extracting #8: cost 0 inf + 149665 153.980 * [simplify]: Simplified to (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 153.980 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 153.981 * * * * [progress]: [ 224 / 4754 ] simplifiying candidate # 153.981 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 153.981 * * [simplify]: iters left: 6 (31 enodes) 153.989 * * [simplify]: iters left: 5 (141 enodes) 154.018 * * [simplify]: iters left: 4 (384 enodes) 154.275 * * [simplify]: Extracting #0: cost 1 inf + 0 154.275 * * [simplify]: Extracting #1: cost 3 inf + 0 154.275 * * [simplify]: Extracting #2: cost 22 inf + 0 154.276 * * [simplify]: Extracting #3: cost 276 inf + 0 154.279 * * [simplify]: Extracting #4: cost 582 inf + 910 154.289 * * [simplify]: Extracting #5: cost 558 inf + 19642 154.323 * * [simplify]: Extracting #6: cost 271 inf + 106412 154.382 * * [simplify]: Extracting #7: cost 9 inf + 209379 154.453 * * [simplify]: Extracting #8: cost 0 inf + 213658 154.506 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 154.506 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 154.506 * * * * [progress]: [ 225 / 4754 ] simplifiying candidate # 154.506 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 154.507 * * [simplify]: iters left: 6 (25 enodes) 154.513 * * [simplify]: iters left: 5 (108 enodes) 154.541 * * [simplify]: iters left: 4 (303 enodes) 154.778 * * [simplify]: Extracting #0: cost 1 inf + 0 154.778 * * [simplify]: Extracting #1: cost 3 inf + 0 154.778 * * [simplify]: Extracting #2: cost 16 inf + 0 154.778 * * [simplify]: Extracting #3: cost 213 inf + 0 154.780 * * [simplify]: Extracting #4: cost 424 inf + 1159 154.784 * * [simplify]: Extracting #5: cost 381 inf + 16791 154.792 * * [simplify]: Extracting #6: cost 283 inf + 31892 154.805 * * [simplify]: Extracting #7: cost 175 inf + 67339 154.839 * * [simplify]: Extracting #8: cost 5 inf + 128715 154.880 * * [simplify]: Extracting #9: cost 0 inf + 130280 154.923 * * [simplify]: Extracting #10: cost 0 inf + 130240 154.963 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 154.963 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 154.964 * * * * [progress]: [ 226 / 4754 ] simplifiying candidate # 154.964 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 154.965 * * [simplify]: iters left: 6 (31 enodes) 154.981 * * [simplify]: iters left: 5 (141 enodes) 155.017 * * [simplify]: iters left: 4 (384 enodes) 155.294 * * [simplify]: Extracting #0: cost 1 inf + 0 155.294 * * [simplify]: Extracting #1: cost 3 inf + 0 155.294 * * [simplify]: Extracting #2: cost 22 inf + 0 155.295 * * [simplify]: Extracting #3: cost 260 inf + 0 155.297 * * [simplify]: Extracting #4: cost 549 inf + 500 155.302 * * [simplify]: Extracting #5: cost 568 inf + 16697 155.324 * * [simplify]: Extracting #6: cost 312 inf + 92095 155.381 * * [simplify]: Extracting #7: cost 21 inf + 206165 155.470 * * [simplify]: Extracting #8: cost 2 inf + 212730 155.561 * * [simplify]: Extracting #9: cost 0 inf + 213154 155.635 * [simplify]: Simplified to (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 155.635 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 155.636 * * * * [progress]: [ 227 / 4754 ] simplifiying candidate # 155.636 * [simplify]: Simplifying (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 155.636 * * [simplify]: iters left: 6 (25 enodes) 155.642 * * [simplify]: iters left: 5 (108 enodes) 155.665 * * [simplify]: iters left: 4 (303 enodes) 155.888 * * [simplify]: Extracting #0: cost 1 inf + 0 155.888 * * [simplify]: Extracting #1: cost 3 inf + 0 155.888 * * [simplify]: Extracting #2: cost 16 inf + 0 155.889 * * [simplify]: Extracting #3: cost 209 inf + 0 155.891 * * [simplify]: Extracting #4: cost 428 inf + 502 155.899 * * [simplify]: Extracting #5: cost 395 inf + 14799 155.920 * * [simplify]: Extracting #6: cost 181 inf + 66742 155.953 * * [simplify]: Extracting #7: cost 8 inf + 127398 155.994 * * [simplify]: Extracting #8: cost 0 inf + 130318 156.036 * [simplify]: Simplified to (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 156.036 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 156.036 * * * * [progress]: [ 228 / 4754 ] simplifiying candidate # 156.037 * [simplify]: Simplifying (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 156.037 * * [simplify]: iters left: 6 (18 enodes) 156.042 * * [simplify]: iters left: 5 (84 enodes) 156.063 * * [simplify]: iters left: 4 (228 enodes) 156.245 * * [simplify]: Extracting #0: cost 1 inf + 0 156.245 * * [simplify]: Extracting #1: cost 3 inf + 0 156.245 * * [simplify]: Extracting #2: cost 6 inf + 0 156.245 * * [simplify]: Extracting #3: cost 73 inf + 0 156.246 * * [simplify]: Extracting #4: cost 265 inf + 2 156.249 * * [simplify]: Extracting #5: cost 286 inf + 1801 156.259 * * [simplify]: Extracting #6: cost 166 inf + 30220 156.291 * * [simplify]: Extracting #7: cost 30 inf + 75376 156.334 * * [simplify]: Extracting #8: cost 0 inf + 85577 156.377 * * [simplify]: Extracting #9: cost 0 inf + 85246 156.422 * [simplify]: Simplified to (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 156.422 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 156.423 * * * * [progress]: [ 229 / 4754 ] simplifiying candidate # 156.423 * [simplify]: Simplifying (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 156.423 * * [simplify]: iters left: 6 (17 enodes) 156.432 * * [simplify]: iters left: 5 (77 enodes) 156.462 * * [simplify]: iters left: 4 (210 enodes) 156.599 * * [simplify]: Extracting #0: cost 1 inf + 0 156.599 * * [simplify]: Extracting #1: cost 3 inf + 0 156.599 * * [simplify]: Extracting #2: cost 25 inf + 0 156.599 * * [simplify]: Extracting #3: cost 107 inf + 0 156.601 * * [simplify]: Extracting #4: cost 254 inf + 44 156.603 * * [simplify]: Extracting #5: cost 259 inf + 2051 156.608 * * [simplify]: Extracting #6: cost 192 inf + 11834 156.619 * * [simplify]: Extracting #7: cost 126 inf + 29341 156.649 * * [simplify]: Extracting #8: cost 21 inf + 64809 156.674 * * [simplify]: Extracting #9: cost 0 inf + 72332 156.691 * [simplify]: Simplified to (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 156.691 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (/ (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 156.692 * * * * [progress]: [ 230 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 231 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 232 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 233 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 234 / 4754 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))> 156.692 * * * * [progress]: [ 235 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 236 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 237 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 238 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 239 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 240 / 4754 ] simplifiying candidate # 156.692 * * * * [progress]: [ 241 / 4754 ] simplifiying candidate # 156.692 * [simplify]: Simplifying (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 156.693 * * [simplify]: iters left: 6 (16 enodes) 156.696 * * [simplify]: iters left: 5 (62 enodes) 156.711 * * [simplify]: iters left: 4 (111 enodes) 156.764 * * [simplify]: iters left: 3 (312 enodes) 156.901 * * [simplify]: Extracting #0: cost 1 inf + 0 156.901 * * [simplify]: Extracting #1: cost 3 inf + 0 156.901 * * [simplify]: Extracting #2: cost 5 inf + 0 156.901 * * [simplify]: Extracting #3: cost 21 inf + 0 156.901 * * [simplify]: Extracting #4: cost 139 inf + 0 156.902 * * [simplify]: Extracting #5: cost 199 inf + 44 156.903 * * [simplify]: Extracting #6: cost 199 inf + 1968 156.906 * * [simplify]: Extracting #7: cost 131 inf + 14187 156.918 * * [simplify]: Extracting #8: cost 26 inf + 45806 156.931 * * [simplify]: Extracting #9: cost 0 inf + 56055 156.944 * [simplify]: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 156.944 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 156.944 * * * * [progress]: [ 242 / 4754 ] simplifiying candidate # 156.944 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 156.945 * * [simplify]: iters left: 6 (36 enodes) 156.954 * * [simplify]: iters left: 5 (180 enodes) 157.016 * * [simplify]: Extracting #0: cost 1 inf + 0 157.016 * * [simplify]: Extracting #1: cost 4 inf + 0 157.016 * * [simplify]: Extracting #2: cost 7 inf + 0 157.016 * * [simplify]: Extracting #3: cost 10 inf + 0 157.016 * * [simplify]: Extracting #4: cost 64 inf + 0 157.017 * * [simplify]: Extracting #5: cost 172 inf + 0 157.018 * * [simplify]: Extracting #6: cost 245 inf + 0 157.021 * * [simplify]: Extracting #7: cost 198 inf + 15992 157.029 * * [simplify]: Extracting #8: cost 89 inf + 55758 157.042 * * [simplify]: Extracting #9: cost 11 inf + 75718 157.057 * * [simplify]: Extracting #10: cost 0 inf + 81401 157.072 * * [simplify]: Extracting #11: cost 0 inf + 81041 157.086 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 157.086 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 157.087 * * * * [progress]: [ 243 / 4754 ] simplifiying candidate # 157.087 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 157.088 * * [simplify]: iters left: 6 (43 enodes) 157.113 * * [simplify]: iters left: 5 (222 enodes) 157.178 * * [simplify]: Extracting #0: cost 1 inf + 0 157.178 * * [simplify]: Extracting #1: cost 3 inf + 0 157.178 * * [simplify]: Extracting #2: cost 6 inf + 0 157.178 * * [simplify]: Extracting #3: cost 10 inf + 0 157.178 * * [simplify]: Extracting #4: cost 16 inf + 0 157.178 * * [simplify]: Extracting #5: cost 108 inf + 0 157.179 * * [simplify]: Extracting #6: cost 254 inf + 0 157.180 * * [simplify]: Extracting #7: cost 331 inf + 168 157.182 * * [simplify]: Extracting #8: cost 274 inf + 9589 157.192 * * [simplify]: Extracting #9: cost 150 inf + 42979 157.208 * * [simplify]: Extracting #10: cost 33 inf + 97061 157.230 * * [simplify]: Extracting #11: cost 3 inf + 114168 157.259 * * [simplify]: Extracting #12: cost 1 inf + 116098 157.300 * * [simplify]: Extracting #13: cost 0 inf + 117683 157.344 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 157.344 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 157.345 * * * * [progress]: [ 244 / 4754 ] simplifiying candidate # 157.346 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 157.346 * * [simplify]: iters left: 6 (43 enodes) 157.369 * * [simplify]: iters left: 5 (224 enodes) 157.477 * * [simplify]: Extracting #0: cost 1 inf + 0 157.477 * * [simplify]: Extracting #1: cost 3 inf + 0 157.477 * * [simplify]: Extracting #2: cost 6 inf + 0 157.477 * * [simplify]: Extracting #3: cost 10 inf + 0 157.477 * * [simplify]: Extracting #4: cost 16 inf + 0 157.477 * * [simplify]: Extracting #5: cost 108 inf + 0 157.478 * * [simplify]: Extracting #6: cost 267 inf + 0 157.480 * * [simplify]: Extracting #7: cost 334 inf + 1224 157.484 * * [simplify]: Extracting #8: cost 262 inf + 14506 157.494 * * [simplify]: Extracting #9: cost 155 inf + 49826 157.514 * * [simplify]: Extracting #10: cost 22 inf + 112763 157.545 * * [simplify]: Extracting #11: cost 0 inf + 124438 157.595 * * [simplify]: Extracting #12: cost 0 inf + 123438 157.637 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 157.637 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 157.638 * * * * [progress]: [ 245 / 4754 ] simplifiying candidate # 157.639 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 157.639 * * [simplify]: iters left: 6 (43 enodes) 157.654 * * [simplify]: iters left: 5 (226 enodes) 157.767 * * [simplify]: Extracting #0: cost 1 inf + 0 157.767 * * [simplify]: Extracting #1: cost 3 inf + 0 157.767 * * [simplify]: Extracting #2: cost 6 inf + 0 157.767 * * [simplify]: Extracting #3: cost 10 inf + 0 157.767 * * [simplify]: Extracting #4: cost 16 inf + 0 157.767 * * [simplify]: Extracting #5: cost 112 inf + 0 157.768 * * [simplify]: Extracting #6: cost 265 inf + 0 157.770 * * [simplify]: Extracting #7: cost 326 inf + 777 157.772 * * [simplify]: Extracting #8: cost 261 inf + 15523 157.780 * * [simplify]: Extracting #9: cost 163 inf + 43297 157.796 * * [simplify]: Extracting #10: cost 29 inf + 98444 157.817 * * [simplify]: Extracting #11: cost 3 inf + 111334 157.844 * * [simplify]: Extracting #12: cost 1 inf + 114344 157.875 * * [simplify]: Extracting #13: cost 0 inf + 115849 157.917 * * [simplify]: Extracting #14: cost 0 inf + 115809 157.943 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 157.943 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 157.944 * * * * [progress]: [ 246 / 4754 ] simplifiying candidate # 157.944 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 157.944 * * [simplify]: iters left: 6 (42 enodes) 157.969 * * [simplify]: iters left: 5 (214 enodes) 158.051 * * [simplify]: Extracting #0: cost 1 inf + 0 158.051 * * [simplify]: Extracting #1: cost 3 inf + 0 158.051 * * [simplify]: Extracting #2: cost 6 inf + 0 158.051 * * [simplify]: Extracting #3: cost 10 inf + 0 158.051 * * [simplify]: Extracting #4: cost 20 inf + 0 158.051 * * [simplify]: Extracting #5: cost 125 inf + 0 158.052 * * [simplify]: Extracting #6: cost 236 inf + 1 158.053 * * [simplify]: Extracting #7: cost 295 inf + 656 158.055 * * [simplify]: Extracting #8: cost 230 inf + 15451 158.062 * * [simplify]: Extracting #9: cost 161 inf + 35917 158.080 * * [simplify]: Extracting #10: cost 37 inf + 83405 158.099 * * [simplify]: Extracting #11: cost 6 inf + 99872 158.126 * * [simplify]: Extracting #12: cost 2 inf + 105052 158.166 * * [simplify]: Extracting #13: cost 0 inf + 107942 158.207 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 158.207 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 158.208 * * * * [progress]: [ 247 / 4754 ] simplifiying candidate # 158.209 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 158.209 * * [simplify]: iters left: 6 (43 enodes) 158.232 * * [simplify]: iters left: 5 (222 enodes) 158.310 * * [simplify]: Extracting #0: cost 1 inf + 0 158.310 * * [simplify]: Extracting #1: cost 3 inf + 0 158.310 * * [simplify]: Extracting #2: cost 6 inf + 0 158.310 * * [simplify]: Extracting #3: cost 10 inf + 0 158.311 * * [simplify]: Extracting #4: cost 20 inf + 0 158.311 * * [simplify]: Extracting #5: cost 122 inf + 0 158.312 * * [simplify]: Extracting #6: cost 256 inf + 44 158.314 * * [simplify]: Extracting #7: cost 303 inf + 2285 158.324 * * [simplify]: Extracting #8: cost 217 inf + 30815 158.343 * * [simplify]: Extracting #9: cost 111 inf + 79074 158.360 * * [simplify]: Extracting #10: cost 21 inf + 101324 158.395 * * [simplify]: Extracting #11: cost 0 inf + 110941 158.423 * * [simplify]: Extracting #12: cost 0 inf + 110381 158.450 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 158.450 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 158.451 * * * * [progress]: [ 248 / 4754 ] simplifiying candidate # 158.451 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 158.452 * * [simplify]: iters left: 6 (42 enodes) 158.464 * * [simplify]: iters left: 5 (213 enodes) 158.536 * * [simplify]: Extracting #0: cost 1 inf + 0 158.536 * * [simplify]: Extracting #1: cost 3 inf + 0 158.537 * * [simplify]: Extracting #2: cost 6 inf + 0 158.537 * * [simplify]: Extracting #3: cost 10 inf + 0 158.537 * * [simplify]: Extracting #4: cost 20 inf + 0 158.537 * * [simplify]: Extracting #5: cost 126 inf + 0 158.538 * * [simplify]: Extracting #6: cost 232 inf + 1 158.543 * * [simplify]: Extracting #7: cost 290 inf + 1099 158.550 * * [simplify]: Extracting #8: cost 204 inf + 31161 158.564 * * [simplify]: Extracting #9: cost 90 inf + 77291 158.581 * * [simplify]: Extracting #10: cost 29 inf + 88697 158.615 * * [simplify]: Extracting #11: cost 6 inf + 98900 158.652 * * [simplify]: Extracting #12: cost 3 inf + 102615 158.674 * * [simplify]: Extracting #13: cost 0 inf + 106970 158.713 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 158.713 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 158.714 * * * * [progress]: [ 249 / 4754 ] simplifiying candidate # 158.715 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 158.715 * * [simplify]: iters left: 6 (43 enodes) 158.739 * * [simplify]: iters left: 5 (222 enodes) 158.820 * * [simplify]: Extracting #0: cost 1 inf + 0 158.820 * * [simplify]: Extracting #1: cost 3 inf + 0 158.820 * * [simplify]: Extracting #2: cost 6 inf + 0 158.820 * * [simplify]: Extracting #3: cost 10 inf + 0 158.820 * * [simplify]: Extracting #4: cost 20 inf + 0 158.820 * * [simplify]: Extracting #5: cost 121 inf + 0 158.821 * * [simplify]: Extracting #6: cost 256 inf + 44 158.822 * * [simplify]: Extracting #7: cost 310 inf + 1351 158.826 * * [simplify]: Extracting #8: cost 211 inf + 33456 158.837 * * [simplify]: Extracting #9: cost 108 inf + 78081 158.855 * * [simplify]: Extracting #10: cost 23 inf + 101029 158.887 * * [simplify]: Extracting #11: cost 0 inf + 111381 158.929 * * [simplify]: Extracting #12: cost 0 inf + 110781 158.969 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 158.969 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 158.970 * * * * [progress]: [ 250 / 4754 ] simplifiying candidate # 158.971 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 158.971 * * [simplify]: iters left: 6 (45 enodes) 158.995 * * [simplify]: iters left: 5 (235 enodes) 159.093 * * [simplify]: Extracting #0: cost 1 inf + 0 159.093 * * [simplify]: Extracting #1: cost 3 inf + 0 159.093 * * [simplify]: Extracting #2: cost 6 inf + 0 159.093 * * [simplify]: Extracting #3: cost 10 inf + 0 159.093 * * [simplify]: Extracting #4: cost 16 inf + 0 159.093 * * [simplify]: Extracting #5: cost 106 inf + 0 159.094 * * [simplify]: Extracting #6: cost 271 inf + 0 159.095 * * [simplify]: Extracting #7: cost 349 inf + 209 159.097 * * [simplify]: Extracting #8: cost 289 inf + 8093 159.106 * * [simplify]: Extracting #9: cost 144 inf + 51945 159.132 * * [simplify]: Extracting #10: cost 46 inf + 98397 159.178 * * [simplify]: Extracting #11: cost 2 inf + 127382 159.232 * * [simplify]: Extracting #12: cost 0 inf + 130152 159.279 * * [simplify]: Extracting #13: cost 0 inf + 129912 159.327 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 159.327 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 159.328 * * * * [progress]: [ 251 / 4754 ] simplifiying candidate # 159.329 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 159.329 * * [simplify]: iters left: 6 (48 enodes) 159.355 * * [simplify]: iters left: 5 (256 enodes) 159.447 * * [simplify]: Extracting #0: cost 1 inf + 0 159.447 * * [simplify]: Extracting #1: cost 3 inf + 0 159.447 * * [simplify]: Extracting #2: cost 6 inf + 0 159.447 * * [simplify]: Extracting #3: cost 10 inf + 0 159.447 * * [simplify]: Extracting #4: cost 16 inf + 0 159.448 * * [simplify]: Extracting #5: cost 118 inf + 0 159.449 * * [simplify]: Extracting #6: cost 314 inf + 0 159.452 * * [simplify]: Extracting #7: cost 387 inf + 1233 159.469 * * [simplify]: Extracting #8: cost 219 inf + 44511 159.510 * * [simplify]: Extracting #9: cost 33 inf + 123784 159.561 * * [simplify]: Extracting #10: cost 3 inf + 139984 159.587 * * [simplify]: Extracting #11: cost 0 inf + 141833 159.625 * * [simplify]: Extracting #12: cost 0 inf + 141713 159.651 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 159.651 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 159.652 * * * * [progress]: [ 252 / 4754 ] simplifiying candidate # 159.652 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 159.652 * * [simplify]: iters left: 6 (48 enodes) 159.677 * * [simplify]: iters left: 5 (256 enodes) 159.759 * * [simplify]: Extracting #0: cost 1 inf + 0 159.759 * * [simplify]: Extracting #1: cost 3 inf + 0 159.759 * * [simplify]: Extracting #2: cost 6 inf + 0 159.759 * * [simplify]: Extracting #3: cost 10 inf + 0 159.759 * * [simplify]: Extracting #4: cost 16 inf + 0 159.759 * * [simplify]: Extracting #5: cost 120 inf + 0 159.760 * * [simplify]: Extracting #6: cost 315 inf + 0 159.762 * * [simplify]: Extracting #7: cost 393 inf + 460 159.768 * * [simplify]: Extracting #8: cost 240 inf + 31185 159.796 * * [simplify]: Extracting #9: cost 56 inf + 107812 159.827 * * [simplify]: Extracting #10: cost 2 inf + 139200 159.867 * * [simplify]: Extracting #11: cost 0 inf + 140957 159.893 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 159.894 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 159.895 * * * * [progress]: [ 253 / 4754 ] simplifiying candidate # 159.895 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 159.896 * * [simplify]: iters left: 6 (48 enodes) 159.921 * * [simplify]: iters left: 5 (254 enodes) 160.601 * * [simplify]: Extracting #0: cost 1 inf + 0 160.601 * * [simplify]: Extracting #1: cost 3 inf + 0 160.601 * * [simplify]: Extracting #2: cost 6 inf + 0 160.601 * * [simplify]: Extracting #3: cost 10 inf + 0 160.601 * * [simplify]: Extracting #4: cost 16 inf + 0 160.601 * * [simplify]: Extracting #5: cost 114 inf + 0 160.602 * * [simplify]: Extracting #6: cost 295 inf + 0 160.603 * * [simplify]: Extracting #7: cost 353 inf + 1721 160.612 * * [simplify]: Extracting #8: cost 166 inf + 55775 160.636 * * [simplify]: Extracting #9: cost 32 inf + 109047 160.665 * * [simplify]: Extracting #10: cost 5 inf + 118409 160.687 * * [simplify]: Extracting #11: cost 2 inf + 122564 160.730 * * [simplify]: Extracting #12: cost 0 inf + 125854 160.777 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 160.777 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 160.778 * * * * [progress]: [ 254 / 4754 ] simplifiying candidate # 160.779 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 160.779 * * [simplify]: iters left: 6 (47 enodes) 160.804 * * [simplify]: iters left: 5 (248 enodes) 160.879 * * [simplify]: Extracting #0: cost 1 inf + 0 160.879 * * [simplify]: Extracting #1: cost 3 inf + 0 160.879 * * [simplify]: Extracting #2: cost 6 inf + 0 160.879 * * [simplify]: Extracting #3: cost 10 inf + 0 160.879 * * [simplify]: Extracting #4: cost 20 inf + 0 160.879 * * [simplify]: Extracting #5: cost 134 inf + 0 160.880 * * [simplify]: Extracting #6: cost 297 inf + 1 160.881 * * [simplify]: Extracting #7: cost 357 inf + 1275 160.889 * * [simplify]: Extracting #8: cost 181 inf + 49107 160.909 * * [simplify]: Extracting #9: cost 34 inf + 113216 160.933 * * [simplify]: Extracting #10: cost 6 inf + 130394 160.982 * * [simplify]: Extracting #11: cost 0 inf + 131648 161.024 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 161.025 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 161.025 * * * * [progress]: [ 255 / 4754 ] simplifiying candidate # 161.026 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 161.026 * * [simplify]: iters left: 6 (48 enodes) 161.041 * * [simplify]: iters left: 5 (254 enodes) 161.116 * * [simplify]: Extracting #0: cost 1 inf + 0 161.116 * * [simplify]: Extracting #1: cost 3 inf + 0 161.116 * * [simplify]: Extracting #2: cost 6 inf + 0 161.116 * * [simplify]: Extracting #3: cost 10 inf + 0 161.116 * * [simplify]: Extracting #4: cost 20 inf + 0 161.116 * * [simplify]: Extracting #5: cost 130 inf + 0 161.117 * * [simplify]: Extracting #6: cost 298 inf + 44 161.120 * * [simplify]: Extracting #7: cost 345 inf + 3223 161.134 * * [simplify]: Extracting #8: cost 180 inf + 49935 161.160 * * [simplify]: Extracting #9: cost 14 inf + 119202 161.198 * * [simplify]: Extracting #10: cost 4 inf + 123771 161.221 * * [simplify]: Extracting #11: cost 0 inf + 124019 161.261 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 161.261 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 161.263 * * * * [progress]: [ 256 / 4754 ] simplifiying candidate # 161.263 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 161.264 * * [simplify]: iters left: 6 (47 enodes) 161.289 * * [simplify]: iters left: 5 (248 enodes) 161.405 * * [simplify]: Extracting #0: cost 1 inf + 0 161.405 * * [simplify]: Extracting #1: cost 3 inf + 0 161.405 * * [simplify]: Extracting #2: cost 6 inf + 0 161.405 * * [simplify]: Extracting #3: cost 10 inf + 0 161.405 * * [simplify]: Extracting #4: cost 20 inf + 0 161.405 * * [simplify]: Extracting #5: cost 134 inf + 0 161.406 * * [simplify]: Extracting #6: cost 296 inf + 1 161.407 * * [simplify]: Extracting #7: cost 358 inf + 991 161.417 * * [simplify]: Extracting #8: cost 176 inf + 50093 161.442 * * [simplify]: Extracting #9: cost 35 inf + 114751 161.475 * * [simplify]: Extracting #10: cost 5 inf + 129720 161.506 * * [simplify]: Extracting #11: cost 0 inf + 132164 161.558 * * [simplify]: Extracting #12: cost 0 inf + 132044 161.606 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 161.606 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 161.607 * * * * [progress]: [ 257 / 4754 ] simplifiying candidate # 161.608 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 161.608 * * [simplify]: iters left: 6 (48 enodes) 161.635 * * [simplify]: iters left: 5 (254 enodes) 161.715 * * [simplify]: Extracting #0: cost 1 inf + 0 161.715 * * [simplify]: Extracting #1: cost 3 inf + 0 161.715 * * [simplify]: Extracting #2: cost 6 inf + 0 161.715 * * [simplify]: Extracting #3: cost 10 inf + 0 161.715 * * [simplify]: Extracting #4: cost 20 inf + 0 161.715 * * [simplify]: Extracting #5: cost 129 inf + 0 161.716 * * [simplify]: Extracting #6: cost 298 inf + 44 161.717 * * [simplify]: Extracting #7: cost 350 inf + 2573 161.724 * * [simplify]: Extracting #8: cost 184 inf + 50052 161.746 * * [simplify]: Extracting #9: cost 14 inf + 119522 161.772 * * [simplify]: Extracting #10: cost 4 inf + 124091 161.808 * * [simplify]: Extracting #11: cost 0 inf + 124339 161.837 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 161.837 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 161.838 * * * * [progress]: [ 258 / 4754 ] simplifiying candidate # 161.838 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 161.838 * * [simplify]: iters left: 6 (45 enodes) 161.860 * * [simplify]: iters left: 5 (232 enodes) 161.974 * * [simplify]: Extracting #0: cost 1 inf + 0 161.974 * * [simplify]: Extracting #1: cost 3 inf + 0 161.974 * * [simplify]: Extracting #2: cost 6 inf + 0 161.974 * * [simplify]: Extracting #3: cost 10 inf + 0 161.974 * * [simplify]: Extracting #4: cost 16 inf + 0 161.974 * * [simplify]: Extracting #5: cost 107 inf + 0 161.975 * * [simplify]: Extracting #6: cost 266 inf + 0 161.977 * * [simplify]: Extracting #7: cost 338 inf + 249 161.984 * * [simplify]: Extracting #8: cost 247 inf + 17461 162.006 * * [simplify]: Extracting #9: cost 110 inf + 68615 162.050 * * [simplify]: Extracting #10: cost 21 inf + 114768 162.080 * * [simplify]: Extracting #11: cost 2 inf + 124959 162.107 * * [simplify]: Extracting #12: cost 0 inf + 128009 162.153 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 162.153 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 162.154 * * * * [progress]: [ 259 / 4754 ] simplifiying candidate # 162.155 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 162.156 * * [simplify]: iters left: 6 (48 enodes) 162.175 * * [simplify]: iters left: 5 (255 enodes) 162.264 * * [simplify]: Extracting #0: cost 1 inf + 0 162.264 * * [simplify]: Extracting #1: cost 3 inf + 0 162.264 * * [simplify]: Extracting #2: cost 6 inf + 0 162.264 * * [simplify]: Extracting #3: cost 10 inf + 0 162.264 * * [simplify]: Extracting #4: cost 16 inf + 0 162.264 * * [simplify]: Extracting #5: cost 118 inf + 0 162.265 * * [simplify]: Extracting #6: cost 315 inf + 0 162.270 * * [simplify]: Extracting #7: cost 385 inf + 1309 162.278 * * [simplify]: Extracting #8: cost 188 inf + 53460 162.319 * * [simplify]: Extracting #9: cost 23 inf + 128182 162.370 * * [simplify]: Extracting #10: cost 4 inf + 139219 162.419 * * [simplify]: Extracting #11: cost 0 inf + 141240 162.467 * * [simplify]: Extracting #12: cost 0 inf + 141120 162.504 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 162.504 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 162.505 * * * * [progress]: [ 260 / 4754 ] simplifiying candidate # 162.505 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 162.506 * * [simplify]: iters left: 6 (48 enodes) 162.521 * * [simplify]: iters left: 5 (255 enodes) 162.618 * * [simplify]: Extracting #0: cost 1 inf + 0 162.618 * * [simplify]: Extracting #1: cost 3 inf + 0 162.618 * * [simplify]: Extracting #2: cost 6 inf + 0 162.618 * * [simplify]: Extracting #3: cost 10 inf + 0 162.618 * * [simplify]: Extracting #4: cost 16 inf + 0 162.619 * * [simplify]: Extracting #5: cost 120 inf + 0 162.619 * * [simplify]: Extracting #6: cost 315 inf + 0 162.621 * * [simplify]: Extracting #7: cost 377 inf + 1920 162.633 * * [simplify]: Extracting #8: cost 179 inf + 54539 162.670 * * [simplify]: Extracting #9: cost 17 inf + 127988 162.695 * * [simplify]: Extracting #10: cost 6 inf + 133436 162.733 * * [simplify]: Extracting #11: cost 1 inf + 138095 162.779 * * [simplify]: Extracting #12: cost 0 inf + 139560 162.837 * * [simplify]: Extracting #13: cost 0 inf + 139440 162.887 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 162.887 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 162.888 * * * * [progress]: [ 261 / 4754 ] simplifiying candidate # 162.889 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 162.889 * * [simplify]: iters left: 6 (48 enodes) 162.916 * * [simplify]: iters left: 5 (253 enodes) 163.010 * * [simplify]: Extracting #0: cost 1 inf + 0 163.010 * * [simplify]: Extracting #1: cost 3 inf + 0 163.011 * * [simplify]: Extracting #2: cost 6 inf + 0 163.011 * * [simplify]: Extracting #3: cost 10 inf + 0 163.011 * * [simplify]: Extracting #4: cost 16 inf + 0 163.011 * * [simplify]: Extracting #5: cost 114 inf + 0 163.012 * * [simplify]: Extracting #6: cost 295 inf + 0 163.015 * * [simplify]: Extracting #7: cost 357 inf + 744 163.024 * * [simplify]: Extracting #8: cost 214 inf + 28749 163.053 * * [simplify]: Extracting #9: cost 68 inf + 88695 163.082 * * [simplify]: Extracting #10: cost 7 inf + 117301 163.122 * * [simplify]: Extracting #11: cost 1 inf + 123411 163.167 * * [simplify]: Extracting #12: cost 0 inf + 125036 163.213 * * [simplify]: Extracting #13: cost 0 inf + 124996 163.241 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi2 phi1) 2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 163.241 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi2 phi1) 2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 163.242 * * * * [progress]: [ 262 / 4754 ] simplifiying candidate # 163.242 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 163.242 * * [simplify]: iters left: 6 (47 enodes) 163.255 * * [simplify]: iters left: 5 (246 enodes) 163.359 * * [simplify]: Extracting #0: cost 1 inf + 0 163.359 * * [simplify]: Extracting #1: cost 3 inf + 0 163.359 * * [simplify]: Extracting #2: cost 6 inf + 0 163.359 * * [simplify]: Extracting #3: cost 10 inf + 0 163.359 * * [simplify]: Extracting #4: cost 20 inf + 0 163.359 * * [simplify]: Extracting #5: cost 135 inf + 0 163.360 * * [simplify]: Extracting #6: cost 292 inf + 1 163.361 * * [simplify]: Extracting #7: cost 349 inf + 1271 163.365 * * [simplify]: Extracting #8: cost 220 inf + 28051 163.382 * * [simplify]: Extracting #9: cost 66 inf + 90895 163.412 * * [simplify]: Extracting #10: cost 8 inf + 123481 163.442 * * [simplify]: Extracting #11: cost 0 inf + 128227 163.465 * * [simplify]: Extracting #12: cost 0 inf + 127947 163.489 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 163.489 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 163.490 * * * * [progress]: [ 263 / 4754 ] simplifiying candidate # 163.490 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 163.490 * * [simplify]: iters left: 6 (48 enodes) 163.509 * * [simplify]: iters left: 5 (253 enodes) 163.596 * * [simplify]: Extracting #0: cost 1 inf + 0 163.597 * * [simplify]: Extracting #1: cost 3 inf + 0 163.597 * * [simplify]: Extracting #2: cost 6 inf + 0 163.597 * * [simplify]: Extracting #3: cost 10 inf + 0 163.597 * * [simplify]: Extracting #4: cost 20 inf + 0 163.597 * * [simplify]: Extracting #5: cost 130 inf + 0 163.598 * * [simplify]: Extracting #6: cost 300 inf + 44 163.601 * * [simplify]: Extracting #7: cost 353 inf + 1762 163.616 * * [simplify]: Extracting #8: cost 176 inf + 52483 163.659 * * [simplify]: Extracting #9: cost 28 inf + 109986 163.682 * * [simplify]: Extracting #10: cost 3 inf + 120269 163.705 * * [simplify]: Extracting #11: cost 0 inf + 123451 163.745 * * [simplify]: Extracting #12: cost 0 inf + 123091 163.788 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 163.788 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 163.788 * * * * [progress]: [ 264 / 4754 ] simplifiying candidate # 163.789 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 163.789 * * [simplify]: iters left: 6 (47 enodes) 163.802 * * [simplify]: iters left: 5 (246 enodes) 163.896 * * [simplify]: Extracting #0: cost 1 inf + 0 163.896 * * [simplify]: Extracting #1: cost 3 inf + 0 163.896 * * [simplify]: Extracting #2: cost 6 inf + 0 163.896 * * [simplify]: Extracting #3: cost 10 inf + 0 163.896 * * [simplify]: Extracting #4: cost 20 inf + 0 163.896 * * [simplify]: Extracting #5: cost 135 inf + 0 163.897 * * [simplify]: Extracting #6: cost 292 inf + 1 163.900 * * [simplify]: Extracting #7: cost 350 inf + 1147 163.909 * * [simplify]: Extracting #8: cost 219 inf + 28493 163.925 * * [simplify]: Extracting #9: cost 66 inf + 91775 163.957 * * [simplify]: Extracting #10: cost 8 inf + 124281 164.009 * * [simplify]: Extracting #11: cost 0 inf + 129027 164.041 * * [simplify]: Extracting #12: cost 0 inf + 128747 164.065 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 164.065 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 164.066 * * * * [progress]: [ 265 / 4754 ] simplifiying candidate # 164.066 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 164.066 * * [simplify]: iters left: 6 (48 enodes) 164.081 * * [simplify]: iters left: 5 (253 enodes) 164.175 * * [simplify]: Extracting #0: cost 1 inf + 0 164.175 * * [simplify]: Extracting #1: cost 3 inf + 0 164.175 * * [simplify]: Extracting #2: cost 6 inf + 0 164.175 * * [simplify]: Extracting #3: cost 10 inf + 0 164.175 * * [simplify]: Extracting #4: cost 20 inf + 0 164.175 * * [simplify]: Extracting #5: cost 129 inf + 0 164.177 * * [simplify]: Extracting #6: cost 300 inf + 44 164.179 * * [simplify]: Extracting #7: cost 353 inf + 1561 164.194 * * [simplify]: Extracting #8: cost 181 inf + 52511 164.238 * * [simplify]: Extracting #9: cost 29 inf + 110382 164.270 * * [simplify]: Extracting #10: cost 3 inf + 120989 164.302 * * [simplify]: Extracting #11: cost 0 inf + 124011 164.330 * * [simplify]: Extracting #12: cost 0 inf + 123411 164.361 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 164.361 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 164.362 * * * * [progress]: [ 266 / 4754 ] simplifiying candidate # 164.362 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 164.363 * * [simplify]: iters left: 6 (45 enodes) 164.381 * * [simplify]: iters left: 5 (239 enodes) 164.475 * * [simplify]: Extracting #0: cost 1 inf + 0 164.476 * * [simplify]: Extracting #1: cost 3 inf + 0 164.476 * * [simplify]: Extracting #2: cost 6 inf + 0 164.476 * * [simplify]: Extracting #3: cost 10 inf + 0 164.476 * * [simplify]: Extracting #4: cost 16 inf + 0 164.476 * * [simplify]: Extracting #5: cost 116 inf + 0 164.477 * * [simplify]: Extracting #6: cost 294 inf + 0 164.478 * * [simplify]: Extracting #7: cost 351 inf + 1065 164.481 * * [simplify]: Extracting #8: cost 297 inf + 10300 164.489 * * [simplify]: Extracting #9: cost 163 inf + 53200 164.513 * * [simplify]: Extracting #10: cost 14 inf + 117386 164.558 * * [simplify]: Extracting #11: cost 2 inf + 125717 164.589 * * [simplify]: Extracting #12: cost 0 inf + 128447 164.625 * * [simplify]: Extracting #13: cost 0 inf + 128007 164.651 * * [simplify]: Extracting #14: cost 0 inf + 127927 164.692 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 164.692 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 164.693 * * * * [progress]: [ 267 / 4754 ] simplifiying candidate # 164.694 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 164.694 * * [simplify]: iters left: 6 (48 enodes) 164.708 * * [simplify]: iters left: 5 (256 enodes) 164.785 * * [simplify]: Extracting #0: cost 1 inf + 0 164.785 * * [simplify]: Extracting #1: cost 3 inf + 0 164.785 * * [simplify]: Extracting #2: cost 6 inf + 0 164.785 * * [simplify]: Extracting #3: cost 10 inf + 0 164.785 * * [simplify]: Extracting #4: cost 16 inf + 0 164.786 * * [simplify]: Extracting #5: cost 118 inf + 0 164.786 * * [simplify]: Extracting #6: cost 314 inf + 0 164.793 * * [simplify]: Extracting #7: cost 372 inf + 1640 164.799 * * [simplify]: Extracting #8: cost 220 inf + 37473 164.824 * * [simplify]: Extracting #9: cost 67 inf + 98277 164.853 * * [simplify]: Extracting #10: cost 10 inf + 123558 164.889 * * [simplify]: Extracting #11: cost 0 inf + 131626 164.940 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 164.940 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 164.941 * * * * [progress]: [ 268 / 4754 ] simplifiying candidate # 164.942 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 164.942 * * [simplify]: iters left: 6 (48 enodes) 164.969 * * [simplify]: iters left: 5 (256 enodes) 165.068 * * [simplify]: Extracting #0: cost 1 inf + 0 165.068 * * [simplify]: Extracting #1: cost 3 inf + 0 165.068 * * [simplify]: Extracting #2: cost 6 inf + 0 165.068 * * [simplify]: Extracting #3: cost 10 inf + 0 165.068 * * [simplify]: Extracting #4: cost 16 inf + 0 165.069 * * [simplify]: Extracting #5: cost 120 inf + 0 165.070 * * [simplify]: Extracting #6: cost 314 inf + 0 165.072 * * [simplify]: Extracting #7: cost 372 inf + 1398 165.083 * * [simplify]: Extracting #8: cost 208 inf + 39393 165.111 * * [simplify]: Extracting #9: cost 42 inf + 109282 165.145 * * [simplify]: Extracting #10: cost 8 inf + 123769 165.187 * * [simplify]: Extracting #11: cost 0 inf + 129824 165.211 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 165.211 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 165.212 * * * * [progress]: [ 269 / 4754 ] simplifiying candidate # 165.212 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 165.213 * * [simplify]: iters left: 6 (48 enodes) 165.235 * * [simplify]: iters left: 5 (258 enodes) 165.334 * * [simplify]: Extracting #0: cost 1 inf + 0 165.334 * * [simplify]: Extracting #1: cost 3 inf + 0 165.334 * * [simplify]: Extracting #2: cost 6 inf + 0 165.334 * * [simplify]: Extracting #3: cost 10 inf + 0 165.334 * * [simplify]: Extracting #4: cost 16 inf + 0 165.334 * * [simplify]: Extracting #5: cost 120 inf + 0 165.335 * * [simplify]: Extracting #6: cost 310 inf + 0 165.336 * * [simplify]: Extracting #7: cost 356 inf + 2041 165.345 * * [simplify]: Extracting #8: cost 192 inf + 44985 165.381 * * [simplify]: Extracting #9: cost 28 inf + 106706 165.427 * * [simplify]: Extracting #10: cost 9 inf + 113530 165.470 * * [simplify]: Extracting #11: cost 0 inf + 119928 165.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 165.516 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 165.517 * * * * [progress]: [ 270 / 4754 ] simplifiying candidate # 165.517 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 165.518 * * [simplify]: iters left: 6 (47 enodes) 165.543 * * [simplify]: iters left: 5 (248 enodes) 165.637 * * [simplify]: Extracting #0: cost 1 inf + 0 165.637 * * [simplify]: Extracting #1: cost 3 inf + 0 165.637 * * [simplify]: Extracting #2: cost 6 inf + 0 165.637 * * [simplify]: Extracting #3: cost 10 inf + 0 165.637 * * [simplify]: Extracting #4: cost 20 inf + 0 165.638 * * [simplify]: Extracting #5: cost 138 inf + 0 165.639 * * [simplify]: Extracting #6: cost 303 inf + 1 165.642 * * [simplify]: Extracting #7: cost 342 inf + 2177 165.656 * * [simplify]: Extracting #8: cost 180 inf + 49386 165.700 * * [simplify]: Extracting #9: cost 24 inf + 113051 165.737 * * [simplify]: Extracting #10: cost 5 inf + 121774 165.760 * * [simplify]: Extracting #11: cost 0 inf + 124047 165.805 * * [simplify]: Extracting #12: cost 0 inf + 124007 165.850 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 165.850 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 165.852 * * * * [progress]: [ 271 / 4754 ] simplifiying candidate # 165.852 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 165.853 * * [simplify]: iters left: 6 (48 enodes) 165.879 * * [simplify]: iters left: 5 (254 enodes) 165.980 * * [simplify]: Extracting #0: cost 1 inf + 0 165.980 * * [simplify]: Extracting #1: cost 3 inf + 0 165.980 * * [simplify]: Extracting #2: cost 6 inf + 0 165.980 * * [simplify]: Extracting #3: cost 10 inf + 0 165.980 * * [simplify]: Extracting #4: cost 20 inf + 0 165.981 * * [simplify]: Extracting #5: cost 132 inf + 0 165.982 * * [simplify]: Extracting #6: cost 300 inf + 44 165.985 * * [simplify]: Extracting #7: cost 343 inf + 2212 166.000 * * [simplify]: Extracting #8: cost 173 inf + 46844 166.020 * * [simplify]: Extracting #9: cost 21 inf + 103848 166.041 * * [simplify]: Extracting #10: cost 6 inf + 111423 166.073 * * [simplify]: Extracting #11: cost 0 inf + 115692 166.100 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 166.101 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 166.101 * * * * [progress]: [ 272 / 4754 ] simplifiying candidate # 166.102 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 166.102 * * [simplify]: iters left: 6 (47 enodes) 166.115 * * [simplify]: iters left: 5 (248 enodes) 166.226 * * [simplify]: Extracting #0: cost 1 inf + 0 166.226 * * [simplify]: Extracting #1: cost 3 inf + 0 166.226 * * [simplify]: Extracting #2: cost 6 inf + 0 166.226 * * [simplify]: Extracting #3: cost 10 inf + 0 166.226 * * [simplify]: Extracting #4: cost 20 inf + 0 166.226 * * [simplify]: Extracting #5: cost 138 inf + 0 166.227 * * [simplify]: Extracting #6: cost 303 inf + 1 166.229 * * [simplify]: Extracting #7: cost 347 inf + 1484 166.235 * * [simplify]: Extracting #8: cost 192 inf + 51086 166.270 * * [simplify]: Extracting #9: cost 25 inf + 118701 166.298 * * [simplify]: Extracting #10: cost 6 inf + 122653 166.329 * * [simplify]: Extracting #11: cost 0 inf + 124807 166.352 * * [simplify]: Extracting #12: cost 0 inf + 124647 166.389 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 166.389 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 166.390 * * * * [progress]: [ 273 / 4754 ] simplifiying candidate # 166.390 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 166.391 * * [simplify]: iters left: 6 (48 enodes) 166.404 * * [simplify]: iters left: 5 (254 enodes) 166.488 * * [simplify]: Extracting #0: cost 1 inf + 0 166.489 * * [simplify]: Extracting #1: cost 3 inf + 0 166.489 * * [simplify]: Extracting #2: cost 6 inf + 0 166.489 * * [simplify]: Extracting #3: cost 10 inf + 0 166.489 * * [simplify]: Extracting #4: cost 20 inf + 0 166.489 * * [simplify]: Extracting #5: cost 131 inf + 0 166.490 * * [simplify]: Extracting #6: cost 300 inf + 44 166.493 * * [simplify]: Extracting #7: cost 345 inf + 1688 166.505 * * [simplify]: Extracting #8: cost 188 inf + 41898 166.535 * * [simplify]: Extracting #9: cost 23 inf + 102619 166.555 * * [simplify]: Extracting #10: cost 9 inf + 107668 166.594 * * [simplify]: Extracting #11: cost 2 inf + 112642 166.637 * * [simplify]: Extracting #12: cost 0 inf + 115932 166.678 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 166.678 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 166.679 * * * * [progress]: [ 274 / 4754 ] simplifiying candidate # 166.680 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 166.680 * * [simplify]: iters left: 6 (43 enodes) 166.703 * * [simplify]: iters left: 5 (214 enodes) 166.805 * * [simplify]: Extracting #0: cost 1 inf + 0 166.805 * * [simplify]: Extracting #1: cost 3 inf + 0 166.805 * * [simplify]: Extracting #2: cost 6 inf + 0 166.805 * * [simplify]: Extracting #3: cost 10 inf + 0 166.805 * * [simplify]: Extracting #4: cost 16 inf + 0 166.805 * * [simplify]: Extracting #5: cost 104 inf + 0 166.806 * * [simplify]: Extracting #6: cost 240 inf + 0 166.808 * * [simplify]: Extracting #7: cost 304 inf + 289 166.811 * * [simplify]: Extracting #8: cost 268 inf + 5850 166.821 * * [simplify]: Extracting #9: cost 172 inf + 30662 166.848 * * [simplify]: Extracting #10: cost 38 inf + 89056 166.886 * * [simplify]: Extracting #11: cost 6 inf + 109510 166.914 * * [simplify]: Extracting #12: cost 1 inf + 115195 166.940 * * [simplify]: Extracting #13: cost 0 inf + 116780 166.982 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 166.982 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 166.984 * * * * [progress]: [ 275 / 4754 ] simplifiying candidate # 166.984 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 166.985 * * [simplify]: iters left: 6 (46 enodes) 167.003 * * [simplify]: iters left: 5 (237 enodes) 167.078 * * [simplify]: Extracting #0: cost 1 inf + 0 167.078 * * [simplify]: Extracting #1: cost 3 inf + 0 167.078 * * [simplify]: Extracting #2: cost 6 inf + 0 167.078 * * [simplify]: Extracting #3: cost 10 inf + 0 167.078 * * [simplify]: Extracting #4: cost 16 inf + 0 167.078 * * [simplify]: Extracting #5: cost 116 inf + 0 167.080 * * [simplify]: Extracting #6: cost 289 inf + 0 167.082 * * [simplify]: Extracting #7: cost 353 inf + 945 167.098 * * [simplify]: Extracting #8: cost 172 inf + 64097 167.138 * * [simplify]: Extracting #9: cost 31 inf + 123571 167.186 * * [simplify]: Extracting #10: cost 9 inf + 128204 167.234 * * [simplify]: Extracting #11: cost 0 inf + 131811 167.258 * * [simplify]: Extracting #12: cost 0 inf + 131411 167.294 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 167.294 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 167.296 * * * * [progress]: [ 276 / 4754 ] simplifiying candidate # 167.296 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 167.297 * * [simplify]: iters left: 6 (46 enodes) 167.321 * * [simplify]: iters left: 5 (238 enodes) 167.395 * * [simplify]: Extracting #0: cost 1 inf + 0 167.395 * * [simplify]: Extracting #1: cost 3 inf + 0 167.395 * * [simplify]: Extracting #2: cost 6 inf + 0 167.395 * * [simplify]: Extracting #3: cost 10 inf + 0 167.395 * * [simplify]: Extracting #4: cost 16 inf + 0 167.395 * * [simplify]: Extracting #5: cost 117 inf + 0 167.396 * * [simplify]: Extracting #6: cost 293 inf + 0 167.399 * * [simplify]: Extracting #7: cost 361 inf + 454 167.409 * * [simplify]: Extracting #8: cost 244 inf + 37227 167.436 * * [simplify]: Extracting #9: cost 66 inf + 105785 167.460 * * [simplify]: Extracting #10: cost 8 inf + 125533 167.492 * * [simplify]: Extracting #11: cost 0 inf + 130863 167.523 * * [simplify]: Extracting #12: cost 0 inf + 130423 167.549 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 167.549 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 167.550 * * * * [progress]: [ 277 / 4754 ] simplifiying candidate # 167.550 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 167.550 * * [simplify]: iters left: 6 (46 enodes) 167.563 * * [simplify]: iters left: 5 (236 enodes) 167.639 * * [simplify]: Extracting #0: cost 1 inf + 0 167.639 * * [simplify]: Extracting #1: cost 3 inf + 0 167.639 * * [simplify]: Extracting #2: cost 6 inf + 0 167.639 * * [simplify]: Extracting #3: cost 10 inf + 0 167.639 * * [simplify]: Extracting #4: cost 16 inf + 0 167.640 * * [simplify]: Extracting #5: cost 115 inf + 0 167.640 * * [simplify]: Extracting #6: cost 280 inf + 0 167.641 * * [simplify]: Extracting #7: cost 335 inf + 1064 167.645 * * [simplify]: Extracting #8: cost 253 inf + 14598 167.653 * * [simplify]: Extracting #9: cost 136 inf + 53597 167.676 * * [simplify]: Extracting #10: cost 37 inf + 96512 167.698 * * [simplify]: Extracting #11: cost 2 inf + 118281 167.734 * * [simplify]: Extracting #12: cost 0 inf + 120851 167.761 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 167.761 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 167.762 * * * * [progress]: [ 278 / 4754 ] simplifiying candidate # 167.762 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 167.762 * * [simplify]: iters left: 6 (45 enodes) 167.779 * * [simplify]: iters left: 5 (229 enodes) 167.864 * * [simplify]: Extracting #0: cost 1 inf + 0 167.864 * * [simplify]: Extracting #1: cost 3 inf + 0 167.865 * * [simplify]: Extracting #2: cost 6 inf + 0 167.865 * * [simplify]: Extracting #3: cost 10 inf + 0 167.865 * * [simplify]: Extracting #4: cost 20 inf + 0 167.865 * * [simplify]: Extracting #5: cost 132 inf + 0 167.866 * * [simplify]: Extracting #6: cost 270 inf + 1 167.868 * * [simplify]: Extracting #7: cost 321 inf + 1146 167.873 * * [simplify]: Extracting #8: cost 262 inf + 9984 167.882 * * [simplify]: Extracting #9: cost 143 inf + 47660 167.900 * * [simplify]: Extracting #10: cost 30 inf + 101651 167.938 * * [simplify]: Extracting #11: cost 2 inf + 117360 167.976 * * [simplify]: Extracting #12: cost 0 inf + 120010 167.998 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 167.999 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 167.999 * * * * [progress]: [ 279 / 4754 ] simplifiying candidate # 168.000 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 168.000 * * [simplify]: iters left: 6 (46 enodes) 168.024 * * [simplify]: iters left: 5 (236 enodes) 168.123 * * [simplify]: Extracting #0: cost 1 inf + 0 168.123 * * [simplify]: Extracting #1: cost 3 inf + 0 168.123 * * [simplify]: Extracting #2: cost 6 inf + 0 168.123 * * [simplify]: Extracting #3: cost 10 inf + 0 168.123 * * [simplify]: Extracting #4: cost 20 inf + 0 168.123 * * [simplify]: Extracting #5: cost 129 inf + 0 168.124 * * [simplify]: Extracting #6: cost 280 inf + 2 168.125 * * [simplify]: Extracting #7: cost 330 inf + 1311 168.130 * * [simplify]: Extracting #8: cost 209 inf + 29894 168.153 * * [simplify]: Extracting #9: cost 53 inf + 88863 168.173 * * [simplify]: Extracting #10: cost 15 inf + 107410 168.216 * * [simplify]: Extracting #11: cost 0 inf + 116038 168.257 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 168.257 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 168.257 * * * * [progress]: [ 280 / 4754 ] simplifiying candidate # 168.258 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 168.258 * * [simplify]: iters left: 6 (45 enodes) 168.270 * * [simplify]: iters left: 5 (228 enodes) 168.343 * * [simplify]: Extracting #0: cost 1 inf + 0 168.343 * * [simplify]: Extracting #1: cost 3 inf + 0 168.343 * * [simplify]: Extracting #2: cost 6 inf + 0 168.343 * * [simplify]: Extracting #3: cost 10 inf + 0 168.343 * * [simplify]: Extracting #4: cost 20 inf + 0 168.343 * * [simplify]: Extracting #5: cost 133 inf + 0 168.344 * * [simplify]: Extracting #6: cost 266 inf + 1 168.345 * * [simplify]: Extracting #7: cost 315 inf + 1269 168.348 * * [simplify]: Extracting #8: cost 241 inf + 13581 168.364 * * [simplify]: Extracting #9: cost 138 inf + 48625 168.397 * * [simplify]: Extracting #10: cost 30 inf + 97440 168.441 * * [simplify]: Extracting #11: cost 5 inf + 112313 168.485 * * [simplify]: Extracting #12: cost 0 inf + 119398 168.521 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 168.521 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 168.522 * * * * [progress]: [ 281 / 4754 ] simplifiying candidate # 168.522 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 168.523 * * [simplify]: iters left: 6 (46 enodes) 168.536 * * [simplify]: iters left: 5 (236 enodes) 168.643 * * [simplify]: Extracting #0: cost 1 inf + 0 168.643 * * [simplify]: Extracting #1: cost 3 inf + 0 168.643 * * [simplify]: Extracting #2: cost 6 inf + 0 168.643 * * [simplify]: Extracting #3: cost 10 inf + 0 168.643 * * [simplify]: Extracting #4: cost 20 inf + 0 168.643 * * [simplify]: Extracting #5: cost 128 inf + 0 168.645 * * [simplify]: Extracting #6: cost 279 inf + 44 168.646 * * [simplify]: Extracting #7: cost 326 inf + 1718 168.649 * * [simplify]: Extracting #8: cost 234 inf + 17029 168.660 * * [simplify]: Extracting #9: cost 94 inf + 66823 168.685 * * [simplify]: Extracting #10: cost 13 inf + 107248 168.723 * * [simplify]: Extracting #11: cost 0 inf + 116478 168.745 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 168.745 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 168.745 * * * * [progress]: [ 282 / 4754 ] simplifiying candidate # 168.746 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 168.746 * * [simplify]: iters left: 6 (46 enodes) 168.767 * * [simplify]: iters left: 5 (231 enodes) 168.847 * * [simplify]: Extracting #0: cost 1 inf + 0 168.847 * * [simplify]: Extracting #1: cost 3 inf + 0 168.847 * * [simplify]: Extracting #2: cost 6 inf + 0 168.847 * * [simplify]: Extracting #3: cost 10 inf + 0 168.848 * * [simplify]: Extracting #4: cost 16 inf + 0 168.848 * * [simplify]: Extracting #5: cost 109 inf + 0 168.849 * * [simplify]: Extracting #6: cost 269 inf + 0 168.851 * * [simplify]: Extracting #7: cost 336 inf + 168 168.856 * * [simplify]: Extracting #8: cost 261 inf + 15976 168.874 * * [simplify]: Extracting #9: cost 124 inf + 60418 168.892 * * [simplify]: Extracting #10: cost 29 inf + 101220 168.916 * * [simplify]: Extracting #11: cost 3 inf + 115348 168.938 * * [simplify]: Extracting #12: cost 0 inf + 119263 168.979 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 168.979 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 168.980 * * * * [progress]: [ 283 / 4754 ] simplifiying candidate # 168.981 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 168.981 * * [simplify]: iters left: 6 (49 enodes) 169.008 * * [simplify]: iters left: 5 (252 enodes) 169.097 * * [simplify]: Extracting #0: cost 1 inf + 0 169.098 * * [simplify]: Extracting #1: cost 3 inf + 0 169.098 * * [simplify]: Extracting #2: cost 6 inf + 0 169.098 * * [simplify]: Extracting #3: cost 10 inf + 0 169.098 * * [simplify]: Extracting #4: cost 16 inf + 0 169.098 * * [simplify]: Extracting #5: cost 116 inf + 0 169.099 * * [simplify]: Extracting #6: cost 306 inf + 0 169.102 * * [simplify]: Extracting #7: cost 367 inf + 1593 169.115 * * [simplify]: Extracting #8: cost 186 inf + 47000 169.150 * * [simplify]: Extracting #9: cost 46 inf + 104587 169.197 * * [simplify]: Extracting #10: cost 4 inf + 123911 169.243 * * [simplify]: Extracting #11: cost 0 inf + 128238 169.273 * * [simplify]: Extracting #12: cost 0 inf + 127958 169.303 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 169.303 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 169.304 * * * * [progress]: [ 284 / 4754 ] simplifiying candidate # 169.304 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 169.305 * * [simplify]: iters left: 6 (49 enodes) 169.318 * * [simplify]: iters left: 5 (252 enodes) 169.422 * * [simplify]: Extracting #0: cost 1 inf + 0 169.422 * * [simplify]: Extracting #1: cost 3 inf + 0 169.422 * * [simplify]: Extracting #2: cost 6 inf + 0 169.422 * * [simplify]: Extracting #3: cost 10 inf + 0 169.422 * * [simplify]: Extracting #4: cost 16 inf + 0 169.422 * * [simplify]: Extracting #5: cost 118 inf + 0 169.423 * * [simplify]: Extracting #6: cost 305 inf + 0 169.426 * * [simplify]: Extracting #7: cost 362 inf + 1837 169.441 * * [simplify]: Extracting #8: cost 184 inf + 48827 169.478 * * [simplify]: Extracting #9: cost 35 inf + 106737 169.521 * * [simplify]: Extracting #10: cost 3 inf + 123018 169.556 * * [simplify]: Extracting #11: cost 0 inf + 127413 169.590 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))))) 169.590 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 169.591 * * * * [progress]: [ 285 / 4754 ] simplifiying candidate # 169.591 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 169.592 * * [simplify]: iters left: 6 (49 enodes) 169.618 * * [simplify]: iters left: 5 (250 enodes) 169.712 * * [simplify]: Extracting #0: cost 1 inf + 0 169.712 * * [simplify]: Extracting #1: cost 3 inf + 0 169.712 * * [simplify]: Extracting #2: cost 6 inf + 0 169.712 * * [simplify]: Extracting #3: cost 10 inf + 0 169.712 * * [simplify]: Extracting #4: cost 16 inf + 0 169.712 * * [simplify]: Extracting #5: cost 112 inf + 0 169.713 * * [simplify]: Extracting #6: cost 286 inf + 0 169.715 * * [simplify]: Extracting #7: cost 341 inf + 945 169.728 * * [simplify]: Extracting #8: cost 180 inf + 39905 169.752 * * [simplify]: Extracting #9: cost 84 inf + 74729 169.783 * * [simplify]: Extracting #10: cost 18 inf + 101277 169.806 * * [simplify]: Extracting #11: cost 2 inf + 111224 169.827 * * [simplify]: Extracting #12: cost 0 inf + 114594 169.848 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 169.848 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 169.849 * * * * [progress]: [ 286 / 4754 ] simplifiying candidate # 169.849 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 169.849 * * [simplify]: iters left: 6 (48 enodes) 169.862 * * [simplify]: iters left: 5 (244 enodes) 169.969 * * [simplify]: Extracting #0: cost 1 inf + 0 169.969 * * [simplify]: Extracting #1: cost 3 inf + 0 169.969 * * [simplify]: Extracting #2: cost 6 inf + 0 169.969 * * [simplify]: Extracting #3: cost 10 inf + 0 169.969 * * [simplify]: Extracting #4: cost 20 inf + 0 169.970 * * [simplify]: Extracting #5: cost 134 inf + 0 169.971 * * [simplify]: Extracting #6: cost 293 inf + 1 169.973 * * [simplify]: Extracting #7: cost 342 inf + 1436 169.983 * * [simplify]: Extracting #8: cost 221 inf + 29464 169.998 * * [simplify]: Extracting #9: cost 100 inf + 73750 170.019 * * [simplify]: Extracting #10: cost 16 inf + 107811 170.055 * * [simplify]: Extracting #11: cost 3 inf + 115939 170.083 * * [simplify]: Extracting #12: cost 0 inf + 120134 170.107 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 170.107 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 170.108 * * * * [progress]: [ 287 / 4754 ] simplifiying candidate # 170.108 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 170.109 * * [simplify]: iters left: 6 (49 enodes) 170.132 * * [simplify]: iters left: 5 (250 enodes) 170.202 * * [simplify]: Extracting #0: cost 1 inf + 0 170.202 * * [simplify]: Extracting #1: cost 3 inf + 0 170.202 * * [simplify]: Extracting #2: cost 6 inf + 0 170.202 * * [simplify]: Extracting #3: cost 10 inf + 0 170.203 * * [simplify]: Extracting #4: cost 20 inf + 0 170.203 * * [simplify]: Extracting #5: cost 128 inf + 0 170.204 * * [simplify]: Extracting #6: cost 288 inf + 44 170.207 * * [simplify]: Extracting #7: cost 329 inf + 2864 170.217 * * [simplify]: Extracting #8: cost 201 inf + 31926 170.248 * * [simplify]: Extracting #9: cost 62 inf + 83194 170.279 * * [simplify]: Extracting #10: cost 7 inf + 106102 170.300 * * [simplify]: Extracting #11: cost 0 inf + 111755 170.333 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))))))))) 170.333 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 170.334 * * * * [progress]: [ 288 / 4754 ] simplifiying candidate # 170.334 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 170.335 * * [simplify]: iters left: 6 (48 enodes) 170.360 * * [simplify]: iters left: 5 (244 enodes) 170.441 * * [simplify]: Extracting #0: cost 1 inf + 0 170.442 * * [simplify]: Extracting #1: cost 3 inf + 0 170.442 * * [simplify]: Extracting #2: cost 6 inf + 0 170.442 * * [simplify]: Extracting #3: cost 10 inf + 0 170.442 * * [simplify]: Extracting #4: cost 20 inf + 0 170.442 * * [simplify]: Extracting #5: cost 134 inf + 0 170.443 * * [simplify]: Extracting #6: cost 293 inf + 1 170.446 * * [simplify]: Extracting #7: cost 345 inf + 1069 170.456 * * [simplify]: Extracting #8: cost 227 inf + 27640 170.483 * * [simplify]: Extracting #9: cost 101 inf + 73624 170.507 * * [simplify]: Extracting #10: cost 16 inf + 108451 170.531 * * [simplify]: Extracting #11: cost 3 inf + 116579 170.573 * * [simplify]: Extracting #12: cost 0 inf + 120774 170.596 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 170.596 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 170.597 * * * * [progress]: [ 289 / 4754 ] simplifiying candidate # 170.597 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 170.597 * * [simplify]: iters left: 6 (49 enodes) 170.615 * * [simplify]: iters left: 5 (250 enodes) 170.699 * * [simplify]: Extracting #0: cost 1 inf + 0 170.699 * * [simplify]: Extracting #1: cost 3 inf + 0 170.699 * * [simplify]: Extracting #2: cost 6 inf + 0 170.699 * * [simplify]: Extracting #3: cost 10 inf + 0 170.699 * * [simplify]: Extracting #4: cost 20 inf + 0 170.699 * * [simplify]: Extracting #5: cost 127 inf + 0 170.700 * * [simplify]: Extracting #6: cost 287 inf + 86 170.702 * * [simplify]: Extracting #7: cost 325 inf + 3961 170.706 * * [simplify]: Extracting #8: cost 227 inf + 19894 170.716 * * [simplify]: Extracting #9: cost 102 inf + 66410 170.739 * * [simplify]: Extracting #10: cost 11 inf + 101724 170.759 * * [simplify]: Extracting #11: cost 2 inf + 108065 170.779 * * [simplify]: Extracting #12: cost 0 inf + 111275 170.800 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))))))) 170.801 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 170.802 * * * * [progress]: [ 290 / 4754 ] simplifiying candidate # 170.802 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 170.802 * * [simplify]: iters left: 6 (43 enodes) 170.813 * * [simplify]: iters left: 5 (216 enodes) 170.891 * * [simplify]: Extracting #0: cost 1 inf + 0 170.891 * * [simplify]: Extracting #1: cost 3 inf + 0 170.891 * * [simplify]: Extracting #2: cost 6 inf + 0 170.891 * * [simplify]: Extracting #3: cost 10 inf + 0 170.891 * * [simplify]: Extracting #4: cost 16 inf + 0 170.892 * * [simplify]: Extracting #5: cost 104 inf + 0 170.893 * * [simplify]: Extracting #6: cost 243 inf + 0 170.894 * * [simplify]: Extracting #7: cost 317 inf + 0 170.898 * * [simplify]: Extracting #8: cost 271 inf + 17560 170.916 * * [simplify]: Extracting #9: cost 131 inf + 68596 170.937 * * [simplify]: Extracting #10: cost 33 inf + 99645 170.958 * * [simplify]: Extracting #11: cost 3 inf + 117063 170.980 * * [simplify]: Extracting #12: cost 1 inf + 118570 171.023 * * [simplify]: Extracting #13: cost 0 inf + 120155 171.065 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 171.065 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 171.067 * * * * [progress]: [ 291 / 4754 ] simplifiying candidate # 171.067 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 171.068 * * [simplify]: iters left: 6 (46 enodes) 171.093 * * [simplify]: iters left: 5 (238 enodes) 171.174 * * [simplify]: Extracting #0: cost 1 inf + 0 171.174 * * [simplify]: Extracting #1: cost 3 inf + 0 171.174 * * [simplify]: Extracting #2: cost 6 inf + 0 171.174 * * [simplify]: Extracting #3: cost 10 inf + 0 171.174 * * [simplify]: Extracting #4: cost 16 inf + 0 171.175 * * [simplify]: Extracting #5: cost 116 inf + 0 171.175 * * [simplify]: Extracting #6: cost 286 inf + 0 171.176 * * [simplify]: Extracting #7: cost 360 inf + 656 171.182 * * [simplify]: Extracting #8: cost 219 inf + 50076 171.198 * * [simplify]: Extracting #9: cost 67 inf + 107651 171.224 * * [simplify]: Extracting #10: cost 5 inf + 126897 171.248 * * [simplify]: Extracting #11: cost 0 inf + 131156 171.272 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 171.272 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 171.273 * * * * [progress]: [ 292 / 4754 ] simplifiying candidate # 171.273 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 171.273 * * [simplify]: iters left: 6 (46 enodes) 171.286 * * [simplify]: iters left: 5 (239 enodes) 171.375 * * [simplify]: Extracting #0: cost 1 inf + 0 171.376 * * [simplify]: Extracting #1: cost 3 inf + 0 171.376 * * [simplify]: Extracting #2: cost 6 inf + 0 171.376 * * [simplify]: Extracting #3: cost 10 inf + 0 171.376 * * [simplify]: Extracting #4: cost 16 inf + 0 171.376 * * [simplify]: Extracting #5: cost 117 inf + 0 171.377 * * [simplify]: Extracting #6: cost 290 inf + 0 171.379 * * [simplify]: Extracting #7: cost 366 inf + 207 171.390 * * [simplify]: Extracting #8: cost 213 inf + 53302 171.425 * * [simplify]: Extracting #9: cost 56 inf + 111108 171.464 * * [simplify]: Extracting #10: cost 9 inf + 124058 171.491 * * [simplify]: Extracting #11: cost 1 inf + 129223 171.519 * * [simplify]: Extracting #12: cost 0 inf + 130568 171.554 * * [simplify]: Extracting #13: cost 0 inf + 130328 171.601 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 171.601 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 171.602 * * * * [progress]: [ 293 / 4754 ] simplifiying candidate # 171.603 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 171.603 * * [simplify]: iters left: 6 (46 enodes) 171.628 * * [simplify]: iters left: 5 (237 enodes) 171.700 * * [simplify]: Extracting #0: cost 1 inf + 0 171.701 * * [simplify]: Extracting #1: cost 3 inf + 0 171.701 * * [simplify]: Extracting #2: cost 6 inf + 0 171.701 * * [simplify]: Extracting #3: cost 10 inf + 0 171.701 * * [simplify]: Extracting #4: cost 16 inf + 0 171.701 * * [simplify]: Extracting #5: cost 115 inf + 0 171.701 * * [simplify]: Extracting #6: cost 278 inf + 0 171.703 * * [simplify]: Extracting #7: cost 341 inf + 777 171.707 * * [simplify]: Extracting #8: cost 251 inf + 27898 171.723 * * [simplify]: Extracting #9: cost 102 inf + 92094 171.742 * * [simplify]: Extracting #10: cost 16 inf + 115966 171.780 * * [simplify]: Extracting #11: cost 2 inf + 119531 171.807 * * [simplify]: Extracting #12: cost 0 inf + 121941 171.839 * * [simplify]: Extracting #13: cost 0 inf + 121901 171.863 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))) 171.863 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 171.863 * * * * [progress]: [ 294 / 4754 ] simplifiying candidate # 171.864 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 171.864 * * [simplify]: iters left: 6 (45 enodes) 171.884 * * [simplify]: iters left: 5 (231 enodes) 171.973 * * [simplify]: Extracting #0: cost 1 inf + 0 171.973 * * [simplify]: Extracting #1: cost 3 inf + 0 171.973 * * [simplify]: Extracting #2: cost 6 inf + 0 171.973 * * [simplify]: Extracting #3: cost 10 inf + 0 171.973 * * [simplify]: Extracting #4: cost 20 inf + 0 171.974 * * [simplify]: Extracting #5: cost 131 inf + 0 171.975 * * [simplify]: Extracting #6: cost 272 inf + 1 171.977 * * [simplify]: Extracting #7: cost 334 inf + 413 171.982 * * [simplify]: Extracting #8: cost 272 inf + 22173 172.003 * * [simplify]: Extracting #9: cost 77 inf + 94798 172.043 * * [simplify]: Extracting #10: cost 15 inf + 116432 172.076 * * [simplify]: Extracting #11: cost 0 inf + 124604 172.103 * * [simplify]: Extracting #12: cost 0 inf + 122459 172.131 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 172.131 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 172.132 * * * * [progress]: [ 295 / 4754 ] simplifiying candidate # 172.132 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 172.133 * * [simplify]: iters left: 6 (46 enodes) 172.147 * * [simplify]: iters left: 5 (237 enodes) 172.218 * * [simplify]: Extracting #0: cost 1 inf + 0 172.218 * * [simplify]: Extracting #1: cost 3 inf + 0 172.218 * * [simplify]: Extracting #2: cost 6 inf + 0 172.218 * * [simplify]: Extracting #3: cost 10 inf + 0 172.218 * * [simplify]: Extracting #4: cost 20 inf + 0 172.218 * * [simplify]: Extracting #5: cost 129 inf + 0 172.219 * * [simplify]: Extracting #6: cost 275 inf + 44 172.223 * * [simplify]: Extracting #7: cost 326 inf + 2001 172.227 * * [simplify]: Extracting #8: cost 234 inf + 33886 172.244 * * [simplify]: Extracting #9: cost 86 inf + 93939 172.273 * * [simplify]: Extracting #10: cost 18 inf + 107278 172.294 * * [simplify]: Extracting #11: cost 0 inf + 116158 172.315 * * [simplify]: Extracting #12: cost 0 inf + 115958 172.347 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 172.347 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 172.348 * * * * [progress]: [ 296 / 4754 ] simplifiying candidate # 172.348 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 172.349 * * [simplify]: iters left: 6 (45 enodes) 172.377 * * [simplify]: iters left: 5 (230 enodes) 172.455 * * [simplify]: Extracting #0: cost 1 inf + 0 172.455 * * [simplify]: Extracting #1: cost 3 inf + 0 172.456 * * [simplify]: Extracting #2: cost 6 inf + 0 172.456 * * [simplify]: Extracting #3: cost 10 inf + 0 172.456 * * [simplify]: Extracting #4: cost 20 inf + 0 172.456 * * [simplify]: Extracting #5: cost 132 inf + 0 172.456 * * [simplify]: Extracting #6: cost 268 inf + 1 172.457 * * [simplify]: Extracting #7: cost 331 inf + 412 172.461 * * [simplify]: Extracting #8: cost 250 inf + 25943 172.471 * * [simplify]: Extracting #9: cost 114 inf + 84409 172.491 * * [simplify]: Extracting #10: cost 20 inf + 112163 172.527 * * [simplify]: Extracting #11: cost 5 inf + 114962 172.573 * * [simplify]: Extracting #12: cost 2 inf + 119117 172.617 * * [simplify]: Extracting #13: cost 0 inf + 122487 172.644 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 172.644 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 172.644 * * * * [progress]: [ 297 / 4754 ] simplifiying candidate # 172.645 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 172.645 * * [simplify]: iters left: 6 (46 enodes) 172.661 * * [simplify]: iters left: 5 (237 enodes) 172.770 * * [simplify]: Extracting #0: cost 1 inf + 0 172.771 * * [simplify]: Extracting #1: cost 3 inf + 0 172.771 * * [simplify]: Extracting #2: cost 6 inf + 0 172.771 * * [simplify]: Extracting #3: cost 10 inf + 0 172.771 * * [simplify]: Extracting #4: cost 20 inf + 0 172.771 * * [simplify]: Extracting #5: cost 128 inf + 0 172.772 * * [simplify]: Extracting #6: cost 275 inf + 44 172.774 * * [simplify]: Extracting #7: cost 328 inf + 1516 172.781 * * [simplify]: Extracting #8: cost 236 inf + 33281 172.804 * * [simplify]: Extracting #9: cost 85 inf + 94631 172.829 * * [simplify]: Extracting #10: cost 18 inf + 107350 172.861 * * [simplify]: Extracting #11: cost 0 inf + 116398 172.891 * * [simplify]: Extracting #12: cost 0 inf + 116198 172.912 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 172.912 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 172.913 * * * * [progress]: [ 298 / 4754 ] simplifiying candidate # 172.913 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 172.914 * * [simplify]: iters left: 6 (46 enodes) 172.926 * * [simplify]: iters left: 5 (231 enodes) 173.021 * * [simplify]: Extracting #0: cost 1 inf + 0 173.021 * * [simplify]: Extracting #1: cost 3 inf + 0 173.021 * * [simplify]: Extracting #2: cost 6 inf + 0 173.021 * * [simplify]: Extracting #3: cost 10 inf + 0 173.021 * * [simplify]: Extracting #4: cost 16 inf + 0 173.021 * * [simplify]: Extracting #5: cost 109 inf + 0 173.022 * * [simplify]: Extracting #6: cost 273 inf + 0 173.023 * * [simplify]: Extracting #7: cost 333 inf + 374 173.026 * * [simplify]: Extracting #8: cost 265 inf + 13311 173.036 * * [simplify]: Extracting #9: cost 129 inf + 59114 173.072 * * [simplify]: Extracting #10: cost 37 inf + 97418 173.116 * * [simplify]: Extracting #11: cost 4 inf + 114843 173.161 * * [simplify]: Extracting #12: cost 1 inf + 118918 173.199 * * [simplify]: Extracting #13: cost 0 inf + 120503 173.222 * * [simplify]: Extracting #14: cost 0 inf + 120463 173.244 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 173.244 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 173.245 * * * * [progress]: [ 299 / 4754 ] simplifiying candidate # 173.245 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 173.246 * * [simplify]: iters left: 6 (49 enodes) 173.259 * * [simplify]: iters left: 5 (252 enodes) 173.320 * * [simplify]: Extracting #0: cost 1 inf + 0 173.320 * * [simplify]: Extracting #1: cost 3 inf + 0 173.321 * * [simplify]: Extracting #2: cost 6 inf + 0 173.321 * * [simplify]: Extracting #3: cost 10 inf + 0 173.321 * * [simplify]: Extracting #4: cost 16 inf + 0 173.321 * * [simplify]: Extracting #5: cost 116 inf + 0 173.321 * * [simplify]: Extracting #6: cost 310 inf + 0 173.323 * * [simplify]: Extracting #7: cost 364 inf + 1881 173.334 * * [simplify]: Extracting #8: cost 197 inf + 42559 173.370 * * [simplify]: Extracting #9: cost 46 inf + 104547 173.416 * * [simplify]: Extracting #10: cost 4 inf + 124591 173.439 * * [simplify]: Extracting #11: cost 0 inf + 129038 173.479 * * [simplify]: Extracting #12: cost 0 inf + 128758 173.526 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 173.526 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 173.528 * * * * [progress]: [ 300 / 4754 ] simplifiying candidate # 173.528 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 173.529 * * [simplify]: iters left: 6 (49 enodes) 173.559 * * [simplify]: iters left: 5 (252 enodes) 173.652 * * [simplify]: Extracting #0: cost 1 inf + 0 173.652 * * [simplify]: Extracting #1: cost 3 inf + 0 173.652 * * [simplify]: Extracting #2: cost 6 inf + 0 173.652 * * [simplify]: Extracting #3: cost 10 inf + 0 173.652 * * [simplify]: Extracting #4: cost 16 inf + 0 173.652 * * [simplify]: Extracting #5: cost 118 inf + 0 173.653 * * [simplify]: Extracting #6: cost 309 inf + 0 173.656 * * [simplify]: Extracting #7: cost 363 inf + 1597 173.675 * * [simplify]: Extracting #8: cost 187 inf + 45037 173.710 * * [simplify]: Extracting #9: cost 37 inf + 104628 173.753 * * [simplify]: Extracting #10: cost 3 inf + 122538 173.784 * * [simplify]: Extracting #11: cost 0 inf + 126933 173.808 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))))))) 173.808 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 173.809 * * * * [progress]: [ 301 / 4754 ] simplifiying candidate # 173.809 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 173.809 * * [simplify]: iters left: 6 (49 enodes) 173.822 * * [simplify]: iters left: 5 (250 enodes) 173.929 * * [simplify]: Extracting #0: cost 1 inf + 0 173.929 * * [simplify]: Extracting #1: cost 3 inf + 0 173.929 * * [simplify]: Extracting #2: cost 6 inf + 0 173.929 * * [simplify]: Extracting #3: cost 10 inf + 0 173.929 * * [simplify]: Extracting #4: cost 16 inf + 0 173.929 * * [simplify]: Extracting #5: cost 112 inf + 0 173.930 * * [simplify]: Extracting #6: cost 290 inf + 0 173.931 * * [simplify]: Extracting #7: cost 340 inf + 1027 173.937 * * [simplify]: Extracting #8: cost 177 inf + 40860 173.951 * * [simplify]: Extracting #9: cost 67 inf + 82514 173.977 * * [simplify]: Extracting #10: cost 4 inf + 110307 174.017 * * [simplify]: Extracting #11: cost 0 inf + 114354 174.056 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 174.057 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 174.057 * * * * [progress]: [ 302 / 4754 ] simplifiying candidate # 174.058 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 174.058 * * [simplify]: iters left: 6 (48 enodes) 174.071 * * [simplify]: iters left: 5 (244 enodes) 174.157 * * [simplify]: Extracting #0: cost 1 inf + 0 174.157 * * [simplify]: Extracting #1: cost 3 inf + 0 174.157 * * [simplify]: Extracting #2: cost 6 inf + 0 174.157 * * [simplify]: Extracting #3: cost 10 inf + 0 174.157 * * [simplify]: Extracting #4: cost 20 inf + 0 174.158 * * [simplify]: Extracting #5: cost 134 inf + 0 174.159 * * [simplify]: Extracting #6: cost 297 inf + 1 174.161 * * [simplify]: Extracting #7: cost 336 inf + 1969 174.172 * * [simplify]: Extracting #8: cost 193 inf + 36181 174.198 * * [simplify]: Extracting #9: cost 83 inf + 80907 174.238 * * [simplify]: Extracting #10: cost 14 inf + 110720 174.275 * * [simplify]: Extracting #11: cost 1 inf + 119989 174.299 * * [simplify]: Extracting #12: cost 0 inf + 121254 174.322 * * [simplify]: Extracting #13: cost 0 inf + 121174 174.358 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 174.358 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 174.358 * * * * [progress]: [ 303 / 4754 ] simplifiying candidate # 174.359 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 174.359 * * [simplify]: iters left: 6 (49 enodes) 174.372 * * [simplify]: iters left: 5 (250 enodes) 174.434 * * [simplify]: Extracting #0: cost 1 inf + 0 174.434 * * [simplify]: Extracting #1: cost 3 inf + 0 174.434 * * [simplify]: Extracting #2: cost 6 inf + 0 174.434 * * [simplify]: Extracting #3: cost 10 inf + 0 174.434 * * [simplify]: Extracting #4: cost 20 inf + 0 174.434 * * [simplify]: Extracting #5: cost 128 inf + 0 174.435 * * [simplify]: Extracting #6: cost 292 inf + 44 174.436 * * [simplify]: Extracting #7: cost 329 inf + 2906 174.440 * * [simplify]: Extracting #8: cost 239 inf + 17466 174.450 * * [simplify]: Extracting #9: cost 103 inf + 65842 174.470 * * [simplify]: Extracting #10: cost 10 inf + 102147 174.502 * * [simplify]: Extracting #11: cost 2 inf + 109065 174.539 * * [simplify]: Extracting #12: cost 0 inf + 111955 174.559 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 174.559 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 174.560 * * * * [progress]: [ 304 / 4754 ] simplifiying candidate # 174.560 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 174.561 * * [simplify]: iters left: 6 (48 enodes) 174.584 * * [simplify]: iters left: 5 (244 enodes) 174.672 * * [simplify]: Extracting #0: cost 1 inf + 0 174.672 * * [simplify]: Extracting #1: cost 3 inf + 0 174.672 * * [simplify]: Extracting #2: cost 6 inf + 0 174.672 * * [simplify]: Extracting #3: cost 10 inf + 0 174.672 * * [simplify]: Extracting #4: cost 20 inf + 0 174.673 * * [simplify]: Extracting #5: cost 134 inf + 0 174.674 * * [simplify]: Extracting #6: cost 297 inf + 1 174.676 * * [simplify]: Extracting #7: cost 340 inf + 1437 174.685 * * [simplify]: Extracting #8: cost 222 inf + 25753 174.711 * * [simplify]: Extracting #9: cost 114 inf + 66581 174.747 * * [simplify]: Extracting #10: cost 17 inf + 109005 174.768 * * [simplify]: Extracting #11: cost 5 inf + 114809 174.797 * * [simplify]: Extracting #12: cost 1 inf + 120269 174.824 * * [simplify]: Extracting #13: cost 0 inf + 121814 174.868 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 174.868 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 174.869 * * * * [progress]: [ 305 / 4754 ] simplifiying candidate # 174.870 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 174.870 * * [simplify]: iters left: 6 (49 enodes) 174.885 * * [simplify]: iters left: 5 (250 enodes) 174.949 * * [simplify]: Extracting #0: cost 1 inf + 0 174.949 * * [simplify]: Extracting #1: cost 3 inf + 0 174.949 * * [simplify]: Extracting #2: cost 6 inf + 0 174.949 * * [simplify]: Extracting #3: cost 10 inf + 0 174.949 * * [simplify]: Extracting #4: cost 20 inf + 0 174.949 * * [simplify]: Extracting #5: cost 127 inf + 0 174.950 * * [simplify]: Extracting #6: cost 291 inf + 86 174.951 * * [simplify]: Extracting #7: cost 325 inf + 3923 174.955 * * [simplify]: Extracting #8: cost 230 inf + 19529 174.965 * * [simplify]: Extracting #9: cost 101 inf + 67191 174.996 * * [simplify]: Extracting #10: cost 10 inf + 102387 175.035 * * [simplify]: Extracting #11: cost 2 inf + 109305 175.055 * * [simplify]: Extracting #12: cost 0 inf + 112195 175.087 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 175.087 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 175.088 * * * * [progress]: [ 306 / 4754 ] simplifiying candidate # 175.088 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 175.089 * * [simplify]: iters left: 6 (45 enodes) 175.112 * * [simplify]: iters left: 5 (233 enodes) 175.221 * * [simplify]: Extracting #0: cost 1 inf + 0 175.221 * * [simplify]: Extracting #1: cost 3 inf + 0 175.221 * * [simplify]: Extracting #2: cost 6 inf + 0 175.221 * * [simplify]: Extracting #3: cost 10 inf + 0 175.221 * * [simplify]: Extracting #4: cost 16 inf + 0 175.221 * * [simplify]: Extracting #5: cost 104 inf + 0 175.222 * * [simplify]: Extracting #6: cost 263 inf + 2 175.224 * * [simplify]: Extracting #7: cost 314 inf + 2943 175.228 * * [simplify]: Extracting #8: cost 242 inf + 14505 175.242 * * [simplify]: Extracting #9: cost 117 inf + 49902 175.268 * * [simplify]: Extracting #10: cost 35 inf + 85607 175.297 * * [simplify]: Extracting #11: cost 4 inf + 99348 175.315 * * [simplify]: Extracting #12: cost 2 inf + 102347 175.335 * * [simplify]: Extracting #13: cost 0 inf + 105557 175.370 * * [simplify]: Extracting #14: cost 0 inf + 105375 175.409 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 175.409 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 175.410 * * * * [progress]: [ 307 / 4754 ] simplifiying candidate # 175.411 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 175.411 * * [simplify]: iters left: 6 (45 enodes) 175.432 * * [simplify]: iters left: 5 (231 enodes) 175.485 * * [simplify]: Extracting #0: cost 1 inf + 0 175.486 * * [simplify]: Extracting #1: cost 3 inf + 0 175.486 * * [simplify]: Extracting #2: cost 6 inf + 0 175.486 * * [simplify]: Extracting #3: cost 10 inf + 0 175.486 * * [simplify]: Extracting #4: cost 19 inf + 0 175.486 * * [simplify]: Extracting #5: cost 111 inf + 0 175.486 * * [simplify]: Extracting #6: cost 264 inf + 0 175.487 * * [simplify]: Extracting #7: cost 315 inf + 2819 175.489 * * [simplify]: Extracting #8: cost 256 inf + 11964 175.499 * * [simplify]: Extracting #9: cost 127 inf + 46951 175.523 * * [simplify]: Extracting #10: cost 26 inf + 88705 175.558 * * [simplify]: Extracting #11: cost 1 inf + 101635 175.594 * * [simplify]: Extracting #12: cost 0 inf + 102740 175.631 * * [simplify]: Extracting #13: cost 0 inf + 102660 175.668 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 175.669 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 175.670 * * * * [progress]: [ 308 / 4754 ] simplifiying candidate # 175.670 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 175.671 * * [simplify]: iters left: 6 (43 enodes) 175.694 * * [simplify]: iters left: 5 (222 enodes) 175.773 * * [simplify]: Extracting #0: cost 1 inf + 0 175.773 * * [simplify]: Extracting #1: cost 3 inf + 0 175.773 * * [simplify]: Extracting #2: cost 6 inf + 0 175.773 * * [simplify]: Extracting #3: cost 10 inf + 0 175.773 * * [simplify]: Extracting #4: cost 16 inf + 0 175.773 * * [simplify]: Extracting #5: cost 108 inf + 0 175.774 * * [simplify]: Extracting #6: cost 254 inf + 0 175.775 * * [simplify]: Extracting #7: cost 323 inf + 1343 175.778 * * [simplify]: Extracting #8: cost 250 inf + 15615 175.784 * * [simplify]: Extracting #9: cost 170 inf + 40501 175.801 * * [simplify]: Extracting #10: cost 35 inf + 96415 175.837 * * [simplify]: Extracting #11: cost 3 inf + 115448 175.879 * * [simplify]: Extracting #12: cost 0 inf + 119243 175.903 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 175.903 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 175.904 * * * * [progress]: [ 309 / 4754 ] simplifiying candidate # 175.905 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 175.905 * * [simplify]: iters left: 6 (37 enodes) 175.915 * * [simplify]: iters left: 5 (185 enodes) 175.971 * * [simplify]: Extracting #0: cost 1 inf + 0 175.971 * * [simplify]: Extracting #1: cost 4 inf + 0 175.971 * * [simplify]: Extracting #2: cost 7 inf + 0 175.971 * * [simplify]: Extracting #3: cost 10 inf + 0 175.971 * * [simplify]: Extracting #4: cost 62 inf + 0 175.972 * * [simplify]: Extracting #5: cost 176 inf + 0 175.972 * * [simplify]: Extracting #6: cost 239 inf + 86 175.974 * * [simplify]: Extracting #7: cost 194 inf + 16709 175.984 * * [simplify]: Extracting #8: cost 59 inf + 54670 175.996 * * [simplify]: Extracting #9: cost 10 inf + 66274 176.011 * * [simplify]: Extracting #10: cost 1 inf + 73610 176.035 * * [simplify]: Extracting #11: cost 0 inf + 74835 176.050 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 176.050 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 176.051 * * * * [progress]: [ 310 / 4754 ] simplifiying candidate # 176.052 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 176.052 * * [simplify]: iters left: 6 (43 enodes) 176.067 * * [simplify]: iters left: 5 (216 enodes) 176.127 * * [simplify]: Extracting #0: cost 1 inf + 0 176.127 * * [simplify]: Extracting #1: cost 4 inf + 0 176.127 * * [simplify]: Extracting #2: cost 7 inf + 0 176.127 * * [simplify]: Extracting #3: cost 10 inf + 0 176.127 * * [simplify]: Extracting #4: cost 77 inf + 0 176.128 * * [simplify]: Extracting #5: cost 209 inf + 0 176.130 * * [simplify]: Extracting #6: cost 268 inf + 982 176.136 * * [simplify]: Extracting #7: cost 175 inf + 26600 176.148 * * [simplify]: Extracting #8: cost 41 inf + 85378 176.163 * * [simplify]: Extracting #9: cost 12 inf + 82383 176.190 * * [simplify]: Extracting #10: cost 2 inf + 89107 176.212 * * [simplify]: Extracting #11: cost 0 inf + 91557 176.230 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 176.230 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 176.230 * * * * [progress]: [ 311 / 4754 ] simplifiying candidate # 176.231 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 176.231 * * [simplify]: iters left: 6 (43 enodes) 176.248 * * [simplify]: iters left: 5 (224 enodes) 176.356 * * [simplify]: Extracting #0: cost 1 inf + 0 176.356 * * [simplify]: Extracting #1: cost 3 inf + 0 176.357 * * [simplify]: Extracting #2: cost 6 inf + 0 176.357 * * [simplify]: Extracting #3: cost 10 inf + 0 176.357 * * [simplify]: Extracting #4: cost 16 inf + 0 176.357 * * [simplify]: Extracting #5: cost 103 inf + 0 176.358 * * [simplify]: Extracting #6: cost 255 inf + 0 176.360 * * [simplify]: Extracting #7: cost 314 inf + 453 176.365 * * [simplify]: Extracting #8: cost 253 inf + 12357 176.376 * * [simplify]: Extracting #9: cost 159 inf + 40084 176.392 * * [simplify]: Extracting #10: cost 27 inf + 91527 176.422 * * [simplify]: Extracting #11: cost 2 inf + 105543 176.461 * * [simplify]: Extracting #12: cost 0 inf + 108073 176.495 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))))) 176.495 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 176.496 * * * * [progress]: [ 312 / 4754 ] simplifiying candidate # 176.496 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 176.496 * * [simplify]: iters left: 6 (43 enodes) 176.508 * * [simplify]: iters left: 5 (219 enodes) 176.572 * * [simplify]: Extracting #0: cost 1 inf + 0 176.572 * * [simplify]: Extracting #1: cost 3 inf + 0 176.572 * * [simplify]: Extracting #2: cost 6 inf + 0 176.573 * * [simplify]: Extracting #3: cost 10 inf + 0 176.573 * * [simplify]: Extracting #4: cost 20 inf + 0 176.573 * * [simplify]: Extracting #5: cost 124 inf + 0 176.574 * * [simplify]: Extracting #6: cost 248 inf + 1 176.576 * * [simplify]: Extracting #7: cost 296 inf + 1433 176.581 * * [simplify]: Extracting #8: cost 234 inf + 13570 176.592 * * [simplify]: Extracting #9: cost 154 inf + 36559 176.615 * * [simplify]: Extracting #10: cost 28 inf + 88171 176.638 * * [simplify]: Extracting #11: cost 3 inf + 103837 176.675 * * [simplify]: Extracting #12: cost 1 inf + 106887 176.700 * * [simplify]: Extracting #13: cost 0 inf + 108432 176.728 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 176.728 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 176.729 * * * * [progress]: [ 313 / 4754 ] simplifiying candidate # 176.730 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 176.730 * * [simplify]: iters left: 6 (43 enodes) 176.753 * * [simplify]: iters left: 5 (220 enodes) 176.824 * * [simplify]: Extracting #0: cost 1 inf + 0 176.824 * * [simplify]: Extracting #1: cost 3 inf + 0 176.824 * * [simplify]: Extracting #2: cost 6 inf + 0 176.824 * * [simplify]: Extracting #3: cost 10 inf + 0 176.825 * * [simplify]: Extracting #4: cost 20 inf + 0 176.825 * * [simplify]: Extracting #5: cost 113 inf + 0 176.826 * * [simplify]: Extracting #6: cost 244 inf + 44 176.828 * * [simplify]: Extracting #7: cost 297 inf + 1391 176.832 * * [simplify]: Extracting #8: cost 227 inf + 14390 176.843 * * [simplify]: Extracting #9: cost 146 inf + 37890 176.863 * * [simplify]: Extracting #10: cost 25 inf + 82654 176.888 * * [simplify]: Extracting #11: cost 3 inf + 97524 176.922 * * [simplify]: Extracting #12: cost 1 inf + 100574 176.941 * * [simplify]: Extracting #13: cost 0 inf + 102119 176.970 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 176.971 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 176.972 * * * * [progress]: [ 314 / 4754 ] simplifiying candidate # 176.972 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 176.973 * * [simplify]: iters left: 6 (43 enodes) 176.989 * * [simplify]: iters left: 5 (218 enodes) 177.071 * * [simplify]: Extracting #0: cost 1 inf + 0 177.071 * * [simplify]: Extracting #1: cost 3 inf + 0 177.071 * * [simplify]: Extracting #2: cost 6 inf + 0 177.071 * * [simplify]: Extracting #3: cost 10 inf + 0 177.071 * * [simplify]: Extracting #4: cost 20 inf + 0 177.072 * * [simplify]: Extracting #5: cost 125 inf + 0 177.073 * * [simplify]: Extracting #6: cost 244 inf + 1 177.075 * * [simplify]: Extracting #7: cost 291 inf + 1555 177.083 * * [simplify]: Extracting #8: cost 213 inf + 26542 177.102 * * [simplify]: Extracting #9: cost 93 inf + 75322 177.137 * * [simplify]: Extracting #10: cost 16 inf + 95670 177.158 * * [simplify]: Extracting #11: cost 3 inf + 103246 177.186 * * [simplify]: Extracting #12: cost 1 inf + 105995 177.225 * * [simplify]: Extracting #13: cost 0 inf + 107540 177.255 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 177.255 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 177.255 * * * * [progress]: [ 315 / 4754 ] simplifiying candidate # 177.256 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 177.256 * * [simplify]: iters left: 6 (43 enodes) 177.269 * * [simplify]: iters left: 5 (220 enodes) 177.367 * * [simplify]: Extracting #0: cost 1 inf + 0 177.367 * * [simplify]: Extracting #1: cost 3 inf + 0 177.367 * * [simplify]: Extracting #2: cost 6 inf + 0 177.367 * * [simplify]: Extracting #3: cost 10 inf + 0 177.367 * * [simplify]: Extracting #4: cost 20 inf + 0 177.367 * * [simplify]: Extracting #5: cost 112 inf + 0 177.368 * * [simplify]: Extracting #6: cost 244 inf + 44 177.370 * * [simplify]: Extracting #7: cost 295 inf + 1634 177.375 * * [simplify]: Extracting #8: cost 220 inf + 16060 177.383 * * [simplify]: Extracting #9: cost 153 inf + 35850 177.398 * * [simplify]: Extracting #10: cost 23 inf + 85870 177.428 * * [simplify]: Extracting #11: cost 3 inf + 97804 177.447 * * [simplify]: Extracting #12: cost 1 inf + 100934 177.475 * * [simplify]: Extracting #13: cost 0 inf + 102519 177.512 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 177.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 177.513 * * * * [progress]: [ 316 / 4754 ] simplifiying candidate # 177.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 177.514 * * [simplify]: iters left: 6 (48 enodes) 177.527 * * [simplify]: iters left: 5 (252 enodes) 177.602 * * [simplify]: Extracting #0: cost 1 inf + 0 177.602 * * [simplify]: Extracting #1: cost 3 inf + 0 177.602 * * [simplify]: Extracting #2: cost 6 inf + 0 177.602 * * [simplify]: Extracting #3: cost 10 inf + 0 177.602 * * [simplify]: Extracting #4: cost 16 inf + 0 177.603 * * [simplify]: Extracting #5: cost 112 inf + 0 177.603 * * [simplify]: Extracting #6: cost 295 inf + 0 177.605 * * [simplify]: Extracting #7: cost 367 inf + 1394 177.611 * * [simplify]: Extracting #8: cost 196 inf + 44417 177.640 * * [simplify]: Extracting #9: cost 35 inf + 113995 177.666 * * [simplify]: Extracting #10: cost 12 inf + 124686 177.712 * * [simplify]: Extracting #11: cost 1 inf + 134185 177.742 * * [simplify]: Extracting #12: cost 0 inf + 135970 177.793 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 177.793 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 177.795 * * * * [progress]: [ 317 / 4754 ] simplifiying candidate # 177.795 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 177.796 * * [simplify]: iters left: 6 (46 enodes) 177.821 * * [simplify]: iters left: 5 (240 enodes) 177.912 * * [simplify]: Extracting #0: cost 1 inf + 0 177.913 * * [simplify]: Extracting #1: cost 3 inf + 0 177.913 * * [simplify]: Extracting #2: cost 6 inf + 0 177.913 * * [simplify]: Extracting #3: cost 10 inf + 0 177.913 * * [simplify]: Extracting #4: cost 16 inf + 0 177.913 * * [simplify]: Extracting #5: cost 105 inf + 0 177.913 * * [simplify]: Extracting #6: cost 278 inf + 0 177.915 * * [simplify]: Extracting #7: cost 337 inf + 1149 177.919 * * [simplify]: Extracting #8: cost 216 inf + 20965 177.935 * * [simplify]: Extracting #9: cost 125 inf + 54632 177.967 * * [simplify]: Extracting #10: cost 44 inf + 92827 177.989 * * [simplify]: Extracting #11: cost 7 inf + 117962 178.016 * * [simplify]: Extracting #12: cost 0 inf + 125897 178.051 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))))) 178.051 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 178.052 * * * * [progress]: [ 318 / 4754 ] simplifiying candidate # 178.053 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 178.054 * * [simplify]: iters left: 6 (48 enodes) 178.074 * * [simplify]: iters left: 5 (250 enodes) 178.158 * * [simplify]: Extracting #0: cost 1 inf + 0 178.158 * * [simplify]: Extracting #1: cost 3 inf + 0 178.158 * * [simplify]: Extracting #2: cost 6 inf + 0 178.158 * * [simplify]: Extracting #3: cost 10 inf + 0 178.159 * * [simplify]: Extracting #4: cost 16 inf + 0 178.159 * * [simplify]: Extracting #5: cost 116 inf + 0 178.163 * * [simplify]: Extracting #6: cost 287 inf + 0 178.165 * * [simplify]: Extracting #7: cost 358 inf + 1031 178.179 * * [simplify]: Extracting #8: cost 197 inf + 45654 178.201 * * [simplify]: Extracting #9: cost 35 inf + 115938 178.237 * * [simplify]: Extracting #10: cost 7 inf + 129598 178.263 * * [simplify]: Extracting #11: cost 0 inf + 135252 178.308 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 178.308 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 178.310 * * * * [progress]: [ 319 / 4754 ] simplifiying candidate # 178.310 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 178.311 * * [simplify]: iters left: 6 (48 enodes) 178.336 * * [simplify]: iters left: 5 (252 enodes) 178.426 * * [simplify]: Extracting #0: cost 1 inf + 0 178.426 * * [simplify]: Extracting #1: cost 3 inf + 0 178.426 * * [simplify]: Extracting #2: cost 6 inf + 0 178.426 * * [simplify]: Extracting #3: cost 10 inf + 0 178.426 * * [simplify]: Extracting #4: cost 16 inf + 0 178.427 * * [simplify]: Extracting #5: cost 109 inf + 0 178.427 * * [simplify]: Extracting #6: cost 287 inf + 0 178.429 * * [simplify]: Extracting #7: cost 348 inf + 908 178.433 * * [simplify]: Extracting #8: cost 224 inf + 25576 178.450 * * [simplify]: Extracting #9: cost 90 inf + 74585 178.479 * * [simplify]: Extracting #10: cost 12 inf + 108891 178.505 * * [simplify]: Extracting #11: cost 3 inf + 115771 178.551 * * [simplify]: Extracting #12: cost 0 inf + 120486 178.595 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1))))))) 178.595 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 178.596 * * * * [progress]: [ 320 / 4754 ] simplifiying candidate # 178.597 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 178.597 * * [simplify]: iters left: 6 (48 enodes) 178.621 * * [simplify]: iters left: 5 (252 enodes) 178.689 * * [simplify]: Extracting #0: cost 1 inf + 0 178.689 * * [simplify]: Extracting #1: cost 3 inf + 0 178.689 * * [simplify]: Extracting #2: cost 6 inf + 0 178.689 * * [simplify]: Extracting #3: cost 10 inf + 0 178.689 * * [simplify]: Extracting #4: cost 20 inf + 0 178.690 * * [simplify]: Extracting #5: cost 133 inf + 0 178.691 * * [simplify]: Extracting #6: cost 303 inf + 1 178.694 * * [simplify]: Extracting #7: cost 358 inf + 1557 178.709 * * [simplify]: Extracting #8: cost 176 inf + 53199 178.746 * * [simplify]: Extracting #9: cost 22 inf + 115641 178.772 * * [simplify]: Extracting #10: cost 6 inf + 122992 178.817 * * [simplify]: Extracting #11: cost 1 inf + 129984 178.864 * * [simplify]: Extracting #12: cost 0 inf + 131849 178.912 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1))))))) 178.912 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 178.913 * * * * [progress]: [ 321 / 4754 ] simplifiying candidate # 178.913 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 178.913 * * [simplify]: iters left: 6 (48 enodes) 178.926 * * [simplify]: iters left: 5 (252 enodes) 178.994 * * [simplify]: Extracting #0: cost 1 inf + 0 178.994 * * [simplify]: Extracting #1: cost 3 inf + 0 178.994 * * [simplify]: Extracting #2: cost 6 inf + 0 178.994 * * [simplify]: Extracting #3: cost 10 inf + 0 178.994 * * [simplify]: Extracting #4: cost 20 inf + 0 178.995 * * [simplify]: Extracting #5: cost 125 inf + 0 178.996 * * [simplify]: Extracting #6: cost 291 inf + 44 178.999 * * [simplify]: Extracting #7: cost 347 inf + 1683 179.012 * * [simplify]: Extracting #8: cost 181 inf + 44715 179.047 * * [simplify]: Extracting #9: cost 33 inf + 100105 179.078 * * [simplify]: Extracting #10: cost 6 inf + 110469 179.105 * * [simplify]: Extracting #11: cost 0 inf + 120259 179.143 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* (* phi1 phi1) phi1) (* (* phi2 (- phi2)) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 179.143 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* (* phi1 phi1) phi1) (* (* phi2 (- phi2)) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 179.144 * * * * [progress]: [ 322 / 4754 ] simplifiying candidate # 179.144 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 179.144 * * [simplify]: iters left: 6 (48 enodes) 179.157 * * [simplify]: iters left: 5 (252 enodes) 179.254 * * [simplify]: Extracting #0: cost 1 inf + 0 179.254 * * [simplify]: Extracting #1: cost 3 inf + 0 179.254 * * [simplify]: Extracting #2: cost 6 inf + 0 179.254 * * [simplify]: Extracting #3: cost 10 inf + 0 179.254 * * [simplify]: Extracting #4: cost 20 inf + 0 179.255 * * [simplify]: Extracting #5: cost 133 inf + 0 179.255 * * [simplify]: Extracting #6: cost 302 inf + 1 179.257 * * [simplify]: Extracting #7: cost 360 inf + 1351 179.260 * * [simplify]: Extracting #8: cost 256 inf + 19245 179.284 * * [simplify]: Extracting #9: cost 74 inf + 89484 179.327 * * [simplify]: Extracting #10: cost 8 inf + 121780 179.360 * * [simplify]: Extracting #11: cost 1 inf + 130140 179.400 * * [simplify]: Extracting #12: cost 0 inf + 131925 179.430 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1))))))) 179.430 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 179.432 * * * * [progress]: [ 323 / 4754 ] simplifiying candidate # 179.432 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 179.433 * * [simplify]: iters left: 6 (48 enodes) 179.446 * * [simplify]: iters left: 5 (252 enodes) 179.551 * * [simplify]: Extracting #0: cost 1 inf + 0 179.552 * * [simplify]: Extracting #1: cost 3 inf + 0 179.552 * * [simplify]: Extracting #2: cost 6 inf + 0 179.552 * * [simplify]: Extracting #3: cost 10 inf + 0 179.552 * * [simplify]: Extracting #4: cost 20 inf + 0 179.552 * * [simplify]: Extracting #5: cost 124 inf + 0 179.553 * * [simplify]: Extracting #6: cost 290 inf + 44 179.556 * * [simplify]: Extracting #7: cost 344 inf + 1767 179.569 * * [simplify]: Extracting #8: cost 176 inf + 45454 179.597 * * [simplify]: Extracting #9: cost 28 inf + 102054 179.624 * * [simplify]: Extracting #10: cost 9 inf + 109829 179.649 * * [simplify]: Extracting #11: cost 0 inf + 120255 179.685 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* (* phi1 phi1) phi1) (* (* phi2 (- phi2)) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)))))) 179.685 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* (* phi1 phi1) phi1) (* (* phi2 (- phi2)) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 179.687 * * * * [progress]: [ 324 / 4754 ] simplifiying candidate # 179.687 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 179.688 * * [simplify]: iters left: 6 (48 enodes) 179.717 * * [simplify]: iters left: 5 (251 enodes) 179.826 * * [simplify]: Extracting #0: cost 1 inf + 0 179.826 * * [simplify]: Extracting #1: cost 3 inf + 0 179.826 * * [simplify]: Extracting #2: cost 6 inf + 0 179.826 * * [simplify]: Extracting #3: cost 10 inf + 0 179.827 * * [simplify]: Extracting #4: cost 16 inf + 0 179.827 * * [simplify]: Extracting #5: cost 112 inf + 0 179.827 * * [simplify]: Extracting #6: cost 296 inf + 0 179.832 * * [simplify]: Extracting #7: cost 367 inf + 988 179.839 * * [simplify]: Extracting #8: cost 198 inf + 42546 179.869 * * [simplify]: Extracting #9: cost 58 inf + 102579 179.908 * * [simplify]: Extracting #10: cost 9 inf + 123978 179.933 * * [simplify]: Extracting #11: cost 2 inf + 131527 179.983 * * [simplify]: Extracting #12: cost 0 inf + 135097 180.010 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ lambda2 lambda1)))))) 180.011 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 180.011 * * * * [progress]: [ 325 / 4754 ] simplifiying candidate # 180.012 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 180.012 * * [simplify]: iters left: 6 (46 enodes) 180.027 * * [simplify]: iters left: 5 (237 enodes) 180.111 * * [simplify]: Extracting #0: cost 1 inf + 0 180.111 * * [simplify]: Extracting #1: cost 3 inf + 0 180.111 * * [simplify]: Extracting #2: cost 6 inf + 0 180.111 * * [simplify]: Extracting #3: cost 10 inf + 0 180.111 * * [simplify]: Extracting #4: cost 16 inf + 0 180.111 * * [simplify]: Extracting #5: cost 106 inf + 0 180.112 * * [simplify]: Extracting #6: cost 271 inf + 0 180.115 * * [simplify]: Extracting #7: cost 323 inf + 1231 180.122 * * [simplify]: Extracting #8: cost 219 inf + 17282 180.138 * * [simplify]: Extracting #9: cost 134 inf + 48129 180.171 * * [simplify]: Extracting #10: cost 30 inf + 98844 180.202 * * [simplify]: Extracting #11: cost 4 inf + 114665 180.227 * * [simplify]: Extracting #12: cost 1 inf + 119260 180.252 * * [simplify]: Extracting #13: cost 0 inf + 120965 180.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)))))))) 180.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 180.285 * * * * [progress]: [ 326 / 4754 ] simplifiying candidate # 180.285 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 180.286 * * [simplify]: iters left: 6 (48 enodes) 180.314 * * [simplify]: iters left: 5 (249 enodes) 180.429 * * [simplify]: Extracting #0: cost 1 inf + 0 180.429 * * [simplify]: Extracting #1: cost 3 inf + 0 180.429 * * [simplify]: Extracting #2: cost 6 inf + 0 180.429 * * [simplify]: Extracting #3: cost 10 inf + 0 180.429 * * [simplify]: Extracting #4: cost 16 inf + 0 180.430 * * [simplify]: Extracting #5: cost 113 inf + 0 180.430 * * [simplify]: Extracting #6: cost 275 inf + 0 180.432 * * [simplify]: Extracting #7: cost 334 inf + 2003 180.439 * * [simplify]: Extracting #8: cost 196 inf + 31162 180.453 * * [simplify]: Extracting #9: cost 86 inf + 78382 180.490 * * [simplify]: Extracting #10: cost 11 inf + 114546 180.527 * * [simplify]: Extracting #11: cost 0 inf + 125138 180.552 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))))))) 180.553 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 180.554 * * * * [progress]: [ 327 / 4754 ] simplifiying candidate # 180.555 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 180.555 * * [simplify]: iters left: 6 (48 enodes) 180.585 * * [simplify]: iters left: 5 (251 enodes) 180.676 * * [simplify]: Extracting #0: cost 1 inf + 0 180.676 * * [simplify]: Extracting #1: cost 3 inf + 0 180.676 * * [simplify]: Extracting #2: cost 6 inf + 0 180.676 * * [simplify]: Extracting #3: cost 10 inf + 0 180.677 * * [simplify]: Extracting #4: cost 16 inf + 0 180.677 * * [simplify]: Extracting #5: cost 109 inf + 0 180.678 * * [simplify]: Extracting #6: cost 289 inf + 0 180.680 * * [simplify]: Extracting #7: cost 346 inf + 946 180.690 * * [simplify]: Extracting #8: cost 209 inf + 28431 180.710 * * [simplify]: Extracting #9: cost 70 inf + 82829 180.730 * * [simplify]: Extracting #10: cost 8 inf + 112359 180.770 * * [simplify]: Extracting #11: cost 1 inf + 118133 180.816 * * [simplify]: Extracting #12: cost 0 inf + 119878 180.860 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda2 lambda1)))))) 180.860 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 180.861 * * * * [progress]: [ 328 / 4754 ] simplifiying candidate # 180.861 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 180.862 * * [simplify]: iters left: 6 (48 enodes) 180.889 * * [simplify]: iters left: 5 (251 enodes) 181.003 * * [simplify]: Extracting #0: cost 1 inf + 0 181.003 * * [simplify]: Extracting #1: cost 3 inf + 0 181.003 * * [simplify]: Extracting #2: cost 6 inf + 0 181.003 * * [simplify]: Extracting #3: cost 10 inf + 0 181.003 * * [simplify]: Extracting #4: cost 20 inf + 0 181.003 * * [simplify]: Extracting #5: cost 133 inf + 0 181.004 * * [simplify]: Extracting #6: cost 303 inf + 1 181.005 * * [simplify]: Extracting #7: cost 361 inf + 584 181.010 * * [simplify]: Extracting #8: cost 217 inf + 33720 181.029 * * [simplify]: Extracting #9: cost 58 inf + 96003 181.074 * * [simplify]: Extracting #10: cost 5 inf + 124742 181.124 * * [simplify]: Extracting #11: cost 0 inf + 130132 181.169 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2))))))) 181.169 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 181.170 * * * * [progress]: [ 329 / 4754 ] simplifiying candidate # 181.170 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 181.171 * * [simplify]: iters left: 6 (48 enodes) 181.194 * * [simplify]: iters left: 5 (251 enodes) 181.276 * * [simplify]: Extracting #0: cost 1 inf + 0 181.276 * * [simplify]: Extracting #1: cost 3 inf + 0 181.276 * * [simplify]: Extracting #2: cost 6 inf + 0 181.276 * * [simplify]: Extracting #3: cost 10 inf + 0 181.276 * * [simplify]: Extracting #4: cost 20 inf + 0 181.276 * * [simplify]: Extracting #5: cost 125 inf + 0 181.277 * * [simplify]: Extracting #6: cost 292 inf + 44 181.279 * * [simplify]: Extracting #7: cost 339 inf + 2089 181.285 * * [simplify]: Extracting #8: cost 175 inf + 43169 181.304 * * [simplify]: Extracting #9: cost 35 inf + 99314 181.340 * * [simplify]: Extracting #10: cost 6 inf + 114578 181.383 * * [simplify]: Extracting #11: cost 0 inf + 118567 181.433 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 181.433 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 181.434 * * * * [progress]: [ 330 / 4754 ] simplifiying candidate # 181.435 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 181.435 * * [simplify]: iters left: 6 (48 enodes) 181.461 * * [simplify]: iters left: 5 (251 enodes) 181.558 * * [simplify]: Extracting #0: cost 1 inf + 0 181.558 * * [simplify]: Extracting #1: cost 3 inf + 0 181.558 * * [simplify]: Extracting #2: cost 6 inf + 0 181.559 * * [simplify]: Extracting #3: cost 10 inf + 0 181.559 * * [simplify]: Extracting #4: cost 20 inf + 0 181.559 * * [simplify]: Extracting #5: cost 133 inf + 0 181.559 * * [simplify]: Extracting #6: cost 303 inf + 1 181.561 * * [simplify]: Extracting #7: cost 353 inf + 1438 181.573 * * [simplify]: Extracting #8: cost 202 inf + 39510 181.610 * * [simplify]: Extracting #9: cost 61 inf + 94989 181.644 * * [simplify]: Extracting #10: cost 5 inf + 125542 181.675 * * [simplify]: Extracting #11: cost 0 inf + 130932 181.723 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 181.723 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 181.724 * * * * [progress]: [ 331 / 4754 ] simplifiying candidate # 181.724 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 181.725 * * [simplify]: iters left: 6 (48 enodes) 181.747 * * [simplify]: iters left: 5 (251 enodes) 181.817 * * [simplify]: Extracting #0: cost 1 inf + 0 181.817 * * [simplify]: Extracting #1: cost 3 inf + 0 181.817 * * [simplify]: Extracting #2: cost 6 inf + 0 181.817 * * [simplify]: Extracting #3: cost 10 inf + 0 181.818 * * [simplify]: Extracting #4: cost 20 inf + 0 181.818 * * [simplify]: Extracting #5: cost 124 inf + 0 181.818 * * [simplify]: Extracting #6: cost 292 inf + 44 181.823 * * [simplify]: Extracting #7: cost 339 inf + 2169 181.836 * * [simplify]: Extracting #8: cost 181 inf + 41976 181.871 * * [simplify]: Extracting #9: cost 34 inf + 100158 181.913 * * [simplify]: Extracting #10: cost 4 inf + 116815 181.956 * * [simplify]: Extracting #11: cost 0 inf + 118887 181.999 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 181.999 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 182.001 * * * * [progress]: [ 332 / 4754 ] simplifiying candidate # 182.001 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 182.002 * * [simplify]: iters left: 6 (48 enodes) 182.017 * * [simplify]: iters left: 5 (256 enodes) 182.107 * * [simplify]: Extracting #0: cost 1 inf + 0 182.108 * * [simplify]: Extracting #1: cost 3 inf + 0 182.108 * * [simplify]: Extracting #2: cost 6 inf + 0 182.108 * * [simplify]: Extracting #3: cost 10 inf + 0 182.108 * * [simplify]: Extracting #4: cost 16 inf + 0 182.108 * * [simplify]: Extracting #5: cost 118 inf + 0 182.110 * * [simplify]: Extracting #6: cost 314 inf + 0 182.113 * * [simplify]: Extracting #7: cost 370 inf + 1883 182.121 * * [simplify]: Extracting #8: cost 221 inf + 35113 182.138 * * [simplify]: Extracting #9: cost 45 inf + 103544 182.173 * * [simplify]: Extracting #10: cost 5 inf + 124967 182.203 * * [simplify]: Extracting #11: cost 0 inf + 130426 182.239 * * [simplify]: Extracting #12: cost 0 inf + 130066 182.277 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 182.277 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 182.278 * * * * [progress]: [ 333 / 4754 ] simplifiying candidate # 182.279 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 182.279 * * [simplify]: iters left: 6 (46 enodes) 182.304 * * [simplify]: iters left: 5 (240 enodes) 182.390 * * [simplify]: Extracting #0: cost 1 inf + 0 182.390 * * [simplify]: Extracting #1: cost 3 inf + 0 182.390 * * [simplify]: Extracting #2: cost 6 inf + 0 182.390 * * [simplify]: Extracting #3: cost 10 inf + 0 182.390 * * [simplify]: Extracting #4: cost 16 inf + 0 182.391 * * [simplify]: Extracting #5: cost 109 inf + 0 182.392 * * [simplify]: Extracting #6: cost 282 inf + 0 182.394 * * [simplify]: Extracting #7: cost 325 inf + 1477 182.405 * * [simplify]: Extracting #8: cost 181 inf + 34673 182.425 * * [simplify]: Extracting #9: cost 109 inf + 57805 182.459 * * [simplify]: Extracting #10: cost 34 inf + 92479 182.500 * * [simplify]: Extracting #11: cost 3 inf + 111414 182.543 * * [simplify]: Extracting #12: cost 0 inf + 115809 182.585 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))))) 182.585 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 182.586 * * * * [progress]: [ 334 / 4754 ] simplifiying candidate # 182.586 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 182.587 * * [simplify]: iters left: 6 (48 enodes) 182.615 * * [simplify]: iters left: 5 (250 enodes) 182.709 * * [simplify]: Extracting #0: cost 1 inf + 0 182.709 * * [simplify]: Extracting #1: cost 3 inf + 0 182.709 * * [simplify]: Extracting #2: cost 6 inf + 0 182.709 * * [simplify]: Extracting #3: cost 10 inf + 0 182.709 * * [simplify]: Extracting #4: cost 16 inf + 0 182.709 * * [simplify]: Extracting #5: cost 121 inf + 0 182.710 * * [simplify]: Extracting #6: cost 288 inf + 0 182.713 * * [simplify]: Extracting #7: cost 356 inf + 1109 182.731 * * [simplify]: Extracting #8: cost 182 inf + 47483 182.771 * * [simplify]: Extracting #9: cost 29 inf + 111448 182.815 * * [simplify]: Extracting #10: cost 6 inf + 122423 182.842 * * [simplify]: Extracting #11: cost 0 inf + 125319 182.874 * * [simplify]: Extracting #12: cost 0 inf + 125199 182.897 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 182.897 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 182.898 * * * * [progress]: [ 335 / 4754 ] simplifiying candidate # 182.898 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 182.899 * * [simplify]: iters left: 6 (48 enodes) 182.925 * * [simplify]: iters left: 5 (256 enodes) 183.009 * * [simplify]: Extracting #0: cost 1 inf + 0 183.009 * * [simplify]: Extracting #1: cost 3 inf + 0 183.009 * * [simplify]: Extracting #2: cost 6 inf + 0 183.009 * * [simplify]: Extracting #3: cost 10 inf + 0 183.009 * * [simplify]: Extracting #4: cost 16 inf + 0 183.010 * * [simplify]: Extracting #5: cost 115 inf + 0 183.010 * * [simplify]: Extracting #6: cost 304 inf + 0 183.012 * * [simplify]: Extracting #7: cost 342 inf + 2215 183.016 * * [simplify]: Extracting #8: cost 213 inf + 27268 183.046 * * [simplify]: Extracting #9: cost 35 inf + 91996 183.091 * * [simplify]: Extracting #10: cost 1 inf + 112484 183.115 * * [simplify]: Extracting #11: cost 0 inf + 114029 183.149 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))))) 183.149 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 183.150 * * * * [progress]: [ 336 / 4754 ] simplifiying candidate # 183.151 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 183.151 * * [simplify]: iters left: 6 (48 enodes) 183.165 * * [simplify]: iters left: 5 (252 enodes) 183.253 * * [simplify]: Extracting #0: cost 1 inf + 0 183.253 * * [simplify]: Extracting #1: cost 3 inf + 0 183.253 * * [simplify]: Extracting #2: cost 6 inf + 0 183.253 * * [simplify]: Extracting #3: cost 10 inf + 0 183.253 * * [simplify]: Extracting #4: cost 20 inf + 0 183.253 * * [simplify]: Extracting #5: cost 137 inf + 0 183.254 * * [simplify]: Extracting #6: cost 307 inf + 1 183.256 * * [simplify]: Extracting #7: cost 344 inf + 2094 183.263 * * [simplify]: Extracting #8: cost 169 inf + 48060 183.291 * * [simplify]: Extracting #9: cost 14 inf + 109314 183.321 * * [simplify]: Extracting #10: cost 7 inf + 113759 183.354 * * [simplify]: Extracting #11: cost 1 inf + 119150 183.380 * * [simplify]: Extracting #12: cost 0 inf + 120735 183.406 * * [simplify]: Extracting #13: cost 0 inf + 120615 183.437 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2))))))) 183.437 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 183.439 * * * * [progress]: [ 337 / 4754 ] simplifiying candidate # 183.439 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 183.440 * * [simplify]: iters left: 6 (48 enodes) 183.460 * * [simplify]: iters left: 5 (252 enodes) 183.557 * * [simplify]: Extracting #0: cost 1 inf + 0 183.557 * * [simplify]: Extracting #1: cost 3 inf + 0 183.557 * * [simplify]: Extracting #2: cost 6 inf + 0 183.557 * * [simplify]: Extracting #3: cost 10 inf + 0 183.557 * * [simplify]: Extracting #4: cost 20 inf + 0 183.557 * * [simplify]: Extracting #5: cost 127 inf + 0 183.558 * * [simplify]: Extracting #6: cost 294 inf + 44 183.559 * * [simplify]: Extracting #7: cost 331 inf + 3071 183.564 * * [simplify]: Extracting #8: cost 212 inf + 23056 183.573 * * [simplify]: Extracting #9: cost 113 inf + 55579 183.604 * * [simplify]: Extracting #10: cost 13 inf + 100404 183.642 * * [simplify]: Extracting #11: cost 1 inf + 108732 183.669 * * [simplify]: Extracting #12: cost 0 inf + 110477 183.697 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) 183.697 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 183.698 * * * * [progress]: [ 338 / 4754 ] simplifiying candidate # 183.699 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 183.699 * * [simplify]: iters left: 6 (48 enodes) 183.726 * * [simplify]: iters left: 5 (252 enodes) 183.846 * * [simplify]: Extracting #0: cost 1 inf + 0 183.846 * * [simplify]: Extracting #1: cost 3 inf + 0 183.846 * * [simplify]: Extracting #2: cost 6 inf + 0 183.846 * * [simplify]: Extracting #3: cost 10 inf + 0 183.846 * * [simplify]: Extracting #4: cost 20 inf + 0 183.847 * * [simplify]: Extracting #5: cost 137 inf + 0 183.848 * * [simplify]: Extracting #6: cost 307 inf + 1 183.851 * * [simplify]: Extracting #7: cost 345 inf + 2052 183.864 * * [simplify]: Extracting #8: cost 174 inf + 46619 183.901 * * [simplify]: Extracting #9: cost 14 inf + 110074 183.939 * * [simplify]: Extracting #10: cost 7 inf + 114399 183.961 * * [simplify]: Extracting #11: cost 1 inf + 119790 183.998 * * [simplify]: Extracting #12: cost 0 inf + 121375 184.020 * * [simplify]: Extracting #13: cost 0 inf + 121255 184.061 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 184.061 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 184.062 * * * * [progress]: [ 339 / 4754 ] simplifiying candidate # 184.063 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 184.063 * * [simplify]: iters left: 6 (48 enodes) 184.088 * * [simplify]: iters left: 5 (252 enodes) 184.161 * * [simplify]: Extracting #0: cost 1 inf + 0 184.161 * * [simplify]: Extracting #1: cost 3 inf + 0 184.161 * * [simplify]: Extracting #2: cost 6 inf + 0 184.161 * * [simplify]: Extracting #3: cost 10 inf + 0 184.161 * * [simplify]: Extracting #4: cost 20 inf + 0 184.161 * * [simplify]: Extracting #5: cost 126 inf + 0 184.162 * * [simplify]: Extracting #6: cost 294 inf + 44 184.163 * * [simplify]: Extracting #7: cost 336 inf + 1931 184.167 * * [simplify]: Extracting #8: cost 210 inf + 23540 184.176 * * [simplify]: Extracting #9: cost 114 inf + 55394 184.209 * * [simplify]: Extracting #10: cost 13 inf + 100684 184.237 * * [simplify]: Extracting #11: cost 1 inf + 108892 184.263 * * [simplify]: Extracting #12: cost 0 inf + 110637 184.286 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 184.286 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 184.286 * * * * [progress]: [ 340 / 4754 ] simplifiying candidate # 184.287 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 184.287 * * [simplify]: iters left: 6 (46 enodes) 184.300 * * [simplify]: iters left: 5 (234 enodes) 184.386 * * [simplify]: Extracting #0: cost 1 inf + 0 184.386 * * [simplify]: Extracting #1: cost 3 inf + 0 184.386 * * [simplify]: Extracting #2: cost 6 inf + 0 184.386 * * [simplify]: Extracting #3: cost 10 inf + 0 184.386 * * [simplify]: Extracting #4: cost 16 inf + 0 184.386 * * [simplify]: Extracting #5: cost 111 inf + 0 184.387 * * [simplify]: Extracting #6: cost 276 inf + 0 184.388 * * [simplify]: Extracting #7: cost 332 inf + 1998 184.400 * * [simplify]: Extracting #8: cost 171 inf + 41849 184.429 * * [simplify]: Extracting #9: cost 71 inf + 86274 184.471 * * [simplify]: Extracting #10: cost 9 inf + 120581 184.521 * * [simplify]: Extracting #11: cost 0 inf + 127288 184.550 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2))) (* (- (* phi2 phi2)) (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 184.550 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2))) (* (- (* phi2 phi2)) (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 184.551 * * * * [progress]: [ 341 / 4754 ] simplifiying candidate # 184.552 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 184.552 * * [simplify]: iters left: 6 (44 enodes) 184.575 * * [simplify]: iters left: 5 (220 enodes) 184.643 * * [simplify]: Extracting #0: cost 1 inf + 0 184.643 * * [simplify]: Extracting #1: cost 3 inf + 0 184.643 * * [simplify]: Extracting #2: cost 6 inf + 0 184.643 * * [simplify]: Extracting #3: cost 10 inf + 0 184.643 * * [simplify]: Extracting #4: cost 16 inf + 0 184.643 * * [simplify]: Extracting #5: cost 105 inf + 0 184.644 * * [simplify]: Extracting #6: cost 250 inf + 0 184.646 * * [simplify]: Extracting #7: cost 292 inf + 1516 184.652 * * [simplify]: Extracting #8: cost 207 inf + 16455 184.663 * * [simplify]: Extracting #9: cost 125 inf + 45519 184.678 * * [simplify]: Extracting #10: cost 34 inf + 90305 184.702 * * [simplify]: Extracting #11: cost 3 inf + 108957 184.745 * * [simplify]: Extracting #12: cost 0 inf + 113912 184.785 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 184.785 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 184.786 * * * * [progress]: [ 342 / 4754 ] simplifiying candidate # 184.787 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 184.787 * * [simplify]: iters left: 6 (46 enodes) 184.803 * * [simplify]: iters left: 5 (232 enodes) 184.881 * * [simplify]: Extracting #0: cost 1 inf + 0 184.881 * * [simplify]: Extracting #1: cost 3 inf + 0 184.882 * * [simplify]: Extracting #2: cost 6 inf + 0 184.882 * * [simplify]: Extracting #3: cost 10 inf + 0 184.882 * * [simplify]: Extracting #4: cost 16 inf + 0 184.882 * * [simplify]: Extracting #5: cost 113 inf + 0 184.883 * * [simplify]: Extracting #6: cost 253 inf + 0 184.885 * * [simplify]: Extracting #7: cost 324 inf + 493 184.890 * * [simplify]: Extracting #8: cost 257 inf + 12303 184.897 * * [simplify]: Extracting #9: cost 161 inf + 39571 184.913 * * [simplify]: Extracting #10: cost 41 inf + 93046 184.953 * * [simplify]: Extracting #11: cost 6 inf + 112019 185.001 * * [simplify]: Extracting #12: cost 3 inf + 116774 185.044 * * [simplify]: Extracting #13: cost 0 inf + 121649 185.088 * * [simplify]: Extracting #14: cost 0 inf + 121529 185.111 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 185.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 185.111 * * * * [progress]: [ 343 / 4754 ] simplifiying candidate # 185.112 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 185.112 * * [simplify]: iters left: 6 (46 enodes) 185.133 * * [simplify]: iters left: 5 (234 enodes) 185.231 * * [simplify]: Extracting #0: cost 1 inf + 0 185.231 * * [simplify]: Extracting #1: cost 3 inf + 0 185.231 * * [simplify]: Extracting #2: cost 6 inf + 0 185.231 * * [simplify]: Extracting #3: cost 10 inf + 0 185.231 * * [simplify]: Extracting #4: cost 16 inf + 0 185.231 * * [simplify]: Extracting #5: cost 108 inf + 0 185.232 * * [simplify]: Extracting #6: cost 269 inf + 0 185.233 * * [simplify]: Extracting #7: cost 309 inf + 1681 185.239 * * [simplify]: Extracting #8: cost 223 inf + 15057 185.248 * * [simplify]: Extracting #9: cost 137 inf + 44242 185.270 * * [simplify]: Extracting #10: cost 28 inf + 92494 185.290 * * [simplify]: Extracting #11: cost 3 inf + 107514 185.329 * * [simplify]: Extracting #12: cost 1 inf + 110924 185.368 * * [simplify]: Extracting #13: cost 0 inf + 112589 185.403 * * [simplify]: Extracting #14: cost 0 inf + 112509 185.424 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 185.424 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 185.425 * * * * [progress]: [ 344 / 4754 ] simplifiying candidate # 185.425 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 185.425 * * [simplify]: iters left: 6 (46 enodes) 185.438 * * [simplify]: iters left: 5 (234 enodes) 185.509 * * [simplify]: Extracting #0: cost 1 inf + 0 185.509 * * [simplify]: Extracting #1: cost 3 inf + 0 185.509 * * [simplify]: Extracting #2: cost 6 inf + 0 185.509 * * [simplify]: Extracting #3: cost 10 inf + 0 185.510 * * [simplify]: Extracting #4: cost 20 inf + 0 185.510 * * [simplify]: Extracting #5: cost 132 inf + 0 185.510 * * [simplify]: Extracting #6: cost 282 inf + 1 185.511 * * [simplify]: Extracting #7: cost 326 inf + 1391 185.514 * * [simplify]: Extracting #8: cost 250 inf + 12511 185.522 * * [simplify]: Extracting #9: cost 135 inf + 50765 185.542 * * [simplify]: Extracting #10: cost 25 inf + 101203 185.586 * * [simplify]: Extracting #11: cost 2 inf + 116149 185.629 * * [simplify]: Extracting #12: cost 0 inf + 119519 185.650 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) 185.651 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 185.651 * * * * [progress]: [ 345 / 4754 ] simplifiying candidate # 185.651 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 185.652 * * [simplify]: iters left: 6 (46 enodes) 185.670 * * [simplify]: iters left: 5 (234 enodes) 185.740 * * [simplify]: Extracting #0: cost 1 inf + 0 185.740 * * [simplify]: Extracting #1: cost 3 inf + 0 185.740 * * [simplify]: Extracting #2: cost 6 inf + 0 185.740 * * [simplify]: Extracting #3: cost 10 inf + 0 185.740 * * [simplify]: Extracting #4: cost 20 inf + 0 185.740 * * [simplify]: Extracting #5: cost 124 inf + 0 185.741 * * [simplify]: Extracting #6: cost 271 inf + 44 185.742 * * [simplify]: Extracting #7: cost 315 inf + 1478 185.746 * * [simplify]: Extracting #8: cost 215 inf + 19128 185.754 * * [simplify]: Extracting #9: cost 114 inf + 53019 185.775 * * [simplify]: Extracting #10: cost 28 inf + 88857 185.814 * * [simplify]: Extracting #11: cost 2 inf + 105104 185.852 * * [simplify]: Extracting #12: cost 1 inf + 106769 185.890 * * [simplify]: Extracting #13: cost 0 inf + 108474 185.928 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))))))) 185.928 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 185.929 * * * * [progress]: [ 346 / 4754 ] simplifiying candidate # 185.929 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 185.930 * * [simplify]: iters left: 6 (46 enodes) 185.956 * * [simplify]: iters left: 5 (234 enodes) 186.063 * * [simplify]: Extracting #0: cost 1 inf + 0 186.064 * * [simplify]: Extracting #1: cost 3 inf + 0 186.064 * * [simplify]: Extracting #2: cost 6 inf + 0 186.064 * * [simplify]: Extracting #3: cost 10 inf + 0 186.064 * * [simplify]: Extracting #4: cost 20 inf + 0 186.064 * * [simplify]: Extracting #5: cost 132 inf + 0 186.065 * * [simplify]: Extracting #6: cost 282 inf + 1 186.068 * * [simplify]: Extracting #7: cost 326 inf + 1391 186.074 * * [simplify]: Extracting #8: cost 249 inf + 12874 186.094 * * [simplify]: Extracting #9: cost 141 inf + 48501 186.126 * * [simplify]: Extracting #10: cost 25 inf + 101843 186.166 * * [simplify]: Extracting #11: cost 2 inf + 116789 186.208 * * [simplify]: Extracting #12: cost 0 inf + 120159 186.253 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) 186.253 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 186.255 * * * * [progress]: [ 347 / 4754 ] simplifiying candidate # 186.255 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 186.256 * * [simplify]: iters left: 6 (46 enodes) 186.282 * * [simplify]: iters left: 5 (234 enodes) 186.364 * * [simplify]: Extracting #0: cost 1 inf + 0 186.364 * * [simplify]: Extracting #1: cost 3 inf + 0 186.365 * * [simplify]: Extracting #2: cost 6 inf + 0 186.365 * * [simplify]: Extracting #3: cost 10 inf + 0 186.365 * * [simplify]: Extracting #4: cost 20 inf + 0 186.365 * * [simplify]: Extracting #5: cost 123 inf + 0 186.366 * * [simplify]: Extracting #6: cost 271 inf + 44 186.368 * * [simplify]: Extracting #7: cost 315 inf + 1478 186.378 * * [simplify]: Extracting #8: cost 216 inf + 18164 186.392 * * [simplify]: Extracting #9: cost 114 inf + 53400 186.407 * * [simplify]: Extracting #10: cost 27 inf + 88549 186.436 * * [simplify]: Extracting #11: cost 2 inf + 105544 186.474 * * [simplify]: Extracting #12: cost 1 inf + 107369 186.514 * * [simplify]: Extracting #13: cost 0 inf + 109194 186.535 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))))))) 186.535 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 186.535 * * * * [progress]: [ 348 / 4754 ] simplifiying candidate # 186.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 186.536 * * [simplify]: iters left: 6 (49 enodes) 186.552 * * [simplify]: iters left: 5 (248 enodes) 186.643 * * [simplify]: Extracting #0: cost 1 inf + 0 186.643 * * [simplify]: Extracting #1: cost 3 inf + 0 186.643 * * [simplify]: Extracting #2: cost 6 inf + 0 186.643 * * [simplify]: Extracting #3: cost 10 inf + 0 186.643 * * [simplify]: Extracting #4: cost 16 inf + 0 186.643 * * [simplify]: Extracting #5: cost 110 inf + 0 186.645 * * [simplify]: Extracting #6: cost 288 inf + 0 186.647 * * [simplify]: Extracting #7: cost 352 inf + 1028 186.659 * * [simplify]: Extracting #8: cost 191 inf + 41464 186.693 * * [simplify]: Extracting #9: cost 44 inf + 95918 186.730 * * [simplify]: Extracting #10: cost 5 inf + 115109 186.754 * * [simplify]: Extracting #11: cost 0 inf + 120339 186.776 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 186.777 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 186.777 * * * * [progress]: [ 349 / 4754 ] simplifiying candidate # 186.778 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 186.778 * * [simplify]: iters left: 6 (47 enodes) 186.791 * * [simplify]: iters left: 5 (236 enodes) 186.869 * * [simplify]: Extracting #0: cost 1 inf + 0 186.869 * * [simplify]: Extracting #1: cost 3 inf + 0 186.869 * * [simplify]: Extracting #2: cost 6 inf + 0 186.869 * * [simplify]: Extracting #3: cost 10 inf + 0 186.869 * * [simplify]: Extracting #4: cost 16 inf + 0 186.870 * * [simplify]: Extracting #5: cost 108 inf + 0 186.871 * * [simplify]: Extracting #6: cost 275 inf + 0 186.873 * * [simplify]: Extracting #7: cost 314 inf + 2084 186.879 * * [simplify]: Extracting #8: cost 198 inf + 29721 186.895 * * [simplify]: Extracting #9: cost 56 inf + 82851 186.917 * * [simplify]: Extracting #10: cost 6 inf + 109802 186.941 * * [simplify]: Extracting #11: cost 1 inf + 112939 186.966 * * [simplify]: Extracting #12: cost 0 inf + 114644 187.002 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 187.002 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 187.003 * * * * [progress]: [ 350 / 4754 ] simplifiying candidate # 187.004 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 187.004 * * [simplify]: iters left: 6 (49 enodes) 187.029 * * [simplify]: iters left: 5 (246 enodes) 187.114 * * [simplify]: Extracting #0: cost 1 inf + 0 187.114 * * [simplify]: Extracting #1: cost 3 inf + 0 187.114 * * [simplify]: Extracting #2: cost 6 inf + 0 187.114 * * [simplify]: Extracting #3: cost 10 inf + 0 187.114 * * [simplify]: Extracting #4: cost 16 inf + 0 187.114 * * [simplify]: Extracting #5: cost 121 inf + 0 187.115 * * [simplify]: Extracting #6: cost 286 inf + 0 187.118 * * [simplify]: Extracting #7: cost 340 inf + 1884 187.126 * * [simplify]: Extracting #8: cost 221 inf + 27853 187.148 * * [simplify]: Extracting #9: cost 105 inf + 71229 187.183 * * [simplify]: Extracting #10: cost 31 inf + 101592 187.218 * * [simplify]: Extracting #11: cost 5 inf + 114737 187.259 * * [simplify]: Extracting #12: cost 2 inf + 119092 187.284 * * [simplify]: Extracting #13: cost 0 inf + 122462 187.329 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 187.329 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 187.330 * * * * [progress]: [ 351 / 4754 ] simplifiying candidate # 187.331 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 187.331 * * [simplify]: iters left: 6 (49 enodes) 187.358 * * [simplify]: iters left: 5 (248 enodes) 187.457 * * [simplify]: Extracting #0: cost 1 inf + 0 187.457 * * [simplify]: Extracting #1: cost 3 inf + 0 187.457 * * [simplify]: Extracting #2: cost 6 inf + 0 187.457 * * [simplify]: Extracting #3: cost 10 inf + 0 187.457 * * [simplify]: Extracting #4: cost 16 inf + 0 187.457 * * [simplify]: Extracting #5: cost 107 inf + 0 187.458 * * [simplify]: Extracting #6: cost 280 inf + 0 187.459 * * [simplify]: Extracting #7: cost 322 inf + 1561 187.462 * * [simplify]: Extracting #8: cost 220 inf + 17432 187.476 * * [simplify]: Extracting #9: cost 135 inf + 44344 187.492 * * [simplify]: Extracting #10: cost 36 inf + 83958 187.513 * * [simplify]: Extracting #11: cost 2 inf + 103925 187.541 * * [simplify]: Extracting #12: cost 0 inf + 107375 187.562 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) 187.562 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 187.563 * * * * [progress]: [ 352 / 4754 ] simplifiying candidate # 187.563 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 187.564 * * [simplify]: iters left: 6 (49 enodes) 187.589 * * [simplify]: iters left: 5 (248 enodes) 187.672 * * [simplify]: Extracting #0: cost 1 inf + 0 187.672 * * [simplify]: Extracting #1: cost 3 inf + 0 187.672 * * [simplify]: Extracting #2: cost 6 inf + 0 187.672 * * [simplify]: Extracting #3: cost 10 inf + 0 187.672 * * [simplify]: Extracting #4: cost 20 inf + 0 187.673 * * [simplify]: Extracting #5: cost 131 inf + 0 187.674 * * [simplify]: Extracting #6: cost 294 inf + 1 187.677 * * [simplify]: Extracting #7: cost 332 inf + 1971 187.683 * * [simplify]: Extracting #8: cost 242 inf + 15003 187.700 * * [simplify]: Extracting #9: cost 129 inf + 54327 187.734 * * [simplify]: Extracting #10: cost 18 inf + 105273 187.758 * * [simplify]: Extracting #11: cost 0 inf + 116490 187.790 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 187.791 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 187.792 * * * * [progress]: [ 353 / 4754 ] simplifiying candidate # 187.792 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 187.793 * * [simplify]: iters left: 6 (49 enodes) 187.821 * * [simplify]: iters left: 5 (248 enodes) 187.939 * * [simplify]: Extracting #0: cost 1 inf + 0 187.939 * * [simplify]: Extracting #1: cost 3 inf + 0 187.940 * * [simplify]: Extracting #2: cost 6 inf + 0 187.940 * * [simplify]: Extracting #3: cost 10 inf + 0 187.940 * * [simplify]: Extracting #4: cost 20 inf + 0 187.940 * * [simplify]: Extracting #5: cost 123 inf + 0 187.941 * * [simplify]: Extracting #6: cost 281 inf + 86 187.944 * * [simplify]: Extracting #7: cost 312 inf + 3795 187.952 * * [simplify]: Extracting #8: cost 196 inf + 23055 187.971 * * [simplify]: Extracting #9: cost 86 inf + 61715 188.002 * * [simplify]: Extracting #10: cost 17 inf + 91969 188.038 * * [simplify]: Extracting #11: cost 3 inf + 101785 188.077 * * [simplify]: Extracting #12: cost 0 inf + 106460 188.114 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 188.114 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 188.115 * * * * [progress]: [ 354 / 4754 ] simplifiying candidate # 188.116 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 188.116 * * [simplify]: iters left: 6 (49 enodes) 188.140 * * [simplify]: iters left: 5 (248 enodes) 188.221 * * [simplify]: Extracting #0: cost 1 inf + 0 188.221 * * [simplify]: Extracting #1: cost 3 inf + 0 188.221 * * [simplify]: Extracting #2: cost 6 inf + 0 188.221 * * [simplify]: Extracting #3: cost 10 inf + 0 188.221 * * [simplify]: Extracting #4: cost 20 inf + 0 188.221 * * [simplify]: Extracting #5: cost 131 inf + 0 188.222 * * [simplify]: Extracting #6: cost 294 inf + 1 188.223 * * [simplify]: Extracting #7: cost 333 inf + 1929 188.227 * * [simplify]: Extracting #8: cost 243 inf + 15082 188.236 * * [simplify]: Extracting #9: cost 133 inf + 53814 188.260 * * [simplify]: Extracting #10: cost 19 inf + 105701 188.296 * * [simplify]: Extracting #11: cost 0 inf + 117130 188.324 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 188.324 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 188.325 * * * * [progress]: [ 355 / 4754 ] simplifiying candidate # 188.325 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 188.325 * * [simplify]: iters left: 6 (49 enodes) 188.344 * * [simplify]: iters left: 5 (248 enodes) 188.422 * * [simplify]: Extracting #0: cost 1 inf + 0 188.422 * * [simplify]: Extracting #1: cost 3 inf + 0 188.422 * * [simplify]: Extracting #2: cost 6 inf + 0 188.422 * * [simplify]: Extracting #3: cost 10 inf + 0 188.422 * * [simplify]: Extracting #4: cost 20 inf + 0 188.422 * * [simplify]: Extracting #5: cost 122 inf + 0 188.423 * * [simplify]: Extracting #6: cost 281 inf + 86 188.426 * * [simplify]: Extracting #7: cost 313 inf + 3670 188.434 * * [simplify]: Extracting #8: cost 177 inf + 32160 188.447 * * [simplify]: Extracting #9: cost 55 inf + 77850 188.466 * * [simplify]: Extracting #10: cost 9 inf + 100220 188.498 * * [simplify]: Extracting #11: cost 0 inf + 106700 188.520 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 188.520 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 188.521 * * * * [progress]: [ 356 / 4754 ] simplifiying candidate # 188.521 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 188.521 * * [simplify]: iters left: 6 (46 enodes) 188.542 * * [simplify]: iters left: 5 (235 enodes) 188.623 * * [simplify]: Extracting #0: cost 1 inf + 0 188.623 * * [simplify]: Extracting #1: cost 3 inf + 0 188.623 * * [simplify]: Extracting #2: cost 6 inf + 0 188.623 * * [simplify]: Extracting #3: cost 10 inf + 0 188.623 * * [simplify]: Extracting #4: cost 16 inf + 0 188.623 * * [simplify]: Extracting #5: cost 111 inf + 0 188.624 * * [simplify]: Extracting #6: cost 273 inf + 0 188.626 * * [simplify]: Extracting #7: cost 346 inf + 698 188.632 * * [simplify]: Extracting #8: cost 268 inf + 15068 188.645 * * [simplify]: Extracting #9: cost 134 inf + 59043 188.664 * * [simplify]: Extracting #10: cost 20 inf + 107379 188.699 * * [simplify]: Extracting #11: cost 2 inf + 123063 188.729 * * [simplify]: Extracting #12: cost 0 inf + 126513 188.759 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 188.759 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 188.760 * * * * [progress]: [ 357 / 4754 ] simplifiying candidate # 188.761 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 188.761 * * [simplify]: iters left: 6 (44 enodes) 188.785 * * [simplify]: iters left: 5 (222 enodes) 188.872 * * [simplify]: Extracting #0: cost 1 inf + 0 188.873 * * [simplify]: Extracting #1: cost 3 inf + 0 188.873 * * [simplify]: Extracting #2: cost 6 inf + 0 188.873 * * [simplify]: Extracting #3: cost 10 inf + 0 188.873 * * [simplify]: Extracting #4: cost 16 inf + 0 188.873 * * [simplify]: Extracting #5: cost 105 inf + 0 188.873 * * [simplify]: Extracting #6: cost 254 inf + 0 188.874 * * [simplify]: Extracting #7: cost 313 inf + 454 188.879 * * [simplify]: Extracting #8: cost 231 inf + 24652 188.900 * * [simplify]: Extracting #9: cost 97 inf + 83028 188.927 * * [simplify]: Extracting #10: cost 7 inf + 116042 188.958 * * [simplify]: Extracting #11: cost 0 inf + 118453 188.986 * * [simplify]: Extracting #12: cost 0 inf + 117952 189.013 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 189.014 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 189.015 * * * * [progress]: [ 358 / 4754 ] simplifiying candidate # 189.015 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 189.016 * * [simplify]: iters left: 6 (46 enodes) 189.033 * * [simplify]: iters left: 5 (233 enodes) 189.127 * * [simplify]: Extracting #0: cost 1 inf + 0 189.127 * * [simplify]: Extracting #1: cost 3 inf + 0 189.127 * * [simplify]: Extracting #2: cost 6 inf + 0 189.127 * * [simplify]: Extracting #3: cost 10 inf + 0 189.128 * * [simplify]: Extracting #4: cost 16 inf + 0 189.128 * * [simplify]: Extracting #5: cost 116 inf + 0 189.129 * * [simplify]: Extracting #6: cost 264 inf + 0 189.130 * * [simplify]: Extracting #7: cost 329 inf + 1303 189.134 * * [simplify]: Extracting #8: cost 229 inf + 33190 189.148 * * [simplify]: Extracting #9: cost 94 inf + 88684 189.176 * * [simplify]: Extracting #10: cost 26 inf + 108011 189.227 * * [simplify]: Extracting #11: cost 1 inf + 124682 189.272 * * [simplify]: Extracting #12: cost 0 inf + 125547 189.315 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) 189.315 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 189.316 * * * * [progress]: [ 359 / 4754 ] simplifiying candidate # 189.317 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 189.317 * * [simplify]: iters left: 6 (46 enodes) 189.342 * * [simplify]: iters left: 5 (235 enodes) 189.402 * * [simplify]: Extracting #0: cost 1 inf + 0 189.402 * * [simplify]: Extracting #1: cost 3 inf + 0 189.402 * * [simplify]: Extracting #2: cost 6 inf + 0 189.402 * * [simplify]: Extracting #3: cost 10 inf + 0 189.402 * * [simplify]: Extracting #4: cost 16 inf + 0 189.403 * * [simplify]: Extracting #5: cost 108 inf + 0 189.403 * * [simplify]: Extracting #6: cost 265 inf + 0 189.404 * * [simplify]: Extracting #7: cost 315 inf + 1792 189.407 * * [simplify]: Extracting #8: cost 238 inf + 17848 189.415 * * [simplify]: Extracting #9: cost 131 inf + 47790 189.440 * * [simplify]: Extracting #10: cost 40 inf + 87742 189.477 * * [simplify]: Extracting #11: cost 3 inf + 107874 189.517 * * [simplify]: Extracting #12: cost 0 inf + 111469 189.557 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))))) 189.557 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 189.558 * * * * [progress]: [ 360 / 4754 ] simplifiying candidate # 189.559 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 189.559 * * [simplify]: iters left: 6 (46 enodes) 189.587 * * [simplify]: iters left: 5 (235 enodes) 189.691 * * [simplify]: Extracting #0: cost 1 inf + 0 189.691 * * [simplify]: Extracting #1: cost 3 inf + 0 189.691 * * [simplify]: Extracting #2: cost 6 inf + 0 189.691 * * [simplify]: Extracting #3: cost 10 inf + 0 189.691 * * [simplify]: Extracting #4: cost 20 inf + 0 189.691 * * [simplify]: Extracting #5: cost 132 inf + 0 189.692 * * [simplify]: Extracting #6: cost 279 inf + 1 189.694 * * [simplify]: Extracting #7: cost 335 inf + 819 189.701 * * [simplify]: Extracting #8: cost 253 inf + 27309 189.725 * * [simplify]: Extracting #9: cost 105 inf + 78745 189.758 * * [simplify]: Extracting #10: cost 21 inf + 101340 189.797 * * [simplify]: Extracting #11: cost 5 inf + 111979 189.838 * * [simplify]: Extracting #12: cost 0 inf + 119224 189.865 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 189.865 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 189.865 * * * * [progress]: [ 361 / 4754 ] simplifiying candidate # 189.866 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 189.866 * * [simplify]: iters left: 6 (46 enodes) 189.883 * * [simplify]: iters left: 5 (235 enodes) 189.982 * * [simplify]: Extracting #0: cost 1 inf + 0 189.982 * * [simplify]: Extracting #1: cost 3 inf + 0 189.982 * * [simplify]: Extracting #2: cost 6 inf + 0 189.983 * * [simplify]: Extracting #3: cost 10 inf + 0 189.983 * * [simplify]: Extracting #4: cost 20 inf + 0 189.983 * * [simplify]: Extracting #5: cost 124 inf + 0 189.983 * * [simplify]: Extracting #6: cost 267 inf + 44 189.987 * * [simplify]: Extracting #7: cost 322 inf + 1147 189.990 * * [simplify]: Extracting #8: cost 221 inf + 28877 190.001 * * [simplify]: Extracting #9: cost 88 inf + 80071 190.027 * * [simplify]: Extracting #10: cost 16 inf + 95845 190.050 * * [simplify]: Extracting #11: cost 3 inf + 103479 190.070 * * [simplify]: Extracting #12: cost 0 inf + 108474 190.109 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 190.109 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 190.110 * * * * [progress]: [ 362 / 4754 ] simplifiying candidate # 190.110 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 190.111 * * [simplify]: iters left: 6 (46 enodes) 190.137 * * [simplify]: iters left: 5 (235 enodes) 190.248 * * [simplify]: Extracting #0: cost 1 inf + 0 190.248 * * [simplify]: Extracting #1: cost 3 inf + 0 190.248 * * [simplify]: Extracting #2: cost 6 inf + 0 190.248 * * [simplify]: Extracting #3: cost 10 inf + 0 190.248 * * [simplify]: Extracting #4: cost 20 inf + 0 190.248 * * [simplify]: Extracting #5: cost 132 inf + 0 190.249 * * [simplify]: Extracting #6: cost 279 inf + 1 190.251 * * [simplify]: Extracting #7: cost 335 inf + 819 190.256 * * [simplify]: Extracting #8: cost 277 inf + 10890 190.267 * * [simplify]: Extracting #9: cost 169 inf + 42394 190.296 * * [simplify]: Extracting #10: cost 34 inf + 95370 190.316 * * [simplify]: Extracting #11: cost 4 inf + 113724 190.345 * * [simplify]: Extracting #12: cost 0 inf + 119864 190.369 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 190.369 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 190.370 * * * * [progress]: [ 363 / 4754 ] simplifiying candidate # 190.370 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 190.371 * * [simplify]: iters left: 6 (46 enodes) 190.396 * * [simplify]: iters left: 5 (235 enodes) 190.509 * * [simplify]: Extracting #0: cost 1 inf + 0 190.509 * * [simplify]: Extracting #1: cost 3 inf + 0 190.509 * * [simplify]: Extracting #2: cost 6 inf + 0 190.509 * * [simplify]: Extracting #3: cost 10 inf + 0 190.509 * * [simplify]: Extracting #4: cost 20 inf + 0 190.509 * * [simplify]: Extracting #5: cost 123 inf + 0 190.510 * * [simplify]: Extracting #6: cost 267 inf + 44 190.511 * * [simplify]: Extracting #7: cost 320 inf + 1431 190.514 * * [simplify]: Extracting #8: cost 223 inf + 28611 190.526 * * [simplify]: Extracting #9: cost 87 inf + 80264 190.543 * * [simplify]: Extracting #10: cost 19 inf + 94833 190.562 * * [simplify]: Extracting #11: cost 3 inf + 103919 190.597 * * [simplify]: Extracting #12: cost 1 inf + 107289 190.625 * * [simplify]: Extracting #13: cost 0 inf + 109034 190.645 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) 190.645 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 190.646 * * * * [progress]: [ 364 / 4754 ] simplifiying candidate # 190.646 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 190.647 * * [simplify]: iters left: 6 (49 enodes) 190.661 * * [simplify]: iters left: 5 (248 enodes) 190.774 * * [simplify]: Extracting #0: cost 1 inf + 0 190.774 * * [simplify]: Extracting #1: cost 3 inf + 0 190.774 * * [simplify]: Extracting #2: cost 6 inf + 0 190.774 * * [simplify]: Extracting #3: cost 10 inf + 0 190.774 * * [simplify]: Extracting #4: cost 16 inf + 0 190.775 * * [simplify]: Extracting #5: cost 110 inf + 0 190.776 * * [simplify]: Extracting #6: cost 292 inf + 0 190.778 * * [simplify]: Extracting #7: cost 348 inf + 1276 190.790 * * [simplify]: Extracting #8: cost 182 inf + 42433 190.823 * * [simplify]: Extracting #9: cost 48 inf + 93818 190.853 * * [simplify]: Extracting #10: cost 8 inf + 116113 190.882 * * [simplify]: Extracting #11: cost 0 inf + 122179 190.904 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) 190.904 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 190.905 * * * * [progress]: [ 365 / 4754 ] simplifiying candidate # 190.905 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 190.905 * * [simplify]: iters left: 6 (47 enodes) 190.917 * * [simplify]: iters left: 5 (236 enodes) 190.973 * * [simplify]: Extracting #0: cost 1 inf + 0 190.973 * * [simplify]: Extracting #1: cost 3 inf + 0 190.973 * * [simplify]: Extracting #2: cost 6 inf + 0 190.973 * * [simplify]: Extracting #3: cost 10 inf + 0 190.973 * * [simplify]: Extracting #4: cost 16 inf + 0 190.973 * * [simplify]: Extracting #5: cost 108 inf + 0 190.974 * * [simplify]: Extracting #6: cost 279 inf + 0 190.975 * * [simplify]: Extracting #7: cost 313 inf + 2208 190.979 * * [simplify]: Extracting #8: cost 209 inf + 26243 190.994 * * [simplify]: Extracting #9: cost 65 inf + 81022 191.029 * * [simplify]: Extracting #10: cost 5 inf + 111305 191.050 * * [simplify]: Extracting #11: cost 1 inf + 114699 191.085 * * [simplify]: Extracting #12: cost 0 inf + 116644 191.130 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2)) (* phi1 phi1)) (* (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 191.130 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2)) (* phi1 phi1)) (* (+ (* (* phi1 phi1) phi1) (* (- (* phi2 phi2)) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 191.131 * * * * [progress]: [ 366 / 4754 ] simplifiying candidate # 191.132 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 191.133 * * [simplify]: iters left: 6 (49 enodes) 191.162 * * [simplify]: iters left: 5 (246 enodes) 191.277 * * [simplify]: Extracting #0: cost 1 inf + 0 191.277 * * [simplify]: Extracting #1: cost 3 inf + 0 191.277 * * [simplify]: Extracting #2: cost 6 inf + 0 191.277 * * [simplify]: Extracting #3: cost 10 inf + 0 191.277 * * [simplify]: Extracting #4: cost 16 inf + 0 191.277 * * [simplify]: Extracting #5: cost 121 inf + 0 191.278 * * [simplify]: Extracting #6: cost 291 inf + 0 191.279 * * [simplify]: Extracting #7: cost 340 inf + 2007 191.283 * * [simplify]: Extracting #8: cost 247 inf + 16605 191.296 * * [simplify]: Extracting #9: cost 119 inf + 66149 191.329 * * [simplify]: Extracting #10: cost 9 inf + 117382 191.374 * * [simplify]: Extracting #11: cost 0 inf + 124302 191.419 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 191.419 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 191.420 * * * * [progress]: [ 367 / 4754 ] simplifiying candidate # 191.420 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 191.421 * * [simplify]: iters left: 6 (49 enodes) 191.450 * * [simplify]: iters left: 5 (248 enodes) 191.564 * * [simplify]: Extracting #0: cost 1 inf + 0 191.565 * * [simplify]: Extracting #1: cost 3 inf + 0 191.565 * * [simplify]: Extracting #2: cost 6 inf + 0 191.565 * * [simplify]: Extracting #3: cost 10 inf + 0 191.565 * * [simplify]: Extracting #4: cost 16 inf + 0 191.565 * * [simplify]: Extracting #5: cost 107 inf + 0 191.566 * * [simplify]: Extracting #6: cost 284 inf + 0 191.569 * * [simplify]: Extracting #7: cost 321 inf + 1807 191.582 * * [simplify]: Extracting #8: cost 188 inf + 28987 191.608 * * [simplify]: Extracting #9: cost 59 inf + 77922 191.644 * * [simplify]: Extracting #10: cost 9 inf + 102739 191.668 * * [simplify]: Extracting #11: cost 0 inf + 108295 191.694 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) 191.694 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 191.696 * * * * [progress]: [ 368 / 4754 ] simplifiying candidate # 191.696 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 191.697 * * [simplify]: iters left: 6 (49 enodes) 191.712 * * [simplify]: iters left: 5 (248 enodes) 191.785 * * [simplify]: Extracting #0: cost 1 inf + 0 191.786 * * [simplify]: Extracting #1: cost 3 inf + 0 191.786 * * [simplify]: Extracting #2: cost 6 inf + 0 191.786 * * [simplify]: Extracting #3: cost 10 inf + 0 191.786 * * [simplify]: Extracting #4: cost 20 inf + 0 191.786 * * [simplify]: Extracting #5: cost 131 inf + 0 191.788 * * [simplify]: Extracting #6: cost 298 inf + 1 191.789 * * [simplify]: Extracting #7: cost 331 inf + 2131 191.792 * * [simplify]: Extracting #8: cost 247 inf + 14109 191.804 * * [simplify]: Extracting #9: cost 123 inf + 57456 191.829 * * [simplify]: Extracting #10: cost 13 inf + 106800 191.871 * * [simplify]: Extracting #11: cost 0 inf + 115050 191.912 * * [simplify]: Extracting #12: cost 0 inf + 114970 191.946 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 191.946 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 191.947 * * * * [progress]: [ 369 / 4754 ] simplifiying candidate # 191.947 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 191.947 * * [simplify]: iters left: 6 (49 enodes) 191.960 * * [simplify]: iters left: 5 (248 enodes) 192.031 * * [simplify]: Extracting #0: cost 1 inf + 0 192.031 * * [simplify]: Extracting #1: cost 3 inf + 0 192.031 * * [simplify]: Extracting #2: cost 6 inf + 0 192.031 * * [simplify]: Extracting #3: cost 10 inf + 0 192.031 * * [simplify]: Extracting #4: cost 20 inf + 0 192.031 * * [simplify]: Extracting #5: cost 123 inf + 0 192.031 * * [simplify]: Extracting #6: cost 285 inf + 86 192.033 * * [simplify]: Extracting #7: cost 308 inf + 4364 192.045 * * [simplify]: Extracting #8: cost 167 inf + 35792 192.066 * * [simplify]: Extracting #9: cost 79 inf + 65527 192.082 * * [simplify]: Extracting #10: cost 16 inf + 92685 192.104 * * [simplify]: Extracting #11: cost 4 inf + 99880 192.136 * * [simplify]: Extracting #12: cost 1 inf + 104555 192.171 * * [simplify]: Extracting #13: cost 0 inf + 106300 192.206 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 192.206 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 192.207 * * * * [progress]: [ 370 / 4754 ] simplifiying candidate # 192.207 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 192.207 * * [simplify]: iters left: 6 (49 enodes) 192.221 * * [simplify]: iters left: 5 (248 enodes) 192.322 * * [simplify]: Extracting #0: cost 1 inf + 0 192.322 * * [simplify]: Extracting #1: cost 3 inf + 0 192.322 * * [simplify]: Extracting #2: cost 6 inf + 0 192.322 * * [simplify]: Extracting #3: cost 10 inf + 0 192.322 * * [simplify]: Extracting #4: cost 20 inf + 0 192.323 * * [simplify]: Extracting #5: cost 131 inf + 0 192.324 * * [simplify]: Extracting #6: cost 298 inf + 1 192.327 * * [simplify]: Extracting #7: cost 331 inf + 2172 192.334 * * [simplify]: Extracting #8: cost 247 inf + 14187 192.350 * * [simplify]: Extracting #9: cost 128 inf + 56620 192.370 * * [simplify]: Extracting #10: cost 15 inf + 106765 192.400 * * [simplify]: Extracting #11: cost 0 inf + 115690 192.441 * * [simplify]: Extracting #12: cost 0 inf + 115610 192.482 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 192.482 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 192.483 * * * * [progress]: [ 371 / 4754 ] simplifiying candidate # 192.484 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 192.484 * * [simplify]: iters left: 6 (49 enodes) 192.511 * * [simplify]: iters left: 5 (248 enodes) 192.596 * * [simplify]: Extracting #0: cost 1 inf + 0 192.596 * * [simplify]: Extracting #1: cost 3 inf + 0 192.596 * * [simplify]: Extracting #2: cost 6 inf + 0 192.596 * * [simplify]: Extracting #3: cost 10 inf + 0 192.596 * * [simplify]: Extracting #4: cost 20 inf + 0 192.596 * * [simplify]: Extracting #5: cost 122 inf + 0 192.597 * * [simplify]: Extracting #6: cost 285 inf + 86 192.598 * * [simplify]: Extracting #7: cost 308 inf + 4205 192.605 * * [simplify]: Extracting #8: cost 201 inf + 23735 192.621 * * [simplify]: Extracting #9: cost 126 inf + 49154 192.642 * * [simplify]: Extracting #10: cost 32 inf + 86805 192.660 * * [simplify]: Extracting #11: cost 5 inf + 99415 192.679 * * [simplify]: Extracting #12: cost 1 inf + 104795 192.699 * * [simplify]: Extracting #13: cost 0 inf + 106540 192.725 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 192.725 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 192.726 * * * * [progress]: [ 372 / 4754 ] simplifiying candidate # 192.726 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 192.726 * * [simplify]: iters left: 6 (46 enodes) 192.740 * * [simplify]: iters left: 5 (237 enodes) 192.815 * * [simplify]: Extracting #0: cost 1 inf + 0 192.815 * * [simplify]: Extracting #1: cost 3 inf + 0 192.816 * * [simplify]: Extracting #2: cost 6 inf + 0 192.816 * * [simplify]: Extracting #3: cost 10 inf + 0 192.816 * * [simplify]: Extracting #4: cost 16 inf + 0 192.816 * * [simplify]: Extracting #5: cost 101 inf + 0 192.816 * * [simplify]: Extracting #6: cost 266 inf + 2 192.817 * * [simplify]: Extracting #7: cost 306 inf + 3808 192.824 * * [simplify]: Extracting #8: cost 171 inf + 32166 192.838 * * [simplify]: Extracting #9: cost 35 inf + 79455 192.869 * * [simplify]: Extracting #10: cost 8 inf + 91213 192.887 * * [simplify]: Extracting #11: cost 2 inf + 97283 192.914 * * [simplify]: Extracting #12: cost 0 inf + 99653 192.940 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 192.940 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 192.941 * * * * [progress]: [ 373 / 4754 ] simplifiying candidate # 192.941 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 192.942 * * [simplify]: iters left: 6 (46 enodes) 192.955 * * [simplify]: iters left: 5 (235 enodes) 193.022 * * [simplify]: Extracting #0: cost 1 inf + 0 193.023 * * [simplify]: Extracting #1: cost 3 inf + 0 193.023 * * [simplify]: Extracting #2: cost 6 inf + 0 193.023 * * [simplify]: Extracting #3: cost 10 inf + 0 193.023 * * [simplify]: Extracting #4: cost 19 inf + 0 193.023 * * [simplify]: Extracting #5: cost 108 inf + 0 193.026 * * [simplify]: Extracting #6: cost 267 inf + 0 193.028 * * [simplify]: Extracting #7: cost 303 inf + 4616 193.031 * * [simplify]: Extracting #8: cost 212 inf + 18281 193.038 * * [simplify]: Extracting #9: cost 115 inf + 46505 193.059 * * [simplify]: Extracting #10: cost 29 inf + 79254 193.092 * * [simplify]: Extracting #11: cost 1 inf + 95673 193.129 * * [simplify]: Extracting #12: cost 0 inf + 97098 193.164 * * [simplify]: Extracting #13: cost 0 inf + 97018 193.200 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (- (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))) 193.201 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (- (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 193.202 * * * * [progress]: [ 374 / 4754 ] simplifiying candidate # 193.203 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 193.203 * * [simplify]: iters left: 6 (43 enodes) 193.229 * * [simplify]: iters left: 5 (224 enodes) 193.313 * * [simplify]: Extracting #0: cost 1 inf + 0 193.313 * * [simplify]: Extracting #1: cost 3 inf + 0 193.313 * * [simplify]: Extracting #2: cost 6 inf + 0 193.313 * * [simplify]: Extracting #3: cost 10 inf + 0 193.313 * * [simplify]: Extracting #4: cost 16 inf + 0 193.314 * * [simplify]: Extracting #5: cost 108 inf + 0 193.315 * * [simplify]: Extracting #6: cost 267 inf + 0 193.317 * * [simplify]: Extracting #7: cost 335 inf + 1101 193.324 * * [simplify]: Extracting #8: cost 226 inf + 33263 193.346 * * [simplify]: Extracting #9: cost 100 inf + 91083 193.378 * * [simplify]: Extracting #10: cost 17 inf + 113386 193.401 * * [simplify]: Extracting #11: cost 3 inf + 119603 193.441 * * [simplify]: Extracting #12: cost 0 inf + 123598 193.485 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 193.485 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 193.487 * * * * [progress]: [ 375 / 4754 ] simplifiying candidate # 193.487 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 193.488 * * [simplify]: iters left: 6 (43 enodes) 193.515 * * [simplify]: iters left: 5 (216 enodes) 193.588 * * [simplify]: Extracting #0: cost 1 inf + 0 193.588 * * [simplify]: Extracting #1: cost 4 inf + 0 193.588 * * [simplify]: Extracting #2: cost 7 inf + 0 193.588 * * [simplify]: Extracting #3: cost 10 inf + 0 193.589 * * [simplify]: Extracting #4: cost 77 inf + 0 193.589 * * [simplify]: Extracting #5: cost 209 inf + 0 193.591 * * [simplify]: Extracting #6: cost 268 inf + 861 193.598 * * [simplify]: Extracting #7: cost 166 inf + 32152 193.617 * * [simplify]: Extracting #8: cost 38 inf + 86748 193.633 * * [simplify]: Extracting #9: cost 7 inf + 89653 193.651 * * [simplify]: Extracting #10: cost 0 inf + 91999 193.687 * * [simplify]: Extracting #11: cost 0 inf + 91397 193.712 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 193.712 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 193.713 * * * * [progress]: [ 376 / 4754 ] simplifiying candidate # 193.713 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 193.713 * * [simplify]: iters left: 6 (37 enodes) 193.724 * * [simplify]: iters left: 5 (185 enodes) 193.783 * * [simplify]: Extracting #0: cost 1 inf + 0 193.783 * * [simplify]: Extracting #1: cost 4 inf + 0 193.783 * * [simplify]: Extracting #2: cost 7 inf + 0 193.783 * * [simplify]: Extracting #3: cost 10 inf + 0 193.784 * * [simplify]: Extracting #4: cost 64 inf + 0 193.784 * * [simplify]: Extracting #5: cost 174 inf + 0 193.784 * * [simplify]: Extracting #6: cost 237 inf + 2 193.786 * * [simplify]: Extracting #7: cost 189 inf + 17466 193.800 * * [simplify]: Extracting #8: cost 42 inf + 65961 193.815 * * [simplify]: Extracting #9: cost 2 inf + 73993 193.828 * * [simplify]: Extracting #10: cost 0 inf + 73138 193.847 * * [simplify]: Extracting #11: cost 0 inf + 72547 193.872 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 193.872 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 193.874 * * * * [progress]: [ 377 / 4754 ] simplifiying candidate # 193.874 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 193.875 * * [simplify]: iters left: 6 (43 enodes) 193.899 * * [simplify]: iters left: 5 (222 enodes) 194.013 * * [simplify]: Extracting #0: cost 1 inf + 0 194.013 * * [simplify]: Extracting #1: cost 3 inf + 0 194.013 * * [simplify]: Extracting #2: cost 6 inf + 0 194.013 * * [simplify]: Extracting #3: cost 10 inf + 0 194.014 * * [simplify]: Extracting #4: cost 16 inf + 0 194.014 * * [simplify]: Extracting #5: cost 108 inf + 0 194.015 * * [simplify]: Extracting #6: cost 245 inf + 0 194.017 * * [simplify]: Extracting #7: cost 294 inf + 1061 194.025 * * [simplify]: Extracting #8: cost 195 inf + 32276 194.044 * * [simplify]: Extracting #9: cost 104 inf + 71504 194.077 * * [simplify]: Extracting #10: cost 18 inf + 89930 194.095 * * [simplify]: Extracting #11: cost 3 inf + 96769 194.121 * * [simplify]: Extracting #12: cost 1 inf + 99459 194.151 * * [simplify]: Extracting #13: cost 0 inf + 101044 194.171 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))))) 194.171 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 194.172 * * * * [progress]: [ 378 / 4754 ] simplifiying candidate # 194.173 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 194.173 * * [simplify]: iters left: 6 (43 enodes) 194.199 * * [simplify]: iters left: 5 (220 enodes) 194.274 * * [simplify]: Extracting #0: cost 1 inf + 0 194.274 * * [simplify]: Extracting #1: cost 3 inf + 0 194.274 * * [simplify]: Extracting #2: cost 6 inf + 0 194.274 * * [simplify]: Extracting #3: cost 10 inf + 0 194.274 * * [simplify]: Extracting #4: cost 20 inf + 0 194.275 * * [simplify]: Extracting #5: cost 126 inf + 0 194.276 * * [simplify]: Extracting #6: cost 257 inf + 1 194.278 * * [simplify]: Extracting #7: cost 304 inf + 982 194.283 * * [simplify]: Extracting #8: cost 235 inf + 15489 194.299 * * [simplify]: Extracting #9: cost 150 inf + 41033 194.327 * * [simplify]: Extracting #10: cost 18 inf + 95046 194.346 * * [simplify]: Extracting #11: cost 3 inf + 104446 194.373 * * [simplify]: Extracting #12: cost 1 inf + 107496 194.395 * * [simplify]: Extracting #13: cost 0 inf + 109041 194.437 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 194.438 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 194.439 * * * * [progress]: [ 379 / 4754 ] simplifiying candidate # 194.439 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 194.440 * * [simplify]: iters left: 6 (43 enodes) 194.460 * * [simplify]: iters left: 5 (219 enodes) 194.531 * * [simplify]: Extracting #0: cost 1 inf + 0 194.531 * * [simplify]: Extracting #1: cost 3 inf + 0 194.531 * * [simplify]: Extracting #2: cost 6 inf + 0 194.531 * * [simplify]: Extracting #3: cost 10 inf + 0 194.531 * * [simplify]: Extracting #4: cost 20 inf + 0 194.531 * * [simplify]: Extracting #5: cost 117 inf + 0 194.532 * * [simplify]: Extracting #6: cost 237 inf + 44 194.534 * * [simplify]: Extracting #7: cost 282 inf + 1515 194.540 * * [simplify]: Extracting #8: cost 208 inf + 15826 194.549 * * [simplify]: Extracting #9: cost 147 inf + 33109 194.573 * * [simplify]: Extracting #10: cost 35 inf + 72792 194.606 * * [simplify]: Extracting #11: cost 8 inf + 86736 194.628 * * [simplify]: Extracting #12: cost 4 inf + 91196 194.646 * * [simplify]: Extracting #13: cost 1 inf + 95471 194.681 * * [simplify]: Extracting #14: cost 0 inf + 97016 194.716 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 194.717 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 194.718 * * * * [progress]: [ 380 / 4754 ] simplifiying candidate # 194.718 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 194.719 * * [simplify]: iters left: 6 (43 enodes) 194.743 * * [simplify]: iters left: 5 (220 enodes) 194.815 * * [simplify]: Extracting #0: cost 1 inf + 0 194.816 * * [simplify]: Extracting #1: cost 3 inf + 0 194.816 * * [simplify]: Extracting #2: cost 6 inf + 0 194.816 * * [simplify]: Extracting #3: cost 10 inf + 0 194.816 * * [simplify]: Extracting #4: cost 20 inf + 0 194.816 * * [simplify]: Extracting #5: cost 126 inf + 0 194.817 * * [simplify]: Extracting #6: cost 257 inf + 1 194.818 * * [simplify]: Extracting #7: cost 304 inf + 982 194.820 * * [simplify]: Extracting #8: cost 234 inf + 16154 194.827 * * [simplify]: Extracting #9: cost 149 inf + 41237 194.843 * * [simplify]: Extracting #10: cost 20 inf + 94950 194.876 * * [simplify]: Extracting #11: cost 3 inf + 105086 194.914 * * [simplify]: Extracting #12: cost 1 inf + 108136 194.935 * * [simplify]: Extracting #13: cost 0 inf + 109681 194.966 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 194.966 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 194.967 * * * * [progress]: [ 381 / 4754 ] simplifiying candidate # 194.968 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 194.968 * * [simplify]: iters left: 6 (43 enodes) 194.991 * * [simplify]: iters left: 5 (218 enodes) 195.078 * * [simplify]: Extracting #0: cost 1 inf + 0 195.078 * * [simplify]: Extracting #1: cost 3 inf + 0 195.078 * * [simplify]: Extracting #2: cost 6 inf + 0 195.078 * * [simplify]: Extracting #3: cost 10 inf + 0 195.078 * * [simplify]: Extracting #4: cost 20 inf + 0 195.078 * * [simplify]: Extracting #5: cost 117 inf + 0 195.079 * * [simplify]: Extracting #6: cost 232 inf + 44 195.080 * * [simplify]: Extracting #7: cost 271 inf + 2246 195.083 * * [simplify]: Extracting #8: cost 199 inf + 22111 195.092 * * [simplify]: Extracting #9: cost 90 inf + 65417 195.119 * * [simplify]: Extracting #10: cost 17 inf + 83196 195.152 * * [simplify]: Extracting #11: cost 7 inf + 86385 195.183 * * [simplify]: Extracting #12: cost 1 inf + 94455 195.217 * * [simplify]: Extracting #13: cost 0 inf + 96000 195.251 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 195.251 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 195.253 * * * * [progress]: [ 382 / 4754 ] simplifiying candidate # 195.253 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 195.254 * * [simplify]: iters left: 6 (48 enodes) 195.273 * * [simplify]: iters left: 5 (252 enodes) 195.346 * * [simplify]: Extracting #0: cost 1 inf + 0 195.346 * * [simplify]: Extracting #1: cost 3 inf + 0 195.346 * * [simplify]: Extracting #2: cost 6 inf + 0 195.346 * * [simplify]: Extracting #3: cost 10 inf + 0 195.346 * * [simplify]: Extracting #4: cost 16 inf + 0 195.346 * * [simplify]: Extracting #5: cost 114 inf + 0 195.347 * * [simplify]: Extracting #6: cost 294 inf + 0 195.348 * * [simplify]: Extracting #7: cost 366 inf + 1392 195.355 * * [simplify]: Extracting #8: cost 198 inf + 42930 195.378 * * [simplify]: Extracting #9: cost 36 inf + 113818 195.401 * * [simplify]: Extracting #10: cost 5 inf + 126822 195.437 * * [simplify]: Extracting #11: cost 1 inf + 131920 195.462 * * [simplify]: Extracting #12: cost 0 inf + 133665 195.494 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 195.494 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 195.495 * * * * [progress]: [ 383 / 4754 ] simplifiying candidate # 195.496 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 195.496 * * [simplify]: iters left: 6 (48 enodes) 195.510 * * [simplify]: iters left: 5 (250 enodes) 195.594 * * [simplify]: Extracting #0: cost 1 inf + 0 195.594 * * [simplify]: Extracting #1: cost 3 inf + 0 195.594 * * [simplify]: Extracting #2: cost 6 inf + 0 195.594 * * [simplify]: Extracting #3: cost 10 inf + 0 195.594 * * [simplify]: Extracting #4: cost 16 inf + 0 195.594 * * [simplify]: Extracting #5: cost 116 inf + 0 195.595 * * [simplify]: Extracting #6: cost 287 inf + 0 195.596 * * [simplify]: Extracting #7: cost 360 inf + 1068 195.602 * * [simplify]: Extracting #8: cost 224 inf + 37977 195.625 * * [simplify]: Extracting #9: cost 85 inf + 90043 195.655 * * [simplify]: Extracting #10: cost 7 inf + 129617 195.691 * * [simplify]: Extracting #11: cost 0 inf + 135292 195.725 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 195.725 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 195.726 * * * * [progress]: [ 384 / 4754 ] simplifiying candidate # 195.727 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 195.727 * * [simplify]: iters left: 6 (46 enodes) 195.752 * * [simplify]: iters left: 5 (240 enodes) 195.829 * * [simplify]: Extracting #0: cost 1 inf + 0 195.829 * * [simplify]: Extracting #1: cost 3 inf + 0 195.829 * * [simplify]: Extracting #2: cost 6 inf + 0 195.829 * * [simplify]: Extracting #3: cost 10 inf + 0 195.829 * * [simplify]: Extracting #4: cost 16 inf + 0 195.829 * * [simplify]: Extracting #5: cost 110 inf + 0 195.831 * * [simplify]: Extracting #6: cost 276 inf + 0 195.833 * * [simplify]: Extracting #7: cost 332 inf + 1272 195.843 * * [simplify]: Extracting #8: cost 196 inf + 31009 195.868 * * [simplify]: Extracting #9: cost 64 inf + 84179 195.893 * * [simplify]: Extracting #10: cost 13 inf + 110622 195.918 * * [simplify]: Extracting #11: cost 2 inf + 118639 195.947 * * [simplify]: Extracting #12: cost 1 inf + 120264 195.978 * * [simplify]: Extracting #13: cost 0 inf + 121889 196.005 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) 196.005 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 196.006 * * * * [progress]: [ 385 / 4754 ] simplifiying candidate # 196.006 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 196.006 * * [simplify]: iters left: 6 (48 enodes) 196.020 * * [simplify]: iters left: 5 (252 enodes) 196.098 * * [simplify]: Extracting #0: cost 1 inf + 0 196.098 * * [simplify]: Extracting #1: cost 3 inf + 0 196.098 * * [simplify]: Extracting #2: cost 6 inf + 0 196.098 * * [simplify]: Extracting #3: cost 10 inf + 0 196.098 * * [simplify]: Extracting #4: cost 16 inf + 0 196.098 * * [simplify]: Extracting #5: cost 112 inf + 0 196.099 * * [simplify]: Extracting #6: cost 286 inf + 0 196.100 * * [simplify]: Extracting #7: cost 341 inf + 1028 196.103 * * [simplify]: Extracting #8: cost 245 inf + 14990 196.116 * * [simplify]: Extracting #9: cost 128 inf + 53278 196.144 * * [simplify]: Extracting #10: cost 22 inf + 101873 196.166 * * [simplify]: Extracting #11: cost 1 inf + 115626 196.209 * * [simplify]: Extracting #12: cost 0 inf + 117371 196.248 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 196.248 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 196.249 * * * * [progress]: [ 386 / 4754 ] simplifiying candidate # 196.249 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 196.249 * * [simplify]: iters left: 6 (48 enodes) 196.263 * * [simplify]: iters left: 5 (252 enodes) 196.361 * * [simplify]: Extracting #0: cost 1 inf + 0 196.361 * * [simplify]: Extracting #1: cost 3 inf + 0 196.361 * * [simplify]: Extracting #2: cost 6 inf + 0 196.361 * * [simplify]: Extracting #3: cost 10 inf + 0 196.361 * * [simplify]: Extracting #4: cost 20 inf + 0 196.361 * * [simplify]: Extracting #5: cost 136 inf + 0 196.362 * * [simplify]: Extracting #6: cost 304 inf + 1 196.363 * * [simplify]: Extracting #7: cost 354 inf + 1315 196.370 * * [simplify]: Extracting #8: cost 193 inf + 44612 196.407 * * [simplify]: Extracting #9: cost 35 inf + 106965 196.434 * * [simplify]: Extracting #10: cost 5 inf + 127056 196.478 * * [simplify]: Extracting #11: cost 0 inf + 129380 196.506 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))) 196.507 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 196.507 * * * * [progress]: [ 387 / 4754 ] simplifiying candidate # 196.508 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 196.508 * * [simplify]: iters left: 6 (48 enodes) 196.525 * * [simplify]: iters left: 5 (252 enodes) 196.633 * * [simplify]: Extracting #0: cost 1 inf + 0 196.633 * * [simplify]: Extracting #1: cost 3 inf + 0 196.633 * * [simplify]: Extracting #2: cost 6 inf + 0 196.633 * * [simplify]: Extracting #3: cost 10 inf + 0 196.633 * * [simplify]: Extracting #4: cost 20 inf + 0 196.633 * * [simplify]: Extracting #5: cost 128 inf + 0 196.634 * * [simplify]: Extracting #6: cost 290 inf + 44 196.635 * * [simplify]: Extracting #7: cost 344 inf + 1155 196.641 * * [simplify]: Extracting #8: cost 165 inf + 42815 196.664 * * [simplify]: Extracting #9: cost 43 inf + 91323 196.710 * * [simplify]: Extracting #10: cost 3 inf + 115575 196.741 * * [simplify]: Extracting #11: cost 0 inf + 117224 196.769 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ phi2 phi1))))) (* (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) 196.769 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ phi2 phi1))))) (* (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 196.771 * * * * [progress]: [ 388 / 4754 ] simplifiying candidate # 196.771 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 196.772 * * [simplify]: iters left: 6 (48 enodes) 196.795 * * [simplify]: iters left: 5 (252 enodes) 196.868 * * [simplify]: Extracting #0: cost 1 inf + 0 196.868 * * [simplify]: Extracting #1: cost 3 inf + 0 196.868 * * [simplify]: Extracting #2: cost 6 inf + 0 196.868 * * [simplify]: Extracting #3: cost 10 inf + 0 196.868 * * [simplify]: Extracting #4: cost 20 inf + 0 196.869 * * [simplify]: Extracting #5: cost 136 inf + 0 196.870 * * [simplify]: Extracting #6: cost 303 inf + 1 196.873 * * [simplify]: Extracting #7: cost 355 inf + 1111 196.885 * * [simplify]: Extracting #8: cost 192 inf + 42173 196.909 * * [simplify]: Extracting #9: cost 37 inf + 106452 196.947 * * [simplify]: Extracting #10: cost 5 inf + 126239 196.994 * * [simplify]: Extracting #11: cost 0 inf + 130136 197.034 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 197.034 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 197.035 * * * * [progress]: [ 389 / 4754 ] simplifiying candidate # 197.035 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 197.036 * * [simplify]: iters left: 6 (48 enodes) 197.055 * * [simplify]: iters left: 5 (252 enodes) 197.120 * * [simplify]: Extracting #0: cost 1 inf + 0 197.120 * * [simplify]: Extracting #1: cost 3 inf + 0 197.120 * * [simplify]: Extracting #2: cost 6 inf + 0 197.120 * * [simplify]: Extracting #3: cost 10 inf + 0 197.120 * * [simplify]: Extracting #4: cost 20 inf + 0 197.120 * * [simplify]: Extracting #5: cost 127 inf + 0 197.121 * * [simplify]: Extracting #6: cost 289 inf + 44 197.122 * * [simplify]: Extracting #7: cost 344 inf + 1114 197.131 * * [simplify]: Extracting #8: cost 188 inf + 37951 197.157 * * [simplify]: Extracting #9: cost 68 inf + 83028 197.194 * * [simplify]: Extracting #10: cost 8 inf + 111274 197.236 * * [simplify]: Extracting #11: cost 0 inf + 117540 197.281 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 197.281 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 197.282 * * * * [progress]: [ 390 / 4754 ] simplifiying candidate # 197.283 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 197.283 * * [simplify]: iters left: 6 (48 enodes) 197.310 * * [simplify]: iters left: 5 (251 enodes) 197.431 * * [simplify]: Extracting #0: cost 1 inf + 0 197.431 * * [simplify]: Extracting #1: cost 3 inf + 0 197.431 * * [simplify]: Extracting #2: cost 6 inf + 0 197.431 * * [simplify]: Extracting #3: cost 10 inf + 0 197.431 * * [simplify]: Extracting #4: cost 16 inf + 0 197.431 * * [simplify]: Extracting #5: cost 114 inf + 0 197.432 * * [simplify]: Extracting #6: cost 296 inf + 0 197.433 * * [simplify]: Extracting #7: cost 362 inf + 1473 197.441 * * [simplify]: Extracting #8: cost 174 inf + 51579 197.461 * * [simplify]: Extracting #9: cost 31 inf + 113634 197.484 * * [simplify]: Extracting #10: cost 7 inf + 124055 197.522 * * [simplify]: Extracting #11: cost 1 inf + 132032 197.548 * * [simplify]: Extracting #12: cost 0 inf + 133497 197.574 * * [simplify]: Extracting #13: cost 0 inf + 133377 197.601 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) 197.601 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 197.603 * * * * [progress]: [ 391 / 4754 ] simplifiying candidate # 197.603 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 197.604 * * [simplify]: iters left: 6 (48 enodes) 197.627 * * [simplify]: iters left: 5 (249 enodes) 197.696 * * [simplify]: Extracting #0: cost 1 inf + 0 197.696 * * [simplify]: Extracting #1: cost 3 inf + 0 197.697 * * [simplify]: Extracting #2: cost 6 inf + 0 197.697 * * [simplify]: Extracting #3: cost 10 inf + 0 197.697 * * [simplify]: Extracting #4: cost 16 inf + 0 197.697 * * [simplify]: Extracting #5: cost 113 inf + 0 197.697 * * [simplify]: Extracting #6: cost 275 inf + 0 197.703 * * [simplify]: Extracting #7: cost 336 inf + 1639 197.709 * * [simplify]: Extracting #8: cost 245 inf + 14827 197.724 * * [simplify]: Extracting #9: cost 127 inf + 61881 197.746 * * [simplify]: Extracting #10: cost 10 inf + 118380 197.774 * * [simplify]: Extracting #11: cost 1 inf + 126673 197.799 * * [simplify]: Extracting #12: cost 0 inf + 128338 197.838 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)))))) 197.838 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 197.840 * * * * [progress]: [ 392 / 4754 ] simplifiying candidate # 197.840 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 197.841 * * [simplify]: iters left: 6 (46 enodes) 197.865 * * [simplify]: iters left: 5 (237 enodes) 197.988 * * [simplify]: Extracting #0: cost 1 inf + 0 197.989 * * [simplify]: Extracting #1: cost 3 inf + 0 197.989 * * [simplify]: Extracting #2: cost 6 inf + 0 197.989 * * [simplify]: Extracting #3: cost 10 inf + 0 197.989 * * [simplify]: Extracting #4: cost 16 inf + 0 197.989 * * [simplify]: Extracting #5: cost 111 inf + 0 197.990 * * [simplify]: Extracting #6: cost 269 inf + 0 197.993 * * [simplify]: Extracting #7: cost 319 inf + 1433 198.002 * * [simplify]: Extracting #8: cost 198 inf + 24435 198.017 * * [simplify]: Extracting #9: cost 75 inf + 73326 198.042 * * [simplify]: Extracting #10: cost 12 inf + 111741 198.083 * * [simplify]: Extracting #11: cost 0 inf + 117437 198.128 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))))) 198.128 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 198.129 * * * * [progress]: [ 393 / 4754 ] simplifiying candidate # 198.129 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 198.130 * * [simplify]: iters left: 6 (48 enodes) 198.156 * * [simplify]: iters left: 5 (251 enodes) 198.257 * * [simplify]: Extracting #0: cost 1 inf + 0 198.257 * * [simplify]: Extracting #1: cost 3 inf + 0 198.257 * * [simplify]: Extracting #2: cost 6 inf + 0 198.257 * * [simplify]: Extracting #3: cost 10 inf + 0 198.257 * * [simplify]: Extracting #4: cost 16 inf + 0 198.257 * * [simplify]: Extracting #5: cost 112 inf + 0 198.259 * * [simplify]: Extracting #6: cost 287 inf + 0 198.261 * * [simplify]: Extracting #7: cost 333 inf + 1433 198.271 * * [simplify]: Extracting #8: cost 200 inf + 29119 198.303 * * [simplify]: Extracting #9: cost 46 inf + 91987 198.336 * * [simplify]: Extracting #10: cost 5 inf + 111879 198.365 * * [simplify]: Extracting #11: cost 0 inf + 116938 198.406 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda2 lambda1)))))) 198.406 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 198.407 * * * * [progress]: [ 394 / 4754 ] simplifiying candidate # 198.408 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 198.409 * * [simplify]: iters left: 6 (48 enodes) 198.426 * * [simplify]: iters left: 5 (251 enodes) 198.505 * * [simplify]: Extracting #0: cost 1 inf + 0 198.506 * * [simplify]: Extracting #1: cost 3 inf + 0 198.506 * * [simplify]: Extracting #2: cost 6 inf + 0 198.506 * * [simplify]: Extracting #3: cost 10 inf + 0 198.506 * * [simplify]: Extracting #4: cost 20 inf + 0 198.506 * * [simplify]: Extracting #5: cost 136 inf + 0 198.507 * * [simplify]: Extracting #6: cost 305 inf + 1 198.509 * * [simplify]: Extracting #7: cost 352 inf + 1073 198.524 * * [simplify]: Extracting #8: cost 188 inf + 44464 198.560 * * [simplify]: Extracting #9: cost 32 inf + 106928 198.593 * * [simplify]: Extracting #10: cost 3 inf + 125466 198.630 * * [simplify]: Extracting #11: cost 0 inf + 128648 198.654 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 198.654 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 198.655 * * * * [progress]: [ 395 / 4754 ] simplifiying candidate # 198.656 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 198.656 * * [simplify]: iters left: 6 (48 enodes) 198.681 * * [simplify]: iters left: 5 (251 enodes) 198.784 * * [simplify]: Extracting #0: cost 1 inf + 0 198.784 * * [simplify]: Extracting #1: cost 3 inf + 0 198.784 * * [simplify]: Extracting #2: cost 6 inf + 0 198.784 * * [simplify]: Extracting #3: cost 10 inf + 0 198.784 * * [simplify]: Extracting #4: cost 20 inf + 0 198.784 * * [simplify]: Extracting #5: cost 128 inf + 0 198.785 * * [simplify]: Extracting #6: cost 290 inf + 44 198.786 * * [simplify]: Extracting #7: cost 336 inf + 1561 198.790 * * [simplify]: Extracting #8: cost 230 inf + 17664 198.799 * * [simplify]: Extracting #9: cost 122 inf + 55330 198.832 * * [simplify]: Extracting #10: cost 10 inf + 104805 198.854 * * [simplify]: Extracting #11: cost 1 inf + 113722 198.879 * * [simplify]: Extracting #12: cost 0 inf + 115467 198.901 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))))) 198.901 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 198.902 * * * * [progress]: [ 396 / 4754 ] simplifiying candidate # 198.903 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 198.903 * * [simplify]: iters left: 6 (48 enodes) 198.925 * * [simplify]: iters left: 5 (251 enodes) 198.999 * * [simplify]: Extracting #0: cost 1 inf + 0 198.999 * * [simplify]: Extracting #1: cost 3 inf + 0 198.999 * * [simplify]: Extracting #2: cost 6 inf + 0 198.999 * * [simplify]: Extracting #3: cost 10 inf + 0 198.999 * * [simplify]: Extracting #4: cost 20 inf + 0 199.000 * * [simplify]: Extracting #5: cost 136 inf + 0 199.001 * * [simplify]: Extracting #6: cost 305 inf + 1 199.004 * * [simplify]: Extracting #7: cost 354 inf + 867 199.014 * * [simplify]: Extracting #8: cost 185 inf + 46135 199.033 * * [simplify]: Extracting #9: cost 32 inf + 107728 199.078 * * [simplify]: Extracting #10: cost 3 inf + 126266 199.125 * * [simplify]: Extracting #11: cost 0 inf + 129448 199.150 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 199.150 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 199.151 * * * * [progress]: [ 397 / 4754 ] simplifiying candidate # 199.151 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 199.152 * * [simplify]: iters left: 6 (48 enodes) 199.165 * * [simplify]: iters left: 5 (251 enodes) 199.254 * * [simplify]: Extracting #0: cost 1 inf + 0 199.254 * * [simplify]: Extracting #1: cost 3 inf + 0 199.254 * * [simplify]: Extracting #2: cost 6 inf + 0 199.254 * * [simplify]: Extracting #3: cost 10 inf + 0 199.254 * * [simplify]: Extracting #4: cost 20 inf + 0 199.254 * * [simplify]: Extracting #5: cost 127 inf + 0 199.256 * * [simplify]: Extracting #6: cost 290 inf + 44 199.258 * * [simplify]: Extracting #7: cost 335 inf + 1603 199.265 * * [simplify]: Extracting #8: cost 230 inf + 17784 199.281 * * [simplify]: Extracting #9: cost 119 inf + 56382 199.318 * * [simplify]: Extracting #10: cost 11 inf + 104873 199.359 * * [simplify]: Extracting #11: cost 1 inf + 114042 199.405 * * [simplify]: Extracting #12: cost 0 inf + 115787 199.448 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))))) 199.448 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 199.449 * * * * [progress]: [ 398 / 4754 ] simplifiying candidate # 199.449 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 199.449 * * [simplify]: iters left: 6 (48 enodes) 199.463 * * [simplify]: iters left: 5 (256 enodes) 199.575 * * [simplify]: Extracting #0: cost 1 inf + 0 199.575 * * [simplify]: Extracting #1: cost 3 inf + 0 199.575 * * [simplify]: Extracting #2: cost 6 inf + 0 199.575 * * [simplify]: Extracting #3: cost 10 inf + 0 199.575 * * [simplify]: Extracting #4: cost 16 inf + 0 199.575 * * [simplify]: Extracting #5: cost 120 inf + 0 199.576 * * [simplify]: Extracting #6: cost 314 inf + 0 199.579 * * [simplify]: Extracting #7: cost 369 inf + 1841 199.591 * * [simplify]: Extracting #8: cost 203 inf + 39073 199.628 * * [simplify]: Extracting #9: cost 24 inf + 111614 199.662 * * [simplify]: Extracting #10: cost 5 inf + 123205 199.699 * * [simplify]: Extracting #11: cost 0 inf + 128704 199.733 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 199.733 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 199.734 * * * * [progress]: [ 399 / 4754 ] simplifiying candidate # 199.737 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 199.737 * * [simplify]: iters left: 6 (48 enodes) 199.752 * * [simplify]: iters left: 5 (250 enodes) 199.879 * * [simplify]: Extracting #0: cost 1 inf + 0 199.879 * * [simplify]: Extracting #1: cost 3 inf + 0 199.879 * * [simplify]: Extracting #2: cost 6 inf + 0 199.879 * * [simplify]: Extracting #3: cost 10 inf + 0 199.879 * * [simplify]: Extracting #4: cost 16 inf + 0 199.879 * * [simplify]: Extracting #5: cost 121 inf + 0 199.881 * * [simplify]: Extracting #6: cost 288 inf + 0 199.883 * * [simplify]: Extracting #7: cost 355 inf + 1312 199.895 * * [simplify]: Extracting #8: cost 199 inf + 40948 199.915 * * [simplify]: Extracting #9: cost 61 inf + 94834 199.947 * * [simplify]: Extracting #10: cost 17 inf + 113644 199.980 * * [simplify]: Extracting #11: cost 1 inf + 123374 200.006 * * [simplify]: Extracting #12: cost 0 inf + 125039 200.053 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 200.053 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 200.054 * * * * [progress]: [ 400 / 4754 ] simplifiying candidate # 200.055 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 200.055 * * [simplify]: iters left: 6 (46 enodes) 200.081 * * [simplify]: iters left: 5 (240 enodes) 200.154 * * [simplify]: Extracting #0: cost 1 inf + 0 200.154 * * [simplify]: Extracting #1: cost 3 inf + 0 200.154 * * [simplify]: Extracting #2: cost 6 inf + 0 200.154 * * [simplify]: Extracting #3: cost 10 inf + 0 200.154 * * [simplify]: Extracting #4: cost 16 inf + 0 200.155 * * [simplify]: Extracting #5: cost 114 inf + 0 200.155 * * [simplify]: Extracting #6: cost 280 inf + 0 200.157 * * [simplify]: Extracting #7: cost 324 inf + 1193 200.161 * * [simplify]: Extracting #8: cost 196 inf + 27886 200.184 * * [simplify]: Extracting #9: cost 72 inf + 70450 200.213 * * [simplify]: Extracting #10: cost 7 inf + 101826 200.233 * * [simplify]: Extracting #11: cost 2 inf + 108391 200.264 * * [simplify]: Extracting #12: cost 0 inf + 111761 200.286 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) 200.286 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 200.286 * * * * [progress]: [ 401 / 4754 ] simplifiying candidate # 200.287 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 200.287 * * [simplify]: iters left: 6 (48 enodes) 200.301 * * [simplify]: iters left: 5 (256 enodes) 200.402 * * [simplify]: Extracting #0: cost 1 inf + 0 200.402 * * [simplify]: Extracting #1: cost 3 inf + 0 200.402 * * [simplify]: Extracting #2: cost 6 inf + 0 200.402 * * [simplify]: Extracting #3: cost 10 inf + 0 200.402 * * [simplify]: Extracting #4: cost 16 inf + 0 200.402 * * [simplify]: Extracting #5: cost 118 inf + 0 200.403 * * [simplify]: Extracting #6: cost 302 inf + 0 200.404 * * [simplify]: Extracting #7: cost 341 inf + 1320 200.408 * * [simplify]: Extracting #8: cost 210 inf + 27038 200.423 * * [simplify]: Extracting #9: cost 112 inf + 56964 200.448 * * [simplify]: Extracting #10: cost 12 inf + 98379 200.472 * * [simplify]: Extracting #11: cost 2 inf + 106121 200.496 * * [simplify]: Extracting #12: cost 0 inf + 109331 200.534 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))))) 200.535 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 200.536 * * * * [progress]: [ 402 / 4754 ] simplifiying candidate # 200.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 200.537 * * [simplify]: iters left: 6 (48 enodes) 200.562 * * [simplify]: iters left: 5 (252 enodes) 200.663 * * [simplify]: Extracting #0: cost 1 inf + 0 200.663 * * [simplify]: Extracting #1: cost 3 inf + 0 200.663 * * [simplify]: Extracting #2: cost 6 inf + 0 200.663 * * [simplify]: Extracting #3: cost 10 inf + 0 200.663 * * [simplify]: Extracting #4: cost 20 inf + 0 200.664 * * [simplify]: Extracting #5: cost 140 inf + 0 200.664 * * [simplify]: Extracting #6: cost 309 inf + 1 200.666 * * [simplify]: Extracting #7: cost 338 inf + 2334 200.676 * * [simplify]: Extracting #8: cost 176 inf + 42234 200.714 * * [simplify]: Extracting #9: cost 25 inf + 101728 200.754 * * [simplify]: Extracting #10: cost 8 inf + 111581 200.777 * * [simplify]: Extracting #11: cost 1 inf + 117064 200.808 * * [simplify]: Extracting #12: cost 0 inf + 118809 200.852 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 200.853 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 200.854 * * * * [progress]: [ 403 / 4754 ] simplifiying candidate # 200.854 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 200.855 * * [simplify]: iters left: 6 (48 enodes) 200.882 * * [simplify]: iters left: 5 (252 enodes) 200.978 * * [simplify]: Extracting #0: cost 1 inf + 0 200.979 * * [simplify]: Extracting #1: cost 3 inf + 0 200.979 * * [simplify]: Extracting #2: cost 6 inf + 0 200.979 * * [simplify]: Extracting #3: cost 10 inf + 0 200.979 * * [simplify]: Extracting #4: cost 20 inf + 0 200.979 * * [simplify]: Extracting #5: cost 130 inf + 0 200.980 * * [simplify]: Extracting #6: cost 292 inf + 44 200.983 * * [simplify]: Extracting #7: cost 325 inf + 2217 200.992 * * [simplify]: Extracting #8: cost 173 inf + 36090 201.007 * * [simplify]: Extracting #9: cost 44 inf + 85185 201.026 * * [simplify]: Extracting #10: cost 7 inf + 100830 201.046 * * [simplify]: Extracting #11: cost 1 inf + 105794 201.070 * * [simplify]: Extracting #12: cost 0 inf + 107539 201.111 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)))))) 201.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 201.112 * * * * [progress]: [ 404 / 4754 ] simplifiying candidate # 201.113 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 201.113 * * [simplify]: iters left: 6 (48 enodes) 201.140 * * [simplify]: iters left: 5 (252 enodes) 201.251 * * [simplify]: Extracting #0: cost 1 inf + 0 201.251 * * [simplify]: Extracting #1: cost 3 inf + 0 201.251 * * [simplify]: Extracting #2: cost 6 inf + 0 201.251 * * [simplify]: Extracting #3: cost 10 inf + 0 201.251 * * [simplify]: Extracting #4: cost 20 inf + 0 201.252 * * [simplify]: Extracting #5: cost 140 inf + 0 201.252 * * [simplify]: Extracting #6: cost 309 inf + 1 201.254 * * [simplify]: Extracting #7: cost 340 inf + 2172 201.260 * * [simplify]: Extracting #8: cost 187 inf + 38974 201.279 * * [simplify]: Extracting #9: cost 33 inf + 98208 201.299 * * [simplify]: Extracting #10: cost 8 inf + 112181 201.336 * * [simplify]: Extracting #11: cost 1 inf + 117704 201.358 * * [simplify]: Extracting #12: cost 0 inf + 119449 201.381 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 201.381 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 201.382 * * * * [progress]: [ 405 / 4754 ] simplifiying candidate # 201.382 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 201.382 * * [simplify]: iters left: 6 (48 enodes) 201.395 * * [simplify]: iters left: 5 (252 enodes) 201.500 * * [simplify]: Extracting #0: cost 1 inf + 0 201.500 * * [simplify]: Extracting #1: cost 3 inf + 0 201.500 * * [simplify]: Extracting #2: cost 6 inf + 0 201.500 * * [simplify]: Extracting #3: cost 10 inf + 0 201.500 * * [simplify]: Extracting #4: cost 20 inf + 0 201.501 * * [simplify]: Extracting #5: cost 129 inf + 0 201.502 * * [simplify]: Extracting #6: cost 292 inf + 44 201.504 * * [simplify]: Extracting #7: cost 326 inf + 2055 201.516 * * [simplify]: Extracting #8: cost 173 inf + 36170 201.548 * * [simplify]: Extracting #9: cost 44 inf + 85425 201.585 * * [simplify]: Extracting #10: cost 7 inf + 101070 201.623 * * [simplify]: Extracting #11: cost 1 inf + 106034 201.661 * * [simplify]: Extracting #12: cost 0 inf + 107779 201.700 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 201.700 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 201.702 * * * * [progress]: [ 406 / 4754 ] simplifiying candidate # 201.702 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 201.703 * * [simplify]: iters left: 6 (46 enodes) 201.730 * * [simplify]: iters left: 5 (234 enodes) 201.839 * * [simplify]: Extracting #0: cost 1 inf + 0 201.840 * * [simplify]: Extracting #1: cost 3 inf + 0 201.840 * * [simplify]: Extracting #2: cost 6 inf + 0 201.840 * * [simplify]: Extracting #3: cost 10 inf + 0 201.840 * * [simplify]: Extracting #4: cost 16 inf + 0 201.840 * * [simplify]: Extracting #5: cost 113 inf + 0 201.841 * * [simplify]: Extracting #6: cost 276 inf + 0 201.843 * * [simplify]: Extracting #7: cost 339 inf + 861 201.855 * * [simplify]: Extracting #8: cost 232 inf + 22061 201.879 * * [simplify]: Extracting #9: cost 84 inf + 77371 201.900 * * [simplify]: Extracting #10: cost 15 inf + 110771 201.926 * * [simplify]: Extracting #11: cost 2 inf + 120838 201.971 * * [simplify]: Extracting #12: cost 0 inf + 124368 202.019 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) 202.019 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 202.020 * * * * [progress]: [ 407 / 4754 ] simplifiying candidate # 202.021 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 202.021 * * [simplify]: iters left: 6 (46 enodes) 202.046 * * [simplify]: iters left: 5 (232 enodes) 202.150 * * [simplify]: Extracting #0: cost 1 inf + 0 202.150 * * [simplify]: Extracting #1: cost 3 inf + 0 202.150 * * [simplify]: Extracting #2: cost 6 inf + 0 202.150 * * [simplify]: Extracting #3: cost 10 inf + 0 202.150 * * [simplify]: Extracting #4: cost 16 inf + 0 202.150 * * [simplify]: Extracting #5: cost 113 inf + 0 202.151 * * [simplify]: Extracting #6: cost 253 inf + 0 202.152 * * [simplify]: Extracting #7: cost 321 inf + 858 202.156 * * [simplify]: Extracting #8: cost 228 inf + 28931 202.173 * * [simplify]: Extracting #9: cost 105 inf + 84125 202.202 * * [simplify]: Extracting #10: cost 23 inf + 108485 202.223 * * [simplify]: Extracting #11: cost 6 inf + 112579 202.254 * * [simplify]: Extracting #12: cost 2 inf + 118079 202.283 * * [simplify]: Extracting #13: cost 0 inf + 121609 202.306 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* (* lambda1 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))))) 202.307 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* (* lambda1 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 202.307 * * * * [progress]: [ 408 / 4754 ] simplifiying candidate # 202.308 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 202.308 * * [simplify]: iters left: 6 (44 enodes) 202.319 * * [simplify]: iters left: 5 (220 enodes) 202.416 * * [simplify]: Extracting #0: cost 1 inf + 0 202.417 * * [simplify]: Extracting #1: cost 3 inf + 0 202.417 * * [simplify]: Extracting #2: cost 6 inf + 0 202.417 * * [simplify]: Extracting #3: cost 10 inf + 0 202.417 * * [simplify]: Extracting #4: cost 16 inf + 0 202.417 * * [simplify]: Extracting #5: cost 110 inf + 0 202.418 * * [simplify]: Extracting #6: cost 248 inf + 0 202.420 * * [simplify]: Extracting #7: cost 289 inf + 1554 202.429 * * [simplify]: Extracting #8: cost 186 inf + 23975 202.457 * * [simplify]: Extracting #9: cost 57 inf + 78229 202.488 * * [simplify]: Extracting #10: cost 11 inf + 100523 202.515 * * [simplify]: Extracting #11: cost 1 inf + 109319 202.557 * * [simplify]: Extracting #12: cost 0 inf + 111104 202.597 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (- phi1 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 202.598 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (- phi1 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 202.599 * * * * [progress]: [ 409 / 4754 ] simplifiying candidate # 202.599 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 202.600 * * [simplify]: iters left: 6 (46 enodes) 202.625 * * [simplify]: iters left: 5 (234 enodes) 202.710 * * [simplify]: Extracting #0: cost 1 inf + 0 202.710 * * [simplify]: Extracting #1: cost 3 inf + 0 202.711 * * [simplify]: Extracting #2: cost 6 inf + 0 202.711 * * [simplify]: Extracting #3: cost 10 inf + 0 202.711 * * [simplify]: Extracting #4: cost 16 inf + 0 202.711 * * [simplify]: Extracting #5: cost 111 inf + 0 202.712 * * [simplify]: Extracting #6: cost 267 inf + 0 202.714 * * [simplify]: Extracting #7: cost 311 inf + 944 202.719 * * [simplify]: Extracting #8: cost 203 inf + 23746 202.732 * * [simplify]: Extracting #9: cost 61 inf + 76832 202.763 * * [simplify]: Extracting #10: cost 9 inf + 104098 202.799 * * [simplify]: Extracting #11: cost 0 inf + 109489 202.819 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) 202.819 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 202.820 * * * * [progress]: [ 410 / 4754 ] simplifiying candidate # 202.820 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 202.821 * * [simplify]: iters left: 6 (46 enodes) 202.838 * * [simplify]: iters left: 5 (234 enodes) 202.916 * * [simplify]: Extracting #0: cost 1 inf + 0 202.916 * * [simplify]: Extracting #1: cost 3 inf + 0 202.916 * * [simplify]: Extracting #2: cost 6 inf + 0 202.917 * * [simplify]: Extracting #3: cost 10 inf + 0 202.917 * * [simplify]: Extracting #4: cost 20 inf + 0 202.917 * * [simplify]: Extracting #5: cost 135 inf + 0 202.917 * * [simplify]: Extracting #6: cost 284 inf + 1 202.919 * * [simplify]: Extracting #7: cost 323 inf + 1391 202.922 * * [simplify]: Extracting #8: cost 232 inf + 16380 202.931 * * [simplify]: Extracting #9: cost 126 inf + 53662 202.963 * * [simplify]: Extracting #10: cost 24 inf + 100475 202.999 * * [simplify]: Extracting #11: cost 1 inf + 116370 203.029 * * [simplify]: Extracting #12: cost 0 inf + 118195 203.053 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))))) 203.053 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 203.054 * * * * [progress]: [ 411 / 4754 ] simplifiying candidate # 203.054 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 203.054 * * [simplify]: iters left: 6 (46 enodes) 203.071 * * [simplify]: iters left: 5 (234 enodes) 203.173 * * [simplify]: Extracting #0: cost 1 inf + 0 203.173 * * [simplify]: Extracting #1: cost 3 inf + 0 203.173 * * [simplify]: Extracting #2: cost 6 inf + 0 203.173 * * [simplify]: Extracting #3: cost 10 inf + 0 203.173 * * [simplify]: Extracting #4: cost 20 inf + 0 203.174 * * [simplify]: Extracting #5: cost 127 inf + 0 203.175 * * [simplify]: Extracting #6: cost 268 inf + 86 203.178 * * [simplify]: Extracting #7: cost 294 inf + 3586 203.186 * * [simplify]: Extracting #8: cost 207 inf + 19499 203.205 * * [simplify]: Extracting #9: cost 114 inf + 52218 203.224 * * [simplify]: Extracting #10: cost 23 inf + 89482 203.250 * * [simplify]: Extracting #11: cost 2 inf + 103444 203.288 * * [simplify]: Extracting #12: cost 0 inf + 107134 203.327 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) 203.327 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 203.328 * * * * [progress]: [ 412 / 4754 ] simplifiying candidate # 203.329 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 203.329 * * [simplify]: iters left: 6 (46 enodes) 203.354 * * [simplify]: iters left: 5 (234 enodes) 203.435 * * [simplify]: Extracting #0: cost 1 inf + 0 203.435 * * [simplify]: Extracting #1: cost 3 inf + 0 203.435 * * [simplify]: Extracting #2: cost 6 inf + 0 203.435 * * [simplify]: Extracting #3: cost 10 inf + 0 203.435 * * [simplify]: Extracting #4: cost 20 inf + 0 203.435 * * [simplify]: Extracting #5: cost 135 inf + 0 203.436 * * [simplify]: Extracting #6: cost 284 inf + 1 203.438 * * [simplify]: Extracting #7: cost 323 inf + 1391 203.443 * * [simplify]: Extracting #8: cost 231 inf + 16542 203.459 * * [simplify]: Extracting #9: cost 126 inf + 54302 203.492 * * [simplify]: Extracting #10: cost 24 inf + 101115 203.529 * * [simplify]: Extracting #11: cost 1 inf + 117010 203.552 * * [simplify]: Extracting #12: cost 0 inf + 118835 203.584 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))))) 203.584 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 203.585 * * * * [progress]: [ 413 / 4754 ] simplifiying candidate # 203.585 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 203.586 * * [simplify]: iters left: 6 (46 enodes) 203.614 * * [simplify]: iters left: 5 (234 enodes) 203.704 * * [simplify]: Extracting #0: cost 1 inf + 0 203.705 * * [simplify]: Extracting #1: cost 3 inf + 0 203.705 * * [simplify]: Extracting #2: cost 6 inf + 0 203.705 * * [simplify]: Extracting #3: cost 10 inf + 0 203.705 * * [simplify]: Extracting #4: cost 20 inf + 0 203.705 * * [simplify]: Extracting #5: cost 126 inf + 0 203.706 * * [simplify]: Extracting #6: cost 268 inf + 86 203.707 * * [simplify]: Extracting #7: cost 296 inf + 3222 203.710 * * [simplify]: Extracting #8: cost 215 inf + 17206 203.725 * * [simplify]: Extracting #9: cost 115 inf + 52698 203.756 * * [simplify]: Extracting #10: cost 29 inf + 86825 203.781 * * [simplify]: Extracting #11: cost 2 inf + 103324 203.805 * * [simplify]: Extracting #12: cost 0 inf + 106574 203.835 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) 203.835 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 203.836 * * * * [progress]: [ 414 / 4754 ] simplifiying candidate # 203.836 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 203.837 * * [simplify]: iters left: 6 (49 enodes) 203.852 * * [simplify]: iters left: 5 (248 enodes) 203.941 * * [simplify]: Extracting #0: cost 1 inf + 0 203.941 * * [simplify]: Extracting #1: cost 3 inf + 0 203.941 * * [simplify]: Extracting #2: cost 6 inf + 0 203.941 * * [simplify]: Extracting #3: cost 10 inf + 0 203.941 * * [simplify]: Extracting #4: cost 16 inf + 0 203.941 * * [simplify]: Extracting #5: cost 112 inf + 0 203.942 * * [simplify]: Extracting #6: cost 287 inf + 0 203.945 * * [simplify]: Extracting #7: cost 347 inf + 1113 203.963 * * [simplify]: Extracting #8: cost 169 inf + 44752 203.982 * * [simplify]: Extracting #9: cost 40 inf + 95289 204.008 * * [simplify]: Extracting #10: cost 12 inf + 108839 204.037 * * [simplify]: Extracting #11: cost 3 inf + 115839 204.068 * * [simplify]: Extracting #12: cost 0 inf + 120594 204.110 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 204.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 204.112 * * * * [progress]: [ 415 / 4754 ] simplifiying candidate # 204.112 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 204.113 * * [simplify]: iters left: 6 (49 enodes) 204.128 * * [simplify]: iters left: 5 (246 enodes) 204.213 * * [simplify]: Extracting #0: cost 1 inf + 0 204.213 * * [simplify]: Extracting #1: cost 3 inf + 0 204.213 * * [simplify]: Extracting #2: cost 6 inf + 0 204.213 * * [simplify]: Extracting #3: cost 10 inf + 0 204.213 * * [simplify]: Extracting #4: cost 16 inf + 0 204.213 * * [simplify]: Extracting #5: cost 121 inf + 0 204.214 * * [simplify]: Extracting #6: cost 286 inf + 0 204.215 * * [simplify]: Extracting #7: cost 344 inf + 1233 204.219 * * [simplify]: Extracting #8: cost 238 inf + 19471 204.236 * * [simplify]: Extracting #9: cost 111 inf + 67147 204.277 * * [simplify]: Extracting #10: cost 10 inf + 115744 204.316 * * [simplify]: Extracting #11: cost 0 inf + 122942 204.339 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 204.339 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 204.340 * * * * [progress]: [ 416 / 4754 ] simplifiying candidate # 204.340 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 204.340 * * [simplify]: iters left: 6 (47 enodes) 204.361 * * [simplify]: iters left: 5 (236 enodes) 204.472 * * [simplify]: Extracting #0: cost 1 inf + 0 204.472 * * [simplify]: Extracting #1: cost 3 inf + 0 204.473 * * [simplify]: Extracting #2: cost 6 inf + 0 204.473 * * [simplify]: Extracting #3: cost 10 inf + 0 204.473 * * [simplify]: Extracting #4: cost 16 inf + 0 204.473 * * [simplify]: Extracting #5: cost 113 inf + 0 204.474 * * [simplify]: Extracting #6: cost 273 inf + 0 204.477 * * [simplify]: Extracting #7: cost 315 inf + 1716 204.482 * * [simplify]: Extracting #8: cost 214 inf + 19742 204.490 * * [simplify]: Extracting #9: cost 136 inf + 45226 204.506 * * [simplify]: Extracting #10: cost 34 inf + 88907 204.532 * * [simplify]: Extracting #11: cost 7 inf + 105821 204.558 * * [simplify]: Extracting #12: cost 0 inf + 112436 204.583 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 204.583 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 204.584 * * * * [progress]: [ 417 / 4754 ] simplifiying candidate # 204.585 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 204.585 * * [simplify]: iters left: 6 (49 enodes) 204.599 * * [simplify]: iters left: 5 (248 enodes) 204.715 * * [simplify]: Extracting #0: cost 1 inf + 0 204.715 * * [simplify]: Extracting #1: cost 3 inf + 0 204.715 * * [simplify]: Extracting #2: cost 6 inf + 0 204.716 * * [simplify]: Extracting #3: cost 10 inf + 0 204.716 * * [simplify]: Extracting #4: cost 16 inf + 0 204.716 * * [simplify]: Extracting #5: cost 110 inf + 0 204.717 * * [simplify]: Extracting #6: cost 279 inf + 0 204.719 * * [simplify]: Extracting #7: cost 309 inf + 2655 204.726 * * [simplify]: Extracting #8: cost 215 inf + 18035 204.741 * * [simplify]: Extracting #9: cost 134 inf + 43129 204.769 * * [simplify]: Extracting #10: cost 35 inf + 83892 204.798 * * [simplify]: Extracting #11: cost 4 inf + 100240 204.817 * * [simplify]: Extracting #12: cost 0 inf + 104580 204.854 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) 204.854 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 204.856 * * * * [progress]: [ 418 / 4754 ] simplifiying candidate # 204.856 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 204.857 * * [simplify]: iters left: 6 (49 enodes) 204.883 * * [simplify]: iters left: 5 (248 enodes) 204.947 * * [simplify]: Extracting #0: cost 1 inf + 0 204.947 * * [simplify]: Extracting #1: cost 3 inf + 0 204.947 * * [simplify]: Extracting #2: cost 6 inf + 0 204.947 * * [simplify]: Extracting #3: cost 10 inf + 0 204.947 * * [simplify]: Extracting #4: cost 20 inf + 0 204.947 * * [simplify]: Extracting #5: cost 134 inf + 0 204.949 * * [simplify]: Extracting #6: cost 295 inf + 1 204.951 * * [simplify]: Extracting #7: cost 334 inf + 2035 204.958 * * [simplify]: Extracting #8: cost 243 inf + 17319 204.974 * * [simplify]: Extracting #9: cost 142 inf + 46592 205.000 * * [simplify]: Extracting #10: cost 58 inf + 79945 205.041 * * [simplify]: Extracting #11: cost 4 inf + 107641 205.081 * * [simplify]: Extracting #12: cost 0 inf + 113061 205.121 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 205.121 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 205.122 * * * * [progress]: [ 419 / 4754 ] simplifiying candidate # 205.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 205.124 * * [simplify]: iters left: 6 (49 enodes) 205.150 * * [simplify]: iters left: 5 (248 enodes) 205.244 * * [simplify]: Extracting #0: cost 1 inf + 0 205.245 * * [simplify]: Extracting #1: cost 3 inf + 0 205.245 * * [simplify]: Extracting #2: cost 6 inf + 0 205.245 * * [simplify]: Extracting #3: cost 10 inf + 0 205.245 * * [simplify]: Extracting #4: cost 20 inf + 0 205.245 * * [simplify]: Extracting #5: cost 126 inf + 0 205.246 * * [simplify]: Extracting #6: cost 280 inf + 86 205.247 * * [simplify]: Extracting #7: cost 302 inf + 4603 205.251 * * [simplify]: Extracting #8: cost 214 inf + 18203 205.258 * * [simplify]: Extracting #9: cost 129 inf + 46188 205.272 * * [simplify]: Extracting #10: cost 35 inf + 82726 205.309 * * [simplify]: Extracting #11: cost 5 inf + 96140 205.327 * * [simplify]: Extracting #12: cost 2 inf + 100295 205.355 * * [simplify]: Extracting #13: cost 0 inf + 103745 205.391 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 205.392 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 205.393 * * * * [progress]: [ 420 / 4754 ] simplifiying candidate # 205.393 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 205.394 * * [simplify]: iters left: 6 (49 enodes) 205.421 * * [simplify]: iters left: 5 (248 enodes) 205.507 * * [simplify]: Extracting #0: cost 1 inf + 0 205.507 * * [simplify]: Extracting #1: cost 3 inf + 0 205.507 * * [simplify]: Extracting #2: cost 6 inf + 0 205.507 * * [simplify]: Extracting #3: cost 10 inf + 0 205.507 * * [simplify]: Extracting #4: cost 20 inf + 0 205.508 * * [simplify]: Extracting #5: cost 134 inf + 0 205.509 * * [simplify]: Extracting #6: cost 295 inf + 1 205.512 * * [simplify]: Extracting #7: cost 336 inf + 1871 205.518 * * [simplify]: Extracting #8: cost 243 inf + 17278 205.540 * * [simplify]: Extracting #9: cost 142 inf + 47072 205.567 * * [simplify]: Extracting #10: cost 58 inf + 80585 205.604 * * [simplify]: Extracting #11: cost 4 inf + 108281 205.644 * * [simplify]: Extracting #12: cost 0 inf + 113701 205.683 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))) 205.684 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 205.685 * * * * [progress]: [ 421 / 4754 ] simplifiying candidate # 205.685 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 205.686 * * [simplify]: iters left: 6 (49 enodes) 205.702 * * [simplify]: iters left: 5 (248 enodes) 205.783 * * [simplify]: Extracting #0: cost 1 inf + 0 205.783 * * [simplify]: Extracting #1: cost 3 inf + 0 205.783 * * [simplify]: Extracting #2: cost 6 inf + 0 205.783 * * [simplify]: Extracting #3: cost 10 inf + 0 205.784 * * [simplify]: Extracting #4: cost 20 inf + 0 205.784 * * [simplify]: Extracting #5: cost 125 inf + 0 205.789 * * [simplify]: Extracting #6: cost 280 inf + 86 205.791 * * [simplify]: Extracting #7: cost 304 inf + 4397 205.796 * * [simplify]: Extracting #8: cost 206 inf + 19980 205.811 * * [simplify]: Extracting #9: cost 131 inf + 44418 205.839 * * [simplify]: Extracting #10: cost 34 inf + 83056 205.873 * * [simplify]: Extracting #11: cost 5 inf + 96380 205.909 * * [simplify]: Extracting #12: cost 2 inf + 100535 205.949 * * [simplify]: Extracting #13: cost 0 inf + 103985 205.986 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 205.986 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 205.987 * * * * [progress]: [ 422 / 4754 ] simplifiying candidate # 205.988 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 205.988 * * [simplify]: iters left: 6 (46 enodes) 206.012 * * [simplify]: iters left: 5 (235 enodes) 206.084 * * [simplify]: Extracting #0: cost 1 inf + 0 206.085 * * [simplify]: Extracting #1: cost 3 inf + 0 206.085 * * [simplify]: Extracting #2: cost 6 inf + 0 206.085 * * [simplify]: Extracting #3: cost 10 inf + 0 206.085 * * [simplify]: Extracting #4: cost 16 inf + 0 206.085 * * [simplify]: Extracting #5: cost 113 inf + 0 206.086 * * [simplify]: Extracting #6: cost 272 inf + 0 206.088 * * [simplify]: Extracting #7: cost 340 inf + 1223 206.096 * * [simplify]: Extracting #8: cost 231 inf + 30870 206.119 * * [simplify]: Extracting #9: cost 103 inf + 84637 206.157 * * [simplify]: Extracting #10: cost 21 inf + 111883 206.185 * * [simplify]: Extracting #11: cost 3 inf + 120293 206.210 * * [simplify]: Extracting #12: cost 0 inf + 124848 206.234 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) 206.234 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 206.235 * * * * [progress]: [ 423 / 4754 ] simplifiying candidate # 206.235 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 206.235 * * [simplify]: iters left: 6 (46 enodes) 206.248 * * [simplify]: iters left: 5 (233 enodes) 206.323 * * [simplify]: Extracting #0: cost 1 inf + 0 206.323 * * [simplify]: Extracting #1: cost 3 inf + 0 206.324 * * [simplify]: Extracting #2: cost 6 inf + 0 206.324 * * [simplify]: Extracting #3: cost 10 inf + 0 206.324 * * [simplify]: Extracting #4: cost 16 inf + 0 206.324 * * [simplify]: Extracting #5: cost 116 inf + 0 206.324 * * [simplify]: Extracting #6: cost 264 inf + 0 206.325 * * [simplify]: Extracting #7: cost 334 inf + 1015 206.329 * * [simplify]: Extracting #8: cost 245 inf + 29870 206.342 * * [simplify]: Extracting #9: cost 98 inf + 88572 206.379 * * [simplify]: Extracting #10: cost 21 inf + 111209 206.422 * * [simplify]: Extracting #11: cost 3 inf + 119792 206.445 * * [simplify]: Extracting #12: cost 0 inf + 123547 206.486 * * [simplify]: Extracting #13: cost 0 inf + 123267 206.518 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) 206.518 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 206.518 * * * * [progress]: [ 424 / 4754 ] simplifiying candidate # 206.519 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 206.519 * * [simplify]: iters left: 6 (44 enodes) 206.534 * * [simplify]: iters left: 5 (222 enodes) 206.615 * * [simplify]: Extracting #0: cost 1 inf + 0 206.615 * * [simplify]: Extracting #1: cost 3 inf + 0 206.615 * * [simplify]: Extracting #2: cost 6 inf + 0 206.615 * * [simplify]: Extracting #3: cost 10 inf + 0 206.615 * * [simplify]: Extracting #4: cost 16 inf + 0 206.615 * * [simplify]: Extracting #5: cost 110 inf + 0 206.616 * * [simplify]: Extracting #6: cost 252 inf + 0 206.618 * * [simplify]: Extracting #7: cost 307 inf + 578 206.628 * * [simplify]: Extracting #8: cost 228 inf + 28068 206.644 * * [simplify]: Extracting #9: cost 117 inf + 67734 206.660 * * [simplify]: Extracting #10: cost 17 inf + 99425 206.693 * * [simplify]: Extracting #11: cost 3 inf + 109029 206.733 * * [simplify]: Extracting #12: cost 0 inf + 114344 206.768 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 206.768 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 206.769 * * * * [progress]: [ 425 / 4754 ] simplifiying candidate # 206.769 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 206.770 * * [simplify]: iters left: 6 (46 enodes) 206.782 * * [simplify]: iters left: 5 (235 enodes) 206.873 * * [simplify]: Extracting #0: cost 1 inf + 0 206.873 * * [simplify]: Extracting #1: cost 3 inf + 0 206.874 * * [simplify]: Extracting #2: cost 6 inf + 0 206.874 * * [simplify]: Extracting #3: cost 10 inf + 0 206.874 * * [simplify]: Extracting #4: cost 16 inf + 0 206.874 * * [simplify]: Extracting #5: cost 111 inf + 0 206.875 * * [simplify]: Extracting #6: cost 264 inf + 0 206.877 * * [simplify]: Extracting #7: cost 314 inf + 901 206.882 * * [simplify]: Extracting #8: cost 250 inf + 14243 206.891 * * [simplify]: Extracting #9: cost 183 inf + 30355 206.915 * * [simplify]: Extracting #10: cost 56 inf + 74575 206.935 * * [simplify]: Extracting #11: cost 4 inf + 104414 206.960 * * [simplify]: Extracting #12: cost 0 inf + 108834 206.990 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 206.990 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 206.990 * * * * [progress]: [ 426 / 4754 ] simplifiying candidate # 206.991 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 206.991 * * [simplify]: iters left: 6 (46 enodes) 207.003 * * [simplify]: iters left: 5 (235 enodes) 207.074 * * [simplify]: Extracting #0: cost 1 inf + 0 207.074 * * [simplify]: Extracting #1: cost 3 inf + 0 207.074 * * [simplify]: Extracting #2: cost 6 inf + 0 207.075 * * [simplify]: Extracting #3: cost 10 inf + 0 207.075 * * [simplify]: Extracting #4: cost 20 inf + 0 207.075 * * [simplify]: Extracting #5: cost 135 inf + 0 207.077 * * [simplify]: Extracting #6: cost 280 inf + 1 207.084 * * [simplify]: Extracting #7: cost 329 inf + 781 207.087 * * [simplify]: Extracting #8: cost 265 inf + 11911 207.095 * * [simplify]: Extracting #9: cost 133 inf + 51852 207.113 * * [simplify]: Extracting #10: cost 17 inf + 102016 207.141 * * [simplify]: Extracting #11: cost 1 inf + 115410 207.169 * * [simplify]: Extracting #12: cost 0 inf + 117075 207.212 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 207.212 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 207.213 * * * * [progress]: [ 427 / 4754 ] simplifiying candidate # 207.213 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 207.214 * * [simplify]: iters left: 6 (46 enodes) 207.232 * * [simplify]: iters left: 5 (235 enodes) 207.296 * * [simplify]: Extracting #0: cost 1 inf + 0 207.296 * * [simplify]: Extracting #1: cost 3 inf + 0 207.296 * * [simplify]: Extracting #2: cost 6 inf + 0 207.296 * * [simplify]: Extracting #3: cost 10 inf + 0 207.296 * * [simplify]: Extracting #4: cost 20 inf + 0 207.296 * * [simplify]: Extracting #5: cost 127 inf + 0 207.296 * * [simplify]: Extracting #6: cost 266 inf + 44 207.299 * * [simplify]: Extracting #7: cost 309 inf + 2040 207.304 * * [simplify]: Extracting #8: cost 241 inf + 16437 207.315 * * [simplify]: Extracting #9: cost 141 inf + 43006 207.329 * * [simplify]: Extracting #10: cost 31 inf + 84024 207.350 * * [simplify]: Extracting #11: cost 2 inf + 102309 207.387 * * [simplify]: Extracting #12: cost 0 inf + 105679 207.409 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) 207.409 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 207.410 * * * * [progress]: [ 428 / 4754 ] simplifiying candidate # 207.410 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 207.410 * * [simplify]: iters left: 6 (46 enodes) 207.422 * * [simplify]: iters left: 5 (235 enodes) 207.515 * * [simplify]: Extracting #0: cost 1 inf + 0 207.515 * * [simplify]: Extracting #1: cost 3 inf + 0 207.515 * * [simplify]: Extracting #2: cost 6 inf + 0 207.515 * * [simplify]: Extracting #3: cost 10 inf + 0 207.515 * * [simplify]: Extracting #4: cost 20 inf + 0 207.515 * * [simplify]: Extracting #5: cost 135 inf + 0 207.516 * * [simplify]: Extracting #6: cost 280 inf + 1 207.517 * * [simplify]: Extracting #7: cost 330 inf + 699 207.519 * * [simplify]: Extracting #8: cost 264 inf + 11831 207.527 * * [simplify]: Extracting #9: cost 123 inf + 54741 207.547 * * [simplify]: Extracting #10: cost 14 inf + 103948 207.587 * * [simplify]: Extracting #11: cost 1 inf + 116050 207.616 * * [simplify]: Extracting #12: cost 0 inf + 117715 207.648 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))))) 207.648 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 207.649 * * * * [progress]: [ 429 / 4754 ] simplifiying candidate # 207.650 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 207.650 * * [simplify]: iters left: 6 (46 enodes) 207.666 * * [simplify]: iters left: 5 (235 enodes) 207.735 * * [simplify]: Extracting #0: cost 1 inf + 0 207.735 * * [simplify]: Extracting #1: cost 3 inf + 0 207.735 * * [simplify]: Extracting #2: cost 6 inf + 0 207.735 * * [simplify]: Extracting #3: cost 10 inf + 0 207.735 * * [simplify]: Extracting #4: cost 20 inf + 0 207.735 * * [simplify]: Extracting #5: cost 126 inf + 0 207.736 * * [simplify]: Extracting #6: cost 266 inf + 44 207.737 * * [simplify]: Extracting #7: cost 313 inf + 1472 207.740 * * [simplify]: Extracting #8: cost 242 inf + 16194 207.746 * * [simplify]: Extracting #9: cost 137 inf + 43476 207.768 * * [simplify]: Extracting #10: cost 27 inf + 85745 207.786 * * [simplify]: Extracting #11: cost 2 inf + 102549 207.818 * * [simplify]: Extracting #12: cost 0 inf + 105919 207.851 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) 207.851 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 207.852 * * * * [progress]: [ 430 / 4754 ] simplifiying candidate # 207.852 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 207.852 * * [simplify]: iters left: 6 (49 enodes) 207.865 * * [simplify]: iters left: 5 (248 enodes) 207.962 * * [simplify]: Extracting #0: cost 1 inf + 0 207.962 * * [simplify]: Extracting #1: cost 3 inf + 0 207.962 * * [simplify]: Extracting #2: cost 6 inf + 0 207.962 * * [simplify]: Extracting #3: cost 10 inf + 0 207.963 * * [simplify]: Extracting #4: cost 16 inf + 0 207.963 * * [simplify]: Extracting #5: cost 112 inf + 0 207.964 * * [simplify]: Extracting #6: cost 291 inf + 0 207.967 * * [simplify]: Extracting #7: cost 347 inf + 1394 207.980 * * [simplify]: Extracting #8: cost 174 inf + 45029 208.012 * * [simplify]: Extracting #9: cost 43 inf + 93136 208.051 * * [simplify]: Extracting #10: cost 10 inf + 108652 208.086 * * [simplify]: Extracting #11: cost 3 inf + 115439 208.108 * * [simplify]: Extracting #12: cost 0 inf + 120194 208.137 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 208.137 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 208.138 * * * * [progress]: [ 431 / 4754 ] simplifiying candidate # 208.138 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 208.138 * * [simplify]: iters left: 6 (49 enodes) 208.152 * * [simplify]: iters left: 5 (246 enodes) 208.240 * * [simplify]: Extracting #0: cost 1 inf + 0 208.240 * * [simplify]: Extracting #1: cost 3 inf + 0 208.240 * * [simplify]: Extracting #2: cost 6 inf + 0 208.240 * * [simplify]: Extracting #3: cost 10 inf + 0 208.240 * * [simplify]: Extracting #4: cost 16 inf + 0 208.240 * * [simplify]: Extracting #5: cost 121 inf + 0 208.241 * * [simplify]: Extracting #6: cost 291 inf + 0 208.244 * * [simplify]: Extracting #7: cost 344 inf + 1196 208.249 * * [simplify]: Extracting #8: cost 254 inf + 15230 208.267 * * [simplify]: Extracting #9: cost 128 inf + 59822 208.296 * * [simplify]: Extracting #10: cost 10 inf + 114624 208.326 * * [simplify]: Extracting #11: cost 0 inf + 121742 208.350 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 208.350 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 208.351 * * * * [progress]: [ 432 / 4754 ] simplifiying candidate # 208.351 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 208.352 * * [simplify]: iters left: 6 (47 enodes) 208.379 * * [simplify]: iters left: 5 (236 enodes) 208.474 * * [simplify]: Extracting #0: cost 1 inf + 0 208.474 * * [simplify]: Extracting #1: cost 3 inf + 0 208.474 * * [simplify]: Extracting #2: cost 6 inf + 0 208.474 * * [simplify]: Extracting #3: cost 10 inf + 0 208.475 * * [simplify]: Extracting #4: cost 16 inf + 0 208.475 * * [simplify]: Extracting #5: cost 113 inf + 0 208.475 * * [simplify]: Extracting #6: cost 277 inf + 0 208.476 * * [simplify]: Extracting #7: cost 312 inf + 2006 208.481 * * [simplify]: Extracting #8: cost 192 inf + 28889 208.495 * * [simplify]: Extracting #9: cost 46 inf + 84476 208.526 * * [simplify]: Extracting #10: cost 4 inf + 107071 208.561 * * [simplify]: Extracting #11: cost 0 inf + 110756 208.582 * * [simplify]: Extracting #12: cost 0 inf + 110676 208.610 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 208.610 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 208.611 * * * * [progress]: [ 433 / 4754 ] simplifiying candidate # 208.611 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 208.612 * * [simplify]: iters left: 6 (49 enodes) 208.627 * * [simplify]: iters left: 5 (248 enodes) 208.700 * * [simplify]: Extracting #0: cost 1 inf + 0 208.700 * * [simplify]: Extracting #1: cost 3 inf + 0 208.700 * * [simplify]: Extracting #2: cost 6 inf + 0 208.700 * * [simplify]: Extracting #3: cost 10 inf + 0 208.700 * * [simplify]: Extracting #4: cost 16 inf + 0 208.700 * * [simplify]: Extracting #5: cost 110 inf + 0 208.702 * * [simplify]: Extracting #6: cost 283 inf + 0 208.704 * * [simplify]: Extracting #7: cost 311 inf + 2496 208.717 * * [simplify]: Extracting #8: cost 195 inf + 26791 208.739 * * [simplify]: Extracting #9: cost 55 inf + 77244 208.759 * * [simplify]: Extracting #10: cost 11 inf + 98223 208.784 * * [simplify]: Extracting #11: cost 0 inf + 104180 208.822 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) 208.822 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 208.823 * * * * [progress]: [ 434 / 4754 ] simplifiying candidate # 208.823 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 208.824 * * [simplify]: iters left: 6 (49 enodes) 208.843 * * [simplify]: iters left: 5 (248 enodes) 208.934 * * [simplify]: Extracting #0: cost 1 inf + 0 208.934 * * [simplify]: Extracting #1: cost 3 inf + 0 208.934 * * [simplify]: Extracting #2: cost 6 inf + 0 208.934 * * [simplify]: Extracting #3: cost 10 inf + 0 208.934 * * [simplify]: Extracting #4: cost 20 inf + 0 208.935 * * [simplify]: Extracting #5: cost 134 inf + 0 208.935 * * [simplify]: Extracting #6: cost 299 inf + 1 208.937 * * [simplify]: Extracting #7: cost 328 inf + 2048 208.941 * * [simplify]: Extracting #8: cost 233 inf + 17696 208.952 * * [simplify]: Extracting #9: cost 138 inf + 49653 208.966 * * [simplify]: Extracting #10: cost 61 inf + 79470 208.985 * * [simplify]: Extracting #11: cost 9 inf + 105796 209.006 * * [simplify]: Extracting #12: cost 0 inf + 113861 209.041 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))) 209.041 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 209.042 * * * * [progress]: [ 435 / 4754 ] simplifiying candidate # 209.042 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 209.043 * * [simplify]: iters left: 6 (49 enodes) 209.070 * * [simplify]: iters left: 5 (248 enodes) 209.141 * * [simplify]: Extracting #0: cost 1 inf + 0 209.141 * * [simplify]: Extracting #1: cost 3 inf + 0 209.141 * * [simplify]: Extracting #2: cost 6 inf + 0 209.141 * * [simplify]: Extracting #3: cost 10 inf + 0 209.141 * * [simplify]: Extracting #4: cost 20 inf + 0 209.142 * * [simplify]: Extracting #5: cost 126 inf + 0 209.143 * * [simplify]: Extracting #6: cost 284 inf + 86 209.150 * * [simplify]: Extracting #7: cost 300 inf + 4489 209.157 * * [simplify]: Extracting #8: cost 208 inf + 19335 209.172 * * [simplify]: Extracting #9: cost 124 inf + 47167 209.199 * * [simplify]: Extracting #10: cost 41 inf + 78336 209.226 * * [simplify]: Extracting #11: cost 6 inf + 94355 209.244 * * [simplify]: Extracting #12: cost 2 inf + 99615 209.276 * * [simplify]: Extracting #13: cost 0 inf + 102945 209.315 * * [simplify]: Extracting #14: cost 0 inf + 102865 209.342 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 209.342 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 209.343 * * * * [progress]: [ 436 / 4754 ] simplifiying candidate # 209.343 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 209.344 * * [simplify]: iters left: 6 (49 enodes) 209.357 * * [simplify]: iters left: 5 (248 enodes) 209.429 * * [simplify]: Extracting #0: cost 1 inf + 0 209.429 * * [simplify]: Extracting #1: cost 3 inf + 0 209.429 * * [simplify]: Extracting #2: cost 6 inf + 0 209.429 * * [simplify]: Extracting #3: cost 10 inf + 0 209.430 * * [simplify]: Extracting #4: cost 20 inf + 0 209.430 * * [simplify]: Extracting #5: cost 134 inf + 0 209.430 * * [simplify]: Extracting #6: cost 299 inf + 1 209.432 * * [simplify]: Extracting #7: cost 329 inf + 1964 209.438 * * [simplify]: Extracting #8: cost 233 inf + 18016 209.454 * * [simplify]: Extracting #9: cost 138 inf + 50293 209.480 * * [simplify]: Extracting #10: cost 61 inf + 80110 209.520 * * [simplify]: Extracting #11: cost 9 inf + 106436 209.560 * * [simplify]: Extracting #12: cost 0 inf + 114501 209.583 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))) 209.583 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 209.584 * * * * [progress]: [ 437 / 4754 ] simplifiying candidate # 209.584 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 209.585 * * [simplify]: iters left: 6 (49 enodes) 209.599 * * [simplify]: iters left: 5 (248 enodes) 209.712 * * [simplify]: Extracting #0: cost 1 inf + 0 209.712 * * [simplify]: Extracting #1: cost 3 inf + 0 209.712 * * [simplify]: Extracting #2: cost 6 inf + 0 209.712 * * [simplify]: Extracting #3: cost 10 inf + 0 209.712 * * [simplify]: Extracting #4: cost 20 inf + 0 209.712 * * [simplify]: Extracting #5: cost 125 inf + 0 209.714 * * [simplify]: Extracting #6: cost 284 inf + 86 209.717 * * [simplify]: Extracting #7: cost 301 inf + 4326 209.723 * * [simplify]: Extracting #8: cost 207 inf + 19739 209.731 * * [simplify]: Extracting #9: cost 125 inf + 46883 209.745 * * [simplify]: Extracting #10: cost 40 inf + 79201 209.766 * * [simplify]: Extracting #11: cost 6 inf + 94595 209.787 * * [simplify]: Extracting #12: cost 2 inf + 99855 209.822 * * [simplify]: Extracting #13: cost 0 inf + 103185 209.846 * * [simplify]: Extracting #14: cost 0 inf + 103105 209.869 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) 209.870 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 209.871 * * * * [progress]: [ 438 / 4754 ] simplifiying candidate # 209.871 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 209.872 * * [simplify]: iters left: 6 (46 enodes) 209.897 * * [simplify]: iters left: 5 (237 enodes) 209.986 * * [simplify]: Extracting #0: cost 1 inf + 0 209.986 * * [simplify]: Extracting #1: cost 3 inf + 0 209.986 * * [simplify]: Extracting #2: cost 6 inf + 0 209.986 * * [simplify]: Extracting #3: cost 10 inf + 0 209.986 * * [simplify]: Extracting #4: cost 16 inf + 0 209.987 * * [simplify]: Extracting #5: cost 104 inf + 0 209.988 * * [simplify]: Extracting #6: cost 266 inf + 2 209.990 * * [simplify]: Extracting #7: cost 301 inf + 3858 209.997 * * [simplify]: Extracting #8: cost 192 inf + 26157 210.020 * * [simplify]: Extracting #9: cost 47 inf + 73148 210.050 * * [simplify]: Extracting #10: cost 8 inf + 88201 210.084 * * [simplify]: Extracting #11: cost 1 inf + 95216 210.118 * * [simplify]: Extracting #12: cost 0 inf + 96961 210.155 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 210.155 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 210.156 * * * * [progress]: [ 439 / 4754 ] simplifiying candidate # 210.157 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 210.157 * * [simplify]: iters left: 6 (46 enodes) 210.182 * * [simplify]: iters left: 5 (235 enodes) 210.256 * * [simplify]: Extracting #0: cost 1 inf + 0 210.256 * * [simplify]: Extracting #1: cost 3 inf + 0 210.257 * * [simplify]: Extracting #2: cost 6 inf + 0 210.257 * * [simplify]: Extracting #3: cost 10 inf + 0 210.257 * * [simplify]: Extracting #4: cost 19 inf + 0 210.257 * * [simplify]: Extracting #5: cost 111 inf + 0 210.257 * * [simplify]: Extracting #6: cost 267 inf + 0 210.259 * * [simplify]: Extracting #7: cost 291 inf + 3601 210.265 * * [simplify]: Extracting #8: cost 167 inf + 29738 210.290 * * [simplify]: Extracting #9: cost 43 inf + 74208 210.310 * * [simplify]: Extracting #10: cost 2 inf + 92929 210.327 * * [simplify]: Extracting #11: cost 0 inf + 94566 210.344 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (- (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))) 210.345 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (- (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 210.345 * * * * [progress]: [ 440 / 4754 ] simplifiying candidate # 210.346 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 210.346 * * [simplify]: iters left: 6 (43 enodes) 210.365 * * [simplify]: iters left: 5 (226 enodes) 210.441 * * [simplify]: Extracting #0: cost 1 inf + 0 210.441 * * [simplify]: Extracting #1: cost 3 inf + 0 210.441 * * [simplify]: Extracting #2: cost 6 inf + 0 210.441 * * [simplify]: Extracting #3: cost 10 inf + 0 210.441 * * [simplify]: Extracting #4: cost 16 inf + 0 210.442 * * [simplify]: Extracting #5: cost 112 inf + 0 210.442 * * [simplify]: Extracting #6: cost 265 inf + 0 210.443 * * [simplify]: Extracting #7: cost 333 inf + 84 210.445 * * [simplify]: Extracting #8: cost 263 inf + 15288 210.457 * * [simplify]: Extracting #9: cost 120 inf + 57705 210.496 * * [simplify]: Extracting #10: cost 12 inf + 109084 210.525 * * [simplify]: Extracting #11: cost 0 inf + 116209 210.555 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 210.555 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 210.556 * * * * [progress]: [ 441 / 4754 ] simplifiying candidate # 210.557 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 210.558 * * [simplify]: iters left: 6 (43 enodes) 210.578 * * [simplify]: iters left: 5 (224 enodes) 210.667 * * [simplify]: Extracting #0: cost 1 inf + 0 210.667 * * [simplify]: Extracting #1: cost 3 inf + 0 210.667 * * [simplify]: Extracting #2: cost 6 inf + 0 210.667 * * [simplify]: Extracting #3: cost 10 inf + 0 210.667 * * [simplify]: Extracting #4: cost 16 inf + 0 210.668 * * [simplify]: Extracting #5: cost 103 inf + 0 210.669 * * [simplify]: Extracting #6: cost 255 inf + 0 210.671 * * [simplify]: Extracting #7: cost 312 inf + 496 210.675 * * [simplify]: Extracting #8: cost 248 inf + 11839 210.689 * * [simplify]: Extracting #9: cost 119 inf + 50515 210.710 * * [simplify]: Extracting #10: cost 10 inf + 103381 210.745 * * [simplify]: Extracting #11: cost 0 inf + 107913 210.767 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 210.767 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 210.768 * * * * [progress]: [ 442 / 4754 ] simplifiying candidate # 210.769 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 210.769 * * [simplify]: iters left: 6 (43 enodes) 210.781 * * [simplify]: iters left: 5 (222 enodes) 210.888 * * [simplify]: Extracting #0: cost 1 inf + 0 210.888 * * [simplify]: Extracting #1: cost 3 inf + 0 210.888 * * [simplify]: Extracting #2: cost 6 inf + 0 210.888 * * [simplify]: Extracting #3: cost 10 inf + 0 210.888 * * [simplify]: Extracting #4: cost 16 inf + 0 210.888 * * [simplify]: Extracting #5: cost 108 inf + 0 210.889 * * [simplify]: Extracting #6: cost 245 inf + 0 210.891 * * [simplify]: Extracting #7: cost 293 inf + 941 210.897 * * [simplify]: Extracting #8: cost 216 inf + 18368 210.912 * * [simplify]: Extracting #9: cost 108 inf + 45800 210.943 * * [simplify]: Extracting #10: cost 9 inf + 90379 210.973 * * [simplify]: Extracting #11: cost 4 inf + 95504 210.993 * * [simplify]: Extracting #12: cost 1 inf + 99659 211.012 * * [simplify]: Extracting #13: cost 0 inf + 101164 211.031 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 211.031 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 211.032 * * * * [progress]: [ 443 / 4754 ] simplifiying candidate # 211.032 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 211.032 * * [simplify]: iters left: 6 (31 enodes) 211.040 * * [simplify]: iters left: 5 (153 enodes) 211.094 * * [simplify]: iters left: 4 (483 enodes) 211.969 * * [simplify]: Extracting #0: cost 1 inf + 0 211.969 * * [simplify]: Extracting #1: cost 4 inf + 0 211.969 * * [simplify]: Extracting #2: cost 7 inf + 0 211.969 * * [simplify]: Extracting #3: cost 24 inf + 0 211.969 * * [simplify]: Extracting #4: cost 268 inf + 0 211.972 * * [simplify]: Extracting #5: cost 717 inf + 456 211.981 * * [simplify]: Extracting #6: cost 704 inf + 30327 212.017 * * [simplify]: Extracting #7: cost 462 inf + 97672 212.049 * * [simplify]: Extracting #8: cost 288 inf + 152348 212.112 * * [simplify]: Extracting #9: cost 63 inf + 249269 212.206 * * [simplify]: Extracting #10: cost 1 inf + 281198 212.316 * * [simplify]: Extracting #11: cost 0 inf + 281903 212.420 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)))))) 212.420 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 212.421 * * * * [progress]: [ 444 / 4754 ] simplifiying candidate # 212.422 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 212.422 * * [simplify]: iters left: 6 (43 enodes) 212.444 * * [simplify]: iters left: 5 (222 enodes) 212.520 * * [simplify]: Extracting #0: cost 1 inf + 0 212.520 * * [simplify]: Extracting #1: cost 3 inf + 0 212.520 * * [simplify]: Extracting #2: cost 6 inf + 0 212.521 * * [simplify]: Extracting #3: cost 10 inf + 0 212.521 * * [simplify]: Extracting #4: cost 20 inf + 0 212.521 * * [simplify]: Extracting #5: cost 128 inf + 0 212.522 * * [simplify]: Extracting #6: cost 246 inf + 85 212.524 * * [simplify]: Extracting #7: cost 280 inf + 1474 212.530 * * [simplify]: Extracting #8: cost 206 inf + 30515 212.547 * * [simplify]: Extracting #9: cost 103 inf + 68579 212.578 * * [simplify]: Extracting #10: cost 24 inf + 85620 212.619 * * [simplify]: Extracting #11: cost 2 inf + 97601 212.657 * * [simplify]: Extracting #12: cost 0 inf + 100771 212.677 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 212.677 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 212.677 * * * * [progress]: [ 445 / 4754 ] simplifiying candidate # 212.678 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 212.678 * * [simplify]: iters left: 6 (37 enodes) 212.695 * * [simplify]: iters left: 5 (186 enodes) 212.766 * * [simplify]: Extracting #0: cost 1 inf + 0 212.766 * * [simplify]: Extracting #1: cost 3 inf + 0 212.766 * * [simplify]: Extracting #2: cost 6 inf + 0 212.766 * * [simplify]: Extracting #3: cost 10 inf + 0 212.766 * * [simplify]: Extracting #4: cost 20 inf + 0 212.766 * * [simplify]: Extracting #5: cost 112 inf + 0 212.767 * * [simplify]: Extracting #6: cost 208 inf + 44 212.767 * * [simplify]: Extracting #7: cost 244 inf + 703 212.770 * * [simplify]: Extracting #8: cost 168 inf + 28391 212.777 * * [simplify]: Extracting #9: cost 98 inf + 50429 212.788 * * [simplify]: Extracting #10: cost 21 inf + 64430 212.814 * * [simplify]: Extracting #11: cost 1 inf + 78659 212.835 * * [simplify]: Extracting #12: cost 0 inf + 79844 212.856 * * [simplify]: Extracting #13: cost 0 inf + 79804 212.887 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 212.887 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 212.888 * * * * [progress]: [ 446 / 4754 ] simplifiying candidate # 212.889 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 212.889 * * [simplify]: iters left: 6 (43 enodes) 212.903 * * [simplify]: iters left: 5 (222 enodes) 212.964 * * [simplify]: Extracting #0: cost 1 inf + 0 212.964 * * [simplify]: Extracting #1: cost 3 inf + 0 212.964 * * [simplify]: Extracting #2: cost 6 inf + 0 212.964 * * [simplify]: Extracting #3: cost 10 inf + 0 212.964 * * [simplify]: Extracting #4: cost 20 inf + 0 212.964 * * [simplify]: Extracting #5: cost 128 inf + 0 212.965 * * [simplify]: Extracting #6: cost 246 inf + 85 212.966 * * [simplify]: Extracting #7: cost 283 inf + 1149 212.969 * * [simplify]: Extracting #8: cost 208 inf + 29184 212.978 * * [simplify]: Extracting #9: cost 99 inf + 70383 212.994 * * [simplify]: Extracting #10: cost 26 inf + 84671 213.020 * * [simplify]: Extracting #11: cost 2 inf + 98241 213.060 * * [simplify]: Extracting #12: cost 0 inf + 101411 213.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) 213.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 213.081 * * * * [progress]: [ 447 / 4754 ] simplifiying candidate # 213.081 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 213.081 * * [simplify]: iters left: 6 (37 enodes) 213.091 * * [simplify]: iters left: 5 (185 enodes) 213.136 * * [simplify]: Extracting #0: cost 1 inf + 0 213.136 * * [simplify]: Extracting #1: cost 3 inf + 0 213.136 * * [simplify]: Extracting #2: cost 6 inf + 0 213.136 * * [simplify]: Extracting #3: cost 10 inf + 0 213.136 * * [simplify]: Extracting #4: cost 20 inf + 0 213.136 * * [simplify]: Extracting #5: cost 112 inf + 0 213.137 * * [simplify]: Extracting #6: cost 203 inf + 44 213.137 * * [simplify]: Extracting #7: cost 238 inf + 865 213.139 * * [simplify]: Extracting #8: cost 177 inf + 15169 213.146 * * [simplify]: Extracting #9: cost 80 inf + 41661 213.159 * * [simplify]: Extracting #10: cost 10 inf + 69742 213.174 * * [simplify]: Extracting #11: cost 0 inf + 77588 213.201 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 213.201 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 213.202 * * * * [progress]: [ 448 / 4754 ] simplifiying candidate # 213.203 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 213.203 * * [simplify]: iters left: 6 (48 enodes) 213.229 * * [simplify]: iters left: 5 (254 enodes) 213.306 * * [simplify]: Extracting #0: cost 1 inf + 0 213.306 * * [simplify]: Extracting #1: cost 3 inf + 0 213.306 * * [simplify]: Extracting #2: cost 6 inf + 0 213.306 * * [simplify]: Extracting #3: cost 10 inf + 0 213.306 * * [simplify]: Extracting #4: cost 16 inf + 0 213.307 * * [simplify]: Extracting #5: cost 114 inf + 0 213.308 * * [simplify]: Extracting #6: cost 292 inf + 0 213.311 * * [simplify]: Extracting #7: cost 353 inf + 1477 213.324 * * [simplify]: Extracting #8: cost 185 inf + 44874 213.367 * * [simplify]: Extracting #9: cost 36 inf + 108884 213.410 * * [simplify]: Extracting #10: cost 1 inf + 128146 213.453 * * [simplify]: Extracting #11: cost 0 inf + 127558 213.477 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 213.477 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 213.478 * * * * [progress]: [ 449 / 4754 ] simplifiying candidate # 213.478 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 213.479 * * [simplify]: iters left: 6 (48 enodes) 213.503 * * [simplify]: iters left: 5 (256 enodes) 213.613 * * [simplify]: Extracting #0: cost 1 inf + 0 213.613 * * [simplify]: Extracting #1: cost 3 inf + 0 213.613 * * [simplify]: Extracting #2: cost 6 inf + 0 213.613 * * [simplify]: Extracting #3: cost 10 inf + 0 213.613 * * [simplify]: Extracting #4: cost 16 inf + 0 213.614 * * [simplify]: Extracting #5: cost 115 inf + 0 213.615 * * [simplify]: Extracting #6: cost 305 inf + 0 213.618 * * [simplify]: Extracting #7: cost 364 inf + 1072 213.629 * * [simplify]: Extracting #8: cost 205 inf + 37346 213.663 * * [simplify]: Extracting #9: cost 52 inf + 96957 213.706 * * [simplify]: Extracting #10: cost 4 inf + 128114 213.742 * * [simplify]: Extracting #11: cost 0 inf + 128642 213.775 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 213.775 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 213.775 * * * * [progress]: [ 450 / 4754 ] simplifiying candidate # 213.776 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 213.776 * * [simplify]: iters left: 6 (48 enodes) 213.792 * * [simplify]: iters left: 5 (256 enodes) 213.889 * * [simplify]: Extracting #0: cost 1 inf + 0 213.889 * * [simplify]: Extracting #1: cost 3 inf + 0 213.889 * * [simplify]: Extracting #2: cost 6 inf + 0 213.889 * * [simplify]: Extracting #3: cost 10 inf + 0 213.889 * * [simplify]: Extracting #4: cost 16 inf + 0 213.890 * * [simplify]: Extracting #5: cost 118 inf + 0 213.891 * * [simplify]: Extracting #6: cost 302 inf + 0 213.894 * * [simplify]: Extracting #7: cost 352 inf + 1438 213.902 * * [simplify]: Extracting #8: cost 218 inf + 27052 213.928 * * [simplify]: Extracting #9: cost 78 inf + 83064 213.968 * * [simplify]: Extracting #10: cost 6 inf + 124346 214.012 * * [simplify]: Extracting #11: cost 0 inf + 125178 214.036 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 214.036 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 214.037 * * * * [progress]: [ 451 / 4754 ] simplifiying candidate # 214.037 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 214.038 * * [simplify]: iters left: 6 (40 enodes) 214.049 * * [simplify]: iters left: 5 (208 enodes) 214.155 * * [simplify]: Extracting #0: cost 1 inf + 0 214.156 * * [simplify]: Extracting #1: cost 3 inf + 0 214.156 * * [simplify]: Extracting #2: cost 6 inf + 0 214.156 * * [simplify]: Extracting #3: cost 10 inf + 0 214.156 * * [simplify]: Extracting #4: cost 16 inf + 0 214.156 * * [simplify]: Extracting #5: cost 101 inf + 0 214.157 * * [simplify]: Extracting #6: cost 251 inf + 0 214.159 * * [simplify]: Extracting #7: cost 293 inf + 541 214.166 * * [simplify]: Extracting #8: cost 197 inf + 20070 214.191 * * [simplify]: Extracting #9: cost 50 inf + 73352 214.217 * * [simplify]: Extracting #10: cost 11 inf + 88296 214.236 * * [simplify]: Extracting #11: cost 1 inf + 96547 214.278 * * [simplify]: Extracting #12: cost 0 inf + 98012 214.299 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 214.299 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 214.299 * * * * [progress]: [ 452 / 4754 ] simplifiying candidate # 214.300 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 214.300 * * [simplify]: iters left: 6 (48 enodes) 214.313 * * [simplify]: iters left: 5 (254 enodes) 214.409 * * [simplify]: Extracting #0: cost 1 inf + 0 214.409 * * [simplify]: Extracting #1: cost 3 inf + 0 214.409 * * [simplify]: Extracting #2: cost 6 inf + 0 214.410 * * [simplify]: Extracting #3: cost 10 inf + 0 214.410 * * [simplify]: Extracting #4: cost 20 inf + 0 214.410 * * [simplify]: Extracting #5: cost 138 inf + 0 214.411 * * [simplify]: Extracting #6: cost 295 inf + 85 214.414 * * [simplify]: Extracting #7: cost 330 inf + 2093 214.422 * * [simplify]: Extracting #8: cost 218 inf + 23680 214.442 * * [simplify]: Extracting #9: cost 114 inf + 61751 214.481 * * [simplify]: Extracting #10: cost 17 inf + 108557 214.513 * * [simplify]: Extracting #11: cost 0 inf + 118423 214.535 * * [simplify]: Extracting #12: cost 0 inf + 118263 214.557 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 214.557 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 214.558 * * * * [progress]: [ 453 / 4754 ] simplifiying candidate # 214.558 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 214.558 * * [simplify]: iters left: 6 (42 enodes) 214.570 * * [simplify]: iters left: 5 (220 enodes) 214.637 * * [simplify]: Extracting #0: cost 1 inf + 0 214.637 * * [simplify]: Extracting #1: cost 3 inf + 0 214.637 * * [simplify]: Extracting #2: cost 6 inf + 0 214.637 * * [simplify]: Extracting #3: cost 10 inf + 0 214.637 * * [simplify]: Extracting #4: cost 20 inf + 0 214.638 * * [simplify]: Extracting #5: cost 123 inf + 0 214.638 * * [simplify]: Extracting #6: cost 263 inf + 44 214.639 * * [simplify]: Extracting #7: cost 303 inf + 1033 214.642 * * [simplify]: Extracting #8: cost 221 inf + 14088 214.651 * * [simplify]: Extracting #9: cost 102 inf + 51922 214.668 * * [simplify]: Extracting #10: cost 18 inf + 85846 214.705 * * [simplify]: Extracting #11: cost 3 inf + 94606 214.743 * * [simplify]: Extracting #12: cost 0 inf + 98441 214.781 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))))) 214.781 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (+ (* lambda2 lambda2) (* lambda1 lambda1)) (* lambda2 lambda1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 214.782 * * * * [progress]: [ 454 / 4754 ] simplifiying candidate # 214.783 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 214.783 * * [simplify]: iters left: 6 (48 enodes) 214.810 * * [simplify]: iters left: 5 (254 enodes) 214.935 * * [simplify]: Extracting #0: cost 1 inf + 0 214.936 * * [simplify]: Extracting #1: cost 3 inf + 0 214.936 * * [simplify]: Extracting #2: cost 6 inf + 0 214.936 * * [simplify]: Extracting #3: cost 10 inf + 0 214.936 * * [simplify]: Extracting #4: cost 20 inf + 0 214.936 * * [simplify]: Extracting #5: cost 138 inf + 0 214.937 * * [simplify]: Extracting #6: cost 295 inf + 85 214.938 * * [simplify]: Extracting #7: cost 332 inf + 1807 214.943 * * [simplify]: Extracting #8: cost 219 inf + 23355 214.953 * * [simplify]: Extracting #9: cost 111 inf + 63685 214.989 * * [simplify]: Extracting #10: cost 18 inf + 108665 215.018 * * [simplify]: Extracting #11: cost 0 inf + 119143 215.047 * * [simplify]: Extracting #12: cost 0 inf + 119063 215.093 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 215.093 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 215.095 * * * * [progress]: [ 455 / 4754 ] simplifiying candidate # 215.095 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 215.096 * * [simplify]: iters left: 6 (42 enodes) 215.119 * * [simplify]: iters left: 5 (220 enodes) 215.191 * * [simplify]: Extracting #0: cost 1 inf + 0 215.191 * * [simplify]: Extracting #1: cost 3 inf + 0 215.191 * * [simplify]: Extracting #2: cost 6 inf + 0 215.191 * * [simplify]: Extracting #3: cost 10 inf + 0 215.191 * * [simplify]: Extracting #4: cost 20 inf + 0 215.191 * * [simplify]: Extracting #5: cost 122 inf + 0 215.192 * * [simplify]: Extracting #6: cost 262 inf + 44 215.193 * * [simplify]: Extracting #7: cost 303 inf + 1031 215.198 * * [simplify]: Extracting #8: cost 182 inf + 28268 215.223 * * [simplify]: Extracting #9: cost 50 inf + 70830 215.251 * * [simplify]: Extracting #10: cost 9 inf + 88614 215.269 * * [simplify]: Extracting #11: cost 3 inf + 94082 215.304 * * [simplify]: Extracting #12: cost 0 inf + 97517 215.326 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 215.326 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 215.327 * * * * [progress]: [ 456 / 4754 ] simplifiying candidate # 215.327 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 215.328 * * [simplify]: iters left: 6 (48 enodes) 215.349 * * [simplify]: iters left: 5 (253 enodes) 215.473 * * [simplify]: Extracting #0: cost 1 inf + 0 215.473 * * [simplify]: Extracting #1: cost 3 inf + 0 215.473 * * [simplify]: Extracting #2: cost 6 inf + 0 215.473 * * [simplify]: Extracting #3: cost 10 inf + 0 215.473 * * [simplify]: Extracting #4: cost 16 inf + 0 215.474 * * [simplify]: Extracting #5: cost 114 inf + 0 215.475 * * [simplify]: Extracting #6: cost 294 inf + 0 215.478 * * [simplify]: Extracting #7: cost 351 inf + 1313 215.485 * * [simplify]: Extracting #8: cost 183 inf + 43274 215.504 * * [simplify]: Extracting #9: cost 37 inf + 106228 215.539 * * [simplify]: Extracting #10: cost 10 inf + 117672 215.584 * * [simplify]: Extracting #11: cost 2 inf + 124060 215.632 * * [simplify]: Extracting #12: cost 0 inf + 127510 215.662 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 215.662 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 215.663 * * * * [progress]: [ 457 / 4754 ] simplifiying candidate # 215.664 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 215.664 * * [simplify]: iters left: 6 (48 enodes) 215.681 * * [simplify]: iters left: 5 (255 enodes) 215.803 * * [simplify]: Extracting #0: cost 1 inf + 0 215.803 * * [simplify]: Extracting #1: cost 3 inf + 0 215.803 * * [simplify]: Extracting #2: cost 6 inf + 0 215.803 * * [simplify]: Extracting #3: cost 10 inf + 0 215.803 * * [simplify]: Extracting #4: cost 16 inf + 0 215.803 * * [simplify]: Extracting #5: cost 115 inf + 0 215.804 * * [simplify]: Extracting #6: cost 305 inf + 0 215.805 * * [simplify]: Extracting #7: cost 362 inf + 785 215.809 * * [simplify]: Extracting #8: cost 239 inf + 23310 215.823 * * [simplify]: Extracting #9: cost 69 inf + 86424 215.867 * * [simplify]: Extracting #10: cost 4 inf + 121158 215.913 * * [simplify]: Extracting #11: cost 1 inf + 124740 215.961 * * [simplify]: Extracting #12: cost 0 inf + 126525 216.010 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 216.011 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 216.012 * * * * [progress]: [ 458 / 4754 ] simplifiying candidate # 216.012 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 216.013 * * [simplify]: iters left: 6 (48 enodes) 216.042 * * [simplify]: iters left: 5 (255 enodes) 216.129 * * [simplify]: Extracting #0: cost 1 inf + 0 216.129 * * [simplify]: Extracting #1: cost 3 inf + 0 216.129 * * [simplify]: Extracting #2: cost 6 inf + 0 216.130 * * [simplify]: Extracting #3: cost 10 inf + 0 216.130 * * [simplify]: Extracting #4: cost 16 inf + 0 216.130 * * [simplify]: Extracting #5: cost 118 inf + 0 216.130 * * [simplify]: Extracting #6: cost 303 inf + 0 216.135 * * [simplify]: Extracting #7: cost 349 inf + 2198 216.143 * * [simplify]: Extracting #8: cost 201 inf + 32236 216.167 * * [simplify]: Extracting #9: cost 60 inf + 91128 216.190 * * [simplify]: Extracting #10: cost 4 inf + 119391 216.222 * * [simplify]: Extracting #11: cost 0 inf + 123185 216.255 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 216.255 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 216.256 * * * * [progress]: [ 459 / 4754 ] simplifiying candidate # 216.256 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 216.257 * * [simplify]: iters left: 6 (40 enodes) 216.279 * * [simplify]: iters left: 5 (205 enodes) 216.347 * * [simplify]: Extracting #0: cost 1 inf + 0 216.348 * * [simplify]: Extracting #1: cost 3 inf + 0 216.348 * * [simplify]: Extracting #2: cost 6 inf + 0 216.348 * * [simplify]: Extracting #3: cost 10 inf + 0 216.348 * * [simplify]: Extracting #4: cost 16 inf + 0 216.348 * * [simplify]: Extracting #5: cost 102 inf + 0 216.349 * * [simplify]: Extracting #6: cost 246 inf + 0 216.351 * * [simplify]: Extracting #7: cost 278 inf + 1193 216.361 * * [simplify]: Extracting #8: cost 169 inf + 20684 216.377 * * [simplify]: Extracting #9: cost 96 inf + 46804 216.406 * * [simplify]: Extracting #10: cost 15 inf + 83856 216.440 * * [simplify]: Extracting #11: cost 4 inf + 90889 216.478 * * [simplify]: Extracting #12: cost 2 inf + 93739 216.514 * * [simplify]: Extracting #13: cost 1 inf + 95204 216.552 * * [simplify]: Extracting #14: cost 0 inf + 96669 216.580 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) 216.580 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 216.581 * * * * [progress]: [ 460 / 4754 ] simplifiying candidate # 216.581 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 216.582 * * [simplify]: iters left: 6 (48 enodes) 216.604 * * [simplify]: iters left: 5 (253 enodes) 216.702 * * [simplify]: Extracting #0: cost 1 inf + 0 216.702 * * [simplify]: Extracting #1: cost 3 inf + 0 216.703 * * [simplify]: Extracting #2: cost 6 inf + 0 216.703 * * [simplify]: Extracting #3: cost 10 inf + 0 216.703 * * [simplify]: Extracting #4: cost 20 inf + 0 216.703 * * [simplify]: Extracting #5: cost 138 inf + 0 216.705 * * [simplify]: Extracting #6: cost 297 inf + 85 216.707 * * [simplify]: Extracting #7: cost 329 inf + 1967 216.715 * * [simplify]: Extracting #8: cost 223 inf + 20771 216.737 * * [simplify]: Extracting #9: cost 105 inf + 66968 216.777 * * [simplify]: Extracting #10: cost 4 inf + 116714 216.821 * * [simplify]: Extracting #11: cost 0 inf + 118175 216.864 * * [simplify]: Extracting #12: cost 0 inf + 118135 216.905 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 216.905 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 216.906 * * * * [progress]: [ 461 / 4754 ] simplifiying candidate # 216.906 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 216.907 * * [simplify]: iters left: 6 (42 enodes) 216.918 * * [simplify]: iters left: 5 (218 enodes) 216.986 * * [simplify]: Extracting #0: cost 1 inf + 0 216.986 * * [simplify]: Extracting #1: cost 3 inf + 0 216.986 * * [simplify]: Extracting #2: cost 6 inf + 0 216.986 * * [simplify]: Extracting #3: cost 10 inf + 0 216.986 * * [simplify]: Extracting #4: cost 20 inf + 0 216.986 * * [simplify]: Extracting #5: cost 124 inf + 0 216.987 * * [simplify]: Extracting #6: cost 262 inf + 44 216.988 * * [simplify]: Extracting #7: cost 293 inf + 1720 216.992 * * [simplify]: Extracting #8: cost 193 inf + 22037 217.004 * * [simplify]: Extracting #9: cost 52 inf + 69630 217.032 * * [simplify]: Extracting #10: cost 13 inf + 85116 217.059 * * [simplify]: Extracting #11: cost 1 inf + 94415 217.081 * * [simplify]: Extracting #12: cost 0 inf + 95760 217.116 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))))))) 217.116 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 217.117 * * * * [progress]: [ 462 / 4754 ] simplifiying candidate # 217.118 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 217.118 * * [simplify]: iters left: 6 (48 enodes) 217.143 * * [simplify]: iters left: 5 (253 enodes) 217.222 * * [simplify]: Extracting #0: cost 1 inf + 0 217.222 * * [simplify]: Extracting #1: cost 3 inf + 0 217.222 * * [simplify]: Extracting #2: cost 6 inf + 0 217.223 * * [simplify]: Extracting #3: cost 10 inf + 0 217.223 * * [simplify]: Extracting #4: cost 20 inf + 0 217.223 * * [simplify]: Extracting #5: cost 138 inf + 0 217.223 * * [simplify]: Extracting #6: cost 297 inf + 85 217.225 * * [simplify]: Extracting #7: cost 327 inf + 2292 217.229 * * [simplify]: Extracting #8: cost 221 inf + 21854 217.240 * * [simplify]: Extracting #9: cost 105 inf + 67768 217.266 * * [simplify]: Extracting #10: cost 4 inf + 117514 217.289 * * [simplify]: Extracting #11: cost 0 inf + 118975 217.322 * * [simplify]: Extracting #12: cost 0 inf + 118935 217.365 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 217.365 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 217.367 * * * * [progress]: [ 463 / 4754 ] simplifiying candidate # 217.367 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 217.368 * * [simplify]: iters left: 6 (42 enodes) 217.394 * * [simplify]: iters left: 5 (218 enodes) 217.490 * * [simplify]: Extracting #0: cost 1 inf + 0 217.490 * * [simplify]: Extracting #1: cost 3 inf + 0 217.491 * * [simplify]: Extracting #2: cost 6 inf + 0 217.491 * * [simplify]: Extracting #3: cost 10 inf + 0 217.491 * * [simplify]: Extracting #4: cost 20 inf + 0 217.491 * * [simplify]: Extracting #5: cost 123 inf + 0 217.492 * * [simplify]: Extracting #6: cost 262 inf + 44 217.494 * * [simplify]: Extracting #7: cost 294 inf + 1558 217.502 * * [simplify]: Extracting #8: cost 193 inf + 21697 217.529 * * [simplify]: Extracting #9: cost 52 inf + 69870 217.561 * * [simplify]: Extracting #10: cost 13 inf + 85596 217.596 * * [simplify]: Extracting #11: cost 1 inf + 95015 217.631 * * [simplify]: Extracting #12: cost 0 inf + 96400 217.666 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))) (* (+ phi2 phi1) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 217.666 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))) (* (+ phi2 phi1) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 217.668 * * * * [progress]: [ 464 / 4754 ] simplifiying candidate # 217.668 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 217.669 * * [simplify]: iters left: 6 (48 enodes) 217.696 * * [simplify]: iters left: 5 (258 enodes) 217.811 * * [simplify]: Extracting #0: cost 1 inf + 0 217.811 * * [simplify]: Extracting #1: cost 3 inf + 0 217.811 * * [simplify]: Extracting #2: cost 6 inf + 0 217.811 * * [simplify]: Extracting #3: cost 10 inf + 0 217.811 * * [simplify]: Extracting #4: cost 16 inf + 0 217.811 * * [simplify]: Extracting #5: cost 122 inf + 0 217.812 * * [simplify]: Extracting #6: cost 315 inf + 0 217.813 * * [simplify]: Extracting #7: cost 369 inf + 1067 217.819 * * [simplify]: Extracting #8: cost 214 inf + 38687 217.851 * * [simplify]: Extracting #9: cost 41 inf + 103359 217.874 * * [simplify]: Extracting #10: cost 3 inf + 121556 217.912 * * [simplify]: Extracting #11: cost 0 inf + 121872 217.952 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 217.952 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 217.952 * * * * [progress]: [ 465 / 4754 ] simplifiying candidate # 217.953 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 217.953 * * [simplify]: iters left: 6 (48 enodes) 217.967 * * [simplify]: iters left: 5 (256 enodes) 218.063 * * [simplify]: Extracting #0: cost 1 inf + 0 218.063 * * [simplify]: Extracting #1: cost 3 inf + 0 218.063 * * [simplify]: Extracting #2: cost 6 inf + 0 218.063 * * [simplify]: Extracting #3: cost 10 inf + 0 218.063 * * [simplify]: Extracting #4: cost 16 inf + 0 218.064 * * [simplify]: Extracting #5: cost 115 inf + 0 218.064 * * [simplify]: Extracting #6: cost 304 inf + 0 218.066 * * [simplify]: Extracting #7: cost 351 inf + 1071 218.071 * * [simplify]: Extracting #8: cost 208 inf + 34052 218.094 * * [simplify]: Extracting #9: cost 40 inf + 92237 218.134 * * [simplify]: Extracting #10: cost 5 inf + 111383 218.160 * * [simplify]: Extracting #11: cost 0 inf + 115589 218.186 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* phi1 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2))))))) 218.186 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* phi1 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 218.187 * * * * [progress]: [ 466 / 4754 ] simplifiying candidate # 218.187 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 218.188 * * [simplify]: iters left: 6 (48 enodes) 218.203 * * [simplify]: iters left: 5 (256 enodes) 218.297 * * [simplify]: Extracting #0: cost 1 inf + 0 218.297 * * [simplify]: Extracting #1: cost 3 inf + 0 218.297 * * [simplify]: Extracting #2: cost 6 inf + 0 218.297 * * [simplify]: Extracting #3: cost 10 inf + 0 218.297 * * [simplify]: Extracting #4: cost 16 inf + 0 218.298 * * [simplify]: Extracting #5: cost 118 inf + 0 218.298 * * [simplify]: Extracting #6: cost 302 inf + 0 218.299 * * [simplify]: Extracting #7: cost 344 inf + 1150 218.303 * * [simplify]: Extracting #8: cost 236 inf + 20153 218.316 * * [simplify]: Extracting #9: cost 131 inf + 52154 218.348 * * [simplify]: Extracting #10: cost 24 inf + 94570 218.392 * * [simplify]: Extracting #11: cost 1 inf + 108826 218.433 * * [simplify]: Extracting #12: cost 0 inf + 110411 218.473 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 218.473 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 218.474 * * * * [progress]: [ 467 / 4754 ] simplifiying candidate # 218.475 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 218.475 * * [simplify]: iters left: 6 (40 enodes) 218.492 * * [simplify]: iters left: 5 (212 enodes) 218.551 * * [simplify]: Extracting #0: cost 1 inf + 0 218.551 * * [simplify]: Extracting #1: cost 3 inf + 0 218.551 * * [simplify]: Extracting #2: cost 6 inf + 0 218.551 * * [simplify]: Extracting #3: cost 10 inf + 0 218.551 * * [simplify]: Extracting #4: cost 16 inf + 0 218.552 * * [simplify]: Extracting #5: cost 113 inf + 0 218.553 * * [simplify]: Extracting #6: cost 274 inf + 0 218.555 * * [simplify]: Extracting #7: cost 306 inf + 540 218.559 * * [simplify]: Extracting #8: cost 236 inf + 10772 218.571 * * [simplify]: Extracting #9: cost 136 inf + 38374 218.599 * * [simplify]: Extracting #10: cost 25 inf + 80106 218.641 * * [simplify]: Extracting #11: cost 1 inf + 94838 218.671 * * [simplify]: Extracting #12: cost 0 inf + 95503 218.697 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) 218.697 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 218.698 * * * * [progress]: [ 468 / 4754 ] simplifiying candidate # 218.699 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 218.699 * * [simplify]: iters left: 6 (48 enodes) 218.723 * * [simplify]: iters left: 5 (254 enodes) 218.806 * * [simplify]: Extracting #0: cost 1 inf + 0 218.806 * * [simplify]: Extracting #1: cost 3 inf + 0 218.806 * * [simplify]: Extracting #2: cost 6 inf + 0 218.806 * * [simplify]: Extracting #3: cost 10 inf + 0 218.806 * * [simplify]: Extracting #4: cost 20 inf + 0 218.806 * * [simplify]: Extracting #5: cost 140 inf + 0 218.807 * * [simplify]: Extracting #6: cost 298 inf + 85 218.809 * * [simplify]: Extracting #7: cost 313 inf + 3312 218.813 * * [simplify]: Extracting #8: cost 200 inf + 26674 218.822 * * [simplify]: Extracting #9: cost 137 inf + 47123 218.839 * * [simplify]: Extracting #10: cost 22 inf + 94198 218.875 * * [simplify]: Extracting #11: cost 2 inf + 105375 218.896 * * [simplify]: Extracting #12: cost 0 inf + 108505 218.936 * * [simplify]: Extracting #13: cost 0 inf + 108425 218.964 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 218.964 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 218.965 * * * * [progress]: [ 469 / 4754 ] simplifiying candidate # 218.966 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 218.966 * * [simplify]: iters left: 6 (42 enodes) 218.990 * * [simplify]: iters left: 5 (220 enodes) 219.097 * * [simplify]: Extracting #0: cost 1 inf + 0 219.097 * * [simplify]: Extracting #1: cost 3 inf + 0 219.097 * * [simplify]: Extracting #2: cost 6 inf + 0 219.097 * * [simplify]: Extracting #3: cost 10 inf + 0 219.098 * * [simplify]: Extracting #4: cost 20 inf + 0 219.098 * * [simplify]: Extracting #5: cost 125 inf + 0 219.099 * * [simplify]: Extracting #6: cost 267 inf + 44 219.101 * * [simplify]: Extracting #7: cost 293 inf + 1314 219.109 * * [simplify]: Extracting #8: cost 182 inf + 23435 219.136 * * [simplify]: Extracting #9: cost 44 inf + 69242 219.164 * * [simplify]: Extracting #10: cost 7 inf + 85655 219.181 * * [simplify]: Extracting #11: cost 0 inf + 90669 219.204 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 219.205 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 219.205 * * * * [progress]: [ 470 / 4754 ] simplifiying candidate # 219.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 219.206 * * [simplify]: iters left: 6 (48 enodes) 219.219 * * [simplify]: iters left: 5 (254 enodes) 219.323 * * [simplify]: Extracting #0: cost 1 inf + 0 219.323 * * [simplify]: Extracting #1: cost 3 inf + 0 219.323 * * [simplify]: Extracting #2: cost 6 inf + 0 219.323 * * [simplify]: Extracting #3: cost 10 inf + 0 219.323 * * [simplify]: Extracting #4: cost 20 inf + 0 219.324 * * [simplify]: Extracting #5: cost 140 inf + 0 219.325 * * [simplify]: Extracting #6: cost 298 inf + 85 219.328 * * [simplify]: Extracting #7: cost 312 inf + 3554 219.335 * * [simplify]: Extracting #8: cost 205 inf + 25253 219.344 * * [simplify]: Extracting #9: cost 137 inf + 47763 219.366 * * [simplify]: Extracting #10: cost 24 inf + 93912 219.392 * * [simplify]: Extracting #11: cost 2 inf + 106015 219.416 * * [simplify]: Extracting #12: cost 0 inf + 109145 219.456 * * [simplify]: Extracting #13: cost 0 inf + 109065 219.480 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) 219.480 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 219.481 * * * * [progress]: [ 471 / 4754 ] simplifiying candidate # 219.481 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 219.481 * * [simplify]: iters left: 6 (42 enodes) 219.493 * * [simplify]: iters left: 5 (220 enodes) 219.588 * * [simplify]: Extracting #0: cost 1 inf + 0 219.588 * * [simplify]: Extracting #1: cost 3 inf + 0 219.588 * * [simplify]: Extracting #2: cost 6 inf + 0 219.588 * * [simplify]: Extracting #3: cost 10 inf + 0 219.588 * * [simplify]: Extracting #4: cost 20 inf + 0 219.588 * * [simplify]: Extracting #5: cost 124 inf + 0 219.589 * * [simplify]: Extracting #6: cost 267 inf + 44 219.592 * * [simplify]: Extracting #7: cost 292 inf + 1436 219.599 * * [simplify]: Extracting #8: cost 182 inf + 23352 219.621 * * [simplify]: Extracting #9: cost 45 inf + 69220 219.637 * * [simplify]: Extracting #10: cost 8 inf + 85643 219.658 * * [simplify]: Extracting #11: cost 0 inf + 90909 219.676 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))) (* (+ phi2 phi1) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 219.676 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))) (* (+ phi2 phi1) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 219.677 * * * * [progress]: [ 472 / 4754 ] simplifiying candidate # 219.677 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 219.678 * * [simplify]: iters left: 6 (46 enodes) 219.698 * * [simplify]: iters left: 5 (236 enodes) 219.771 * * [simplify]: Extracting #0: cost 1 inf + 0 219.771 * * [simplify]: Extracting #1: cost 3 inf + 0 219.771 * * [simplify]: Extracting #2: cost 6 inf + 0 219.771 * * [simplify]: Extracting #3: cost 10 inf + 0 219.771 * * [simplify]: Extracting #4: cost 16 inf + 0 219.771 * * [simplify]: Extracting #5: cost 113 inf + 0 219.772 * * [simplify]: Extracting #6: cost 274 inf + 0 219.773 * * [simplify]: Extracting #7: cost 329 inf + 1181 219.777 * * [simplify]: Extracting #8: cost 218 inf + 24118 219.787 * * [simplify]: Extracting #9: cost 141 inf + 48256 219.804 * * [simplify]: Extracting #10: cost 28 inf + 99125 219.825 * * [simplify]: Extracting #11: cost 4 inf + 112201 219.857 * * [simplify]: Extracting #12: cost 1 inf + 116796 219.901 * * [simplify]: Extracting #13: cost 0 inf + 117821 219.944 * * [simplify]: Extracting #14: cost 0 inf + 117541 219.986 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 219.986 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 219.987 * * * * [progress]: [ 473 / 4754 ] simplifiying candidate # 219.988 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 219.988 * * [simplify]: iters left: 6 (46 enodes) 220.012 * * [simplify]: iters left: 5 (238 enodes) 220.077 * * [simplify]: Extracting #0: cost 1 inf + 0 220.077 * * [simplify]: Extracting #1: cost 3 inf + 0 220.077 * * [simplify]: Extracting #2: cost 6 inf + 0 220.077 * * [simplify]: Extracting #3: cost 10 inf + 0 220.077 * * [simplify]: Extracting #4: cost 16 inf + 0 220.078 * * [simplify]: Extracting #5: cost 112 inf + 0 220.078 * * [simplify]: Extracting #6: cost 283 inf + 0 220.079 * * [simplify]: Extracting #7: cost 330 inf + 1311 220.083 * * [simplify]: Extracting #8: cost 217 inf + 22968 220.092 * * [simplify]: Extracting #9: cost 131 inf + 50588 220.111 * * [simplify]: Extracting #10: cost 16 inf + 105188 220.136 * * [simplify]: Extracting #11: cost 0 inf + 116068 220.157 * * [simplify]: Extracting #12: cost 0 inf + 115988 220.179 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 220.179 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 220.180 * * * * [progress]: [ 474 / 4754 ] simplifiying candidate # 220.180 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 220.180 * * [simplify]: iters left: 6 (46 enodes) 220.192 * * [simplify]: iters left: 5 (237 enodes) 220.250 * * [simplify]: Extracting #0: cost 1 inf + 0 220.250 * * [simplify]: Extracting #1: cost 3 inf + 0 220.250 * * [simplify]: Extracting #2: cost 6 inf + 0 220.250 * * [simplify]: Extracting #3: cost 10 inf + 0 220.250 * * [simplify]: Extracting #4: cost 16 inf + 0 220.250 * * [simplify]: Extracting #5: cost 116 inf + 0 220.251 * * [simplify]: Extracting #6: cost 276 inf + 0 220.252 * * [simplify]: Extracting #7: cost 315 inf + 1995 220.258 * * [simplify]: Extracting #8: cost 174 inf + 35747 220.282 * * [simplify]: Extracting #9: cost 48 inf + 86985 220.320 * * [simplify]: Extracting #10: cost 8 inf + 105806 220.360 * * [simplify]: Extracting #11: cost 0 inf + 111512 220.400 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ phi2 phi1) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 220.400 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ phi2 phi1) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 220.402 * * * * [progress]: [ 475 / 4754 ] simplifiying candidate # 220.402 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 220.403 * * [simplify]: iters left: 6 (38 enodes) 220.418 * * [simplify]: iters left: 5 (187 enodes) 220.462 * * [simplify]: Extracting #0: cost 1 inf + 0 220.462 * * [simplify]: Extracting #1: cost 3 inf + 0 220.462 * * [simplify]: Extracting #2: cost 6 inf + 0 220.462 * * [simplify]: Extracting #3: cost 10 inf + 0 220.462 * * [simplify]: Extracting #4: cost 16 inf + 0 220.462 * * [simplify]: Extracting #5: cost 99 inf + 0 220.462 * * [simplify]: Extracting #6: cost 219 inf + 0 220.463 * * [simplify]: Extracting #7: cost 248 inf + 661 220.466 * * [simplify]: Extracting #8: cost 189 inf + 9462 220.476 * * [simplify]: Extracting #9: cost 110 inf + 33702 220.500 * * [simplify]: Extracting #10: cost 26 inf + 68923 220.520 * * [simplify]: Extracting #11: cost 2 inf + 82746 220.540 * * [simplify]: Extracting #12: cost 0 inf + 85396 220.571 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 220.571 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 220.572 * * * * [progress]: [ 476 / 4754 ] simplifiying candidate # 220.573 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 220.573 * * [simplify]: iters left: 6 (46 enodes) 220.591 * * [simplify]: iters left: 5 (236 enodes) 220.659 * * [simplify]: Extracting #0: cost 1 inf + 0 220.660 * * [simplify]: Extracting #1: cost 3 inf + 0 220.660 * * [simplify]: Extracting #2: cost 6 inf + 0 220.660 * * [simplify]: Extracting #3: cost 10 inf + 0 220.660 * * [simplify]: Extracting #4: cost 20 inf + 0 220.660 * * [simplify]: Extracting #5: cost 137 inf + 0 220.661 * * [simplify]: Extracting #6: cost 277 inf + 43 220.662 * * [simplify]: Extracting #7: cost 286 inf + 5154 220.667 * * [simplify]: Extracting #8: cost 184 inf + 29904 220.679 * * [simplify]: Extracting #9: cost 122 inf + 49078 220.712 * * [simplify]: Extracting #10: cost 20 inf + 99931 220.737 * * [simplify]: Extracting #11: cost 0 inf + 110482 220.760 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 220.760 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 220.760 * * * * [progress]: [ 477 / 4754 ] simplifiying candidate # 220.761 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 220.761 * * [simplify]: iters left: 6 (40 enodes) 220.772 * * [simplify]: iters left: 5 (201 enodes) 220.831 * * [simplify]: Extracting #0: cost 1 inf + 0 220.831 * * [simplify]: Extracting #1: cost 3 inf + 0 220.831 * * [simplify]: Extracting #2: cost 6 inf + 0 220.831 * * [simplify]: Extracting #3: cost 10 inf + 0 220.831 * * [simplify]: Extracting #4: cost 20 inf + 0 220.831 * * [simplify]: Extracting #5: cost 121 inf + 0 220.834 * * [simplify]: Extracting #6: cost 240 inf + 44 220.835 * * [simplify]: Extracting #7: cost 263 inf + 1560 220.839 * * [simplify]: Extracting #8: cost 167 inf + 23628 220.851 * * [simplify]: Extracting #9: cost 51 inf + 63978 220.866 * * [simplify]: Extracting #10: cost 11 inf + 79056 220.888 * * [simplify]: Extracting #11: cost 2 inf + 85853 220.921 * * [simplify]: Extracting #12: cost 0 inf + 88543 220.955 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 220.955 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 220.956 * * * * [progress]: [ 478 / 4754 ] simplifiying candidate # 220.956 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 220.957 * * [simplify]: iters left: 6 (46 enodes) 220.985 * * [simplify]: iters left: 5 (236 enodes) 221.065 * * [simplify]: Extracting #0: cost 1 inf + 0 221.065 * * [simplify]: Extracting #1: cost 3 inf + 0 221.065 * * [simplify]: Extracting #2: cost 6 inf + 0 221.065 * * [simplify]: Extracting #3: cost 10 inf + 0 221.065 * * [simplify]: Extracting #4: cost 20 inf + 0 221.066 * * [simplify]: Extracting #5: cost 137 inf + 0 221.067 * * [simplify]: Extracting #6: cost 277 inf + 43 221.073 * * [simplify]: Extracting #7: cost 288 inf + 4310 221.082 * * [simplify]: Extracting #8: cost 188 inf + 29335 221.093 * * [simplify]: Extracting #9: cost 123 inf + 49573 221.111 * * [simplify]: Extracting #10: cost 22 inf + 100067 221.151 * * [simplify]: Extracting #11: cost 0 inf + 111122 221.180 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 221.180 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 221.181 * * * * [progress]: [ 479 / 4754 ] simplifiying candidate # 221.181 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 221.181 * * [simplify]: iters left: 6 (40 enodes) 221.193 * * [simplify]: iters left: 5 (200 enodes) 221.245 * * [simplify]: Extracting #0: cost 1 inf + 0 221.245 * * [simplify]: Extracting #1: cost 3 inf + 0 221.245 * * [simplify]: Extracting #2: cost 6 inf + 0 221.245 * * [simplify]: Extracting #3: cost 10 inf + 0 221.245 * * [simplify]: Extracting #4: cost 20 inf + 0 221.245 * * [simplify]: Extracting #5: cost 121 inf + 0 221.246 * * [simplify]: Extracting #6: cost 235 inf + 44 221.246 * * [simplify]: Extracting #7: cost 261 inf + 1274 221.249 * * [simplify]: Extracting #8: cost 195 inf + 11780 221.255 * * [simplify]: Extracting #9: cost 111 inf + 37152 221.269 * * [simplify]: Extracting #10: cost 22 inf + 72327 221.304 * * [simplify]: Extracting #11: cost 0 inf + 87487 221.338 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) 221.338 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 221.339 * * * * [progress]: [ 480 / 4754 ] simplifiying candidate # 221.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 221.340 * * [simplify]: iters left: 6 (49 enodes) 221.366 * * [simplify]: iters left: 5 (250 enodes) 221.436 * * [simplify]: Extracting #0: cost 1 inf + 0 221.436 * * [simplify]: Extracting #1: cost 3 inf + 0 221.436 * * [simplify]: Extracting #2: cost 6 inf + 0 221.436 * * [simplify]: Extracting #3: cost 10 inf + 0 221.436 * * [simplify]: Extracting #4: cost 16 inf + 0 221.436 * * [simplify]: Extracting #5: cost 112 inf + 0 221.437 * * [simplify]: Extracting #6: cost 283 inf + 0 221.438 * * [simplify]: Extracting #7: cost 336 inf + 1231 221.442 * * [simplify]: Extracting #8: cost 240 inf + 17724 221.449 * * [simplify]: Extracting #9: cost 143 inf + 45763 221.465 * * [simplify]: Extracting #10: cost 38 inf + 87413 221.500 * * [simplify]: Extracting #11: cost 1 inf + 109873 221.537 * * [simplify]: Extracting #12: cost 0 inf + 111458 221.559 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) 221.559 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 221.560 * * * * [progress]: [ 481 / 4754 ] simplifiying candidate # 221.560 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 221.560 * * [simplify]: iters left: 6 (49 enodes) 221.576 * * [simplify]: iters left: 5 (252 enodes) 221.654 * * [simplify]: Extracting #0: cost 1 inf + 0 221.654 * * [simplify]: Extracting #1: cost 3 inf + 0 221.654 * * [simplify]: Extracting #2: cost 6 inf + 0 221.654 * * [simplify]: Extracting #3: cost 10 inf + 0 221.654 * * [simplify]: Extracting #4: cost 16 inf + 0 221.655 * * [simplify]: Extracting #5: cost 113 inf + 0 221.656 * * [simplify]: Extracting #6: cost 295 inf + 0 221.658 * * [simplify]: Extracting #7: cost 343 inf + 1230 221.665 * * [simplify]: Extracting #8: cost 239 inf + 19148 221.683 * * [simplify]: Extracting #9: cost 134 inf + 51027 221.712 * * [simplify]: Extracting #10: cost 21 inf + 99424 221.737 * * [simplify]: Extracting #11: cost 0 inf + 110218 221.761 * * [simplify]: Extracting #12: cost 0 inf + 110138 221.801 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))))))) 221.801 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 221.802 * * * * [progress]: [ 482 / 4754 ] simplifiying candidate # 221.803 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 221.804 * * [simplify]: iters left: 6 (49 enodes) 221.831 * * [simplify]: iters left: 5 (252 enodes) 221.947 * * [simplify]: Extracting #0: cost 1 inf + 0 221.947 * * [simplify]: Extracting #1: cost 3 inf + 0 221.947 * * [simplify]: Extracting #2: cost 6 inf + 0 221.947 * * [simplify]: Extracting #3: cost 10 inf + 0 221.947 * * [simplify]: Extracting #4: cost 16 inf + 0 221.947 * * [simplify]: Extracting #5: cost 116 inf + 0 221.949 * * [simplify]: Extracting #6: cost 294 inf + 0 221.951 * * [simplify]: Extracting #7: cost 341 inf + 1063 221.958 * * [simplify]: Extracting #8: cost 241 inf + 18501 221.973 * * [simplify]: Extracting #9: cost 143 inf + 44949 222.002 * * [simplify]: Extracting #10: cost 43 inf + 82363 222.038 * * [simplify]: Extracting #11: cost 2 inf + 103733 222.063 * * [simplify]: Extracting #12: cost 0 inf + 106943 222.084 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) 222.084 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 222.084 * * * * [progress]: [ 483 / 4754 ] simplifiying candidate # 222.085 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 222.085 * * [simplify]: iters left: 6 (41 enodes) 222.096 * * [simplify]: iters left: 5 (204 enodes) 222.177 * * [simplify]: Extracting #0: cost 1 inf + 0 222.177 * * [simplify]: Extracting #1: cost 3 inf + 0 222.177 * * [simplify]: Extracting #2: cost 6 inf + 0 222.177 * * [simplify]: Extracting #3: cost 10 inf + 0 222.177 * * [simplify]: Extracting #4: cost 16 inf + 0 222.177 * * [simplify]: Extracting #5: cost 104 inf + 0 222.178 * * [simplify]: Extracting #6: cost 249 inf + 0 222.180 * * [simplify]: Extracting #7: cost 280 inf + 742 222.188 * * [simplify]: Extracting #8: cost 172 inf + 23907 222.212 * * [simplify]: Extracting #9: cost 36 inf + 69942 222.237 * * [simplify]: Extracting #10: cost 4 inf + 85769 222.254 * * [simplify]: Extracting #11: cost 0 inf + 88043 222.278 * * [simplify]: Extracting #12: cost 0 inf + 88003 222.313 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1))))))))) 222.313 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 222.314 * * * * [progress]: [ 484 / 4754 ] simplifiying candidate # 222.314 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 222.315 * * [simplify]: iters left: 6 (49 enodes) 222.336 * * [simplify]: iters left: 5 (250 enodes) 222.426 * * [simplify]: Extracting #0: cost 1 inf + 0 222.426 * * [simplify]: Extracting #1: cost 3 inf + 0 222.426 * * [simplify]: Extracting #2: cost 6 inf + 0 222.426 * * [simplify]: Extracting #3: cost 10 inf + 0 222.426 * * [simplify]: Extracting #4: cost 20 inf + 0 222.427 * * [simplify]: Extracting #5: cost 136 inf + 0 222.428 * * [simplify]: Extracting #6: cost 288 inf + 43 222.431 * * [simplify]: Extracting #7: cost 305 inf + 3515 222.439 * * [simplify]: Extracting #8: cost 205 inf + 24363 222.455 * * [simplify]: Extracting #9: cost 138 inf + 44404 222.491 * * [simplify]: Extracting #10: cost 32 inf + 86494 222.511 * * [simplify]: Extracting #11: cost 3 inf + 101854 222.541 * * [simplify]: Extracting #12: cost 0 inf + 105609 222.568 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 222.569 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 222.569 * * * * [progress]: [ 485 / 4754 ] simplifiying candidate # 222.570 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 222.570 * * [simplify]: iters left: 6 (43 enodes) 222.582 * * [simplify]: iters left: 5 (216 enodes) 222.678 * * [simplify]: Extracting #0: cost 1 inf + 0 222.678 * * [simplify]: Extracting #1: cost 3 inf + 0 222.679 * * [simplify]: Extracting #2: cost 6 inf + 0 222.679 * * [simplify]: Extracting #3: cost 10 inf + 0 222.679 * * [simplify]: Extracting #4: cost 20 inf + 0 222.679 * * [simplify]: Extracting #5: cost 123 inf + 0 222.680 * * [simplify]: Extracting #6: cost 259 inf + 44 222.682 * * [simplify]: Extracting #7: cost 283 inf + 1640 222.689 * * [simplify]: Extracting #8: cost 187 inf + 20308 222.712 * * [simplify]: Extracting #9: cost 46 inf + 65978 222.748 * * [simplify]: Extracting #10: cost 5 inf + 86491 222.780 * * [simplify]: Extracting #11: cost 0 inf + 87687 222.805 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 222.805 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 222.805 * * * * [progress]: [ 486 / 4754 ] simplifiying candidate # 222.806 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 222.806 * * [simplify]: iters left: 6 (49 enodes) 222.819 * * [simplify]: iters left: 5 (250 enodes) 222.924 * * [simplify]: Extracting #0: cost 1 inf + 0 222.924 * * [simplify]: Extracting #1: cost 3 inf + 0 222.924 * * [simplify]: Extracting #2: cost 6 inf + 0 222.924 * * [simplify]: Extracting #3: cost 10 inf + 0 222.924 * * [simplify]: Extracting #4: cost 20 inf + 0 222.924 * * [simplify]: Extracting #5: cost 136 inf + 0 222.926 * * [simplify]: Extracting #6: cost 285 inf + 249 222.929 * * [simplify]: Extracting #7: cost 299 inf + 4322 222.937 * * [simplify]: Extracting #8: cost 207 inf + 23839 222.951 * * [simplify]: Extracting #9: cost 141 inf + 43428 222.979 * * [simplify]: Extracting #10: cost 34 inf + 85964 223.007 * * [simplify]: Extracting #11: cost 2 inf + 104079 223.046 * * [simplify]: Extracting #12: cost 0 inf + 106169 223.085 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 223.085 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 223.086 * * * * [progress]: [ 487 / 4754 ] simplifiying candidate # 223.087 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 223.087 * * [simplify]: iters left: 6 (43 enodes) 223.107 * * [simplify]: iters left: 5 (216 enodes) 223.166 * * [simplify]: Extracting #0: cost 1 inf + 0 223.166 * * [simplify]: Extracting #1: cost 3 inf + 0 223.166 * * [simplify]: Extracting #2: cost 6 inf + 0 223.166 * * [simplify]: Extracting #3: cost 10 inf + 0 223.166 * * [simplify]: Extracting #4: cost 20 inf + 0 223.166 * * [simplify]: Extracting #5: cost 122 inf + 0 223.167 * * [simplify]: Extracting #6: cost 259 inf + 44 223.170 * * [simplify]: Extracting #7: cost 283 inf + 1640 223.177 * * [simplify]: Extracting #8: cost 184 inf + 20938 223.198 * * [simplify]: Extracting #9: cost 46 inf + 66218 223.230 * * [simplify]: Extracting #10: cost 5 inf + 86731 223.267 * * [simplify]: Extracting #11: cost 0 inf + 87927 223.293 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 223.293 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 223.293 * * * * [progress]: [ 488 / 4754 ] simplifiying candidate # 223.294 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 223.294 * * [simplify]: iters left: 6 (46 enodes) 223.306 * * [simplify]: iters left: 5 (237 enodes) 223.412 * * [simplify]: Extracting #0: cost 1 inf + 0 223.412 * * [simplify]: Extracting #1: cost 3 inf + 0 223.412 * * [simplify]: Extracting #2: cost 6 inf + 0 223.412 * * [simplify]: Extracting #3: cost 10 inf + 0 223.412 * * [simplify]: Extracting #4: cost 16 inf + 0 223.413 * * [simplify]: Extracting #5: cost 113 inf + 0 223.414 * * [simplify]: Extracting #6: cost 270 inf + 0 223.416 * * [simplify]: Extracting #7: cost 333 inf + 535 223.421 * * [simplify]: Extracting #8: cost 268 inf + 14937 223.433 * * [simplify]: Extracting #9: cost 184 inf + 34877 223.463 * * [simplify]: Extracting #10: cost 40 inf + 92279 223.501 * * [simplify]: Extracting #11: cost 8 inf + 106901 223.544 * * [simplify]: Extracting #12: cost 3 inf + 112626 223.585 * * [simplify]: Extracting #13: cost 1 inf + 115156 223.616 * * [simplify]: Extracting #14: cost 0 inf + 116781 223.651 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 223.651 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 223.652 * * * * [progress]: [ 489 / 4754 ] simplifiying candidate # 223.652 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 223.653 * * [simplify]: iters left: 6 (46 enodes) 223.678 * * [simplify]: iters left: 5 (239 enodes) 223.760 * * [simplify]: Extracting #0: cost 1 inf + 0 223.760 * * [simplify]: Extracting #1: cost 3 inf + 0 223.760 * * [simplify]: Extracting #2: cost 6 inf + 0 223.760 * * [simplify]: Extracting #3: cost 10 inf + 0 223.760 * * [simplify]: Extracting #4: cost 16 inf + 0 223.760 * * [simplify]: Extracting #5: cost 112 inf + 0 223.761 * * [simplify]: Extracting #6: cost 280 inf + 0 223.762 * * [simplify]: Extracting #7: cost 337 inf + 698 223.766 * * [simplify]: Extracting #8: cost 235 inf + 30320 223.781 * * [simplify]: Extracting #9: cost 66 inf + 97072 223.821 * * [simplify]: Extracting #10: cost 6 inf + 113458 223.864 * * [simplify]: Extracting #11: cost 0 inf + 116093 223.907 * * [simplify]: Extracting #12: cost 0 inf + 116013 223.951 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 223.951 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 223.952 * * * * [progress]: [ 490 / 4754 ] simplifiying candidate # 223.952 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 223.953 * * [simplify]: iters left: 6 (46 enodes) 223.978 * * [simplify]: iters left: 5 (238 enodes) 224.073 * * [simplify]: Extracting #0: cost 1 inf + 0 224.073 * * [simplify]: Extracting #1: cost 3 inf + 0 224.073 * * [simplify]: Extracting #2: cost 6 inf + 0 224.073 * * [simplify]: Extracting #3: cost 10 inf + 0 224.073 * * [simplify]: Extracting #4: cost 16 inf + 0 224.073 * * [simplify]: Extracting #5: cost 116 inf + 0 224.074 * * [simplify]: Extracting #6: cost 273 inf + 0 224.075 * * [simplify]: Extracting #7: cost 327 inf + 494 224.081 * * [simplify]: Extracting #8: cost 236 inf + 30295 224.096 * * [simplify]: Extracting #9: cost 111 inf + 77572 224.113 * * [simplify]: Extracting #10: cost 28 inf + 95421 224.133 * * [simplify]: Extracting #11: cost 4 inf + 105157 224.168 * * [simplify]: Extracting #12: cost 0 inf + 111217 224.192 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 224.192 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 224.193 * * * * [progress]: [ 491 / 4754 ] simplifiying candidate # 224.193 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 224.194 * * [simplify]: iters left: 6 (38 enodes) 224.215 * * [simplify]: iters left: 5 (189 enodes) 224.291 * * [simplify]: Extracting #0: cost 1 inf + 0 224.291 * * [simplify]: Extracting #1: cost 3 inf + 0 224.291 * * [simplify]: Extracting #2: cost 6 inf + 0 224.291 * * [simplify]: Extracting #3: cost 10 inf + 0 224.292 * * [simplify]: Extracting #4: cost 16 inf + 0 224.292 * * [simplify]: Extracting #5: cost 99 inf + 0 224.292 * * [simplify]: Extracting #6: cost 222 inf + 0 224.293 * * [simplify]: Extracting #7: cost 260 inf + 373 224.297 * * [simplify]: Extracting #8: cost 221 inf + 8558 224.301 * * [simplify]: Extracting #9: cost 155 inf + 24627 224.316 * * [simplify]: Extracting #10: cost 41 inf + 63263 224.343 * * [simplify]: Extracting #11: cost 12 inf + 77475 224.359 * * [simplify]: Extracting #12: cost 3 inf + 83936 224.378 * * [simplify]: Extracting #13: cost 1 inf + 86586 224.407 * * [simplify]: Extracting #14: cost 0 inf + 87931 224.435 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 224.435 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 224.436 * * * * [progress]: [ 492 / 4754 ] simplifiying candidate # 224.437 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 224.437 * * [simplify]: iters left: 6 (46 enodes) 224.449 * * [simplify]: iters left: 5 (237 enodes) 224.546 * * [simplify]: Extracting #0: cost 1 inf + 0 224.546 * * [simplify]: Extracting #1: cost 3 inf + 0 224.546 * * [simplify]: Extracting #2: cost 6 inf + 0 224.546 * * [simplify]: Extracting #3: cost 10 inf + 0 224.546 * * [simplify]: Extracting #4: cost 20 inf + 0 224.546 * * [simplify]: Extracting #5: cost 137 inf + 0 224.547 * * [simplify]: Extracting #6: cost 272 inf + 85 224.548 * * [simplify]: Extracting #7: cost 310 inf + 1149 224.550 * * [simplify]: Extracting #8: cost 259 inf + 12724 224.558 * * [simplify]: Extracting #9: cost 135 inf + 45971 224.584 * * [simplify]: Extracting #10: cost 19 inf + 98755 224.607 * * [simplify]: Extracting #11: cost 0 inf + 109922 224.628 * * [simplify]: Extracting #12: cost 0 inf + 109842 224.665 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 224.665 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 224.666 * * * * [progress]: [ 493 / 4754 ] simplifiying candidate # 224.667 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 224.668 * * [simplify]: iters left: 6 (40 enodes) 224.691 * * [simplify]: iters left: 5 (203 enodes) 224.753 * * [simplify]: Extracting #0: cost 1 inf + 0 224.754 * * [simplify]: Extracting #1: cost 3 inf + 0 224.754 * * [simplify]: Extracting #2: cost 6 inf + 0 224.754 * * [simplify]: Extracting #3: cost 10 inf + 0 224.754 * * [simplify]: Extracting #4: cost 20 inf + 0 224.754 * * [simplify]: Extracting #5: cost 120 inf + 0 224.754 * * [simplify]: Extracting #6: cost 238 inf + 44 224.755 * * [simplify]: Extracting #7: cost 274 inf + 984 224.757 * * [simplify]: Extracting #8: cost 226 inf + 10793 224.762 * * [simplify]: Extracting #9: cost 160 inf + 27473 224.775 * * [simplify]: Extracting #10: cost 38 inf + 70233 224.801 * * [simplify]: Extracting #11: cost 8 inf + 80652 224.818 * * [simplify]: Extracting #12: cost 0 inf + 88932 224.846 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 224.846 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 224.847 * * * * [progress]: [ 494 / 4754 ] simplifiying candidate # 224.848 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 224.848 * * [simplify]: iters left: 6 (46 enodes) 224.867 * * [simplify]: iters left: 5 (237 enodes) 224.940 * * [simplify]: Extracting #0: cost 1 inf + 0 224.940 * * [simplify]: Extracting #1: cost 3 inf + 0 224.940 * * [simplify]: Extracting #2: cost 6 inf + 0 224.940 * * [simplify]: Extracting #3: cost 10 inf + 0 224.940 * * [simplify]: Extracting #4: cost 20 inf + 0 224.940 * * [simplify]: Extracting #5: cost 137 inf + 0 224.941 * * [simplify]: Extracting #6: cost 273 inf + 43 224.942 * * [simplify]: Extracting #7: cost 311 inf + 1105 224.944 * * [simplify]: Extracting #8: cost 257 inf + 13970 224.954 * * [simplify]: Extracting #9: cost 138 inf + 45277 224.984 * * [simplify]: Extracting #10: cost 18 inf + 99674 225.023 * * [simplify]: Extracting #11: cost 0 inf + 110682 225.063 * * [simplify]: Extracting #12: cost 0 inf + 110602 225.102 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 225.102 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 225.103 * * * * [progress]: [ 495 / 4754 ] simplifiying candidate # 225.103 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 225.104 * * [simplify]: iters left: 6 (40 enodes) 225.127 * * [simplify]: iters left: 5 (202 enodes) 225.209 * * [simplify]: Extracting #0: cost 1 inf + 0 225.209 * * [simplify]: Extracting #1: cost 3 inf + 0 225.209 * * [simplify]: Extracting #2: cost 6 inf + 0 225.209 * * [simplify]: Extracting #3: cost 10 inf + 0 225.209 * * [simplify]: Extracting #4: cost 20 inf + 0 225.209 * * [simplify]: Extracting #5: cost 120 inf + 0 225.210 * * [simplify]: Extracting #6: cost 233 inf + 44 225.211 * * [simplify]: Extracting #7: cost 266 inf + 1390 225.213 * * [simplify]: Extracting #8: cost 224 inf + 11043 225.216 * * [simplify]: Extracting #9: cost 155 inf + 26101 225.233 * * [simplify]: Extracting #10: cost 28 inf + 71454 225.266 * * [simplify]: Extracting #11: cost 1 inf + 86771 225.299 * * [simplify]: Extracting #12: cost 0 inf + 87916 225.325 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 225.325 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 225.326 * * * * [progress]: [ 496 / 4754 ] simplifiying candidate # 225.326 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 225.326 * * [simplify]: iters left: 6 (49 enodes) 225.341 * * [simplify]: iters left: 5 (250 enodes) 225.423 * * [simplify]: Extracting #0: cost 1 inf + 0 225.423 * * [simplify]: Extracting #1: cost 3 inf + 0 225.423 * * [simplify]: Extracting #2: cost 6 inf + 0 225.423 * * [simplify]: Extracting #3: cost 10 inf + 0 225.423 * * [simplify]: Extracting #4: cost 16 inf + 0 225.424 * * [simplify]: Extracting #5: cost 112 inf + 0 225.425 * * [simplify]: Extracting #6: cost 287 inf + 0 225.426 * * [simplify]: Extracting #7: cost 335 inf + 1152 225.430 * * [simplify]: Extracting #8: cost 237 inf + 18412 225.438 * * [simplify]: Extracting #9: cost 146 inf + 44469 225.460 * * [simplify]: Extracting #10: cost 37 inf + 88952 225.483 * * [simplify]: Extracting #11: cost 2 inf + 110008 225.513 * * [simplify]: Extracting #12: cost 0 inf + 112018 225.539 * * [simplify]: Extracting #13: cost 0 inf + 111338 225.563 * * [simplify]: Extracting #14: cost 0 inf + 111258 225.605 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))))) 225.605 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 225.607 * * * * [progress]: [ 497 / 4754 ] simplifiying candidate # 225.607 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 225.608 * * [simplify]: iters left: 6 (49 enodes) 225.637 * * [simplify]: iters left: 5 (252 enodes) 225.724 * * [simplify]: Extracting #0: cost 1 inf + 0 225.724 * * [simplify]: Extracting #1: cost 3 inf + 0 225.724 * * [simplify]: Extracting #2: cost 6 inf + 0 225.724 * * [simplify]: Extracting #3: cost 10 inf + 0 225.724 * * [simplify]: Extracting #4: cost 16 inf + 0 225.724 * * [simplify]: Extracting #5: cost 113 inf + 0 225.726 * * [simplify]: Extracting #6: cost 299 inf + 0 225.728 * * [simplify]: Extracting #7: cost 347 inf + 664 225.733 * * [simplify]: Extracting #8: cost 257 inf + 14213 225.752 * * [simplify]: Extracting #9: cost 126 inf + 56742 225.775 * * [simplify]: Extracting #10: cost 10 inf + 104820 225.798 * * [simplify]: Extracting #11: cost 0 inf + 110898 225.840 * * [simplify]: Extracting #12: cost 0 inf + 110738 225.882 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) 225.882 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 225.884 * * * * [progress]: [ 498 / 4754 ] simplifiying candidate # 225.884 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 225.885 * * [simplify]: iters left: 6 (49 enodes) 225.913 * * [simplify]: iters left: 5 (252 enodes) 226.028 * * [simplify]: Extracting #0: cost 1 inf + 0 226.028 * * [simplify]: Extracting #1: cost 3 inf + 0 226.028 * * [simplify]: Extracting #2: cost 6 inf + 0 226.028 * * [simplify]: Extracting #3: cost 10 inf + 0 226.028 * * [simplify]: Extracting #4: cost 16 inf + 0 226.029 * * [simplify]: Extracting #5: cost 116 inf + 0 226.029 * * [simplify]: Extracting #6: cost 298 inf + 0 226.030 * * [simplify]: Extracting #7: cost 329 inf + 2609 226.034 * * [simplify]: Extracting #8: cost 226 inf + 21296 226.042 * * [simplify]: Extracting #9: cost 141 inf + 45272 226.057 * * [simplify]: Extracting #10: cost 38 inf + 85539 226.095 * * [simplify]: Extracting #11: cost 2 inf + 106133 226.135 * * [simplify]: Extracting #12: cost 0 inf + 108623 226.171 * * [simplify]: Extracting #13: cost 0 inf + 108463 226.191 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) 226.191 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 226.192 * * * * [progress]: [ 499 / 4754 ] simplifiying candidate # 226.192 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 226.192 * * [simplify]: iters left: 6 (41 enodes) 226.208 * * [simplify]: iters left: 5 (204 enodes) 226.271 * * [simplify]: Extracting #0: cost 1 inf + 0 226.271 * * [simplify]: Extracting #1: cost 3 inf + 0 226.271 * * [simplify]: Extracting #2: cost 6 inf + 0 226.271 * * [simplify]: Extracting #3: cost 10 inf + 0 226.271 * * [simplify]: Extracting #4: cost 16 inf + 0 226.271 * * [simplify]: Extracting #5: cost 104 inf + 0 226.271 * * [simplify]: Extracting #6: cost 253 inf + 0 226.272 * * [simplify]: Extracting #7: cost 279 inf + 984 226.276 * * [simplify]: Extracting #8: cost 171 inf + 23951 226.289 * * [simplify]: Extracting #9: cost 38 inf + 69199 226.308 * * [simplify]: Extracting #10: cost 3 inf + 86341 226.331 * * [simplify]: Extracting #11: cost 0 inf + 88683 226.364 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1))))))))) 226.364 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 226.365 * * * * [progress]: [ 500 / 4754 ] simplifiying candidate # 226.366 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 226.366 * * [simplify]: iters left: 6 (49 enodes) 226.391 * * [simplify]: iters left: 5 (250 enodes) 226.478 * * [simplify]: Extracting #0: cost 1 inf + 0 226.478 * * [simplify]: Extracting #1: cost 3 inf + 0 226.478 * * [simplify]: Extracting #2: cost 6 inf + 0 226.478 * * [simplify]: Extracting #3: cost 10 inf + 0 226.478 * * [simplify]: Extracting #4: cost 20 inf + 0 226.479 * * [simplify]: Extracting #5: cost 136 inf + 0 226.480 * * [simplify]: Extracting #6: cost 292 inf + 43 226.483 * * [simplify]: Extracting #7: cost 308 inf + 2784 226.490 * * [simplify]: Extracting #8: cost 218 inf + 20566 226.504 * * [simplify]: Extracting #9: cost 146 inf + 41420 226.534 * * [simplify]: Extracting #10: cost 31 inf + 86797 226.575 * * [simplify]: Extracting #11: cost 3 inf + 101574 226.615 * * [simplify]: Extracting #12: cost 0 inf + 105329 226.654 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 226.654 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 226.655 * * * * [progress]: [ 501 / 4754 ] simplifiying candidate # 226.656 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 226.656 * * [simplify]: iters left: 6 (43 enodes) 226.681 * * [simplify]: iters left: 5 (216 enodes) 226.757 * * [simplify]: Extracting #0: cost 1 inf + 0 226.758 * * [simplify]: Extracting #1: cost 3 inf + 0 226.758 * * [simplify]: Extracting #2: cost 6 inf + 0 226.758 * * [simplify]: Extracting #3: cost 10 inf + 0 226.758 * * [simplify]: Extracting #4: cost 20 inf + 0 226.758 * * [simplify]: Extracting #5: cost 123 inf + 0 226.759 * * [simplify]: Extracting #6: cost 263 inf + 44 226.761 * * [simplify]: Extracting #7: cost 285 inf + 1558 226.768 * * [simplify]: Extracting #8: cost 186 inf + 20172 226.791 * * [simplify]: Extracting #9: cost 43 inf + 67793 226.813 * * [simplify]: Extracting #10: cost 8 inf + 84458 226.831 * * [simplify]: Extracting #11: cost 0 inf + 88767 226.867 * * [simplify]: Extracting #12: cost 0 inf + 88567 226.885 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (+ phi2 phi1) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) 226.885 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (+ phi2 phi1) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 226.885 * * * * [progress]: [ 502 / 4754 ] simplifiying candidate # 226.886 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 226.886 * * [simplify]: iters left: 6 (49 enodes) 226.902 * * [simplify]: iters left: 5 (250 enodes) 226.990 * * [simplify]: Extracting #0: cost 1 inf + 0 226.990 * * [simplify]: Extracting #1: cost 3 inf + 0 226.990 * * [simplify]: Extracting #2: cost 6 inf + 0 226.990 * * [simplify]: Extracting #3: cost 10 inf + 0 226.990 * * [simplify]: Extracting #4: cost 20 inf + 0 226.991 * * [simplify]: Extracting #5: cost 136 inf + 0 226.992 * * [simplify]: Extracting #6: cost 291 inf + 85 226.995 * * [simplify]: Extracting #7: cost 303 inf + 3671 227.001 * * [simplify]: Extracting #8: cost 206 inf + 24441 227.009 * * [simplify]: Extracting #9: cost 139 inf + 44202 227.024 * * [simplify]: Extracting #10: cost 31 inf + 87235 227.053 * * [simplify]: Extracting #11: cost 3 inf + 102094 227.080 * * [simplify]: Extracting #12: cost 0 inf + 105849 227.104 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 227.104 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 227.105 * * * * [progress]: [ 503 / 4754 ] simplifiying candidate # 227.105 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 227.105 * * [simplify]: iters left: 6 (43 enodes) 227.117 * * [simplify]: iters left: 5 (216 enodes) 227.177 * * [simplify]: Extracting #0: cost 1 inf + 0 227.177 * * [simplify]: Extracting #1: cost 3 inf + 0 227.177 * * [simplify]: Extracting #2: cost 6 inf + 0 227.177 * * [simplify]: Extracting #3: cost 10 inf + 0 227.177 * * [simplify]: Extracting #4: cost 20 inf + 0 227.178 * * [simplify]: Extracting #5: cost 122 inf + 0 227.179 * * [simplify]: Extracting #6: cost 263 inf + 44 227.181 * * [simplify]: Extracting #7: cost 285 inf + 1558 227.188 * * [simplify]: Extracting #8: cost 183 inf + 20639 227.200 * * [simplify]: Extracting #9: cost 35 inf + 70581 227.223 * * [simplify]: Extracting #10: cost 5 inf + 85230 227.244 * * [simplify]: Extracting #11: cost 0 inf + 88607 227.268 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) 227.268 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 227.269 * * * * [progress]: [ 504 / 4754 ] simplifiying candidate # 227.269 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 227.270 * * [simplify]: iters left: 6 (40 enodes) 227.291 * * [simplify]: iters left: 5 (205 enodes) 227.344 * * [simplify]: Extracting #0: cost 1 inf + 0 227.344 * * [simplify]: Extracting #1: cost 3 inf + 0 227.344 * * [simplify]: Extracting #2: cost 6 inf + 0 227.345 * * [simplify]: Extracting #3: cost 10 inf + 0 227.345 * * [simplify]: Extracting #4: cost 16 inf + 0 227.345 * * [simplify]: Extracting #5: cost 101 inf + 0 227.345 * * [simplify]: Extracting #6: cost 245 inf + 2 227.346 * * [simplify]: Extracting #7: cost 260 inf + 4809 227.350 * * [simplify]: Extracting #8: cost 166 inf + 24522 227.360 * * [simplify]: Extracting #9: cost 32 inf + 67690 227.375 * * [simplify]: Extracting #10: cost 1 inf + 83354 227.391 * * [simplify]: Extracting #11: cost 0 inf + 83846 227.407 * * [simplify]: Extracting #12: cost 0 inf + 83425 227.431 * * [simplify]: Extracting #13: cost 0 inf + 83345 227.463 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 227.464 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 227.465 * * * * [progress]: [ 505 / 4754 ] simplifiying candidate # 227.465 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 227.466 * * [simplify]: iters left: 6 (40 enodes) 227.488 * * [simplify]: iters left: 5 (203 enodes) 227.537 * * [simplify]: Extracting #0: cost 1 inf + 0 227.537 * * [simplify]: Extracting #1: cost 3 inf + 0 227.537 * * [simplify]: Extracting #2: cost 6 inf + 0 227.537 * * [simplify]: Extracting #3: cost 10 inf + 0 227.537 * * [simplify]: Extracting #4: cost 19 inf + 0 227.537 * * [simplify]: Extracting #5: cost 108 inf + 0 227.538 * * [simplify]: Extracting #6: cost 246 inf + 0 227.540 * * [simplify]: Extracting #7: cost 262 inf + 6490 227.550 * * [simplify]: Extracting #8: cost 184 inf + 19596 227.562 * * [simplify]: Extracting #9: cost 50 inf + 59984 227.575 * * [simplify]: Extracting #10: cost 9 inf + 72738 227.590 * * [simplify]: Extracting #11: cost 2 inf + 78100 227.618 * * [simplify]: Extracting #12: cost 0 inf + 80270 227.648 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 227.648 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 227.649 * * * * [progress]: [ 506 / 4754 ] simplifiying candidate # 227.650 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 227.651 * * [simplify]: iters left: 6 (42 enodes) 227.675 * * [simplify]: iters left: 5 (214 enodes) 227.774 * * [simplify]: Extracting #0: cost 1 inf + 0 227.775 * * [simplify]: Extracting #1: cost 3 inf + 0 227.775 * * [simplify]: Extracting #2: cost 6 inf + 0 227.775 * * [simplify]: Extracting #3: cost 10 inf + 0 227.775 * * [simplify]: Extracting #4: cost 20 inf + 0 227.775 * * [simplify]: Extracting #5: cost 125 inf + 0 227.776 * * [simplify]: Extracting #6: cost 236 inf + 1 227.778 * * [simplify]: Extracting #7: cost 295 inf + 777 227.782 * * [simplify]: Extracting #8: cost 234 inf + 15442 227.795 * * [simplify]: Extracting #9: cost 146 inf + 40874 227.824 * * [simplify]: Extracting #10: cost 28 inf + 88253 227.843 * * [simplify]: Extracting #11: cost 2 inf + 104892 227.864 * * [simplify]: Extracting #12: cost 0 inf + 107862 227.893 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 227.893 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 227.893 * * * * [progress]: [ 507 / 4754 ] simplifiying candidate # 227.894 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 227.894 * * [simplify]: iters left: 6 (43 enodes) 227.906 * * [simplify]: iters left: 5 (219 enodes) 227.973 * * [simplify]: Extracting #0: cost 1 inf + 0 227.973 * * [simplify]: Extracting #1: cost 3 inf + 0 227.973 * * [simplify]: Extracting #2: cost 6 inf + 0 227.973 * * [simplify]: Extracting #3: cost 10 inf + 0 227.973 * * [simplify]: Extracting #4: cost 20 inf + 0 227.973 * * [simplify]: Extracting #5: cost 124 inf + 0 227.973 * * [simplify]: Extracting #6: cost 248 inf + 1 227.974 * * [simplify]: Extracting #7: cost 298 inf + 1349 227.977 * * [simplify]: Extracting #8: cost 236 inf + 14287 227.982 * * [simplify]: Extracting #9: cost 164 inf + 33980 228.005 * * [simplify]: Extracting #10: cost 31 inf + 86060 228.038 * * [simplify]: Extracting #11: cost 4 inf + 101412 228.059 * * [simplify]: Extracting #12: cost 1 inf + 105727 228.098 * * [simplify]: Extracting #13: cost 0 inf + 107312 228.137 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 228.137 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 228.138 * * * * [progress]: [ 508 / 4754 ] simplifiying candidate # 228.139 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 228.140 * * [simplify]: iters left: 6 (43 enodes) 228.166 * * [simplify]: iters left: 5 (220 enodes) 228.269 * * [simplify]: Extracting #0: cost 1 inf + 0 228.269 * * [simplify]: Extracting #1: cost 3 inf + 0 228.269 * * [simplify]: Extracting #2: cost 6 inf + 0 228.269 * * [simplify]: Extracting #3: cost 10 inf + 0 228.269 * * [simplify]: Extracting #4: cost 20 inf + 0 228.270 * * [simplify]: Extracting #5: cost 126 inf + 0 228.271 * * [simplify]: Extracting #6: cost 257 inf + 1 228.273 * * [simplify]: Extracting #7: cost 298 inf + 1712 228.279 * * [simplify]: Extracting #8: cost 227 inf + 18712 228.292 * * [simplify]: Extracting #9: cost 133 inf + 45814 228.328 * * [simplify]: Extracting #10: cost 15 inf + 98246 228.348 * * [simplify]: Extracting #11: cost 4 inf + 103461 228.371 * * [simplify]: Extracting #12: cost 1 inf + 108016 228.412 * * [simplify]: Extracting #13: cost 0 inf + 109761 228.436 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) 228.436 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 228.437 * * * * [progress]: [ 509 / 4754 ] simplifiying candidate # 228.437 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 228.437 * * [simplify]: iters left: 6 (43 enodes) 228.449 * * [simplify]: iters left: 5 (222 enodes) 228.557 * * [simplify]: Extracting #0: cost 1 inf + 0 228.557 * * [simplify]: Extracting #1: cost 3 inf + 0 228.557 * * [simplify]: Extracting #2: cost 6 inf + 0 228.557 * * [simplify]: Extracting #3: cost 10 inf + 0 228.557 * * [simplify]: Extracting #4: cost 20 inf + 0 228.557 * * [simplify]: Extracting #5: cost 128 inf + 0 228.558 * * [simplify]: Extracting #6: cost 247 inf + 44 228.560 * * [simplify]: Extracting #7: cost 278 inf + 1880 228.566 * * [simplify]: Extracting #8: cost 210 inf + 27698 228.582 * * [simplify]: Extracting #9: cost 106 inf + 67595 228.617 * * [simplify]: Extracting #10: cost 17 inf + 102889 228.638 * * [simplify]: Extracting #11: cost 0 inf + 103331 228.662 * * [simplify]: Extracting #12: cost 0 inf + 100931 228.692 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 228.692 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 228.693 * * * * [progress]: [ 510 / 4754 ] simplifiying candidate # 228.693 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 228.693 * * [simplify]: iters left: 6 (36 enodes) 228.703 * * [simplify]: iters left: 5 (177 enodes) 228.762 * * [simplify]: Extracting #0: cost 1 inf + 0 228.762 * * [simplify]: Extracting #1: cost 4 inf + 0 228.762 * * [simplify]: Extracting #2: cost 7 inf + 0 228.762 * * [simplify]: Extracting #3: cost 14 inf + 0 228.762 * * [simplify]: Extracting #4: cost 82 inf + 0 228.763 * * [simplify]: Extracting #5: cost 164 inf + 42 228.764 * * [simplify]: Extracting #6: cost 211 inf + 207 228.767 * * [simplify]: Extracting #7: cost 171 inf + 14041 228.778 * * [simplify]: Extracting #8: cost 85 inf + 44819 228.798 * * [simplify]: Extracting #9: cost 29 inf + 51503 228.810 * * [simplify]: Extracting #10: cost 5 inf + 63167 228.822 * * [simplify]: Extracting #11: cost 1 inf + 67747 228.836 * * [simplify]: Extracting #12: cost 0 inf + 68932 228.861 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 228.861 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 228.861 * * * * [progress]: [ 511 / 4754 ] simplifiying candidate # 228.862 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 228.862 * * [simplify]: iters left: 6 (42 enodes) 228.874 * * [simplify]: iters left: 5 (213 enodes) 228.957 * * [simplify]: Extracting #0: cost 1 inf + 0 228.957 * * [simplify]: Extracting #1: cost 3 inf + 0 228.957 * * [simplify]: Extracting #2: cost 6 inf + 0 228.957 * * [simplify]: Extracting #3: cost 10 inf + 0 228.957 * * [simplify]: Extracting #4: cost 24 inf + 0 228.958 * * [simplify]: Extracting #5: cost 133 inf + 0 228.959 * * [simplify]: Extracting #6: cost 233 inf + 44 228.961 * * [simplify]: Extracting #7: cost 264 inf + 1718 228.965 * * [simplify]: Extracting #8: cost 216 inf + 13360 228.976 * * [simplify]: Extracting #9: cost 119 inf + 42616 229.001 * * [simplify]: Extracting #10: cost 26 inf + 76415 229.024 * * [simplify]: Extracting #11: cost 2 inf + 91733 229.045 * * [simplify]: Extracting #12: cost 0 inf + 94063 229.074 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2)))))))) 229.074 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 229.075 * * * * [progress]: [ 512 / 4754 ] simplifiying candidate # 229.075 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 229.076 * * [simplify]: iters left: 6 (40 enodes) 229.098 * * [simplify]: iters left: 5 (193 enodes) 229.145 * * [simplify]: Extracting #0: cost 1 inf + 0 229.145 * * [simplify]: Extracting #1: cost 4 inf + 0 229.145 * * [simplify]: Extracting #2: cost 7 inf + 0 229.145 * * [simplify]: Extracting #3: cost 14 inf + 0 229.146 * * [simplify]: Extracting #4: cost 85 inf + 0 229.146 * * [simplify]: Extracting #5: cost 172 inf + 42 229.147 * * [simplify]: Extracting #6: cost 219 inf + 207 229.148 * * [simplify]: Extracting #7: cost 167 inf + 18504 229.158 * * [simplify]: Extracting #8: cost 57 inf + 56157 229.181 * * [simplify]: Extracting #9: cost 4 inf + 69932 229.207 * * [simplify]: Extracting #10: cost 0 inf + 72320 229.237 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 229.237 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 229.238 * * * * [progress]: [ 513 / 4754 ] simplifiying candidate # 229.239 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 229.240 * * [simplify]: iters left: 6 (42 enodes) 229.264 * * [simplify]: iters left: 5 (214 enodes) 229.330 * * [simplify]: Extracting #0: cost 1 inf + 0 229.330 * * [simplify]: Extracting #1: cost 3 inf + 0 229.330 * * [simplify]: Extracting #2: cost 6 inf + 0 229.330 * * [simplify]: Extracting #3: cost 10 inf + 0 229.331 * * [simplify]: Extracting #4: cost 24 inf + 0 229.331 * * [simplify]: Extracting #5: cost 131 inf + 0 229.331 * * [simplify]: Extracting #6: cost 237 inf + 44 229.332 * * [simplify]: Extracting #7: cost 269 inf + 1797 229.335 * * [simplify]: Extracting #8: cost 198 inf + 25375 229.344 * * [simplify]: Extracting #9: cost 72 inf + 74608 229.365 * * [simplify]: Extracting #10: cost 15 inf + 83636 229.395 * * [simplify]: Extracting #11: cost 2 inf + 93105 229.414 * * [simplify]: Extracting #12: cost 0 inf + 95515 229.446 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 229.446 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 229.447 * * * * [progress]: [ 514 / 4754 ] simplifiying candidate # 229.448 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 229.449 * * [simplify]: iters left: 6 (47 enodes) 229.475 * * [simplify]: iters left: 5 (244 enodes) 229.553 * * [simplify]: Extracting #0: cost 1 inf + 0 229.553 * * [simplify]: Extracting #1: cost 3 inf + 0 229.553 * * [simplify]: Extracting #2: cost 6 inf + 0 229.553 * * [simplify]: Extracting #3: cost 10 inf + 0 229.553 * * [simplify]: Extracting #4: cost 20 inf + 0 229.553 * * [simplify]: Extracting #5: cost 132 inf + 0 229.554 * * [simplify]: Extracting #6: cost 284 inf + 1 229.555 * * [simplify]: Extracting #7: cost 345 inf + 1512 229.559 * * [simplify]: Extracting #8: cost 225 inf + 23526 229.570 * * [simplify]: Extracting #9: cost 128 inf + 62511 229.594 * * [simplify]: Extracting #10: cost 16 inf + 115214 229.619 * * [simplify]: Extracting #11: cost 0 inf + 130471 229.644 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (- phi1 phi2)))))))) 229.644 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 229.645 * * * * [progress]: [ 515 / 4754 ] simplifiying candidate # 229.646 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 229.646 * * [simplify]: iters left: 6 (48 enodes) 229.660 * * [simplify]: iters left: 5 (252 enodes) 229.746 * * [simplify]: Extracting #0: cost 1 inf + 0 229.746 * * [simplify]: Extracting #1: cost 3 inf + 0 229.746 * * [simplify]: Extracting #2: cost 6 inf + 0 229.746 * * [simplify]: Extracting #3: cost 10 inf + 0 229.746 * * [simplify]: Extracting #4: cost 20 inf + 0 229.746 * * [simplify]: Extracting #5: cost 135 inf + 0 229.748 * * [simplify]: Extracting #6: cost 304 inf + 1 229.750 * * [simplify]: Extracting #7: cost 361 inf + 1314 229.761 * * [simplify]: Extracting #8: cost 212 inf + 39333 229.795 * * [simplify]: Extracting #9: cost 58 inf + 102765 229.833 * * [simplify]: Extracting #10: cost 2 inf + 129033 229.861 * * [simplify]: Extracting #11: cost 0 inf + 131530 229.887 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 229.887 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 229.888 * * * * [progress]: [ 516 / 4754 ] simplifiying candidate # 229.888 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 229.889 * * [simplify]: iters left: 6 (48 enodes) 229.903 * * [simplify]: iters left: 5 (252 enodes) 229.999 * * [simplify]: Extracting #0: cost 1 inf + 0 229.999 * * [simplify]: Extracting #1: cost 3 inf + 0 229.999 * * [simplify]: Extracting #2: cost 6 inf + 0 229.999 * * [simplify]: Extracting #3: cost 10 inf + 0 229.999 * * [simplify]: Extracting #4: cost 20 inf + 0 229.999 * * [simplify]: Extracting #5: cost 138 inf + 0 230.000 * * [simplify]: Extracting #6: cost 307 inf + 1 230.002 * * [simplify]: Extracting #7: cost 360 inf + 1069 230.011 * * [simplify]: Extracting #8: cost 188 inf + 45196 230.035 * * [simplify]: Extracting #9: cost 41 inf + 104056 230.060 * * [simplify]: Extracting #10: cost 3 inf + 126988 230.108 * * [simplify]: Extracting #11: cost 0 inf + 130090 230.157 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) 230.157 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 230.159 * * * * [progress]: [ 517 / 4754 ] simplifiying candidate # 230.159 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 230.160 * * [simplify]: iters left: 6 (48 enodes) 230.183 * * [simplify]: iters left: 5 (250 enodes) 230.276 * * [simplify]: Extracting #0: cost 1 inf + 0 230.276 * * [simplify]: Extracting #1: cost 3 inf + 0 230.276 * * [simplify]: Extracting #2: cost 6 inf + 0 230.276 * * [simplify]: Extracting #3: cost 10 inf + 0 230.276 * * [simplify]: Extracting #4: cost 22 inf + 0 230.276 * * [simplify]: Extracting #5: cost 137 inf + 0 230.277 * * [simplify]: Extracting #6: cost 286 inf + 126 230.280 * * [simplify]: Extracting #7: cost 322 inf + 2050 230.289 * * [simplify]: Extracting #8: cost 181 inf + 34429 230.320 * * [simplify]: Extracting #9: cost 43 inf + 96337 230.362 * * [simplify]: Extracting #10: cost 5 inf + 117264 230.393 * * [simplify]: Extracting #11: cost 0 inf + 118826 230.430 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 230.430 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 230.431 * * * * [progress]: [ 518 / 4754 ] simplifiying candidate # 230.432 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 230.432 * * [simplify]: iters left: 6 (45 enodes) 230.447 * * [simplify]: iters left: 5 (236 enodes) 230.541 * * [simplify]: Extracting #0: cost 1 inf + 0 230.541 * * [simplify]: Extracting #1: cost 3 inf + 0 230.541 * * [simplify]: Extracting #2: cost 6 inf + 0 230.542 * * [simplify]: Extracting #3: cost 10 inf + 0 230.542 * * [simplify]: Extracting #4: cost 24 inf + 0 230.542 * * [simplify]: Extracting #5: cost 135 inf + 0 230.543 * * [simplify]: Extracting #6: cost 265 inf + 1 230.545 * * [simplify]: Extracting #7: cost 307 inf + 1232 230.551 * * [simplify]: Extracting #8: cost 153 inf + 41760 230.568 * * [simplify]: Extracting #9: cost 36 inf + 94288 230.608 * * [simplify]: Extracting #10: cost 8 inf + 111450 230.655 * * [simplify]: Extracting #11: cost 0 inf + 116685 230.699 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 230.699 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 230.701 * * * * [progress]: [ 519 / 4754 ] simplifiying candidate # 230.701 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 230.702 * * [simplify]: iters left: 6 (47 enodes) 230.721 * * [simplify]: iters left: 5 (246 enodes) 230.793 * * [simplify]: Extracting #0: cost 1 inf + 0 230.793 * * [simplify]: Extracting #1: cost 3 inf + 0 230.793 * * [simplify]: Extracting #2: cost 6 inf + 0 230.793 * * [simplify]: Extracting #3: cost 10 inf + 0 230.793 * * [simplify]: Extracting #4: cost 24 inf + 0 230.793 * * [simplify]: Extracting #5: cost 144 inf + 0 230.794 * * [simplify]: Extracting #6: cost 283 inf + 44 230.795 * * [simplify]: Extracting #7: cost 317 inf + 2171 230.800 * * [simplify]: Extracting #8: cost 188 inf + 28643 230.809 * * [simplify]: Extracting #9: cost 114 inf + 53205 230.841 * * [simplify]: Extracting #10: cost 24 inf + 93145 230.878 * * [simplify]: Extracting #11: cost 3 inf + 105456 230.901 * * [simplify]: Extracting #12: cost 0 inf + 110531 230.927 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) 230.927 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 230.928 * * * * [progress]: [ 520 / 4754 ] simplifiying candidate # 230.929 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 230.929 * * [simplify]: iters left: 6 (46 enodes) 230.955 * * [simplify]: iters left: 5 (238 enodes) 231.066 * * [simplify]: Extracting #0: cost 1 inf + 0 231.066 * * [simplify]: Extracting #1: cost 3 inf + 0 231.066 * * [simplify]: Extracting #2: cost 6 inf + 0 231.066 * * [simplify]: Extracting #3: cost 10 inf + 0 231.066 * * [simplify]: Extracting #4: cost 24 inf + 0 231.067 * * [simplify]: Extracting #5: cost 136 inf + 0 231.068 * * [simplify]: Extracting #6: cost 266 inf + 1 231.070 * * [simplify]: Extracting #7: cost 315 inf + 621 231.079 * * [simplify]: Extracting #8: cost 192 inf + 29267 231.109 * * [simplify]: Extracting #9: cost 45 inf + 90150 231.152 * * [simplify]: Extracting #10: cost 4 inf + 113844 231.199 * * [simplify]: Extracting #11: cost 0 inf + 117809 231.240 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 231.240 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 231.241 * * * * [progress]: [ 521 / 4754 ] simplifiying candidate # 231.241 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 231.241 * * [simplify]: iters left: 6 (47 enodes) 231.254 * * [simplify]: iters left: 5 (246 enodes) 231.353 * * [simplify]: Extracting #0: cost 1 inf + 0 231.353 * * [simplify]: Extracting #1: cost 3 inf + 0 231.353 * * [simplify]: Extracting #2: cost 6 inf + 0 231.353 * * [simplify]: Extracting #3: cost 10 inf + 0 231.353 * * [simplify]: Extracting #4: cost 24 inf + 0 231.353 * * [simplify]: Extracting #5: cost 143 inf + 0 231.354 * * [simplify]: Extracting #6: cost 284 inf + 44 231.355 * * [simplify]: Extracting #7: cost 318 inf + 2171 231.360 * * [simplify]: Extracting #8: cost 191 inf + 28037 231.369 * * [simplify]: Extracting #9: cost 109 inf + 55813 231.396 * * [simplify]: Extracting #10: cost 27 inf + 91290 231.427 * * [simplify]: Extracting #11: cost 3 inf + 106020 231.452 * * [simplify]: Extracting #12: cost 0 inf + 111095 231.486 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) 231.487 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 231.487 * * * * [progress]: [ 522 / 4754 ] simplifiying candidate # 231.488 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 231.488 * * [simplify]: iters left: 6 (47 enodes) 231.501 * * [simplify]: iters left: 5 (243 enodes) 231.585 * * [simplify]: Extracting #0: cost 1 inf + 0 231.585 * * [simplify]: Extracting #1: cost 3 inf + 0 231.585 * * [simplify]: Extracting #2: cost 6 inf + 0 231.585 * * [simplify]: Extracting #3: cost 10 inf + 0 231.585 * * [simplify]: Extracting #4: cost 20 inf + 0 231.585 * * [simplify]: Extracting #5: cost 132 inf + 0 231.587 * * [simplify]: Extracting #6: cost 285 inf + 1 231.589 * * [simplify]: Extracting #7: cost 344 inf + 866 231.599 * * [simplify]: Extracting #8: cost 228 inf + 25909 231.626 * * [simplify]: Extracting #9: cost 90 inf + 79641 231.673 * * [simplify]: Extracting #10: cost 14 inf + 117184 231.714 * * [simplify]: Extracting #11: cost 1 inf + 127493 231.743 * * [simplify]: Extracting #12: cost 0 inf + 129198 231.787 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 231.787 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 231.787 * * * * [progress]: [ 523 / 4754 ] simplifiying candidate # 231.788 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 231.788 * * [simplify]: iters left: 6 (48 enodes) 231.801 * * [simplify]: iters left: 5 (251 enodes) 231.914 * * [simplify]: Extracting #0: cost 1 inf + 0 231.915 * * [simplify]: Extracting #1: cost 3 inf + 0 231.915 * * [simplify]: Extracting #2: cost 6 inf + 0 231.915 * * [simplify]: Extracting #3: cost 10 inf + 0 231.915 * * [simplify]: Extracting #4: cost 20 inf + 0 231.915 * * [simplify]: Extracting #5: cost 135 inf + 0 231.916 * * [simplify]: Extracting #6: cost 305 inf + 1 231.919 * * [simplify]: Extracting #7: cost 356 inf + 1275 231.932 * * [simplify]: Extracting #8: cost 186 inf + 46536 231.957 * * [simplify]: Extracting #9: cost 33 inf + 110084 231.990 * * [simplify]: Extracting #10: cost 6 inf + 122440 232.036 * * [simplify]: Extracting #11: cost 1 inf + 129112 232.086 * * [simplify]: Extracting #12: cost 0 inf + 130857 232.114 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 232.115 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 232.115 * * * * [progress]: [ 524 / 4754 ] simplifiying candidate # 232.116 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 232.116 * * [simplify]: iters left: 6 (48 enodes) 232.136 * * [simplify]: iters left: 5 (251 enodes) 232.241 * * [simplify]: Extracting #0: cost 1 inf + 0 232.241 * * [simplify]: Extracting #1: cost 3 inf + 0 232.241 * * [simplify]: Extracting #2: cost 6 inf + 0 232.241 * * [simplify]: Extracting #3: cost 10 inf + 0 232.241 * * [simplify]: Extracting #4: cost 20 inf + 0 232.241 * * [simplify]: Extracting #5: cost 138 inf + 0 232.243 * * [simplify]: Extracting #6: cost 307 inf + 1 232.245 * * [simplify]: Extracting #7: cost 353 inf + 1433 232.260 * * [simplify]: Extracting #8: cost 178 inf + 46892 232.281 * * [simplify]: Extracting #9: cost 34 inf + 107756 232.319 * * [simplify]: Extracting #10: cost 3 inf + 126804 232.367 * * [simplify]: Extracting #11: cost 0 inf + 128973 232.392 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 232.392 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 232.393 * * * * [progress]: [ 525 / 4754 ] simplifiying candidate # 232.393 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 232.394 * * [simplify]: iters left: 6 (48 enodes) 232.409 * * [simplify]: iters left: 5 (249 enodes) 232.478 * * [simplify]: Extracting #0: cost 1 inf + 0 232.478 * * [simplify]: Extracting #1: cost 3 inf + 0 232.478 * * [simplify]: Extracting #2: cost 6 inf + 0 232.478 * * [simplify]: Extracting #3: cost 10 inf + 0 232.478 * * [simplify]: Extracting #4: cost 22 inf + 0 232.478 * * [simplify]: Extracting #5: cost 137 inf + 0 232.479 * * [simplify]: Extracting #6: cost 287 inf + 44 232.480 * * [simplify]: Extracting #7: cost 320 inf + 1564 232.484 * * [simplify]: Extracting #8: cost 219 inf + 20199 232.506 * * [simplify]: Extracting #9: cost 112 inf + 57021 232.525 * * [simplify]: Extracting #10: cost 24 inf + 100472 232.552 * * [simplify]: Extracting #11: cost 0 inf + 115368 232.594 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 232.594 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 232.595 * * * * [progress]: [ 526 / 4754 ] simplifiying candidate # 232.596 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 232.596 * * [simplify]: iters left: 6 (45 enodes) 232.615 * * [simplify]: iters left: 5 (233 enodes) 232.701 * * [simplify]: Extracting #0: cost 1 inf + 0 232.701 * * [simplify]: Extracting #1: cost 3 inf + 0 232.701 * * [simplify]: Extracting #2: cost 6 inf + 0 232.701 * * [simplify]: Extracting #3: cost 10 inf + 0 232.701 * * [simplify]: Extracting #4: cost 24 inf + 0 232.702 * * [simplify]: Extracting #5: cost 136 inf + 0 232.703 * * [simplify]: Extracting #6: cost 260 inf + 1 232.705 * * [simplify]: Extracting #7: cost 304 inf + 580 232.710 * * [simplify]: Extracting #8: cost 217 inf + 14369 232.724 * * [simplify]: Extracting #9: cost 130 inf + 42052 232.758 * * [simplify]: Extracting #10: cost 32 inf + 88824 232.795 * * [simplify]: Extracting #11: cost 4 inf + 105700 232.816 * * [simplify]: Extracting #12: cost 2 inf + 108830 232.849 * * [simplify]: Extracting #13: cost 0 inf + 111960 232.874 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 232.874 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 232.875 * * * * [progress]: [ 527 / 4754 ] simplifiying candidate # 232.876 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 232.876 * * [simplify]: iters left: 6 (47 enodes) 232.892 * * [simplify]: iters left: 5 (245 enodes) 233.007 * * [simplify]: Extracting #0: cost 1 inf + 0 233.007 * * [simplify]: Extracting #1: cost 3 inf + 0 233.007 * * [simplify]: Extracting #2: cost 6 inf + 0 233.007 * * [simplify]: Extracting #3: cost 10 inf + 0 233.007 * * [simplify]: Extracting #4: cost 24 inf + 0 233.008 * * [simplify]: Extracting #5: cost 144 inf + 0 233.009 * * [simplify]: Extracting #6: cost 285 inf + 44 233.010 * * [simplify]: Extracting #7: cost 314 inf + 2091 233.016 * * [simplify]: Extracting #8: cost 168 inf + 35757 233.030 * * [simplify]: Extracting #9: cost 42 inf + 85868 233.061 * * [simplify]: Extracting #10: cost 14 inf + 97933 233.099 * * [simplify]: Extracting #11: cost 3 inf + 104688 233.142 * * [simplify]: Extracting #12: cost 1 inf + 107978 233.171 * * [simplify]: Extracting #13: cost 0 inf + 109643 233.192 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 233.192 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 233.192 * * * * [progress]: [ 528 / 4754 ] simplifiying candidate # 233.193 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 233.193 * * [simplify]: iters left: 6 (46 enodes) 233.205 * * [simplify]: iters left: 5 (236 enodes) 233.290 * * [simplify]: Extracting #0: cost 1 inf + 0 233.290 * * [simplify]: Extracting #1: cost 3 inf + 0 233.290 * * [simplify]: Extracting #2: cost 6 inf + 0 233.290 * * [simplify]: Extracting #3: cost 10 inf + 0 233.290 * * [simplify]: Extracting #4: cost 24 inf + 0 233.290 * * [simplify]: Extracting #5: cost 136 inf + 0 233.292 * * [simplify]: Extracting #6: cost 260 inf + 1 233.294 * * [simplify]: Extracting #7: cost 302 inf + 662 233.298 * * [simplify]: Extracting #8: cost 216 inf + 16612 233.307 * * [simplify]: Extracting #9: cost 120 inf + 50324 233.323 * * [simplify]: Extracting #10: cost 22 inf + 90336 233.349 * * [simplify]: Extracting #11: cost 4 inf + 105660 233.386 * * [simplify]: Extracting #12: cost 0 inf + 110760 233.407 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 233.407 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 233.408 * * * * [progress]: [ 529 / 4754 ] simplifiying candidate # 233.408 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 233.409 * * [simplify]: iters left: 6 (47 enodes) 233.427 * * [simplify]: iters left: 5 (245 enodes) 233.493 * * [simplify]: Extracting #0: cost 1 inf + 0 233.493 * * [simplify]: Extracting #1: cost 3 inf + 0 233.493 * * [simplify]: Extracting #2: cost 6 inf + 0 233.493 * * [simplify]: Extracting #3: cost 10 inf + 0 233.493 * * [simplify]: Extracting #4: cost 24 inf + 0 233.494 * * [simplify]: Extracting #5: cost 143 inf + 0 233.494 * * [simplify]: Extracting #6: cost 285 inf + 44 233.496 * * [simplify]: Extracting #7: cost 313 inf + 2295 233.501 * * [simplify]: Extracting #8: cost 166 inf + 36365 233.516 * * [simplify]: Extracting #9: cost 45 inf + 84193 233.537 * * [simplify]: Extracting #10: cost 15 inf + 98041 233.558 * * [simplify]: Extracting #11: cost 3 inf + 105008 233.588 * * [simplify]: Extracting #12: cost 1 inf + 108298 233.628 * * [simplify]: Extracting #13: cost 0 inf + 109963 233.670 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 233.670 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 233.671 * * * * [progress]: [ 530 / 4754 ] simplifiying candidate # 233.672 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 233.672 * * [simplify]: iters left: 6 (47 enodes) 233.698 * * [simplify]: iters left: 5 (248 enodes) 233.790 * * [simplify]: Extracting #0: cost 1 inf + 0 233.790 * * [simplify]: Extracting #1: cost 3 inf + 0 233.790 * * [simplify]: Extracting #2: cost 6 inf + 0 233.790 * * [simplify]: Extracting #3: cost 10 inf + 0 233.790 * * [simplify]: Extracting #4: cost 20 inf + 0 233.790 * * [simplify]: Extracting #5: cost 138 inf + 0 233.791 * * [simplify]: Extracting #6: cost 303 inf + 1 233.792 * * [simplify]: Extracting #7: cost 352 inf + 990 233.799 * * [simplify]: Extracting #8: cost 193 inf + 44395 233.823 * * [simplify]: Extracting #9: cost 32 inf + 105458 233.845 * * [simplify]: Extracting #10: cost 6 inf + 117923 233.884 * * [simplify]: Extracting #11: cost 0 inf + 123167 233.908 * * [simplify]: Extracting #12: cost 0 inf + 122847 233.949 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 233.949 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 233.950 * * * * [progress]: [ 531 / 4754 ] simplifiying candidate # 233.951 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 233.951 * * [simplify]: iters left: 6 (48 enodes) 233.978 * * [simplify]: iters left: 5 (252 enodes) 234.080 * * [simplify]: Extracting #0: cost 1 inf + 0 234.080 * * [simplify]: Extracting #1: cost 3 inf + 0 234.080 * * [simplify]: Extracting #2: cost 6 inf + 0 234.080 * * [simplify]: Extracting #3: cost 10 inf + 0 234.081 * * [simplify]: Extracting #4: cost 20 inf + 0 234.081 * * [simplify]: Extracting #5: cost 135 inf + 0 234.083 * * [simplify]: Extracting #6: cost 304 inf + 1 234.085 * * [simplify]: Extracting #7: cost 342 inf + 1925 234.093 * * [simplify]: Extracting #8: cost 179 inf + 44153 234.116 * * [simplify]: Extracting #9: cost 25 inf + 104054 234.139 * * [simplify]: Extracting #10: cost 10 inf + 109418 234.160 * * [simplify]: Extracting #11: cost 1 inf + 116658 234.193 * * [simplify]: Extracting #12: cost 0 inf + 118403 234.228 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 234.228 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 234.229 * * * * [progress]: [ 532 / 4754 ] simplifiying candidate # 234.230 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 234.230 * * [simplify]: iters left: 6 (48 enodes) 234.244 * * [simplify]: iters left: 5 (252 enodes) 234.358 * * [simplify]: Extracting #0: cost 1 inf + 0 234.358 * * [simplify]: Extracting #1: cost 3 inf + 0 234.358 * * [simplify]: Extracting #2: cost 6 inf + 0 234.358 * * [simplify]: Extracting #3: cost 10 inf + 0 234.358 * * [simplify]: Extracting #4: cost 20 inf + 0 234.358 * * [simplify]: Extracting #5: cost 138 inf + 0 234.359 * * [simplify]: Extracting #6: cost 306 inf + 1 234.360 * * [simplify]: Extracting #7: cost 338 inf + 1968 234.364 * * [simplify]: Extracting #8: cost 237 inf + 18304 234.374 * * [simplify]: Extracting #9: cost 122 inf + 58919 234.400 * * [simplify]: Extracting #10: cost 13 inf + 104827 234.426 * * [simplify]: Extracting #11: cost 1 inf + 115012 234.460 * * [simplify]: Extracting #12: cost 0 inf + 116757 234.487 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 234.487 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 234.488 * * * * [progress]: [ 533 / 4754 ] simplifiying candidate # 234.489 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 234.490 * * [simplify]: iters left: 6 (48 enodes) 234.506 * * [simplify]: iters left: 5 (254 enodes) 234.587 * * [simplify]: Extracting #0: cost 1 inf + 0 234.587 * * [simplify]: Extracting #1: cost 3 inf + 0 234.587 * * [simplify]: Extracting #2: cost 6 inf + 0 234.587 * * [simplify]: Extracting #3: cost 10 inf + 0 234.587 * * [simplify]: Extracting #4: cost 20 inf + 0 234.588 * * [simplify]: Extracting #5: cost 140 inf + 0 234.589 * * [simplify]: Extracting #6: cost 299 inf + 44 234.592 * * [simplify]: Extracting #7: cost 307 inf + 4248 234.605 * * [simplify]: Extracting #8: cost 170 inf + 37420 234.633 * * [simplify]: Extracting #9: cost 48 inf + 85670 234.657 * * [simplify]: Extracting #10: cost 8 inf + 106016 234.695 * * [simplify]: Extracting #11: cost 0 inf + 108465 234.735 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) 234.735 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 234.736 * * * * [progress]: [ 534 / 4754 ] simplifiying candidate # 234.736 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 234.737 * * [simplify]: iters left: 6 (45 enodes) 234.762 * * [simplify]: iters left: 5 (236 enodes) 234.849 * * [simplify]: Extracting #0: cost 1 inf + 0 234.849 * * [simplify]: Extracting #1: cost 3 inf + 0 234.849 * * [simplify]: Extracting #2: cost 6 inf + 0 234.849 * * [simplify]: Extracting #3: cost 10 inf + 0 234.849 * * [simplify]: Extracting #4: cost 24 inf + 0 234.850 * * [simplify]: Extracting #5: cost 145 inf + 0 234.851 * * [simplify]: Extracting #6: cost 275 inf + 1 234.853 * * [simplify]: Extracting #7: cost 311 inf + 662 234.861 * * [simplify]: Extracting #8: cost 185 inf + 28041 234.889 * * [simplify]: Extracting #9: cost 43 inf + 83463 234.919 * * [simplify]: Extracting #10: cost 4 inf + 104707 234.953 * * [simplify]: Extracting #11: cost 0 inf + 108421 234.991 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 234.991 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 234.992 * * * * [progress]: [ 535 / 4754 ] simplifiying candidate # 234.993 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 234.993 * * [simplify]: iters left: 6 (47 enodes) 235.019 * * [simplify]: iters left: 5 (246 enodes) 235.105 * * [simplify]: Extracting #0: cost 1 inf + 0 235.105 * * [simplify]: Extracting #1: cost 3 inf + 0 235.105 * * [simplify]: Extracting #2: cost 6 inf + 0 235.106 * * [simplify]: Extracting #3: cost 10 inf + 0 235.106 * * [simplify]: Extracting #4: cost 24 inf + 0 235.106 * * [simplify]: Extracting #5: cost 146 inf + 0 235.107 * * [simplify]: Extracting #6: cost 285 inf + 44 235.110 * * [simplify]: Extracting #7: cost 304 inf + 2502 235.120 * * [simplify]: Extracting #8: cost 178 inf + 29627 235.148 * * [simplify]: Extracting #9: cost 43 inf + 79304 235.182 * * [simplify]: Extracting #10: cost 9 inf + 94553 235.222 * * [simplify]: Extracting #11: cost 1 inf + 100221 235.259 * * [simplify]: Extracting #12: cost 0 inf + 101886 235.281 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) 235.281 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 235.281 * * * * [progress]: [ 536 / 4754 ] simplifiying candidate # 235.282 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 235.282 * * [simplify]: iters left: 6 (46 enodes) 235.296 * * [simplify]: iters left: 5 (238 enodes) 235.384 * * [simplify]: Extracting #0: cost 1 inf + 0 235.384 * * [simplify]: Extracting #1: cost 3 inf + 0 235.384 * * [simplify]: Extracting #2: cost 6 inf + 0 235.384 * * [simplify]: Extracting #3: cost 10 inf + 0 235.384 * * [simplify]: Extracting #4: cost 24 inf + 0 235.384 * * [simplify]: Extracting #5: cost 146 inf + 0 235.386 * * [simplify]: Extracting #6: cost 276 inf + 1 235.387 * * [simplify]: Extracting #7: cost 311 inf + 704 235.396 * * [simplify]: Extracting #8: cost 193 inf + 25770 235.422 * * [simplify]: Extracting #9: cost 51 inf + 81259 235.464 * * [simplify]: Extracting #10: cost 6 inf + 103061 235.484 * * [simplify]: Extracting #11: cost 1 inf + 107680 235.510 * * [simplify]: Extracting #12: cost 0 inf + 109305 235.533 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2)))))))) 235.533 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 235.534 * * * * [progress]: [ 537 / 4754 ] simplifiying candidate # 235.534 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 235.535 * * [simplify]: iters left: 6 (47 enodes) 235.561 * * [simplify]: iters left: 5 (246 enodes) 235.658 * * [simplify]: Extracting #0: cost 1 inf + 0 235.658 * * [simplify]: Extracting #1: cost 3 inf + 0 235.658 * * [simplify]: Extracting #2: cost 6 inf + 0 235.658 * * [simplify]: Extracting #3: cost 10 inf + 0 235.658 * * [simplify]: Extracting #4: cost 24 inf + 0 235.658 * * [simplify]: Extracting #5: cost 145 inf + 0 235.659 * * [simplify]: Extracting #6: cost 285 inf + 44 235.660 * * [simplify]: Extracting #7: cost 303 inf + 2624 235.669 * * [simplify]: Extracting #8: cost 176 inf + 30637 235.696 * * [simplify]: Extracting #9: cost 43 inf + 79544 235.732 * * [simplify]: Extracting #10: cost 8 inf + 95938 235.753 * * [simplify]: Extracting #11: cost 1 inf + 100461 235.775 * * [simplify]: Extracting #12: cost 0 inf + 102126 235.796 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (- phi1 phi2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) 235.796 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))) (- phi1 phi2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 235.797 * * * * [progress]: [ 538 / 4754 ] simplifiying candidate # 235.797 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 235.797 * * [simplify]: iters left: 6 (45 enodes) 235.811 * * [simplify]: iters left: 5 (226 enodes) 235.908 * * [simplify]: Extracting #0: cost 1 inf + 0 235.908 * * [simplify]: Extracting #1: cost 3 inf + 0 235.909 * * [simplify]: Extracting #2: cost 6 inf + 0 235.909 * * [simplify]: Extracting #3: cost 10 inf + 0 235.909 * * [simplify]: Extracting #4: cost 20 inf + 0 235.909 * * [simplify]: Extracting #5: cost 131 inf + 0 235.910 * * [simplify]: Extracting #6: cost 265 inf + 1 235.912 * * [simplify]: Extracting #7: cost 314 inf + 1187 235.920 * * [simplify]: Extracting #8: cost 203 inf + 27149 235.950 * * [simplify]: Extracting #9: cost 73 inf + 80448 235.972 * * [simplify]: Extracting #10: cost 5 inf + 117796 236.007 * * [simplify]: Extracting #11: cost 0 inf + 119789 236.050 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 236.050 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 236.051 * * * * [progress]: [ 539 / 4754 ] simplifiying candidate # 236.052 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 236.052 * * [simplify]: iters left: 6 (46 enodes) 236.077 * * [simplify]: iters left: 5 (234 enodes) 236.183 * * [simplify]: Extracting #0: cost 1 inf + 0 236.183 * * [simplify]: Extracting #1: cost 3 inf + 0 236.183 * * [simplify]: Extracting #2: cost 6 inf + 0 236.183 * * [simplify]: Extracting #3: cost 10 inf + 0 236.183 * * [simplify]: Extracting #4: cost 20 inf + 0 236.183 * * [simplify]: Extracting #5: cost 134 inf + 0 236.185 * * [simplify]: Extracting #6: cost 284 inf + 1 236.187 * * [simplify]: Extracting #7: cost 325 inf + 1437 236.192 * * [simplify]: Extracting #8: cost 247 inf + 13480 236.206 * * [simplify]: Extracting #9: cost 154 inf + 42065 236.244 * * [simplify]: Extracting #10: cost 29 inf + 99793 236.282 * * [simplify]: Extracting #11: cost 3 inf + 116729 236.325 * * [simplify]: Extracting #12: cost 0 inf + 121244 236.368 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 236.368 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 236.369 * * * * [progress]: [ 540 / 4754 ] simplifiying candidate # 236.369 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 236.370 * * [simplify]: iters left: 6 (46 enodes) 236.397 * * [simplify]: iters left: 5 (234 enodes) 236.461 * * [simplify]: Extracting #0: cost 1 inf + 0 236.461 * * [simplify]: Extracting #1: cost 3 inf + 0 236.461 * * [simplify]: Extracting #2: cost 6 inf + 0 236.461 * * [simplify]: Extracting #3: cost 10 inf + 0 236.461 * * [simplify]: Extracting #4: cost 20 inf + 0 236.461 * * [simplify]: Extracting #5: cost 137 inf + 0 236.462 * * [simplify]: Extracting #6: cost 286 inf + 1 236.463 * * [simplify]: Extracting #7: cost 329 inf + 1021 236.466 * * [simplify]: Extracting #8: cost 260 inf + 12003 236.475 * * [simplify]: Extracting #9: cost 154 inf + 42528 236.492 * * [simplify]: Extracting #10: cost 18 inf + 107076 236.520 * * [simplify]: Extracting #11: cost 0 inf + 119280 236.562 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 236.562 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 236.563 * * * * [progress]: [ 541 / 4754 ] simplifiying candidate # 236.564 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 236.564 * * [simplify]: iters left: 6 (46 enodes) 236.589 * * [simplify]: iters left: 5 (232 enodes) 236.675 * * [simplify]: Extracting #0: cost 1 inf + 0 236.675 * * [simplify]: Extracting #1: cost 3 inf + 0 236.675 * * [simplify]: Extracting #2: cost 6 inf + 0 236.675 * * [simplify]: Extracting #3: cost 10 inf + 0 236.676 * * [simplify]: Extracting #4: cost 20 inf + 0 236.676 * * [simplify]: Extracting #5: cost 133 inf + 0 236.677 * * [simplify]: Extracting #6: cost 264 inf + 44 236.681 * * [simplify]: Extracting #7: cost 285 inf + 2411 236.689 * * [simplify]: Extracting #8: cost 197 inf + 21111 236.705 * * [simplify]: Extracting #9: cost 112 inf + 50538 236.741 * * [simplify]: Extracting #10: cost 21 inf + 92749 236.779 * * [simplify]: Extracting #11: cost 0 inf + 106804 236.817 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 236.817 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 236.818 * * * * [progress]: [ 542 / 4754 ] simplifiying candidate # 236.819 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 236.819 * * [simplify]: iters left: 6 (43 enodes) 236.838 * * [simplify]: iters left: 5 (216 enodes) 236.902 * * [simplify]: Extracting #0: cost 1 inf + 0 236.902 * * [simplify]: Extracting #1: cost 3 inf + 0 236.902 * * [simplify]: Extracting #2: cost 6 inf + 0 236.902 * * [simplify]: Extracting #3: cost 10 inf + 0 236.902 * * [simplify]: Extracting #4: cost 24 inf + 0 236.903 * * [simplify]: Extracting #5: cost 135 inf + 0 236.903 * * [simplify]: Extracting #6: cost 239 inf + 1 236.904 * * [simplify]: Extracting #7: cost 271 inf + 985 236.907 * * [simplify]: Extracting #8: cost 213 inf + 12036 236.913 * * [simplify]: Extracting #9: cost 137 inf + 33504 236.926 * * [simplify]: Extracting #10: cost 25 inf + 82748 236.954 * * [simplify]: Extracting #11: cost 3 inf + 98352 236.980 * * [simplify]: Extracting #12: cost 1 inf + 101122 237.002 * * [simplify]: Extracting #13: cost 0 inf + 102707 237.039 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 237.039 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 237.040 * * * * [progress]: [ 543 / 4754 ] simplifiying candidate # 237.040 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 237.041 * * [simplify]: iters left: 6 (45 enodes) 237.066 * * [simplify]: iters left: 5 (228 enodes) 237.167 * * [simplify]: Extracting #0: cost 1 inf + 0 237.167 * * [simplify]: Extracting #1: cost 3 inf + 0 237.167 * * [simplify]: Extracting #2: cost 6 inf + 0 237.167 * * [simplify]: Extracting #3: cost 10 inf + 0 237.167 * * [simplify]: Extracting #4: cost 24 inf + 0 237.168 * * [simplify]: Extracting #5: cost 143 inf + 0 237.168 * * [simplify]: Extracting #6: cost 265 inf + 2 237.169 * * [simplify]: Extracting #7: cost 293 inf + 1192 237.173 * * [simplify]: Extracting #8: cost 194 inf + 23126 237.185 * * [simplify]: Extracting #9: cost 59 inf + 69444 237.221 * * [simplify]: Extracting #10: cost 10 inf + 92208 237.239 * * [simplify]: Extracting #11: cost 1 inf + 101645 237.262 * * [simplify]: Extracting #12: cost 0 inf + 102590 237.291 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 237.291 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 237.292 * * * * [progress]: [ 544 / 4754 ] simplifiying candidate # 237.292 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 237.293 * * [simplify]: iters left: 6 (44 enodes) 237.305 * * [simplify]: iters left: 5 (219 enodes) 237.370 * * [simplify]: Extracting #0: cost 1 inf + 0 237.370 * * [simplify]: Extracting #1: cost 3 inf + 0 237.371 * * [simplify]: Extracting #2: cost 6 inf + 0 237.371 * * [simplify]: Extracting #3: cost 10 inf + 0 237.371 * * [simplify]: Extracting #4: cost 24 inf + 0 237.371 * * [simplify]: Extracting #5: cost 136 inf + 0 237.372 * * [simplify]: Extracting #6: cost 240 inf + 1 237.374 * * [simplify]: Extracting #7: cost 272 inf + 946 237.377 * * [simplify]: Extracting #8: cost 225 inf + 7688 237.386 * * [simplify]: Extracting #9: cost 137 inf + 34928 237.412 * * [simplify]: Extracting #10: cost 16 inf + 90350 237.440 * * [simplify]: Extracting #11: cost 3 inf + 99076 237.462 * * [simplify]: Extracting #12: cost 0 inf + 103791 237.502 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 237.502 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 237.503 * * * * [progress]: [ 545 / 4754 ] simplifiying candidate # 237.503 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 237.504 * * [simplify]: iters left: 6 (45 enodes) 237.528 * * [simplify]: iters left: 5 (228 enodes) 237.618 * * [simplify]: Extracting #0: cost 1 inf + 0 237.618 * * [simplify]: Extracting #1: cost 3 inf + 0 237.618 * * [simplify]: Extracting #2: cost 6 inf + 0 237.618 * * [simplify]: Extracting #3: cost 10 inf + 0 237.618 * * [simplify]: Extracting #4: cost 24 inf + 0 237.619 * * [simplify]: Extracting #5: cost 142 inf + 0 237.619 * * [simplify]: Extracting #6: cost 264 inf + 44 237.621 * * [simplify]: Extracting #7: cost 287 inf + 1884 237.624 * * [simplify]: Extracting #8: cost 189 inf + 24016 237.636 * * [simplify]: Extracting #9: cost 58 inf + 71227 237.673 * * [simplify]: Extracting #10: cost 5 inf + 100242 237.706 * * [simplify]: Extracting #11: cost 0 inf + 102710 237.725 * * [simplify]: Extracting #12: cost 0 inf + 102670 237.748 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 237.748 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 237.749 * * * * [progress]: [ 546 / 4754 ] simplifiying candidate # 237.749 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 237.749 * * [simplify]: iters left: 6 (48 enodes) 237.770 * * [simplify]: iters left: 5 (240 enodes) 237.852 * * [simplify]: Extracting #0: cost 1 inf + 0 237.852 * * [simplify]: Extracting #1: cost 3 inf + 0 237.852 * * [simplify]: Extracting #2: cost 6 inf + 0 237.852 * * [simplify]: Extracting #3: cost 10 inf + 0 237.852 * * [simplify]: Extracting #4: cost 20 inf + 0 237.852 * * [simplify]: Extracting #5: cost 130 inf + 0 237.853 * * [simplify]: Extracting #6: cost 277 inf + 1 237.856 * * [simplify]: Extracting #7: cost 327 inf + 1309 237.867 * * [simplify]: Extracting #8: cost 175 inf + 38995 237.891 * * [simplify]: Extracting #9: cost 60 inf + 83115 237.913 * * [simplify]: Extracting #10: cost 15 inf + 104437 237.942 * * [simplify]: Extracting #11: cost 1 inf + 114335 237.964 * * [simplify]: Extracting #12: cost 0 inf + 116040 238.001 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 238.001 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 238.002 * * * * [progress]: [ 547 / 4754 ] simplifiying candidate # 238.003 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 238.003 * * [simplify]: iters left: 6 (49 enodes) 238.029 * * [simplify]: iters left: 5 (248 enodes) 238.137 * * [simplify]: Extracting #0: cost 1 inf + 0 238.137 * * [simplify]: Extracting #1: cost 3 inf + 0 238.137 * * [simplify]: Extracting #2: cost 6 inf + 0 238.137 * * [simplify]: Extracting #3: cost 10 inf + 0 238.137 * * [simplify]: Extracting #4: cost 20 inf + 0 238.137 * * [simplify]: Extracting #5: cost 133 inf + 0 238.138 * * [simplify]: Extracting #6: cost 296 inf + 1 238.139 * * [simplify]: Extracting #7: cost 341 inf + 1313 238.144 * * [simplify]: Extracting #8: cost 213 inf + 26240 238.157 * * [simplify]: Extracting #9: cost 100 inf + 65563 238.175 * * [simplify]: Extracting #10: cost 30 inf + 95946 238.206 * * [simplify]: Extracting #11: cost 2 inf + 113285 238.235 * * [simplify]: Extracting #12: cost 0 inf + 116735 238.260 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 238.260 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 238.261 * * * * [progress]: [ 548 / 4754 ] simplifiying candidate # 238.262 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 238.264 * * [simplify]: iters left: 6 (49 enodes) 238.290 * * [simplify]: iters left: 5 (248 enodes) 238.406 * * [simplify]: Extracting #0: cost 1 inf + 0 238.406 * * [simplify]: Extracting #1: cost 3 inf + 0 238.406 * * [simplify]: Extracting #2: cost 6 inf + 0 238.406 * * [simplify]: Extracting #3: cost 10 inf + 0 238.406 * * [simplify]: Extracting #4: cost 20 inf + 0 238.406 * * [simplify]: Extracting #5: cost 136 inf + 0 238.407 * * [simplify]: Extracting #6: cost 297 inf + 1 238.408 * * [simplify]: Extracting #7: cost 329 inf + 2290 238.414 * * [simplify]: Extracting #8: cost 172 inf + 39083 238.427 * * [simplify]: Extracting #9: cost 72 inf + 77941 238.466 * * [simplify]: Extracting #10: cost 6 inf + 111450 238.507 * * [simplify]: Extracting #11: cost 0 inf + 114506 238.548 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 238.548 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 238.550 * * * * [progress]: [ 549 / 4754 ] simplifiying candidate # 238.550 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 238.551 * * [simplify]: iters left: 6 (49 enodes) 238.578 * * [simplify]: iters left: 5 (246 enodes) 238.663 * * [simplify]: Extracting #0: cost 1 inf + 0 238.664 * * [simplify]: Extracting #1: cost 3 inf + 0 238.664 * * [simplify]: Extracting #2: cost 6 inf + 0 238.664 * * [simplify]: Extracting #3: cost 10 inf + 0 238.664 * * [simplify]: Extracting #4: cost 20 inf + 0 238.664 * * [simplify]: Extracting #5: cost 132 inf + 0 238.665 * * [simplify]: Extracting #6: cost 275 inf + 44 238.667 * * [simplify]: Extracting #7: cost 298 inf + 2252 238.676 * * [simplify]: Extracting #8: cost 174 inf + 29748 238.691 * * [simplify]: Extracting #9: cost 49 inf + 78884 238.722 * * [simplify]: Extracting #10: cost 6 inf + 98180 238.759 * * [simplify]: Extracting #11: cost 0 inf + 103091 238.797 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))))) 238.797 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 238.798 * * * * [progress]: [ 550 / 4754 ] simplifiying candidate # 238.798 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 238.799 * * [simplify]: iters left: 6 (46 enodes) 238.827 * * [simplify]: iters left: 5 (232 enodes) 238.931 * * [simplify]: Extracting #0: cost 1 inf + 0 238.931 * * [simplify]: Extracting #1: cost 3 inf + 0 238.931 * * [simplify]: Extracting #2: cost 6 inf + 0 238.931 * * [simplify]: Extracting #3: cost 10 inf + 0 238.931 * * [simplify]: Extracting #4: cost 24 inf + 0 238.932 * * [simplify]: Extracting #5: cost 144 inf + 0 238.933 * * [simplify]: Extracting #6: cost 267 inf + 1 238.935 * * [simplify]: Extracting #7: cost 300 inf + 989 238.945 * * [simplify]: Extracting #8: cost 222 inf + 14809 238.957 * * [simplify]: Extracting #9: cost 149 inf + 36513 238.981 * * [simplify]: Extracting #10: cost 46 inf + 76981 239.017 * * [simplify]: Extracting #11: cost 5 inf + 101469 239.055 * * [simplify]: Extracting #12: cost 0 inf + 106114 239.095 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 239.095 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 239.096 * * * * [progress]: [ 551 / 4754 ] simplifiying candidate # 239.097 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 239.097 * * [simplify]: iters left: 6 (48 enodes) 239.127 * * [simplify]: iters left: 5 (242 enodes) 239.238 * * [simplify]: Extracting #0: cost 1 inf + 0 239.238 * * [simplify]: Extracting #1: cost 3 inf + 0 239.238 * * [simplify]: Extracting #2: cost 6 inf + 0 239.238 * * [simplify]: Extracting #3: cost 10 inf + 0 239.238 * * [simplify]: Extracting #4: cost 24 inf + 0 239.239 * * [simplify]: Extracting #5: cost 144 inf + 0 239.240 * * [simplify]: Extracting #6: cost 276 inf + 44 239.243 * * [simplify]: Extracting #7: cost 299 inf + 2211 239.251 * * [simplify]: Extracting #8: cost 188 inf + 25148 239.279 * * [simplify]: Extracting #9: cost 50 inf + 74680 239.310 * * [simplify]: Extracting #10: cost 13 inf + 87884 239.344 * * [simplify]: Extracting #11: cost 3 inf + 94246 239.382 * * [simplify]: Extracting #12: cost 0 inf + 98681 239.424 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 239.424 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 239.425 * * * * [progress]: [ 552 / 4754 ] simplifiying candidate # 239.426 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 239.427 * * [simplify]: iters left: 6 (47 enodes) 239.455 * * [simplify]: iters left: 5 (234 enodes) 239.560 * * [simplify]: Extracting #0: cost 1 inf + 0 239.560 * * [simplify]: Extracting #1: cost 3 inf + 0 239.560 * * [simplify]: Extracting #2: cost 6 inf + 0 239.560 * * [simplify]: Extracting #3: cost 10 inf + 0 239.560 * * [simplify]: Extracting #4: cost 24 inf + 0 239.561 * * [simplify]: Extracting #5: cost 145 inf + 0 239.562 * * [simplify]: Extracting #6: cost 268 inf + 1 239.564 * * [simplify]: Extracting #7: cost 300 inf + 1191 239.571 * * [simplify]: Extracting #8: cost 205 inf + 19905 239.597 * * [simplify]: Extracting #9: cost 59 inf + 73795 239.632 * * [simplify]: Extracting #10: cost 8 inf + 99527 239.672 * * [simplify]: Extracting #11: cost 0 inf + 106038 239.711 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 239.711 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 239.712 * * * * [progress]: [ 553 / 4754 ] simplifiying candidate # 239.713 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 239.713 * * [simplify]: iters left: 6 (48 enodes) 239.739 * * [simplify]: iters left: 5 (242 enodes) 239.851 * * [simplify]: Extracting #0: cost 1 inf + 0 239.851 * * [simplify]: Extracting #1: cost 3 inf + 0 239.851 * * [simplify]: Extracting #2: cost 6 inf + 0 239.851 * * [simplify]: Extracting #3: cost 10 inf + 0 239.851 * * [simplify]: Extracting #4: cost 24 inf + 0 239.852 * * [simplify]: Extracting #5: cost 143 inf + 0 239.853 * * [simplify]: Extracting #6: cost 276 inf + 44 239.855 * * [simplify]: Extracting #7: cost 299 inf + 2131 239.864 * * [simplify]: Extracting #8: cost 191 inf + 25119 239.892 * * [simplify]: Extracting #9: cost 50 inf + 74920 239.925 * * [simplify]: Extracting #10: cost 13 inf + 88124 239.959 * * [simplify]: Extracting #11: cost 3 inf + 94486 239.995 * * [simplify]: Extracting #12: cost 0 inf + 98921 240.031 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 240.032 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 240.033 * * * * [progress]: [ 554 / 4754 ] simplifiying candidate # 240.033 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 240.034 * * [simplify]: iters left: 6 (45 enodes) 240.060 * * [simplify]: iters left: 5 (227 enodes) 240.166 * * [simplify]: Extracting #0: cost 1 inf + 0 240.166 * * [simplify]: Extracting #1: cost 3 inf + 0 240.166 * * [simplify]: Extracting #2: cost 6 inf + 0 240.166 * * [simplify]: Extracting #3: cost 10 inf + 0 240.166 * * [simplify]: Extracting #4: cost 20 inf + 0 240.167 * * [simplify]: Extracting #5: cost 131 inf + 0 240.168 * * [simplify]: Extracting #6: cost 262 inf + 1 240.171 * * [simplify]: Extracting #7: cost 320 inf + 1020 240.176 * * [simplify]: Extracting #8: cost 250 inf + 17479 240.187 * * [simplify]: Extracting #9: cost 176 inf + 34514 240.216 * * [simplify]: Extracting #10: cost 58 inf + 83138 240.257 * * [simplify]: Extracting #11: cost 5 inf + 112169 240.300 * * [simplify]: Extracting #12: cost 1 inf + 118109 240.343 * * [simplify]: Extracting #13: cost 0 inf + 119734 240.388 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 240.388 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 240.389 * * * * [progress]: [ 555 / 4754 ] simplifiying candidate # 240.390 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 240.391 * * [simplify]: iters left: 6 (46 enodes) 240.418 * * [simplify]: iters left: 5 (235 enodes) 240.529 * * [simplify]: Extracting #0: cost 1 inf + 0 240.530 * * [simplify]: Extracting #1: cost 3 inf + 0 240.530 * * [simplify]: Extracting #2: cost 6 inf + 0 240.530 * * [simplify]: Extracting #3: cost 10 inf + 0 240.530 * * [simplify]: Extracting #4: cost 20 inf + 0 240.530 * * [simplify]: Extracting #5: cost 134 inf + 0 240.531 * * [simplify]: Extracting #6: cost 281 inf + 1 240.533 * * [simplify]: Extracting #7: cost 333 inf + 1186 240.539 * * [simplify]: Extracting #8: cost 252 inf + 18831 240.554 * * [simplify]: Extracting #9: cost 144 inf + 49398 240.586 * * [simplify]: Extracting #10: cost 30 inf + 102071 240.630 * * [simplify]: Extracting #11: cost 0 inf + 120549 240.673 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 240.673 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 240.674 * * * * [progress]: [ 556 / 4754 ] simplifiying candidate # 240.675 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 240.675 * * [simplify]: iters left: 6 (46 enodes) 240.702 * * [simplify]: iters left: 5 (235 enodes) 240.810 * * [simplify]: Extracting #0: cost 1 inf + 0 240.810 * * [simplify]: Extracting #1: cost 3 inf + 0 240.810 * * [simplify]: Extracting #2: cost 6 inf + 0 240.810 * * [simplify]: Extracting #3: cost 10 inf + 0 240.810 * * [simplify]: Extracting #4: cost 20 inf + 0 240.811 * * [simplify]: Extracting #5: cost 137 inf + 0 240.812 * * [simplify]: Extracting #6: cost 283 inf + 1 240.814 * * [simplify]: Extracting #7: cost 332 inf + 981 240.822 * * [simplify]: Extracting #8: cost 269 inf + 13295 240.833 * * [simplify]: Extracting #9: cost 173 inf + 37266 240.865 * * [simplify]: Extracting #10: cost 36 inf + 96651 240.908 * * [simplify]: Extracting #11: cost 2 inf + 116935 240.949 * * [simplify]: Extracting #12: cost 0 inf + 118985 240.991 * * [simplify]: Extracting #13: cost 0 inf + 118785 241.033 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 241.033 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 241.034 * * * * [progress]: [ 557 / 4754 ] simplifiying candidate # 241.034 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 241.035 * * [simplify]: iters left: 6 (46 enodes) 241.059 * * [simplify]: iters left: 5 (233 enodes) 241.169 * * [simplify]: Extracting #0: cost 1 inf + 0 241.169 * * [simplify]: Extracting #1: cost 3 inf + 0 241.169 * * [simplify]: Extracting #2: cost 6 inf + 0 241.169 * * [simplify]: Extracting #3: cost 10 inf + 0 241.169 * * [simplify]: Extracting #4: cost 20 inf + 0 241.170 * * [simplify]: Extracting #5: cost 133 inf + 0 241.171 * * [simplify]: Extracting #6: cost 262 inf + 44 241.173 * * [simplify]: Extracting #7: cost 294 inf + 1880 241.177 * * [simplify]: Extracting #8: cost 260 inf + 10701 241.187 * * [simplify]: Extracting #9: cost 173 inf + 32748 241.220 * * [simplify]: Extracting #10: cost 28 inf + 98500 241.247 * * [simplify]: Extracting #11: cost 0 inf + 107814 241.275 * * [simplify]: Extracting #12: cost 0 inf + 106774 241.305 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 241.305 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 241.306 * * * * [progress]: [ 558 / 4754 ] simplifiying candidate # 241.307 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 241.307 * * [simplify]: iters left: 6 (43 enodes) 241.330 * * [simplify]: iters left: 5 (218 enodes) 241.426 * * [simplify]: Extracting #0: cost 1 inf + 0 241.427 * * [simplify]: Extracting #1: cost 3 inf + 0 241.427 * * [simplify]: Extracting #2: cost 6 inf + 0 241.427 * * [simplify]: Extracting #3: cost 10 inf + 0 241.427 * * [simplify]: Extracting #4: cost 24 inf + 0 241.427 * * [simplify]: Extracting #5: cost 135 inf + 0 241.428 * * [simplify]: Extracting #6: cost 241 inf + 1 241.430 * * [simplify]: Extracting #7: cost 282 inf + 779 241.435 * * [simplify]: Extracting #8: cost 219 inf + 23098 241.455 * * [simplify]: Extracting #9: cost 63 inf + 87343 241.486 * * [simplify]: Extracting #10: cost 12 inf + 99022 241.511 * * [simplify]: Extracting #11: cost 1 inf + 104515 241.533 * * [simplify]: Extracting #12: cost 0 inf + 105900 241.554 * * [simplify]: Extracting #13: cost 0 inf + 105820 241.574 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 241.574 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 241.575 * * * * [progress]: [ 559 / 4754 ] simplifiying candidate # 241.575 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 241.575 * * [simplify]: iters left: 6 (45 enodes) 241.588 * * [simplify]: iters left: 5 (229 enodes) 241.646 * * [simplify]: Extracting #0: cost 1 inf + 0 241.646 * * [simplify]: Extracting #1: cost 3 inf + 0 241.646 * * [simplify]: Extracting #2: cost 6 inf + 0 241.646 * * [simplify]: Extracting #3: cost 10 inf + 0 241.646 * * [simplify]: Extracting #4: cost 24 inf + 0 241.646 * * [simplify]: Extracting #5: cost 143 inf + 0 241.647 * * [simplify]: Extracting #6: cost 260 inf + 44 241.648 * * [simplify]: Extracting #7: cost 289 inf + 2203 241.651 * * [simplify]: Extracting #8: cost 209 inf + 27668 241.663 * * [simplify]: Extracting #9: cost 69 inf + 81102 241.679 * * [simplify]: Extracting #10: cost 16 inf + 90089 241.701 * * [simplify]: Extracting #11: cost 2 inf + 99300 241.724 * * [simplify]: Extracting #12: cost 0 inf + 102590 241.747 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 241.747 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 241.748 * * * * [progress]: [ 560 / 4754 ] simplifiying candidate # 241.748 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 241.749 * * [simplify]: iters left: 6 (44 enodes) 241.772 * * [simplify]: iters left: 5 (221 enodes) 241.849 * * [simplify]: Extracting #0: cost 1 inf + 0 241.849 * * [simplify]: Extracting #1: cost 3 inf + 0 241.849 * * [simplify]: Extracting #2: cost 6 inf + 0 241.849 * * [simplify]: Extracting #3: cost 10 inf + 0 241.849 * * [simplify]: Extracting #4: cost 24 inf + 0 241.849 * * [simplify]: Extracting #5: cost 136 inf + 0 241.850 * * [simplify]: Extracting #6: cost 242 inf + 1 241.851 * * [simplify]: Extracting #7: cost 285 inf + 575 241.853 * * [simplify]: Extracting #8: cost 225 inf + 21409 241.864 * * [simplify]: Extracting #9: cost 71 inf + 80140 241.883 * * [simplify]: Extracting #10: cost 7 inf + 102053 241.910 * * [simplify]: Extracting #11: cost 0 inf + 106904 241.941 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 241.941 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 241.942 * * * * [progress]: [ 561 / 4754 ] simplifiying candidate # 241.943 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 241.943 * * [simplify]: iters left: 6 (45 enodes) 241.966 * * [simplify]: iters left: 5 (229 enodes) 242.049 * * [simplify]: Extracting #0: cost 1 inf + 0 242.049 * * [simplify]: Extracting #1: cost 3 inf + 0 242.049 * * [simplify]: Extracting #2: cost 6 inf + 0 242.049 * * [simplify]: Extracting #3: cost 10 inf + 0 242.049 * * [simplify]: Extracting #4: cost 24 inf + 0 242.049 * * [simplify]: Extracting #5: cost 142 inf + 0 242.050 * * [simplify]: Extracting #6: cost 260 inf + 44 242.051 * * [simplify]: Extracting #7: cost 287 inf + 2567 242.054 * * [simplify]: Extracting #8: cost 236 inf + 15060 242.060 * * [simplify]: Extracting #9: cost 143 inf + 37571 242.074 * * [simplify]: Extracting #10: cost 23 inf + 84807 242.093 * * [simplify]: Extracting #11: cost 5 inf + 95305 242.114 * * [simplify]: Extracting #12: cost 2 inf + 99460 242.153 * * [simplify]: Extracting #13: cost 0 inf + 102670 242.190 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 242.190 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 242.191 * * * * [progress]: [ 562 / 4754 ] simplifiying candidate # 242.191 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 242.192 * * [simplify]: iters left: 6 (48 enodes) 242.206 * * [simplify]: iters left: 5 (240 enodes) 242.313 * * [simplify]: Extracting #0: cost 1 inf + 0 242.313 * * [simplify]: Extracting #1: cost 3 inf + 0 242.313 * * [simplify]: Extracting #2: cost 6 inf + 0 242.313 * * [simplify]: Extracting #3: cost 10 inf + 0 242.313 * * [simplify]: Extracting #4: cost 20 inf + 0 242.314 * * [simplify]: Extracting #5: cost 130 inf + 0 242.315 * * [simplify]: Extracting #6: cost 281 inf + 1 242.317 * * [simplify]: Extracting #7: cost 323 inf + 1677 242.328 * * [simplify]: Extracting #8: cost 172 inf + 37881 242.355 * * [simplify]: Extracting #9: cost 64 inf + 79139 242.392 * * [simplify]: Extracting #10: cost 15 inf + 103466 242.436 * * [simplify]: Extracting #11: cost 1 inf + 113615 242.477 * * [simplify]: Extracting #12: cost 0 inf + 115320 242.518 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) 242.518 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 242.519 * * * * [progress]: [ 563 / 4754 ] simplifiying candidate # 242.520 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 242.520 * * [simplify]: iters left: 6 (49 enodes) 242.546 * * [simplify]: iters left: 5 (248 enodes) 242.660 * * [simplify]: Extracting #0: cost 1 inf + 0 242.660 * * [simplify]: Extracting #1: cost 3 inf + 0 242.660 * * [simplify]: Extracting #2: cost 6 inf + 0 242.660 * * [simplify]: Extracting #3: cost 10 inf + 0 242.661 * * [simplify]: Extracting #4: cost 20 inf + 0 242.661 * * [simplify]: Extracting #5: cost 133 inf + 0 242.662 * * [simplify]: Extracting #6: cost 300 inf + 1 242.665 * * [simplify]: Extracting #7: cost 337 inf + 1601 242.676 * * [simplify]: Extracting #8: cost 181 inf + 38147 242.703 * * [simplify]: Extracting #9: cost 73 inf + 79549 242.748 * * [simplify]: Extracting #10: cost 6 inf + 111706 242.790 * * [simplify]: Extracting #11: cost 0 inf + 116095 242.832 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 242.832 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 242.833 * * * * [progress]: [ 564 / 4754 ] simplifiying candidate # 242.834 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 242.834 * * [simplify]: iters left: 6 (49 enodes) 242.862 * * [simplify]: iters left: 5 (248 enodes) 242.981 * * [simplify]: Extracting #0: cost 1 inf + 0 242.981 * * [simplify]: Extracting #1: cost 3 inf + 0 242.981 * * [simplify]: Extracting #2: cost 6 inf + 0 242.981 * * [simplify]: Extracting #3: cost 10 inf + 0 242.982 * * [simplify]: Extracting #4: cost 20 inf + 0 242.982 * * [simplify]: Extracting #5: cost 136 inf + 0 242.983 * * [simplify]: Extracting #6: cost 301 inf + 1 242.986 * * [simplify]: Extracting #7: cost 327 inf + 2413 242.998 * * [simplify]: Extracting #8: cost 170 inf + 39608 243.024 * * [simplify]: Extracting #9: cost 72 inf + 77541 243.068 * * [simplify]: Extracting #10: cost 8 inf + 108802 243.108 * * [simplify]: Extracting #11: cost 0 inf + 114026 243.149 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 243.150 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 243.151 * * * * [progress]: [ 565 / 4754 ] simplifiying candidate # 243.151 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 243.152 * * [simplify]: iters left: 6 (49 enodes) 243.178 * * [simplify]: iters left: 5 (246 enodes) 243.293 * * [simplify]: Extracting #0: cost 1 inf + 0 243.293 * * [simplify]: Extracting #1: cost 3 inf + 0 243.293 * * [simplify]: Extracting #2: cost 6 inf + 0 243.293 * * [simplify]: Extracting #3: cost 10 inf + 0 243.293 * * [simplify]: Extracting #4: cost 20 inf + 0 243.294 * * [simplify]: Extracting #5: cost 132 inf + 0 243.295 * * [simplify]: Extracting #6: cost 279 inf + 44 243.298 * * [simplify]: Extracting #7: cost 291 inf + 3351 243.307 * * [simplify]: Extracting #8: cost 175 inf + 29827 243.330 * * [simplify]: Extracting #9: cost 66 inf + 68724 243.368 * * [simplify]: Extracting #10: cost 8 inf + 96111 243.404 * * [simplify]: Extracting #11: cost 0 inf + 102691 243.441 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))))) 243.442 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 243.443 * * * * [progress]: [ 566 / 4754 ] simplifiying candidate # 243.443 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 243.444 * * [simplify]: iters left: 6 (46 enodes) 243.472 * * [simplify]: iters left: 5 (232 enodes) 243.581 * * [simplify]: Extracting #0: cost 1 inf + 0 243.581 * * [simplify]: Extracting #1: cost 3 inf + 0 243.581 * * [simplify]: Extracting #2: cost 6 inf + 0 243.581 * * [simplify]: Extracting #3: cost 10 inf + 0 243.581 * * [simplify]: Extracting #4: cost 24 inf + 0 243.582 * * [simplify]: Extracting #5: cost 144 inf + 0 243.583 * * [simplify]: Extracting #6: cost 271 inf + 1 243.585 * * [simplify]: Extracting #7: cost 296 inf + 1357 243.594 * * [simplify]: Extracting #8: cost 179 inf + 29969 243.620 * * [simplify]: Extracting #9: cost 55 inf + 80788 243.662 * * [simplify]: Extracting #10: cost 8 inf + 103215 243.700 * * [simplify]: Extracting #11: cost 0 inf + 105954 243.738 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 243.738 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 243.739 * * * * [progress]: [ 567 / 4754 ] simplifiying candidate # 243.740 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 243.740 * * [simplify]: iters left: 6 (48 enodes) 243.768 * * [simplify]: iters left: 5 (242 enodes) 243.879 * * [simplify]: Extracting #0: cost 1 inf + 0 243.879 * * [simplify]: Extracting #1: cost 3 inf + 0 243.879 * * [simplify]: Extracting #2: cost 6 inf + 0 243.879 * * [simplify]: Extracting #3: cost 10 inf + 0 243.879 * * [simplify]: Extracting #4: cost 24 inf + 0 243.880 * * [simplify]: Extracting #5: cost 144 inf + 0 243.881 * * [simplify]: Extracting #6: cost 280 inf + 44 243.883 * * [simplify]: Extracting #7: cost 299 inf + 2173 243.891 * * [simplify]: Extracting #8: cost 188 inf + 25391 243.915 * * [simplify]: Extracting #9: cost 53 inf + 74506 243.947 * * [simplify]: Extracting #10: cost 13 inf + 89604 243.985 * * [simplify]: Extracting #11: cost 3 inf + 95246 244.018 * * [simplify]: Extracting #12: cost 0 inf + 99561 244.055 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 244.055 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 244.056 * * * * [progress]: [ 568 / 4754 ] simplifiying candidate # 244.056 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 244.057 * * [simplify]: iters left: 6 (47 enodes) 244.081 * * [simplify]: iters left: 5 (234 enodes) 244.187 * * [simplify]: Extracting #0: cost 1 inf + 0 244.187 * * [simplify]: Extracting #1: cost 3 inf + 0 244.187 * * [simplify]: Extracting #2: cost 6 inf + 0 244.188 * * [simplify]: Extracting #3: cost 10 inf + 0 244.188 * * [simplify]: Extracting #4: cost 24 inf + 0 244.188 * * [simplify]: Extracting #5: cost 145 inf + 0 244.189 * * [simplify]: Extracting #6: cost 272 inf + 1 244.191 * * [simplify]: Extracting #7: cost 303 inf + 705 244.198 * * [simplify]: Extracting #8: cost 209 inf + 20988 244.222 * * [simplify]: Extracting #9: cost 55 inf + 78871 244.260 * * [simplify]: Extracting #10: cost 7 inf + 101750 244.303 * * [simplify]: Extracting #11: cost 0 inf + 107078 244.342 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 244.343 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 244.344 * * * * [progress]: [ 569 / 4754 ] simplifiying candidate # 244.344 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 244.345 * * [simplify]: iters left: 6 (48 enodes) 244.370 * * [simplify]: iters left: 5 (242 enodes) 244.483 * * [simplify]: Extracting #0: cost 1 inf + 0 244.483 * * [simplify]: Extracting #1: cost 3 inf + 0 244.483 * * [simplify]: Extracting #2: cost 6 inf + 0 244.483 * * [simplify]: Extracting #3: cost 10 inf + 0 244.483 * * [simplify]: Extracting #4: cost 24 inf + 0 244.484 * * [simplify]: Extracting #5: cost 143 inf + 0 244.485 * * [simplify]: Extracting #6: cost 280 inf + 44 244.488 * * [simplify]: Extracting #7: cost 297 inf + 2458 244.497 * * [simplify]: Extracting #8: cost 189 inf + 25670 244.522 * * [simplify]: Extracting #9: cost 53 inf + 74746 244.555 * * [simplify]: Extracting #10: cost 12 inf + 90056 244.594 * * [simplify]: Extracting #11: cost 3 inf + 95486 244.633 * * [simplify]: Extracting #12: cost 0 inf + 99801 244.670 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 244.670 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 244.671 * * * * [progress]: [ 570 / 4754 ] simplifiying candidate # 244.672 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 244.673 * * [simplify]: iters left: 6 (44 enodes) 244.696 * * [simplify]: iters left: 5 (225 enodes) 244.768 * * [simplify]: Extracting #0: cost 1 inf + 0 244.768 * * [simplify]: Extracting #1: cost 3 inf + 0 244.768 * * [simplify]: Extracting #2: cost 6 inf + 0 244.768 * * [simplify]: Extracting #3: cost 10 inf + 0 244.768 * * [simplify]: Extracting #4: cost 20 inf + 0 244.768 * * [simplify]: Extracting #5: cost 121 inf + 0 244.769 * * [simplify]: Extracting #6: cost 251 inf + 3 244.770 * * [simplify]: Extracting #7: cost 274 inf + 2848 244.773 * * [simplify]: Extracting #8: cost 191 inf + 19986 244.780 * * [simplify]: Extracting #9: cost 100 inf + 48025 244.793 * * [simplify]: Extracting #10: cost 19 inf + 81841 244.810 * * [simplify]: Extracting #11: cost 1 inf + 91829 244.831 * * [simplify]: Extracting #12: cost 0 inf + 93232 244.862 * * [simplify]: Extracting #13: cost 0 inf + 93141 244.896 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2))))))) 244.896 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 244.897 * * * * [progress]: [ 571 / 4754 ] simplifiying candidate # 244.898 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 244.898 * * [simplify]: iters left: 6 (44 enodes) 244.921 * * [simplify]: iters left: 5 (223 enodes) 245.021 * * [simplify]: Extracting #0: cost 1 inf + 0 245.021 * * [simplify]: Extracting #1: cost 3 inf + 0 245.021 * * [simplify]: Extracting #2: cost 6 inf + 0 245.021 * * [simplify]: Extracting #3: cost 10 inf + 0 245.021 * * [simplify]: Extracting #4: cost 23 inf + 0 245.022 * * [simplify]: Extracting #5: cost 128 inf + 0 245.023 * * [simplify]: Extracting #6: cost 252 inf + 1 245.025 * * [simplify]: Extracting #7: cost 268 inf + 7382 245.034 * * [simplify]: Extracting #8: cost 156 inf + 31015 245.058 * * [simplify]: Extracting #9: cost 43 inf + 73270 245.089 * * [simplify]: Extracting #10: cost 4 inf + 87652 245.126 * * [simplify]: Extracting #11: cost 0 inf + 90266 245.159 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 245.159 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 245.160 * * * * [progress]: [ 572 / 4754 ] simplifiying candidate # 245.160 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 245.161 * * [simplify]: iters left: 6 (43 enodes) 245.184 * * [simplify]: iters left: 5 (222 enodes) 245.290 * * [simplify]: Extracting #0: cost 1 inf + 0 245.290 * * [simplify]: Extracting #1: cost 3 inf + 0 245.290 * * [simplify]: Extracting #2: cost 6 inf + 0 245.291 * * [simplify]: Extracting #3: cost 10 inf + 0 245.291 * * [simplify]: Extracting #4: cost 20 inf + 0 245.291 * * [simplify]: Extracting #5: cost 122 inf + 0 245.292 * * [simplify]: Extracting #6: cost 256 inf + 44 245.294 * * [simplify]: Extracting #7: cost 311 inf + 1229 245.301 * * [simplify]: Extracting #8: cost 211 inf + 32301 245.322 * * [simplify]: Extracting #9: cost 97 inf + 84405 245.354 * * [simplify]: Extracting #10: cost 25 inf + 96072 245.392 * * [simplify]: Extracting #11: cost 2 inf + 108131 245.435 * * [simplify]: Extracting #12: cost 0 inf + 110621 245.475 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 245.475 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 245.476 * * * * [progress]: [ 573 / 4754 ] simplifiying candidate # 245.476 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 245.477 * * [simplify]: iters left: 6 (43 enodes) 245.501 * * [simplify]: iters left: 5 (220 enodes) 245.651 * * [simplify]: Extracting #0: cost 1 inf + 0 245.651 * * [simplify]: Extracting #1: cost 3 inf + 0 245.651 * * [simplify]: Extracting #2: cost 6 inf + 0 245.651 * * [simplify]: Extracting #3: cost 10 inf + 0 245.651 * * [simplify]: Extracting #4: cost 20 inf + 0 245.651 * * [simplify]: Extracting #5: cost 113 inf + 0 245.652 * * [simplify]: Extracting #6: cost 244 inf + 44 245.654 * * [simplify]: Extracting #7: cost 296 inf + 1351 245.661 * * [simplify]: Extracting #8: cost 194 inf + 30105 245.680 * * [simplify]: Extracting #9: cost 90 inf + 70384 245.731 * * [simplify]: Extracting #10: cost 14 inf + 91407 245.762 * * [simplify]: Extracting #11: cost 3 inf + 96844 245.802 * * [simplify]: Extracting #12: cost 1 inf + 99974 245.874 * * [simplify]: Extracting #13: cost 0 inf + 101559 245.909 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 245.909 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 245.910 * * * * [progress]: [ 574 / 4754 ] simplifiying candidate # 245.911 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 245.911 * * [simplify]: iters left: 6 (43 enodes) 245.935 * * [simplify]: iters left: 5 (219 enodes) 246.062 * * [simplify]: Extracting #0: cost 1 inf + 0 246.063 * * [simplify]: Extracting #1: cost 3 inf + 0 246.063 * * [simplify]: Extracting #2: cost 6 inf + 0 246.063 * * [simplify]: Extracting #3: cost 10 inf + 0 246.063 * * [simplify]: Extracting #4: cost 20 inf + 0 246.063 * * [simplify]: Extracting #5: cost 117 inf + 0 246.064 * * [simplify]: Extracting #6: cost 237 inf + 44 246.067 * * [simplify]: Extracting #7: cost 283 inf + 1313 246.074 * * [simplify]: Extracting #8: cost 183 inf + 30404 246.096 * * [simplify]: Extracting #9: cost 80 inf + 71720 246.146 * * [simplify]: Extracting #10: cost 17 inf + 81631 246.181 * * [simplify]: Extracting #11: cost 2 inf + 93206 246.224 * * [simplify]: Extracting #12: cost 0 inf + 95816 246.264 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))))))))) 246.264 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 246.265 * * * * [progress]: [ 575 / 4754 ] simplifiying candidate # 246.266 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 246.266 * * [simplify]: iters left: 6 (37 enodes) 246.287 * * [simplify]: iters left: 5 (186 enodes) 246.396 * * [simplify]: Extracting #0: cost 1 inf + 0 246.396 * * [simplify]: Extracting #1: cost 3 inf + 0 246.396 * * [simplify]: Extracting #2: cost 6 inf + 0 246.396 * * [simplify]: Extracting #3: cost 10 inf + 0 246.396 * * [simplify]: Extracting #4: cost 20 inf + 0 246.405 * * [simplify]: Extracting #5: cost 112 inf + 0 246.406 * * [simplify]: Extracting #6: cost 208 inf + 44 246.407 * * [simplify]: Extracting #7: cost 244 inf + 823 246.412 * * [simplify]: Extracting #8: cost 175 inf + 25638 246.432 * * [simplify]: Extracting #9: cost 92 inf + 52474 246.451 * * [simplify]: Extracting #10: cost 24 inf + 64766 246.490 * * [simplify]: Extracting #11: cost 1 inf + 78099 246.515 * * [simplify]: Extracting #12: cost 0 inf + 79244 246.549 * * [simplify]: Extracting #13: cost 0 inf + 79204 246.593 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 246.594 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 246.597 * * * * [progress]: [ 576 / 4754 ] simplifiying candidate # 246.598 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 246.598 * * [simplify]: iters left: 6 (42 enodes) 246.622 * * [simplify]: iters left: 5 (213 enodes) 246.722 * * [simplify]: Extracting #0: cost 1 inf + 0 246.722 * * [simplify]: Extracting #1: cost 3 inf + 0 246.722 * * [simplify]: Extracting #2: cost 6 inf + 0 246.722 * * [simplify]: Extracting #3: cost 10 inf + 0 246.722 * * [simplify]: Extracting #4: cost 24 inf + 0 246.723 * * [simplify]: Extracting #5: cost 133 inf + 0 246.724 * * [simplify]: Extracting #6: cost 232 inf + 85 246.748 * * [simplify]: Extracting #7: cost 266 inf + 1392 246.753 * * [simplify]: Extracting #8: cost 208 inf + 14737 246.765 * * [simplify]: Extracting #9: cost 110 inf + 48312 246.791 * * [simplify]: Extracting #10: cost 13 inf + 89259 246.819 * * [simplify]: Extracting #11: cost 0 inf + 94623 246.858 * * [simplify]: Extracting #12: cost 0 inf + 94223 246.894 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 246.895 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 246.901 * * * * [progress]: [ 577 / 4754 ] simplifiying candidate # 246.909 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 246.910 * * [simplify]: iters left: 6 (31 enodes) 246.929 * * [simplify]: iters left: 5 (149 enodes) 246.991 * * [simplify]: iters left: 4 (439 enodes) 247.390 * * [simplify]: Extracting #0: cost 1 inf + 0 247.390 * * [simplify]: Extracting #1: cost 4 inf + 0 247.390 * * [simplify]: Extracting #2: cost 7 inf + 0 247.390 * * [simplify]: Extracting #3: cost 19 inf + 0 247.391 * * [simplify]: Extracting #4: cost 203 inf + 0 247.394 * * [simplify]: Extracting #5: cost 520 inf + 209 247.407 * * [simplify]: Extracting #6: cost 625 inf + 27510 247.446 * * [simplify]: Extracting #7: cost 319 inf + 109532 247.516 * * [simplify]: Extracting #8: cost 219 inf + 134559 247.600 * * [simplify]: Extracting #9: cost 45 inf + 213982 247.682 * * [simplify]: Extracting #10: cost 1 inf + 238204 247.808 * * [simplify]: Extracting #11: cost 0 inf + 238629 247.892 * * [simplify]: Extracting #12: cost 0 inf + 238589 247.987 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) 247.987 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 247.988 * * * * [progress]: [ 578 / 4754 ] simplifiying candidate # 247.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 247.989 * * [simplify]: iters left: 6 (42 enodes) 248.018 * * [simplify]: iters left: 5 (214 enodes) 248.118 * * [simplify]: Extracting #0: cost 1 inf + 0 248.118 * * [simplify]: Extracting #1: cost 3 inf + 0 248.118 * * [simplify]: Extracting #2: cost 6 inf + 0 248.118 * * [simplify]: Extracting #3: cost 10 inf + 0 248.118 * * [simplify]: Extracting #4: cost 24 inf + 0 248.118 * * [simplify]: Extracting #5: cost 132 inf + 0 248.120 * * [simplify]: Extracting #6: cost 236 inf + 85 248.121 * * [simplify]: Extracting #7: cost 270 inf + 1433 248.126 * * [simplify]: Extracting #8: cost 187 inf + 30459 248.147 * * [simplify]: Extracting #9: cost 95 inf + 66193 248.169 * * [simplify]: Extracting #10: cost 25 inf + 80146 248.200 * * [simplify]: Extracting #11: cost 1 inf + 94810 248.244 * * [simplify]: Extracting #12: cost 0 inf + 96075 248.286 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 248.288 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 248.289 * * * * [progress]: [ 579 / 4754 ] simplifiying candidate # 248.290 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 248.291 * * [simplify]: iters left: 6 (35 enodes) 248.317 * * [simplify]: iters left: 5 (166 enodes) 248.390 * * [simplify]: iters left: 4 (473 enodes) 248.921 * * [simplify]: Extracting #0: cost 1 inf + 0 248.921 * * [simplify]: Extracting #1: cost 4 inf + 0 248.921 * * [simplify]: Extracting #2: cost 7 inf + 0 248.921 * * [simplify]: Extracting #3: cost 21 inf + 0 248.922 * * [simplify]: Extracting #4: cost 214 inf + 0 248.925 * * [simplify]: Extracting #5: cost 564 inf + 453 248.934 * * [simplify]: Extracting #6: cost 701 inf + 9947 248.962 * * [simplify]: Extracting #7: cost 527 inf + 50174 249.033 * * [simplify]: Extracting #8: cost 275 inf + 126214 249.119 * * [simplify]: Extracting #9: cost 51 inf + 222852 249.257 * * [simplify]: Extracting #10: cost 4 inf + 249268 249.421 * * [simplify]: Extracting #11: cost 0 inf + 252808 249.526 * * [simplify]: Extracting #12: cost 0 inf + 252648 249.720 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) 249.720 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 249.728 * * * * [progress]: [ 580 / 4754 ] simplifiying candidate # 249.731 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 249.732 * * [simplify]: iters left: 6 (48 enodes) 249.758 * * [simplify]: iters left: 5 (250 enodes) 250.007 * * [simplify]: Extracting #0: cost 1 inf + 0 250.007 * * [simplify]: Extracting #1: cost 3 inf + 0 250.007 * * [simplify]: Extracting #2: cost 6 inf + 0 250.007 * * [simplify]: Extracting #3: cost 10 inf + 0 250.008 * * [simplify]: Extracting #4: cost 20 inf + 0 250.008 * * [simplify]: Extracting #5: cost 124 inf + 0 250.015 * * [simplify]: Extracting #6: cost 279 inf + 44 250.018 * * [simplify]: Extracting #7: cost 338 inf + 1400 250.027 * * [simplify]: Extracting #8: cost 189 inf + 36154 250.055 * * [simplify]: Extracting #9: cost 61 inf + 83308 250.110 * * [simplify]: Extracting #10: cost 7 inf + 115887 250.157 * * [simplify]: Extracting #11: cost 0 inf + 120310 250.223 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 250.224 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 250.227 * * * * [progress]: [ 581 / 4754 ] simplifiying candidate # 250.229 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 250.230 * * [simplify]: iters left: 6 (48 enodes) 250.257 * * [simplify]: iters left: 5 (252 enodes) 250.453 * * [simplify]: Extracting #0: cost 1 inf + 0 250.453 * * [simplify]: Extracting #1: cost 3 inf + 0 250.453 * * [simplify]: Extracting #2: cost 6 inf + 0 250.453 * * [simplify]: Extracting #3: cost 10 inf + 0 250.453 * * [simplify]: Extracting #4: cost 20 inf + 0 250.453 * * [simplify]: Extracting #5: cost 125 inf + 0 250.455 * * [simplify]: Extracting #6: cost 292 inf + 44 250.458 * * [simplify]: Extracting #7: cost 345 inf + 1728 250.469 * * [simplify]: Extracting #8: cost 179 inf + 38731 250.490 * * [simplify]: Extracting #9: cost 44 inf + 95056 250.524 * * [simplify]: Extracting #10: cost 2 inf + 119001 250.578 * * [simplify]: Extracting #11: cost 0 inf + 120918 250.647 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 250.647 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 250.648 * * * * [progress]: [ 582 / 4754 ] simplifiying candidate # 250.648 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 250.648 * * [simplify]: iters left: 6 (48 enodes) 250.674 * * [simplify]: iters left: 5 (252 enodes) 250.830 * * [simplify]: Extracting #0: cost 1 inf + 0 250.830 * * [simplify]: Extracting #1: cost 3 inf + 0 250.830 * * [simplify]: Extracting #2: cost 6 inf + 0 250.830 * * [simplify]: Extracting #3: cost 10 inf + 0 250.830 * * [simplify]: Extracting #4: cost 20 inf + 0 250.830 * * [simplify]: Extracting #5: cost 128 inf + 0 250.832 * * [simplify]: Extracting #6: cost 289 inf + 44 250.834 * * [simplify]: Extracting #7: cost 333 inf + 2817 250.845 * * [simplify]: Extracting #8: cost 190 inf + 30557 250.881 * * [simplify]: Extracting #9: cost 88 inf + 68340 251.034 * * [simplify]: Extracting #10: cost 14 inf + 104090 251.069 * * [simplify]: Extracting #11: cost 1 inf + 115669 251.097 * * [simplify]: Extracting #12: cost 0 inf + 117214 251.139 * * [simplify]: Extracting #13: cost 0 inf + 117134 251.184 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 251.186 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 251.198 * * * * [progress]: [ 583 / 4754 ] simplifiying candidate # 251.202 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 251.203 * * [simplify]: iters left: 6 (42 enodes) 251.237 * * [simplify]: iters left: 5 (216 enodes) 251.313 * * [simplify]: Extracting #0: cost 1 inf + 0 251.313 * * [simplify]: Extracting #1: cost 3 inf + 0 251.313 * * [simplify]: Extracting #2: cost 6 inf + 0 251.313 * * [simplify]: Extracting #3: cost 10 inf + 0 251.313 * * [simplify]: Extracting #4: cost 20 inf + 0 251.314 * * [simplify]: Extracting #5: cost 119 inf + 0 251.315 * * [simplify]: Extracting #6: cost 251 inf + 44 251.317 * * [simplify]: Extracting #7: cost 288 inf + 1358 251.324 * * [simplify]: Extracting #8: cost 161 inf + 27553 251.351 * * [simplify]: Extracting #9: cost 31 inf + 78420 251.385 * * [simplify]: Extracting #10: cost 3 inf + 92567 251.419 * * [simplify]: Extracting #11: cost 0 inf + 95429 251.450 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) 251.451 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 251.458 * * * * [progress]: [ 584 / 4754 ] simplifiying candidate # 251.459 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 251.459 * * [simplify]: iters left: 6 (47 enodes) 251.541 * * [simplify]: iters left: 5 (246 enodes) 251.679 * * [simplify]: Extracting #0: cost 1 inf + 0 251.679 * * [simplify]: Extracting #1: cost 3 inf + 0 251.679 * * [simplify]: Extracting #2: cost 6 inf + 0 251.679 * * [simplify]: Extracting #3: cost 10 inf + 0 251.679 * * [simplify]: Extracting #4: cost 24 inf + 0 251.680 * * [simplify]: Extracting #5: cost 144 inf + 0 251.685 * * [simplify]: Extracting #6: cost 282 inf + 85 251.688 * * [simplify]: Extracting #7: cost 305 inf + 3951 251.695 * * [simplify]: Extracting #8: cost 195 inf + 26946 251.711 * * [simplify]: Extracting #9: cost 114 inf + 53067 251.740 * * [simplify]: Extracting #10: cost 22 inf + 95700 251.779 * * [simplify]: Extracting #11: cost 4 inf + 104630 251.813 * * [simplify]: Extracting #12: cost 0 inf + 110810 251.853 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 251.853 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 251.854 * * * * [progress]: [ 585 / 4754 ] simplifiying candidate # 251.855 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 251.855 * * [simplify]: iters left: 6 (40 enodes) 251.877 * * [simplify]: iters left: 5 (208 enodes) 252.005 * * [simplify]: Extracting #0: cost 1 inf + 0 252.005 * * [simplify]: Extracting #1: cost 3 inf + 0 252.005 * * [simplify]: Extracting #2: cost 6 inf + 0 252.005 * * [simplify]: Extracting #3: cost 10 inf + 0 252.005 * * [simplify]: Extracting #4: cost 24 inf + 0 252.005 * * [simplify]: Extracting #5: cost 118 inf + 0 252.009 * * [simplify]: Extracting #6: cost 232 inf + 44 252.011 * * [simplify]: Extracting #7: cost 266 inf + 1196 252.018 * * [simplify]: Extracting #8: cost 158 inf + 22505 252.041 * * [simplify]: Extracting #9: cost 33 inf + 68044 252.071 * * [simplify]: Extracting #10: cost 6 inf + 82492 252.104 * * [simplify]: Extracting #11: cost 3 inf + 84301 252.131 * * [simplify]: Extracting #12: cost 0 inf + 88536 252.165 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 252.165 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 252.166 * * * * [progress]: [ 586 / 4754 ] simplifiying candidate # 252.167 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 252.167 * * [simplify]: iters left: 6 (47 enodes) 252.193 * * [simplify]: iters left: 5 (246 enodes) 252.313 * * [simplify]: Extracting #0: cost 1 inf + 0 252.313 * * [simplify]: Extracting #1: cost 3 inf + 0 252.313 * * [simplify]: Extracting #2: cost 6 inf + 0 252.313 * * [simplify]: Extracting #3: cost 10 inf + 0 252.314 * * [simplify]: Extracting #4: cost 24 inf + 0 252.314 * * [simplify]: Extracting #5: cost 144 inf + 0 252.315 * * [simplify]: Extracting #6: cost 284 inf + 44 252.318 * * [simplify]: Extracting #7: cost 319 inf + 1850 252.323 * * [simplify]: Extracting #8: cost 242 inf + 13372 252.338 * * [simplify]: Extracting #9: cost 136 inf + 45821 252.371 * * [simplify]: Extracting #10: cost 26 inf + 94939 252.409 * * [simplify]: Extracting #11: cost 4 inf + 107914 252.450 * * [simplify]: Extracting #12: cost 0 inf + 114254 252.493 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 252.493 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 252.494 * * * * [progress]: [ 587 / 4754 ] simplifiying candidate # 252.495 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 252.495 * * [simplify]: iters left: 6 (41 enodes) 252.517 * * [simplify]: iters left: 5 (210 enodes) 252.647 * * [simplify]: Extracting #0: cost 1 inf + 0 252.647 * * [simplify]: Extracting #1: cost 3 inf + 0 252.647 * * [simplify]: Extracting #2: cost 6 inf + 0 252.647 * * [simplify]: Extracting #3: cost 10 inf + 0 252.647 * * [simplify]: Extracting #4: cost 24 inf + 0 252.648 * * [simplify]: Extracting #5: cost 119 inf + 0 252.649 * * [simplify]: Extracting #6: cost 234 inf + 44 252.651 * * [simplify]: Extracting #7: cost 271 inf + 1030 252.657 * * [simplify]: Extracting #8: cost 163 inf + 22516 252.677 * * [simplify]: Extracting #9: cost 33 inf + 69416 252.708 * * [simplify]: Extracting #10: cost 9 inf + 79265 252.739 * * [simplify]: Extracting #11: cost 2 inf + 85174 252.774 * * [simplify]: Extracting #12: cost 0 inf + 87864 252.811 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 252.811 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 252.812 * * * * [progress]: [ 588 / 4754 ] simplifiying candidate # 252.812 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 252.813 * * [simplify]: iters left: 6 (48 enodes) 252.839 * * [simplify]: iters left: 5 (249 enodes) 252.962 * * [simplify]: Extracting #0: cost 1 inf + 0 252.962 * * [simplify]: Extracting #1: cost 3 inf + 0 252.962 * * [simplify]: Extracting #2: cost 6 inf + 0 252.962 * * [simplify]: Extracting #3: cost 10 inf + 0 252.962 * * [simplify]: Extracting #4: cost 20 inf + 0 252.962 * * [simplify]: Extracting #5: cost 124 inf + 0 252.964 * * [simplify]: Extracting #6: cost 281 inf + 44 252.966 * * [simplify]: Extracting #7: cost 335 inf + 1441 252.973 * * [simplify]: Extracting #8: cost 229 inf + 19224 252.993 * * [simplify]: Extracting #9: cost 105 inf + 64051 253.035 * * [simplify]: Extracting #10: cost 7 inf + 115850 253.067 * * [simplify]: Extracting #11: cost 0 inf + 119942 253.151 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 253.151 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 253.153 * * * * [progress]: [ 589 / 4754 ] simplifiying candidate # 253.154 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 253.154 * * [simplify]: iters left: 6 (48 enodes) 253.187 * * [simplify]: iters left: 5 (251 enodes) 253.317 * * [simplify]: Extracting #0: cost 1 inf + 0 253.318 * * [simplify]: Extracting #1: cost 3 inf + 0 253.318 * * [simplify]: Extracting #2: cost 6 inf + 0 253.318 * * [simplify]: Extracting #3: cost 10 inf + 0 253.318 * * [simplify]: Extracting #4: cost 20 inf + 0 253.318 * * [simplify]: Extracting #5: cost 125 inf + 0 253.318 * * [simplify]: Extracting #6: cost 292 inf + 44 253.320 * * [simplify]: Extracting #7: cost 340 inf + 1967 253.326 * * [simplify]: Extracting #8: cost 163 inf + 42463 253.346 * * [simplify]: Extracting #9: cost 35 inf + 96442 253.368 * * [simplify]: Extracting #10: cost 0 inf + 119921 253.393 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 253.394 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 253.395 * * * * [progress]: [ 590 / 4754 ] simplifiying candidate # 253.395 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 253.396 * * [simplify]: iters left: 6 (48 enodes) 253.423 * * [simplify]: iters left: 5 (251 enodes) 253.547 * * [simplify]: Extracting #0: cost 1 inf + 0 253.547 * * [simplify]: Extracting #1: cost 3 inf + 0 253.547 * * [simplify]: Extracting #2: cost 6 inf + 0 253.547 * * [simplify]: Extracting #3: cost 10 inf + 0 253.547 * * [simplify]: Extracting #4: cost 20 inf + 0 253.548 * * [simplify]: Extracting #5: cost 128 inf + 0 253.549 * * [simplify]: Extracting #6: cost 290 inf + 44 253.551 * * [simplify]: Extracting #7: cost 334 inf + 1685 253.558 * * [simplify]: Extracting #8: cost 230 inf + 17497 253.577 * * [simplify]: Extracting #9: cost 120 inf + 52619 253.617 * * [simplify]: Extracting #10: cost 26 inf + 96612 253.660 * * [simplify]: Extracting #11: cost 0 inf + 116741 253.703 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 253.703 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 253.705 * * * * [progress]: [ 591 / 4754 ] simplifiying candidate # 253.705 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 253.706 * * [simplify]: iters left: 6 (42 enodes) 253.730 * * [simplify]: iters left: 5 (215 enodes) 253.863 * * [simplify]: Extracting #0: cost 1 inf + 0 253.863 * * [simplify]: Extracting #1: cost 3 inf + 0 253.863 * * [simplify]: Extracting #2: cost 6 inf + 0 253.863 * * [simplify]: Extracting #3: cost 10 inf + 0 253.863 * * [simplify]: Extracting #4: cost 20 inf + 0 253.863 * * [simplify]: Extracting #5: cost 119 inf + 0 253.865 * * [simplify]: Extracting #6: cost 252 inf + 44 253.867 * * [simplify]: Extracting #7: cost 281 inf + 1684 253.874 * * [simplify]: Extracting #8: cost 176 inf + 21117 253.893 * * [simplify]: Extracting #9: cost 99 inf + 43760 253.920 * * [simplify]: Extracting #10: cost 23 inf + 79007 253.954 * * [simplify]: Extracting #11: cost 1 inf + 95371 253.990 * * [simplify]: Extracting #12: cost 0 inf + 96916 254.027 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 254.027 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 254.028 * * * * [progress]: [ 592 / 4754 ] simplifiying candidate # 254.029 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 254.030 * * [simplify]: iters left: 6 (47 enodes) 254.057 * * [simplify]: iters left: 5 (245 enodes) 254.177 * * [simplify]: Extracting #0: cost 1 inf + 0 254.177 * * [simplify]: Extracting #1: cost 3 inf + 0 254.177 * * [simplify]: Extracting #2: cost 6 inf + 0 254.177 * * [simplify]: Extracting #3: cost 10 inf + 0 254.177 * * [simplify]: Extracting #4: cost 24 inf + 0 254.178 * * [simplify]: Extracting #5: cost 144 inf + 0 254.179 * * [simplify]: Extracting #6: cost 284 inf + 85 254.181 * * [simplify]: Extracting #7: cost 315 inf + 1766 254.191 * * [simplify]: Extracting #8: cost 180 inf + 32538 254.214 * * [simplify]: Extracting #9: cost 41 inf + 88412 254.239 * * [simplify]: Extracting #10: cost 8 inf + 105403 254.280 * * [simplify]: Extracting #11: cost 0 inf + 112882 254.319 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) 254.319 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 254.320 * * * * [progress]: [ 593 / 4754 ] simplifiying candidate # 254.321 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 254.321 * * [simplify]: iters left: 6 (40 enodes) 254.347 * * [simplify]: iters left: 5 (205 enodes) 254.441 * * [simplify]: Extracting #0: cost 1 inf + 0 254.441 * * [simplify]: Extracting #1: cost 3 inf + 0 254.441 * * [simplify]: Extracting #2: cost 6 inf + 0 254.441 * * [simplify]: Extracting #3: cost 10 inf + 0 254.441 * * [simplify]: Extracting #4: cost 24 inf + 0 254.442 * * [simplify]: Extracting #5: cost 119 inf + 0 254.445 * * [simplify]: Extracting #6: cost 231 inf + 44 254.447 * * [simplify]: Extracting #7: cost 254 inf + 2728 254.464 * * [simplify]: Extracting #8: cost 159 inf + 21635 254.488 * * [simplify]: Extracting #9: cost 99 inf + 40736 254.576 * * [simplify]: Extracting #10: cost 13 inf + 74120 254.607 * * [simplify]: Extracting #11: cost 4 inf + 79290 254.637 * * [simplify]: Extracting #12: cost 2 inf + 82260 254.668 * * [simplify]: Extracting #13: cost 0 inf + 85230 254.699 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) 254.699 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 254.700 * * * * [progress]: [ 594 / 4754 ] simplifiying candidate # 254.700 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 254.701 * * [simplify]: iters left: 6 (47 enodes) 254.729 * * [simplify]: iters left: 5 (245 enodes) 254.787 * * [simplify]: Extracting #0: cost 1 inf + 0 254.787 * * [simplify]: Extracting #1: cost 3 inf + 0 254.787 * * [simplify]: Extracting #2: cost 6 inf + 0 254.787 * * [simplify]: Extracting #3: cost 10 inf + 0 254.787 * * [simplify]: Extracting #4: cost 24 inf + 0 254.787 * * [simplify]: Extracting #5: cost 144 inf + 0 254.788 * * [simplify]: Extracting #6: cost 284 inf + 85 254.789 * * [simplify]: Extracting #7: cost 315 inf + 1766 254.794 * * [simplify]: Extracting #8: cost 186 inf + 30415 254.812 * * [simplify]: Extracting #9: cost 44 inf + 87701 254.831 * * [simplify]: Extracting #10: cost 8 inf + 106203 254.853 * * [simplify]: Extracting #11: cost 0 inf + 113682 254.875 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 254.875 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 254.876 * * * * [progress]: [ 595 / 4754 ] simplifiying candidate # 254.876 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 254.876 * * [simplify]: iters left: 6 (41 enodes) 254.889 * * [simplify]: iters left: 5 (208 enodes) 254.977 * * [simplify]: Extracting #0: cost 1 inf + 0 254.978 * * [simplify]: Extracting #1: cost 3 inf + 0 254.978 * * [simplify]: Extracting #2: cost 6 inf + 0 254.978 * * [simplify]: Extracting #3: cost 10 inf + 0 254.978 * * [simplify]: Extracting #4: cost 24 inf + 0 254.978 * * [simplify]: Extracting #5: cost 118 inf + 0 254.979 * * [simplify]: Extracting #6: cost 231 inf + 44 254.981 * * [simplify]: Extracting #7: cost 258 inf + 1440 254.986 * * [simplify]: Extracting #8: cost 174 inf + 14581 254.998 * * [simplify]: Extracting #9: cost 99 inf + 36600 255.026 * * [simplify]: Extracting #10: cost 12 inf + 75450 255.057 * * [simplify]: Extracting #11: cost 1 inf + 85285 255.089 * * [simplify]: Extracting #12: cost 0 inf + 86710 255.115 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 255.115 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 255.116 * * * * [progress]: [ 596 / 4754 ] simplifiying candidate # 255.117 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 255.117 * * [simplify]: iters left: 6 (48 enodes) 255.143 * * [simplify]: iters left: 5 (254 enodes) 255.260 * * [simplify]: Extracting #0: cost 1 inf + 0 255.260 * * [simplify]: Extracting #1: cost 3 inf + 0 255.260 * * [simplify]: Extracting #2: cost 6 inf + 0 255.260 * * [simplify]: Extracting #3: cost 10 inf + 0 255.260 * * [simplify]: Extracting #4: cost 20 inf + 0 255.261 * * [simplify]: Extracting #5: cost 132 inf + 0 255.263 * * [simplify]: Extracting #6: cost 300 inf + 44 255.266 * * [simplify]: Extracting #7: cost 341 inf + 2816 255.278 * * [simplify]: Extracting #8: cost 187 inf + 39028 255.312 * * [simplify]: Extracting #9: cost 49 inf + 89050 255.350 * * [simplify]: Extracting #10: cost 10 inf + 105267 255.426 * * [simplify]: Extracting #11: cost 2 inf + 110442 255.491 * * [simplify]: Extracting #12: cost 0 inf + 113732 255.533 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 255.534 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 255.535 * * * * [progress]: [ 597 / 4754 ] simplifiying candidate # 255.535 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 255.536 * * [simplify]: iters left: 6 (48 enodes) 255.564 * * [simplify]: iters left: 5 (252 enodes) 255.683 * * [simplify]: Extracting #0: cost 1 inf + 0 255.683 * * [simplify]: Extracting #1: cost 3 inf + 0 255.684 * * [simplify]: Extracting #2: cost 6 inf + 0 255.684 * * [simplify]: Extracting #3: cost 10 inf + 0 255.684 * * [simplify]: Extracting #4: cost 20 inf + 0 255.684 * * [simplify]: Extracting #5: cost 125 inf + 0 255.685 * * [simplify]: Extracting #6: cost 291 inf + 44 255.688 * * [simplify]: Extracting #7: cost 332 inf + 2209 255.696 * * [simplify]: Extracting #8: cost 208 inf + 24537 255.715 * * [simplify]: Extracting #9: cost 112 inf + 55630 255.746 * * [simplify]: Extracting #10: cost 21 inf + 92007 255.780 * * [simplify]: Extracting #11: cost 5 inf + 99100 255.816 * * [simplify]: Extracting #12: cost 2 inf + 103575 255.856 * * [simplify]: Extracting #13: cost 0 inf + 107025 255.894 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 255.894 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 255.895 * * * * [progress]: [ 598 / 4754 ] simplifiying candidate # 255.895 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 255.896 * * [simplify]: iters left: 6 (48 enodes) 255.922 * * [simplify]: iters left: 5 (252 enodes) 256.041 * * [simplify]: Extracting #0: cost 1 inf + 0 256.041 * * [simplify]: Extracting #1: cost 3 inf + 0 256.041 * * [simplify]: Extracting #2: cost 6 inf + 0 256.041 * * [simplify]: Extracting #3: cost 10 inf + 0 256.041 * * [simplify]: Extracting #4: cost 20 inf + 0 256.041 * * [simplify]: Extracting #5: cost 128 inf + 0 256.042 * * [simplify]: Extracting #6: cost 289 inf + 44 256.045 * * [simplify]: Extracting #7: cost 320 inf + 2737 256.055 * * [simplify]: Extracting #8: cost 180 inf + 30255 256.087 * * [simplify]: Extracting #9: cost 45 inf + 80956 256.124 * * [simplify]: Extracting #10: cost 9 inf + 98849 256.166 * * [simplify]: Extracting #11: cost 0 inf + 104447 256.206 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 256.206 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 256.207 * * * * [progress]: [ 599 / 4754 ] simplifiying candidate # 256.207 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 256.208 * * [simplify]: iters left: 6 (42 enodes) 256.231 * * [simplify]: iters left: 5 (220 enodes) 256.334 * * [simplify]: Extracting #0: cost 1 inf + 0 256.334 * * [simplify]: Extracting #1: cost 3 inf + 0 256.334 * * [simplify]: Extracting #2: cost 6 inf + 0 256.334 * * [simplify]: Extracting #3: cost 10 inf + 0 256.334 * * [simplify]: Extracting #4: cost 20 inf + 0 256.335 * * [simplify]: Extracting #5: cost 125 inf + 0 256.336 * * [simplify]: Extracting #6: cost 267 inf + 44 256.338 * * [simplify]: Extracting #7: cost 295 inf + 1072 256.345 * * [simplify]: Extracting #8: cost 176 inf + 23063 256.367 * * [simplify]: Extracting #9: cost 47 inf + 65362 256.399 * * [simplify]: Extracting #10: cost 4 inf + 88608 256.433 * * [simplify]: Extracting #11: cost 0 inf + 89709 256.468 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))))) 256.468 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 256.469 * * * * [progress]: [ 600 / 4754 ] simplifiying candidate # 256.469 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 256.470 * * [simplify]: iters left: 6 (47 enodes) 256.493 * * [simplify]: iters left: 5 (246 enodes) 256.597 * * [simplify]: Extracting #0: cost 1 inf + 0 256.597 * * [simplify]: Extracting #1: cost 3 inf + 0 256.597 * * [simplify]: Extracting #2: cost 6 inf + 0 256.597 * * [simplify]: Extracting #3: cost 10 inf + 0 256.597 * * [simplify]: Extracting #4: cost 24 inf + 0 256.598 * * [simplify]: Extracting #5: cost 148 inf + 0 256.599 * * [simplify]: Extracting #6: cost 287 inf + 85 256.601 * * [simplify]: Extracting #7: cost 308 inf + 2336 256.608 * * [simplify]: Extracting #8: cost 203 inf + 22071 256.619 * * [simplify]: Extracting #9: cost 121 inf + 47199 256.637 * * [simplify]: Extracting #10: cost 19 inf + 90241 256.662 * * [simplify]: Extracting #11: cost 2 inf + 98528 256.689 * * [simplify]: Extracting #12: cost 1 inf + 100233 256.719 * * [simplify]: Extracting #13: cost 0 inf + 101938 256.756 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 256.756 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 256.757 * * * * [progress]: [ 601 / 4754 ] simplifiying candidate # 256.757 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 256.758 * * [simplify]: iters left: 6 (40 enodes) 256.779 * * [simplify]: iters left: 5 (208 enodes) 256.880 * * [simplify]: Extracting #0: cost 1 inf + 0 256.880 * * [simplify]: Extracting #1: cost 3 inf + 0 256.880 * * [simplify]: Extracting #2: cost 6 inf + 0 256.880 * * [simplify]: Extracting #3: cost 10 inf + 0 256.881 * * [simplify]: Extracting #4: cost 24 inf + 0 256.881 * * [simplify]: Extracting #5: cost 128 inf + 0 256.882 * * [simplify]: Extracting #6: cost 243 inf + 44 256.884 * * [simplify]: Extracting #7: cost 266 inf + 1517 256.891 * * [simplify]: Extracting #8: cost 167 inf + 19517 256.904 * * [simplify]: Extracting #9: cost 95 inf + 39750 256.927 * * [simplify]: Extracting #10: cost 18 inf + 70421 256.957 * * [simplify]: Extracting #11: cost 1 inf + 81047 256.992 * * [simplify]: Extracting #12: cost 0 inf + 82432 257.022 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 257.022 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 257.024 * * * * [progress]: [ 602 / 4754 ] simplifiying candidate # 257.024 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 257.025 * * [simplify]: iters left: 6 (47 enodes) 257.050 * * [simplify]: iters left: 5 (246 enodes) 257.168 * * [simplify]: Extracting #0: cost 1 inf + 0 257.168 * * [simplify]: Extracting #1: cost 3 inf + 0 257.168 * * [simplify]: Extracting #2: cost 6 inf + 0 257.168 * * [simplify]: Extracting #3: cost 10 inf + 0 257.169 * * [simplify]: Extracting #4: cost 24 inf + 0 257.169 * * [simplify]: Extracting #5: cost 148 inf + 0 257.170 * * [simplify]: Extracting #6: cost 287 inf + 85 257.173 * * [simplify]: Extracting #7: cost 308 inf + 2416 257.181 * * [simplify]: Extracting #8: cost 203 inf + 23072 257.197 * * [simplify]: Extracting #9: cost 121 inf + 47879 257.228 * * [simplify]: Extracting #10: cost 19 inf + 90881 257.265 * * [simplify]: Extracting #11: cost 2 inf + 99168 257.306 * * [simplify]: Extracting #12: cost 1 inf + 100873 257.344 * * [simplify]: Extracting #13: cost 0 inf + 102578 257.385 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 257.385 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 257.386 * * * * [progress]: [ 603 / 4754 ] simplifiying candidate # 257.387 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 257.387 * * [simplify]: iters left: 6 (41 enodes) 257.409 * * [simplify]: iters left: 5 (210 enodes) 257.508 * * [simplify]: Extracting #0: cost 1 inf + 0 257.508 * * [simplify]: Extracting #1: cost 3 inf + 0 257.508 * * [simplify]: Extracting #2: cost 6 inf + 0 257.508 * * [simplify]: Extracting #3: cost 10 inf + 0 257.508 * * [simplify]: Extracting #4: cost 24 inf + 0 257.509 * * [simplify]: Extracting #5: cost 128 inf + 0 257.510 * * [simplify]: Extracting #6: cost 244 inf + 44 257.512 * * [simplify]: Extracting #7: cost 264 inf + 2485 257.521 * * [simplify]: Extracting #8: cost 160 inf + 26315 257.534 * * [simplify]: Extracting #9: cost 100 inf + 40271 257.558 * * [simplify]: Extracting #10: cost 16 inf + 71649 257.590 * * [simplify]: Extracting #11: cost 1 inf + 81411 257.624 * * [simplify]: Extracting #12: cost 0 inf + 82596 257.656 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 257.656 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 257.657 * * * * [progress]: [ 604 / 4754 ] simplifiying candidate # 257.658 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 257.658 * * [simplify]: iters left: 6 (46 enodes) 257.683 * * [simplify]: iters left: 5 (232 enodes) 257.794 * * [simplify]: Extracting #0: cost 1 inf + 0 257.794 * * [simplify]: Extracting #1: cost 3 inf + 0 257.794 * * [simplify]: Extracting #2: cost 6 inf + 0 257.794 * * [simplify]: Extracting #3: cost 10 inf + 0 257.794 * * [simplify]: Extracting #4: cost 20 inf + 0 257.794 * * [simplify]: Extracting #5: cost 123 inf + 0 257.796 * * [simplify]: Extracting #6: cost 261 inf + 44 257.798 * * [simplify]: Extracting #7: cost 306 inf + 1599 257.804 * * [simplify]: Extracting #8: cost 227 inf + 14762 257.819 * * [simplify]: Extracting #9: cost 127 inf + 45875 257.851 * * [simplify]: Extracting #10: cost 24 inf + 94027 257.890 * * [simplify]: Extracting #11: cost 0 inf + 110133 257.931 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 257.931 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 257.931 * * * * [progress]: [ 605 / 4754 ] simplifiying candidate # 257.932 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 257.932 * * [simplify]: iters left: 6 (46 enodes) 257.949 * * [simplify]: iters left: 5 (234 enodes) 258.023 * * [simplify]: Extracting #0: cost 1 inf + 0 258.023 * * [simplify]: Extracting #1: cost 3 inf + 0 258.023 * * [simplify]: Extracting #2: cost 6 inf + 0 258.023 * * [simplify]: Extracting #3: cost 10 inf + 0 258.023 * * [simplify]: Extracting #4: cost 20 inf + 0 258.023 * * [simplify]: Extracting #5: cost 124 inf + 0 258.024 * * [simplify]: Extracting #6: cost 271 inf + 44 258.026 * * [simplify]: Extracting #7: cost 316 inf + 1438 258.030 * * [simplify]: Extracting #8: cost 233 inf + 14451 258.040 * * [simplify]: Extracting #9: cost 130 inf + 46382 258.060 * * [simplify]: Extracting #10: cost 20 inf + 98184 258.086 * * [simplify]: Extracting #11: cost 0 inf + 110308 258.111 * * [simplify]: Extracting #12: cost 0 inf + 109988 258.138 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 258.138 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 258.139 * * * * [progress]: [ 606 / 4754 ] simplifiying candidate # 258.139 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 258.140 * * [simplify]: iters left: 6 (46 enodes) 258.156 * * [simplify]: iters left: 5 (234 enodes) 258.230 * * [simplify]: Extracting #0: cost 1 inf + 0 258.230 * * [simplify]: Extracting #1: cost 3 inf + 0 258.230 * * [simplify]: Extracting #2: cost 6 inf + 0 258.230 * * [simplify]: Extracting #3: cost 10 inf + 0 258.230 * * [simplify]: Extracting #4: cost 20 inf + 0 258.230 * * [simplify]: Extracting #5: cost 127 inf + 0 258.231 * * [simplify]: Extracting #6: cost 269 inf + 44 258.232 * * [simplify]: Extracting #7: cost 306 inf + 1641 258.236 * * [simplify]: Extracting #8: cost 218 inf + 16506 258.251 * * [simplify]: Extracting #9: cost 122 inf + 47588 258.284 * * [simplify]: Extracting #10: cost 15 inf + 97712 258.325 * * [simplify]: Extracting #11: cost 0 inf + 107048 258.365 * * [simplify]: Extracting #12: cost 0 inf + 106808 258.408 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))))))) 258.408 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 258.409 * * * * [progress]: [ 607 / 4754 ] simplifiying candidate # 258.410 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 258.410 * * [simplify]: iters left: 6 (40 enodes) 258.432 * * [simplify]: iters left: 5 (198 enodes) 258.520 * * [simplify]: Extracting #0: cost 1 inf + 0 258.520 * * [simplify]: Extracting #1: cost 3 inf + 0 258.520 * * [simplify]: Extracting #2: cost 6 inf + 0 258.520 * * [simplify]: Extracting #3: cost 10 inf + 0 258.520 * * [simplify]: Extracting #4: cost 20 inf + 0 258.520 * * [simplify]: Extracting #5: cost 118 inf + 0 258.521 * * [simplify]: Extracting #6: cost 232 inf + 44 258.524 * * [simplify]: Extracting #7: cost 256 inf + 1557 258.534 * * [simplify]: Extracting #8: cost 160 inf + 21681 258.557 * * [simplify]: Extracting #9: cost 29 inf + 72768 258.588 * * [simplify]: Extracting #10: cost 9 inf + 83698 258.620 * * [simplify]: Extracting #11: cost 0 inf + 87947 258.653 * * [simplify]: Extracting #12: cost 0 inf + 87667 258.685 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 258.686 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 258.687 * * * * [progress]: [ 608 / 4754 ] simplifiying candidate # 258.687 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 258.688 * * [simplify]: iters left: 6 (45 enodes) 258.707 * * [simplify]: iters left: 5 (228 enodes) 258.799 * * [simplify]: Extracting #0: cost 1 inf + 0 258.799 * * [simplify]: Extracting #1: cost 3 inf + 0 258.799 * * [simplify]: Extracting #2: cost 6 inf + 0 258.799 * * [simplify]: Extracting #3: cost 10 inf + 0 258.799 * * [simplify]: Extracting #4: cost 24 inf + 0 258.799 * * [simplify]: Extracting #5: cost 143 inf + 0 258.801 * * [simplify]: Extracting #6: cost 263 inf + 85 258.803 * * [simplify]: Extracting #7: cost 287 inf + 1723 258.810 * * [simplify]: Extracting #8: cost 199 inf + 21275 258.838 * * [simplify]: Extracting #9: cost 50 inf + 78309 258.873 * * [simplify]: Extracting #10: cost 8 inf + 99054 258.912 * * [simplify]: Extracting #11: cost 0 inf + 103469 258.951 * * [simplify]: Extracting #12: cost 0 inf + 103149 258.987 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 258.987 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 258.989 * * * * [progress]: [ 609 / 4754 ] simplifiying candidate # 258.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 258.989 * * [simplify]: iters left: 6 (38 enodes) 259.012 * * [simplify]: iters left: 5 (188 enodes) 259.092 * * [simplify]: Extracting #0: cost 1 inf + 0 259.093 * * [simplify]: Extracting #1: cost 3 inf + 0 259.093 * * [simplify]: Extracting #2: cost 6 inf + 0 259.093 * * [simplify]: Extracting #3: cost 10 inf + 0 259.093 * * [simplify]: Extracting #4: cost 24 inf + 0 259.093 * * [simplify]: Extracting #5: cost 118 inf + 0 259.094 * * [simplify]: Extracting #6: cost 210 inf + 44 259.096 * * [simplify]: Extracting #7: cost 234 inf + 1151 259.100 * * [simplify]: Extracting #8: cost 171 inf + 11041 259.111 * * [simplify]: Extracting #9: cost 87 inf + 38244 259.136 * * [simplify]: Extracting #10: cost 20 inf + 64629 259.157 * * [simplify]: Extracting #11: cost 2 inf + 74727 259.176 * * [simplify]: Extracting #12: cost 0 inf + 77537 259.205 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 259.205 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 259.206 * * * * [progress]: [ 610 / 4754 ] simplifiying candidate # 259.207 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 259.207 * * [simplify]: iters left: 6 (45 enodes) 259.232 * * [simplify]: iters left: 5 (228 enodes) 259.338 * * [simplify]: Extracting #0: cost 1 inf + 0 259.338 * * [simplify]: Extracting #1: cost 3 inf + 0 259.338 * * [simplify]: Extracting #2: cost 6 inf + 0 259.338 * * [simplify]: Extracting #3: cost 10 inf + 0 259.338 * * [simplify]: Extracting #4: cost 24 inf + 0 259.339 * * [simplify]: Extracting #5: cost 143 inf + 0 259.340 * * [simplify]: Extracting #6: cost 263 inf + 85 259.342 * * [simplify]: Extracting #7: cost 287 inf + 1723 259.348 * * [simplify]: Extracting #8: cost 200 inf + 20991 259.373 * * [simplify]: Extracting #9: cost 55 inf + 76489 259.408 * * [simplify]: Extracting #10: cost 8 inf + 99734 259.440 * * [simplify]: Extracting #11: cost 0 inf + 104109 259.464 * * [simplify]: Extracting #12: cost 0 inf + 103789 259.492 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 259.492 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 259.493 * * * * [progress]: [ 611 / 4754 ] simplifiying candidate # 259.493 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 259.494 * * [simplify]: iters left: 6 (39 enodes) 259.508 * * [simplify]: iters left: 5 (191 enodes) 259.564 * * [simplify]: Extracting #0: cost 1 inf + 0 259.564 * * [simplify]: Extracting #1: cost 3 inf + 0 259.564 * * [simplify]: Extracting #2: cost 6 inf + 0 259.564 * * [simplify]: Extracting #3: cost 10 inf + 0 259.564 * * [simplify]: Extracting #4: cost 24 inf + 0 259.565 * * [simplify]: Extracting #5: cost 118 inf + 0 259.565 * * [simplify]: Extracting #6: cost 211 inf + 44 259.566 * * [simplify]: Extracting #7: cost 234 inf + 1111 259.570 * * [simplify]: Extracting #8: cost 161 inf + 14635 259.578 * * [simplify]: Extracting #9: cost 86 inf + 38784 259.593 * * [simplify]: Extracting #10: cost 11 inf + 68079 259.611 * * [simplify]: Extracting #11: cost 4 inf + 73041 259.632 * * [simplify]: Extracting #12: cost 1 inf + 76636 259.654 * * [simplify]: Extracting #13: cost 0 inf + 77981 259.679 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 259.679 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 259.680 * * * * [progress]: [ 612 / 4754 ] simplifiying candidate # 259.681 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 259.681 * * [simplify]: iters left: 6 (49 enodes) 259.708 * * [simplify]: iters left: 5 (246 enodes) 259.811 * * [simplify]: Extracting #0: cost 1 inf + 0 259.811 * * [simplify]: Extracting #1: cost 3 inf + 0 259.811 * * [simplify]: Extracting #2: cost 6 inf + 0 259.811 * * [simplify]: Extracting #3: cost 10 inf + 0 259.811 * * [simplify]: Extracting #4: cost 20 inf + 0 259.811 * * [simplify]: Extracting #5: cost 122 inf + 0 259.812 * * [simplify]: Extracting #6: cost 270 inf + 44 259.815 * * [simplify]: Extracting #7: cost 317 inf + 1442 259.823 * * [simplify]: Extracting #8: cost 203 inf + 24897 259.845 * * [simplify]: Extracting #9: cost 67 inf + 68065 259.877 * * [simplify]: Extracting #10: cost 12 inf + 92469 259.902 * * [simplify]: Extracting #11: cost 3 inf + 99295 259.931 * * [simplify]: Extracting #12: cost 0 inf + 103570 259.968 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) 259.968 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 259.970 * * * * [progress]: [ 613 / 4754 ] simplifiying candidate # 259.970 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 259.971 * * [simplify]: iters left: 6 (49 enodes) 259.998 * * [simplify]: iters left: 5 (248 enodes) 260.113 * * [simplify]: Extracting #0: cost 1 inf + 0 260.113 * * [simplify]: Extracting #1: cost 3 inf + 0 260.113 * * [simplify]: Extracting #2: cost 6 inf + 0 260.113 * * [simplify]: Extracting #3: cost 10 inf + 0 260.113 * * [simplify]: Extracting #4: cost 20 inf + 0 260.114 * * [simplify]: Extracting #5: cost 123 inf + 0 260.115 * * [simplify]: Extracting #6: cost 282 inf + 44 260.117 * * [simplify]: Extracting #7: cost 328 inf + 1318 260.124 * * [simplify]: Extracting #8: cost 216 inf + 19885 260.141 * * [simplify]: Extracting #9: cost 130 inf + 46676 260.166 * * [simplify]: Extracting #10: cost 27 inf + 86098 260.204 * * [simplify]: Extracting #11: cost 4 inf + 99914 260.241 * * [simplify]: Extracting #12: cost 0 inf + 105014 260.279 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))))) 260.279 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 260.280 * * * * [progress]: [ 614 / 4754 ] simplifiying candidate # 260.281 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 260.281 * * [simplify]: iters left: 6 (49 enodes) 260.306 * * [simplify]: iters left: 5 (248 enodes) 260.420 * * [simplify]: Extracting #0: cost 1 inf + 0 260.420 * * [simplify]: Extracting #1: cost 3 inf + 0 260.420 * * [simplify]: Extracting #2: cost 6 inf + 0 260.420 * * [simplify]: Extracting #3: cost 10 inf + 0 260.420 * * [simplify]: Extracting #4: cost 20 inf + 0 260.420 * * [simplify]: Extracting #5: cost 126 inf + 0 260.422 * * [simplify]: Extracting #6: cost 281 inf + 44 260.424 * * [simplify]: Extracting #7: cost 320 inf + 1523 260.433 * * [simplify]: Extracting #8: cost 182 inf + 29323 260.459 * * [simplify]: Extracting #9: cost 49 inf + 75742 260.490 * * [simplify]: Extracting #10: cost 5 inf + 96933 260.521 * * [simplify]: Extracting #11: cost 0 inf + 100939 260.545 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))))) 260.545 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 260.546 * * * * [progress]: [ 615 / 4754 ] simplifiying candidate # 260.546 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 260.547 * * [simplify]: iters left: 6 (43 enodes) 260.561 * * [simplify]: iters left: 5 (212 enodes) 260.629 * * [simplify]: Extracting #0: cost 1 inf + 0 260.629 * * [simplify]: Extracting #1: cost 3 inf + 0 260.629 * * [simplify]: Extracting #2: cost 6 inf + 0 260.629 * * [simplify]: Extracting #3: cost 10 inf + 0 260.629 * * [simplify]: Extracting #4: cost 20 inf + 0 260.629 * * [simplify]: Extracting #5: cost 117 inf + 0 260.630 * * [simplify]: Extracting #6: cost 244 inf + 44 260.632 * * [simplify]: Extracting #7: cost 263 inf + 2736 260.638 * * [simplify]: Extracting #8: cost 136 inf + 28765 260.656 * * [simplify]: Extracting #9: cost 30 inf + 66595 260.676 * * [simplify]: Extracting #10: cost 3 inf + 79803 260.697 * * [simplify]: Extracting #11: cost 0 inf + 84518 260.731 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 260.731 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 260.732 * * * * [progress]: [ 616 / 4754 ] simplifiying candidate # 260.732 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 260.733 * * [simplify]: iters left: 6 (48 enodes) 260.758 * * [simplify]: iters left: 5 (242 enodes) 260.861 * * [simplify]: Extracting #0: cost 1 inf + 0 260.861 * * [simplify]: Extracting #1: cost 3 inf + 0 260.861 * * [simplify]: Extracting #2: cost 6 inf + 0 260.861 * * [simplify]: Extracting #3: cost 10 inf + 0 260.861 * * [simplify]: Extracting #4: cost 24 inf + 0 260.861 * * [simplify]: Extracting #5: cost 142 inf + 0 260.863 * * [simplify]: Extracting #6: cost 273 inf + 85 260.864 * * [simplify]: Extracting #7: cost 294 inf + 2254 260.867 * * [simplify]: Extracting #8: cost 211 inf + 17211 260.876 * * [simplify]: Extracting #9: cost 142 inf + 36390 260.891 * * [simplify]: Extracting #10: cost 33 inf + 78513 260.924 * * [simplify]: Extracting #11: cost 2 inf + 94420 260.958 * * [simplify]: Extracting #12: cost 0 inf + 97790 260.993 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 260.993 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 260.994 * * * * [progress]: [ 617 / 4754 ] simplifiying candidate # 260.995 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 260.995 * * [simplify]: iters left: 6 (41 enodes) 261.019 * * [simplify]: iters left: 5 (204 enodes) 261.102 * * [simplify]: Extracting #0: cost 1 inf + 0 261.102 * * [simplify]: Extracting #1: cost 3 inf + 0 261.102 * * [simplify]: Extracting #2: cost 6 inf + 0 261.102 * * [simplify]: Extracting #3: cost 10 inf + 0 261.102 * * [simplify]: Extracting #4: cost 24 inf + 0 261.102 * * [simplify]: Extracting #5: cost 127 inf + 0 261.103 * * [simplify]: Extracting #6: cost 234 inf + 44 261.105 * * [simplify]: Extracting #7: cost 262 inf + 826 261.111 * * [simplify]: Extracting #8: cost 160 inf + 21988 261.136 * * [simplify]: Extracting #9: cost 30 inf + 64053 261.165 * * [simplify]: Extracting #10: cost 3 inf + 78386 261.194 * * [simplify]: Extracting #11: cost 0 inf + 79324 261.223 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 261.224 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 261.225 * * * * [progress]: [ 618 / 4754 ] simplifiying candidate # 261.225 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 261.226 * * [simplify]: iters left: 6 (48 enodes) 261.251 * * [simplify]: iters left: 5 (242 enodes) 261.345 * * [simplify]: Extracting #0: cost 1 inf + 0 261.345 * * [simplify]: Extracting #1: cost 3 inf + 0 261.345 * * [simplify]: Extracting #2: cost 6 inf + 0 261.346 * * [simplify]: Extracting #3: cost 10 inf + 0 261.346 * * [simplify]: Extracting #4: cost 24 inf + 0 261.346 * * [simplify]: Extracting #5: cost 142 inf + 0 261.347 * * [simplify]: Extracting #6: cost 273 inf + 85 261.350 * * [simplify]: Extracting #7: cost 295 inf + 2133 261.356 * * [simplify]: Extracting #8: cost 213 inf + 17003 261.368 * * [simplify]: Extracting #9: cost 144 inf + 36342 261.393 * * [simplify]: Extracting #10: cost 33 inf + 79153 261.431 * * [simplify]: Extracting #11: cost 2 inf + 95060 261.466 * * [simplify]: Extracting #12: cost 0 inf + 98430 261.500 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 261.500 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 261.501 * * * * [progress]: [ 619 / 4754 ] simplifiying candidate # 261.502 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 261.502 * * [simplify]: iters left: 6 (42 enodes) 261.525 * * [simplify]: iters left: 5 (206 enodes) 261.612 * * [simplify]: Extracting #0: cost 1 inf + 0 261.612 * * [simplify]: Extracting #1: cost 3 inf + 0 261.612 * * [simplify]: Extracting #2: cost 6 inf + 0 261.612 * * [simplify]: Extracting #3: cost 10 inf + 0 261.612 * * [simplify]: Extracting #4: cost 24 inf + 0 261.613 * * [simplify]: Extracting #5: cost 127 inf + 0 261.614 * * [simplify]: Extracting #6: cost 235 inf + 44 261.615 * * [simplify]: Extracting #7: cost 262 inf + 988 261.618 * * [simplify]: Extracting #8: cost 164 inf + 20930 261.633 * * [simplify]: Extracting #9: cost 22 inf + 68982 261.658 * * [simplify]: Extracting #10: cost 2 inf + 78491 261.677 * * [simplify]: Extracting #11: cost 0 inf + 79088 261.700 * * [simplify]: Extracting #12: cost 0 inf + 78888 261.725 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 261.725 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 261.726 * * * * [progress]: [ 620 / 4754 ] simplifiying candidate # 261.726 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 261.727 * * [simplify]: iters left: 6 (46 enodes) 261.752 * * [simplify]: iters left: 5 (233 enodes) 261.825 * * [simplify]: Extracting #0: cost 1 inf + 0 261.825 * * [simplify]: Extracting #1: cost 3 inf + 0 261.825 * * [simplify]: Extracting #2: cost 6 inf + 0 261.825 * * [simplify]: Extracting #3: cost 10 inf + 0 261.825 * * [simplify]: Extracting #4: cost 20 inf + 0 261.826 * * [simplify]: Extracting #5: cost 123 inf + 0 261.827 * * [simplify]: Extracting #6: cost 257 inf + 44 261.829 * * [simplify]: Extracting #7: cost 312 inf + 1270 261.834 * * [simplify]: Extracting #8: cost 245 inf + 14789 261.845 * * [simplify]: Extracting #9: cost 152 inf + 40617 261.872 * * [simplify]: Extracting #10: cost 37 inf + 83430 261.909 * * [simplify]: Extracting #11: cost 2 inf + 106083 261.949 * * [simplify]: Extracting #12: cost 0 inf + 109333 261.992 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 261.992 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 261.993 * * * * [progress]: [ 621 / 4754 ] simplifiying candidate # 261.994 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 261.995 * * [simplify]: iters left: 6 (46 enodes) 262.020 * * [simplify]: iters left: 5 (235 enodes) 262.123 * * [simplify]: Extracting #0: cost 1 inf + 0 262.123 * * [simplify]: Extracting #1: cost 3 inf + 0 262.123 * * [simplify]: Extracting #2: cost 6 inf + 0 262.124 * * [simplify]: Extracting #3: cost 10 inf + 0 262.124 * * [simplify]: Extracting #4: cost 20 inf + 0 262.124 * * [simplify]: Extracting #5: cost 124 inf + 0 262.125 * * [simplify]: Extracting #6: cost 268 inf + 44 262.128 * * [simplify]: Extracting #7: cost 322 inf + 1229 262.134 * * [simplify]: Extracting #8: cost 234 inf + 22104 262.151 * * [simplify]: Extracting #9: cost 113 inf + 62828 262.184 * * [simplify]: Extracting #10: cost 17 inf + 93538 262.209 * * [simplify]: Extracting #11: cost 3 inf + 105258 262.246 * * [simplify]: Extracting #12: cost 0 inf + 109853 262.272 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 262.272 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 262.273 * * * * [progress]: [ 622 / 4754 ] simplifiying candidate # 262.273 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 262.274 * * [simplify]: iters left: 6 (46 enodes) 262.296 * * [simplify]: iters left: 5 (235 enodes) 262.406 * * [simplify]: Extracting #0: cost 1 inf + 0 262.406 * * [simplify]: Extracting #1: cost 3 inf + 0 262.406 * * [simplify]: Extracting #2: cost 6 inf + 0 262.406 * * [simplify]: Extracting #3: cost 10 inf + 0 262.406 * * [simplify]: Extracting #4: cost 20 inf + 0 262.407 * * [simplify]: Extracting #5: cost 127 inf + 0 262.408 * * [simplify]: Extracting #6: cost 266 inf + 44 262.410 * * [simplify]: Extracting #7: cost 317 inf + 904 262.417 * * [simplify]: Extracting #8: cost 222 inf + 25779 262.439 * * [simplify]: Extracting #9: cost 70 inf + 75364 262.473 * * [simplify]: Extracting #10: cost 8 inf + 99256 262.511 * * [simplify]: Extracting #11: cost 0 inf + 106553 262.554 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 262.554 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 262.555 * * * * [progress]: [ 623 / 4754 ] simplifiying candidate # 262.555 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 262.556 * * [simplify]: iters left: 6 (40 enodes) 262.570 * * [simplify]: iters left: 5 (199 enodes) 262.638 * * [simplify]: Extracting #0: cost 1 inf + 0 262.638 * * [simplify]: Extracting #1: cost 3 inf + 0 262.639 * * [simplify]: Extracting #2: cost 6 inf + 0 262.639 * * [simplify]: Extracting #3: cost 10 inf + 0 262.639 * * [simplify]: Extracting #4: cost 20 inf + 0 262.639 * * [simplify]: Extracting #5: cost 118 inf + 0 262.640 * * [simplify]: Extracting #6: cost 229 inf + 44 262.642 * * [simplify]: Extracting #7: cost 262 inf + 1550 262.652 * * [simplify]: Extracting #8: cost 187 inf + 24547 262.668 * * [simplify]: Extracting #9: cost 87 inf + 62337 262.694 * * [simplify]: Extracting #10: cost 16 inf + 77715 262.725 * * [simplify]: Extracting #11: cost 4 inf + 82352 262.757 * * [simplify]: Extracting #12: cost 1 inf + 85987 262.789 * * [simplify]: Extracting #13: cost 0 inf + 87492 262.822 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))))))) 262.822 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 262.824 * * * * [progress]: [ 624 / 4754 ] simplifiying candidate # 262.824 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 262.825 * * [simplify]: iters left: 6 (45 enodes) 262.850 * * [simplify]: iters left: 5 (229 enodes) 262.954 * * [simplify]: Extracting #0: cost 1 inf + 0 262.954 * * [simplify]: Extracting #1: cost 3 inf + 0 262.954 * * [simplify]: Extracting #2: cost 6 inf + 0 262.954 * * [simplify]: Extracting #3: cost 10 inf + 0 262.954 * * [simplify]: Extracting #4: cost 24 inf + 0 262.955 * * [simplify]: Extracting #5: cost 143 inf + 0 262.956 * * [simplify]: Extracting #6: cost 260 inf + 44 262.961 * * [simplify]: Extracting #7: cost 296 inf + 1190 262.966 * * [simplify]: Extracting #8: cost 229 inf + 20018 262.984 * * [simplify]: Extracting #9: cost 89 inf + 77928 263.014 * * [simplify]: Extracting #10: cost 16 inf + 88770 263.053 * * [simplify]: Extracting #11: cost 2 inf + 99699 263.091 * * [simplify]: Extracting #12: cost 0 inf + 102509 263.128 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 263.128 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 263.129 * * * * [progress]: [ 625 / 4754 ] simplifiying candidate # 263.129 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 263.130 * * [simplify]: iters left: 6 (38 enodes) 263.150 * * [simplify]: iters left: 5 (190 enodes) 263.211 * * [simplify]: Extracting #0: cost 1 inf + 0 263.211 * * [simplify]: Extracting #1: cost 3 inf + 0 263.211 * * [simplify]: Extracting #2: cost 6 inf + 0 263.211 * * [simplify]: Extracting #3: cost 10 inf + 0 263.211 * * [simplify]: Extracting #4: cost 24 inf + 0 263.212 * * [simplify]: Extracting #5: cost 118 inf + 0 263.212 * * [simplify]: Extracting #6: cost 208 inf + 44 263.213 * * [simplify]: Extracting #7: cost 242 inf + 660 263.214 * * [simplify]: Extracting #8: cost 199 inf + 9702 263.220 * * [simplify]: Extracting #9: cost 84 inf + 42177 263.235 * * [simplify]: Extracting #10: cost 12 inf + 67611 263.251 * * [simplify]: Extracting #11: cost 1 inf + 77606 263.267 * * [simplify]: Extracting #12: cost 0 inf + 79071 263.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 263.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 263.283 * * * * [progress]: [ 626 / 4754 ] simplifiying candidate # 263.283 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 263.284 * * [simplify]: iters left: 6 (45 enodes) 263.302 * * [simplify]: iters left: 5 (229 enodes) 263.356 * * [simplify]: Extracting #0: cost 1 inf + 0 263.356 * * [simplify]: Extracting #1: cost 3 inf + 0 263.356 * * [simplify]: Extracting #2: cost 6 inf + 0 263.356 * * [simplify]: Extracting #3: cost 10 inf + 0 263.356 * * [simplify]: Extracting #4: cost 24 inf + 0 263.356 * * [simplify]: Extracting #5: cost 143 inf + 0 263.357 * * [simplify]: Extracting #6: cost 260 inf + 44 263.358 * * [simplify]: Extracting #7: cost 295 inf + 1272 263.360 * * [simplify]: Extracting #8: cost 226 inf + 20747 263.378 * * [simplify]: Extracting #9: cost 54 inf + 94047 263.403 * * [simplify]: Extracting #10: cost 3 inf + 103836 263.424 * * [simplify]: Extracting #11: cost 0 inf + 104351 263.444 * * [simplify]: Extracting #12: cost 0 inf + 103629 263.467 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 263.467 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 263.468 * * * * [progress]: [ 627 / 4754 ] simplifiying candidate # 263.469 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 263.469 * * [simplify]: iters left: 6 (39 enodes) 263.489 * * [simplify]: iters left: 5 (193 enodes) 263.557 * * [simplify]: Extracting #0: cost 1 inf + 0 263.557 * * [simplify]: Extracting #1: cost 3 inf + 0 263.558 * * [simplify]: Extracting #2: cost 6 inf + 0 263.558 * * [simplify]: Extracting #3: cost 10 inf + 0 263.558 * * [simplify]: Extracting #4: cost 24 inf + 0 263.558 * * [simplify]: Extracting #5: cost 118 inf + 0 263.559 * * [simplify]: Extracting #6: cost 209 inf + 44 263.560 * * [simplify]: Extracting #7: cost 244 inf + 618 263.561 * * [simplify]: Extracting #8: cost 196 inf + 12581 263.565 * * [simplify]: Extracting #9: cost 130 inf + 25343 263.575 * * [simplify]: Extracting #10: cost 23 inf + 63494 263.590 * * [simplify]: Extracting #11: cost 3 inf + 75360 263.605 * * [simplify]: Extracting #12: cost 1 inf + 78010 263.635 * * [simplify]: Extracting #13: cost 0 inf + 79355 263.654 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 263.654 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 263.654 * * * * [progress]: [ 628 / 4754 ] simplifiying candidate # 263.655 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 263.655 * * [simplify]: iters left: 6 (49 enodes) 263.669 * * [simplify]: iters left: 5 (246 enodes) 263.740 * * [simplify]: Extracting #0: cost 1 inf + 0 263.740 * * [simplify]: Extracting #1: cost 3 inf + 0 263.740 * * [simplify]: Extracting #2: cost 6 inf + 0 263.740 * * [simplify]: Extracting #3: cost 10 inf + 0 263.740 * * [simplify]: Extracting #4: cost 20 inf + 0 263.740 * * [simplify]: Extracting #5: cost 122 inf + 0 263.741 * * [simplify]: Extracting #6: cost 274 inf + 44 263.743 * * [simplify]: Extracting #7: cost 317 inf + 1483 263.751 * * [simplify]: Extracting #8: cost 209 inf + 23519 263.774 * * [simplify]: Extracting #9: cost 65 inf + 69692 263.791 * * [simplify]: Extracting #10: cost 12 inf + 94029 263.811 * * [simplify]: Extracting #11: cost 3 inf + 100895 263.832 * * [simplify]: Extracting #12: cost 0 inf + 104770 263.858 * * [simplify]: Extracting #13: cost 0 inf + 104530 263.894 * * [simplify]: Extracting #14: cost 0 inf + 104450 263.933 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) 263.933 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 263.934 * * * * [progress]: [ 629 / 4754 ] simplifiying candidate # 263.935 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 263.935 * * [simplify]: iters left: 6 (49 enodes) 263.964 * * [simplify]: iters left: 5 (248 enodes) 264.057 * * [simplify]: Extracting #0: cost 1 inf + 0 264.057 * * [simplify]: Extracting #1: cost 3 inf + 0 264.057 * * [simplify]: Extracting #2: cost 6 inf + 0 264.057 * * [simplify]: Extracting #3: cost 10 inf + 0 264.057 * * [simplify]: Extracting #4: cost 20 inf + 0 264.057 * * [simplify]: Extracting #5: cost 123 inf + 0 264.058 * * [simplify]: Extracting #6: cost 286 inf + 44 264.059 * * [simplify]: Extracting #7: cost 329 inf + 1279 264.064 * * [simplify]: Extracting #8: cost 218 inf + 20045 264.076 * * [simplify]: Extracting #9: cost 129 inf + 47501 264.097 * * [simplify]: Extracting #10: cost 25 inf + 87668 264.115 * * [simplify]: Extracting #11: cost 3 inf + 100779 264.134 * * [simplify]: Extracting #12: cost 0 inf + 104854 264.155 * * [simplify]: Extracting #13: cost 0 inf + 104694 264.182 * * [simplify]: Extracting #14: cost 0 inf + 104614 264.209 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))))) 264.209 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 264.209 * * * * [progress]: [ 630 / 4754 ] simplifiying candidate # 264.210 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 264.210 * * [simplify]: iters left: 6 (49 enodes) 264.225 * * [simplify]: iters left: 5 (248 enodes) 264.309 * * [simplify]: Extracting #0: cost 1 inf + 0 264.309 * * [simplify]: Extracting #1: cost 3 inf + 0 264.309 * * [simplify]: Extracting #2: cost 6 inf + 0 264.310 * * [simplify]: Extracting #3: cost 10 inf + 0 264.310 * * [simplify]: Extracting #4: cost 20 inf + 0 264.310 * * [simplify]: Extracting #5: cost 126 inf + 0 264.311 * * [simplify]: Extracting #6: cost 285 inf + 44 264.314 * * [simplify]: Extracting #7: cost 318 inf + 1808 264.320 * * [simplify]: Extracting #8: cost 196 inf + 25565 264.332 * * [simplify]: Extracting #9: cost 50 inf + 77337 264.355 * * [simplify]: Extracting #10: cost 4 inf + 99305 264.395 * * [simplify]: Extracting #11: cost 0 inf + 102419 264.419 * * [simplify]: Extracting #12: cost 0 inf + 101979 264.440 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) 264.440 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 264.440 * * * * [progress]: [ 631 / 4754 ] simplifiying candidate # 264.441 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 264.441 * * [simplify]: iters left: 6 (43 enodes) 264.465 * * [simplify]: iters left: 5 (212 enodes) 264.554 * * [simplify]: Extracting #0: cost 1 inf + 0 264.554 * * [simplify]: Extracting #1: cost 3 inf + 0 264.554 * * [simplify]: Extracting #2: cost 6 inf + 0 264.554 * * [simplify]: Extracting #3: cost 10 inf + 0 264.554 * * [simplify]: Extracting #4: cost 20 inf + 0 264.555 * * [simplify]: Extracting #5: cost 117 inf + 0 264.555 * * [simplify]: Extracting #6: cost 248 inf + 44 264.556 * * [simplify]: Extracting #7: cost 262 inf + 2818 264.561 * * [simplify]: Extracting #8: cost 138 inf + 28656 264.572 * * [simplify]: Extracting #9: cost 40 inf + 62105 264.587 * * [simplify]: Extracting #10: cost 4 inf + 80738 264.605 * * [simplify]: Extracting #11: cost 0 inf + 84638 264.621 * * [simplify]: Extracting #12: cost 0 inf + 84518 264.637 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))) 264.637 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 264.638 * * * * [progress]: [ 632 / 4754 ] simplifiying candidate # 264.638 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 264.638 * * [simplify]: iters left: 6 (48 enodes) 264.653 * * [simplify]: iters left: 5 (242 enodes) 264.740 * * [simplify]: Extracting #0: cost 1 inf + 0 264.740 * * [simplify]: Extracting #1: cost 3 inf + 0 264.740 * * [simplify]: Extracting #2: cost 6 inf + 0 264.740 * * [simplify]: Extracting #3: cost 10 inf + 0 264.741 * * [simplify]: Extracting #4: cost 24 inf + 0 264.741 * * [simplify]: Extracting #5: cost 142 inf + 0 264.741 * * [simplify]: Extracting #6: cost 277 inf + 85 264.743 * * [simplify]: Extracting #7: cost 294 inf + 2295 264.746 * * [simplify]: Extracting #8: cost 221 inf + 14184 264.751 * * [simplify]: Extracting #9: cost 143 inf + 35328 264.768 * * [simplify]: Extracting #10: cost 31 inf + 80616 264.802 * * [simplify]: Extracting #11: cost 2 inf + 94580 264.837 * * [simplify]: Extracting #12: cost 0 inf + 97630 264.856 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 264.856 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 264.857 * * * * [progress]: [ 633 / 4754 ] simplifiying candidate # 264.857 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 264.857 * * [simplify]: iters left: 6 (41 enodes) 264.876 * * [simplify]: iters left: 5 (204 enodes) 264.924 * * [simplify]: Extracting #0: cost 1 inf + 0 264.924 * * [simplify]: Extracting #1: cost 3 inf + 0 264.925 * * [simplify]: Extracting #2: cost 6 inf + 0 264.925 * * [simplify]: Extracting #3: cost 10 inf + 0 264.925 * * [simplify]: Extracting #4: cost 24 inf + 0 264.925 * * [simplify]: Extracting #5: cost 127 inf + 0 264.926 * * [simplify]: Extracting #6: cost 238 inf + 44 264.928 * * [simplify]: Extracting #7: cost 256 inf + 2281 264.932 * * [simplify]: Extracting #8: cost 133 inf + 29144 264.943 * * [simplify]: Extracting #9: cost 28 inf + 65263 264.960 * * [simplify]: Extracting #10: cost 3 inf + 78786 264.987 * * [simplify]: Extracting #11: cost 0 inf + 79564 265.014 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 265.014 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 265.015 * * * * [progress]: [ 634 / 4754 ] simplifiying candidate # 265.016 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 265.016 * * [simplify]: iters left: 6 (48 enodes) 265.046 * * [simplify]: iters left: 5 (242 enodes) 265.163 * * [simplify]: Extracting #0: cost 1 inf + 0 265.163 * * [simplify]: Extracting #1: cost 3 inf + 0 265.163 * * [simplify]: Extracting #2: cost 6 inf + 0 265.164 * * [simplify]: Extracting #3: cost 10 inf + 0 265.164 * * [simplify]: Extracting #4: cost 24 inf + 0 265.164 * * [simplify]: Extracting #5: cost 142 inf + 0 265.165 * * [simplify]: Extracting #6: cost 277 inf + 85 265.168 * * [simplify]: Extracting #7: cost 295 inf + 2174 265.173 * * [simplify]: Extracting #8: cost 223 inf + 14057 265.187 * * [simplify]: Extracting #9: cost 144 inf + 35644 265.212 * * [simplify]: Extracting #10: cost 31 inf + 81256 265.245 * * [simplify]: Extracting #11: cost 2 inf + 95220 265.281 * * [simplify]: Extracting #12: cost 0 inf + 98270 265.311 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 265.312 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 265.312 * * * * [progress]: [ 635 / 4754 ] simplifiying candidate # 265.312 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 265.313 * * [simplify]: iters left: 6 (42 enodes) 265.324 * * [simplify]: iters left: 5 (206 enodes) 265.403 * * [simplify]: Extracting #0: cost 1 inf + 0 265.403 * * [simplify]: Extracting #1: cost 3 inf + 0 265.403 * * [simplify]: Extracting #2: cost 6 inf + 0 265.403 * * [simplify]: Extracting #3: cost 10 inf + 0 265.403 * * [simplify]: Extracting #4: cost 24 inf + 0 265.404 * * [simplify]: Extracting #5: cost 127 inf + 0 265.405 * * [simplify]: Extracting #6: cost 239 inf + 44 265.406 * * [simplify]: Extracting #7: cost 261 inf + 1110 265.414 * * [simplify]: Extracting #8: cost 152 inf + 23865 265.426 * * [simplify]: Extracting #9: cost 22 inf + 68898 265.443 * * [simplify]: Extracting #10: cost 2 inf + 79411 265.464 * * [simplify]: Extracting #11: cost 0 inf + 80448 265.494 * * [simplify]: Extracting #12: cost 0 inf + 80328 265.525 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))))) 265.525 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 265.526 * * * * [progress]: [ 636 / 4754 ] simplifiying candidate # 265.527 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 265.527 * * [simplify]: iters left: 6 (39 enodes) 265.549 * * [simplify]: iters left: 5 (197 enodes) 265.638 * * [simplify]: Extracting #0: cost 1 inf + 0 265.638 * * [simplify]: Extracting #1: cost 3 inf + 0 265.638 * * [simplify]: Extracting #2: cost 6 inf + 0 265.638 * * [simplify]: Extracting #3: cost 10 inf + 0 265.638 * * [simplify]: Extracting #4: cost 20 inf + 0 265.638 * * [simplify]: Extracting #5: cost 111 inf + 0 265.639 * * [simplify]: Extracting #6: cost 228 inf + 46 265.641 * * [simplify]: Extracting #7: cost 239 inf + 4252 265.646 * * [simplify]: Extracting #8: cost 136 inf + 27949 265.656 * * [simplify]: Extracting #9: cost 24 inf + 62925 265.669 * * [simplify]: Extracting #10: cost 4 inf + 72161 265.694 * * [simplify]: Extracting #11: cost 3 inf + 72302 265.722 * * [simplify]: Extracting #12: cost 0 inf + 76159 265.737 * * [simplify]: Extracting #13: cost 0 inf + 76046 265.759 * * [simplify]: Extracting #14: cost 0 inf + 75806 265.788 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 265.788 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 265.789 * * * * [progress]: [ 637 / 4754 ] simplifiying candidate # 265.789 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 265.790 * * [simplify]: iters left: 6 (39 enodes) 265.810 * * [simplify]: iters left: 5 (195 enodes) 265.861 * * [simplify]: Extracting #0: cost 1 inf + 0 265.861 * * [simplify]: Extracting #1: cost 3 inf + 0 265.861 * * [simplify]: Extracting #2: cost 6 inf + 0 265.861 * * [simplify]: Extracting #3: cost 10 inf + 0 265.862 * * [simplify]: Extracting #4: cost 23 inf + 0 265.862 * * [simplify]: Extracting #5: cost 118 inf + 0 265.862 * * [simplify]: Extracting #6: cost 229 inf + 44 265.863 * * [simplify]: Extracting #7: cost 236 inf + 6597 265.866 * * [simplify]: Extracting #8: cost 141 inf + 25738 265.877 * * [simplify]: Extracting #9: cost 29 inf + 61039 265.890 * * [simplify]: Extracting #10: cost 5 inf + 69901 265.905 * * [simplify]: Extracting #11: cost 0 inf + 73211 265.920 * * [simplify]: Extracting #12: cost 0 inf + 73131 265.937 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 265.937 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 265.938 * * * * [progress]: [ 638 / 4754 ] simplifiying candidate # 265.938 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 265.938 * * [simplify]: iters left: 6 (42 enodes) 265.950 * * [simplify]: iters left: 5 (213 enodes) 266.028 * * [simplify]: Extracting #0: cost 1 inf + 0 266.028 * * [simplify]: Extracting #1: cost 3 inf + 0 266.028 * * [simplify]: Extracting #2: cost 6 inf + 0 266.028 * * [simplify]: Extracting #3: cost 10 inf + 0 266.028 * * [simplify]: Extracting #4: cost 20 inf + 0 266.029 * * [simplify]: Extracting #5: cost 126 inf + 0 266.029 * * [simplify]: Extracting #6: cost 232 inf + 1 266.030 * * [simplify]: Extracting #7: cost 293 inf + 494 266.034 * * [simplify]: Extracting #8: cost 217 inf + 18627 266.040 * * [simplify]: Extracting #9: cost 152 inf + 39439 266.056 * * [simplify]: Extracting #10: cost 45 inf + 79622 266.085 * * [simplify]: Extracting #11: cost 2 inf + 105160 266.109 * * [simplify]: Extracting #12: cost 0 inf + 107370 266.146 * * [simplify]: Extracting #13: cost 0 inf + 107290 266.179 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)))))) 266.179 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 266.181 * * * * [progress]: [ 639 / 4754 ] simplifiying candidate # 266.181 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 266.182 * * [simplify]: iters left: 6 (43 enodes) 266.204 * * [simplify]: iters left: 5 (218 enodes) 266.280 * * [simplify]: Extracting #0: cost 1 inf + 0 266.281 * * [simplify]: Extracting #1: cost 3 inf + 0 266.281 * * [simplify]: Extracting #2: cost 6 inf + 0 266.281 * * [simplify]: Extracting #3: cost 10 inf + 0 266.281 * * [simplify]: Extracting #4: cost 20 inf + 0 266.281 * * [simplify]: Extracting #5: cost 125 inf + 0 266.282 * * [simplify]: Extracting #6: cost 244 inf + 1 266.284 * * [simplify]: Extracting #7: cost 295 inf + 1266 266.289 * * [simplify]: Extracting #8: cost 217 inf + 17580 266.301 * * [simplify]: Extracting #9: cost 137 inf + 40961 266.314 * * [simplify]: Extracting #10: cost 47 inf + 75974 266.332 * * [simplify]: Extracting #11: cost 10 inf + 95612 266.371 * * [simplify]: Extracting #12: cost 2 inf + 104370 266.406 * * [simplify]: Extracting #13: cost 1 inf + 105955 266.426 * * [simplify]: Extracting #14: cost 0 inf + 107540 266.460 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 266.460 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 266.462 * * * * [progress]: [ 640 / 4754 ] simplifiying candidate # 266.462 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 266.463 * * [simplify]: iters left: 6 (43 enodes) 266.487 * * [simplify]: iters left: 5 (220 enodes) 266.567 * * [simplify]: Extracting #0: cost 1 inf + 0 266.567 * * [simplify]: Extracting #1: cost 3 inf + 0 266.567 * * [simplify]: Extracting #2: cost 6 inf + 0 266.567 * * [simplify]: Extracting #3: cost 10 inf + 0 266.567 * * [simplify]: Extracting #4: cost 20 inf + 0 266.568 * * [simplify]: Extracting #5: cost 126 inf + 0 266.569 * * [simplify]: Extracting #6: cost 257 inf + 1 266.571 * * [simplify]: Extracting #7: cost 298 inf + 1712 266.576 * * [simplify]: Extracting #8: cost 225 inf + 19528 266.590 * * [simplify]: Extracting #9: cost 132 inf + 46334 266.623 * * [simplify]: Extracting #10: cost 13 inf + 100630 267.229 * * [simplify]: Extracting #11: cost 4 inf + 105541 267.261 * * [simplify]: Extracting #12: cost 1 inf + 110096 267.284 * * [simplify]: Extracting #13: cost 0 inf + 111841 267.325 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 267.325 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 267.326 * * * * [progress]: [ 641 / 4754 ] simplifiying candidate # 267.327 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 267.327 * * [simplify]: iters left: 6 (43 enodes) 267.351 * * [simplify]: iters left: 5 (222 enodes) 267.435 * * [simplify]: Extracting #0: cost 1 inf + 0 267.435 * * [simplify]: Extracting #1: cost 3 inf + 0 267.435 * * [simplify]: Extracting #2: cost 6 inf + 0 267.435 * * [simplify]: Extracting #3: cost 10 inf + 0 267.435 * * [simplify]: Extracting #4: cost 20 inf + 0 267.435 * * [simplify]: Extracting #5: cost 128 inf + 0 267.436 * * [simplify]: Extracting #6: cost 247 inf + 44 267.437 * * [simplify]: Extracting #7: cost 278 inf + 1880 267.440 * * [simplify]: Extracting #8: cost 205 inf + 26885 267.450 * * [simplify]: Extracting #9: cost 85 inf + 71944 267.471 * * [simplify]: Extracting #10: cost 14 inf + 93413 267.490 * * [simplify]: Extracting #11: cost 0 inf + 101611 267.517 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 267.517 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 267.518 * * * * [progress]: [ 642 / 4754 ] simplifiying candidate # 267.519 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 267.519 * * [simplify]: iters left: 6 (40 enodes) 267.536 * * [simplify]: iters left: 5 (193 enodes) 267.593 * * [simplify]: Extracting #0: cost 1 inf + 0 267.593 * * [simplify]: Extracting #1: cost 4 inf + 0 267.593 * * [simplify]: Extracting #2: cost 7 inf + 0 267.594 * * [simplify]: Extracting #3: cost 14 inf + 0 267.594 * * [simplify]: Extracting #4: cost 85 inf + 0 267.594 * * [simplify]: Extracting #5: cost 172 inf + 42 267.595 * * [simplify]: Extracting #6: cost 219 inf + 207 267.597 * * [simplify]: Extracting #7: cost 167 inf + 19412 267.603 * * [simplify]: Extracting #8: cost 56 inf + 54616 267.616 * * [simplify]: Extracting #9: cost 5 inf + 68381 267.633 * * [simplify]: Extracting #10: cost 0 inf + 72160 267.652 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 267.652 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 267.653 * * * * [progress]: [ 643 / 4754 ] simplifiying candidate # 267.653 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 267.653 * * [simplify]: iters left: 6 (42 enodes) 267.667 * * [simplify]: iters left: 5 (214 enodes) 267.753 * * [simplify]: Extracting #0: cost 1 inf + 0 267.753 * * [simplify]: Extracting #1: cost 3 inf + 0 267.753 * * [simplify]: Extracting #2: cost 6 inf + 0 267.753 * * [simplify]: Extracting #3: cost 10 inf + 0 267.753 * * [simplify]: Extracting #4: cost 24 inf + 0 267.754 * * [simplify]: Extracting #5: cost 132 inf + 0 267.754 * * [simplify]: Extracting #6: cost 237 inf + 44 267.755 * * [simplify]: Extracting #7: cost 267 inf + 1961 267.758 * * [simplify]: Extracting #8: cost 197 inf + 24445 267.771 * * [simplify]: Extracting #9: cost 44 inf + 87476 267.791 * * [simplify]: Extracting #10: cost 10 inf + 88803 267.819 * * [simplify]: Extracting #11: cost 2 inf + 93385 267.838 * * [simplify]: Extracting #12: cost 0 inf + 95755 267.859 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 267.859 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 267.860 * * * * [progress]: [ 644 / 4754 ] simplifiying candidate # 267.861 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 267.861 * * [simplify]: iters left: 6 (36 enodes) 267.871 * * [simplify]: iters left: 5 (177 enodes) 267.916 * * [simplify]: Extracting #0: cost 1 inf + 0 267.916 * * [simplify]: Extracting #1: cost 4 inf + 0 267.916 * * [simplify]: Extracting #2: cost 7 inf + 0 267.916 * * [simplify]: Extracting #3: cost 14 inf + 0 267.916 * * [simplify]: Extracting #4: cost 82 inf + 0 267.917 * * [simplify]: Extracting #5: cost 164 inf + 42 267.917 * * [simplify]: Extracting #6: cost 211 inf + 207 267.919 * * [simplify]: Extracting #7: cost 173 inf + 13919 267.925 * * [simplify]: Extracting #8: cost 80 inf + 46059 267.934 * * [simplify]: Extracting #9: cost 29 inf + 51581 267.944 * * [simplify]: Extracting #10: cost 5 inf + 63807 267.965 * * [simplify]: Extracting #11: cost 1 inf + 68387 267.977 * * [simplify]: Extracting #12: cost 0 inf + 69572 267.990 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2))))) 267.990 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 267.990 * * * * [progress]: [ 645 / 4754 ] simplifiying candidate # 267.991 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 267.991 * * [simplify]: iters left: 6 (42 enodes) 268.014 * * [simplify]: iters left: 5 (214 enodes) 268.114 * * [simplify]: Extracting #0: cost 1 inf + 0 268.114 * * [simplify]: Extracting #1: cost 3 inf + 0 268.114 * * [simplify]: Extracting #2: cost 6 inf + 0 268.114 * * [simplify]: Extracting #3: cost 10 inf + 0 268.114 * * [simplify]: Extracting #4: cost 24 inf + 0 268.114 * * [simplify]: Extracting #5: cost 131 inf + 0 268.115 * * [simplify]: Extracting #6: cost 237 inf + 44 268.116 * * [simplify]: Extracting #7: cost 268 inf + 1839 268.118 * * [simplify]: Extracting #8: cost 196 inf + 24990 268.130 * * [simplify]: Extracting #9: cost 44 inf + 87455 268.146 * * [simplify]: Extracting #10: cost 10 inf + 89043 268.178 * * [simplify]: Extracting #11: cost 2 inf + 93625 268.197 * * [simplify]: Extracting #12: cost 0 inf + 95995 268.218 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 268.218 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 268.219 * * * * [progress]: [ 646 / 4754 ] simplifiying candidate # 268.219 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 268.220 * * [simplify]: iters left: 6 (47 enodes) 268.237 * * [simplify]: iters left: 5 (244 enodes) 268.350 * * [simplify]: Extracting #0: cost 1 inf + 0 268.350 * * [simplify]: Extracting #1: cost 3 inf + 0 268.350 * * [simplify]: Extracting #2: cost 6 inf + 0 268.350 * * [simplify]: Extracting #3: cost 10 inf + 0 268.350 * * [simplify]: Extracting #4: cost 20 inf + 0 268.351 * * [simplify]: Extracting #5: cost 132 inf + 0 268.351 * * [simplify]: Extracting #6: cost 284 inf + 1 268.353 * * [simplify]: Extracting #7: cost 345 inf + 1512 268.357 * * [simplify]: Extracting #8: cost 212 inf + 28361 268.373 * * [simplify]: Extracting #9: cost 103 inf + 77342 268.409 * * [simplify]: Extracting #10: cost 9 inf + 124926 268.440 * * [simplify]: Extracting #11: cost 0 inf + 130951 268.473 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 268.473 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 268.474 * * * * [progress]: [ 647 / 4754 ] simplifiying candidate # 268.474 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 268.474 * * [simplify]: iters left: 6 (48 enodes) 268.488 * * [simplify]: iters left: 5 (252 enodes) 268.572 * * [simplify]: Extracting #0: cost 1 inf + 0 268.572 * * [simplify]: Extracting #1: cost 3 inf + 0 268.572 * * [simplify]: Extracting #2: cost 6 inf + 0 268.572 * * [simplify]: Extracting #3: cost 10 inf + 0 268.572 * * [simplify]: Extracting #4: cost 20 inf + 0 268.572 * * [simplify]: Extracting #5: cost 135 inf + 0 268.573 * * [simplify]: Extracting #6: cost 304 inf + 1 268.574 * * [simplify]: Extracting #7: cost 361 inf + 1314 268.580 * * [simplify]: Extracting #8: cost 198 inf + 48892 268.611 * * [simplify]: Extracting #9: cost 33 inf + 116621 268.663 * * [simplify]: Extracting #10: cost 3 inf + 128895 268.710 * * [simplify]: Extracting #11: cost 1 inf + 131825 268.739 * * [simplify]: Extracting #12: cost 0 inf + 133610 268.767 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 268.767 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 268.769 * * * * [progress]: [ 648 / 4754 ] simplifiying candidate # 268.769 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 268.770 * * [simplify]: iters left: 6 (48 enodes) 268.800 * * [simplify]: iters left: 5 (252 enodes) 268.904 * * [simplify]: Extracting #0: cost 1 inf + 0 268.904 * * [simplify]: Extracting #1: cost 3 inf + 0 268.904 * * [simplify]: Extracting #2: cost 6 inf + 0 268.904 * * [simplify]: Extracting #3: cost 10 inf + 0 268.904 * * [simplify]: Extracting #4: cost 20 inf + 0 268.904 * * [simplify]: Extracting #5: cost 138 inf + 0 268.905 * * [simplify]: Extracting #6: cost 307 inf + 1 268.906 * * [simplify]: Extracting #7: cost 361 inf + 987 268.915 * * [simplify]: Extracting #8: cost 207 inf + 38866 268.942 * * [simplify]: Extracting #9: cost 41 inf + 105999 268.967 * * [simplify]: Extracting #10: cost 2 inf + 130333 268.997 * * [simplify]: Extracting #11: cost 0 inf + 132330 269.032 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 269.032 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 269.033 * * * * [progress]: [ 649 / 4754 ] simplifiying candidate # 269.034 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 269.034 * * [simplify]: iters left: 6 (48 enodes) 269.058 * * [simplify]: iters left: 5 (250 enodes) 269.155 * * [simplify]: Extracting #0: cost 1 inf + 0 269.155 * * [simplify]: Extracting #1: cost 3 inf + 0 269.155 * * [simplify]: Extracting #2: cost 6 inf + 0 269.155 * * [simplify]: Extracting #3: cost 10 inf + 0 269.155 * * [simplify]: Extracting #4: cost 22 inf + 0 269.155 * * [simplify]: Extracting #5: cost 137 inf + 0 269.156 * * [simplify]: Extracting #6: cost 287 inf + 44 269.158 * * [simplify]: Extracting #7: cost 322 inf + 2050 269.171 * * [simplify]: Extracting #8: cost 176 inf + 37171 269.195 * * [simplify]: Extracting #9: cost 39 inf + 98065 269.218 * * [simplify]: Extracting #10: cost 4 inf + 118578 269.244 * * [simplify]: Extracting #11: cost 0 inf + 119466 269.290 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 269.290 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 269.291 * * * * [progress]: [ 650 / 4754 ] simplifiying candidate # 269.291 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 269.292 * * [simplify]: iters left: 6 (46 enodes) 269.307 * * [simplify]: iters left: 5 (238 enodes) 269.398 * * [simplify]: Extracting #0: cost 1 inf + 0 269.398 * * [simplify]: Extracting #1: cost 3 inf + 0 269.398 * * [simplify]: Extracting #2: cost 6 inf + 0 269.398 * * [simplify]: Extracting #3: cost 10 inf + 0 269.398 * * [simplify]: Extracting #4: cost 24 inf + 0 269.399 * * [simplify]: Extracting #5: cost 136 inf + 0 269.400 * * [simplify]: Extracting #6: cost 266 inf + 1 269.402 * * [simplify]: Extracting #7: cost 315 inf + 621 269.410 * * [simplify]: Extracting #8: cost 200 inf + 26187 269.429 * * [simplify]: Extracting #9: cost 52 inf + 86621 269.452 * * [simplify]: Extracting #10: cost 4 inf + 113764 269.495 * * [simplify]: Extracting #11: cost 0 inf + 117809 269.524 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 269.524 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 269.525 * * * * [progress]: [ 651 / 4754 ] simplifiying candidate # 269.525 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 269.525 * * [simplify]: iters left: 6 (47 enodes) 269.538 * * [simplify]: iters left: 5 (246 enodes) 269.650 * * [simplify]: Extracting #0: cost 1 inf + 0 269.650 * * [simplify]: Extracting #1: cost 3 inf + 0 269.650 * * [simplify]: Extracting #2: cost 6 inf + 0 269.650 * * [simplify]: Extracting #3: cost 10 inf + 0 269.650 * * [simplify]: Extracting #4: cost 24 inf + 0 269.651 * * [simplify]: Extracting #5: cost 144 inf + 0 269.652 * * [simplify]: Extracting #6: cost 283 inf + 44 269.655 * * [simplify]: Extracting #7: cost 315 inf + 2535 269.666 * * [simplify]: Extracting #8: cost 187 inf + 29409 269.684 * * [simplify]: Extracting #9: cost 116 inf + 53369 269.704 * * [simplify]: Extracting #10: cost 24 inf + 93973 269.727 * * [simplify]: Extracting #11: cost 3 inf + 106096 269.754 * * [simplify]: Extracting #12: cost 0 inf + 111171 269.784 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 269.784 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 269.786 * * * * [progress]: [ 652 / 4754 ] simplifiying candidate # 269.786 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 269.787 * * [simplify]: iters left: 6 (45 enodes) 269.808 * * [simplify]: iters left: 5 (236 enodes) 269.882 * * [simplify]: Extracting #0: cost 1 inf + 0 269.882 * * [simplify]: Extracting #1: cost 3 inf + 0 269.882 * * [simplify]: Extracting #2: cost 6 inf + 0 269.882 * * [simplify]: Extracting #3: cost 10 inf + 0 269.882 * * [simplify]: Extracting #4: cost 24 inf + 0 269.882 * * [simplify]: Extracting #5: cost 135 inf + 0 269.883 * * [simplify]: Extracting #6: cost 265 inf + 1 269.885 * * [simplify]: Extracting #7: cost 310 inf + 867 269.896 * * [simplify]: Extracting #8: cost 160 inf + 39579 269.926 * * [simplify]: Extracting #9: cost 40 inf + 91093 269.966 * * [simplify]: Extracting #10: cost 9 inf + 110743 270.015 * * [simplify]: Extracting #11: cost 0 inf + 117805 270.058 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 270.058 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 270.060 * * * * [progress]: [ 653 / 4754 ] simplifiying candidate # 270.060 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 270.061 * * [simplify]: iters left: 6 (47 enodes) 270.086 * * [simplify]: iters left: 5 (246 enodes) 270.198 * * [simplify]: Extracting #0: cost 1 inf + 0 270.198 * * [simplify]: Extracting #1: cost 3 inf + 0 270.198 * * [simplify]: Extracting #2: cost 6 inf + 0 270.198 * * [simplify]: Extracting #3: cost 10 inf + 0 270.198 * * [simplify]: Extracting #4: cost 24 inf + 0 270.199 * * [simplify]: Extracting #5: cost 143 inf + 0 270.200 * * [simplify]: Extracting #6: cost 284 inf + 44 270.202 * * [simplify]: Extracting #7: cost 315 inf + 2537 270.210 * * [simplify]: Extracting #8: cost 192 inf + 27836 270.225 * * [simplify]: Extracting #9: cost 118 inf + 53564 270.252 * * [simplify]: Extracting #10: cost 29 inf + 92136 270.288 * * [simplify]: Extracting #11: cost 3 inf + 106660 270.312 * * [simplify]: Extracting #12: cost 0 inf + 111735 270.332 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 270.332 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 270.333 * * * * [progress]: [ 654 / 4754 ] simplifiying candidate # 270.334 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 270.334 * * [simplify]: iters left: 6 (47 enodes) 270.359 * * [simplify]: iters left: 5 (243 enodes) 270.456 * * [simplify]: Extracting #0: cost 1 inf + 0 270.457 * * [simplify]: Extracting #1: cost 3 inf + 0 270.457 * * [simplify]: Extracting #2: cost 6 inf + 0 270.457 * * [simplify]: Extracting #3: cost 10 inf + 0 270.457 * * [simplify]: Extracting #4: cost 20 inf + 0 270.457 * * [simplify]: Extracting #5: cost 132 inf + 0 270.457 * * [simplify]: Extracting #6: cost 285 inf + 1 270.459 * * [simplify]: Extracting #7: cost 344 inf + 866 270.463 * * [simplify]: Extracting #8: cost 214 inf + 29323 270.488 * * [simplify]: Extracting #9: cost 70 inf + 93878 270.517 * * [simplify]: Extracting #10: cost 5 inf + 128687 270.542 * * [simplify]: Extracting #11: cost 0 inf + 129998 270.575 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 270.575 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 270.576 * * * * [progress]: [ 655 / 4754 ] simplifiying candidate # 270.577 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 270.577 * * [simplify]: iters left: 6 (48 enodes) 270.599 * * [simplify]: iters left: 5 (251 enodes) 270.680 * * [simplify]: Extracting #0: cost 1 inf + 0 270.680 * * [simplify]: Extracting #1: cost 3 inf + 0 270.680 * * [simplify]: Extracting #2: cost 6 inf + 0 270.680 * * [simplify]: Extracting #3: cost 10 inf + 0 270.680 * * [simplify]: Extracting #4: cost 20 inf + 0 270.680 * * [simplify]: Extracting #5: cost 135 inf + 0 270.682 * * [simplify]: Extracting #6: cost 305 inf + 1 270.684 * * [simplify]: Extracting #7: cost 356 inf + 1275 270.694 * * [simplify]: Extracting #8: cost 189 inf + 45185 270.715 * * [simplify]: Extracting #9: cost 30 inf + 112645 270.745 * * [simplify]: Extracting #10: cost 6 inf + 124320 270.777 * * [simplify]: Extracting #11: cost 1 inf + 131032 270.803 * * [simplify]: Extracting #12: cost 0 inf + 132777 270.843 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 270.843 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 270.844 * * * * [progress]: [ 656 / 4754 ] simplifiying candidate # 270.845 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 270.845 * * [simplify]: iters left: 6 (48 enodes) 270.863 * * [simplify]: iters left: 5 (251 enodes) 270.967 * * [simplify]: Extracting #0: cost 1 inf + 0 270.967 * * [simplify]: Extracting #1: cost 3 inf + 0 270.967 * * [simplify]: Extracting #2: cost 6 inf + 0 270.967 * * [simplify]: Extracting #3: cost 10 inf + 0 270.967 * * [simplify]: Extracting #4: cost 20 inf + 0 270.967 * * [simplify]: Extracting #5: cost 138 inf + 0 270.969 * * [simplify]: Extracting #6: cost 307 inf + 1 270.971 * * [simplify]: Extracting #7: cost 353 inf + 1433 270.985 * * [simplify]: Extracting #8: cost 180 inf + 45866 271.004 * * [simplify]: Extracting #9: cost 32 inf + 109324 271.051 * * [simplify]: Extracting #10: cost 3 inf + 128764 271.075 * * [simplify]: Extracting #11: cost 0 inf + 130893 271.116 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 271.116 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 271.117 * * * * [progress]: [ 657 / 4754 ] simplifiying candidate # 271.118 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 271.118 * * [simplify]: iters left: 6 (48 enodes) 271.131 * * [simplify]: iters left: 5 (249 enodes) 271.240 * * [simplify]: Extracting #0: cost 1 inf + 0 271.240 * * [simplify]: Extracting #1: cost 3 inf + 0 271.240 * * [simplify]: Extracting #2: cost 6 inf + 0 271.240 * * [simplify]: Extracting #3: cost 10 inf + 0 271.240 * * [simplify]: Extracting #4: cost 22 inf + 0 271.240 * * [simplify]: Extracting #5: cost 137 inf + 0 271.242 * * [simplify]: Extracting #6: cost 287 inf + 44 271.244 * * [simplify]: Extracting #7: cost 320 inf + 1564 271.253 * * [simplify]: Extracting #8: cost 209 inf + 22981 271.272 * * [simplify]: Extracting #9: cost 109 inf + 58691 271.310 * * [simplify]: Extracting #10: cost 24 inf + 100901 271.342 * * [simplify]: Extracting #11: cost 2 inf + 112518 271.363 * * [simplify]: Extracting #12: cost 0 inf + 116008 271.400 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 271.400 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 271.401 * * * * [progress]: [ 658 / 4754 ] simplifiying candidate # 271.401 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 271.402 * * [simplify]: iters left: 6 (46 enodes) 271.415 * * [simplify]: iters left: 5 (236 enodes) 271.493 * * [simplify]: Extracting #0: cost 1 inf + 0 271.493 * * [simplify]: Extracting #1: cost 3 inf + 0 271.493 * * [simplify]: Extracting #2: cost 6 inf + 0 271.493 * * [simplify]: Extracting #3: cost 10 inf + 0 271.493 * * [simplify]: Extracting #4: cost 24 inf + 0 271.493 * * [simplify]: Extracting #5: cost 136 inf + 0 271.494 * * [simplify]: Extracting #6: cost 260 inf + 1 271.495 * * [simplify]: Extracting #7: cost 303 inf + 621 271.498 * * [simplify]: Extracting #8: cost 205 inf + 20288 271.511 * * [simplify]: Extracting #9: cost 116 inf + 51259 271.531 * * [simplify]: Extracting #10: cost 23 inf + 89631 271.551 * * [simplify]: Extracting #11: cost 4 inf + 105500 271.582 * * [simplify]: Extracting #12: cost 0 inf + 110600 271.604 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) 271.605 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 271.605 * * * * [progress]: [ 659 / 4754 ] simplifiying candidate # 271.606 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 271.606 * * [simplify]: iters left: 6 (47 enodes) 271.620 * * [simplify]: iters left: 5 (245 enodes) 271.695 * * [simplify]: Extracting #0: cost 1 inf + 0 271.695 * * [simplify]: Extracting #1: cost 3 inf + 0 271.695 * * [simplify]: Extracting #2: cost 6 inf + 0 271.695 * * [simplify]: Extracting #3: cost 10 inf + 0 271.695 * * [simplify]: Extracting #4: cost 24 inf + 0 271.695 * * [simplify]: Extracting #5: cost 144 inf + 0 271.696 * * [simplify]: Extracting #6: cost 285 inf + 44 271.697 * * [simplify]: Extracting #7: cost 312 inf + 2336 271.706 * * [simplify]: Extracting #8: cost 167 inf + 36805 271.721 * * [simplify]: Extracting #9: cost 40 inf + 87137 271.739 * * [simplify]: Extracting #10: cost 14 inf + 98413 271.759 * * [simplify]: Extracting #11: cost 3 inf + 105168 271.788 * * [simplify]: Extracting #12: cost 1 inf + 108458 271.830 * * [simplify]: Extracting #13: cost 0 inf + 110123 271.869 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 271.869 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 271.871 * * * * [progress]: [ 660 / 4754 ] simplifiying candidate # 271.871 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 271.872 * * [simplify]: iters left: 6 (45 enodes) 271.895 * * [simplify]: iters left: 5 (233 enodes) 271.970 * * [simplify]: Extracting #0: cost 1 inf + 0 271.970 * * [simplify]: Extracting #1: cost 3 inf + 0 271.970 * * [simplify]: Extracting #2: cost 6 inf + 0 271.970 * * [simplify]: Extracting #3: cost 10 inf + 0 271.970 * * [simplify]: Extracting #4: cost 24 inf + 0 271.970 * * [simplify]: Extracting #5: cost 136 inf + 0 271.971 * * [simplify]: Extracting #6: cost 260 inf + 1 271.972 * * [simplify]: Extracting #7: cost 301 inf + 865 271.977 * * [simplify]: Extracting #8: cost 160 inf + 33346 271.992 * * [simplify]: Extracting #9: cost 44 inf + 87079 272.011 * * [simplify]: Extracting #10: cost 7 inf + 105451 272.034 * * [simplify]: Extracting #11: cost 2 inf + 110270 272.070 * * [simplify]: Extracting #12: cost 0 inf + 113400 272.104 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 272.104 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 272.105 * * * * [progress]: [ 661 / 4754 ] simplifiying candidate # 272.105 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 272.105 * * [simplify]: iters left: 6 (47 enodes) 272.118 * * [simplify]: iters left: 5 (245 enodes) 272.205 * * [simplify]: Extracting #0: cost 1 inf + 0 272.205 * * [simplify]: Extracting #1: cost 3 inf + 0 272.205 * * [simplify]: Extracting #2: cost 6 inf + 0 272.205 * * [simplify]: Extracting #3: cost 10 inf + 0 272.205 * * [simplify]: Extracting #4: cost 24 inf + 0 272.205 * * [simplify]: Extracting #5: cost 143 inf + 0 272.206 * * [simplify]: Extracting #6: cost 285 inf + 44 272.208 * * [simplify]: Extracting #7: cost 312 inf + 2416 272.213 * * [simplify]: Extracting #8: cost 166 inf + 37009 272.229 * * [simplify]: Extracting #9: cost 41 inf + 87053 272.254 * * [simplify]: Extracting #10: cost 14 inf + 98733 272.274 * * [simplify]: Extracting #11: cost 3 inf + 105488 272.315 * * [simplify]: Extracting #12: cost 1 inf + 108778 272.356 * * [simplify]: Extracting #13: cost 0 inf + 110443 272.400 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 272.400 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 272.401 * * * * [progress]: [ 662 / 4754 ] simplifiying candidate # 272.402 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 272.403 * * [simplify]: iters left: 6 (47 enodes) 272.430 * * [simplify]: iters left: 5 (248 enodes) 272.507 * * [simplify]: Extracting #0: cost 1 inf + 0 272.507 * * [simplify]: Extracting #1: cost 3 inf + 0 272.507 * * [simplify]: Extracting #2: cost 6 inf + 0 272.507 * * [simplify]: Extracting #3: cost 10 inf + 0 272.507 * * [simplify]: Extracting #4: cost 20 inf + 0 272.507 * * [simplify]: Extracting #5: cost 138 inf + 0 272.508 * * [simplify]: Extracting #6: cost 303 inf + 1 272.509 * * [simplify]: Extracting #7: cost 352 inf + 991 272.517 * * [simplify]: Extracting #8: cost 187 inf + 45267 272.547 * * [simplify]: Extracting #9: cost 31 inf + 105662 272.569 * * [simplify]: Extracting #10: cost 6 inf + 116990 272.607 * * [simplify]: Extracting #11: cost 1 inf + 122062 272.630 * * [simplify]: Extracting #12: cost 0 inf + 123647 272.670 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 272.670 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 272.670 * * * * [progress]: [ 663 / 4754 ] simplifiying candidate # 272.671 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 272.671 * * [simplify]: iters left: 6 (48 enodes) 272.684 * * [simplify]: iters left: 5 (252 enodes) 272.790 * * [simplify]: Extracting #0: cost 1 inf + 0 272.790 * * [simplify]: Extracting #1: cost 3 inf + 0 272.790 * * [simplify]: Extracting #2: cost 6 inf + 0 272.790 * * [simplify]: Extracting #3: cost 10 inf + 0 272.790 * * [simplify]: Extracting #4: cost 20 inf + 0 272.790 * * [simplify]: Extracting #5: cost 135 inf + 0 272.791 * * [simplify]: Extracting #6: cost 304 inf + 1 272.793 * * [simplify]: Extracting #7: cost 344 inf + 1681 272.799 * * [simplify]: Extracting #8: cost 208 inf + 30633 272.819 * * [simplify]: Extracting #9: cost 33 inf + 99278 272.848 * * [simplify]: Extracting #10: cost 9 inf + 111510 272.892 * * [simplify]: Extracting #11: cost 1 inf + 118818 272.917 * * [simplify]: Extracting #12: cost 0 inf + 120643 272.952 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))))) 272.952 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 272.954 * * * * [progress]: [ 664 / 4754 ] simplifiying candidate # 272.954 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 272.955 * * [simplify]: iters left: 6 (48 enodes) 272.981 * * [simplify]: iters left: 5 (252 enodes) 273.050 * * [simplify]: Extracting #0: cost 1 inf + 0 273.050 * * [simplify]: Extracting #1: cost 3 inf + 0 273.050 * * [simplify]: Extracting #2: cost 6 inf + 0 273.050 * * [simplify]: Extracting #3: cost 10 inf + 0 273.050 * * [simplify]: Extracting #4: cost 20 inf + 0 273.051 * * [simplify]: Extracting #5: cost 138 inf + 0 273.051 * * [simplify]: Extracting #6: cost 306 inf + 1 273.053 * * [simplify]: Extracting #7: cost 338 inf + 1968 273.057 * * [simplify]: Extracting #8: cost 221 inf + 23987 273.069 * * [simplify]: Extracting #9: cost 101 inf + 68572 273.107 * * [simplify]: Extracting #10: cost 9 inf + 108851 273.138 * * [simplify]: Extracting #11: cost 5 inf + 110552 273.167 * * [simplify]: Extracting #12: cost 1 inf + 117012 273.192 * * [simplify]: Extracting #13: cost 0 inf + 118837 273.235 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 273.235 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 273.236 * * * * [progress]: [ 665 / 4754 ] simplifiying candidate # 273.237 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 273.238 * * [simplify]: iters left: 6 (48 enodes) 273.262 * * [simplify]: iters left: 5 (254 enodes) 273.358 * * [simplify]: Extracting #0: cost 1 inf + 0 273.358 * * [simplify]: Extracting #1: cost 3 inf + 0 273.358 * * [simplify]: Extracting #2: cost 6 inf + 0 273.358 * * [simplify]: Extracting #3: cost 10 inf + 0 273.358 * * [simplify]: Extracting #4: cost 20 inf + 0 273.359 * * [simplify]: Extracting #5: cost 140 inf + 0 273.360 * * [simplify]: Extracting #6: cost 299 inf + 44 273.363 * * [simplify]: Extracting #7: cost 309 inf + 4087 273.374 * * [simplify]: Extracting #8: cost 175 inf + 35908 273.402 * * [simplify]: Extracting #9: cost 52 inf + 84313 273.445 * * [simplify]: Extracting #10: cost 8 inf + 106696 273.482 * * [simplify]: Extracting #11: cost 0 inf + 109145 273.503 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 273.503 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 273.503 * * * * [progress]: [ 666 / 4754 ] simplifiying candidate # 273.504 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 273.504 * * [simplify]: iters left: 6 (46 enodes) 273.518 * * [simplify]: iters left: 5 (238 enodes) 273.602 * * [simplify]: Extracting #0: cost 1 inf + 0 273.602 * * [simplify]: Extracting #1: cost 3 inf + 0 273.602 * * [simplify]: Extracting #2: cost 6 inf + 0 273.602 * * [simplify]: Extracting #3: cost 10 inf + 0 273.602 * * [simplify]: Extracting #4: cost 24 inf + 0 273.603 * * [simplify]: Extracting #5: cost 146 inf + 0 273.604 * * [simplify]: Extracting #6: cost 276 inf + 1 273.606 * * [simplify]: Extracting #7: cost 307 inf + 1114 273.615 * * [simplify]: Extracting #8: cost 170 inf + 33346 273.637 * * [simplify]: Extracting #9: cost 43 inf + 84590 273.664 * * [simplify]: Extracting #10: cost 6 inf + 103021 273.690 * * [simplify]: Extracting #11: cost 1 inf + 107560 273.714 * * [simplify]: Extracting #12: cost 0 inf + 109145 273.738 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 273.738 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 273.739 * * * * [progress]: [ 667 / 4754 ] simplifiying candidate # 273.739 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 273.739 * * [simplify]: iters left: 6 (47 enodes) 273.754 * * [simplify]: iters left: 5 (246 enodes) 273.838 * * [simplify]: Extracting #0: cost 1 inf + 0 273.839 * * [simplify]: Extracting #1: cost 3 inf + 0 273.839 * * [simplify]: Extracting #2: cost 6 inf + 0 273.839 * * [simplify]: Extracting #3: cost 10 inf + 0 273.839 * * [simplify]: Extracting #4: cost 24 inf + 0 273.839 * * [simplify]: Extracting #5: cost 146 inf + 0 273.841 * * [simplify]: Extracting #6: cost 285 inf + 44 273.844 * * [simplify]: Extracting #7: cost 293 inf + 4376 273.858 * * [simplify]: Extracting #8: cost 164 inf + 33727 273.887 * * [simplify]: Extracting #9: cost 43 inf + 79687 273.923 * * [simplify]: Extracting #10: cost 7 inf + 95710 273.957 * * [simplify]: Extracting #11: cost 1 inf + 100701 273.979 * * [simplify]: Extracting #12: cost 0 inf + 102366 274.005 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 274.005 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 274.006 * * * * [progress]: [ 668 / 4754 ] simplifiying candidate # 274.006 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 274.007 * * [simplify]: iters left: 6 (45 enodes) 274.024 * * [simplify]: iters left: 5 (236 enodes) 274.108 * * [simplify]: Extracting #0: cost 1 inf + 0 274.108 * * [simplify]: Extracting #1: cost 3 inf + 0 274.108 * * [simplify]: Extracting #2: cost 6 inf + 0 274.108 * * [simplify]: Extracting #3: cost 10 inf + 0 274.108 * * [simplify]: Extracting #4: cost 24 inf + 0 274.109 * * [simplify]: Extracting #5: cost 145 inf + 0 274.110 * * [simplify]: Extracting #6: cost 275 inf + 1 274.112 * * [simplify]: Extracting #7: cost 311 inf + 662 274.122 * * [simplify]: Extracting #8: cost 171 inf + 34226 274.156 * * [simplify]: Extracting #9: cost 51 inf + 82013 274.195 * * [simplify]: Extracting #10: cost 4 inf + 105987 274.227 * * [simplify]: Extracting #11: cost 0 inf + 109701 274.250 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) 274.250 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 274.251 * * * * [progress]: [ 669 / 4754 ] simplifiying candidate # 274.252 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 274.252 * * [simplify]: iters left: 6 (47 enodes) 274.265 * * [simplify]: iters left: 5 (246 enodes) 274.328 * * [simplify]: Extracting #0: cost 1 inf + 0 274.328 * * [simplify]: Extracting #1: cost 3 inf + 0 274.328 * * [simplify]: Extracting #2: cost 6 inf + 0 274.328 * * [simplify]: Extracting #3: cost 10 inf + 0 274.328 * * [simplify]: Extracting #4: cost 24 inf + 0 274.329 * * [simplify]: Extracting #5: cost 145 inf + 0 274.329 * * [simplify]: Extracting #6: cost 285 inf + 44 274.331 * * [simplify]: Extracting #7: cost 297 inf + 3562 274.339 * * [simplify]: Extracting #8: cost 168 inf + 32749 274.366 * * [simplify]: Extracting #9: cost 43 inf + 79927 274.401 * * [simplify]: Extracting #10: cost 6 inf + 97095 274.437 * * [simplify]: Extracting #11: cost 1 inf + 100941 274.477 * * [simplify]: Extracting #12: cost 0 inf + 102606 274.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 274.515 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 274.516 * * * * [progress]: [ 670 / 4754 ] simplifiying candidate # 274.516 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 274.517 * * [simplify]: iters left: 6 (45 enodes) 274.541 * * [simplify]: iters left: 5 (226 enodes) 274.616 * * [simplify]: Extracting #0: cost 1 inf + 0 274.616 * * [simplify]: Extracting #1: cost 3 inf + 0 274.616 * * [simplify]: Extracting #2: cost 6 inf + 0 274.616 * * [simplify]: Extracting #3: cost 10 inf + 0 274.616 * * [simplify]: Extracting #4: cost 20 inf + 0 274.616 * * [simplify]: Extracting #5: cost 131 inf + 0 274.617 * * [simplify]: Extracting #6: cost 265 inf + 1 274.618 * * [simplify]: Extracting #7: cost 316 inf + 1024 274.622 * * [simplify]: Extracting #8: cost 212 inf + 24025 274.635 * * [simplify]: Extracting #9: cost 75 inf + 79419 274.657 * * [simplify]: Extracting #10: cost 7 inf + 116559 274.681 * * [simplify]: Extracting #11: cost 0 inf + 120349 274.720 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 274.720 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 274.721 * * * * [progress]: [ 671 / 4754 ] simplifiying candidate # 274.722 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 274.722 * * [simplify]: iters left: 6 (46 enodes) 274.745 * * [simplify]: iters left: 5 (234 enodes) 274.824 * * [simplify]: Extracting #0: cost 1 inf + 0 274.824 * * [simplify]: Extracting #1: cost 3 inf + 0 274.824 * * [simplify]: Extracting #2: cost 6 inf + 0 274.824 * * [simplify]: Extracting #3: cost 10 inf + 0 274.824 * * [simplify]: Extracting #4: cost 20 inf + 0 274.825 * * [simplify]: Extracting #5: cost 134 inf + 0 274.826 * * [simplify]: Extracting #6: cost 284 inf + 1 274.828 * * [simplify]: Extracting #7: cost 328 inf + 1191 274.833 * * [simplify]: Extracting #8: cost 255 inf + 11418 274.845 * * [simplify]: Extracting #9: cost 158 inf + 41454 274.867 * * [simplify]: Extracting #10: cost 34 inf + 98881 274.888 * * [simplify]: Extracting #11: cost 3 inf + 118409 274.934 * * [simplify]: Extracting #12: cost 0 inf + 122844 274.978 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 274.978 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 274.979 * * * * [progress]: [ 672 / 4754 ] simplifiying candidate # 274.979 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 274.980 * * [simplify]: iters left: 6 (46 enodes) 275.005 * * [simplify]: iters left: 5 (234 enodes) 275.115 * * [simplify]: Extracting #0: cost 1 inf + 0 275.115 * * [simplify]: Extracting #1: cost 3 inf + 0 275.115 * * [simplify]: Extracting #2: cost 6 inf + 0 275.115 * * [simplify]: Extracting #3: cost 10 inf + 0 275.115 * * [simplify]: Extracting #4: cost 20 inf + 0 275.115 * * [simplify]: Extracting #5: cost 137 inf + 0 275.116 * * [simplify]: Extracting #6: cost 286 inf + 1 275.118 * * [simplify]: Extracting #7: cost 329 inf + 1062 275.124 * * [simplify]: Extracting #8: cost 245 inf + 17081 275.137 * * [simplify]: Extracting #9: cost 144 inf + 46826 275.167 * * [simplify]: Extracting #10: cost 17 inf + 108472 275.205 * * [simplify]: Extracting #11: cost 0 inf + 119920 275.238 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 275.238 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 275.239 * * * * [progress]: [ 673 / 4754 ] simplifiying candidate # 275.239 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 275.240 * * [simplify]: iters left: 6 (46 enodes) 275.252 * * [simplify]: iters left: 5 (232 enodes) 275.312 * * [simplify]: Extracting #0: cost 1 inf + 0 275.312 * * [simplify]: Extracting #1: cost 3 inf + 0 275.312 * * [simplify]: Extracting #2: cost 6 inf + 0 275.312 * * [simplify]: Extracting #3: cost 10 inf + 0 275.312 * * [simplify]: Extracting #4: cost 20 inf + 0 275.312 * * [simplify]: Extracting #5: cost 133 inf + 0 275.313 * * [simplify]: Extracting #6: cost 264 inf + 44 275.316 * * [simplify]: Extracting #7: cost 286 inf + 2330 275.326 * * [simplify]: Extracting #8: cost 192 inf + 22161 275.346 * * [simplify]: Extracting #9: cost 111 inf + 50958 275.365 * * [simplify]: Extracting #10: cost 19 inf + 93782 275.390 * * [simplify]: Extracting #11: cost 0 inf + 107284 275.429 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 275.429 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 275.429 * * * * [progress]: [ 674 / 4754 ] simplifiying candidate # 275.430 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 275.430 * * [simplify]: iters left: 6 (44 enodes) 275.444 * * [simplify]: iters left: 5 (219 enodes) 275.527 * * [simplify]: Extracting #0: cost 1 inf + 0 275.528 * * [simplify]: Extracting #1: cost 3 inf + 0 275.528 * * [simplify]: Extracting #2: cost 6 inf + 0 275.528 * * [simplify]: Extracting #3: cost 10 inf + 0 275.528 * * [simplify]: Extracting #4: cost 24 inf + 0 275.528 * * [simplify]: Extracting #5: cost 136 inf + 0 275.529 * * [simplify]: Extracting #6: cost 240 inf + 1 275.531 * * [simplify]: Extracting #7: cost 272 inf + 1026 275.535 * * [simplify]: Extracting #8: cost 210 inf + 12770 275.552 * * [simplify]: Extracting #9: cost 125 inf + 41054 275.569 * * [simplify]: Extracting #10: cost 16 inf + 91070 275.590 * * [simplify]: Extracting #11: cost 3 inf + 98876 275.624 * * [simplify]: Extracting #12: cost 0 inf + 103951 275.644 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 275.644 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda1) (* lambda2 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 275.644 * * * * [progress]: [ 675 / 4754 ] simplifiying candidate # 275.645 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 275.645 * * [simplify]: iters left: 6 (45 enodes) 275.668 * * [simplify]: iters left: 5 (228 enodes) 275.748 * * [simplify]: Extracting #0: cost 1 inf + 0 275.748 * * [simplify]: Extracting #1: cost 3 inf + 0 275.748 * * [simplify]: Extracting #2: cost 6 inf + 0 275.748 * * [simplify]: Extracting #3: cost 10 inf + 0 275.748 * * [simplify]: Extracting #4: cost 24 inf + 0 275.748 * * [simplify]: Extracting #5: cost 143 inf + 0 275.749 * * [simplify]: Extracting #6: cost 264 inf + 44 275.750 * * [simplify]: Extracting #7: cost 290 inf + 1560 275.754 * * [simplify]: Extracting #8: cost 192 inf + 24018 275.776 * * [simplify]: Extracting #9: cost 61 inf + 70384 275.810 * * [simplify]: Extracting #10: cost 8 inf + 99401 275.846 * * [simplify]: Extracting #11: cost 0 inf + 103110 275.872 * * [simplify]: Extracting #12: cost 0 inf + 103070 275.900 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 275.900 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 275.901 * * * * [progress]: [ 676 / 4754 ] simplifiying candidate # 275.902 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 275.902 * * [simplify]: iters left: 6 (43 enodes) 275.929 * * [simplify]: iters left: 5 (216 enodes) 275.992 * * [simplify]: Extracting #0: cost 1 inf + 0 275.992 * * [simplify]: Extracting #1: cost 3 inf + 0 275.992 * * [simplify]: Extracting #2: cost 6 inf + 0 275.992 * * [simplify]: Extracting #3: cost 10 inf + 0 275.992 * * [simplify]: Extracting #4: cost 24 inf + 0 275.993 * * [simplify]: Extracting #5: cost 135 inf + 0 275.994 * * [simplify]: Extracting #6: cost 239 inf + 1 275.995 * * [simplify]: Extracting #7: cost 271 inf + 985 275.999 * * [simplify]: Extracting #8: cost 213 inf + 11396 276.009 * * [simplify]: Extracting #9: cost 137 inf + 33824 276.029 * * [simplify]: Extracting #10: cost 25 inf + 84548 276.047 * * [simplify]: Extracting #11: cost 3 inf + 99632 276.079 * * [simplify]: Extracting #12: cost 1 inf + 102402 276.099 * * [simplify]: Extracting #13: cost 0 inf + 103987 276.131 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)))))) 276.131 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 276.132 * * * * [progress]: [ 677 / 4754 ] simplifiying candidate # 276.133 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 276.133 * * [simplify]: iters left: 6 (45 enodes) 276.160 * * [simplify]: iters left: 5 (228 enodes) 276.242 * * [simplify]: Extracting #0: cost 1 inf + 0 276.242 * * [simplify]: Extracting #1: cost 3 inf + 0 276.242 * * [simplify]: Extracting #2: cost 6 inf + 0 276.242 * * [simplify]: Extracting #3: cost 10 inf + 0 276.242 * * [simplify]: Extracting #4: cost 24 inf + 0 276.243 * * [simplify]: Extracting #5: cost 142 inf + 0 276.243 * * [simplify]: Extracting #6: cost 264 inf + 44 276.244 * * [simplify]: Extracting #7: cost 289 inf + 1641 276.252 * * [simplify]: Extracting #8: cost 193 inf + 23369 276.278 * * [simplify]: Extracting #9: cost 60 inf + 70596 276.299 * * [simplify]: Extracting #10: cost 7 inf + 100026 276.324 * * [simplify]: Extracting #11: cost 0 inf + 103190 276.355 * * [simplify]: Extracting #12: cost 0 inf + 103150 276.374 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 276.374 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 276.375 * * * * [progress]: [ 678 / 4754 ] simplifiying candidate # 276.375 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 276.375 * * [simplify]: iters left: 6 (48 enodes) 276.398 * * [simplify]: iters left: 5 (240 enodes) 276.482 * * [simplify]: Extracting #0: cost 1 inf + 0 276.482 * * [simplify]: Extracting #1: cost 3 inf + 0 276.482 * * [simplify]: Extracting #2: cost 6 inf + 0 276.482 * * [simplify]: Extracting #3: cost 10 inf + 0 276.482 * * [simplify]: Extracting #4: cost 20 inf + 0 276.483 * * [simplify]: Extracting #5: cost 130 inf + 0 276.484 * * [simplify]: Extracting #6: cost 277 inf + 1 276.490 * * [simplify]: Extracting #7: cost 326 inf + 1272 276.501 * * [simplify]: Extracting #8: cost 170 inf + 39166 276.525 * * [simplify]: Extracting #9: cost 46 inf + 91478 276.548 * * [simplify]: Extracting #10: cost 4 inf + 114339 276.580 * * [simplify]: Extracting #11: cost 0 inf + 116680 276.606 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 276.606 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 276.608 * * * * [progress]: [ 679 / 4754 ] simplifiying candidate # 276.608 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 276.608 * * [simplify]: iters left: 6 (49 enodes) 276.621 * * [simplify]: iters left: 5 (248 enodes) 276.709 * * [simplify]: Extracting #0: cost 1 inf + 0 276.709 * * [simplify]: Extracting #1: cost 3 inf + 0 276.709 * * [simplify]: Extracting #2: cost 6 inf + 0 276.709 * * [simplify]: Extracting #3: cost 10 inf + 0 276.709 * * [simplify]: Extracting #4: cost 20 inf + 0 276.709 * * [simplify]: Extracting #5: cost 133 inf + 0 276.710 * * [simplify]: Extracting #6: cost 296 inf + 1 276.711 * * [simplify]: Extracting #7: cost 342 inf + 1192 276.715 * * [simplify]: Extracting #8: cost 217 inf + 24629 276.726 * * [simplify]: Extracting #9: cost 102 inf + 65528 276.745 * * [simplify]: Extracting #10: cost 30 inf + 97426 276.767 * * [simplify]: Extracting #11: cost 2 inf + 114885 276.807 * * [simplify]: Extracting #12: cost 0 inf + 118335 276.852 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))))) 276.852 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 276.853 * * * * [progress]: [ 680 / 4754 ] simplifiying candidate # 276.854 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 276.854 * * [simplify]: iters left: 6 (49 enodes) 276.880 * * [simplify]: iters left: 5 (248 enodes) 276.993 * * [simplify]: Extracting #0: cost 1 inf + 0 276.993 * * [simplify]: Extracting #1: cost 3 inf + 0 276.994 * * [simplify]: Extracting #2: cost 6 inf + 0 276.994 * * [simplify]: Extracting #3: cost 10 inf + 0 276.994 * * [simplify]: Extracting #4: cost 20 inf + 0 276.994 * * [simplify]: Extracting #5: cost 136 inf + 0 276.996 * * [simplify]: Extracting #6: cost 297 inf + 1 276.998 * * [simplify]: Extracting #7: cost 331 inf + 2088 277.005 * * [simplify]: Extracting #8: cost 179 inf + 37628 277.018 * * [simplify]: Extracting #9: cost 72 inf + 78981 277.048 * * [simplify]: Extracting #10: cost 6 inf + 113050 277.092 * * [simplify]: Extracting #11: cost 0 inf + 116106 277.119 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 277.120 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 277.120 * * * * [progress]: [ 681 / 4754 ] simplifiying candidate # 277.120 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 277.121 * * [simplify]: iters left: 6 (49 enodes) 277.133 * * [simplify]: iters left: 5 (246 enodes) 277.223 * * [simplify]: Extracting #0: cost 1 inf + 0 277.223 * * [simplify]: Extracting #1: cost 3 inf + 0 277.223 * * [simplify]: Extracting #2: cost 6 inf + 0 277.223 * * [simplify]: Extracting #3: cost 10 inf + 0 277.223 * * [simplify]: Extracting #4: cost 20 inf + 0 277.223 * * [simplify]: Extracting #5: cost 132 inf + 0 277.224 * * [simplify]: Extracting #6: cost 275 inf + 44 277.225 * * [simplify]: Extracting #7: cost 298 inf + 2252 277.230 * * [simplify]: Extracting #8: cost 163 inf + 33233 277.251 * * [simplify]: Extracting #9: cost 47 inf + 80591 277.284 * * [simplify]: Extracting #10: cost 4 inf + 99324 277.320 * * [simplify]: Extracting #11: cost 0 inf + 103731 277.360 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))))))) 277.360 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 277.361 * * * * [progress]: [ 682 / 4754 ] simplifiying candidate # 277.361 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 277.362 * * [simplify]: iters left: 6 (47 enodes) 277.384 * * [simplify]: iters left: 5 (234 enodes) 277.466 * * [simplify]: Extracting #0: cost 1 inf + 0 277.466 * * [simplify]: Extracting #1: cost 3 inf + 0 277.466 * * [simplify]: Extracting #2: cost 6 inf + 0 277.466 * * [simplify]: Extracting #3: cost 10 inf + 0 277.467 * * [simplify]: Extracting #4: cost 24 inf + 0 277.467 * * [simplify]: Extracting #5: cost 145 inf + 0 277.468 * * [simplify]: Extracting #6: cost 268 inf + 1 277.470 * * [simplify]: Extracting #7: cost 300 inf + 1191 277.478 * * [simplify]: Extracting #8: cost 185 inf + 25287 277.497 * * [simplify]: Extracting #9: cost 39 inf + 88919 277.517 * * [simplify]: Extracting #10: cost 3 inf + 105311 277.548 * * [simplify]: Extracting #11: cost 0 inf + 106038 277.590 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 277.590 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 277.591 * * * * [progress]: [ 683 / 4754 ] simplifiying candidate # 277.591 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 277.592 * * [simplify]: iters left: 6 (48 enodes) 277.618 * * [simplify]: iters left: 5 (242 enodes) 277.698 * * [simplify]: Extracting #0: cost 1 inf + 0 277.699 * * [simplify]: Extracting #1: cost 3 inf + 0 277.699 * * [simplify]: Extracting #2: cost 6 inf + 0 277.699 * * [simplify]: Extracting #3: cost 10 inf + 0 277.699 * * [simplify]: Extracting #4: cost 24 inf + 0 277.699 * * [simplify]: Extracting #5: cost 144 inf + 0 277.700 * * [simplify]: Extracting #6: cost 276 inf + 44 277.702 * * [simplify]: Extracting #7: cost 299 inf + 2211 277.712 * * [simplify]: Extracting #8: cost 178 inf + 27908 277.733 * * [simplify]: Extracting #9: cost 43 inf + 81750 277.752 * * [simplify]: Extracting #10: cost 5 inf + 96795 277.784 * * [simplify]: Extracting #11: cost 0 inf + 99601 277.813 * * [simplify]: Extracting #12: cost 0 inf + 99161 277.834 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 277.834 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 277.834 * * * * [progress]: [ 684 / 4754 ] simplifiying candidate # 277.835 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 277.835 * * [simplify]: iters left: 6 (46 enodes) 277.858 * * [simplify]: iters left: 5 (232 enodes) 277.925 * * [simplify]: Extracting #0: cost 1 inf + 0 277.925 * * [simplify]: Extracting #1: cost 3 inf + 0 277.925 * * [simplify]: Extracting #2: cost 6 inf + 0 277.925 * * [simplify]: Extracting #3: cost 10 inf + 0 277.925 * * [simplify]: Extracting #4: cost 24 inf + 0 277.925 * * [simplify]: Extracting #5: cost 144 inf + 0 277.926 * * [simplify]: Extracting #6: cost 267 inf + 1 277.927 * * [simplify]: Extracting #7: cost 303 inf + 744 277.929 * * [simplify]: Extracting #8: cost 225 inf + 14684 277.935 * * [simplify]: Extracting #9: cost 149 inf + 36961 277.948 * * [simplify]: Extracting #10: cost 45 inf + 78566 277.976 * * [simplify]: Extracting #11: cost 5 inf + 102749 277.996 * * [simplify]: Extracting #12: cost 0 inf + 107394 278.030 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))))) 278.030 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 278.030 * * * * [progress]: [ 685 / 4754 ] simplifiying candidate # 278.031 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 278.031 * * [simplify]: iters left: 6 (48 enodes) 278.044 * * [simplify]: iters left: 5 (242 enodes) 278.130 * * [simplify]: Extracting #0: cost 1 inf + 0 278.130 * * [simplify]: Extracting #1: cost 3 inf + 0 278.130 * * [simplify]: Extracting #2: cost 6 inf + 0 278.130 * * [simplify]: Extracting #3: cost 10 inf + 0 278.130 * * [simplify]: Extracting #4: cost 24 inf + 0 278.130 * * [simplify]: Extracting #5: cost 143 inf + 0 278.131 * * [simplify]: Extracting #6: cost 276 inf + 44 278.132 * * [simplify]: Extracting #7: cost 299 inf + 2131 278.137 * * [simplify]: Extracting #8: cost 181 inf + 27879 278.150 * * [simplify]: Extracting #9: cost 43 inf + 81990 278.176 * * [simplify]: Extracting #10: cost 5 inf + 97035 278.212 * * [simplify]: Extracting #11: cost 0 inf + 99841 278.247 * * [simplify]: Extracting #12: cost 0 inf + 99401 278.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 278.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 278.284 * * * * [progress]: [ 686 / 4754 ] simplifiying candidate # 278.285 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 278.285 * * [simplify]: iters left: 6 (45 enodes) 278.308 * * [simplify]: iters left: 5 (227 enodes) 278.399 * * [simplify]: Extracting #0: cost 1 inf + 0 278.399 * * [simplify]: Extracting #1: cost 3 inf + 0 278.399 * * [simplify]: Extracting #2: cost 6 inf + 0 278.399 * * [simplify]: Extracting #3: cost 10 inf + 0 278.399 * * [simplify]: Extracting #4: cost 20 inf + 0 278.399 * * [simplify]: Extracting #5: cost 131 inf + 0 278.400 * * [simplify]: Extracting #6: cost 262 inf + 1 278.401 * * [simplify]: Extracting #7: cost 321 inf + 899 278.403 * * [simplify]: Extracting #8: cost 248 inf + 17997 278.410 * * [simplify]: Extracting #9: cost 150 inf + 42301 278.425 * * [simplify]: Extracting #10: cost 33 inf + 97289 278.445 * * [simplify]: Extracting #11: cost 4 inf + 113714 278.484 * * [simplify]: Extracting #12: cost 1 inf + 118669 278.508 * * [simplify]: Extracting #13: cost 0 inf + 120294 278.534 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 278.534 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 278.535 * * * * [progress]: [ 687 / 4754 ] simplifiying candidate # 278.535 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 278.536 * * [simplify]: iters left: 6 (46 enodes) 278.548 * * [simplify]: iters left: 5 (235 enodes) 278.620 * * [simplify]: Extracting #0: cost 1 inf + 0 278.621 * * [simplify]: Extracting #1: cost 3 inf + 0 278.621 * * [simplify]: Extracting #2: cost 6 inf + 0 278.621 * * [simplify]: Extracting #3: cost 10 inf + 0 278.621 * * [simplify]: Extracting #4: cost 20 inf + 0 278.621 * * [simplify]: Extracting #5: cost 134 inf + 0 278.621 * * [simplify]: Extracting #6: cost 281 inf + 1 278.623 * * [simplify]: Extracting #7: cost 333 inf + 1146 278.625 * * [simplify]: Extracting #8: cost 252 inf + 18228 278.633 * * [simplify]: Extracting #9: cost 147 inf + 48886 278.654 * * [simplify]: Extracting #10: cost 30 inf + 103271 278.704 * * [simplify]: Extracting #11: cost 0 inf + 122469 278.742 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 278.742 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 278.743 * * * * [progress]: [ 688 / 4754 ] simplifiying candidate # 278.743 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 278.743 * * [simplify]: iters left: 6 (46 enodes) 278.756 * * [simplify]: iters left: 5 (235 enodes) 278.827 * * [simplify]: Extracting #0: cost 1 inf + 0 278.827 * * [simplify]: Extracting #1: cost 3 inf + 0 278.827 * * [simplify]: Extracting #2: cost 6 inf + 0 278.827 * * [simplify]: Extracting #3: cost 10 inf + 0 278.827 * * [simplify]: Extracting #4: cost 20 inf + 0 278.827 * * [simplify]: Extracting #5: cost 137 inf + 0 278.828 * * [simplify]: Extracting #6: cost 283 inf + 1 278.830 * * [simplify]: Extracting #7: cost 327 inf + 1549 278.833 * * [simplify]: Extracting #8: cost 250 inf + 18686 278.839 * * [simplify]: Extracting #9: cost 175 inf + 39081 278.856 * * [simplify]: Extracting #10: cost 33 inf + 101643 278.894 * * [simplify]: Extracting #11: cost 2 inf + 118655 278.922 * * [simplify]: Extracting #12: cost 0 inf + 121585 278.956 * * [simplify]: Extracting #13: cost 0 inf + 120945 278.998 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 278.998 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 278.998 * * * * [progress]: [ 689 / 4754 ] simplifiying candidate # 278.999 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 278.999 * * [simplify]: iters left: 6 (46 enodes) 279.011 * * [simplify]: iters left: 5 (233 enodes) 279.093 * * [simplify]: Extracting #0: cost 1 inf + 0 279.093 * * [simplify]: Extracting #1: cost 3 inf + 0 279.093 * * [simplify]: Extracting #2: cost 6 inf + 0 279.093 * * [simplify]: Extracting #3: cost 10 inf + 0 279.093 * * [simplify]: Extracting #4: cost 20 inf + 0 279.094 * * [simplify]: Extracting #5: cost 133 inf + 0 279.094 * * [simplify]: Extracting #6: cost 262 inf + 44 279.095 * * [simplify]: Extracting #7: cost 294 inf + 2001 279.098 * * [simplify]: Extracting #8: cost 252 inf + 11924 279.102 * * [simplify]: Extracting #9: cost 175 inf + 31592 279.119 * * [simplify]: Extracting #10: cost 52 inf + 74344 279.154 * * [simplify]: Extracting #11: cost 2 inf + 104804 279.176 * * [simplify]: Extracting #12: cost 0 inf + 107414 279.215 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 279.215 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 279.216 * * * * [progress]: [ 690 / 4754 ] simplifiying candidate # 279.217 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 279.217 * * [simplify]: iters left: 6 (44 enodes) 279.241 * * [simplify]: iters left: 5 (221 enodes) 279.324 * * [simplify]: Extracting #0: cost 1 inf + 0 279.324 * * [simplify]: Extracting #1: cost 3 inf + 0 279.324 * * [simplify]: Extracting #2: cost 6 inf + 0 279.324 * * [simplify]: Extracting #3: cost 10 inf + 0 279.324 * * [simplify]: Extracting #4: cost 24 inf + 0 279.324 * * [simplify]: Extracting #5: cost 136 inf + 0 279.325 * * [simplify]: Extracting #6: cost 242 inf + 1 279.326 * * [simplify]: Extracting #7: cost 285 inf + 575 279.329 * * [simplify]: Extracting #8: cost 215 inf + 24987 279.354 * * [simplify]: Extracting #9: cost 44 inf + 92657 279.388 * * [simplify]: Extracting #10: cost 3 inf + 104519 279.420 * * [simplify]: Extracting #11: cost 0 inf + 106584 279.440 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 279.440 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 279.441 * * * * [progress]: [ 691 / 4754 ] simplifiying candidate # 279.441 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 279.441 * * [simplify]: iters left: 6 (45 enodes) 279.454 * * [simplify]: iters left: 5 (229 enodes) 279.550 * * [simplify]: Extracting #0: cost 1 inf + 0 279.550 * * [simplify]: Extracting #1: cost 3 inf + 0 279.550 * * [simplify]: Extracting #2: cost 6 inf + 0 279.550 * * [simplify]: Extracting #3: cost 10 inf + 0 279.550 * * [simplify]: Extracting #4: cost 24 inf + 0 279.551 * * [simplify]: Extracting #5: cost 143 inf + 0 279.552 * * [simplify]: Extracting #6: cost 260 inf + 44 279.553 * * [simplify]: Extracting #7: cost 291 inf + 1880 279.556 * * [simplify]: Extracting #8: cost 236 inf + 14821 279.562 * * [simplify]: Extracting #9: cost 136 inf + 41507 279.576 * * [simplify]: Extracting #10: cost 24 inf + 84544 279.602 * * [simplify]: Extracting #11: cost 3 inf + 98915 279.624 * * [simplify]: Extracting #12: cost 0 inf + 103070 279.653 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 279.654 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 279.655 * * * * [progress]: [ 692 / 4754 ] simplifiying candidate # 279.655 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 279.656 * * [simplify]: iters left: 6 (43 enodes) 279.675 * * [simplify]: iters left: 5 (218 enodes) 279.756 * * [simplify]: Extracting #0: cost 1 inf + 0 279.756 * * [simplify]: Extracting #1: cost 3 inf + 0 279.756 * * [simplify]: Extracting #2: cost 6 inf + 0 279.756 * * [simplify]: Extracting #3: cost 10 inf + 0 279.756 * * [simplify]: Extracting #4: cost 24 inf + 0 279.756 * * [simplify]: Extracting #5: cost 135 inf + 0 279.757 * * [simplify]: Extracting #6: cost 241 inf + 1 279.759 * * [simplify]: Extracting #7: cost 281 inf + 900 279.764 * * [simplify]: Extracting #8: cost 212 inf + 25527 279.787 * * [simplify]: Extracting #9: cost 66 inf + 86879 279.821 * * [simplify]: Extracting #10: cost 12 inf + 100302 279.860 * * [simplify]: Extracting #11: cost 1 inf + 105635 279.901 * * [simplify]: Extracting #12: cost 0 inf + 107020 279.922 * * [simplify]: Extracting #13: cost 0 inf + 106940 279.942 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)))))) 279.942 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 279.943 * * * * [progress]: [ 693 / 4754 ] simplifiying candidate # 279.943 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 279.944 * * [simplify]: iters left: 6 (45 enodes) 279.957 * * [simplify]: iters left: 5 (229 enodes) 280.025 * * [simplify]: Extracting #0: cost 1 inf + 0 280.025 * * [simplify]: Extracting #1: cost 3 inf + 0 280.025 * * [simplify]: Extracting #2: cost 6 inf + 0 280.025 * * [simplify]: Extracting #3: cost 10 inf + 0 280.025 * * [simplify]: Extracting #4: cost 24 inf + 0 280.026 * * [simplify]: Extracting #5: cost 142 inf + 0 280.026 * * [simplify]: Extracting #6: cost 260 inf + 44 280.027 * * [simplify]: Extracting #7: cost 291 inf + 1880 280.029 * * [simplify]: Extracting #8: cost 239 inf + 14596 280.035 * * [simplify]: Extracting #9: cost 135 inf + 41169 280.058 * * [simplify]: Extracting #10: cost 23 inf + 85247 280.096 * * [simplify]: Extracting #11: cost 3 inf + 99155 280.124 * * [simplify]: Extracting #12: cost 0 inf + 103310 280.143 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 280.143 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 280.144 * * * * [progress]: [ 694 / 4754 ] simplifiying candidate # 280.144 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 280.145 * * [simplify]: iters left: 6 (48 enodes) 280.165 * * [simplify]: iters left: 5 (240 enodes) 280.222 * * [simplify]: Extracting #0: cost 1 inf + 0 280.222 * * [simplify]: Extracting #1: cost 3 inf + 0 280.222 * * [simplify]: Extracting #2: cost 6 inf + 0 280.222 * * [simplify]: Extracting #3: cost 10 inf + 0 280.222 * * [simplify]: Extracting #4: cost 20 inf + 0 280.222 * * [simplify]: Extracting #5: cost 130 inf + 0 280.223 * * [simplify]: Extracting #6: cost 281 inf + 1 280.224 * * [simplify]: Extracting #7: cost 324 inf + 1556 280.230 * * [simplify]: Extracting #8: cost 179 inf + 35926 280.249 * * [simplify]: Extracting #9: cost 66 inf + 79049 280.268 * * [simplify]: Extracting #10: cost 15 inf + 104266 280.291 * * [simplify]: Extracting #11: cost 1 inf + 114415 280.324 * * [simplify]: Extracting #12: cost 0 inf + 116120 280.363 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 280.363 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 280.364 * * * * [progress]: [ 695 / 4754 ] simplifiying candidate # 280.364 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 280.364 * * [simplify]: iters left: 6 (49 enodes) 280.377 * * [simplify]: iters left: 5 (248 enodes) 280.450 * * [simplify]: Extracting #0: cost 1 inf + 0 280.450 * * [simplify]: Extracting #1: cost 3 inf + 0 280.450 * * [simplify]: Extracting #2: cost 6 inf + 0 280.450 * * [simplify]: Extracting #3: cost 10 inf + 0 280.450 * * [simplify]: Extracting #4: cost 20 inf + 0 280.450 * * [simplify]: Extracting #5: cost 133 inf + 0 280.451 * * [simplify]: Extracting #6: cost 300 inf + 1 280.452 * * [simplify]: Extracting #7: cost 335 inf + 1804 280.461 * * [simplify]: Extracting #8: cost 176 inf + 38888 280.492 * * [simplify]: Extracting #9: cost 73 inf + 78890 280.536 * * [simplify]: Extracting #10: cost 6 inf + 113146 280.578 * * [simplify]: Extracting #11: cost 0 inf + 117695 280.620 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))))) 280.620 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))) (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 280.621 * * * * [progress]: [ 696 / 4754 ] simplifiying candidate # 280.621 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 280.622 * * [simplify]: iters left: 6 (49 enodes) 280.647 * * [simplify]: iters left: 5 (248 enodes) 280.759 * * [simplify]: Extracting #0: cost 1 inf + 0 280.760 * * [simplify]: Extracting #1: cost 3 inf + 0 280.760 * * [simplify]: Extracting #2: cost 6 inf + 0 280.760 * * [simplify]: Extracting #3: cost 10 inf + 0 280.760 * * [simplify]: Extracting #4: cost 20 inf + 0 280.760 * * [simplify]: Extracting #5: cost 136 inf + 0 280.761 * * [simplify]: Extracting #6: cost 301 inf + 1 280.764 * * [simplify]: Extracting #7: cost 329 inf + 2211 280.775 * * [simplify]: Extracting #8: cost 178 inf + 37327 280.806 * * [simplify]: Extracting #9: cost 72 inf + 78381 280.845 * * [simplify]: Extracting #10: cost 8 inf + 110242 280.887 * * [simplify]: Extracting #11: cost 0 inf + 115466 280.929 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 280.929 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 280.930 * * * * [progress]: [ 697 / 4754 ] simplifiying candidate # 280.931 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 280.931 * * [simplify]: iters left: 6 (49 enodes) 280.954 * * [simplify]: iters left: 5 (246 enodes) 281.051 * * [simplify]: Extracting #0: cost 1 inf + 0 281.051 * * [simplify]: Extracting #1: cost 3 inf + 0 281.051 * * [simplify]: Extracting #2: cost 6 inf + 0 281.051 * * [simplify]: Extracting #3: cost 10 inf + 0 281.051 * * [simplify]: Extracting #4: cost 20 inf + 0 281.052 * * [simplify]: Extracting #5: cost 132 inf + 0 281.052 * * [simplify]: Extracting #6: cost 279 inf + 44 281.054 * * [simplify]: Extracting #7: cost 291 inf + 3351 281.059 * * [simplify]: Extracting #8: cost 164 inf + 32590 281.088 * * [simplify]: Extracting #9: cost 57 inf + 76324 281.115 * * [simplify]: Extracting #10: cost 4 inf + 98764 281.134 * * [simplify]: Extracting #11: cost 0 inf + 103171 281.165 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))))))) 281.165 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 281.166 * * * * [progress]: [ 698 / 4754 ] simplifiying candidate # 281.166 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 281.166 * * [simplify]: iters left: 6 (47 enodes) 281.179 * * [simplify]: iters left: 5 (234 enodes) 281.282 * * [simplify]: Extracting #0: cost 1 inf + 0 281.282 * * [simplify]: Extracting #1: cost 3 inf + 0 281.282 * * [simplify]: Extracting #2: cost 6 inf + 0 281.282 * * [simplify]: Extracting #3: cost 10 inf + 0 281.282 * * [simplify]: Extracting #4: cost 24 inf + 0 281.282 * * [simplify]: Extracting #5: cost 145 inf + 0 281.284 * * [simplify]: Extracting #6: cost 272 inf + 1 281.285 * * [simplify]: Extracting #7: cost 301 inf + 871 281.293 * * [simplify]: Extracting #8: cost 194 inf + 25230 281.318 * * [simplify]: Extracting #9: cost 36 inf + 95823 281.342 * * [simplify]: Extracting #10: cost 2 inf + 108894 281.361 * * [simplify]: Extracting #11: cost 0 inf + 106918 281.398 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 281.398 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 281.399 * * * * [progress]: [ 699 / 4754 ] simplifiying candidate # 281.400 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 281.400 * * [simplify]: iters left: 6 (48 enodes) 281.419 * * [simplify]: iters left: 5 (242 enodes) 281.489 * * [simplify]: Extracting #0: cost 1 inf + 0 281.489 * * [simplify]: Extracting #1: cost 3 inf + 0 281.489 * * [simplify]: Extracting #2: cost 6 inf + 0 281.489 * * [simplify]: Extracting #3: cost 10 inf + 0 281.489 * * [simplify]: Extracting #4: cost 24 inf + 0 281.490 * * [simplify]: Extracting #5: cost 144 inf + 0 281.491 * * [simplify]: Extracting #6: cost 280 inf + 44 281.493 * * [simplify]: Extracting #7: cost 298 inf + 2256 281.501 * * [simplify]: Extracting #8: cost 180 inf + 27444 281.527 * * [simplify]: Extracting #9: cost 45 inf + 81921 281.566 * * [simplify]: Extracting #10: cost 8 inf + 96386 281.591 * * [simplify]: Extracting #11: cost 0 inf + 101001 281.610 * * [simplify]: Extracting #12: cost 0 inf + 100201 281.640 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))))))) 281.640 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 281.641 * * * * [progress]: [ 700 / 4754 ] simplifiying candidate # 281.641 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 281.642 * * [simplify]: iters left: 6 (46 enodes) 281.664 * * [simplify]: iters left: 5 (232 enodes) 281.737 * * [simplify]: Extracting #0: cost 1 inf + 0 281.737 * * [simplify]: Extracting #1: cost 3 inf + 0 281.737 * * [simplify]: Extracting #2: cost 6 inf + 0 281.737 * * [simplify]: Extracting #3: cost 10 inf + 0 281.738 * * [simplify]: Extracting #4: cost 24 inf + 0 281.738 * * [simplify]: Extracting #5: cost 144 inf + 0 281.739 * * [simplify]: Extracting #6: cost 271 inf + 1 281.741 * * [simplify]: Extracting #7: cost 299 inf + 1112 281.749 * * [simplify]: Extracting #8: cost 187 inf + 26739 281.774 * * [simplify]: Extracting #9: cost 56 inf + 77049 281.799 * * [simplify]: Extracting #10: cost 8 inf + 101811 281.829 * * [simplify]: Extracting #11: cost 0 inf + 107234 281.868 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))))) 281.868 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 281.869 * * * * [progress]: [ 701 / 4754 ] simplifiying candidate # 281.870 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 281.870 * * [simplify]: iters left: 6 (48 enodes) 281.895 * * [simplify]: iters left: 5 (242 enodes) 282.002 * * [simplify]: Extracting #0: cost 1 inf + 0 282.002 * * [simplify]: Extracting #1: cost 3 inf + 0 282.002 * * [simplify]: Extracting #2: cost 6 inf + 0 282.002 * * [simplify]: Extracting #3: cost 10 inf + 0 282.002 * * [simplify]: Extracting #4: cost 24 inf + 0 282.002 * * [simplify]: Extracting #5: cost 143 inf + 0 282.004 * * [simplify]: Extracting #6: cost 280 inf + 44 282.006 * * [simplify]: Extracting #7: cost 297 inf + 2458 282.015 * * [simplify]: Extracting #8: cost 180 inf + 28369 282.041 * * [simplify]: Extracting #9: cost 45 inf + 82161 282.080 * * [simplify]: Extracting #10: cost 7 inf + 96838 282.116 * * [simplify]: Extracting #11: cost 0 inf + 101241 282.152 * * [simplify]: Extracting #12: cost 0 inf + 100441 282.187 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))))))) 282.187 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 282.188 * * * * [progress]: [ 702 / 4754 ] simplifiying candidate # 282.189 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 282.189 * * [simplify]: iters left: 6 (44 enodes) 282.212 * * [simplify]: iters left: 5 (225 enodes) 282.316 * * [simplify]: Extracting #0: cost 1 inf + 0 282.316 * * [simplify]: Extracting #1: cost 3 inf + 0 282.316 * * [simplify]: Extracting #2: cost 6 inf + 0 282.316 * * [simplify]: Extracting #3: cost 10 inf + 0 282.316 * * [simplify]: Extracting #4: cost 20 inf + 0 282.317 * * [simplify]: Extracting #5: cost 121 inf + 0 282.318 * * [simplify]: Extracting #6: cost 251 inf + 3 282.320 * * [simplify]: Extracting #7: cost 273 inf + 3099 282.325 * * [simplify]: Extracting #8: cost 189 inf + 20892 282.339 * * [simplify]: Extracting #9: cost 98 inf + 48953 282.354 * * [simplify]: Extracting #10: cost 18 inf + 82066 282.383 * * [simplify]: Extracting #11: cost 1 inf + 92349 282.418 * * [simplify]: Extracting #12: cost 0 inf + 93792 282.452 * * [simplify]: Extracting #13: cost 0 inf + 93701 282.486 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 282.486 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 282.487 * * * * [progress]: [ 703 / 4754 ] simplifiying candidate # 282.487 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 282.488 * * [simplify]: iters left: 6 (44 enodes) 282.512 * * [simplify]: iters left: 5 (223 enodes) 282.588 * * [simplify]: Extracting #0: cost 1 inf + 0 282.589 * * [simplify]: Extracting #1: cost 3 inf + 0 282.589 * * [simplify]: Extracting #2: cost 6 inf + 0 282.589 * * [simplify]: Extracting #3: cost 10 inf + 0 282.589 * * [simplify]: Extracting #4: cost 23 inf + 0 282.589 * * [simplify]: Extracting #5: cost 128 inf + 0 282.590 * * [simplify]: Extracting #6: cost 252 inf + 1 282.593 * * [simplify]: Extracting #7: cost 269 inf + 6839 282.601 * * [simplify]: Extracting #8: cost 158 inf + 30180 282.621 * * [simplify]: Extracting #9: cost 44 inf + 72243 282.641 * * [simplify]: Extracting #10: cost 6 inf + 87668 282.672 * * [simplify]: Extracting #11: cost 0 inf + 90746 282.689 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) 282.689 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 282.690 * * * * [progress]: [ 704 / 4754 ] simplifiying candidate # 282.690 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 282.690 * * [simplify]: iters left: 6 (43 enodes) 282.703 * * [simplify]: iters left: 5 (222 enodes) 282.793 * * [simplify]: Extracting #0: cost 1 inf + 0 282.793 * * [simplify]: Extracting #1: cost 3 inf + 0 282.793 * * [simplify]: Extracting #2: cost 6 inf + 0 282.793 * * [simplify]: Extracting #3: cost 10 inf + 0 282.793 * * [simplify]: Extracting #4: cost 20 inf + 0 282.793 * * [simplify]: Extracting #5: cost 121 inf + 0 282.794 * * [simplify]: Extracting #6: cost 255 inf + 86 282.795 * * [simplify]: Extracting #7: cost 309 inf + 1515 282.798 * * [simplify]: Extracting #8: cost 212 inf + 31264 282.812 * * [simplify]: Extracting #9: cost 95 inf + 84416 282.844 * * [simplify]: Extracting #10: cost 25 inf + 96312 282.886 * * [simplify]: Extracting #11: cost 2 inf + 108251 282.926 * * [simplify]: Extracting #12: cost 0 inf + 110861 282.966 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 282.966 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 282.968 * * * * [progress]: [ 705 / 4754 ] simplifiying candidate # 282.968 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 282.969 * * [simplify]: iters left: 6 (43 enodes) 282.992 * * [simplify]: iters left: 5 (220 enodes) 283.092 * * [simplify]: Extracting #0: cost 1 inf + 0 283.092 * * [simplify]: Extracting #1: cost 3 inf + 0 283.092 * * [simplify]: Extracting #2: cost 6 inf + 0 283.092 * * [simplify]: Extracting #3: cost 10 inf + 0 283.092 * * [simplify]: Extracting #4: cost 20 inf + 0 283.092 * * [simplify]: Extracting #5: cost 112 inf + 0 283.093 * * [simplify]: Extracting #6: cost 244 inf + 44 283.094 * * [simplify]: Extracting #7: cost 300 inf + 904 283.097 * * [simplify]: Extracting #8: cost 206 inf + 27241 283.107 * * [simplify]: Extracting #9: cost 90 inf + 71613 283.123 * * [simplify]: Extracting #10: cost 17 inf + 89947 283.162 * * [simplify]: Extracting #11: cost 3 inf + 97044 283.187 * * [simplify]: Extracting #12: cost 1 inf + 100254 283.206 * * [simplify]: Extracting #13: cost 0 inf + 101879 283.240 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))))) 283.240 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 283.241 * * * * [progress]: [ 706 / 4754 ] simplifiying candidate # 283.242 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 283.242 * * [simplify]: iters left: 6 (43 enodes) 283.267 * * [simplify]: iters left: 5 (218 enodes) 283.369 * * [simplify]: Extracting #0: cost 1 inf + 0 283.369 * * [simplify]: Extracting #1: cost 3 inf + 0 283.369 * * [simplify]: Extracting #2: cost 6 inf + 0 283.369 * * [simplify]: Extracting #3: cost 10 inf + 0 283.370 * * [simplify]: Extracting #4: cost 20 inf + 0 283.370 * * [simplify]: Extracting #5: cost 117 inf + 0 283.371 * * [simplify]: Extracting #6: cost 231 inf + 86 283.373 * * [simplify]: Extracting #7: cost 276 inf + 1637 283.380 * * [simplify]: Extracting #8: cost 170 inf + 33655 283.401 * * [simplify]: Extracting #9: cost 70 inf + 74158 283.433 * * [simplify]: Extracting #10: cost 15 inf + 86382 283.450 * * [simplify]: Extracting #11: cost 3 inf + 91365 283.467 * * [simplify]: Extracting #12: cost 1 inf + 94375 283.485 * * [simplify]: Extracting #13: cost 0 inf + 95920 283.503 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))))) 283.503 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 283.504 * * * * [progress]: [ 707 / 4754 ] simplifiying candidate # 283.504 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 283.504 * * [simplify]: iters left: 6 (37 enodes) 283.514 * * [simplify]: iters left: 5 (185 enodes) 283.558 * * [simplify]: Extracting #0: cost 1 inf + 0 283.558 * * [simplify]: Extracting #1: cost 3 inf + 0 283.558 * * [simplify]: Extracting #2: cost 6 inf + 0 283.558 * * [simplify]: Extracting #3: cost 10 inf + 0 283.558 * * [simplify]: Extracting #4: cost 20 inf + 0 283.559 * * [simplify]: Extracting #5: cost 112 inf + 0 283.559 * * [simplify]: Extracting #6: cost 202 inf + 86 283.560 * * [simplify]: Extracting #7: cost 235 inf + 1230 283.565 * * [simplify]: Extracting #8: cost 158 inf + 29505 283.580 * * [simplify]: Extracting #9: cost 76 inf + 55027 283.592 * * [simplify]: Extracting #10: cost 15 inf + 66381 283.609 * * [simplify]: Extracting #11: cost 2 inf + 75658 283.639 * * [simplify]: Extracting #12: cost 0 inf + 78228 283.669 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))))))) 283.669 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 283.670 * * * * [progress]: [ 708 / 4754 ] simplifiying candidate # 283.671 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 283.672 * * [simplify]: iters left: 6 (42 enodes) 283.695 * * [simplify]: iters left: 5 (214 enodes) 283.773 * * [simplify]: Extracting #0: cost 1 inf + 0 283.773 * * [simplify]: Extracting #1: cost 3 inf + 0 283.773 * * [simplify]: Extracting #2: cost 6 inf + 0 283.773 * * [simplify]: Extracting #3: cost 10 inf + 0 283.773 * * [simplify]: Extracting #4: cost 24 inf + 0 283.773 * * [simplify]: Extracting #5: cost 131 inf + 0 283.774 * * [simplify]: Extracting #6: cost 235 inf + 127 283.775 * * [simplify]: Extracting #7: cost 262 inf + 2328 283.777 * * [simplify]: Extracting #8: cost 196 inf + 25220 283.786 * * [simplify]: Extracting #9: cost 94 inf + 67218 283.805 * * [simplify]: Extracting #10: cost 26 inf + 79323 283.837 * * [simplify]: Extracting #11: cost 2 inf + 93025 283.876 * * [simplify]: Extracting #12: cost 0 inf + 95835 283.904 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 283.904 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 283.905 * * * * [progress]: [ 709 / 4754 ] simplifiying candidate # 283.905 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 283.905 * * [simplify]: iters left: 6 (35 enodes) 283.915 * * [simplify]: iters left: 5 (166 enodes) 283.963 * * [simplify]: iters left: 4 (473 enodes) 284.224 * * [simplify]: Extracting #0: cost 1 inf + 0 284.224 * * [simplify]: Extracting #1: cost 4 inf + 0 284.224 * * [simplify]: Extracting #2: cost 7 inf + 0 284.224 * * [simplify]: Extracting #3: cost 21 inf + 0 284.225 * * [simplify]: Extracting #4: cost 211 inf + 0 284.226 * * [simplify]: Extracting #5: cost 563 inf + 128 284.229 * * [simplify]: Extracting #6: cost 724 inf + 4603 284.237 * * [simplify]: Extracting #7: cost 574 inf + 34647 284.271 * * [simplify]: Extracting #8: cost 288 inf + 127243 284.331 * * [simplify]: Extracting #9: cost 57 inf + 224252 284.409 * * [simplify]: Extracting #10: cost 3 inf + 248677 284.485 * * [simplify]: Extracting #11: cost 0 inf + 251272 284.590 * * [simplify]: Extracting #12: cost 0 inf + 251152 284.650 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) 284.650 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 284.651 * * * * [progress]: [ 710 / 4754 ] simplifiying candidate # 284.651 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 284.651 * * [simplify]: iters left: 6 (42 enodes) 284.663 * * [simplify]: iters left: 5 (214 enodes) 284.715 * * [simplify]: Extracting #0: cost 1 inf + 0 284.715 * * [simplify]: Extracting #1: cost 3 inf + 0 284.715 * * [simplify]: Extracting #2: cost 6 inf + 0 284.715 * * [simplify]: Extracting #3: cost 10 inf + 0 284.715 * * [simplify]: Extracting #4: cost 24 inf + 0 284.716 * * [simplify]: Extracting #5: cost 131 inf + 0 284.716 * * [simplify]: Extracting #6: cost 235 inf + 127 284.717 * * [simplify]: Extracting #7: cost 261 inf + 2450 284.720 * * [simplify]: Extracting #8: cost 193 inf + 26428 284.728 * * [simplify]: Extracting #9: cost 97 inf + 65787 284.742 * * [simplify]: Extracting #10: cost 25 inf + 80607 284.764 * * [simplify]: Extracting #11: cost 1 inf + 95090 284.799 * * [simplify]: Extracting #12: cost 0 inf + 96315 284.835 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 284.835 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 284.836 * * * * [progress]: [ 711 / 4754 ] simplifiying candidate # 284.837 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 284.837 * * [simplify]: iters left: 6 (31 enodes) 284.854 * * [simplify]: iters left: 5 (149 enodes) 284.892 * * [simplify]: iters left: 4 (439 enodes) 285.147 * * [simplify]: Extracting #0: cost 1 inf + 0 285.147 * * [simplify]: Extracting #1: cost 4 inf + 0 285.147 * * [simplify]: Extracting #2: cost 7 inf + 0 285.147 * * [simplify]: Extracting #3: cost 19 inf + 0 285.148 * * [simplify]: Extracting #4: cost 200 inf + 0 285.150 * * [simplify]: Extracting #5: cost 521 inf + 128 285.163 * * [simplify]: Extracting #6: cost 685 inf + 5614 285.180 * * [simplify]: Extracting #7: cost 501 inf + 40719 285.225 * * [simplify]: Extracting #8: cost 254 inf + 123540 285.310 * * [simplify]: Extracting #9: cost 37 inf + 217436 285.375 * * [simplify]: Extracting #10: cost 1 inf + 237074 285.461 * * [simplify]: Extracting #11: cost 0 inf + 237579 285.533 * * [simplify]: Extracting #12: cost 0 inf + 237539 285.596 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) 285.596 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 285.596 * * * * [progress]: [ 712 / 4754 ] simplifiying candidate # 285.597 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 285.597 * * [simplify]: iters left: 6 (48 enodes) 285.618 * * [simplify]: iters left: 5 (250 enodes) 285.687 * * [simplify]: Extracting #0: cost 1 inf + 0 285.687 * * [simplify]: Extracting #1: cost 3 inf + 0 285.688 * * [simplify]: Extracting #2: cost 6 inf + 0 285.688 * * [simplify]: Extracting #3: cost 10 inf + 0 285.688 * * [simplify]: Extracting #4: cost 20 inf + 0 285.688 * * [simplify]: Extracting #5: cost 123 inf + 0 285.688 * * [simplify]: Extracting #6: cost 279 inf + 44 285.690 * * [simplify]: Extracting #7: cost 342 inf + 953 285.695 * * [simplify]: Extracting #8: cost 193 inf + 34587 285.717 * * [simplify]: Extracting #9: cost 64 inf + 81535 285.759 * * [simplify]: Extracting #10: cost 7 inf + 116127 285.809 * * [simplify]: Extracting #11: cost 0 inf + 120550 285.844 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 285.844 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 285.844 * * * * [progress]: [ 713 / 4754 ] simplifiying candidate # 285.845 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 285.845 * * [simplify]: iters left: 6 (48 enodes) 285.858 * * [simplify]: iters left: 5 (252 enodes) 285.926 * * [simplify]: Extracting #0: cost 1 inf + 0 285.926 * * [simplify]: Extracting #1: cost 3 inf + 0 285.926 * * [simplify]: Extracting #2: cost 6 inf + 0 285.926 * * [simplify]: Extracting #3: cost 10 inf + 0 285.926 * * [simplify]: Extracting #4: cost 20 inf + 0 285.927 * * [simplify]: Extracting #5: cost 124 inf + 0 285.927 * * [simplify]: Extracting #6: cost 292 inf + 44 285.929 * * [simplify]: Extracting #7: cost 345 inf + 2091 285.936 * * [simplify]: Extracting #8: cost 185 inf + 37535 285.955 * * [simplify]: Extracting #9: cost 47 inf + 93480 285.991 * * [simplify]: Extracting #10: cost 2 inf + 119481 286.036 * * [simplify]: Extracting #11: cost 0 inf + 121398 286.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 286.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 286.081 * * * * [progress]: [ 714 / 4754 ] simplifiying candidate # 286.081 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 286.082 * * [simplify]: iters left: 6 (48 enodes) 286.108 * * [simplify]: iters left: 5 (252 enodes) 286.228 * * [simplify]: Extracting #0: cost 1 inf + 0 286.228 * * [simplify]: Extracting #1: cost 3 inf + 0 286.228 * * [simplify]: Extracting #2: cost 6 inf + 0 286.229 * * [simplify]: Extracting #3: cost 10 inf + 0 286.229 * * [simplify]: Extracting #4: cost 20 inf + 0 286.229 * * [simplify]: Extracting #5: cost 127 inf + 0 286.230 * * [simplify]: Extracting #6: cost 288 inf + 86 286.233 * * [simplify]: Extracting #7: cost 327 inf + 3348 286.243 * * [simplify]: Extracting #8: cost 195 inf + 29021 286.266 * * [simplify]: Extracting #9: cost 93 inf + 65664 286.307 * * [simplify]: Extracting #10: cost 21 inf + 100675 286.332 * * [simplify]: Extracting #11: cost 1 inf + 117069 286.355 * * [simplify]: Extracting #12: cost 0 inf + 118814 286.378 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 286.378 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 286.379 * * * * [progress]: [ 715 / 4754 ] simplifiying candidate # 286.379 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 286.379 * * [simplify]: iters left: 6 (42 enodes) 286.392 * * [simplify]: iters left: 5 (216 enodes) 286.453 * * [simplify]: Extracting #0: cost 1 inf + 0 286.453 * * [simplify]: Extracting #1: cost 3 inf + 0 286.453 * * [simplify]: Extracting #2: cost 6 inf + 0 286.454 * * [simplify]: Extracting #3: cost 10 inf + 0 286.454 * * [simplify]: Extracting #4: cost 20 inf + 0 286.454 * * [simplify]: Extracting #5: cost 118 inf + 0 286.454 * * [simplify]: Extracting #6: cost 250 inf + 86 286.455 * * [simplify]: Extracting #7: cost 287 inf + 1641 286.460 * * [simplify]: Extracting #8: cost 160 inf + 28437 286.481 * * [simplify]: Extracting #9: cost 30 inf + 78984 286.507 * * [simplify]: Extracting #10: cost 3 inf + 92447 286.526 * * [simplify]: Extracting #11: cost 0 inf + 95109 286.561 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))))))) 286.561 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 286.562 * * * * [progress]: [ 716 / 4754 ] simplifiying candidate # 286.563 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 286.563 * * [simplify]: iters left: 6 (47 enodes) 286.589 * * [simplify]: iters left: 5 (246 enodes) 286.663 * * [simplify]: Extracting #0: cost 1 inf + 0 286.663 * * [simplify]: Extracting #1: cost 3 inf + 0 286.663 * * [simplify]: Extracting #2: cost 6 inf + 0 286.663 * * [simplify]: Extracting #3: cost 10 inf + 0 286.663 * * [simplify]: Extracting #4: cost 24 inf + 0 286.664 * * [simplify]: Extracting #5: cost 143 inf + 0 286.665 * * [simplify]: Extracting #6: cost 281 inf + 127 286.668 * * [simplify]: Extracting #7: cost 309 inf + 2907 286.673 * * [simplify]: Extracting #8: cost 220 inf + 19147 286.682 * * [simplify]: Extracting #9: cost 119 inf + 51678 286.702 * * [simplify]: Extracting #10: cost 20 inf + 95831 286.727 * * [simplify]: Extracting #11: cost 4 inf + 104950 286.768 * * [simplify]: Extracting #12: cost 0 inf + 111130 286.804 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 286.804 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 286.804 * * * * [progress]: [ 717 / 4754 ] simplifiying candidate # 286.805 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 286.805 * * [simplify]: iters left: 6 (41 enodes) 286.820 * * [simplify]: iters left: 5 (210 enodes) 286.871 * * [simplify]: Extracting #0: cost 1 inf + 0 286.871 * * [simplify]: Extracting #1: cost 3 inf + 0 286.871 * * [simplify]: Extracting #2: cost 6 inf + 0 286.871 * * [simplify]: Extracting #3: cost 10 inf + 0 286.871 * * [simplify]: Extracting #4: cost 24 inf + 0 286.872 * * [simplify]: Extracting #5: cost 119 inf + 0 286.872 * * [simplify]: Extracting #6: cost 233 inf + 86 286.873 * * [simplify]: Extracting #7: cost 266 inf + 1560 286.877 * * [simplify]: Extracting #8: cost 161 inf + 22941 286.889 * * [simplify]: Extracting #9: cost 36 inf + 68628 286.922 * * [simplify]: Extracting #10: cost 9 inf + 79134 286.947 * * [simplify]: Extracting #11: cost 2 inf + 85174 286.965 * * [simplify]: Extracting #12: cost 0 inf + 87864 286.994 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 286.994 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 286.995 * * * * [progress]: [ 718 / 4754 ] simplifiying candidate # 286.996 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 286.996 * * [simplify]: iters left: 6 (47 enodes) 287.022 * * [simplify]: iters left: 5 (246 enodes) 287.121 * * [simplify]: Extracting #0: cost 1 inf + 0 287.121 * * [simplify]: Extracting #1: cost 3 inf + 0 287.121 * * [simplify]: Extracting #2: cost 6 inf + 0 287.122 * * [simplify]: Extracting #3: cost 10 inf + 0 287.122 * * [simplify]: Extracting #4: cost 24 inf + 0 287.122 * * [simplify]: Extracting #5: cost 143 inf + 0 287.123 * * [simplify]: Extracting #6: cost 283 inf + 86 287.124 * * [simplify]: Extracting #7: cost 312 inf + 2624 287.127 * * [simplify]: Extracting #8: cost 231 inf + 17327 287.142 * * [simplify]: Extracting #9: cost 129 inf + 48423 287.176 * * [simplify]: Extracting #10: cost 28 inf + 93823 287.215 * * [simplify]: Extracting #11: cost 4 inf + 108074 287.255 * * [simplify]: Extracting #12: cost 0 inf + 114414 287.294 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 287.294 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 287.295 * * * * [progress]: [ 719 / 4754 ] simplifiying candidate # 287.295 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 287.295 * * [simplify]: iters left: 6 (40 enodes) 287.307 * * [simplify]: iters left: 5 (208 enodes) 287.383 * * [simplify]: Extracting #0: cost 1 inf + 0 287.383 * * [simplify]: Extracting #1: cost 3 inf + 0 287.383 * * [simplify]: Extracting #2: cost 6 inf + 0 287.383 * * [simplify]: Extracting #3: cost 10 inf + 0 287.383 * * [simplify]: Extracting #4: cost 24 inf + 0 287.384 * * [simplify]: Extracting #5: cost 116 inf + 0 287.385 * * [simplify]: Extracting #6: cost 231 inf + 86 287.387 * * [simplify]: Extracting #7: cost 263 inf + 1563 287.393 * * [simplify]: Extracting #8: cost 158 inf + 23568 287.409 * * [simplify]: Extracting #9: cost 36 inf + 67512 287.427 * * [simplify]: Extracting #10: cost 6 inf + 82972 287.444 * * [simplify]: Extracting #11: cost 3 inf + 84741 287.473 * * [simplify]: Extracting #12: cost 0 inf + 88856 287.507 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) 287.507 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 287.509 * * * * [progress]: [ 720 / 4754 ] simplifiying candidate # 287.509 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 287.510 * * [simplify]: iters left: 6 (48 enodes) 287.537 * * [simplify]: iters left: 5 (249 enodes) 287.612 * * [simplify]: Extracting #0: cost 1 inf + 0 287.613 * * [simplify]: Extracting #1: cost 3 inf + 0 287.613 * * [simplify]: Extracting #2: cost 6 inf + 0 287.613 * * [simplify]: Extracting #3: cost 10 inf + 0 287.613 * * [simplify]: Extracting #4: cost 20 inf + 0 287.613 * * [simplify]: Extracting #5: cost 123 inf + 0 287.614 * * [simplify]: Extracting #6: cost 281 inf + 44 287.617 * * [simplify]: Extracting #7: cost 334 inf + 1522 287.624 * * [simplify]: Extracting #8: cost 230 inf + 18939 287.642 * * [simplify]: Extracting #9: cost 115 inf + 56278 287.661 * * [simplify]: Extracting #10: cost 20 inf + 106100 287.686 * * [simplify]: Extracting #11: cost 0 inf + 120022 287.725 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 287.725 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 287.726 * * * * [progress]: [ 721 / 4754 ] simplifiying candidate # 287.727 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 287.728 * * [simplify]: iters left: 6 (48 enodes) 287.753 * * [simplify]: iters left: 5 (251 enodes) 287.819 * * [simplify]: Extracting #0: cost 1 inf + 0 287.820 * * [simplify]: Extracting #1: cost 3 inf + 0 287.820 * * [simplify]: Extracting #2: cost 6 inf + 0 287.820 * * [simplify]: Extracting #3: cost 10 inf + 0 287.820 * * [simplify]: Extracting #4: cost 20 inf + 0 287.820 * * [simplify]: Extracting #5: cost 124 inf + 0 287.821 * * [simplify]: Extracting #6: cost 291 inf + 86 287.822 * * [simplify]: Extracting #7: cost 338 inf + 2172 287.833 * * [simplify]: Extracting #8: cost 163 inf + 42344 287.856 * * [simplify]: Extracting #9: cost 44 inf + 91032 287.879 * * [simplify]: Extracting #10: cost 0 inf + 120321 287.922 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 287.922 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 287.924 * * * * [progress]: [ 722 / 4754 ] simplifiying candidate # 287.924 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 287.925 * * [simplify]: iters left: 6 (48 enodes) 287.951 * * [simplify]: iters left: 5 (251 enodes) 288.051 * * [simplify]: Extracting #0: cost 1 inf + 0 288.051 * * [simplify]: Extracting #1: cost 3 inf + 0 288.051 * * [simplify]: Extracting #2: cost 6 inf + 0 288.051 * * [simplify]: Extracting #3: cost 10 inf + 0 288.051 * * [simplify]: Extracting #4: cost 20 inf + 0 288.051 * * [simplify]: Extracting #5: cost 127 inf + 0 288.052 * * [simplify]: Extracting #6: cost 290 inf + 44 288.053 * * [simplify]: Extracting #7: cost 333 inf + 1766 288.056 * * [simplify]: Extracting #8: cost 237 inf + 16038 288.076 * * [simplify]: Extracting #9: cost 103 inf + 62978 288.120 * * [simplify]: Extracting #10: cost 7 inf + 111407 288.144 * * [simplify]: Extracting #11: cost 0 inf + 116901 288.168 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 288.168 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 288.169 * * * * [progress]: [ 723 / 4754 ] simplifiying candidate # 288.169 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 288.170 * * [simplify]: iters left: 6 (42 enodes) 288.192 * * [simplify]: iters left: 5 (215 enodes) 288.258 * * [simplify]: Extracting #0: cost 1 inf + 0 288.258 * * [simplify]: Extracting #1: cost 3 inf + 0 288.258 * * [simplify]: Extracting #2: cost 6 inf + 0 288.258 * * [simplify]: Extracting #3: cost 10 inf + 0 288.258 * * [simplify]: Extracting #4: cost 20 inf + 0 288.258 * * [simplify]: Extracting #5: cost 118 inf + 0 288.259 * * [simplify]: Extracting #6: cost 251 inf + 86 288.261 * * [simplify]: Extracting #7: cost 277 inf + 2293 288.268 * * [simplify]: Extracting #8: cost 188 inf + 17249 288.281 * * [simplify]: Extracting #9: cost 99 inf + 44240 288.304 * * [simplify]: Extracting #10: cost 23 inf + 79487 288.330 * * [simplify]: Extracting #11: cost 1 inf + 95331 288.354 * * [simplify]: Extracting #12: cost 0 inf + 96756 288.374 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 288.374 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 288.375 * * * * [progress]: [ 724 / 4754 ] simplifiying candidate # 288.376 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 288.377 * * [simplify]: iters left: 6 (47 enodes) 288.402 * * [simplify]: iters left: 5 (245 enodes) 288.486 * * [simplify]: Extracting #0: cost 1 inf + 0 288.486 * * [simplify]: Extracting #1: cost 3 inf + 0 288.486 * * [simplify]: Extracting #2: cost 6 inf + 0 288.487 * * [simplify]: Extracting #3: cost 10 inf + 0 288.487 * * [simplify]: Extracting #4: cost 24 inf + 0 288.487 * * [simplify]: Extracting #5: cost 143 inf + 0 288.489 * * [simplify]: Extracting #6: cost 284 inf + 86 288.491 * * [simplify]: Extracting #7: cost 315 inf + 1808 288.498 * * [simplify]: Extracting #8: cost 216 inf + 19226 288.514 * * [simplify]: Extracting #9: cost 119 inf + 51874 288.542 * * [simplify]: Extracting #10: cost 16 inf + 99363 288.562 * * [simplify]: Extracting #11: cost 4 inf + 106942 288.584 * * [simplify]: Extracting #12: cost 0 inf + 113282 288.606 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 288.606 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 288.607 * * * * [progress]: [ 725 / 4754 ] simplifiying candidate # 288.607 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 288.607 * * [simplify]: iters left: 6 (41 enodes) 288.618 * * [simplify]: iters left: 5 (208 enodes) 288.665 * * [simplify]: Extracting #0: cost 1 inf + 0 288.665 * * [simplify]: Extracting #1: cost 3 inf + 0 288.665 * * [simplify]: Extracting #2: cost 6 inf + 0 288.665 * * [simplify]: Extracting #3: cost 10 inf + 0 288.665 * * [simplify]: Extracting #4: cost 24 inf + 0 288.665 * * [simplify]: Extracting #5: cost 118 inf + 0 288.666 * * [simplify]: Extracting #6: cost 230 inf + 86 288.666 * * [simplify]: Extracting #7: cost 256 inf + 1646 288.669 * * [simplify]: Extracting #8: cost 176 inf + 14179 288.675 * * [simplify]: Extracting #9: cost 100 inf + 36315 288.690 * * [simplify]: Extracting #10: cost 13 inf + 74465 288.722 * * [simplify]: Extracting #11: cost 1 inf + 85205 288.757 * * [simplify]: Extracting #12: cost 0 inf + 86630 288.788 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 288.788 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 288.788 * * * * [progress]: [ 726 / 4754 ] simplifiying candidate # 288.789 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 288.789 * * [simplify]: iters left: 6 (47 enodes) 288.802 * * [simplify]: iters left: 5 (245 enodes) 288.887 * * [simplify]: Extracting #0: cost 1 inf + 0 288.887 * * [simplify]: Extracting #1: cost 3 inf + 0 288.887 * * [simplify]: Extracting #2: cost 6 inf + 0 288.888 * * [simplify]: Extracting #3: cost 10 inf + 0 288.888 * * [simplify]: Extracting #4: cost 24 inf + 0 288.888 * * [simplify]: Extracting #5: cost 143 inf + 0 288.889 * * [simplify]: Extracting #6: cost 284 inf + 86 288.892 * * [simplify]: Extracting #7: cost 315 inf + 1808 288.898 * * [simplify]: Extracting #8: cost 219 inf + 18414 288.915 * * [simplify]: Extracting #9: cost 122 inf + 51102 288.948 * * [simplify]: Extracting #10: cost 16 inf + 100163 288.991 * * [simplify]: Extracting #11: cost 4 inf + 107742 289.015 * * [simplify]: Extracting #12: cost 0 inf + 114082 289.044 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 289.044 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 289.046 * * * * [progress]: [ 727 / 4754 ] simplifiying candidate # 289.046 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 289.047 * * [simplify]: iters left: 6 (40 enodes) 289.066 * * [simplify]: iters left: 5 (205 enodes) 289.120 * * [simplify]: Extracting #0: cost 1 inf + 0 289.120 * * [simplify]: Extracting #1: cost 3 inf + 0 289.120 * * [simplify]: Extracting #2: cost 6 inf + 0 289.120 * * [simplify]: Extracting #3: cost 10 inf + 0 289.120 * * [simplify]: Extracting #4: cost 24 inf + 0 289.120 * * [simplify]: Extracting #5: cost 117 inf + 0 289.122 * * [simplify]: Extracting #6: cost 230 inf + 86 289.124 * * [simplify]: Extracting #7: cost 259 inf + 1479 289.128 * * [simplify]: Extracting #8: cost 188 inf + 12349 289.140 * * [simplify]: Extracting #9: cost 110 inf + 36549 289.158 * * [simplify]: Extracting #10: cost 13 inf + 74238 289.173 * * [simplify]: Extracting #11: cost 4 inf + 79530 289.206 * * [simplify]: Extracting #12: cost 2 inf + 82500 289.228 * * [simplify]: Extracting #13: cost 0 inf + 85470 289.245 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 289.245 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 289.246 * * * * [progress]: [ 728 / 4754 ] simplifiying candidate # 289.246 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 289.247 * * [simplify]: iters left: 6 (48 enodes) 289.274 * * [simplify]: iters left: 5 (254 enodes) 289.363 * * [simplify]: Extracting #0: cost 1 inf + 0 289.363 * * [simplify]: Extracting #1: cost 3 inf + 0 289.363 * * [simplify]: Extracting #2: cost 6 inf + 0 289.363 * * [simplify]: Extracting #3: cost 10 inf + 0 289.363 * * [simplify]: Extracting #4: cost 20 inf + 0 289.364 * * [simplify]: Extracting #5: cost 131 inf + 0 289.365 * * [simplify]: Extracting #6: cost 299 inf + 86 289.368 * * [simplify]: Extracting #7: cost 339 inf + 2900 289.382 * * [simplify]: Extracting #8: cost 181 inf + 40385 289.404 * * [simplify]: Extracting #9: cost 52 inf + 87739 289.429 * * [simplify]: Extracting #10: cost 9 inf + 105879 289.451 * * [simplify]: Extracting #11: cost 1 inf + 112547 289.482 * * [simplify]: Extracting #12: cost 0 inf + 114212 289.506 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 289.506 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 289.507 * * * * [progress]: [ 729 / 4754 ] simplifiying candidate # 289.507 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 289.508 * * [simplify]: iters left: 6 (48 enodes) 289.535 * * [simplify]: iters left: 5 (252 enodes) 289.601 * * [simplify]: Extracting #0: cost 1 inf + 0 289.601 * * [simplify]: Extracting #1: cost 3 inf + 0 289.601 * * [simplify]: Extracting #2: cost 6 inf + 0 289.601 * * [simplify]: Extracting #3: cost 10 inf + 0 289.601 * * [simplify]: Extracting #4: cost 20 inf + 0 289.601 * * [simplify]: Extracting #5: cost 124 inf + 0 289.602 * * [simplify]: Extracting #6: cost 290 inf + 86 289.608 * * [simplify]: Extracting #7: cost 329 inf + 2535 289.617 * * [simplify]: Extracting #8: cost 195 inf + 28134 289.629 * * [simplify]: Extracting #9: cost 107 inf + 60114 289.646 * * [simplify]: Extracting #10: cost 21 inf + 93794 289.681 * * [simplify]: Extracting #11: cost 5 inf + 100580 289.719 * * [simplify]: Extracting #12: cost 2 inf + 105015 289.749 * * [simplify]: Extracting #13: cost 0 inf + 108385 289.770 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 289.770 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 289.771 * * * * [progress]: [ 730 / 4754 ] simplifiying candidate # 289.771 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 289.772 * * [simplify]: iters left: 6 (48 enodes) 289.799 * * [simplify]: iters left: 5 (252 enodes) 289.920 * * [simplify]: Extracting #0: cost 1 inf + 0 289.920 * * [simplify]: Extracting #1: cost 3 inf + 0 289.920 * * [simplify]: Extracting #2: cost 6 inf + 0 289.920 * * [simplify]: Extracting #3: cost 10 inf + 0 289.920 * * [simplify]: Extracting #4: cost 20 inf + 0 289.921 * * [simplify]: Extracting #5: cost 127 inf + 0 289.922 * * [simplify]: Extracting #6: cost 288 inf + 86 289.924 * * [simplify]: Extracting #7: cost 321 inf + 2696 289.934 * * [simplify]: Extracting #8: cost 177 inf + 33942 289.960 * * [simplify]: Extracting #9: cost 45 inf + 83516 289.983 * * [simplify]: Extracting #10: cost 6 inf + 102069 290.023 * * [simplify]: Extracting #11: cost 0 inf + 105967 290.043 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 290.043 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 290.044 * * * * [progress]: [ 731 / 4754 ] simplifiying candidate # 290.044 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 290.045 * * [simplify]: iters left: 6 (42 enodes) 290.064 * * [simplify]: iters left: 5 (220 enodes) 290.133 * * [simplify]: Extracting #0: cost 1 inf + 0 290.133 * * [simplify]: Extracting #1: cost 3 inf + 0 290.133 * * [simplify]: Extracting #2: cost 6 inf + 0 290.133 * * [simplify]: Extracting #3: cost 10 inf + 0 290.133 * * [simplify]: Extracting #4: cost 20 inf + 0 290.134 * * [simplify]: Extracting #5: cost 124 inf + 0 290.134 * * [simplify]: Extracting #6: cost 266 inf + 86 290.135 * * [simplify]: Extracting #7: cost 291 inf + 1559 290.139 * * [simplify]: Extracting #8: cost 179 inf + 23479 290.150 * * [simplify]: Extracting #9: cost 48 inf + 65317 290.175 * * [simplify]: Extracting #10: cost 4 inf + 88928 290.194 * * [simplify]: Extracting #11: cost 0 inf + 89989 290.228 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))))) 290.228 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 290.229 * * * * [progress]: [ 732 / 4754 ] simplifiying candidate # 290.229 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 290.230 * * [simplify]: iters left: 6 (47 enodes) 290.253 * * [simplify]: iters left: 5 (246 enodes) 290.376 * * [simplify]: Extracting #0: cost 1 inf + 0 290.377 * * [simplify]: Extracting #1: cost 3 inf + 0 290.377 * * [simplify]: Extracting #2: cost 6 inf + 0 290.377 * * [simplify]: Extracting #3: cost 10 inf + 0 290.377 * * [simplify]: Extracting #4: cost 24 inf + 0 290.377 * * [simplify]: Extracting #5: cost 147 inf + 0 290.379 * * [simplify]: Extracting #6: cost 287 inf + 86 290.381 * * [simplify]: Extracting #7: cost 306 inf + 2909 290.391 * * [simplify]: Extracting #8: cost 171 inf + 31776 290.419 * * [simplify]: Extracting #9: cost 42 inf + 81222 290.440 * * [simplify]: Extracting #10: cost 4 inf + 98304 290.460 * * [simplify]: Extracting #11: cost 1 inf + 100473 290.491 * * [simplify]: Extracting #12: cost 0 inf + 102178 290.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))))))) 290.515 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 290.515 * * * * [progress]: [ 733 / 4754 ] simplifiying candidate # 290.516 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 290.516 * * [simplify]: iters left: 6 (41 enodes) 290.527 * * [simplify]: iters left: 5 (210 enodes) 290.615 * * [simplify]: Extracting #0: cost 1 inf + 0 290.615 * * [simplify]: Extracting #1: cost 3 inf + 0 290.615 * * [simplify]: Extracting #2: cost 6 inf + 0 290.615 * * [simplify]: Extracting #3: cost 10 inf + 0 290.615 * * [simplify]: Extracting #4: cost 24 inf + 0 290.615 * * [simplify]: Extracting #5: cost 128 inf + 0 290.616 * * [simplify]: Extracting #6: cost 243 inf + 86 290.617 * * [simplify]: Extracting #7: cost 263 inf + 2367 290.623 * * [simplify]: Extracting #8: cost 155 inf + 27369 290.631 * * [simplify]: Extracting #9: cost 93 inf + 42153 290.653 * * [simplify]: Extracting #10: cost 16 inf + 71649 290.670 * * [simplify]: Extracting #11: cost 1 inf + 81531 290.692 * * [simplify]: Extracting #12: cost 0 inf + 82756 290.727 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 290.728 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 290.729 * * * * [progress]: [ 734 / 4754 ] simplifiying candidate # 290.729 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 290.730 * * [simplify]: iters left: 6 (47 enodes) 290.756 * * [simplify]: iters left: 5 (246 enodes) 290.833 * * [simplify]: Extracting #0: cost 1 inf + 0 290.833 * * [simplify]: Extracting #1: cost 3 inf + 0 290.833 * * [simplify]: Extracting #2: cost 6 inf + 0 290.833 * * [simplify]: Extracting #3: cost 10 inf + 0 290.833 * * [simplify]: Extracting #4: cost 24 inf + 0 290.833 * * [simplify]: Extracting #5: cost 147 inf + 0 290.834 * * [simplify]: Extracting #6: cost 287 inf + 86 290.835 * * [simplify]: Extracting #7: cost 308 inf + 2622 290.840 * * [simplify]: Extracting #8: cost 175 inf + 31140 290.860 * * [simplify]: Extracting #9: cost 44 inf + 81155 290.897 * * [simplify]: Extracting #10: cost 5 inf + 98732 290.918 * * [simplify]: Extracting #11: cost 1 inf + 101113 290.949 * * [simplify]: Extracting #12: cost 0 inf + 102818 290.987 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 290.987 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 290.988 * * * * [progress]: [ 735 / 4754 ] simplifiying candidate # 290.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 290.989 * * [simplify]: iters left: 6 (40 enodes) 291.011 * * [simplify]: iters left: 5 (208 enodes) 291.075 * * [simplify]: Extracting #0: cost 1 inf + 0 291.075 * * [simplify]: Extracting #1: cost 3 inf + 0 291.075 * * [simplify]: Extracting #2: cost 6 inf + 0 291.075 * * [simplify]: Extracting #3: cost 10 inf + 0 291.075 * * [simplify]: Extracting #4: cost 24 inf + 0 291.075 * * [simplify]: Extracting #5: cost 126 inf + 0 291.076 * * [simplify]: Extracting #6: cost 242 inf + 86 291.077 * * [simplify]: Extracting #7: cost 259 inf + 2292 291.080 * * [simplify]: Extracting #8: cost 153 inf + 24049 291.087 * * [simplify]: Extracting #9: cost 93 inf + 40787 291.103 * * [simplify]: Extracting #10: cost 17 inf + 71353 291.132 * * [simplify]: Extracting #11: cost 5 inf + 76747 291.162 * * [simplify]: Extracting #12: cost 1 inf + 81527 291.196 * * [simplify]: Extracting #13: cost 0 inf + 82912 291.227 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 291.227 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 291.228 * * * * [progress]: [ 736 / 4754 ] simplifiying candidate # 291.228 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 291.229 * * [simplify]: iters left: 6 (46 enodes) 291.245 * * [simplify]: iters left: 5 (232 enodes) 291.329 * * [simplify]: Extracting #0: cost 1 inf + 0 291.329 * * [simplify]: Extracting #1: cost 3 inf + 0 291.329 * * [simplify]: Extracting #2: cost 6 inf + 0 291.329 * * [simplify]: Extracting #3: cost 10 inf + 0 291.329 * * [simplify]: Extracting #4: cost 20 inf + 0 291.329 * * [simplify]: Extracting #5: cost 122 inf + 0 291.330 * * [simplify]: Extracting #6: cost 260 inf + 86 291.333 * * [simplify]: Extracting #7: cost 301 inf + 2451 291.339 * * [simplify]: Extracting #8: cost 225 inf + 15250 291.353 * * [simplify]: Extracting #9: cost 123 inf + 46030 291.382 * * [simplify]: Extracting #10: cost 24 inf + 94640 291.421 * * [simplify]: Extracting #11: cost 0 inf + 110533 291.455 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 291.455 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 291.455 * * * * [progress]: [ 737 / 4754 ] simplifiying candidate # 291.456 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 291.456 * * [simplify]: iters left: 6 (46 enodes) 291.468 * * [simplify]: iters left: 5 (234 enodes) 291.558 * * [simplify]: Extracting #0: cost 1 inf + 0 291.558 * * [simplify]: Extracting #1: cost 3 inf + 0 291.558 * * [simplify]: Extracting #2: cost 6 inf + 0 291.558 * * [simplify]: Extracting #3: cost 10 inf + 0 291.558 * * [simplify]: Extracting #4: cost 20 inf + 0 291.559 * * [simplify]: Extracting #5: cost 123 inf + 0 291.564 * * [simplify]: Extracting #6: cost 270 inf + 86 291.566 * * [simplify]: Extracting #7: cost 309 inf + 2211 291.572 * * [simplify]: Extracting #8: cost 229 inf + 15788 291.580 * * [simplify]: Extracting #9: cost 126 inf + 48180 291.597 * * [simplify]: Extracting #10: cost 14 inf + 102121 291.617 * * [simplify]: Extracting #11: cost 0 inf + 110748 291.646 * * [simplify]: Extracting #12: cost 0 inf + 110388 291.688 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 291.688 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 291.689 * * * * [progress]: [ 738 / 4754 ] simplifiying candidate # 291.689 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 291.690 * * [simplify]: iters left: 6 (46 enodes) 291.715 * * [simplify]: iters left: 5 (234 enodes) 291.827 * * [simplify]: Extracting #0: cost 1 inf + 0 291.828 * * [simplify]: Extracting #1: cost 3 inf + 0 291.828 * * [simplify]: Extracting #2: cost 6 inf + 0 291.828 * * [simplify]: Extracting #3: cost 10 inf + 0 291.828 * * [simplify]: Extracting #4: cost 20 inf + 0 291.828 * * [simplify]: Extracting #5: cost 126 inf + 0 291.829 * * [simplify]: Extracting #6: cost 268 inf + 86 291.831 * * [simplify]: Extracting #7: cost 305 inf + 1684 291.837 * * [simplify]: Extracting #8: cost 218 inf + 16346 291.852 * * [simplify]: Extracting #9: cost 122 inf + 48709 291.885 * * [simplify]: Extracting #10: cost 14 inf + 99484 291.923 * * [simplify]: Extracting #11: cost 0 inf + 108728 291.949 * * [simplify]: Extracting #12: cost 0 inf + 108408 291.976 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))))))) 291.976 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 291.977 * * * * [progress]: [ 739 / 4754 ] simplifiying candidate # 291.978 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 291.978 * * [simplify]: iters left: 6 (40 enodes) 292.000 * * [simplify]: iters left: 5 (198 enodes) 292.063 * * [simplify]: Extracting #0: cost 1 inf + 0 292.063 * * [simplify]: Extracting #1: cost 3 inf + 0 292.064 * * [simplify]: Extracting #2: cost 6 inf + 0 292.064 * * [simplify]: Extracting #3: cost 10 inf + 0 292.064 * * [simplify]: Extracting #4: cost 20 inf + 0 292.064 * * [simplify]: Extracting #5: cost 117 inf + 0 292.064 * * [simplify]: Extracting #6: cost 231 inf + 86 292.065 * * [simplify]: Extracting #7: cost 254 inf + 1722 292.071 * * [simplify]: Extracting #8: cost 159 inf + 21963 292.083 * * [simplify]: Extracting #9: cost 29 inf + 72987 292.101 * * [simplify]: Extracting #10: cost 9 inf + 84098 292.119 * * [simplify]: Extracting #11: cost 0 inf + 88307 292.143 * * [simplify]: Extracting #12: cost 0 inf + 88067 292.177 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 292.177 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 292.179 * * * * [progress]: [ 740 / 4754 ] simplifiying candidate # 292.179 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 292.180 * * [simplify]: iters left: 6 (45 enodes) 292.207 * * [simplify]: iters left: 5 (228 enodes) 292.296 * * [simplify]: Extracting #0: cost 1 inf + 0 292.296 * * [simplify]: Extracting #1: cost 3 inf + 0 292.297 * * [simplify]: Extracting #2: cost 6 inf + 0 292.297 * * [simplify]: Extracting #3: cost 10 inf + 0 292.297 * * [simplify]: Extracting #4: cost 24 inf + 0 292.297 * * [simplify]: Extracting #5: cost 142 inf + 0 292.297 * * [simplify]: Extracting #6: cost 263 inf + 86 292.299 * * [simplify]: Extracting #7: cost 288 inf + 1684 292.302 * * [simplify]: Extracting #8: cost 201 inf + 20714 292.318 * * [simplify]: Extracting #9: cost 55 inf + 75971 292.343 * * [simplify]: Extracting #10: cost 6 inf + 98158 292.363 * * [simplify]: Extracting #11: cost 0 inf + 103389 292.400 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 292.400 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 292.401 * * * * [progress]: [ 741 / 4754 ] simplifiying candidate # 292.402 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 292.402 * * [simplify]: iters left: 6 (39 enodes) 292.420 * * [simplify]: iters left: 5 (191 enodes) 292.477 * * [simplify]: Extracting #0: cost 1 inf + 0 292.477 * * [simplify]: Extracting #1: cost 3 inf + 0 292.477 * * [simplify]: Extracting #2: cost 6 inf + 0 292.477 * * [simplify]: Extracting #3: cost 10 inf + 0 292.477 * * [simplify]: Extracting #4: cost 24 inf + 0 292.477 * * [simplify]: Extracting #5: cost 118 inf + 0 292.478 * * [simplify]: Extracting #6: cost 210 inf + 86 292.480 * * [simplify]: Extracting #7: cost 227 inf + 2648 292.486 * * [simplify]: Extracting #8: cost 130 inf + 23854 292.492 * * [simplify]: Extracting #9: cost 86 inf + 36865 292.504 * * [simplify]: Extracting #10: cost 11 inf + 67586 292.521 * * [simplify]: Extracting #11: cost 4 inf + 72961 292.554 * * [simplify]: Extracting #12: cost 0 inf + 77901 292.571 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 292.571 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 292.571 * * * * [progress]: [ 742 / 4754 ] simplifiying candidate # 292.572 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 292.572 * * [simplify]: iters left: 6 (45 enodes) 292.583 * * [simplify]: iters left: 5 (228 enodes) 292.652 * * [simplify]: Extracting #0: cost 1 inf + 0 292.652 * * [simplify]: Extracting #1: cost 3 inf + 0 292.652 * * [simplify]: Extracting #2: cost 6 inf + 0 292.652 * * [simplify]: Extracting #3: cost 10 inf + 0 292.652 * * [simplify]: Extracting #4: cost 24 inf + 0 292.652 * * [simplify]: Extracting #5: cost 142 inf + 0 292.653 * * [simplify]: Extracting #6: cost 264 inf + 44 292.654 * * [simplify]: Extracting #7: cost 293 inf + 1154 292.657 * * [simplify]: Extracting #8: cost 202 inf + 20552 292.679 * * [simplify]: Extracting #9: cost 60 inf + 74151 292.714 * * [simplify]: Extracting #10: cost 6 inf + 98798 292.746 * * [simplify]: Extracting #11: cost 0 inf + 104029 292.767 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) 292.767 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 292.768 * * * * [progress]: [ 743 / 4754 ] simplifiying candidate # 292.768 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 292.768 * * [simplify]: iters left: 6 (38 enodes) 292.788 * * [simplify]: iters left: 5 (188 enodes) 292.864 * * [simplify]: Extracting #0: cost 1 inf + 0 292.864 * * [simplify]: Extracting #1: cost 3 inf + 0 292.864 * * [simplify]: Extracting #2: cost 6 inf + 0 292.864 * * [simplify]: Extracting #3: cost 10 inf + 0 292.864 * * [simplify]: Extracting #4: cost 24 inf + 0 292.865 * * [simplify]: Extracting #5: cost 116 inf + 0 292.865 * * [simplify]: Extracting #6: cost 209 inf + 86 292.866 * * [simplify]: Extracting #7: cost 224 inf + 2370 292.869 * * [simplify]: Extracting #8: cost 145 inf + 20320 292.882 * * [simplify]: Extracting #9: cost 31 inf + 60690 292.896 * * [simplify]: Extracting #10: cost 3 inf + 76088 292.921 * * [simplify]: Extracting #11: cost 0 inf + 77697 292.951 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 292.951 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 292.952 * * * * [progress]: [ 744 / 4754 ] simplifiying candidate # 292.953 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 292.953 * * [simplify]: iters left: 6 (49 enodes) 292.979 * * [simplify]: iters left: 5 (246 enodes) 293.059 * * [simplify]: Extracting #0: cost 1 inf + 0 293.060 * * [simplify]: Extracting #1: cost 3 inf + 0 293.060 * * [simplify]: Extracting #2: cost 6 inf + 0 293.060 * * [simplify]: Extracting #3: cost 10 inf + 0 293.060 * * [simplify]: Extracting #4: cost 20 inf + 0 293.060 * * [simplify]: Extracting #5: cost 121 inf + 0 293.062 * * [simplify]: Extracting #6: cost 270 inf + 44 293.064 * * [simplify]: Extracting #7: cost 319 inf + 1198 293.071 * * [simplify]: Extracting #8: cost 213 inf + 22311 293.093 * * [simplify]: Extracting #9: cost 80 inf + 64231 293.129 * * [simplify]: Extracting #10: cost 16 inf + 91652 293.158 * * [simplify]: Extracting #11: cost 3 inf + 99535 293.179 * * [simplify]: Extracting #12: cost 0 inf + 103810 293.207 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) 293.207 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 293.208 * * * * [progress]: [ 745 / 4754 ] simplifiying candidate # 293.208 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 293.209 * * [simplify]: iters left: 6 (49 enodes) 293.235 * * [simplify]: iters left: 5 (248 enodes) 293.314 * * [simplify]: Extracting #0: cost 1 inf + 0 293.314 * * [simplify]: Extracting #1: cost 3 inf + 0 293.314 * * [simplify]: Extracting #2: cost 6 inf + 0 293.314 * * [simplify]: Extracting #3: cost 10 inf + 0 293.314 * * [simplify]: Extracting #4: cost 20 inf + 0 293.315 * * [simplify]: Extracting #5: cost 122 inf + 0 293.317 * * [simplify]: Extracting #6: cost 281 inf + 86 293.319 * * [simplify]: Extracting #7: cost 321 inf + 2252 293.327 * * [simplify]: Extracting #8: cost 214 inf + 20772 293.343 * * [simplify]: Extracting #9: cost 128 inf + 47707 293.362 * * [simplify]: Extracting #10: cost 26 inf + 87070 293.388 * * [simplify]: Extracting #11: cost 4 inf + 100194 293.409 * * [simplify]: Extracting #12: cost 0 inf + 105054 293.429 * * [simplify]: Extracting #13: cost 0 inf + 104934 293.449 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 293.449 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 293.450 * * * * [progress]: [ 746 / 4754 ] simplifiying candidate # 293.450 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 293.450 * * [simplify]: iters left: 6 (49 enodes) 293.463 * * [simplify]: iters left: 5 (248 enodes) 293.535 * * [simplify]: Extracting #0: cost 1 inf + 0 293.535 * * [simplify]: Extracting #1: cost 3 inf + 0 293.535 * * [simplify]: Extracting #2: cost 6 inf + 0 293.535 * * [simplify]: Extracting #3: cost 10 inf + 0 293.535 * * [simplify]: Extracting #4: cost 20 inf + 0 293.535 * * [simplify]: Extracting #5: cost 125 inf + 0 293.536 * * [simplify]: Extracting #6: cost 281 inf + 44 293.537 * * [simplify]: Extracting #7: cost 314 inf + 2380 293.541 * * [simplify]: Extracting #8: cost 192 inf + 27545 293.555 * * [simplify]: Extracting #9: cost 59 inf + 74220 293.586 * * [simplify]: Extracting #10: cost 6 inf + 98161 293.606 * * [simplify]: Extracting #11: cost 0 inf + 102379 293.626 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))))) 293.626 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 293.627 * * * * [progress]: [ 747 / 4754 ] simplifiying candidate # 293.627 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 293.627 * * [simplify]: iters left: 6 (43 enodes) 293.640 * * [simplify]: iters left: 5 (212 enodes) 293.712 * * [simplify]: Extracting #0: cost 1 inf + 0 293.712 * * [simplify]: Extracting #1: cost 3 inf + 0 293.712 * * [simplify]: Extracting #2: cost 6 inf + 0 293.712 * * [simplify]: Extracting #3: cost 10 inf + 0 293.712 * * [simplify]: Extracting #4: cost 20 inf + 0 293.712 * * [simplify]: Extracting #5: cost 116 inf + 0 293.713 * * [simplify]: Extracting #6: cost 243 inf + 86 293.716 * * [simplify]: Extracting #7: cost 259 inf + 3709 293.724 * * [simplify]: Extracting #8: cost 160 inf + 23036 293.734 * * [simplify]: Extracting #9: cost 106 inf + 37337 293.752 * * [simplify]: Extracting #10: cost 18 inf + 73348 293.770 * * [simplify]: Extracting #11: cost 0 inf + 84238 293.802 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cos (/ (+ phi2 phi1) 2))))))) 293.802 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 293.803 * * * * [progress]: [ 748 / 4754 ] simplifiying candidate # 293.803 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 293.804 * * [simplify]: iters left: 6 (48 enodes) 293.830 * * [simplify]: iters left: 5 (242 enodes) 293.937 * * [simplify]: Extracting #0: cost 1 inf + 0 293.937 * * [simplify]: Extracting #1: cost 3 inf + 0 293.937 * * [simplify]: Extracting #2: cost 6 inf + 0 293.937 * * [simplify]: Extracting #3: cost 10 inf + 0 293.937 * * [simplify]: Extracting #4: cost 24 inf + 0 293.938 * * [simplify]: Extracting #5: cost 141 inf + 0 293.939 * * [simplify]: Extracting #6: cost 274 inf + 44 293.941 * * [simplify]: Extracting #7: cost 297 inf + 1931 293.947 * * [simplify]: Extracting #8: cost 198 inf + 20412 293.969 * * [simplify]: Extracting #9: cost 60 inf + 68716 294.002 * * [simplify]: Extracting #10: cost 5 inf + 93613 294.039 * * [simplify]: Extracting #11: cost 0 inf + 97870 294.057 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 294.057 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 294.058 * * * * [progress]: [ 749 / 4754 ] simplifiying candidate # 294.058 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 294.059 * * [simplify]: iters left: 6 (42 enodes) 294.070 * * [simplify]: iters left: 5 (206 enodes) 294.147 * * [simplify]: Extracting #0: cost 1 inf + 0 294.147 * * [simplify]: Extracting #1: cost 3 inf + 0 294.147 * * [simplify]: Extracting #2: cost 6 inf + 0 294.147 * * [simplify]: Extracting #3: cost 10 inf + 0 294.147 * * [simplify]: Extracting #4: cost 24 inf + 0 294.148 * * [simplify]: Extracting #5: cost 127 inf + 0 294.148 * * [simplify]: Extracting #6: cost 234 inf + 86 294.149 * * [simplify]: Extracting #7: cost 260 inf + 1153 294.153 * * [simplify]: Extracting #8: cost 161 inf + 22138 294.164 * * [simplify]: Extracting #9: cost 23 inf + 67873 294.178 * * [simplify]: Extracting #10: cost 2 inf + 77691 294.194 * * [simplify]: Extracting #11: cost 0 inf + 79048 294.210 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 294.210 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 294.210 * * * * [progress]: [ 750 / 4754 ] simplifiying candidate # 294.211 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 294.211 * * [simplify]: iters left: 6 (48 enodes) 294.227 * * [simplify]: iters left: 5 (242 enodes) 294.309 * * [simplify]: Extracting #0: cost 1 inf + 0 294.309 * * [simplify]: Extracting #1: cost 3 inf + 0 294.309 * * [simplify]: Extracting #2: cost 6 inf + 0 294.309 * * [simplify]: Extracting #3: cost 10 inf + 0 294.309 * * [simplify]: Extracting #4: cost 24 inf + 0 294.309 * * [simplify]: Extracting #5: cost 141 inf + 0 294.310 * * [simplify]: Extracting #6: cost 274 inf + 44 294.311 * * [simplify]: Extracting #7: cost 299 inf + 1685 294.314 * * [simplify]: Extracting #8: cost 203 inf + 19594 294.329 * * [simplify]: Extracting #9: cost 62 inf + 68668 294.346 * * [simplify]: Extracting #10: cost 5 inf + 94253 294.374 * * [simplify]: Extracting #11: cost 0 inf + 98510 294.409 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 294.409 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 294.410 * * * * [progress]: [ 751 / 4754 ] simplifiying candidate # 294.411 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 294.411 * * [simplify]: iters left: 6 (41 enodes) 294.433 * * [simplify]: iters left: 5 (204 enodes) 294.497 * * [simplify]: Extracting #0: cost 1 inf + 0 294.497 * * [simplify]: Extracting #1: cost 3 inf + 0 294.497 * * [simplify]: Extracting #2: cost 6 inf + 0 294.497 * * [simplify]: Extracting #3: cost 10 inf + 0 294.497 * * [simplify]: Extracting #4: cost 24 inf + 0 294.498 * * [simplify]: Extracting #5: cost 125 inf + 0 294.499 * * [simplify]: Extracting #6: cost 233 inf + 86 294.501 * * [simplify]: Extracting #7: cost 255 inf + 1681 294.508 * * [simplify]: Extracting #8: cost 151 inf + 23871 294.529 * * [simplify]: Extracting #9: cost 29 inf + 65238 294.545 * * [simplify]: Extracting #10: cost 3 inf + 78866 294.565 * * [simplify]: Extracting #11: cost 0 inf + 79804 294.593 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 294.593 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 294.594 * * * * [progress]: [ 752 / 4754 ] simplifiying candidate # 294.595 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 294.595 * * [simplify]: iters left: 6 (46 enodes) 294.609 * * [simplify]: iters left: 5 (233 enodes) 294.692 * * [simplify]: Extracting #0: cost 1 inf + 0 294.692 * * [simplify]: Extracting #1: cost 3 inf + 0 294.693 * * [simplify]: Extracting #2: cost 6 inf + 0 294.693 * * [simplify]: Extracting #3: cost 10 inf + 0 294.693 * * [simplify]: Extracting #4: cost 20 inf + 0 294.693 * * [simplify]: Extracting #5: cost 122 inf + 0 294.693 * * [simplify]: Extracting #6: cost 256 inf + 86 294.695 * * [simplify]: Extracting #7: cost 310 inf + 1554 294.698 * * [simplify]: Extracting #8: cost 221 inf + 24836 294.708 * * [simplify]: Extracting #9: cost 74 inf + 75365 294.732 * * [simplify]: Extracting #10: cost 9 inf + 103804 294.760 * * [simplify]: Extracting #11: cost 0 inf + 109413 294.783 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 294.783 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 294.784 * * * * [progress]: [ 753 / 4754 ] simplifiying candidate # 294.784 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 294.785 * * [simplify]: iters left: 6 (46 enodes) 294.801 * * [simplify]: iters left: 5 (235 enodes) 294.871 * * [simplify]: Extracting #0: cost 1 inf + 0 294.871 * * [simplify]: Extracting #1: cost 3 inf + 0 294.871 * * [simplify]: Extracting #2: cost 6 inf + 0 294.871 * * [simplify]: Extracting #3: cost 10 inf + 0 294.871 * * [simplify]: Extracting #4: cost 20 inf + 0 294.871 * * [simplify]: Extracting #5: cost 123 inf + 0 294.872 * * [simplify]: Extracting #6: cost 267 inf + 86 294.873 * * [simplify]: Extracting #7: cost 322 inf + 1151 294.876 * * [simplify]: Extracting #8: cost 247 inf + 15564 294.889 * * [simplify]: Extracting #9: cost 124 inf + 48468 294.921 * * [simplify]: Extracting #10: cost 21 inf + 97954 294.961 * * [simplify]: Extracting #11: cost 0 inf + 111133 295.003 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))))) 295.003 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 295.004 * * * * [progress]: [ 754 / 4754 ] simplifiying candidate # 295.005 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 295.005 * * [simplify]: iters left: 6 (46 enodes) 295.035 * * [simplify]: iters left: 5 (235 enodes) 295.142 * * [simplify]: Extracting #0: cost 1 inf + 0 295.142 * * [simplify]: Extracting #1: cost 3 inf + 0 295.142 * * [simplify]: Extracting #2: cost 6 inf + 0 295.142 * * [simplify]: Extracting #3: cost 10 inf + 0 295.142 * * [simplify]: Extracting #4: cost 20 inf + 0 295.142 * * [simplify]: Extracting #5: cost 126 inf + 0 295.144 * * [simplify]: Extracting #6: cost 266 inf + 44 295.146 * * [simplify]: Extracting #7: cost 314 inf + 1270 295.156 * * [simplify]: Extracting #8: cost 218 inf + 27858 295.177 * * [simplify]: Extracting #9: cost 72 inf + 74766 295.198 * * [simplify]: Extracting #10: cost 8 inf + 99576 295.219 * * [simplify]: Extracting #11: cost 0 inf + 106873 295.257 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 295.258 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 295.259 * * * * [progress]: [ 755 / 4754 ] simplifiying candidate # 295.259 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 295.260 * * [simplify]: iters left: 6 (40 enodes) 295.280 * * [simplify]: iters left: 5 (199 enodes) 295.356 * * [simplify]: Extracting #0: cost 1 inf + 0 295.356 * * [simplify]: Extracting #1: cost 3 inf + 0 295.356 * * [simplify]: Extracting #2: cost 6 inf + 0 295.356 * * [simplify]: Extracting #3: cost 10 inf + 0 295.357 * * [simplify]: Extracting #4: cost 20 inf + 0 295.357 * * [simplify]: Extracting #5: cost 117 inf + 0 295.357 * * [simplify]: Extracting #6: cost 228 inf + 86 295.358 * * [simplify]: Extracting #7: cost 265 inf + 865 295.361 * * [simplify]: Extracting #8: cost 187 inf + 24619 295.369 * * [simplify]: Extracting #9: cost 86 inf + 62710 295.388 * * [simplify]: Extracting #10: cost 14 inf + 79096 295.420 * * [simplify]: Extracting #11: cost 4 inf + 82312 295.448 * * [simplify]: Extracting #12: cost 1 inf + 85787 295.465 * * [simplify]: Extracting #13: cost 0 inf + 87172 295.482 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))))))) 295.482 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 295.483 * * * * [progress]: [ 756 / 4754 ] simplifiying candidate # 295.483 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 295.484 * * [simplify]: iters left: 6 (45 enodes) 295.501 * * [simplify]: iters left: 5 (229 enodes) 295.558 * * [simplify]: Extracting #0: cost 1 inf + 0 295.558 * * [simplify]: Extracting #1: cost 3 inf + 0 295.558 * * [simplify]: Extracting #2: cost 6 inf + 0 295.558 * * [simplify]: Extracting #3: cost 10 inf + 0 295.558 * * [simplify]: Extracting #4: cost 24 inf + 0 295.558 * * [simplify]: Extracting #5: cost 142 inf + 0 295.559 * * [simplify]: Extracting #6: cost 260 inf + 44 295.560 * * [simplify]: Extracting #7: cost 299 inf + 865 295.562 * * [simplify]: Extracting #8: cost 235 inf + 18887 295.571 * * [simplify]: Extracting #9: cost 93 inf + 76916 295.592 * * [simplify]: Extracting #10: cost 16 inf + 89255 295.614 * * [simplify]: Extracting #11: cost 2 inf + 99939 295.633 * * [simplify]: Extracting #12: cost 0 inf + 102749 295.653 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 295.653 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 295.654 * * * * [progress]: [ 757 / 4754 ] simplifiying candidate # 295.655 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 295.655 * * [simplify]: iters left: 6 (39 enodes) 295.669 * * [simplify]: iters left: 5 (193 enodes) 295.719 * * [simplify]: Extracting #0: cost 1 inf + 0 295.719 * * [simplify]: Extracting #1: cost 3 inf + 0 295.719 * * [simplify]: Extracting #2: cost 6 inf + 0 295.719 * * [simplify]: Extracting #3: cost 10 inf + 0 295.719 * * [simplify]: Extracting #4: cost 24 inf + 0 295.719 * * [simplify]: Extracting #5: cost 118 inf + 0 295.720 * * [simplify]: Extracting #6: cost 208 inf + 86 295.721 * * [simplify]: Extracting #7: cost 240 inf + 1027 295.722 * * [simplify]: Extracting #8: cost 199 inf + 11209 295.726 * * [simplify]: Extracting #9: cost 127 inf + 27059 295.737 * * [simplify]: Extracting #10: cost 22 inf + 63828 295.762 * * [simplify]: Extracting #11: cost 3 inf + 75320 295.796 * * [simplify]: Extracting #12: cost 1 inf + 78050 295.826 * * [simplify]: Extracting #13: cost 0 inf + 79435 295.850 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (+ phi2 phi1) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 295.850 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (+ phi2 phi1) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 295.851 * * * * [progress]: [ 758 / 4754 ] simplifiying candidate # 295.851 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 295.852 * * [simplify]: iters left: 6 (45 enodes) 295.864 * * [simplify]: iters left: 5 (229 enodes) 295.957 * * [simplify]: Extracting #0: cost 1 inf + 0 295.957 * * [simplify]: Extracting #1: cost 3 inf + 0 295.957 * * [simplify]: Extracting #2: cost 6 inf + 0 295.957 * * [simplify]: Extracting #3: cost 10 inf + 0 295.957 * * [simplify]: Extracting #4: cost 24 inf + 0 295.958 * * [simplify]: Extracting #5: cost 142 inf + 0 295.959 * * [simplify]: Extracting #6: cost 260 inf + 44 295.961 * * [simplify]: Extracting #7: cost 299 inf + 865 295.965 * * [simplify]: Extracting #8: cost 235 inf + 18887 295.983 * * [simplify]: Extracting #9: cost 95 inf + 76669 296.003 * * [simplify]: Extracting #10: cost 16 inf + 89895 296.023 * * [simplify]: Extracting #11: cost 2 inf + 100579 296.065 * * [simplify]: Extracting #12: cost 0 inf + 103389 296.102 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 296.102 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 296.103 * * * * [progress]: [ 759 / 4754 ] simplifiying candidate # 296.104 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 296.104 * * [simplify]: iters left: 6 (38 enodes) 296.122 * * [simplify]: iters left: 5 (190 enodes) 296.182 * * [simplify]: Extracting #0: cost 1 inf + 0 296.182 * * [simplify]: Extracting #1: cost 3 inf + 0 296.182 * * [simplify]: Extracting #2: cost 6 inf + 0 296.182 * * [simplify]: Extracting #3: cost 10 inf + 0 296.182 * * [simplify]: Extracting #4: cost 24 inf + 0 296.183 * * [simplify]: Extracting #5: cost 116 inf + 0 296.184 * * [simplify]: Extracting #6: cost 207 inf + 86 296.186 * * [simplify]: Extracting #7: cost 240 inf + 945 296.189 * * [simplify]: Extracting #8: cost 196 inf + 10913 296.200 * * [simplify]: Extracting #9: cost 91 inf + 39686 296.215 * * [simplify]: Extracting #10: cost 16 inf + 67073 296.232 * * [simplify]: Extracting #11: cost 1 inf + 78086 296.257 * * [simplify]: Extracting #12: cost 0 inf + 79551 296.273 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 296.274 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 296.274 * * * * [progress]: [ 760 / 4754 ] simplifiying candidate # 296.274 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 296.275 * * [simplify]: iters left: 6 (49 enodes) 296.294 * * [simplify]: iters left: 5 (246 enodes) 296.363 * * [simplify]: Extracting #0: cost 1 inf + 0 296.363 * * [simplify]: Extracting #1: cost 3 inf + 0 296.363 * * [simplify]: Extracting #2: cost 6 inf + 0 296.363 * * [simplify]: Extracting #3: cost 10 inf + 0 296.363 * * [simplify]: Extracting #4: cost 20 inf + 0 296.363 * * [simplify]: Extracting #5: cost 121 inf + 0 296.364 * * [simplify]: Extracting #6: cost 274 inf + 44 296.365 * * [simplify]: Extracting #7: cost 317 inf + 1522 296.375 * * [simplify]: Extracting #8: cost 210 inf + 23362 296.398 * * [simplify]: Extracting #9: cost 80 inf + 64391 296.416 * * [simplify]: Extracting #10: cost 12 inf + 93231 296.439 * * [simplify]: Extracting #11: cost 3 inf + 100175 296.479 * * [simplify]: Extracting #12: cost 0 inf + 104570 296.519 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) 296.519 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 296.520 * * * * [progress]: [ 761 / 4754 ] simplifiying candidate # 296.520 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 296.521 * * [simplify]: iters left: 6 (49 enodes) 296.548 * * [simplify]: iters left: 5 (248 enodes) 296.615 * * [simplify]: Extracting #0: cost 1 inf + 0 296.615 * * [simplify]: Extracting #1: cost 3 inf + 0 296.615 * * [simplify]: Extracting #2: cost 6 inf + 0 296.615 * * [simplify]: Extracting #3: cost 10 inf + 0 296.615 * * [simplify]: Extracting #4: cost 20 inf + 0 296.615 * * [simplify]: Extracting #5: cost 122 inf + 0 296.616 * * [simplify]: Extracting #6: cost 286 inf + 44 296.617 * * [simplify]: Extracting #7: cost 324 inf + 1926 296.621 * * [simplify]: Extracting #8: cost 216 inf + 20649 296.637 * * [simplify]: Extracting #9: cost 132 inf + 46290 296.653 * * [simplify]: Extracting #10: cost 26 inf + 88096 296.675 * * [simplify]: Extracting #11: cost 4 inf + 100554 296.699 * * [simplify]: Extracting #12: cost 0 inf + 105294 296.727 * * [simplify]: Extracting #13: cost 0 inf + 105094 296.758 * * [simplify]: Extracting #14: cost 0 inf + 105014 296.777 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 296.777 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 296.778 * * * * [progress]: [ 762 / 4754 ] simplifiying candidate # 296.779 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 296.779 * * [simplify]: iters left: 6 (49 enodes) 296.806 * * [simplify]: iters left: 5 (248 enodes) 296.878 * * [simplify]: Extracting #0: cost 1 inf + 0 296.878 * * [simplify]: Extracting #1: cost 3 inf + 0 296.878 * * [simplify]: Extracting #2: cost 6 inf + 0 296.878 * * [simplify]: Extracting #3: cost 10 inf + 0 296.878 * * [simplify]: Extracting #4: cost 20 inf + 0 296.878 * * [simplify]: Extracting #5: cost 125 inf + 0 296.879 * * [simplify]: Extracting #6: cost 285 inf + 44 296.880 * * [simplify]: Extracting #7: cost 320 inf + 1605 296.888 * * [simplify]: Extracting #8: cost 204 inf + 24715 296.913 * * [simplify]: Extracting #9: cost 57 inf + 74849 296.934 * * [simplify]: Extracting #10: cost 4 inf + 98225 296.967 * * [simplify]: Extracting #11: cost 0 inf + 102179 297.004 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) 297.004 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 297.005 * * * * [progress]: [ 763 / 4754 ] simplifiying candidate # 297.005 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 297.005 * * [simplify]: iters left: 6 (43 enodes) 297.017 * * [simplify]: iters left: 5 (212 enodes) 297.081 * * [simplify]: Extracting #0: cost 1 inf + 0 297.081 * * [simplify]: Extracting #1: cost 3 inf + 0 297.081 * * [simplify]: Extracting #2: cost 6 inf + 0 297.081 * * [simplify]: Extracting #3: cost 10 inf + 0 297.081 * * [simplify]: Extracting #4: cost 20 inf + 0 297.081 * * [simplify]: Extracting #5: cost 116 inf + 0 297.081 * * [simplify]: Extracting #6: cost 247 inf + 86 297.083 * * [simplify]: Extracting #7: cost 256 inf + 4156 297.087 * * [simplify]: Extracting #8: cost 155 inf + 24044 297.093 * * [simplify]: Extracting #9: cost 104 inf + 38205 297.110 * * [simplify]: Extracting #10: cost 18 inf + 75148 297.141 * * [simplify]: Extracting #11: cost 0 inf + 85438 297.175 * * [simplify]: Extracting #12: cost 0 inf + 84878 297.205 * * [simplify]: Extracting #13: cost 0 inf + 84758 297.233 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))) 297.233 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 297.234 * * * * [progress]: [ 764 / 4754 ] simplifiying candidate # 297.234 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 297.234 * * [simplify]: iters left: 6 (48 enodes) 297.248 * * [simplify]: iters left: 5 (242 enodes) 297.331 * * [simplify]: Extracting #0: cost 1 inf + 0 297.331 * * [simplify]: Extracting #1: cost 3 inf + 0 297.332 * * [simplify]: Extracting #2: cost 6 inf + 0 297.332 * * [simplify]: Extracting #3: cost 10 inf + 0 297.332 * * [simplify]: Extracting #4: cost 24 inf + 0 297.332 * * [simplify]: Extracting #5: cost 141 inf + 0 297.333 * * [simplify]: Extracting #6: cost 278 inf + 44 297.334 * * [simplify]: Extracting #7: cost 295 inf + 2214 297.337 * * [simplify]: Extracting #8: cost 200 inf + 20285 297.361 * * [simplify]: Extracting #9: cost 57 inf + 71374 297.394 * * [simplify]: Extracting #10: cost 5 inf + 93893 297.434 * * [simplify]: Extracting #11: cost 0 inf + 97870 297.469 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 297.469 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 297.470 * * * * [progress]: [ 765 / 4754 ] simplifiying candidate # 297.471 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 297.471 * * [simplify]: iters left: 6 (42 enodes) 297.494 * * [simplify]: iters left: 5 (206 enodes) 297.558 * * [simplify]: Extracting #0: cost 1 inf + 0 297.558 * * [simplify]: Extracting #1: cost 3 inf + 0 297.558 * * [simplify]: Extracting #2: cost 6 inf + 0 297.558 * * [simplify]: Extracting #3: cost 10 inf + 0 297.558 * * [simplify]: Extracting #4: cost 24 inf + 0 297.559 * * [simplify]: Extracting #5: cost 127 inf + 0 297.560 * * [simplify]: Extracting #6: cost 238 inf + 86 297.561 * * [simplify]: Extracting #7: cost 260 inf + 1193 297.568 * * [simplify]: Extracting #8: cost 158 inf + 22407 297.585 * * [simplify]: Extracting #9: cost 26 inf + 66722 297.600 * * [simplify]: Extracting #10: cost 2 inf + 79251 297.620 * * [simplify]: Extracting #11: cost 0 inf + 80128 297.640 * * [simplify]: Extracting #12: cost 0 inf + 80008 297.658 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))))) 297.658 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 297.659 * * * * [progress]: [ 766 / 4754 ] simplifiying candidate # 297.659 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 297.660 * * [simplify]: iters left: 6 (48 enodes) 297.680 * * [simplify]: iters left: 5 (242 enodes) 297.762 * * [simplify]: Extracting #0: cost 1 inf + 0 297.762 * * [simplify]: Extracting #1: cost 3 inf + 0 297.762 * * [simplify]: Extracting #2: cost 6 inf + 0 297.762 * * [simplify]: Extracting #3: cost 10 inf + 0 297.762 * * [simplify]: Extracting #4: cost 24 inf + 0 297.763 * * [simplify]: Extracting #5: cost 141 inf + 0 297.768 * * [simplify]: Extracting #6: cost 278 inf + 44 297.770 * * [simplify]: Extracting #7: cost 298 inf + 1847 297.776 * * [simplify]: Extracting #8: cost 205 inf + 19385 297.797 * * [simplify]: Extracting #9: cost 59 inf + 71265 297.831 * * [simplify]: Extracting #10: cost 5 inf + 94533 297.868 * * [simplify]: Extracting #11: cost 0 inf + 98510 297.886 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 297.886 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 297.887 * * * * [progress]: [ 767 / 4754 ] simplifiying candidate # 297.887 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 297.887 * * [simplify]: iters left: 6 (41 enodes) 297.900 * * [simplify]: iters left: 5 (204 enodes) 297.985 * * [simplify]: Extracting #0: cost 1 inf + 0 297.985 * * [simplify]: Extracting #1: cost 3 inf + 0 297.985 * * [simplify]: Extracting #2: cost 6 inf + 0 297.985 * * [simplify]: Extracting #3: cost 10 inf + 0 297.985 * * [simplify]: Extracting #4: cost 24 inf + 0 297.986 * * [simplify]: Extracting #5: cost 125 inf + 0 297.987 * * [simplify]: Extracting #6: cost 239 inf + 2 297.988 * * [simplify]: Extracting #7: cost 258 inf + 1275 297.994 * * [simplify]: Extracting #8: cost 155 inf + 21779 298.015 * * [simplify]: Extracting #9: cost 30 inf + 64436 298.048 * * [simplify]: Extracting #10: cost 3 inf + 78666 298.067 * * [simplify]: Extracting #11: cost 0 inf + 79684 298.082 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 298.082 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 298.083 * * * * [progress]: [ 768 / 4754 ] simplifiying candidate # 298.083 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 298.083 * * [simplify]: iters left: 6 (39 enodes) 298.098 * * [simplify]: iters left: 5 (197 enodes) 298.188 * * [simplify]: Extracting #0: cost 1 inf + 0 298.189 * * [simplify]: Extracting #1: cost 3 inf + 0 298.189 * * [simplify]: Extracting #2: cost 6 inf + 0 298.189 * * [simplify]: Extracting #3: cost 10 inf + 0 298.189 * * [simplify]: Extracting #4: cost 20 inf + 0 298.189 * * [simplify]: Extracting #5: cost 110 inf + 0 298.190 * * [simplify]: Extracting #6: cost 227 inf + 88 298.192 * * [simplify]: Extracting #7: cost 234 inf + 4955 298.199 * * [simplify]: Extracting #8: cost 132 inf + 28773 298.218 * * [simplify]: Extracting #9: cost 23 inf + 63590 298.232 * * [simplify]: Extracting #10: cost 4 inf + 72241 298.249 * * [simplify]: Extracting #11: cost 3 inf + 72422 298.277 * * [simplify]: Extracting #12: cost 0 inf + 76399 298.310 * * [simplify]: Extracting #13: cost 0 inf + 76286 298.339 * * [simplify]: Extracting #14: cost 0 inf + 76046 298.368 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 298.368 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 298.369 * * * * [progress]: [ 769 / 4754 ] simplifiying candidate # 298.370 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 298.370 * * [simplify]: iters left: 6 (39 enodes) 298.386 * * [simplify]: iters left: 5 (195 enodes) 298.441 * * [simplify]: Extracting #0: cost 1 inf + 0 298.441 * * [simplify]: Extracting #1: cost 3 inf + 0 298.441 * * [simplify]: Extracting #2: cost 6 inf + 0 298.441 * * [simplify]: Extracting #3: cost 10 inf + 0 298.441 * * [simplify]: Extracting #4: cost 23 inf + 0 298.442 * * [simplify]: Extracting #5: cost 117 inf + 0 298.443 * * [simplify]: Extracting #6: cost 228 inf + 86 298.445 * * [simplify]: Extracting #7: cost 232 inf + 6463 298.452 * * [simplify]: Extracting #8: cost 131 inf + 28080 298.473 * * [simplify]: Extracting #9: cost 28 inf + 60808 298.500 * * [simplify]: Extracting #10: cost 5 inf + 70141 298.527 * * [simplify]: Extracting #11: cost 1 inf + 72226 298.555 * * [simplify]: Extracting #12: cost 0 inf + 73571 298.586 * * [simplify]: Extracting #13: cost 0 inf + 73531 298.614 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) 298.614 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda1) (* lambda2 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 298.615 * * * * [progress]: [ 770 / 4754 ] simplifiying candidate # 298.615 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 298.616 * * [simplify]: iters left: 6 (45 enodes) 298.640 * * [simplify]: iters left: 5 (235 enodes) 298.753 * * [simplify]: Extracting #0: cost 1 inf + 0 298.753 * * [simplify]: Extracting #1: cost 3 inf + 0 298.753 * * [simplify]: Extracting #2: cost 6 inf + 0 298.753 * * [simplify]: Extracting #3: cost 10 inf + 0 298.753 * * [simplify]: Extracting #4: cost 16 inf + 0 298.754 * * [simplify]: Extracting #5: cost 106 inf + 0 298.754 * * [simplify]: Extracting #6: cost 271 inf + 0 298.755 * * [simplify]: Extracting #7: cost 347 inf + 412 298.758 * * [simplify]: Extracting #8: cost 274 inf + 12241 298.765 * * [simplify]: Extracting #9: cost 161 inf + 43582 298.789 * * [simplify]: Extracting #10: cost 57 inf + 92311 298.826 * * [simplify]: Extracting #11: cost 3 inf + 126797 298.862 * * [simplify]: Extracting #12: cost 0 inf + 130712 298.895 * * [simplify]: Extracting #13: cost 0 inf + 130512 298.929 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 298.929 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 298.930 * * * * [progress]: [ 771 / 4754 ] simplifiying candidate # 298.931 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 298.931 * * [simplify]: iters left: 6 (48 enodes) 298.958 * * [simplify]: iters left: 5 (252 enodes) 299.048 * * [simplify]: Extracting #0: cost 1 inf + 0 299.048 * * [simplify]: Extracting #1: cost 3 inf + 0 299.048 * * [simplify]: Extracting #2: cost 6 inf + 0 299.048 * * [simplify]: Extracting #3: cost 10 inf + 0 299.048 * * [simplify]: Extracting #4: cost 16 inf + 0 299.048 * * [simplify]: Extracting #5: cost 112 inf + 0 299.049 * * [simplify]: Extracting #6: cost 295 inf + 0 299.050 * * [simplify]: Extracting #7: cost 370 inf + 1269 299.055 * * [simplify]: Extracting #8: cost 236 inf + 27714 299.090 * * [simplify]: Extracting #9: cost 73 inf + 93475 299.137 * * [simplify]: Extracting #10: cost 9 inf + 126077 299.184 * * [simplify]: Extracting #11: cost 2 inf + 130000 299.233 * * [simplify]: Extracting #12: cost 0 inf + 133650 299.281 * * [simplify]: Extracting #13: cost 0 inf + 133570 299.328 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 299.328 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 299.330 * * * * [progress]: [ 772 / 4754 ] simplifiying candidate # 299.330 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 299.331 * * [simplify]: iters left: 6 (48 enodes) 299.356 * * [simplify]: iters left: 5 (252 enodes) 299.438 * * [simplify]: Extracting #0: cost 1 inf + 0 299.438 * * [simplify]: Extracting #1: cost 3 inf + 0 299.438 * * [simplify]: Extracting #2: cost 6 inf + 0 299.438 * * [simplify]: Extracting #3: cost 10 inf + 0 299.438 * * [simplify]: Extracting #4: cost 16 inf + 0 299.438 * * [simplify]: Extracting #5: cost 114 inf + 0 299.439 * * [simplify]: Extracting #6: cost 294 inf + 0 299.440 * * [simplify]: Extracting #7: cost 369 inf + 1146 299.447 * * [simplify]: Extracting #8: cost 197 inf + 47504 299.481 * * [simplify]: Extracting #9: cost 33 inf + 114670 299.531 * * [simplify]: Extracting #10: cost 2 inf + 129135 299.577 * * [simplify]: Extracting #11: cost 0 inf + 131305 299.603 * * [simplify]: Extracting #12: cost 0 inf + 131265 299.638 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 299.638 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 299.639 * * * * [progress]: [ 773 / 4754 ] simplifiying candidate # 299.640 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 299.641 * * [simplify]: iters left: 6 (48 enodes) 299.668 * * [simplify]: iters left: 5 (254 enodes) 299.784 * * [simplify]: Extracting #0: cost 1 inf + 0 299.784 * * [simplify]: Extracting #1: cost 3 inf + 0 299.784 * * [simplify]: Extracting #2: cost 6 inf + 0 299.784 * * [simplify]: Extracting #3: cost 10 inf + 0 299.784 * * [simplify]: Extracting #4: cost 16 inf + 0 299.784 * * [simplify]: Extracting #5: cost 114 inf + 0 299.788 * * [simplify]: Extracting #6: cost 292 inf + 0 299.789 * * [simplify]: Extracting #7: cost 358 inf + 785 299.794 * * [simplify]: Extracting #8: cost 214 inf + 34928 299.816 * * [simplify]: Extracting #9: cost 33 inf + 109336 299.851 * * [simplify]: Extracting #10: cost 1 inf + 124413 299.878 * * [simplify]: Extracting #11: cost 0 inf + 124038 299.906 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) 299.906 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 299.907 * * * * [progress]: [ 774 / 4754 ] simplifiying candidate # 299.907 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 299.908 * * [simplify]: iters left: 6 (47 enodes) 299.928 * * [simplify]: iters left: 5 (244 enodes) 300.008 * * [simplify]: Extracting #0: cost 1 inf + 0 300.008 * * [simplify]: Extracting #1: cost 3 inf + 0 300.008 * * [simplify]: Extracting #2: cost 6 inf + 0 300.008 * * [simplify]: Extracting #3: cost 10 inf + 0 300.008 * * [simplify]: Extracting #4: cost 20 inf + 0 300.008 * * [simplify]: Extracting #5: cost 132 inf + 0 300.009 * * [simplify]: Extracting #6: cost 284 inf + 1 300.010 * * [simplify]: Extracting #7: cost 346 inf + 1029 300.013 * * [simplify]: Extracting #8: cost 246 inf + 17915 300.028 * * [simplify]: Extracting #9: cost 124 inf + 68438 300.049 * * [simplify]: Extracting #10: cost 13 inf + 118438 300.082 * * [simplify]: Extracting #11: cost 3 inf + 122676 300.109 * * [simplify]: Extracting #12: cost 1 inf + 125766 300.152 * * [simplify]: Extracting #13: cost 0 inf + 127431 300.190 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 300.191 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 300.191 * * * * [progress]: [ 775 / 4754 ] simplifiying candidate # 300.192 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 300.192 * * [simplify]: iters left: 6 (48 enodes) 300.205 * * [simplify]: iters left: 5 (250 enodes) 300.318 * * [simplify]: Extracting #0: cost 1 inf + 0 300.318 * * [simplify]: Extracting #1: cost 3 inf + 0 300.319 * * [simplify]: Extracting #2: cost 6 inf + 0 300.319 * * [simplify]: Extracting #3: cost 10 inf + 0 300.319 * * [simplify]: Extracting #4: cost 20 inf + 0 300.319 * * [simplify]: Extracting #5: cost 124 inf + 0 300.320 * * [simplify]: Extracting #6: cost 279 inf + 44 300.323 * * [simplify]: Extracting #7: cost 333 inf + 2330 300.333 * * [simplify]: Extracting #8: cost 203 inf + 30318 300.364 * * [simplify]: Extracting #9: cost 75 inf + 81201 300.395 * * [simplify]: Extracting #10: cost 8 inf + 113004 300.421 * * [simplify]: Extracting #11: cost 1 inf + 116245 300.463 * * [simplify]: Extracting #12: cost 0 inf + 117910 300.505 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 300.505 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 300.507 * * * * [progress]: [ 776 / 4754 ] simplifiying candidate # 300.507 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 300.508 * * [simplify]: iters left: 6 (47 enodes) 300.535 * * [simplify]: iters left: 5 (244 enodes) 300.646 * * [simplify]: Extracting #0: cost 1 inf + 0 300.647 * * [simplify]: Extracting #1: cost 3 inf + 0 300.647 * * [simplify]: Extracting #2: cost 6 inf + 0 300.647 * * [simplify]: Extracting #3: cost 10 inf + 0 300.647 * * [simplify]: Extracting #4: cost 20 inf + 0 300.648 * * [simplify]: Extracting #5: cost 132 inf + 0 300.649 * * [simplify]: Extracting #6: cost 284 inf + 1 300.652 * * [simplify]: Extracting #7: cost 346 inf + 1029 300.659 * * [simplify]: Extracting #8: cost 247 inf + 18276 300.679 * * [simplify]: Extracting #9: cost 124 inf + 68318 300.719 * * [simplify]: Extracting #10: cost 13 inf + 118958 300.759 * * [simplify]: Extracting #11: cost 3 inf + 123196 300.784 * * [simplify]: Extracting #12: cost 1 inf + 126326 300.811 * * [simplify]: Extracting #13: cost 0 inf + 127991 300.842 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 300.842 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 300.843 * * * * [progress]: [ 777 / 4754 ] simplifiying candidate # 300.844 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 300.844 * * [simplify]: iters left: 6 (48 enodes) 300.870 * * [simplify]: iters left: 5 (250 enodes) 300.964 * * [simplify]: Extracting #0: cost 1 inf + 0 300.964 * * [simplify]: Extracting #1: cost 3 inf + 0 300.964 * * [simplify]: Extracting #2: cost 6 inf + 0 300.964 * * [simplify]: Extracting #3: cost 10 inf + 0 300.964 * * [simplify]: Extracting #4: cost 20 inf + 0 300.964 * * [simplify]: Extracting #5: cost 123 inf + 0 300.965 * * [simplify]: Extracting #6: cost 279 inf + 44 300.968 * * [simplify]: Extracting #7: cost 340 inf + 1397 300.977 * * [simplify]: Extracting #8: cost 206 inf + 29851 301.000 * * [simplify]: Extracting #9: cost 74 inf + 81986 301.025 * * [simplify]: Extracting #10: cost 8 inf + 113244 301.065 * * [simplify]: Extracting #11: cost 1 inf + 116485 301.107 * * [simplify]: Extracting #12: cost 0 inf + 118150 301.135 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 301.136 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 301.136 * * * * [progress]: [ 778 / 4754 ] simplifiying candidate # 301.137 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 301.137 * * [simplify]: iters left: 6 (39 enodes) 301.149 * * [simplify]: iters left: 5 (189 enodes) 301.202 * * [simplify]: Extracting #0: cost 1 inf + 0 301.202 * * [simplify]: Extracting #1: cost 4 inf + 0 301.202 * * [simplify]: Extracting #2: cost 7 inf + 0 301.202 * * [simplify]: Extracting #3: cost 10 inf + 0 301.202 * * [simplify]: Extracting #4: cost 60 inf + 0 301.202 * * [simplify]: Extracting #5: cost 170 inf + 0 301.203 * * [simplify]: Extracting #6: cost 235 inf + 44 301.205 * * [simplify]: Extracting #7: cost 197 inf + 10682 301.216 * * [simplify]: Extracting #8: cost 58 inf + 50855 301.231 * * [simplify]: Extracting #9: cost 8 inf + 70757 301.247 * * [simplify]: Extracting #10: cost 1 inf + 75773 301.272 * * [simplify]: Extracting #11: cost 0 inf + 76918 301.287 * * [simplify]: Extracting #12: cost 0 inf + 76878 301.300 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 301.300 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 301.301 * * * * [progress]: [ 779 / 4754 ] simplifiying candidate # 301.301 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 301.302 * * [simplify]: iters left: 6 (46 enodes) 301.315 * * [simplify]: iters left: 5 (231 enodes) 301.402 * * [simplify]: Extracting #0: cost 1 inf + 0 301.403 * * [simplify]: Extracting #1: cost 3 inf + 0 301.403 * * [simplify]: Extracting #2: cost 6 inf + 0 301.403 * * [simplify]: Extracting #3: cost 10 inf + 0 301.403 * * [simplify]: Extracting #4: cost 16 inf + 0 301.403 * * [simplify]: Extracting #5: cost 106 inf + 0 301.404 * * [simplify]: Extracting #6: cost 254 inf + 0 301.406 * * [simplify]: Extracting #7: cost 313 inf + 1229 301.413 * * [simplify]: Extracting #8: cost 185 inf + 23703 301.431 * * [simplify]: Extracting #9: cost 104 inf + 54808 301.463 * * [simplify]: Extracting #10: cost 23 inf + 101842 301.488 * * [simplify]: Extracting #11: cost 0 inf + 115351 301.517 * * [simplify]: Extracting #12: cost 0 inf + 115311 301.540 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) 301.540 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 301.541 * * * * [progress]: [ 780 / 4754 ] simplifiying candidate # 301.542 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 301.542 * * [simplify]: iters left: 6 (46 enodes) 301.568 * * [simplify]: iters left: 5 (233 enodes) 301.650 * * [simplify]: Extracting #0: cost 1 inf + 0 301.650 * * [simplify]: Extracting #1: cost 3 inf + 0 301.650 * * [simplify]: Extracting #2: cost 6 inf + 0 301.651 * * [simplify]: Extracting #3: cost 10 inf + 0 301.651 * * [simplify]: Extracting #4: cost 16 inf + 0 301.651 * * [simplify]: Extracting #5: cost 106 inf + 0 301.651 * * [simplify]: Extracting #6: cost 268 inf + 0 301.653 * * [simplify]: Extracting #7: cost 326 inf + 1147 301.656 * * [simplify]: Extracting #8: cost 214 inf + 19662 301.665 * * [simplify]: Extracting #9: cost 128 inf + 50487 301.691 * * [simplify]: Extracting #10: cost 39 inf + 90430 301.714 * * [simplify]: Extracting #11: cost 3 inf + 116037 301.748 * * [simplify]: Extracting #12: cost 0 inf + 120672 301.792 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 301.792 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 301.793 * * * * [progress]: [ 781 / 4754 ] simplifiying candidate # 301.794 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 301.794 * * [simplify]: iters left: 6 (46 enodes) 301.809 * * [simplify]: iters left: 5 (231 enodes) 301.884 * * [simplify]: Extracting #0: cost 1 inf + 0 301.884 * * [simplify]: Extracting #1: cost 3 inf + 0 301.884 * * [simplify]: Extracting #2: cost 6 inf + 0 301.884 * * [simplify]: Extracting #3: cost 10 inf + 0 301.884 * * [simplify]: Extracting #4: cost 16 inf + 0 301.884 * * [simplify]: Extracting #5: cost 104 inf + 0 301.885 * * [simplify]: Extracting #6: cost 252 inf + 0 301.887 * * [simplify]: Extracting #7: cost 301 inf + 1070 301.894 * * [simplify]: Extracting #8: cost 201 inf + 18163 301.910 * * [simplify]: Extracting #9: cost 117 inf + 48924 301.945 * * [simplify]: Extracting #10: cost 14 inf + 100763 301.968 * * [simplify]: Extracting #11: cost 0 inf + 109926 302.007 * * [simplify]: Extracting #12: cost 0 inf + 109606 302.046 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))))) 302.046 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 302.047 * * * * [progress]: [ 782 / 4754 ] simplifiying candidate # 302.048 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 302.048 * * [simplify]: iters left: 6 (45 enodes) 302.064 * * [simplify]: iters left: 5 (224 enodes) 302.124 * * [simplify]: Extracting #0: cost 1 inf + 0 302.124 * * [simplify]: Extracting #1: cost 3 inf + 0 302.124 * * [simplify]: Extracting #2: cost 6 inf + 0 302.124 * * [simplify]: Extracting #3: cost 10 inf + 0 302.124 * * [simplify]: Extracting #4: cost 20 inf + 0 302.125 * * [simplify]: Extracting #5: cost 123 inf + 0 302.125 * * [simplify]: Extracting #6: cost 246 inf + 1 302.126 * * [simplify]: Extracting #7: cost 291 inf + 1472 302.130 * * [simplify]: Extracting #8: cost 186 inf + 21181 302.138 * * [simplify]: Extracting #9: cost 101 inf + 51999 302.169 * * [simplify]: Extracting #10: cost 23 inf + 90821 302.200 * * [simplify]: Extracting #11: cost 2 inf + 107573 302.240 * * [simplify]: Extracting #12: cost 0 inf + 110543 302.280 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 302.280 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 302.282 * * * * [progress]: [ 783 / 4754 ] simplifiying candidate # 302.282 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 302.283 * * [simplify]: iters left: 6 (46 enodes) 302.309 * * [simplify]: iters left: 5 (231 enodes) 302.389 * * [simplify]: Extracting #0: cost 1 inf + 0 302.389 * * [simplify]: Extracting #1: cost 3 inf + 0 302.389 * * [simplify]: Extracting #2: cost 6 inf + 0 302.389 * * [simplify]: Extracting #3: cost 10 inf + 0 302.389 * * [simplify]: Extracting #4: cost 20 inf + 0 302.389 * * [simplify]: Extracting #5: cost 120 inf + 0 302.390 * * [simplify]: Extracting #6: cost 257 inf + 44 302.391 * * [simplify]: Extracting #7: cost 301 inf + 1520 302.396 * * [simplify]: Extracting #8: cost 172 inf + 29418 302.412 * * [simplify]: Extracting #9: cost 49 inf + 80534 302.444 * * [simplify]: Extracting #10: cost 12 inf + 98466 302.463 * * [simplify]: Extracting #11: cost 2 inf + 105411 302.497 * * [simplify]: Extracting #12: cost 0 inf + 108861 302.535 * * [simplify]: Extracting #13: cost 0 inf + 108621 302.575 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 302.575 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 302.577 * * * * [progress]: [ 784 / 4754 ] simplifiying candidate # 302.577 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 302.577 * * [simplify]: iters left: 6 (45 enodes) 302.589 * * [simplify]: iters left: 5 (223 enodes) 302.663 * * [simplify]: Extracting #0: cost 1 inf + 0 302.663 * * [simplify]: Extracting #1: cost 3 inf + 0 302.663 * * [simplify]: Extracting #2: cost 6 inf + 0 302.663 * * [simplify]: Extracting #3: cost 10 inf + 0 302.663 * * [simplify]: Extracting #4: cost 20 inf + 0 302.663 * * [simplify]: Extracting #5: cost 124 inf + 0 302.664 * * [simplify]: Extracting #6: cost 241 inf + 1 302.665 * * [simplify]: Extracting #7: cost 285 inf + 1271 302.670 * * [simplify]: Extracting #8: cost 169 inf + 26584 302.689 * * [simplify]: Extracting #9: cost 101 inf + 53882 302.721 * * [simplify]: Extracting #10: cost 18 inf + 94864 302.744 * * [simplify]: Extracting #11: cost 2 inf + 106477 302.764 * * [simplify]: Extracting #12: cost 0 inf + 109367 302.805 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 302.805 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 302.806 * * * * [progress]: [ 785 / 4754 ] simplifiying candidate # 302.806 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 302.806 * * [simplify]: iters left: 6 (46 enodes) 302.819 * * [simplify]: iters left: 5 (231 enodes) 302.920 * * [simplify]: Extracting #0: cost 1 inf + 0 302.920 * * [simplify]: Extracting #1: cost 3 inf + 0 302.920 * * [simplify]: Extracting #2: cost 6 inf + 0 302.920 * * [simplify]: Extracting #3: cost 10 inf + 0 302.920 * * [simplify]: Extracting #4: cost 20 inf + 0 302.921 * * [simplify]: Extracting #5: cost 119 inf + 0 302.922 * * [simplify]: Extracting #6: cost 257 inf + 44 302.924 * * [simplify]: Extracting #7: cost 292 inf + 2697 302.930 * * [simplify]: Extracting #8: cost 178 inf + 27273 302.943 * * [simplify]: Extracting #9: cost 55 inf + 78007 302.965 * * [simplify]: Extracting #10: cost 11 inf + 99691 302.997 * * [simplify]: Extracting #11: cost 2 inf + 105611 303.020 * * [simplify]: Extracting #12: cost 0 inf + 109021 303.057 * * [simplify]: Extracting #13: cost 0 inf + 108781 303.095 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))))) 303.096 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 303.097 * * * * [progress]: [ 786 / 4754 ] simplifiying candidate # 303.097 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 303.098 * * [simplify]: iters left: 6 (45 enodes) 303.123 * * [simplify]: iters left: 5 (225 enodes) 303.185 * * [simplify]: Extracting #0: cost 1 inf + 0 303.186 * * [simplify]: Extracting #1: cost 4 inf + 0 303.186 * * [simplify]: Extracting #2: cost 7 inf + 0 303.186 * * [simplify]: Extracting #3: cost 10 inf + 0 303.186 * * [simplify]: Extracting #4: cost 68 inf + 0 303.186 * * [simplify]: Extracting #5: cost 195 inf + 0 303.187 * * [simplify]: Extracting #6: cost 259 inf + 493 303.189 * * [simplify]: Extracting #7: cost 187 inf + 12654 303.198 * * [simplify]: Extracting #8: cost 72 inf + 53825 303.223 * * [simplify]: Extracting #9: cost 13 inf + 78563 303.239 * * [simplify]: Extracting #10: cost 3 inf + 85359 303.267 * * [simplify]: Extracting #11: cost 0 inf + 89114 303.294 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 303.294 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 303.295 * * * * [progress]: [ 787 / 4754 ] simplifiying candidate # 303.295 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 303.296 * * [simplify]: iters left: 6 (48 enodes) 303.309 * * [simplify]: iters left: 5 (247 enodes) 303.419 * * [simplify]: Extracting #0: cost 1 inf + 0 303.420 * * [simplify]: Extracting #1: cost 3 inf + 0 303.420 * * [simplify]: Extracting #2: cost 6 inf + 0 303.420 * * [simplify]: Extracting #3: cost 10 inf + 0 303.420 * * [simplify]: Extracting #4: cost 16 inf + 0 303.420 * * [simplify]: Extracting #5: cost 126 inf + 0 303.420 * * [simplify]: Extracting #6: cost 280 inf + 0 303.422 * * [simplify]: Extracting #7: cost 345 inf + 945 303.427 * * [simplify]: Extracting #8: cost 197 inf + 30268 303.442 * * [simplify]: Extracting #9: cost 75 inf + 91349 303.476 * * [simplify]: Extracting #10: cost 6 inf + 127938 303.509 * * [simplify]: Extracting #11: cost 1 inf + 133170 303.540 * * [simplify]: Extracting #12: cost 0 inf + 134435 303.565 * * [simplify]: Extracting #13: cost 0 inf + 134275 303.592 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 303.592 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 303.593 * * * * [progress]: [ 788 / 4754 ] simplifiying candidate # 303.593 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 303.593 * * [simplify]: iters left: 6 (48 enodes) 303.606 * * [simplify]: iters left: 5 (247 enodes) 303.693 * * [simplify]: Extracting #0: cost 1 inf + 0 303.693 * * [simplify]: Extracting #1: cost 3 inf + 0 303.694 * * [simplify]: Extracting #2: cost 6 inf + 0 303.694 * * [simplify]: Extracting #3: cost 10 inf + 0 303.694 * * [simplify]: Extracting #4: cost 16 inf + 0 303.695 * * [simplify]: Extracting #5: cost 124 inf + 0 303.696 * * [simplify]: Extracting #6: cost 295 inf + 0 303.699 * * [simplify]: Extracting #7: cost 359 inf + 1066 303.712 * * [simplify]: Extracting #8: cost 193 inf + 45357 303.752 * * [simplify]: Extracting #9: cost 39 inf + 116573 303.799 * * [simplify]: Extracting #10: cost 6 inf + 132622 303.833 * * [simplify]: Extracting #11: cost 1 inf + 133215 303.862 * * [simplify]: Extracting #12: cost 0 inf + 134840 303.907 * * [simplify]: Extracting #13: cost 0 inf + 134720 303.935 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 303.935 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 303.936 * * * * [progress]: [ 789 / 4754 ] simplifiying candidate # 303.937 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 303.937 * * [simplify]: iters left: 6 (48 enodes) 303.967 * * [simplify]: iters left: 5 (245 enodes) 304.043 * * [simplify]: Extracting #0: cost 1 inf + 0 304.043 * * [simplify]: Extracting #1: cost 3 inf + 0 304.043 * * [simplify]: Extracting #2: cost 6 inf + 0 304.043 * * [simplify]: Extracting #3: cost 10 inf + 0 304.043 * * [simplify]: Extracting #4: cost 16 inf + 0 304.043 * * [simplify]: Extracting #5: cost 124 inf + 0 304.044 * * [simplify]: Extracting #6: cost 281 inf + 0 304.045 * * [simplify]: Extracting #7: cost 335 inf + 906 304.049 * * [simplify]: Extracting #8: cost 234 inf + 17842 304.058 * * [simplify]: Extracting #9: cost 130 inf + 52599 304.089 * * [simplify]: Extracting #10: cost 29 inf + 102619 304.117 * * [simplify]: Extracting #11: cost 1 inf + 122079 304.151 * * [simplify]: Extracting #12: cost 0 inf + 123864 304.179 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 304.179 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 304.180 * * * * [progress]: [ 790 / 4754 ] simplifiying candidate # 304.180 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 304.180 * * [simplify]: iters left: 6 (47 enodes) 304.193 * * [simplify]: iters left: 5 (239 enodes) 304.301 * * [simplify]: Extracting #0: cost 1 inf + 0 304.302 * * [simplify]: Extracting #1: cost 3 inf + 0 304.302 * * [simplify]: Extracting #2: cost 6 inf + 0 304.302 * * [simplify]: Extracting #3: cost 10 inf + 0 304.302 * * [simplify]: Extracting #4: cost 20 inf + 0 304.302 * * [simplify]: Extracting #5: cost 156 inf + 0 304.303 * * [simplify]: Extracting #6: cost 282 inf + 1 304.304 * * [simplify]: Extracting #7: cost 336 inf + 744 304.308 * * [simplify]: Extracting #8: cost 205 inf + 30240 304.339 * * [simplify]: Extracting #9: cost 48 inf + 104907 304.380 * * [simplify]: Extracting #10: cost 3 inf + 130279 304.407 * * [simplify]: Extracting #11: cost 1 inf + 131687 304.440 * * [simplify]: Extracting #12: cost 0 inf + 133392 304.465 * * [simplify]: Extracting #13: cost 0 inf + 133272 304.503 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 304.503 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 304.505 * * * * [progress]: [ 791 / 4754 ] simplifiying candidate # 304.505 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 304.506 * * [simplify]: iters left: 6 (48 enodes) 304.519 * * [simplify]: iters left: 5 (245 enodes) 304.627 * * [simplify]: Extracting #0: cost 1 inf + 0 304.627 * * [simplify]: Extracting #1: cost 3 inf + 0 304.627 * * [simplify]: Extracting #2: cost 6 inf + 0 304.628 * * [simplify]: Extracting #3: cost 10 inf + 0 304.628 * * [simplify]: Extracting #4: cost 20 inf + 0 304.628 * * [simplify]: Extracting #5: cost 142 inf + 0 304.630 * * [simplify]: Extracting #6: cost 287 inf + 44 304.633 * * [simplify]: Extracting #7: cost 334 inf + 1884 304.637 * * [simplify]: Extracting #8: cost 229 inf + 21079 304.648 * * [simplify]: Extracting #9: cost 100 inf + 66606 304.669 * * [simplify]: Extracting #10: cost 12 inf + 110520 304.694 * * [simplify]: Extracting #11: cost 5 inf + 113855 304.726 * * [simplify]: Extracting #12: cost 1 inf + 119795 304.767 * * [simplify]: Extracting #13: cost 0 inf + 121500 304.789 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 304.789 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 304.790 * * * * [progress]: [ 792 / 4754 ] simplifiying candidate # 304.790 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 304.790 * * [simplify]: iters left: 6 (47 enodes) 304.809 * * [simplify]: iters left: 5 (239 enodes) 304.899 * * [simplify]: Extracting #0: cost 1 inf + 0 304.899 * * [simplify]: Extracting #1: cost 3 inf + 0 304.899 * * [simplify]: Extracting #2: cost 6 inf + 0 304.899 * * [simplify]: Extracting #3: cost 10 inf + 0 304.899 * * [simplify]: Extracting #4: cost 20 inf + 0 304.900 * * [simplify]: Extracting #5: cost 155 inf + 0 304.901 * * [simplify]: Extracting #6: cost 275 inf + 1 304.904 * * [simplify]: Extracting #7: cost 327 inf + 1149 304.914 * * [simplify]: Extracting #8: cost 202 inf + 29285 304.946 * * [simplify]: Extracting #9: cost 52 inf + 95239 304.984 * * [simplify]: Extracting #10: cost 5 inf + 123580 305.006 * * [simplify]: Extracting #11: cost 1 inf + 125623 305.047 * * [simplify]: Extracting #12: cost 0 inf + 127328 305.093 * * [simplify]: Extracting #13: cost 0 inf + 127288 305.139 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 305.139 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 305.141 * * * * [progress]: [ 793 / 4754 ] simplifiying candidate # 305.141 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 305.142 * * [simplify]: iters left: 6 (48 enodes) 305.167 * * [simplify]: iters left: 5 (245 enodes) 305.268 * * [simplify]: Extracting #0: cost 1 inf + 0 305.268 * * [simplify]: Extracting #1: cost 3 inf + 0 305.268 * * [simplify]: Extracting #2: cost 6 inf + 0 305.268 * * [simplify]: Extracting #3: cost 10 inf + 0 305.268 * * [simplify]: Extracting #4: cost 20 inf + 0 305.268 * * [simplify]: Extracting #5: cost 141 inf + 0 305.269 * * [simplify]: Extracting #6: cost 287 inf + 44 305.270 * * [simplify]: Extracting #7: cost 332 inf + 2006 305.274 * * [simplify]: Extracting #8: cost 227 inf + 21124 305.288 * * [simplify]: Extracting #9: cost 101 inf + 66541 305.310 * * [simplify]: Extracting #10: cost 11 inf + 112065 305.341 * * [simplify]: Extracting #11: cost 5 inf + 114495 305.382 * * [simplify]: Extracting #12: cost 1 inf + 120435 305.405 * * [simplify]: Extracting #13: cost 0 inf + 122140 305.434 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 305.434 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 305.435 * * * * [progress]: [ 794 / 4754 ] simplifiying candidate # 305.436 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 305.436 * * [simplify]: iters left: 6 (45 enodes) 305.450 * * [simplify]: iters left: 5 (232 enodes) 305.512 * * [simplify]: Extracting #0: cost 1 inf + 0 305.512 * * [simplify]: Extracting #1: cost 3 inf + 0 305.512 * * [simplify]: Extracting #2: cost 6 inf + 0 305.512 * * [simplify]: Extracting #3: cost 10 inf + 0 305.512 * * [simplify]: Extracting #4: cost 16 inf + 0 305.512 * * [simplify]: Extracting #5: cost 107 inf + 0 305.513 * * [simplify]: Extracting #6: cost 265 inf + 0 305.514 * * [simplify]: Extracting #7: cost 323 inf + 575 305.516 * * [simplify]: Extracting #8: cost 265 inf + 8856 305.522 * * [simplify]: Extracting #9: cost 157 inf + 35328 305.539 * * [simplify]: Extracting #10: cost 46 inf + 82672 305.567 * * [simplify]: Extracting #11: cost 2 inf + 111822 305.601 * * [simplify]: Extracting #12: cost 0 inf + 115032 305.623 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 305.623 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 305.624 * * * * [progress]: [ 795 / 4754 ] simplifiying candidate # 305.624 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 305.624 * * [simplify]: iters left: 6 (48 enodes) 305.644 * * [simplify]: iters left: 5 (251 enodes) 305.730 * * [simplify]: Extracting #0: cost 1 inf + 0 305.730 * * [simplify]: Extracting #1: cost 3 inf + 0 305.730 * * [simplify]: Extracting #2: cost 6 inf + 0 305.730 * * [simplify]: Extracting #3: cost 10 inf + 0 305.730 * * [simplify]: Extracting #4: cost 16 inf + 0 305.730 * * [simplify]: Extracting #5: cost 112 inf + 0 305.732 * * [simplify]: Extracting #6: cost 295 inf + 0 305.734 * * [simplify]: Extracting #7: cost 354 inf + 1188 305.749 * * [simplify]: Extracting #8: cost 198 inf + 37484 305.787 * * [simplify]: Extracting #9: cost 39 inf + 102588 305.830 * * [simplify]: Extracting #10: cost 4 inf + 119168 305.859 * * [simplify]: Extracting #11: cost 0 inf + 121800 305.899 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 305.899 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 305.900 * * * * [progress]: [ 796 / 4754 ] simplifiying candidate # 305.901 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 305.901 * * [simplify]: iters left: 6 (48 enodes) 305.928 * * [simplify]: iters left: 5 (251 enodes) 305.998 * * [simplify]: Extracting #0: cost 1 inf + 0 305.998 * * [simplify]: Extracting #1: cost 3 inf + 0 305.998 * * [simplify]: Extracting #2: cost 6 inf + 0 305.998 * * [simplify]: Extracting #3: cost 10 inf + 0 305.998 * * [simplify]: Extracting #4: cost 16 inf + 0 305.998 * * [simplify]: Extracting #5: cost 114 inf + 0 305.999 * * [simplify]: Extracting #6: cost 295 inf + 0 306.000 * * [simplify]: Extracting #7: cost 354 inf + 905 306.006 * * [simplify]: Extracting #8: cost 190 inf + 37475 306.024 * * [simplify]: Extracting #9: cost 39 inf + 101394 306.054 * * [simplify]: Extracting #10: cost 2 inf + 119485 306.084 * * [simplify]: Extracting #11: cost 0 inf + 120160 306.111 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 306.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 306.113 * * * * [progress]: [ 797 / 4754 ] simplifiying candidate # 306.113 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 306.114 * * [simplify]: iters left: 6 (48 enodes) 306.140 * * [simplify]: iters left: 5 (253 enodes) 306.214 * * [simplify]: Extracting #0: cost 1 inf + 0 306.214 * * [simplify]: Extracting #1: cost 3 inf + 0 306.214 * * [simplify]: Extracting #2: cost 6 inf + 0 306.214 * * [simplify]: Extracting #3: cost 10 inf + 0 306.214 * * [simplify]: Extracting #4: cost 16 inf + 0 306.214 * * [simplify]: Extracting #5: cost 114 inf + 0 306.215 * * [simplify]: Extracting #6: cost 293 inf + 0 306.216 * * [simplify]: Extracting #7: cost 339 inf + 1552 306.220 * * [simplify]: Extracting #8: cost 208 inf + 27773 306.233 * * [simplify]: Extracting #9: cost 71 inf + 79901 306.256 * * [simplify]: Extracting #10: cost 6 inf + 106729 306.299 * * [simplify]: Extracting #11: cost 1 inf + 110908 306.334 * * [simplify]: Extracting #12: cost 0 inf + 112573 306.355 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 306.355 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 306.356 * * * * [progress]: [ 798 / 4754 ] simplifiying candidate # 306.356 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 306.357 * * [simplify]: iters left: 6 (47 enodes) 306.378 * * [simplify]: iters left: 5 (243 enodes) 306.460 * * [simplify]: Extracting #0: cost 1 inf + 0 306.460 * * [simplify]: Extracting #1: cost 3 inf + 0 306.460 * * [simplify]: Extracting #2: cost 6 inf + 0 306.460 * * [simplify]: Extracting #3: cost 10 inf + 0 306.460 * * [simplify]: Extracting #4: cost 20 inf + 0 306.460 * * [simplify]: Extracting #5: cost 132 inf + 0 306.462 * * [simplify]: Extracting #6: cost 284 inf + 1 306.463 * * [simplify]: Extracting #7: cost 328 inf + 1314 306.470 * * [simplify]: Extracting #8: cost 216 inf + 21699 306.483 * * [simplify]: Extracting #9: cost 139 inf + 44394 306.509 * * [simplify]: Extracting #10: cost 44 inf + 87071 306.552 * * [simplify]: Extracting #11: cost 4 inf + 110281 306.580 * * [simplify]: Extracting #12: cost 1 inf + 114676 306.611 * * [simplify]: Extracting #13: cost 0 inf + 116141 306.652 * * [simplify]: Extracting #14: cost 0 inf + 116021 306.675 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 306.675 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 306.675 * * * * [progress]: [ 799 / 4754 ] simplifiying candidate # 306.676 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 306.676 * * [simplify]: iters left: 6 (48 enodes) 306.699 * * [simplify]: iters left: 5 (249 enodes) 306.815 * * [simplify]: Extracting #0: cost 1 inf + 0 306.815 * * [simplify]: Extracting #1: cost 3 inf + 0 306.815 * * [simplify]: Extracting #2: cost 6 inf + 0 306.815 * * [simplify]: Extracting #3: cost 10 inf + 0 306.815 * * [simplify]: Extracting #4: cost 20 inf + 0 306.816 * * [simplify]: Extracting #5: cost 124 inf + 0 306.817 * * [simplify]: Extracting #6: cost 280 inf + 44 306.819 * * [simplify]: Extracting #7: cost 320 inf + 2165 306.827 * * [simplify]: Extracting #8: cost 211 inf + 21980 306.836 * * [simplify]: Extracting #9: cost 123 inf + 46989 306.850 * * [simplify]: Extracting #10: cost 30 inf + 88310 306.881 * * [simplify]: Extracting #11: cost 2 inf + 104075 306.923 * * [simplify]: Extracting #12: cost 0 inf + 107325 306.960 * * [simplify]: Extracting #13: cost 0 inf + 107165 306.999 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 306.999 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 307.000 * * * * [progress]: [ 800 / 4754 ] simplifiying candidate # 307.001 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 307.001 * * [simplify]: iters left: 6 (47 enodes) 307.028 * * [simplify]: iters left: 5 (243 enodes) 307.127 * * [simplify]: Extracting #0: cost 1 inf + 0 307.127 * * [simplify]: Extracting #1: cost 3 inf + 0 307.127 * * [simplify]: Extracting #2: cost 6 inf + 0 307.127 * * [simplify]: Extracting #3: cost 10 inf + 0 307.127 * * [simplify]: Extracting #4: cost 20 inf + 0 307.127 * * [simplify]: Extracting #5: cost 132 inf + 0 307.128 * * [simplify]: Extracting #6: cost 284 inf + 1 307.129 * * [simplify]: Extracting #7: cost 328 inf + 1314 307.133 * * [simplify]: Extracting #8: cost 213 inf + 23189 307.146 * * [simplify]: Extracting #9: cost 139 inf + 45034 307.174 * * [simplify]: Extracting #10: cost 44 inf + 87711 307.217 * * [simplify]: Extracting #11: cost 4 inf + 110921 307.241 * * [simplify]: Extracting #12: cost 1 inf + 115316 307.266 * * [simplify]: Extracting #13: cost 0 inf + 116781 307.287 * * [simplify]: Extracting #14: cost 0 inf + 116661 307.329 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 307.329 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 307.330 * * * * [progress]: [ 801 / 4754 ] simplifiying candidate # 307.331 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 307.331 * * [simplify]: iters left: 6 (48 enodes) 307.357 * * [simplify]: iters left: 5 (249 enodes) 307.453 * * [simplify]: Extracting #0: cost 1 inf + 0 307.454 * * [simplify]: Extracting #1: cost 3 inf + 0 307.454 * * [simplify]: Extracting #2: cost 6 inf + 0 307.454 * * [simplify]: Extracting #3: cost 10 inf + 0 307.454 * * [simplify]: Extracting #4: cost 20 inf + 0 307.454 * * [simplify]: Extracting #5: cost 123 inf + 0 307.455 * * [simplify]: Extracting #6: cost 280 inf + 44 307.458 * * [simplify]: Extracting #7: cost 328 inf + 1071 307.466 * * [simplify]: Extracting #8: cost 207 inf + 24188 307.477 * * [simplify]: Extracting #9: cost 123 inf + 48570 307.492 * * [simplify]: Extracting #10: cost 30 inf + 87924 307.520 * * [simplify]: Extracting #11: cost 2 inf + 104315 307.549 * * [simplify]: Extracting #12: cost 0 inf + 107565 307.574 * * [simplify]: Extracting #13: cost 0 inf + 107405 307.613 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 307.613 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 307.614 * * * * [progress]: [ 802 / 4754 ] simplifiying candidate # 307.614 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 307.615 * * [simplify]: iters left: 6 (46 enodes) 307.639 * * [simplify]: iters left: 5 (226 enodes) 307.704 * * [simplify]: Extracting #0: cost 1 inf + 0 307.704 * * [simplify]: Extracting #1: cost 3 inf + 0 307.704 * * [simplify]: Extracting #2: cost 6 inf + 0 307.704 * * [simplify]: Extracting #3: cost 10 inf + 0 307.704 * * [simplify]: Extracting #4: cost 16 inf + 0 307.704 * * [simplify]: Extracting #5: cost 103 inf + 0 307.705 * * [simplify]: Extracting #6: cost 248 inf + 0 307.706 * * [simplify]: Extracting #7: cost 311 inf + 331 307.708 * * [simplify]: Extracting #8: cost 253 inf + 8732 307.713 * * [simplify]: Extracting #9: cost 171 inf + 30584 307.727 * * [simplify]: Extracting #10: cost 54 inf + 83501 307.768 * * [simplify]: Extracting #11: cost 3 inf + 119480 307.803 * * [simplify]: Extracting #12: cost 0 inf + 121995 307.826 * * [simplify]: Extracting #13: cost 0 inf + 121915 307.866 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 307.866 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 307.867 * * * * [progress]: [ 803 / 4754 ] simplifiying candidate # 307.868 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 307.868 * * [simplify]: iters left: 6 (49 enodes) 307.895 * * [simplify]: iters left: 5 (247 enodes) 308.011 * * [simplify]: Extracting #0: cost 1 inf + 0 308.011 * * [simplify]: Extracting #1: cost 3 inf + 0 308.011 * * [simplify]: Extracting #2: cost 6 inf + 0 308.011 * * [simplify]: Extracting #3: cost 10 inf + 0 308.011 * * [simplify]: Extracting #4: cost 16 inf + 0 308.011 * * [simplify]: Extracting #5: cost 114 inf + 0 308.012 * * [simplify]: Extracting #6: cost 289 inf + 0 308.015 * * [simplify]: Extracting #7: cost 346 inf + 1478 308.027 * * [simplify]: Extracting #8: cost 185 inf + 43234 308.055 * * [simplify]: Extracting #9: cost 47 inf + 109850 308.079 * * [simplify]: Extracting #10: cost 4 inf + 129620 308.110 * * [simplify]: Extracting #11: cost 0 inf + 129388 308.135 * * [simplify]: Extracting #12: cost 0 inf + 129268 308.166 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ lambda2 lambda1) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 308.167 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ lambda2 lambda1) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 308.168 * * * * [progress]: [ 804 / 4754 ] simplifiying candidate # 308.168 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 308.168 * * [simplify]: iters left: 6 (49 enodes) 308.182 * * [simplify]: iters left: 5 (247 enodes) 308.272 * * [simplify]: Extracting #0: cost 1 inf + 0 308.272 * * [simplify]: Extracting #1: cost 3 inf + 0 308.272 * * [simplify]: Extracting #2: cost 6 inf + 0 308.272 * * [simplify]: Extracting #3: cost 10 inf + 0 308.272 * * [simplify]: Extracting #4: cost 16 inf + 0 308.273 * * [simplify]: Extracting #5: cost 116 inf + 0 308.274 * * [simplify]: Extracting #6: cost 288 inf + 0 308.278 * * [simplify]: Extracting #7: cost 342 inf + 1880 308.290 * * [simplify]: Extracting #8: cost 193 inf + 38141 308.322 * * [simplify]: Extracting #9: cost 61 inf + 94867 308.343 * * [simplify]: Extracting #10: cost 11 inf + 117300 308.377 * * [simplify]: Extracting #11: cost 1 inf + 125898 308.404 * * [simplify]: Extracting #12: cost 0 inf + 127603 308.427 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 308.427 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 308.428 * * * * [progress]: [ 805 / 4754 ] simplifiying candidate # 308.428 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 308.428 * * [simplify]: iters left: 6 (49 enodes) 308.446 * * [simplify]: iters left: 5 (245 enodes) 308.544 * * [simplify]: Extracting #0: cost 1 inf + 0 308.544 * * [simplify]: Extracting #1: cost 3 inf + 0 308.544 * * [simplify]: Extracting #2: cost 6 inf + 0 308.544 * * [simplify]: Extracting #3: cost 10 inf + 0 308.544 * * [simplify]: Extracting #4: cost 16 inf + 0 308.545 * * [simplify]: Extracting #5: cost 112 inf + 0 308.545 * * [simplify]: Extracting #6: cost 276 inf + 0 308.546 * * [simplify]: Extracting #7: cost 328 inf + 788 308.550 * * [simplify]: Extracting #8: cost 219 inf + 21888 308.566 * * [simplify]: Extracting #9: cost 84 inf + 71601 308.588 * * [simplify]: Extracting #10: cost 17 inf + 105828 308.611 * * [simplify]: Extracting #11: cost 2 inf + 117547 308.646 * * [simplify]: Extracting #12: cost 0 inf + 121237 308.669 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 308.669 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 308.670 * * * * [progress]: [ 806 / 4754 ] simplifiying candidate # 308.670 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 308.670 * * [simplify]: iters left: 6 (48 enodes) 308.686 * * [simplify]: iters left: 5 (239 enodes) 308.795 * * [simplify]: Extracting #0: cost 1 inf + 0 308.795 * * [simplify]: Extracting #1: cost 3 inf + 0 308.795 * * [simplify]: Extracting #2: cost 6 inf + 0 308.795 * * [simplify]: Extracting #3: cost 10 inf + 0 308.795 * * [simplify]: Extracting #4: cost 20 inf + 0 308.795 * * [simplify]: Extracting #5: cost 132 inf + 0 308.796 * * [simplify]: Extracting #6: cost 276 inf + 1 308.798 * * [simplify]: Extracting #7: cost 323 inf + 1154 308.806 * * [simplify]: Extracting #8: cost 195 inf + 29218 308.825 * * [simplify]: Extracting #9: cost 55 inf + 92272 308.863 * * [simplify]: Extracting #10: cost 13 inf + 118365 308.907 * * [simplify]: Extracting #11: cost 0 inf + 125404 308.952 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 308.952 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 308.953 * * * * [progress]: [ 807 / 4754 ] simplifiying candidate # 308.954 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 308.954 * * [simplify]: iters left: 6 (49 enodes) 308.981 * * [simplify]: iters left: 5 (245 enodes) 309.074 * * [simplify]: Extracting #0: cost 1 inf + 0 309.074 * * [simplify]: Extracting #1: cost 3 inf + 0 309.074 * * [simplify]: Extracting #2: cost 6 inf + 0 309.075 * * [simplify]: Extracting #3: cost 10 inf + 0 309.075 * * [simplify]: Extracting #4: cost 20 inf + 0 309.075 * * [simplify]: Extracting #5: cost 126 inf + 0 309.076 * * [simplify]: Extracting #6: cost 273 inf + 44 309.079 * * [simplify]: Extracting #7: cost 317 inf + 1527 309.088 * * [simplify]: Extracting #8: cost 184 inf + 30713 309.119 * * [simplify]: Extracting #9: cost 59 inf + 80576 309.157 * * [simplify]: Extracting #10: cost 14 inf + 105202 309.200 * * [simplify]: Extracting #11: cost 0 inf + 115214 309.241 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 309.241 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 309.242 * * * * [progress]: [ 808 / 4754 ] simplifiying candidate # 309.242 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 309.243 * * [simplify]: iters left: 6 (48 enodes) 309.268 * * [simplify]: iters left: 5 (239 enodes) 309.354 * * [simplify]: Extracting #0: cost 1 inf + 0 309.354 * * [simplify]: Extracting #1: cost 3 inf + 0 309.354 * * [simplify]: Extracting #2: cost 6 inf + 0 309.354 * * [simplify]: Extracting #3: cost 10 inf + 0 309.354 * * [simplify]: Extracting #4: cost 20 inf + 0 309.355 * * [simplify]: Extracting #5: cost 132 inf + 0 309.356 * * [simplify]: Extracting #6: cost 276 inf + 1 309.357 * * [simplify]: Extracting #7: cost 323 inf + 1154 309.362 * * [simplify]: Extracting #8: cost 195 inf + 29218 309.380 * * [simplify]: Extracting #9: cost 55 inf + 92912 309.417 * * [simplify]: Extracting #10: cost 13 inf + 119005 309.440 * * [simplify]: Extracting #11: cost 0 inf + 126044 309.464 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 309.465 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 309.466 * * * * [progress]: [ 809 / 4754 ] simplifiying candidate # 309.467 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 309.467 * * [simplify]: iters left: 6 (49 enodes) 309.495 * * [simplify]: iters left: 5 (245 enodes) 309.599 * * [simplify]: Extracting #0: cost 1 inf + 0 309.599 * * [simplify]: Extracting #1: cost 3 inf + 0 309.599 * * [simplify]: Extracting #2: cost 6 inf + 0 309.599 * * [simplify]: Extracting #3: cost 10 inf + 0 309.599 * * [simplify]: Extracting #4: cost 20 inf + 0 309.599 * * [simplify]: Extracting #5: cost 125 inf + 0 309.600 * * [simplify]: Extracting #6: cost 272 inf + 86 309.602 * * [simplify]: Extracting #7: cost 312 inf + 2055 309.611 * * [simplify]: Extracting #8: cost 176 inf + 31974 309.641 * * [simplify]: Extracting #9: cost 58 inf + 79980 309.661 * * [simplify]: Extracting #10: cost 15 inf + 102790 309.693 * * [simplify]: Extracting #11: cost 0 inf + 112654 309.713 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 309.713 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 309.714 * * * * [progress]: [ 810 / 4754 ] simplifiying candidate # 309.714 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 309.715 * * [simplify]: iters left: 6 (46 enodes) 309.728 * * [simplify]: iters left: 5 (223 enodes) 309.813 * * [simplify]: Extracting #0: cost 1 inf + 0 309.813 * * [simplify]: Extracting #1: cost 3 inf + 0 309.813 * * [simplify]: Extracting #2: cost 6 inf + 0 309.813 * * [simplify]: Extracting #3: cost 10 inf + 0 309.813 * * [simplify]: Extracting #4: cost 16 inf + 0 309.813 * * [simplify]: Extracting #5: cost 98 inf + 0 309.814 * * [simplify]: Extracting #6: cost 237 inf + 0 309.816 * * [simplify]: Extracting #7: cost 300 inf + 412 309.819 * * [simplify]: Extracting #8: cost 244 inf + 7887 309.828 * * [simplify]: Extracting #9: cost 163 inf + 26477 309.854 * * [simplify]: Extracting #10: cost 50 inf + 73168 309.877 * * [simplify]: Extracting #11: cost 4 inf + 103843 309.902 * * [simplify]: Extracting #12: cost 0 inf + 107983 309.940 * * [simplify]: Extracting #13: cost 0 inf + 107823 309.979 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 309.979 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 309.981 * * * * [progress]: [ 811 / 4754 ] simplifiying candidate # 309.981 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 309.982 * * [simplify]: iters left: 6 (49 enodes) 310.011 * * [simplify]: iters left: 5 (246 enodes) 310.092 * * [simplify]: Extracting #0: cost 1 inf + 0 310.092 * * [simplify]: Extracting #1: cost 3 inf + 0 310.092 * * [simplify]: Extracting #2: cost 6 inf + 0 310.092 * * [simplify]: Extracting #3: cost 10 inf + 0 310.092 * * [simplify]: Extracting #4: cost 16 inf + 0 310.092 * * [simplify]: Extracting #5: cost 109 inf + 0 310.093 * * [simplify]: Extracting #6: cost 285 inf + 0 310.094 * * [simplify]: Extracting #7: cost 342 inf + 1637 310.102 * * [simplify]: Extracting #8: cost 215 inf + 23511 310.113 * * [simplify]: Extracting #9: cost 118 inf + 59837 310.143 * * [simplify]: Extracting #10: cost 12 inf + 112510 310.186 * * [simplify]: Extracting #11: cost 0 inf + 120970 310.231 * * [simplify]: Extracting #12: cost 0 inf + 120210 310.274 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) 310.274 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 310.275 * * * * [progress]: [ 812 / 4754 ] simplifiying candidate # 310.276 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 310.277 * * [simplify]: iters left: 6 (49 enodes) 310.303 * * [simplify]: iters left: 5 (246 enodes) 310.394 * * [simplify]: Extracting #0: cost 1 inf + 0 310.394 * * [simplify]: Extracting #1: cost 3 inf + 0 310.394 * * [simplify]: Extracting #2: cost 6 inf + 0 310.394 * * [simplify]: Extracting #3: cost 10 inf + 0 310.394 * * [simplify]: Extracting #4: cost 16 inf + 0 310.394 * * [simplify]: Extracting #5: cost 111 inf + 0 310.395 * * [simplify]: Extracting #6: cost 285 inf + 0 310.398 * * [simplify]: Extracting #7: cost 344 inf + 1151 310.406 * * [simplify]: Extracting #8: cost 223 inf + 20805 310.430 * * [simplify]: Extracting #9: cost 101 inf + 70128 310.472 * * [simplify]: Extracting #10: cost 7 inf + 116088 310.494 * * [simplify]: Extracting #11: cost 0 inf + 118930 310.532 * * [simplify]: Extracting #12: cost 0 inf + 118410 310.575 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 310.575 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 310.576 * * * * [progress]: [ 813 / 4754 ] simplifiying candidate # 310.577 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 310.577 * * [simplify]: iters left: 6 (49 enodes) 310.590 * * [simplify]: iters left: 5 (244 enodes) 310.689 * * [simplify]: Extracting #0: cost 1 inf + 0 310.689 * * [simplify]: Extracting #1: cost 3 inf + 0 310.689 * * [simplify]: Extracting #2: cost 6 inf + 0 310.689 * * [simplify]: Extracting #3: cost 10 inf + 0 310.689 * * [simplify]: Extracting #4: cost 16 inf + 0 310.689 * * [simplify]: Extracting #5: cost 107 inf + 0 310.690 * * [simplify]: Extracting #6: cost 273 inf + 0 310.692 * * [simplify]: Extracting #7: cost 326 inf + 946 310.699 * * [simplify]: Extracting #8: cost 217 inf + 19259 310.715 * * [simplify]: Extracting #9: cost 128 inf + 48886 310.730 * * [simplify]: Extracting #10: cost 23 inf + 94895 310.762 * * [simplify]: Extracting #11: cost 3 inf + 107169 310.791 * * [simplify]: Extracting #12: cost 0 inf + 110724 310.813 * * [simplify]: Extracting #13: cost 0 inf + 110524 310.843 * * [simplify]: Extracting #14: cost 0 inf + 110444 310.864 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 310.864 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 310.865 * * * * [progress]: [ 814 / 4754 ] simplifiying candidate # 310.865 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 310.865 * * [simplify]: iters left: 6 (48 enodes) 310.883 * * [simplify]: iters left: 5 (238 enodes) 310.963 * * [simplify]: Extracting #0: cost 1 inf + 0 310.963 * * [simplify]: Extracting #1: cost 3 inf + 0 310.963 * * [simplify]: Extracting #2: cost 6 inf + 0 310.963 * * [simplify]: Extracting #3: cost 10 inf + 0 310.963 * * [simplify]: Extracting #4: cost 20 inf + 0 310.964 * * [simplify]: Extracting #5: cost 127 inf + 0 310.965 * * [simplify]: Extracting #6: cost 272 inf + 1 310.967 * * [simplify]: Extracting #7: cost 320 inf + 1150 310.980 * * [simplify]: Extracting #8: cost 190 inf + 26666 310.998 * * [simplify]: Extracting #9: cost 58 inf + 82373 311.020 * * [simplify]: Extracting #10: cost 3 inf + 112968 311.044 * * [simplify]: Extracting #11: cost 0 inf + 113426 311.073 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 311.073 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 311.074 * * * * [progress]: [ 815 / 4754 ] simplifiying candidate # 311.075 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 311.075 * * [simplify]: iters left: 6 (49 enodes) 311.094 * * [simplify]: iters left: 5 (244 enodes) 311.161 * * [simplify]: Extracting #0: cost 1 inf + 0 311.161 * * [simplify]: Extracting #1: cost 3 inf + 0 311.161 * * [simplify]: Extracting #2: cost 6 inf + 0 311.161 * * [simplify]: Extracting #3: cost 10 inf + 0 311.161 * * [simplify]: Extracting #4: cost 20 inf + 0 311.161 * * [simplify]: Extracting #5: cost 121 inf + 0 311.162 * * [simplify]: Extracting #6: cost 270 inf + 44 311.163 * * [simplify]: Extracting #7: cost 315 inf + 1524 311.172 * * [simplify]: Extracting #8: cost 176 inf + 28660 311.186 * * [simplify]: Extracting #9: cost 44 inf + 87858 311.208 * * [simplify]: Extracting #10: cost 8 inf + 102515 311.250 * * [simplify]: Extracting #11: cost 0 inf + 107461 311.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 311.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 311.284 * * * * [progress]: [ 816 / 4754 ] simplifiying candidate # 311.284 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 311.284 * * [simplify]: iters left: 6 (48 enodes) 311.298 * * [simplify]: iters left: 5 (238 enodes) 311.373 * * [simplify]: Extracting #0: cost 1 inf + 0 311.373 * * [simplify]: Extracting #1: cost 3 inf + 0 311.373 * * [simplify]: Extracting #2: cost 6 inf + 0 311.373 * * [simplify]: Extracting #3: cost 10 inf + 0 311.373 * * [simplify]: Extracting #4: cost 20 inf + 0 311.373 * * [simplify]: Extracting #5: cost 127 inf + 0 311.374 * * [simplify]: Extracting #6: cost 272 inf + 1 311.376 * * [simplify]: Extracting #7: cost 320 inf + 1150 311.384 * * [simplify]: Extracting #8: cost 193 inf + 26256 311.407 * * [simplify]: Extracting #9: cost 58 inf + 83013 311.427 * * [simplify]: Extracting #10: cost 3 inf + 113608 311.467 * * [simplify]: Extracting #11: cost 0 inf + 114066 311.495 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 311.495 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 311.496 * * * * [progress]: [ 817 / 4754 ] simplifiying candidate # 311.496 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 311.496 * * [simplify]: iters left: 6 (49 enodes) 311.510 * * [simplify]: iters left: 5 (244 enodes) 311.584 * * [simplify]: Extracting #0: cost 1 inf + 0 311.584 * * [simplify]: Extracting #1: cost 3 inf + 0 311.584 * * [simplify]: Extracting #2: cost 6 inf + 0 311.584 * * [simplify]: Extracting #3: cost 10 inf + 0 311.584 * * [simplify]: Extracting #4: cost 20 inf + 0 311.585 * * [simplify]: Extracting #5: cost 120 inf + 0 311.586 * * [simplify]: Extracting #6: cost 270 inf + 44 311.588 * * [simplify]: Extracting #7: cost 307 inf + 2817 311.598 * * [simplify]: Extracting #8: cost 162 inf + 33391 311.631 * * [simplify]: Extracting #9: cost 43 inf + 88083 311.663 * * [simplify]: Extracting #10: cost 8 inf + 102715 311.700 * * [simplify]: Extracting #11: cost 0 inf + 107701 311.736 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 311.736 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 311.737 * * * * [progress]: [ 818 / 4754 ] simplifiying candidate # 311.738 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 311.739 * * [simplify]: iters left: 6 (46 enodes) 311.761 * * [simplify]: iters left: 5 (226 enodes) 311.817 * * [simplify]: Extracting #0: cost 1 inf + 0 311.817 * * [simplify]: Extracting #1: cost 3 inf + 0 311.817 * * [simplify]: Extracting #2: cost 6 inf + 0 311.817 * * [simplify]: Extracting #3: cost 10 inf + 0 311.817 * * [simplify]: Extracting #4: cost 16 inf + 0 311.817 * * [simplify]: Extracting #5: cost 101 inf + 0 311.818 * * [simplify]: Extracting #6: cost 245 inf + 0 311.819 * * [simplify]: Extracting #7: cost 311 inf + 248 311.821 * * [simplify]: Extracting #8: cost 258 inf + 7921 311.826 * * [simplify]: Extracting #9: cost 182 inf + 27158 311.837 * * [simplify]: Extracting #10: cost 69 inf + 71100 311.867 * * [simplify]: Extracting #11: cost 10 inf + 108741 311.888 * * [simplify]: Extracting #12: cost 2 inf + 118301 311.928 * * [simplify]: Extracting #13: cost 0 inf + 121071 311.972 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 311.972 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 311.973 * * * * [progress]: [ 819 / 4754 ] simplifiying candidate # 311.974 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 311.974 * * [simplify]: iters left: 6 (49 enodes) 311.996 * * [simplify]: iters left: 5 (247 enodes) 312.066 * * [simplify]: Extracting #0: cost 1 inf + 0 312.066 * * [simplify]: Extracting #1: cost 3 inf + 0 312.066 * * [simplify]: Extracting #2: cost 6 inf + 0 312.066 * * [simplify]: Extracting #3: cost 10 inf + 0 312.066 * * [simplify]: Extracting #4: cost 16 inf + 0 312.066 * * [simplify]: Extracting #5: cost 113 inf + 0 312.067 * * [simplify]: Extracting #6: cost 287 inf + 0 312.071 * * [simplify]: Extracting #7: cost 347 inf + 1395 312.083 * * [simplify]: Extracting #8: cost 184 inf + 43563 312.119 * * [simplify]: Extracting #9: cost 43 inf + 111750 312.163 * * [simplify]: Extracting #10: cost 4 inf + 128580 312.187 * * [simplify]: Extracting #11: cost 0 inf + 128348 312.219 * * [simplify]: Extracting #12: cost 0 inf + 128228 312.253 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 312.253 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 312.254 * * * * [progress]: [ 820 / 4754 ] simplifiying candidate # 312.255 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 312.255 * * [simplify]: iters left: 6 (49 enodes) 312.271 * * [simplify]: iters left: 5 (247 enodes) 312.364 * * [simplify]: Extracting #0: cost 1 inf + 0 312.364 * * [simplify]: Extracting #1: cost 3 inf + 0 312.364 * * [simplify]: Extracting #2: cost 6 inf + 0 312.364 * * [simplify]: Extracting #3: cost 10 inf + 0 312.364 * * [simplify]: Extracting #4: cost 16 inf + 0 312.364 * * [simplify]: Extracting #5: cost 115 inf + 0 312.365 * * [simplify]: Extracting #6: cost 287 inf + 0 312.368 * * [simplify]: Extracting #7: cost 346 inf + 1474 312.376 * * [simplify]: Extracting #8: cost 195 inf + 37138 312.393 * * [simplify]: Extracting #9: cost 64 inf + 91994 312.423 * * [simplify]: Extracting #10: cost 11 inf + 116845 312.471 * * [simplify]: Extracting #11: cost 2 inf + 124138 312.516 * * [simplify]: Extracting #12: cost 0 inf + 127108 312.552 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 312.552 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 312.553 * * * * [progress]: [ 821 / 4754 ] simplifiying candidate # 312.553 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 312.553 * * [simplify]: iters left: 6 (49 enodes) 312.568 * * [simplify]: iters left: 5 (245 enodes) 312.639 * * [simplify]: Extracting #0: cost 1 inf + 0 312.639 * * [simplify]: Extracting #1: cost 3 inf + 0 312.640 * * [simplify]: Extracting #2: cost 6 inf + 0 312.640 * * [simplify]: Extracting #3: cost 10 inf + 0 312.640 * * [simplify]: Extracting #4: cost 16 inf + 0 312.640 * * [simplify]: Extracting #5: cost 111 inf + 0 312.640 * * [simplify]: Extracting #6: cost 274 inf + 0 312.641 * * [simplify]: Extracting #7: cost 328 inf + 827 312.645 * * [simplify]: Extracting #8: cost 221 inf + 21428 312.665 * * [simplify]: Extracting #9: cost 83 inf + 70959 312.699 * * [simplify]: Extracting #10: cost 16 inf + 102680 312.738 * * [simplify]: Extracting #11: cost 2 inf + 113787 312.779 * * [simplify]: Extracting #12: cost 0 inf + 117477 312.809 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 312.809 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 312.810 * * * * [progress]: [ 822 / 4754 ] simplifiying candidate # 312.810 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 312.810 * * [simplify]: iters left: 6 (48 enodes) 312.824 * * [simplify]: iters left: 5 (239 enodes) 312.923 * * [simplify]: Extracting #0: cost 1 inf + 0 312.923 * * [simplify]: Extracting #1: cost 3 inf + 0 312.923 * * [simplify]: Extracting #2: cost 6 inf + 0 312.923 * * [simplify]: Extracting #3: cost 10 inf + 0 312.923 * * [simplify]: Extracting #4: cost 20 inf + 0 312.923 * * [simplify]: Extracting #5: cost 131 inf + 0 312.924 * * [simplify]: Extracting #6: cost 274 inf + 1 312.926 * * [simplify]: Extracting #7: cost 324 inf + 1029 312.936 * * [simplify]: Extracting #8: cost 229 inf + 18642 312.951 * * [simplify]: Extracting #9: cost 143 inf + 46750 312.982 * * [simplify]: Extracting #10: cost 38 inf + 96285 313.022 * * [simplify]: Extracting #11: cost 1 inf + 119779 313.064 * * [simplify]: Extracting #12: cost 0 inf + 121484 313.090 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 313.090 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 313.091 * * * * [progress]: [ 823 / 4754 ] simplifiying candidate # 313.091 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 313.092 * * [simplify]: iters left: 6 (49 enodes) 313.108 * * [simplify]: iters left: 5 (245 enodes) 313.216 * * [simplify]: Extracting #0: cost 1 inf + 0 313.216 * * [simplify]: Extracting #1: cost 3 inf + 0 313.216 * * [simplify]: Extracting #2: cost 6 inf + 0 313.216 * * [simplify]: Extracting #3: cost 10 inf + 0 313.216 * * [simplify]: Extracting #4: cost 20 inf + 0 313.216 * * [simplify]: Extracting #5: cost 125 inf + 0 313.217 * * [simplify]: Extracting #6: cost 271 inf + 44 313.218 * * [simplify]: Extracting #7: cost 319 inf + 1361 313.223 * * [simplify]: Extracting #8: cost 185 inf + 32191 313.236 * * [simplify]: Extracting #9: cost 55 inf + 83857 313.275 * * [simplify]: Extracting #10: cost 10 inf + 108542 313.297 * * [simplify]: Extracting #11: cost 0 inf + 115134 313.330 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 313.330 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 313.331 * * * * [progress]: [ 824 / 4754 ] simplifiying candidate # 313.331 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 313.332 * * [simplify]: iters left: 6 (48 enodes) 313.357 * * [simplify]: iters left: 5 (239 enodes) 313.431 * * [simplify]: Extracting #0: cost 1 inf + 0 313.431 * * [simplify]: Extracting #1: cost 3 inf + 0 313.431 * * [simplify]: Extracting #2: cost 6 inf + 0 313.431 * * [simplify]: Extracting #3: cost 10 inf + 0 313.432 * * [simplify]: Extracting #4: cost 20 inf + 0 313.432 * * [simplify]: Extracting #5: cost 131 inf + 0 313.432 * * [simplify]: Extracting #6: cost 274 inf + 1 313.434 * * [simplify]: Extracting #7: cost 324 inf + 1029 313.440 * * [simplify]: Extracting #8: cost 229 inf + 18642 313.455 * * [simplify]: Extracting #9: cost 142 inf + 47672 313.471 * * [simplify]: Extracting #10: cost 41 inf + 95250 313.492 * * [simplify]: Extracting #11: cost 1 inf + 120419 313.534 * * [simplify]: Extracting #12: cost 0 inf + 122124 313.577 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 313.577 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 313.578 * * * * [progress]: [ 825 / 4754 ] simplifiying candidate # 313.579 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 313.579 * * [simplify]: iters left: 6 (49 enodes) 313.605 * * [simplify]: iters left: 5 (245 enodes) 313.675 * * [simplify]: Extracting #0: cost 1 inf + 0 313.675 * * [simplify]: Extracting #1: cost 3 inf + 0 313.675 * * [simplify]: Extracting #2: cost 6 inf + 0 313.675 * * [simplify]: Extracting #3: cost 10 inf + 0 313.675 * * [simplify]: Extracting #4: cost 20 inf + 0 313.675 * * [simplify]: Extracting #5: cost 124 inf + 0 313.676 * * [simplify]: Extracting #6: cost 271 inf + 44 313.677 * * [simplify]: Extracting #7: cost 315 inf + 1968 313.682 * * [simplify]: Extracting #8: cost 179 inf + 32239 313.698 * * [simplify]: Extracting #9: cost 56 inf + 83472 313.736 * * [simplify]: Extracting #10: cost 11 inf + 108490 313.776 * * [simplify]: Extracting #11: cost 0 inf + 115374 313.820 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 313.820 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 313.821 * * * * [progress]: [ 826 / 4754 ] simplifiying candidate # 313.821 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 313.822 * * [simplify]: iters left: 6 (46 enodes) 313.846 * * [simplify]: iters left: 5 (225 enodes) 313.932 * * [simplify]: Extracting #0: cost 1 inf + 0 313.932 * * [simplify]: Extracting #1: cost 3 inf + 0 313.932 * * [simplify]: Extracting #2: cost 6 inf + 0 313.932 * * [simplify]: Extracting #3: cost 10 inf + 0 313.932 * * [simplify]: Extracting #4: cost 16 inf + 0 313.932 * * [simplify]: Extracting #5: cost 100 inf + 0 313.933 * * [simplify]: Extracting #6: cost 249 inf + 0 313.935 * * [simplify]: Extracting #7: cost 310 inf + 248 313.939 * * [simplify]: Extracting #8: cost 237 inf + 14047 313.959 * * [simplify]: Extracting #9: cost 95 inf + 62092 313.996 * * [simplify]: Extracting #10: cost 4 inf + 110856 314.037 * * [simplify]: Extracting #11: cost 0 inf + 113282 314.079 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 314.079 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 314.080 * * * * [progress]: [ 827 / 4754 ] simplifiying candidate # 314.083 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 314.083 * * [simplify]: iters left: 6 (49 enodes) 314.097 * * [simplify]: iters left: 5 (247 enodes) 314.160 * * [simplify]: Extracting #0: cost 1 inf + 0 314.160 * * [simplify]: Extracting #1: cost 3 inf + 0 314.160 * * [simplify]: Extracting #2: cost 6 inf + 0 314.160 * * [simplify]: Extracting #3: cost 10 inf + 0 314.160 * * [simplify]: Extracting #4: cost 16 inf + 0 314.160 * * [simplify]: Extracting #5: cost 110 inf + 0 314.161 * * [simplify]: Extracting #6: cost 290 inf + 0 314.162 * * [simplify]: Extracting #7: cost 347 inf + 1110 314.168 * * [simplify]: Extracting #8: cost 187 inf + 40206 314.186 * * [simplify]: Extracting #9: cost 46 inf + 102006 314.209 * * [simplify]: Extracting #10: cost 5 inf + 120244 314.239 * * [simplify]: Extracting #11: cost 0 inf + 120595 314.285 * * [simplify]: Extracting #12: cost 0 inf + 120435 314.307 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 314.307 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 314.308 * * * * [progress]: [ 828 / 4754 ] simplifiying candidate # 314.308 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 314.309 * * [simplify]: iters left: 6 (49 enodes) 314.325 * * [simplify]: iters left: 5 (247 enodes) 314.391 * * [simplify]: Extracting #0: cost 1 inf + 0 314.391 * * [simplify]: Extracting #1: cost 3 inf + 0 314.391 * * [simplify]: Extracting #2: cost 6 inf + 0 314.391 * * [simplify]: Extracting #3: cost 10 inf + 0 314.391 * * [simplify]: Extracting #4: cost 16 inf + 0 314.392 * * [simplify]: Extracting #5: cost 112 inf + 0 314.392 * * [simplify]: Extracting #6: cost 290 inf + 0 314.393 * * [simplify]: Extracting #7: cost 347 inf + 1268 314.398 * * [simplify]: Extracting #8: cost 209 inf + 26671 314.419 * * [simplify]: Extracting #9: cost 92 inf + 72012 314.456 * * [simplify]: Extracting #10: cost 22 inf + 110057 314.503 * * [simplify]: Extracting #11: cost 0 inf + 121195 314.546 * * [simplify]: Extracting #12: cost 0 inf + 121075 314.589 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 314.589 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 314.591 * * * * [progress]: [ 829 / 4754 ] simplifiying candidate # 314.591 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 314.592 * * [simplify]: iters left: 6 (49 enodes) 314.617 * * [simplify]: iters left: 5 (245 enodes) 314.695 * * [simplify]: Extracting #0: cost 1 inf + 0 314.695 * * [simplify]: Extracting #1: cost 3 inf + 0 314.695 * * [simplify]: Extracting #2: cost 6 inf + 0 314.695 * * [simplify]: Extracting #3: cost 10 inf + 0 314.695 * * [simplify]: Extracting #4: cost 16 inf + 0 314.696 * * [simplify]: Extracting #5: cost 108 inf + 0 314.697 * * [simplify]: Extracting #6: cost 277 inf + 0 314.699 * * [simplify]: Extracting #7: cost 327 inf + 787 314.703 * * [simplify]: Extracting #8: cost 232 inf + 15187 314.710 * * [simplify]: Extracting #9: cost 141 inf + 40792 314.726 * * [simplify]: Extracting #10: cost 48 inf + 80489 314.744 * * [simplify]: Extracting #11: cost 5 inf + 102919 314.765 * * [simplify]: Extracting #12: cost 2 inf + 106634 314.795 * * [simplify]: Extracting #13: cost 0 inf + 110004 314.814 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 314.814 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 314.815 * * * * [progress]: [ 830 / 4754 ] simplifiying candidate # 314.815 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 314.816 * * [simplify]: iters left: 6 (48 enodes) 314.830 * * [simplify]: iters left: 5 (239 enodes) 314.929 * * [simplify]: Extracting #0: cost 1 inf + 0 314.929 * * [simplify]: Extracting #1: cost 3 inf + 0 314.929 * * [simplify]: Extracting #2: cost 6 inf + 0 314.929 * * [simplify]: Extracting #3: cost 10 inf + 0 314.929 * * [simplify]: Extracting #4: cost 20 inf + 0 314.930 * * [simplify]: Extracting #5: cost 128 inf + 0 314.931 * * [simplify]: Extracting #6: cost 277 inf + 1 314.933 * * [simplify]: Extracting #7: cost 322 inf + 988 314.943 * * [simplify]: Extracting #8: cost 212 inf + 20115 314.957 * * [simplify]: Extracting #9: cost 137 inf + 44314 314.985 * * [simplify]: Extracting #10: cost 35 inf + 90204 315.024 * * [simplify]: Extracting #11: cost 2 inf + 111161 315.065 * * [simplify]: Extracting #12: cost 0 inf + 113651 315.108 * * [simplify]: Extracting #13: cost 0 inf + 113411 315.147 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 315.148 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 315.149 * * * * [progress]: [ 831 / 4754 ] simplifiying candidate # 315.149 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 315.150 * * [simplify]: iters left: 6 (49 enodes) 315.176 * * [simplify]: iters left: 5 (245 enodes) 315.291 * * [simplify]: Extracting #0: cost 1 inf + 0 315.291 * * [simplify]: Extracting #1: cost 3 inf + 0 315.291 * * [simplify]: Extracting #2: cost 6 inf + 0 315.291 * * [simplify]: Extracting #3: cost 10 inf + 0 315.291 * * [simplify]: Extracting #4: cost 20 inf + 0 315.292 * * [simplify]: Extracting #5: cost 122 inf + 0 315.293 * * [simplify]: Extracting #6: cost 274 inf + 44 315.295 * * [simplify]: Extracting #7: cost 315 inf + 1924 315.302 * * [simplify]: Extracting #8: cost 207 inf + 19283 315.316 * * [simplify]: Extracting #9: cost 126 inf + 44441 315.343 * * [simplify]: Extracting #10: cost 38 inf + 80885 315.371 * * [simplify]: Extracting #11: cost 3 inf + 101506 315.394 * * [simplify]: Extracting #12: cost 0 inf + 105221 315.421 * * [simplify]: Extracting #13: cost 0 inf + 105141 315.441 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 315.441 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 315.442 * * * * [progress]: [ 832 / 4754 ] simplifiying candidate # 315.443 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 315.444 * * [simplify]: iters left: 6 (48 enodes) 315.460 * * [simplify]: iters left: 5 (239 enodes) 315.531 * * [simplify]: Extracting #0: cost 1 inf + 0 315.531 * * [simplify]: Extracting #1: cost 3 inf + 0 315.531 * * [simplify]: Extracting #2: cost 6 inf + 0 315.531 * * [simplify]: Extracting #3: cost 10 inf + 0 315.531 * * [simplify]: Extracting #4: cost 20 inf + 0 315.531 * * [simplify]: Extracting #5: cost 128 inf + 0 315.532 * * [simplify]: Extracting #6: cost 277 inf + 1 315.533 * * [simplify]: Extracting #7: cost 324 inf + 744 315.537 * * [simplify]: Extracting #8: cost 214 inf + 20110 315.545 * * [simplify]: Extracting #9: cost 137 inf + 45114 315.570 * * [simplify]: Extracting #10: cost 35 inf + 91324 315.603 * * [simplify]: Extracting #11: cost 2 inf + 113081 315.639 * * [simplify]: Extracting #12: cost 0 inf + 116451 315.667 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 315.667 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 315.668 * * * * [progress]: [ 833 / 4754 ] simplifiying candidate # 315.668 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 315.669 * * [simplify]: iters left: 6 (49 enodes) 315.682 * * [simplify]: iters left: 5 (245 enodes) 315.769 * * [simplify]: Extracting #0: cost 1 inf + 0 315.769 * * [simplify]: Extracting #1: cost 3 inf + 0 315.769 * * [simplify]: Extracting #2: cost 6 inf + 0 315.769 * * [simplify]: Extracting #3: cost 10 inf + 0 315.769 * * [simplify]: Extracting #4: cost 20 inf + 0 315.769 * * [simplify]: Extracting #5: cost 121 inf + 0 315.770 * * [simplify]: Extracting #6: cost 273 inf + 86 315.771 * * [simplify]: Extracting #7: cost 306 inf + 3264 315.775 * * [simplify]: Extracting #8: cost 198 inf + 20947 315.782 * * [simplify]: Extracting #9: cost 128 inf + 43611 315.796 * * [simplify]: Extracting #10: cost 40 inf + 80290 315.816 * * [simplify]: Extracting #11: cost 3 inf + 101586 315.850 * * [simplify]: Extracting #12: cost 0 inf + 105301 315.886 * * [simplify]: Extracting #13: cost 0 inf + 105221 315.924 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 315.924 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 315.925 * * * * [progress]: [ 834 / 4754 ] simplifiying candidate # 315.925 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 315.926 * * [simplify]: iters left: 6 (48 enodes) 315.956 * * [simplify]: iters left: 5 (242 enodes) 316.069 * * [simplify]: Extracting #0: cost 1 inf + 0 316.069 * * [simplify]: Extracting #1: cost 3 inf + 0 316.069 * * [simplify]: Extracting #2: cost 6 inf + 0 316.069 * * [simplify]: Extracting #3: cost 10 inf + 0 316.069 * * [simplify]: Extracting #4: cost 16 inf + 0 316.069 * * [simplify]: Extracting #5: cost 101 inf + 0 316.070 * * [simplify]: Extracting #6: cost 258 inf + 2 316.072 * * [simplify]: Extracting #7: cost 296 inf + 3968 316.077 * * [simplify]: Extracting #8: cost 217 inf + 14855 316.094 * * [simplify]: Extracting #9: cost 112 inf + 47660 316.108 * * [simplify]: Extracting #10: cost 21 inf + 87288 316.127 * * [simplify]: Extracting #11: cost 2 inf + 98648 316.152 * * [simplify]: Extracting #12: cost 0 inf + 101996 316.174 * * [simplify]: Extracting #13: cost 0 inf + 101814 316.200 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 316.200 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 316.201 * * * * [progress]: [ 835 / 4754 ] simplifiying candidate # 316.201 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 316.201 * * [simplify]: iters left: 6 (48 enodes) 316.222 * * [simplify]: iters left: 5 (240 enodes) 316.280 * * [simplify]: Extracting #0: cost 1 inf + 0 316.281 * * [simplify]: Extracting #1: cost 3 inf + 0 316.281 * * [simplify]: Extracting #2: cost 6 inf + 0 316.281 * * [simplify]: Extracting #3: cost 10 inf + 0 316.281 * * [simplify]: Extracting #4: cost 19 inf + 0 316.281 * * [simplify]: Extracting #5: cost 108 inf + 0 316.282 * * [simplify]: Extracting #6: cost 259 inf + 0 316.284 * * [simplify]: Extracting #7: cost 299 inf + 3049 316.290 * * [simplify]: Extracting #8: cost 204 inf + 17799 316.302 * * [simplify]: Extracting #9: cost 130 inf + 37389 316.318 * * [simplify]: Extracting #10: cost 32 inf + 79592 316.335 * * [simplify]: Extracting #11: cost 2 inf + 95569 316.360 * * [simplify]: Extracting #12: cost 0 inf + 98939 316.379 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 316.379 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 316.379 * * * * [progress]: [ 836 / 4754 ] simplifiying candidate # 316.380 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 316.380 * * [simplify]: iters left: 6 (48 enodes) 316.400 * * [simplify]: iters left: 5 (256 enodes) 316.476 * * [simplify]: Extracting #0: cost 1 inf + 0 316.476 * * [simplify]: Extracting #1: cost 3 inf + 0 316.476 * * [simplify]: Extracting #2: cost 6 inf + 0 316.476 * * [simplify]: Extracting #3: cost 10 inf + 0 316.476 * * [simplify]: Extracting #4: cost 16 inf + 0 316.476 * * [simplify]: Extracting #5: cost 118 inf + 0 316.477 * * [simplify]: Extracting #6: cost 314 inf + 0 316.480 * * [simplify]: Extracting #7: cost 390 inf + 866 316.493 * * [simplify]: Extracting #8: cost 233 inf + 43291 316.525 * * [simplify]: Extracting #9: cost 41 inf + 117988 316.552 * * [simplify]: Extracting #10: cost 8 inf + 132707 316.585 * * [simplify]: Extracting #11: cost 3 inf + 136398 316.635 * * [simplify]: Extracting #12: cost 0 inf + 141033 316.685 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 316.686 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 316.687 * * * * [progress]: [ 837 / 4754 ] simplifiying candidate # 316.687 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 316.688 * * [simplify]: iters left: 6 (46 enodes) 316.713 * * [simplify]: iters left: 5 (240 enodes) 316.800 * * [simplify]: Extracting #0: cost 1 inf + 0 316.800 * * [simplify]: Extracting #1: cost 3 inf + 0 316.800 * * [simplify]: Extracting #2: cost 6 inf + 0 316.800 * * [simplify]: Extracting #3: cost 10 inf + 0 316.800 * * [simplify]: Extracting #4: cost 16 inf + 0 316.800 * * [simplify]: Extracting #5: cost 105 inf + 0 316.801 * * [simplify]: Extracting #6: cost 278 inf + 0 316.804 * * [simplify]: Extracting #7: cost 335 inf + 1433 316.813 * * [simplify]: Extracting #8: cost 199 inf + 30752 316.833 * * [simplify]: Extracting #9: cost 117 inf + 57326 316.872 * * [simplify]: Extracting #10: cost 31 inf + 101628 316.915 * * [simplify]: Extracting #11: cost 0 inf + 123977 316.941 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 316.941 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 316.941 * * * * [progress]: [ 838 / 4754 ] simplifiying candidate # 316.942 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 316.942 * * [simplify]: iters left: 6 (48 enodes) 316.960 * * [simplify]: iters left: 5 (250 enodes) 317.063 * * [simplify]: Extracting #0: cost 1 inf + 0 317.063 * * [simplify]: Extracting #1: cost 3 inf + 0 317.063 * * [simplify]: Extracting #2: cost 6 inf + 0 317.063 * * [simplify]: Extracting #3: cost 10 inf + 0 317.063 * * [simplify]: Extracting #4: cost 16 inf + 0 317.063 * * [simplify]: Extracting #5: cost 116 inf + 0 317.065 * * [simplify]: Extracting #6: cost 287 inf + 0 317.067 * * [simplify]: Extracting #7: cost 364 inf + 660 317.075 * * [simplify]: Extracting #8: cost 241 inf + 24973 317.102 * * [simplify]: Extracting #9: cost 95 inf + 82201 317.152 * * [simplify]: Extracting #10: cost 8 inf + 128535 317.200 * * [simplify]: Extracting #11: cost 0 inf + 132972 317.248 * * [simplify]: Extracting #12: cost 0 inf + 132772 317.276 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))))) 317.276 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 317.277 * * * * [progress]: [ 839 / 4754 ] simplifiying candidate # 317.277 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 317.277 * * [simplify]: iters left: 6 (48 enodes) 317.299 * * [simplify]: iters left: 5 (256 enodes) 317.419 * * [simplify]: Extracting #0: cost 1 inf + 0 317.419 * * [simplify]: Extracting #1: cost 3 inf + 0 317.419 * * [simplify]: Extracting #2: cost 6 inf + 0 317.419 * * [simplify]: Extracting #3: cost 10 inf + 0 317.419 * * [simplify]: Extracting #4: cost 16 inf + 0 317.419 * * [simplify]: Extracting #5: cost 115 inf + 0 317.420 * * [simplify]: Extracting #6: cost 305 inf + 0 317.421 * * [simplify]: Extracting #7: cost 363 inf + 1272 317.425 * * [simplify]: Extracting #8: cost 236 inf + 23954 317.441 * * [simplify]: Extracting #9: cost 59 inf + 92194 317.462 * * [simplify]: Extracting #10: cost 8 inf + 118201 317.489 * * [simplify]: Extracting #11: cost 0 inf + 125122 317.512 * * [simplify]: Extracting #12: cost 0 inf + 125042 317.535 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 317.535 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 317.535 * * * * [progress]: [ 840 / 4754 ] simplifiying candidate # 317.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 317.536 * * [simplify]: iters left: 6 (48 enodes) 317.549 * * [simplify]: iters left: 5 (252 enodes) 317.641 * * [simplify]: Extracting #0: cost 1 inf + 0 317.641 * * [simplify]: Extracting #1: cost 3 inf + 0 317.641 * * [simplify]: Extracting #2: cost 6 inf + 0 317.641 * * [simplify]: Extracting #3: cost 10 inf + 0 317.641 * * [simplify]: Extracting #4: cost 20 inf + 0 317.642 * * [simplify]: Extracting #5: cost 135 inf + 0 317.642 * * [simplify]: Extracting #6: cost 304 inf + 1 317.644 * * [simplify]: Extracting #7: cost 362 inf + 1111 317.649 * * [simplify]: Extracting #8: cost 208 inf + 37411 317.667 * * [simplify]: Extracting #9: cost 38 inf + 107305 317.711 * * [simplify]: Extracting #10: cost 0 inf + 132610 317.757 * * [simplify]: Extracting #11: cost 0 inf + 130610 317.798 * * [simplify]: Extracting #12: cost 0 inf + 130410 317.845 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 317.845 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 317.847 * * * * [progress]: [ 841 / 4754 ] simplifiying candidate # 317.847 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 317.848 * * [simplify]: iters left: 6 (48 enodes) 317.877 * * [simplify]: iters left: 5 (252 enodes) 317.997 * * [simplify]: Extracting #0: cost 1 inf + 0 317.997 * * [simplify]: Extracting #1: cost 3 inf + 0 317.997 * * [simplify]: Extracting #2: cost 6 inf + 0 317.997 * * [simplify]: Extracting #3: cost 10 inf + 0 317.997 * * [simplify]: Extracting #4: cost 20 inf + 0 317.997 * * [simplify]: Extracting #5: cost 125 inf + 0 317.999 * * [simplify]: Extracting #6: cost 292 inf + 44 318.001 * * [simplify]: Extracting #7: cost 349 inf + 1681 318.011 * * [simplify]: Extracting #8: cost 193 inf + 35798 318.041 * * [simplify]: Extracting #9: cost 48 inf + 92970 318.082 * * [simplify]: Extracting #10: cost 9 inf + 113025 318.124 * * [simplify]: Extracting #11: cost 1 inf + 118133 318.148 * * [simplify]: Extracting #12: cost 0 inf + 119718 318.184 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 318.184 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 318.185 * * * * [progress]: [ 842 / 4754 ] simplifiying candidate # 318.186 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 318.186 * * [simplify]: iters left: 6 (48 enodes) 318.212 * * [simplify]: iters left: 5 (252 enodes) 318.313 * * [simplify]: Extracting #0: cost 1 inf + 0 318.313 * * [simplify]: Extracting #1: cost 3 inf + 0 318.313 * * [simplify]: Extracting #2: cost 6 inf + 0 318.313 * * [simplify]: Extracting #3: cost 10 inf + 0 318.313 * * [simplify]: Extracting #4: cost 20 inf + 0 318.313 * * [simplify]: Extracting #5: cost 135 inf + 0 318.315 * * [simplify]: Extracting #6: cost 304 inf + 1 318.317 * * [simplify]: Extracting #7: cost 362 inf + 1111 318.328 * * [simplify]: Extracting #8: cost 206 inf + 38036 318.359 * * [simplify]: Extracting #9: cost 39 inf + 107381 318.998 * * [simplify]: Extracting #10: cost 0 inf + 133290 319.046 * * [simplify]: Extracting #11: cost 0 inf + 131290 319.089 * * [simplify]: Extracting #12: cost 0 inf + 131050 319.136 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 319.136 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 319.138 * * * * [progress]: [ 843 / 4754 ] simplifiying candidate # 319.138 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 319.139 * * [simplify]: iters left: 6 (48 enodes) 319.167 * * [simplify]: iters left: 5 (252 enodes) 319.288 * * [simplify]: Extracting #0: cost 1 inf + 0 319.288 * * [simplify]: Extracting #1: cost 3 inf + 0 319.288 * * [simplify]: Extracting #2: cost 6 inf + 0 319.288 * * [simplify]: Extracting #3: cost 10 inf + 0 319.288 * * [simplify]: Extracting #4: cost 20 inf + 0 319.289 * * [simplify]: Extracting #5: cost 124 inf + 0 319.290 * * [simplify]: Extracting #6: cost 292 inf + 44 319.293 * * [simplify]: Extracting #7: cost 350 inf + 1559 319.302 * * [simplify]: Extracting #8: cost 206 inf + 33047 319.323 * * [simplify]: Extracting #9: cost 47 inf + 93694 319.348 * * [simplify]: Extracting #10: cost 9 inf + 113225 319.391 * * [simplify]: Extracting #11: cost 1 inf + 118293 319.436 * * [simplify]: Extracting #12: cost 0 inf + 119958 319.464 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 319.464 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 319.465 * * * * [progress]: [ 844 / 4754 ] simplifiying candidate # 319.465 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 319.466 * * [simplify]: iters left: 6 (46 enodes) 319.479 * * [simplify]: iters left: 5 (231 enodes) 319.566 * * [simplify]: Extracting #0: cost 1 inf + 0 319.566 * * [simplify]: Extracting #1: cost 3 inf + 0 319.566 * * [simplify]: Extracting #2: cost 6 inf + 0 319.567 * * [simplify]: Extracting #3: cost 10 inf + 0 319.567 * * [simplify]: Extracting #4: cost 16 inf + 0 319.567 * * [simplify]: Extracting #5: cost 106 inf + 0 319.568 * * [simplify]: Extracting #6: cost 254 inf + 0 319.570 * * [simplify]: Extracting #7: cost 314 inf + 1067 319.577 * * [simplify]: Extracting #8: cost 199 inf + 20151 319.595 * * [simplify]: Extracting #9: cost 105 inf + 53992 319.627 * * [simplify]: Extracting #10: cost 19 inf + 98528 319.666 * * [simplify]: Extracting #11: cost 2 inf + 112421 319.703 * * [simplify]: Extracting #12: cost 0 inf + 115391 319.725 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 319.725 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 319.726 * * * * [progress]: [ 845 / 4754 ] simplifiying candidate # 319.727 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 319.727 * * [simplify]: iters left: 6 (40 enodes) 319.745 * * [simplify]: iters left: 5 (198 enodes) 319.806 * * [simplify]: Extracting #0: cost 1 inf + 0 319.806 * * [simplify]: Extracting #1: cost 4 inf + 0 319.806 * * [simplify]: Extracting #2: cost 7 inf + 0 319.806 * * [simplify]: Extracting #3: cost 10 inf + 0 319.806 * * [simplify]: Extracting #4: cost 64 inf + 0 319.807 * * [simplify]: Extracting #5: cost 193 inf + 0 319.807 * * [simplify]: Extracting #6: cost 236 inf + 950 319.811 * * [simplify]: Extracting #7: cost 130 inf + 19955 319.819 * * [simplify]: Extracting #8: cost 48 inf + 51500 319.832 * * [simplify]: Extracting #9: cost 9 inf + 72164 319.856 * * [simplify]: Extracting #10: cost 2 inf + 75685 319.870 * * [simplify]: Extracting #11: cost 0 inf + 78295 319.888 * [simplify]: Simplified to (fabs (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 319.888 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 319.890 * * * * [progress]: [ 846 / 4754 ] simplifiying candidate # 319.890 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 319.891 * * [simplify]: iters left: 6 (46 enodes) 319.915 * * [simplify]: iters left: 5 (229 enodes) 319.971 * * [simplify]: Extracting #0: cost 1 inf + 0 319.971 * * [simplify]: Extracting #1: cost 4 inf + 0 319.971 * * [simplify]: Extracting #2: cost 7 inf + 0 319.971 * * [simplify]: Extracting #3: cost 10 inf + 0 319.972 * * [simplify]: Extracting #4: cost 79 inf + 0 319.972 * * [simplify]: Extracting #5: cost 226 inf + 0 319.978 * * [simplify]: Extracting #6: cost 277 inf + 866 319.981 * * [simplify]: Extracting #7: cost 162 inf + 20036 319.994 * * [simplify]: Extracting #8: cost 54 inf + 70716 320.011 * * [simplify]: Extracting #9: cost 8 inf + 94150 320.036 * * [simplify]: Extracting #10: cost 0 inf + 99800 320.061 * * [simplify]: Extracting #11: cost 0 inf + 99640 320.080 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 320.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 320.080 * * * * [progress]: [ 847 / 4754 ] simplifiying candidate # 320.081 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 320.082 * * [simplify]: iters left: 6 (46 enodes) 320.108 * * [simplify]: iters left: 5 (233 enodes) 320.186 * * [simplify]: Extracting #0: cost 1 inf + 0 320.186 * * [simplify]: Extracting #1: cost 3 inf + 0 320.186 * * [simplify]: Extracting #2: cost 6 inf + 0 320.186 * * [simplify]: Extracting #3: cost 10 inf + 0 320.186 * * [simplify]: Extracting #4: cost 16 inf + 0 320.186 * * [simplify]: Extracting #5: cost 101 inf + 0 320.187 * * [simplify]: Extracting #6: cost 259 inf + 0 320.188 * * [simplify]: Extracting #7: cost 307 inf + 582 320.190 * * [simplify]: Extracting #8: cost 215 inf + 13652 320.197 * * [simplify]: Extracting #9: cost 108 inf + 47962 320.217 * * [simplify]: Extracting #10: cost 38 inf + 78932 320.242 * * [simplify]: Extracting #11: cost 4 inf + 101943 320.263 * * [simplify]: Extracting #12: cost 0 inf + 107843 320.304 * * [simplify]: Extracting #13: cost 0 inf + 107683 320.332 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 320.332 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 320.333 * * * * [progress]: [ 848 / 4754 ] simplifiying candidate # 320.333 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 320.333 * * [simplify]: iters left: 6 (46 enodes) 320.347 * * [simplify]: iters left: 5 (232 enodes) 320.424 * * [simplify]: Extracting #0: cost 1 inf + 0 320.424 * * [simplify]: Extracting #1: cost 3 inf + 0 320.424 * * [simplify]: Extracting #2: cost 6 inf + 0 320.424 * * [simplify]: Extracting #3: cost 10 inf + 0 320.424 * * [simplify]: Extracting #4: cost 20 inf + 0 320.425 * * [simplify]: Extracting #5: cost 126 inf + 0 320.425 * * [simplify]: Extracting #6: cost 266 inf + 1 320.426 * * [simplify]: Extracting #7: cost 311 inf + 985 320.430 * * [simplify]: Extracting #8: cost 183 inf + 24721 320.449 * * [simplify]: Extracting #9: cost 52 inf + 83231 320.486 * * [simplify]: Extracting #10: cost 5 inf + 106639 320.526 * * [simplify]: Extracting #11: cost 0 inf + 112242 320.553 * * [simplify]: Extracting #12: cost 0 inf + 111922 320.579 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 320.580 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 320.581 * * * * [progress]: [ 849 / 4754 ] simplifiying candidate # 320.581 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 320.582 * * [simplify]: iters left: 6 (46 enodes) 320.606 * * [simplify]: iters left: 5 (233 enodes) 320.708 * * [simplify]: Extracting #0: cost 1 inf + 0 320.708 * * [simplify]: Extracting #1: cost 3 inf + 0 320.708 * * [simplify]: Extracting #2: cost 6 inf + 0 320.708 * * [simplify]: Extracting #3: cost 10 inf + 0 320.708 * * [simplify]: Extracting #4: cost 20 inf + 0 320.708 * * [simplify]: Extracting #5: cost 117 inf + 0 320.709 * * [simplify]: Extracting #6: cost 264 inf + 44 320.710 * * [simplify]: Extracting #7: cost 308 inf + 1155 320.715 * * [simplify]: Extracting #8: cost 178 inf + 25120 320.727 * * [simplify]: Extracting #9: cost 62 inf + 72096 320.746 * * [simplify]: Extracting #10: cost 14 inf + 94097 320.770 * * [simplify]: Extracting #11: cost 3 inf + 102147 320.808 * * [simplify]: Extracting #12: cost 0 inf + 106862 320.846 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) 320.846 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 320.847 * * * * [progress]: [ 850 / 4754 ] simplifiying candidate # 320.848 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 320.848 * * [simplify]: iters left: 6 (46 enodes) 320.872 * * [simplify]: iters left: 5 (231 enodes) 320.980 * * [simplify]: Extracting #0: cost 1 inf + 0 320.980 * * [simplify]: Extracting #1: cost 3 inf + 0 320.980 * * [simplify]: Extracting #2: cost 6 inf + 0 320.980 * * [simplify]: Extracting #3: cost 10 inf + 0 320.980 * * [simplify]: Extracting #4: cost 20 inf + 0 320.980 * * [simplify]: Extracting #5: cost 127 inf + 0 320.981 * * [simplify]: Extracting #6: cost 261 inf + 1 320.984 * * [simplify]: Extracting #7: cost 304 inf + 1029 320.993 * * [simplify]: Extracting #8: cost 172 inf + 28919 321.020 * * [simplify]: Extracting #9: cost 51 inf + 81437 321.058 * * [simplify]: Extracting #10: cost 6 inf + 107504 321.079 * * [simplify]: Extracting #11: cost 0 inf + 111066 321.114 * * [simplify]: Extracting #12: cost 0 inf + 110946 321.138 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 321.138 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 321.139 * * * * [progress]: [ 851 / 4754 ] simplifiying candidate # 321.140 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 321.140 * * [simplify]: iters left: 6 (46 enodes) 321.154 * * [simplify]: iters left: 5 (233 enodes) 321.251 * * [simplify]: Extracting #0: cost 1 inf + 0 321.251 * * [simplify]: Extracting #1: cost 3 inf + 0 321.251 * * [simplify]: Extracting #2: cost 6 inf + 0 321.251 * * [simplify]: Extracting #3: cost 10 inf + 0 321.251 * * [simplify]: Extracting #4: cost 20 inf + 0 321.252 * * [simplify]: Extracting #5: cost 116 inf + 0 321.253 * * [simplify]: Extracting #6: cost 264 inf + 44 321.255 * * [simplify]: Extracting #7: cost 308 inf + 1155 321.262 * * [simplify]: Extracting #8: cost 199 inf + 18510 321.277 * * [simplify]: Extracting #9: cost 114 inf + 47573 321.300 * * [simplify]: Extracting #10: cost 31 inf + 84192 321.318 * * [simplify]: Extracting #11: cost 3 inf + 102467 321.345 * * [simplify]: Extracting #12: cost 0 inf + 107182 321.366 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) 321.366 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 321.367 * * * * [progress]: [ 852 / 4754 ] simplifiying candidate # 321.368 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 321.369 * * [simplify]: iters left: 6 (48 enodes) 321.382 * * [simplify]: iters left: 5 (247 enodes) 321.477 * * [simplify]: Extracting #0: cost 1 inf + 0 321.477 * * [simplify]: Extracting #1: cost 3 inf + 0 321.477 * * [simplify]: Extracting #2: cost 6 inf + 0 321.477 * * [simplify]: Extracting #3: cost 10 inf + 0 321.477 * * [simplify]: Extracting #4: cost 16 inf + 0 321.477 * * [simplify]: Extracting #5: cost 126 inf + 0 321.478 * * [simplify]: Extracting #6: cost 282 inf + 0 321.479 * * [simplify]: Extracting #7: cost 346 inf + 1229 321.484 * * [simplify]: Extracting #8: cost 200 inf + 31376 321.502 * * [simplify]: Extracting #9: cost 83 inf + 83591 321.534 * * [simplify]: Extracting #10: cost 2 inf + 131328 321.559 * * [simplify]: Extracting #11: cost 0 inf + 130805 321.606 * * [simplify]: Extracting #12: cost 0 inf + 130605 321.655 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 321.655 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 321.657 * * * * [progress]: [ 853 / 4754 ] simplifiying candidate # 321.657 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 321.658 * * [simplify]: iters left: 6 (46 enodes) 321.684 * * [simplify]: iters left: 5 (233 enodes) 321.787 * * [simplify]: Extracting #0: cost 1 inf + 0 321.787 * * [simplify]: Extracting #1: cost 3 inf + 0 321.787 * * [simplify]: Extracting #2: cost 5 inf + 0 321.787 * * [simplify]: Extracting #3: cost 7 inf + 0 321.787 * * [simplify]: Extracting #4: cost 10 inf + 0 321.787 * * [simplify]: Extracting #5: cost 73 inf + 0 321.787 * * [simplify]: Extracting #6: cost 223 inf + 0 321.788 * * [simplify]: Extracting #7: cost 272 inf + 1066 321.792 * * [simplify]: Extracting #8: cost 169 inf + 18399 321.800 * * [simplify]: Extracting #9: cost 92 inf + 44269 321.818 * * [simplify]: Extracting #10: cost 27 inf + 75231 321.847 * * [simplify]: Extracting #11: cost 1 inf + 91869 321.864 * * [simplify]: Extracting #12: cost 0 inf + 93014 321.884 * * [simplify]: Extracting #13: cost 0 inf + 92974 321.920 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 321.920 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 321.921 * * * * [progress]: [ 854 / 4754 ] simplifiying candidate # 321.922 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 321.922 * * [simplify]: iters left: 6 (48 enodes) 321.941 * * [simplify]: iters left: 5 (242 enodes) 322.021 * * [simplify]: Extracting #0: cost 1 inf + 0 322.021 * * [simplify]: Extracting #1: cost 3 inf + 0 322.021 * * [simplify]: Extracting #2: cost 5 inf + 0 322.021 * * [simplify]: Extracting #3: cost 7 inf + 0 322.021 * * [simplify]: Extracting #4: cost 10 inf + 0 322.021 * * [simplify]: Extracting #5: cost 80 inf + 0 322.022 * * [simplify]: Extracting #6: cost 246 inf + 0 322.023 * * [simplify]: Extracting #7: cost 304 inf + 782 322.026 * * [simplify]: Extracting #8: cost 189 inf + 21435 322.035 * * [simplify]: Extracting #9: cost 123 inf + 41568 322.062 * * [simplify]: Extracting #10: cost 29 inf + 85487 322.081 * * [simplify]: Extracting #11: cost 3 inf + 102814 322.103 * * [simplify]: Extracting #12: cost 1 inf + 105464 322.134 * * [simplify]: Extracting #13: cost 0 inf + 106809 322.173 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 322.173 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 322.174 * * * * [progress]: [ 855 / 4754 ] simplifiying candidate # 322.175 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 322.176 * * [simplify]: iters left: 6 (48 enodes) 322.204 * * [simplify]: iters left: 5 (247 enodes) 322.305 * * [simplify]: Extracting #0: cost 1 inf + 0 322.305 * * [simplify]: Extracting #1: cost 3 inf + 0 322.305 * * [simplify]: Extracting #2: cost 6 inf + 0 322.305 * * [simplify]: Extracting #3: cost 10 inf + 0 322.305 * * [simplify]: Extracting #4: cost 16 inf + 0 322.306 * * [simplify]: Extracting #5: cost 123 inf + 0 322.306 * * [simplify]: Extracting #6: cost 290 inf + 0 322.308 * * [simplify]: Extracting #7: cost 341 inf + 784 322.316 * * [simplify]: Extracting #8: cost 211 inf + 25960 322.348 * * [simplify]: Extracting #9: cost 90 inf + 82586 322.371 * * [simplify]: Extracting #10: cost 2 inf + 128000 322.415 * * [simplify]: Extracting #11: cost 1 inf + 125745 322.461 * * [simplify]: Extracting #12: cost 0 inf + 127370 322.507 * * [simplify]: Extracting #13: cost 0 inf + 127250 322.531 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 322.531 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 322.532 * * * * [progress]: [ 856 / 4754 ] simplifiying candidate # 322.532 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 322.533 * * [simplify]: iters left: 6 (48 enodes) 322.546 * * [simplify]: iters left: 5 (247 enodes) 322.659 * * [simplify]: Extracting #0: cost 1 inf + 0 322.659 * * [simplify]: Extracting #1: cost 3 inf + 0 322.659 * * [simplify]: Extracting #2: cost 6 inf + 0 322.659 * * [simplify]: Extracting #3: cost 10 inf + 0 322.659 * * [simplify]: Extracting #4: cost 20 inf + 0 322.660 * * [simplify]: Extracting #5: cost 158 inf + 0 322.661 * * [simplify]: Extracting #6: cost 301 inf + 1 322.663 * * [simplify]: Extracting #7: cost 354 inf + 659 322.675 * * [simplify]: Extracting #8: cost 201 inf + 42026 322.714 * * [simplify]: Extracting #9: cost 41 inf + 112357 322.764 * * [simplify]: Extracting #10: cost 4 inf + 129109 322.805 * * [simplify]: Extracting #11: cost 1 inf + 129902 322.829 * * [simplify]: Extracting #12: cost 0 inf + 131367 322.872 * * [simplify]: Extracting #13: cost 0 inf + 131247 322.914 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 322.915 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 322.915 * * * * [progress]: [ 857 / 4754 ] simplifiying candidate # 322.916 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 322.916 * * [simplify]: iters left: 6 (48 enodes) 322.929 * * [simplify]: iters left: 5 (247 enodes) 322.993 * * [simplify]: Extracting #0: cost 1 inf + 0 322.993 * * [simplify]: Extracting #1: cost 3 inf + 0 322.993 * * [simplify]: Extracting #2: cost 6 inf + 0 322.993 * * [simplify]: Extracting #3: cost 10 inf + 0 322.993 * * [simplify]: Extracting #4: cost 20 inf + 0 322.993 * * [simplify]: Extracting #5: cost 140 inf + 0 322.994 * * [simplify]: Extracting #6: cost 296 inf + 44 322.995 * * [simplify]: Extracting #7: cost 337 inf + 2372 323.002 * * [simplify]: Extracting #8: cost 186 inf + 43307 323.026 * * [simplify]: Extracting #9: cost 35 inf + 110287 323.057 * * [simplify]: Extracting #10: cost 1 inf + 124185 323.095 * * [simplify]: Extracting #11: cost 0 inf + 123130 323.135 * * [simplify]: Extracting #12: cost 0 inf + 122970 323.174 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 323.174 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 323.175 * * * * [progress]: [ 858 / 4754 ] simplifiying candidate # 323.175 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 323.176 * * [simplify]: iters left: 6 (48 enodes) 323.199 * * [simplify]: iters left: 5 (247 enodes) 323.304 * * [simplify]: Extracting #0: cost 1 inf + 0 323.304 * * [simplify]: Extracting #1: cost 3 inf + 0 323.304 * * [simplify]: Extracting #2: cost 6 inf + 0 323.304 * * [simplify]: Extracting #3: cost 10 inf + 0 323.305 * * [simplify]: Extracting #4: cost 20 inf + 0 323.305 * * [simplify]: Extracting #5: cost 158 inf + 0 323.306 * * [simplify]: Extracting #6: cost 295 inf + 1 323.308 * * [simplify]: Extracting #7: cost 340 inf + 1354 323.317 * * [simplify]: Extracting #8: cost 218 inf + 26559 323.343 * * [simplify]: Extracting #9: cost 105 inf + 74321 323.367 * * [simplify]: Extracting #10: cost 6 inf + 128636 323.408 * * [simplify]: Extracting #11: cost 0 inf + 130587 323.458 * * [simplify]: Extracting #12: cost 0 inf + 130467 323.484 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))))) 323.485 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 323.485 * * * * [progress]: [ 859 / 4754 ] simplifiying candidate # 323.485 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 323.486 * * [simplify]: iters left: 6 (48 enodes) 323.501 * * [simplify]: iters left: 5 (247 enodes) 323.622 * * [simplify]: Extracting #0: cost 1 inf + 0 323.622 * * [simplify]: Extracting #1: cost 3 inf + 0 323.622 * * [simplify]: Extracting #2: cost 6 inf + 0 323.622 * * [simplify]: Extracting #3: cost 10 inf + 0 323.622 * * [simplify]: Extracting #4: cost 20 inf + 0 323.623 * * [simplify]: Extracting #5: cost 140 inf + 0 323.623 * * [simplify]: Extracting #6: cost 296 inf + 44 323.625 * * [simplify]: Extracting #7: cost 338 inf + 2207 323.632 * * [simplify]: Extracting #8: cost 197 inf + 41039 323.652 * * [simplify]: Extracting #9: cost 32 inf + 113156 323.696 * * [simplify]: Extracting #10: cost 0 inf + 126530 323.738 * * [simplify]: Extracting #11: cost 0 inf + 123690 323.762 * * [simplify]: Extracting #12: cost 0 inf + 123610 323.803 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 323.803 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 323.805 * * * * [progress]: [ 860 / 4754 ] simplifiying candidate # 323.806 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 323.807 * * [simplify]: iters left: 6 (48 enodes) 323.833 * * [simplify]: iters left: 5 (255 enodes) 323.964 * * [simplify]: Extracting #0: cost 1 inf + 0 323.964 * * [simplify]: Extracting #1: cost 3 inf + 0 323.964 * * [simplify]: Extracting #2: cost 6 inf + 0 323.964 * * [simplify]: Extracting #3: cost 10 inf + 0 323.965 * * [simplify]: Extracting #4: cost 16 inf + 0 323.965 * * [simplify]: Extracting #5: cost 118 inf + 0 323.966 * * [simplify]: Extracting #6: cost 314 inf + 0 323.969 * * [simplify]: Extracting #7: cost 372 inf + 1391 323.983 * * [simplify]: Extracting #8: cost 202 inf + 44636 324.009 * * [simplify]: Extracting #9: cost 36 inf + 109877 324.044 * * [simplify]: Extracting #10: cost 5 inf + 125126 324.075 * * [simplify]: Extracting #11: cost 0 inf + 128303 324.105 * * [simplify]: Extracting #12: cost 0 inf + 128223 324.140 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 324.140 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 324.140 * * * * [progress]: [ 861 / 4754 ] simplifiying candidate # 324.141 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 324.141 * * [simplify]: iters left: 6 (46 enodes) 324.154 * * [simplify]: iters left: 5 (237 enodes) 324.224 * * [simplify]: Extracting #0: cost 1 inf + 0 324.224 * * [simplify]: Extracting #1: cost 3 inf + 0 324.224 * * [simplify]: Extracting #2: cost 6 inf + 0 324.224 * * [simplify]: Extracting #3: cost 10 inf + 0 324.224 * * [simplify]: Extracting #4: cost 16 inf + 0 324.224 * * [simplify]: Extracting #5: cost 106 inf + 0 324.225 * * [simplify]: Extracting #6: cost 270 inf + 0 324.226 * * [simplify]: Extracting #7: cost 310 inf + 1634 324.229 * * [simplify]: Extracting #8: cost 201 inf + 18060 324.237 * * [simplify]: Extracting #9: cost 117 inf + 45128 324.251 * * [simplify]: Extracting #10: cost 38 inf + 79944 324.287 * * [simplify]: Extracting #11: cost 3 inf + 105353 324.325 * * [simplify]: Extracting #12: cost 0 inf + 109748 324.367 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 324.368 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 324.369 * * * * [progress]: [ 862 / 4754 ] simplifiying candidate # 324.369 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 324.370 * * [simplify]: iters left: 6 (48 enodes) 324.397 * * [simplify]: iters left: 5 (249 enodes) 324.490 * * [simplify]: Extracting #0: cost 1 inf + 0 324.490 * * [simplify]: Extracting #1: cost 3 inf + 0 324.490 * * [simplify]: Extracting #2: cost 6 inf + 0 324.490 * * [simplify]: Extracting #3: cost 10 inf + 0 324.490 * * [simplify]: Extracting #4: cost 16 inf + 0 324.490 * * [simplify]: Extracting #5: cost 113 inf + 0 324.491 * * [simplify]: Extracting #6: cost 268 inf + 0 324.494 * * [simplify]: Extracting #7: cost 323 inf + 1150 324.502 * * [simplify]: Extracting #8: cost 187 inf + 28169 324.531 * * [simplify]: Extracting #9: cost 52 inf + 86006 324.560 * * [simplify]: Extracting #10: cost 3 inf + 114081 324.589 * * [simplify]: Extracting #11: cost 0 inf + 114717 324.620 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 324.620 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 324.621 * * * * [progress]: [ 863 / 4754 ] simplifiying candidate # 324.621 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 324.621 * * [simplify]: iters left: 6 (48 enodes) 324.635 * * [simplify]: iters left: 5 (255 enodes) 324.736 * * [simplify]: Extracting #0: cost 1 inf + 0 324.736 * * [simplify]: Extracting #1: cost 3 inf + 0 324.736 * * [simplify]: Extracting #2: cost 6 inf + 0 324.736 * * [simplify]: Extracting #3: cost 10 inf + 0 324.736 * * [simplify]: Extracting #4: cost 16 inf + 0 324.737 * * [simplify]: Extracting #5: cost 115 inf + 0 324.737 * * [simplify]: Extracting #6: cost 304 inf + 0 324.738 * * [simplify]: Extracting #7: cost 349 inf + 906 324.744 * * [simplify]: Extracting #8: cost 199 inf + 36751 324.768 * * [simplify]: Extracting #9: cost 39 inf + 90496 324.788 * * [simplify]: Extracting #10: cost 6 inf + 104918 324.827 * * [simplify]: Extracting #11: cost 2 inf + 108978 324.869 * * [simplify]: Extracting #12: cost 0 inf + 112188 324.911 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 324.911 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 324.912 * * * * [progress]: [ 864 / 4754 ] simplifiying candidate # 324.912 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 324.913 * * [simplify]: iters left: 6 (48 enodes) 324.930 * * [simplify]: iters left: 5 (251 enodes) 325.024 * * [simplify]: Extracting #0: cost 1 inf + 0 325.024 * * [simplify]: Extracting #1: cost 3 inf + 0 325.024 * * [simplify]: Extracting #2: cost 6 inf + 0 325.024 * * [simplify]: Extracting #3: cost 10 inf + 0 325.024 * * [simplify]: Extracting #4: cost 20 inf + 0 325.024 * * [simplify]: Extracting #5: cost 135 inf + 0 325.026 * * [simplify]: Extracting #6: cost 304 inf + 1 325.028 * * [simplify]: Extracting #7: cost 347 inf + 1190 325.039 * * [simplify]: Extracting #8: cost 188 inf + 34978 325.068 * * [simplify]: Extracting #9: cost 52 inf + 90185 325.092 * * [simplify]: Extracting #10: cost 5 inf + 114674 325.125 * * [simplify]: Extracting #11: cost 0 inf + 118680 325.150 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 325.150 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 325.151 * * * * [progress]: [ 865 / 4754 ] simplifiying candidate # 325.152 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 325.152 * * [simplify]: iters left: 6 (48 enodes) 325.172 * * [simplify]: iters left: 5 (251 enodes) 325.263 * * [simplify]: Extracting #0: cost 1 inf + 0 325.263 * * [simplify]: Extracting #1: cost 3 inf + 0 325.263 * * [simplify]: Extracting #2: cost 6 inf + 0 325.263 * * [simplify]: Extracting #3: cost 10 inf + 0 325.263 * * [simplify]: Extracting #4: cost 20 inf + 0 325.264 * * [simplify]: Extracting #5: cost 125 inf + 0 325.265 * * [simplify]: Extracting #6: cost 291 inf + 44 325.267 * * [simplify]: Extracting #7: cost 335 inf + 1356 325.275 * * [simplify]: Extracting #8: cost 218 inf + 18970 325.297 * * [simplify]: Extracting #9: cost 118 inf + 50586 325.330 * * [simplify]: Extracting #10: cost 21 inf + 94431 325.368 * * [simplify]: Extracting #11: cost 1 inf + 107039 325.407 * * [simplify]: Extracting #12: cost 0 inf + 108824 325.445 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 325.446 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 325.447 * * * * [progress]: [ 866 / 4754 ] simplifiying candidate # 325.448 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 325.448 * * [simplify]: iters left: 6 (48 enodes) 325.465 * * [simplify]: iters left: 5 (251 enodes) 325.535 * * [simplify]: Extracting #0: cost 1 inf + 0 325.535 * * [simplify]: Extracting #1: cost 3 inf + 0 325.535 * * [simplify]: Extracting #2: cost 6 inf + 0 325.535 * * [simplify]: Extracting #3: cost 10 inf + 0 325.535 * * [simplify]: Extracting #4: cost 20 inf + 0 325.535 * * [simplify]: Extracting #5: cost 135 inf + 0 325.536 * * [simplify]: Extracting #6: cost 304 inf + 1 325.537 * * [simplify]: Extracting #7: cost 347 inf + 1190 325.543 * * [simplify]: Extracting #8: cost 187 inf + 35303 325.563 * * [simplify]: Extracting #9: cost 51 inf + 90829 325.588 * * [simplify]: Extracting #10: cost 5 inf + 115314 325.615 * * [simplify]: Extracting #11: cost 0 inf + 119320 325.646 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 325.646 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 325.647 * * * * [progress]: [ 867 / 4754 ] simplifiying candidate # 325.647 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 325.648 * * [simplify]: iters left: 6 (48 enodes) 325.661 * * [simplify]: iters left: 5 (251 enodes) 325.743 * * [simplify]: Extracting #0: cost 1 inf + 0 325.743 * * [simplify]: Extracting #1: cost 3 inf + 0 325.743 * * [simplify]: Extracting #2: cost 6 inf + 0 325.743 * * [simplify]: Extracting #3: cost 10 inf + 0 325.743 * * [simplify]: Extracting #4: cost 20 inf + 0 325.743 * * [simplify]: Extracting #5: cost 124 inf + 0 325.744 * * [simplify]: Extracting #6: cost 291 inf + 44 325.745 * * [simplify]: Extracting #7: cost 335 inf + 1356 325.750 * * [simplify]: Extracting #8: cost 220 inf + 18443 325.759 * * [simplify]: Extracting #9: cost 116 inf + 51354 325.774 * * [simplify]: Extracting #10: cost 21 inf + 94671 325.807 * * [simplify]: Extracting #11: cost 1 inf + 107279 325.837 * * [simplify]: Extracting #12: cost 0 inf + 109064 325.859 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 325.859 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 325.860 * * * * [progress]: [ 868 / 4754 ] simplifiying candidate # 325.860 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 325.860 * * [simplify]: iters left: 6 (49 enodes) 325.882 * * [simplify]: iters left: 5 (247 enodes) 325.988 * * [simplify]: Extracting #0: cost 1 inf + 0 325.988 * * [simplify]: Extracting #1: cost 3 inf + 0 325.988 * * [simplify]: Extracting #2: cost 6 inf + 0 325.988 * * [simplify]: Extracting #3: cost 10 inf + 0 325.988 * * [simplify]: Extracting #4: cost 16 inf + 0 325.988 * * [simplify]: Extracting #5: cost 114 inf + 0 325.989 * * [simplify]: Extracting #6: cost 290 inf + 0 325.990 * * [simplify]: Extracting #7: cost 350 inf + 1151 325.995 * * [simplify]: Extracting #8: cost 202 inf + 31516 326.016 * * [simplify]: Extracting #9: cost 66 inf + 92394 326.058 * * [simplify]: Extracting #10: cost 5 inf + 128146 326.084 * * [simplify]: Extracting #11: cost 0 inf + 130392 326.111 * * [simplify]: Extracting #12: cost 0 inf + 130312 326.157 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 326.157 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 326.158 * * * * [progress]: [ 869 / 4754 ] simplifiying candidate # 326.159 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 326.159 * * [simplify]: iters left: 6 (47 enodes) 326.182 * * [simplify]: iters left: 5 (235 enodes) 326.256 * * [simplify]: Extracting #0: cost 1 inf + 0 326.256 * * [simplify]: Extracting #1: cost 3 inf + 0 326.256 * * [simplify]: Extracting #2: cost 6 inf + 0 326.256 * * [simplify]: Extracting #3: cost 10 inf + 0 326.256 * * [simplify]: Extracting #4: cost 16 inf + 0 326.257 * * [simplify]: Extracting #5: cost 108 inf + 0 326.258 * * [simplify]: Extracting #6: cost 273 inf + 0 326.259 * * [simplify]: Extracting #7: cost 315 inf + 1275 326.263 * * [simplify]: Extracting #8: cost 210 inf + 19022 326.270 * * [simplify]: Extracting #9: cost 138 inf + 45705 326.290 * * [simplify]: Extracting #10: cost 45 inf + 87233 326.329 * * [simplify]: Extracting #11: cost 6 inf + 112249 326.362 * * [simplify]: Extracting #12: cost 1 inf + 119334 326.387 * * [simplify]: Extracting #13: cost 0 inf + 121079 326.423 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))))) 326.424 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 326.424 * * * * [progress]: [ 870 / 4754 ] simplifiying candidate # 326.426 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 326.428 * * [simplify]: iters left: 6 (49 enodes) 326.442 * * [simplify]: iters left: 5 (245 enodes) 326.545 * * [simplify]: Extracting #0: cost 1 inf + 0 326.545 * * [simplify]: Extracting #1: cost 3 inf + 0 326.545 * * [simplify]: Extracting #2: cost 6 inf + 0 326.545 * * [simplify]: Extracting #3: cost 10 inf + 0 326.545 * * [simplify]: Extracting #4: cost 16 inf + 0 326.546 * * [simplify]: Extracting #5: cost 122 inf + 0 326.546 * * [simplify]: Extracting #6: cost 286 inf + 0 326.547 * * [simplify]: Extracting #7: cost 343 inf + 1311 326.551 * * [simplify]: Extracting #8: cost 229 inf + 21408 326.569 * * [simplify]: Extracting #9: cost 110 inf + 72352 326.591 * * [simplify]: Extracting #10: cost 20 inf + 114128 326.621 * * [simplify]: Extracting #11: cost 3 inf + 126512 326.649 * * [simplify]: Extracting #12: cost 0 inf + 130867 326.695 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 326.695 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 326.697 * * * * [progress]: [ 871 / 4754 ] simplifiying candidate # 326.697 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 326.698 * * [simplify]: iters left: 6 (49 enodes) 326.718 * * [simplify]: iters left: 5 (247 enodes) 326.788 * * [simplify]: Extracting #0: cost 1 inf + 0 326.788 * * [simplify]: Extracting #1: cost 3 inf + 0 326.788 * * [simplify]: Extracting #2: cost 6 inf + 0 326.788 * * [simplify]: Extracting #3: cost 10 inf + 0 326.788 * * [simplify]: Extracting #4: cost 16 inf + 0 326.788 * * [simplify]: Extracting #5: cost 111 inf + 0 326.789 * * [simplify]: Extracting #6: cost 284 inf + 0 326.792 * * [simplify]: Extracting #7: cost 331 inf + 907 326.801 * * [simplify]: Extracting #8: cost 202 inf + 26519 326.817 * * [simplify]: Extracting #9: cost 61 inf + 83194 326.841 * * [simplify]: Extracting #10: cost 5 inf + 111558 326.869 * * [simplify]: Extracting #11: cost 0 inf + 115657 326.898 * * [simplify]: Extracting #12: cost 0 inf + 115297 326.920 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 326.920 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 326.922 * * * * [progress]: [ 872 / 4754 ] simplifiying candidate # 326.923 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 326.923 * * [simplify]: iters left: 6 (49 enodes) 326.948 * * [simplify]: iters left: 5 (247 enodes) 327.030 * * [simplify]: Extracting #0: cost 1 inf + 0 327.030 * * [simplify]: Extracting #1: cost 3 inf + 0 327.030 * * [simplify]: Extracting #2: cost 6 inf + 0 327.030 * * [simplify]: Extracting #3: cost 10 inf + 0 327.030 * * [simplify]: Extracting #4: cost 20 inf + 0 327.031 * * [simplify]: Extracting #5: cost 135 inf + 0 327.031 * * [simplify]: Extracting #6: cost 296 inf + 1 327.033 * * [simplify]: Extracting #7: cost 337 inf + 1438 327.036 * * [simplify]: Extracting #8: cost 241 inf + 17407 327.047 * * [simplify]: Extracting #9: cost 106 inf + 73038 327.080 * * [simplify]: Extracting #10: cost 5 inf + 123350 327.106 * * [simplify]: Extracting #11: cost 0 inf + 124023 327.137 * * [simplify]: Extracting #12: cost 0 inf + 123983 327.166 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 327.166 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 327.167 * * * * [progress]: [ 873 / 4754 ] simplifiying candidate # 327.167 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 327.168 * * [simplify]: iters left: 6 (49 enodes) 327.191 * * [simplify]: iters left: 5 (247 enodes) 327.264 * * [simplify]: Extracting #0: cost 1 inf + 0 327.264 * * [simplify]: Extracting #1: cost 3 inf + 0 327.264 * * [simplify]: Extracting #2: cost 6 inf + 0 327.264 * * [simplify]: Extracting #3: cost 10 inf + 0 327.265 * * [simplify]: Extracting #4: cost 20 inf + 0 327.265 * * [simplify]: Extracting #5: cost 127 inf + 0 327.265 * * [simplify]: Extracting #6: cost 285 inf + 86 327.267 * * [simplify]: Extracting #7: cost 323 inf + 2578 327.277 * * [simplify]: Extracting #8: cost 180 inf + 32481 327.299 * * [simplify]: Extracting #9: cost 45 inf + 91215 327.321 * * [simplify]: Extracting #10: cost 3 inf + 112160 327.361 * * [simplify]: Extracting #11: cost 0 inf + 114462 327.385 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 327.386 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 327.386 * * * * [progress]: [ 874 / 4754 ] simplifiying candidate # 327.386 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 327.387 * * [simplify]: iters left: 6 (49 enodes) 327.405 * * [simplify]: iters left: 5 (247 enodes) 327.474 * * [simplify]: Extracting #0: cost 1 inf + 0 327.474 * * [simplify]: Extracting #1: cost 3 inf + 0 327.474 * * [simplify]: Extracting #2: cost 6 inf + 0 327.474 * * [simplify]: Extracting #3: cost 10 inf + 0 327.474 * * [simplify]: Extracting #4: cost 20 inf + 0 327.474 * * [simplify]: Extracting #5: cost 135 inf + 0 327.477 * * [simplify]: Extracting #6: cost 296 inf + 1 327.479 * * [simplify]: Extracting #7: cost 337 inf + 1438 327.482 * * [simplify]: Extracting #8: cost 243 inf + 15999 327.497 * * [simplify]: Extracting #9: cost 105 inf + 71939 327.531 * * [simplify]: Extracting #10: cost 11 inf + 114680 327.553 * * [simplify]: Extracting #11: cost 1 inf + 122758 327.594 * * [simplify]: Extracting #12: cost 0 inf + 124223 327.636 * * [simplify]: Extracting #13: cost 0 inf + 124143 327.678 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 327.679 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 327.680 * * * * [progress]: [ 875 / 4754 ] simplifiying candidate # 327.680 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 327.681 * * [simplify]: iters left: 6 (49 enodes) 327.708 * * [simplify]: iters left: 5 (247 enodes) 327.794 * * [simplify]: Extracting #0: cost 1 inf + 0 327.794 * * [simplify]: Extracting #1: cost 3 inf + 0 327.794 * * [simplify]: Extracting #2: cost 6 inf + 0 327.794 * * [simplify]: Extracting #3: cost 10 inf + 0 327.794 * * [simplify]: Extracting #4: cost 20 inf + 0 327.795 * * [simplify]: Extracting #5: cost 126 inf + 0 327.796 * * [simplify]: Extracting #6: cost 285 inf + 86 327.800 * * [simplify]: Extracting #7: cost 321 inf + 2780 327.806 * * [simplify]: Extracting #8: cost 213 inf + 19415 327.823 * * [simplify]: Extracting #9: cost 120 inf + 54114 327.855 * * [simplify]: Extracting #10: cost 22 inf + 98524 327.893 * * [simplify]: Extracting #11: cost 2 inf + 111652 327.927 * * [simplify]: Extracting #12: cost 0 inf + 114382 327.964 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 327.964 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 327.964 * * * * [progress]: [ 876 / 4754 ] simplifiying candidate # 327.965 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 327.965 * * [simplify]: iters left: 6 (49 enodes) 327.978 * * [simplify]: iters left: 5 (246 enodes) 328.055 * * [simplify]: Extracting #0: cost 1 inf + 0 328.055 * * [simplify]: Extracting #1: cost 3 inf + 0 328.055 * * [simplify]: Extracting #2: cost 6 inf + 0 328.055 * * [simplify]: Extracting #3: cost 10 inf + 0 328.055 * * [simplify]: Extracting #4: cost 16 inf + 0 328.055 * * [simplify]: Extracting #5: cost 109 inf + 0 328.055 * * [simplify]: Extracting #6: cost 286 inf + 0 328.057 * * [simplify]: Extracting #7: cost 345 inf + 1433 328.063 * * [simplify]: Extracting #8: cost 180 inf + 40168 328.086 * * [simplify]: Extracting #9: cost 56 inf + 91565 328.121 * * [simplify]: Extracting #10: cost 6 inf + 114690 328.142 * * [simplify]: Extracting #11: cost 2 inf + 117684 328.185 * * [simplify]: Extracting #12: cost 0 inf + 121134 328.211 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) 328.211 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 328.212 * * * * [progress]: [ 877 / 4754 ] simplifiying candidate # 328.212 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 328.213 * * [simplify]: iters left: 6 (47 enodes) 328.237 * * [simplify]: iters left: 5 (232 enodes) 328.339 * * [simplify]: Extracting #0: cost 1 inf + 0 328.339 * * [simplify]: Extracting #1: cost 3 inf + 0 328.339 * * [simplify]: Extracting #2: cost 6 inf + 0 328.339 * * [simplify]: Extracting #3: cost 10 inf + 0 328.339 * * [simplify]: Extracting #4: cost 16 inf + 0 328.339 * * [simplify]: Extracting #5: cost 103 inf + 0 328.340 * * [simplify]: Extracting #6: cost 260 inf + 0 328.346 * * [simplify]: Extracting #7: cost 304 inf + 1270 328.354 * * [simplify]: Extracting #8: cost 179 inf + 25914 328.374 * * [simplify]: Extracting #9: cost 58 inf + 79052 328.392 * * [simplify]: Extracting #10: cost 7 inf + 104115 328.424 * * [simplify]: Extracting #11: cost 1 inf + 106653 328.452 * * [simplify]: Extracting #12: cost 0 inf + 107678 328.472 * * [simplify]: Extracting #13: cost 0 inf + 107598 328.499 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 328.499 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 328.500 * * * * [progress]: [ 878 / 4754 ] simplifiying candidate # 328.500 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 328.501 * * [simplify]: iters left: 6 (49 enodes) 328.528 * * [simplify]: iters left: 5 (244 enodes) 328.618 * * [simplify]: Extracting #0: cost 1 inf + 0 328.618 * * [simplify]: Extracting #1: cost 3 inf + 0 328.619 * * [simplify]: Extracting #2: cost 6 inf + 0 328.619 * * [simplify]: Extracting #3: cost 10 inf + 0 328.619 * * [simplify]: Extracting #4: cost 16 inf + 0 328.619 * * [simplify]: Extracting #5: cost 115 inf + 0 328.619 * * [simplify]: Extracting #6: cost 263 inf + 0 328.621 * * [simplify]: Extracting #7: cost 322 inf + 1109 328.624 * * [simplify]: Extracting #8: cost 210 inf + 19081 328.632 * * [simplify]: Extracting #9: cost 134 inf + 46475 328.651 * * [simplify]: Extracting #10: cost 44 inf + 83883 328.687 * * [simplify]: Extracting #11: cost 3 inf + 111988 328.728 * * [simplify]: Extracting #12: cost 0 inf + 115423 328.763 * * [simplify]: Extracting #13: cost 0 inf + 114863 328.788 * * [simplify]: Extracting #14: cost 0 inf + 114783 328.809 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))) 328.809 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 328.811 * * * * [progress]: [ 879 / 4754 ] simplifiying candidate # 328.811 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 328.811 * * [simplify]: iters left: 6 (49 enodes) 328.827 * * [simplify]: iters left: 5 (246 enodes) 328.926 * * [simplify]: Extracting #0: cost 1 inf + 0 328.926 * * [simplify]: Extracting #1: cost 3 inf + 0 328.926 * * [simplify]: Extracting #2: cost 6 inf + 0 328.926 * * [simplify]: Extracting #3: cost 10 inf + 0 328.926 * * [simplify]: Extracting #4: cost 16 inf + 0 328.927 * * [simplify]: Extracting #5: cost 106 inf + 0 328.931 * * [simplify]: Extracting #6: cost 279 inf + 0 328.933 * * [simplify]: Extracting #7: cost 324 inf + 1152 328.940 * * [simplify]: Extracting #8: cost 177 inf + 30332 328.955 * * [simplify]: Extracting #9: cost 39 inf + 89566 328.974 * * [simplify]: Extracting #10: cost 6 inf + 100138 328.996 * * [simplify]: Extracting #11: cost 2 inf + 103905 329.036 * * [simplify]: Extracting #12: cost 0 inf + 107275 329.060 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 329.061 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 329.061 * * * * [progress]: [ 880 / 4754 ] simplifiying candidate # 329.061 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 329.062 * * [simplify]: iters left: 6 (49 enodes) 329.076 * * [simplify]: iters left: 5 (246 enodes) 329.140 * * [simplify]: Extracting #0: cost 1 inf + 0 329.140 * * [simplify]: Extracting #1: cost 3 inf + 0 329.140 * * [simplify]: Extracting #2: cost 6 inf + 0 329.140 * * [simplify]: Extracting #3: cost 10 inf + 0 329.141 * * [simplify]: Extracting #4: cost 20 inf + 0 329.141 * * [simplify]: Extracting #5: cost 130 inf + 0 329.141 * * [simplify]: Extracting #6: cost 292 inf + 1 329.142 * * [simplify]: Extracting #7: cost 335 inf + 1353 329.146 * * [simplify]: Extracting #8: cost 223 inf + 19082 329.155 * * [simplify]: Extracting #9: cost 110 inf + 56192 329.186 * * [simplify]: Extracting #10: cost 14 inf + 101988 329.226 * * [simplify]: Extracting #11: cost 2 inf + 111195 329.254 * * [simplify]: Extracting #12: cost 0 inf + 114725 329.277 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 329.277 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 329.277 * * * * [progress]: [ 881 / 4754 ] simplifiying candidate # 329.278 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 329.278 * * [simplify]: iters left: 6 (49 enodes) 329.296 * * [simplify]: iters left: 5 (246 enodes) 329.381 * * [simplify]: Extracting #0: cost 1 inf + 0 329.381 * * [simplify]: Extracting #1: cost 3 inf + 0 329.381 * * [simplify]: Extracting #2: cost 6 inf + 0 329.381 * * [simplify]: Extracting #3: cost 10 inf + 0 329.381 * * [simplify]: Extracting #4: cost 20 inf + 0 329.381 * * [simplify]: Extracting #5: cost 122 inf + 0 329.382 * * [simplify]: Extracting #6: cost 281 inf + 44 329.383 * * [simplify]: Extracting #7: cost 320 inf + 2093 329.388 * * [simplify]: Extracting #8: cost 173 inf + 30150 329.401 * * [simplify]: Extracting #9: cost 46 inf + 83508 329.427 * * [simplify]: Extracting #10: cost 10 inf + 99992 329.450 * * [simplify]: Extracting #11: cost 0 inf + 105320 329.481 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 329.481 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 329.482 * * * * [progress]: [ 882 / 4754 ] simplifiying candidate # 329.483 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 329.483 * * [simplify]: iters left: 6 (49 enodes) 329.510 * * [simplify]: iters left: 5 (246 enodes) 329.597 * * [simplify]: Extracting #0: cost 1 inf + 0 329.597 * * [simplify]: Extracting #1: cost 3 inf + 0 329.597 * * [simplify]: Extracting #2: cost 6 inf + 0 329.597 * * [simplify]: Extracting #3: cost 10 inf + 0 329.597 * * [simplify]: Extracting #4: cost 20 inf + 0 329.598 * * [simplify]: Extracting #5: cost 130 inf + 0 329.599 * * [simplify]: Extracting #6: cost 292 inf + 1 329.601 * * [simplify]: Extracting #7: cost 335 inf + 1353 329.609 * * [simplify]: Extracting #8: cost 220 inf + 20334 329.625 * * [simplify]: Extracting #9: cost 109 inf + 56834 329.660 * * [simplify]: Extracting #10: cost 14 inf + 102175 329.696 * * [simplify]: Extracting #11: cost 2 inf + 111755 329.718 * * [simplify]: Extracting #12: cost 0 inf + 115205 329.755 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 329.756 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 329.756 * * * * [progress]: [ 883 / 4754 ] simplifiying candidate # 329.757 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 329.757 * * [simplify]: iters left: 6 (49 enodes) 329.770 * * [simplify]: iters left: 5 (246 enodes) 329.863 * * [simplify]: Extracting #0: cost 1 inf + 0 329.863 * * [simplify]: Extracting #1: cost 3 inf + 0 329.863 * * [simplify]: Extracting #2: cost 6 inf + 0 329.863 * * [simplify]: Extracting #3: cost 10 inf + 0 329.864 * * [simplify]: Extracting #4: cost 20 inf + 0 329.864 * * [simplify]: Extracting #5: cost 121 inf + 0 329.864 * * [simplify]: Extracting #6: cost 281 inf + 44 329.866 * * [simplify]: Extracting #7: cost 321 inf + 1968 329.870 * * [simplify]: Extracting #8: cost 176 inf + 28452 329.882 * * [simplify]: Extracting #9: cost 58 inf + 72322 329.902 * * [simplify]: Extracting #10: cost 7 inf + 100026 329.921 * * [simplify]: Extracting #11: cost 0 inf + 105560 329.947 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 329.947 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 329.947 * * * * [progress]: [ 884 / 4754 ] simplifiying candidate # 329.948 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 329.948 * * [simplify]: iters left: 6 (49 enodes) 329.961 * * [simplify]: iters left: 5 (247 enodes) 330.068 * * [simplify]: Extracting #0: cost 1 inf + 0 330.068 * * [simplify]: Extracting #1: cost 3 inf + 0 330.068 * * [simplify]: Extracting #2: cost 6 inf + 0 330.068 * * [simplify]: Extracting #3: cost 10 inf + 0 330.068 * * [simplify]: Extracting #4: cost 16 inf + 0 330.069 * * [simplify]: Extracting #5: cost 113 inf + 0 330.070 * * [simplify]: Extracting #6: cost 288 inf + 0 330.072 * * [simplify]: Extracting #7: cost 350 inf + 1110 330.082 * * [simplify]: Extracting #8: cost 204 inf + 31555 330.113 * * [simplify]: Extracting #9: cost 64 inf + 93263 330.143 * * [simplify]: Extracting #10: cost 5 inf + 127186 330.172 * * [simplify]: Extracting #11: cost 0 inf + 129512 330.217 * * [simplify]: Extracting #12: cost 0 inf + 129432 330.263 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 330.263 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 330.264 * * * * [progress]: [ 885 / 4754 ] simplifiying candidate # 330.265 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 330.265 * * [simplify]: iters left: 6 (47 enodes) 330.292 * * [simplify]: iters left: 5 (235 enodes) 330.360 * * [simplify]: Extracting #0: cost 1 inf + 0 330.360 * * [simplify]: Extracting #1: cost 3 inf + 0 330.360 * * [simplify]: Extracting #2: cost 6 inf + 0 330.360 * * [simplify]: Extracting #3: cost 10 inf + 0 330.360 * * [simplify]: Extracting #4: cost 16 inf + 0 330.360 * * [simplify]: Extracting #5: cost 106 inf + 0 330.361 * * [simplify]: Extracting #6: cost 270 inf + 0 330.362 * * [simplify]: Extracting #7: cost 316 inf + 1232 330.365 * * [simplify]: Extracting #8: cost 219 inf + 17488 330.376 * * [simplify]: Extracting #9: cost 129 inf + 50489 330.392 * * [simplify]: Extracting #10: cost 30 inf + 96417 330.412 * * [simplify]: Extracting #11: cost 5 inf + 112150 330.450 * * [simplify]: Extracting #12: cost 1 inf + 118050 330.492 * * [simplify]: Extracting #13: cost 0 inf + 119835 330.537 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))))) 330.537 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 330.538 * * * * [progress]: [ 886 / 4754 ] simplifiying candidate # 330.539 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 330.539 * * [simplify]: iters left: 6 (49 enodes) 330.566 * * [simplify]: iters left: 5 (245 enodes) 330.639 * * [simplify]: Extracting #0: cost 1 inf + 0 330.639 * * [simplify]: Extracting #1: cost 3 inf + 0 330.639 * * [simplify]: Extracting #2: cost 6 inf + 0 330.639 * * [simplify]: Extracting #3: cost 10 inf + 0 330.639 * * [simplify]: Extracting #4: cost 16 inf + 0 330.639 * * [simplify]: Extracting #5: cost 120 inf + 0 330.640 * * [simplify]: Extracting #6: cost 284 inf + 0 330.641 * * [simplify]: Extracting #7: cost 344 inf + 1068 330.646 * * [simplify]: Extracting #8: cost 204 inf + 33377 330.661 * * [simplify]: Extracting #9: cost 77 inf + 87533 330.701 * * [simplify]: Extracting #10: cost 15 inf + 119196 330.750 * * [simplify]: Extracting #11: cost 0 inf + 129328 330.795 * * [simplify]: Extracting #12: cost 0 inf + 129288 330.827 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 330.827 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 330.827 * * * * [progress]: [ 887 / 4754 ] simplifiying candidate # 330.828 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 330.828 * * [simplify]: iters left: 6 (49 enodes) 330.842 * * [simplify]: iters left: 5 (247 enodes) 330.935 * * [simplify]: Extracting #0: cost 1 inf + 0 330.935 * * [simplify]: Extracting #1: cost 3 inf + 0 330.935 * * [simplify]: Extracting #2: cost 6 inf + 0 330.935 * * [simplify]: Extracting #3: cost 10 inf + 0 330.935 * * [simplify]: Extracting #4: cost 16 inf + 0 330.935 * * [simplify]: Extracting #5: cost 110 inf + 0 330.936 * * [simplify]: Extracting #6: cost 282 inf + 0 330.938 * * [simplify]: Extracting #7: cost 335 inf + 538 330.945 * * [simplify]: Extracting #8: cost 220 inf + 21071 330.970 * * [simplify]: Extracting #9: cost 71 inf + 79287 331.006 * * [simplify]: Extracting #10: cost 5 inf + 111558 331.026 * * [simplify]: Extracting #11: cost 0 inf + 114777 331.060 * * [simplify]: Extracting #12: cost 0 inf + 114577 331.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 331.081 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 331.081 * * * * [progress]: [ 888 / 4754 ] simplifiying candidate # 331.082 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 331.082 * * [simplify]: iters left: 6 (49 enodes) 331.102 * * [simplify]: iters left: 5 (247 enodes) 331.186 * * [simplify]: Extracting #0: cost 1 inf + 0 331.186 * * [simplify]: Extracting #1: cost 3 inf + 0 331.186 * * [simplify]: Extracting #2: cost 6 inf + 0 331.186 * * [simplify]: Extracting #3: cost 10 inf + 0 331.186 * * [simplify]: Extracting #4: cost 20 inf + 0 331.187 * * [simplify]: Extracting #5: cost 134 inf + 0 331.188 * * [simplify]: Extracting #6: cost 294 inf + 1 331.190 * * [simplify]: Extracting #7: cost 342 inf + 947 331.199 * * [simplify]: Extracting #8: cost 201 inf + 32067 331.212 * * [simplify]: Extracting #9: cost 88 inf + 79814 331.242 * * [simplify]: Extracting #10: cost 7 inf + 121715 331.269 * * [simplify]: Extracting #11: cost 0 inf + 122943 331.298 * * [simplify]: Extracting #12: cost 0 inf + 122863 331.322 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 331.322 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 331.323 * * * * [progress]: [ 889 / 4754 ] simplifiying candidate # 331.323 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 331.324 * * [simplify]: iters left: 6 (49 enodes) 331.349 * * [simplify]: iters left: 5 (247 enodes) 331.429 * * [simplify]: Extracting #0: cost 1 inf + 0 331.429 * * [simplify]: Extracting #1: cost 3 inf + 0 331.429 * * [simplify]: Extracting #2: cost 6 inf + 0 331.429 * * [simplify]: Extracting #3: cost 10 inf + 0 331.429 * * [simplify]: Extracting #4: cost 20 inf + 0 331.430 * * [simplify]: Extracting #5: cost 126 inf + 0 331.430 * * [simplify]: Extracting #6: cost 283 inf + 86 331.431 * * [simplify]: Extracting #7: cost 323 inf + 2616 331.436 * * [simplify]: Extracting #8: cost 185 inf + 30547 331.452 * * [simplify]: Extracting #9: cost 57 inf + 83475 331.472 * * [simplify]: Extracting #10: cost 3 inf + 112080 331.506 * * [simplify]: Extracting #11: cost 0 inf + 114382 331.531 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 331.531 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 331.532 * * * * [progress]: [ 890 / 4754 ] simplifiying candidate # 331.532 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 331.532 * * [simplify]: iters left: 6 (49 enodes) 331.549 * * [simplify]: iters left: 5 (247 enodes) 331.629 * * [simplify]: Extracting #0: cost 1 inf + 0 331.629 * * [simplify]: Extracting #1: cost 3 inf + 0 331.630 * * [simplify]: Extracting #2: cost 6 inf + 0 331.630 * * [simplify]: Extracting #3: cost 10 inf + 0 331.630 * * [simplify]: Extracting #4: cost 20 inf + 0 331.630 * * [simplify]: Extracting #5: cost 134 inf + 0 331.631 * * [simplify]: Extracting #6: cost 294 inf + 1 331.633 * * [simplify]: Extracting #7: cost 342 inf + 947 331.643 * * [simplify]: Extracting #8: cost 204 inf + 30270 331.668 * * [simplify]: Extracting #9: cost 87 inf + 79517 331.706 * * [simplify]: Extracting #10: cost 13 inf + 112845 331.740 * * [simplify]: Extracting #11: cost 1 inf + 122118 331.764 * * [simplify]: Extracting #12: cost 0 inf + 123583 331.805 * * [simplify]: Extracting #13: cost 0 inf + 123503 331.836 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 331.836 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 331.837 * * * * [progress]: [ 891 / 4754 ] simplifiying candidate # 331.837 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 331.837 * * [simplify]: iters left: 6 (49 enodes) 331.850 * * [simplify]: iters left: 5 (247 enodes) 331.909 * * [simplify]: Extracting #0: cost 1 inf + 0 331.909 * * [simplify]: Extracting #1: cost 3 inf + 0 331.909 * * [simplify]: Extracting #2: cost 6 inf + 0 331.909 * * [simplify]: Extracting #3: cost 10 inf + 0 331.909 * * [simplify]: Extracting #4: cost 20 inf + 0 331.910 * * [simplify]: Extracting #5: cost 125 inf + 0 331.910 * * [simplify]: Extracting #6: cost 283 inf + 86 331.912 * * [simplify]: Extracting #7: cost 321 inf + 2739 331.917 * * [simplify]: Extracting #8: cost 172 inf + 36129 331.937 * * [simplify]: Extracting #9: cost 43 inf + 92484 331.957 * * [simplify]: Extracting #10: cost 7 inf + 109859 331.980 * * [simplify]: Extracting #11: cost 0 inf + 114782 332.014 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 332.014 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 332.015 * * * * [progress]: [ 892 / 4754 ] simplifiying candidate # 332.015 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 332.016 * * [simplify]: iters left: 6 (49 enodes) 332.031 * * [simplify]: iters left: 5 (247 enodes) 332.113 * * [simplify]: Extracting #0: cost 1 inf + 0 332.113 * * [simplify]: Extracting #1: cost 3 inf + 0 332.113 * * [simplify]: Extracting #2: cost 6 inf + 0 332.113 * * [simplify]: Extracting #3: cost 10 inf + 0 332.113 * * [simplify]: Extracting #4: cost 16 inf + 0 332.114 * * [simplify]: Extracting #5: cost 110 inf + 0 332.114 * * [simplify]: Extracting #6: cost 291 inf + 0 332.115 * * [simplify]: Extracting #7: cost 348 inf + 1350 332.142 * * [simplify]: Extracting #8: cost 182 inf + 40270 332.178 * * [simplify]: Extracting #9: cost 41 inf + 99760 332.220 * * [simplify]: Extracting #10: cost 7 inf + 118387 332.264 * * [simplify]: Extracting #11: cost 0 inf + 121039 332.307 * * [simplify]: Extracting #12: cost 0 inf + 120799 332.343 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 332.343 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 332.344 * * * * [progress]: [ 893 / 4754 ] simplifiying candidate # 332.344 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 332.345 * * [simplify]: iters left: 6 (47 enodes) 332.357 * * [simplify]: iters left: 5 (234 enodes) 332.441 * * [simplify]: Extracting #0: cost 1 inf + 0 332.441 * * [simplify]: Extracting #1: cost 3 inf + 0 332.441 * * [simplify]: Extracting #2: cost 6 inf + 0 332.442 * * [simplify]: Extracting #3: cost 10 inf + 0 332.442 * * [simplify]: Extracting #4: cost 16 inf + 0 332.442 * * [simplify]: Extracting #5: cost 105 inf + 0 332.443 * * [simplify]: Extracting #6: cost 273 inf + 0 332.445 * * [simplify]: Extracting #7: cost 316 inf + 947 332.451 * * [simplify]: Extracting #8: cost 218 inf + 15109 332.465 * * [simplify]: Extracting #9: cost 125 inf + 46243 332.492 * * [simplify]: Extracting #10: cost 42 inf + 83551 332.529 * * [simplify]: Extracting #11: cost 4 inf + 106262 332.571 * * [simplify]: Extracting #12: cost 1 inf + 109977 332.610 * * [simplify]: Extracting #13: cost 0 inf + 111562 332.650 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) 332.650 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 332.651 * * * * [progress]: [ 894 / 4754 ] simplifiying candidate # 332.651 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 332.652 * * [simplify]: iters left: 6 (49 enodes) 332.678 * * [simplify]: iters left: 5 (245 enodes) 332.769 * * [simplify]: Extracting #0: cost 1 inf + 0 332.769 * * [simplify]: Extracting #1: cost 3 inf + 0 332.769 * * [simplify]: Extracting #2: cost 6 inf + 0 332.769 * * [simplify]: Extracting #3: cost 10 inf + 0 332.769 * * [simplify]: Extracting #4: cost 16 inf + 0 332.769 * * [simplify]: Extracting #5: cost 119 inf + 0 332.770 * * [simplify]: Extracting #6: cost 286 inf + 0 332.771 * * [simplify]: Extracting #7: cost 339 inf + 1392 332.775 * * [simplify]: Extracting #8: cost 214 inf + 25158 332.788 * * [simplify]: Extracting #9: cost 76 inf + 80324 332.821 * * [simplify]: Extracting #10: cost 5 inf + 117948 332.848 * * [simplify]: Extracting #11: cost 0 inf + 121087 332.881 * * [simplify]: Extracting #12: cost 0 inf + 120527 332.923 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 332.923 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 332.924 * * * * [progress]: [ 895 / 4754 ] simplifiying candidate # 332.924 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 332.925 * * [simplify]: iters left: 6 (49 enodes) 332.948 * * [simplify]: iters left: 5 (247 enodes) 333.018 * * [simplify]: Extracting #0: cost 1 inf + 0 333.018 * * [simplify]: Extracting #1: cost 3 inf + 0 333.018 * * [simplify]: Extracting #2: cost 6 inf + 0 333.018 * * [simplify]: Extracting #3: cost 10 inf + 0 333.018 * * [simplify]: Extracting #4: cost 16 inf + 0 333.018 * * [simplify]: Extracting #5: cost 107 inf + 0 333.019 * * [simplify]: Extracting #6: cost 283 inf + 0 333.021 * * [simplify]: Extracting #7: cost 325 inf + 1111 333.027 * * [simplify]: Extracting #8: cost 201 inf + 22417 333.042 * * [simplify]: Extracting #9: cost 67 inf + 72580 333.066 * * [simplify]: Extracting #10: cost 6 inf + 100058 333.102 * * [simplify]: Extracting #11: cost 2 inf + 103705 333.140 * * [simplify]: Extracting #12: cost 0 inf + 106915 333.178 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 333.178 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 333.180 * * * * [progress]: [ 896 / 4754 ] simplifiying candidate # 333.180 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 333.181 * * [simplify]: iters left: 6 (49 enodes) 333.211 * * [simplify]: iters left: 5 (247 enodes) 333.317 * * [simplify]: Extracting #0: cost 1 inf + 0 333.317 * * [simplify]: Extracting #1: cost 3 inf + 0 333.317 * * [simplify]: Extracting #2: cost 6 inf + 0 333.317 * * [simplify]: Extracting #3: cost 10 inf + 0 333.317 * * [simplify]: Extracting #4: cost 20 inf + 0 333.318 * * [simplify]: Extracting #5: cost 131 inf + 0 333.318 * * [simplify]: Extracting #6: cost 297 inf + 1 333.320 * * [simplify]: Extracting #7: cost 338 inf + 1111 333.323 * * [simplify]: Extracting #8: cost 225 inf + 18836 333.333 * * [simplify]: Extracting #9: cost 104 inf + 66139 333.365 * * [simplify]: Extracting #10: cost 3 inf + 114741 333.387 * * [simplify]: Extracting #11: cost 0 inf + 114750 333.417 * * [simplify]: Extracting #12: cost 0 inf + 114710 333.441 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 333.442 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 333.442 * * * * [progress]: [ 897 / 4754 ] simplifiying candidate # 333.442 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 333.443 * * [simplify]: iters left: 6 (49 enodes) 333.456 * * [simplify]: iters left: 5 (247 enodes) 333.545 * * [simplify]: Extracting #0: cost 1 inf + 0 333.545 * * [simplify]: Extracting #1: cost 3 inf + 0 333.545 * * [simplify]: Extracting #2: cost 6 inf + 0 333.545 * * [simplify]: Extracting #3: cost 10 inf + 0 333.545 * * [simplify]: Extracting #4: cost 20 inf + 0 333.545 * * [simplify]: Extracting #5: cost 123 inf + 0 333.547 * * [simplify]: Extracting #6: cost 284 inf + 86 333.549 * * [simplify]: Extracting #7: cost 316 inf + 2941 333.556 * * [simplify]: Extracting #8: cost 197 inf + 22094 333.572 * * [simplify]: Extracting #9: cost 122 inf + 47906 333.594 * * [simplify]: Extracting #10: cost 26 inf + 89858 333.612 * * [simplify]: Extracting #11: cost 3 inf + 102765 333.643 * * [simplify]: Extracting #12: cost 0 inf + 106480 333.663 * * [simplify]: Extracting #13: cost 0 inf + 106400 333.683 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 333.683 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 333.684 * * * * [progress]: [ 898 / 4754 ] simplifiying candidate # 333.684 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 333.685 * * [simplify]: iters left: 6 (49 enodes) 333.698 * * [simplify]: iters left: 5 (247 enodes) 333.771 * * [simplify]: Extracting #0: cost 1 inf + 0 333.771 * * [simplify]: Extracting #1: cost 3 inf + 0 333.771 * * [simplify]: Extracting #2: cost 6 inf + 0 333.771 * * [simplify]: Extracting #3: cost 10 inf + 0 333.771 * * [simplify]: Extracting #4: cost 20 inf + 0 333.771 * * [simplify]: Extracting #5: cost 131 inf + 0 333.772 * * [simplify]: Extracting #6: cost 297 inf + 1 333.773 * * [simplify]: Extracting #7: cost 338 inf + 1111 333.776 * * [simplify]: Extracting #8: cost 230 inf + 18265 333.787 * * [simplify]: Extracting #9: cost 104 inf + 67104 333.825 * * [simplify]: Extracting #10: cost 3 inf + 115341 333.865 * * [simplify]: Extracting #11: cost 0 inf + 115230 333.904 * * [simplify]: Extracting #12: cost 0 inf + 115190 333.944 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 333.945 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 333.946 * * * * [progress]: [ 899 / 4754 ] simplifiying candidate # 333.946 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 333.947 * * [simplify]: iters left: 6 (49 enodes) 333.973 * * [simplify]: iters left: 5 (247 enodes) 334.075 * * [simplify]: Extracting #0: cost 1 inf + 0 334.075 * * [simplify]: Extracting #1: cost 3 inf + 0 334.075 * * [simplify]: Extracting #2: cost 6 inf + 0 334.075 * * [simplify]: Extracting #3: cost 10 inf + 0 334.075 * * [simplify]: Extracting #4: cost 20 inf + 0 334.075 * * [simplify]: Extracting #5: cost 122 inf + 0 334.076 * * [simplify]: Extracting #6: cost 284 inf + 86 334.077 * * [simplify]: Extracting #7: cost 316 inf + 2900 334.081 * * [simplify]: Extracting #8: cost 196 inf + 22499 334.093 * * [simplify]: Extracting #9: cost 121 inf + 48653 334.107 * * [simplify]: Extracting #10: cost 27 inf + 89633 334.142 * * [simplify]: Extracting #11: cost 3 inf + 103005 334.165 * * [simplify]: Extracting #12: cost 0 inf + 106720 334.184 * * [simplify]: Extracting #13: cost 0 inf + 106640 334.204 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 334.204 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 334.204 * * * * [progress]: [ 900 / 4754 ] simplifiying candidate # 334.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 334.205 * * [simplify]: iters left: 6 (49 enodes) 334.218 * * [simplify]: iters left: 5 (250 enodes) 334.308 * * [simplify]: Extracting #0: cost 1 inf + 0 334.308 * * [simplify]: Extracting #1: cost 3 inf + 0 334.308 * * [simplify]: Extracting #2: cost 6 inf + 0 334.308 * * [simplify]: Extracting #3: cost 10 inf + 0 334.308 * * [simplify]: Extracting #4: cost 16 inf + 0 334.308 * * [simplify]: Extracting #5: cost 104 inf + 0 334.309 * * [simplify]: Extracting #6: cost 280 inf + 2 334.311 * * [simplify]: Extracting #7: cost 308 inf + 4876 334.314 * * [simplify]: Extracting #8: cost 199 inf + 21495 334.326 * * [simplify]: Extracting #9: cost 109 inf + 50571 334.354 * * [simplify]: Extracting #10: cost 28 inf + 86579 334.387 * * [simplify]: Extracting #11: cost 5 inf + 95823 334.421 * * [simplify]: Extracting #12: cost 1 inf + 101934 334.466 * * [simplify]: Extracting #13: cost 0 inf + 103486 334.503 * * [simplify]: Extracting #14: cost 0 inf + 103395 334.527 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 334.527 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 334.528 * * * * [progress]: [ 901 / 4754 ] simplifiying candidate # 334.529 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 334.529 * * [simplify]: iters left: 6 (49 enodes) 334.542 * * [simplify]: iters left: 5 (248 enodes) 334.652 * * [simplify]: Extracting #0: cost 1 inf + 0 334.652 * * [simplify]: Extracting #1: cost 3 inf + 0 334.652 * * [simplify]: Extracting #2: cost 6 inf + 0 334.653 * * [simplify]: Extracting #3: cost 10 inf + 0 334.653 * * [simplify]: Extracting #4: cost 19 inf + 0 334.653 * * [simplify]: Extracting #5: cost 111 inf + 0 334.654 * * [simplify]: Extracting #6: cost 281 inf + 0 334.656 * * [simplify]: Extracting #7: cost 320 inf + 3086 334.662 * * [simplify]: Extracting #8: cost 217 inf + 18634 334.675 * * [simplify]: Extracting #9: cost 140 inf + 38592 334.697 * * [simplify]: Extracting #10: cost 49 inf + 69735 334.731 * * [simplify]: Extracting #11: cost 8 inf + 89520 334.765 * * [simplify]: Extracting #12: cost 2 inf + 97150 334.798 * * [simplify]: Extracting #13: cost 0 inf + 100600 334.817 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 334.817 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 334.818 * * * * [progress]: [ 902 / 4754 ] simplifiying candidate # 334.818 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 334.818 * * [simplify]: iters left: 6 (48 enodes) 334.833 * * [simplify]: iters left: 5 (256 enodes) 334.928 * * [simplify]: Extracting #0: cost 1 inf + 0 334.928 * * [simplify]: Extracting #1: cost 3 inf + 0 334.928 * * [simplify]: Extracting #2: cost 6 inf + 0 334.928 * * [simplify]: Extracting #3: cost 10 inf + 0 334.928 * * [simplify]: Extracting #4: cost 16 inf + 0 334.928 * * [simplify]: Extracting #5: cost 120 inf + 0 334.929 * * [simplify]: Extracting #6: cost 315 inf + 0 334.930 * * [simplify]: Extracting #7: cost 391 inf + 824 334.945 * * [simplify]: Extracting #8: cost 224 inf + 41285 334.979 * * [simplify]: Extracting #9: cost 31 inf + 128192 335.005 * * [simplify]: Extracting #10: cost 2 inf + 141333 335.044 * * [simplify]: Extracting #11: cost 0 inf + 139717 335.071 * * [simplify]: Extracting #12: cost 0 inf + 139677 335.097 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 335.097 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 335.098 * * * * [progress]: [ 903 / 4754 ] simplifiying candidate # 335.098 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 335.098 * * [simplify]: iters left: 6 (48 enodes) 335.113 * * [simplify]: iters left: 5 (250 enodes) 335.204 * * [simplify]: Extracting #0: cost 1 inf + 0 335.204 * * [simplify]: Extracting #1: cost 3 inf + 0 335.204 * * [simplify]: Extracting #2: cost 6 inf + 0 335.204 * * [simplify]: Extracting #3: cost 10 inf + 0 335.204 * * [simplify]: Extracting #4: cost 16 inf + 0 335.205 * * [simplify]: Extracting #5: cost 116 inf + 0 335.206 * * [simplify]: Extracting #6: cost 287 inf + 0 335.208 * * [simplify]: Extracting #7: cost 361 inf + 905 335.215 * * [simplify]: Extracting #8: cost 251 inf + 20478 335.239 * * [simplify]: Extracting #9: cost 114 inf + 72792 335.272 * * [simplify]: Extracting #10: cost 8 inf + 127373 335.308 * * [simplify]: Extracting #11: cost 1 inf + 130987 335.335 * * [simplify]: Extracting #12: cost 0 inf + 132652 335.374 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 335.375 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 335.376 * * * * [progress]: [ 904 / 4754 ] simplifiying candidate # 335.376 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 335.377 * * [simplify]: iters left: 6 (46 enodes) 335.404 * * [simplify]: iters left: 5 (240 enodes) 335.494 * * [simplify]: Extracting #0: cost 1 inf + 0 335.494 * * [simplify]: Extracting #1: cost 3 inf + 0 335.494 * * [simplify]: Extracting #2: cost 6 inf + 0 335.494 * * [simplify]: Extracting #3: cost 10 inf + 0 335.494 * * [simplify]: Extracting #4: cost 16 inf + 0 335.494 * * [simplify]: Extracting #5: cost 110 inf + 0 335.495 * * [simplify]: Extracting #6: cost 276 inf + 0 335.496 * * [simplify]: Extracting #7: cost 336 inf + 1184 335.503 * * [simplify]: Extracting #8: cost 211 inf + 26585 335.512 * * [simplify]: Extracting #9: cost 119 inf + 55651 335.529 * * [simplify]: Extracting #10: cost 35 inf + 95520 335.550 * * [simplify]: Extracting #11: cost 1 inf + 118464 335.582 * * [simplify]: Extracting #12: cost 0 inf + 120209 335.626 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))))) 335.626 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 335.627 * * * * [progress]: [ 905 / 4754 ] simplifiying candidate # 335.628 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 335.628 * * [simplify]: iters left: 6 (48 enodes) 335.655 * * [simplify]: iters left: 5 (256 enodes) 335.763 * * [simplify]: Extracting #0: cost 1 inf + 0 335.763 * * [simplify]: Extracting #1: cost 3 inf + 0 335.763 * * [simplify]: Extracting #2: cost 6 inf + 0 335.764 * * [simplify]: Extracting #3: cost 10 inf + 0 335.764 * * [simplify]: Extracting #4: cost 16 inf + 0 335.764 * * [simplify]: Extracting #5: cost 118 inf + 0 335.764 * * [simplify]: Extracting #6: cost 302 inf + 0 335.767 * * [simplify]: Extracting #7: cost 352 inf + 1756 335.778 * * [simplify]: Extracting #8: cost 207 inf + 35410 335.813 * * [simplify]: Extracting #9: cost 32 inf + 104582 335.836 * * [simplify]: Extracting #10: cost 5 inf + 119012 335.873 * * [simplify]: Extracting #11: cost 0 inf + 121178 335.916 * * [simplify]: Extracting #12: cost 0 inf + 121098 335.960 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 335.960 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 335.961 * * * * [progress]: [ 906 / 4754 ] simplifiying candidate # 335.962 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 335.962 * * [simplify]: iters left: 6 (48 enodes) 335.987 * * [simplify]: iters left: 5 (252 enodes) 336.087 * * [simplify]: Extracting #0: cost 1 inf + 0 336.087 * * [simplify]: Extracting #1: cost 3 inf + 0 336.087 * * [simplify]: Extracting #2: cost 6 inf + 0 336.087 * * [simplify]: Extracting #3: cost 10 inf + 0 336.087 * * [simplify]: Extracting #4: cost 20 inf + 0 336.087 * * [simplify]: Extracting #5: cost 138 inf + 0 336.089 * * [simplify]: Extracting #6: cost 307 inf + 1 336.091 * * [simplify]: Extracting #7: cost 356 inf + 1557 336.106 * * [simplify]: Extracting #8: cost 188 inf + 49075 336.147 * * [simplify]: Extracting #9: cost 45 inf + 104902 336.193 * * [simplify]: Extracting #10: cost 5 inf + 123645 336.239 * * [simplify]: Extracting #11: cost 1 inf + 128025 336.267 * * [simplify]: Extracting #12: cost 0 inf + 129770 336.306 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 336.306 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 336.308 * * * * [progress]: [ 907 / 4754 ] simplifiying candidate # 336.308 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 336.309 * * [simplify]: iters left: 6 (48 enodes) 336.322 * * [simplify]: iters left: 5 (252 enodes) 336.418 * * [simplify]: Extracting #0: cost 1 inf + 0 336.418 * * [simplify]: Extracting #1: cost 3 inf + 0 336.418 * * [simplify]: Extracting #2: cost 6 inf + 0 336.418 * * [simplify]: Extracting #3: cost 10 inf + 0 336.418 * * [simplify]: Extracting #4: cost 20 inf + 0 336.418 * * [simplify]: Extracting #5: cost 128 inf + 0 336.419 * * [simplify]: Extracting #6: cost 289 inf + 44 336.420 * * [simplify]: Extracting #7: cost 343 inf + 1235 336.424 * * [simplify]: Extracting #8: cost 212 inf + 26583 336.436 * * [simplify]: Extracting #9: cost 87 inf + 74851 336.465 * * [simplify]: Extracting #10: cost 14 inf + 105638 336.493 * * [simplify]: Extracting #11: cost 5 inf + 108369 336.524 * * [simplify]: Extracting #12: cost 1 inf + 114749 336.566 * * [simplify]: Extracting #13: cost 0 inf + 116654 336.609 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 336.609 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 336.610 * * * * [progress]: [ 908 / 4754 ] simplifiying candidate # 336.610 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 336.611 * * [simplify]: iters left: 6 (48 enodes) 336.637 * * [simplify]: iters left: 5 (252 enodes) 336.740 * * [simplify]: Extracting #0: cost 1 inf + 0 336.740 * * [simplify]: Extracting #1: cost 3 inf + 0 336.740 * * [simplify]: Extracting #2: cost 6 inf + 0 336.740 * * [simplify]: Extracting #3: cost 10 inf + 0 336.740 * * [simplify]: Extracting #4: cost 20 inf + 0 336.740 * * [simplify]: Extracting #5: cost 138 inf + 0 336.741 * * [simplify]: Extracting #6: cost 307 inf + 1 336.743 * * [simplify]: Extracting #7: cost 356 inf + 1557 336.755 * * [simplify]: Extracting #8: cost 189 inf + 48913 336.795 * * [simplify]: Extracting #9: cost 43 inf + 106510 336.839 * * [simplify]: Extracting #10: cost 5 inf + 123805 336.865 * * [simplify]: Extracting #11: cost 1 inf + 128105 336.899 * * [simplify]: Extracting #12: cost 0 inf + 129770 336.929 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))))))) 336.929 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 336.929 * * * * [progress]: [ 909 / 4754 ] simplifiying candidate # 336.930 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 336.930 * * [simplify]: iters left: 6 (48 enodes) 336.944 * * [simplify]: iters left: 5 (252 enodes) 337.024 * * [simplify]: Extracting #0: cost 1 inf + 0 337.024 * * [simplify]: Extracting #1: cost 3 inf + 0 337.024 * * [simplify]: Extracting #2: cost 6 inf + 0 337.024 * * [simplify]: Extracting #3: cost 10 inf + 0 337.024 * * [simplify]: Extracting #4: cost 20 inf + 0 337.024 * * [simplify]: Extracting #5: cost 127 inf + 0 337.025 * * [simplify]: Extracting #6: cost 289 inf + 44 337.026 * * [simplify]: Extracting #7: cost 344 inf + 1193 337.031 * * [simplify]: Extracting #8: cost 232 inf + 19865 337.046 * * [simplify]: Extracting #9: cost 111 inf + 65632 337.066 * * [simplify]: Extracting #10: cost 9 inf + 110308 337.093 * * [simplify]: Extracting #11: cost 1 inf + 116109 337.138 * * [simplify]: Extracting #12: cost 0 inf + 117014 337.162 * * [simplify]: Extracting #13: cost 0 inf + 116734 337.183 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 337.183 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 337.184 * * * * [progress]: [ 910 / 4754 ] simplifiying candidate # 337.184 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 337.185 * * [simplify]: iters left: 6 (46 enodes) 337.199 * * [simplify]: iters left: 5 (233 enodes) 337.272 * * [simplify]: Extracting #0: cost 1 inf + 0 337.272 * * [simplify]: Extracting #1: cost 3 inf + 0 337.272 * * [simplify]: Extracting #2: cost 6 inf + 0 337.272 * * [simplify]: Extracting #3: cost 10 inf + 0 337.272 * * [simplify]: Extracting #4: cost 16 inf + 0 337.272 * * [simplify]: Extracting #5: cost 106 inf + 0 337.273 * * [simplify]: Extracting #6: cost 268 inf + 0 337.276 * * [simplify]: Extracting #7: cost 328 inf + 943 337.281 * * [simplify]: Extracting #8: cost 232 inf + 16060 337.297 * * [simplify]: Extracting #9: cost 134 inf + 49269 337.335 * * [simplify]: Extracting #10: cost 20 inf + 105572 337.377 * * [simplify]: Extracting #11: cost 0 inf + 120832 337.420 * * [simplify]: Extracting #12: cost 0 inf + 120512 337.462 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 337.462 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 337.464 * * * * [progress]: [ 911 / 4754 ] simplifiying candidate # 337.464 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 337.465 * * [simplify]: iters left: 6 (46 enodes) 337.492 * * [simplify]: iters left: 5 (229 enodes) 337.542 * * [simplify]: Extracting #0: cost 1 inf + 0 337.542 * * [simplify]: Extracting #1: cost 4 inf + 0 337.542 * * [simplify]: Extracting #2: cost 7 inf + 0 337.542 * * [simplify]: Extracting #3: cost 10 inf + 0 337.543 * * [simplify]: Extracting #4: cost 79 inf + 0 337.543 * * [simplify]: Extracting #5: cost 226 inf + 0 337.544 * * [simplify]: Extracting #6: cost 275 inf + 987 337.548 * * [simplify]: Extracting #7: cost 156 inf + 22337 337.561 * * [simplify]: Extracting #8: cost 63 inf + 64813 337.589 * * [simplify]: Extracting #9: cost 8 inf + 94390 337.625 * * [simplify]: Extracting #10: cost 0 inf + 99960 337.660 * * [simplify]: Extracting #11: cost 0 inf + 99800 337.695 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 337.695 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 337.696 * * * * [progress]: [ 912 / 4754 ] simplifiying candidate # 337.697 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 337.697 * * [simplify]: iters left: 6 (40 enodes) 337.721 * * [simplify]: iters left: 5 (198 enodes) 337.791 * * [simplify]: Extracting #0: cost 1 inf + 0 337.791 * * [simplify]: Extracting #1: cost 4 inf + 0 337.791 * * [simplify]: Extracting #2: cost 7 inf + 0 337.791 * * [simplify]: Extracting #3: cost 10 inf + 0 337.791 * * [simplify]: Extracting #4: cost 66 inf + 0 337.792 * * [simplify]: Extracting #5: cost 191 inf + 0 337.792 * * [simplify]: Extracting #6: cost 235 inf + 744 337.794 * * [simplify]: Extracting #7: cost 166 inf + 10284 337.800 * * [simplify]: Extracting #8: cost 87 inf + 32445 337.814 * * [simplify]: Extracting #9: cost 21 inf + 61894 337.841 * * [simplify]: Extracting #10: cost 2 inf + 73157 337.867 * * [simplify]: Extracting #11: cost 0 inf + 75767 337.891 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 337.891 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 337.892 * * * * [progress]: [ 913 / 4754 ] simplifiying candidate # 337.893 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 337.893 * * [simplify]: iters left: 6 (46 enodes) 337.905 * * [simplify]: iters left: 5 (231 enodes) 337.983 * * [simplify]: Extracting #0: cost 1 inf + 0 337.983 * * [simplify]: Extracting #1: cost 3 inf + 0 337.983 * * [simplify]: Extracting #2: cost 6 inf + 0 337.983 * * [simplify]: Extracting #3: cost 10 inf + 0 337.983 * * [simplify]: Extracting #4: cost 16 inf + 0 337.983 * * [simplify]: Extracting #5: cost 106 inf + 0 337.984 * * [simplify]: Extracting #6: cost 248 inf + 0 337.985 * * [simplify]: Extracting #7: cost 291 inf + 499 337.987 * * [simplify]: Extracting #8: cost 200 inf + 14371 337.995 * * [simplify]: Extracting #9: cost 106 inf + 44578 338.013 * * [simplify]: Extracting #10: cost 27 inf + 79559 338.043 * * [simplify]: Extracting #11: cost 1 inf + 100263 338.067 * * [simplify]: Extracting #12: cost 0 inf + 100928 338.087 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) 338.087 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 338.088 * * * * [progress]: [ 914 / 4754 ] simplifiying candidate # 338.088 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 338.089 * * [simplify]: iters left: 6 (46 enodes) 338.102 * * [simplify]: iters left: 5 (233 enodes) 338.177 * * [simplify]: Extracting #0: cost 1 inf + 0 338.177 * * [simplify]: Extracting #1: cost 3 inf + 0 338.177 * * [simplify]: Extracting #2: cost 6 inf + 0 338.177 * * [simplify]: Extracting #3: cost 10 inf + 0 338.177 * * [simplify]: Extracting #4: cost 20 inf + 0 338.177 * * [simplify]: Extracting #5: cost 128 inf + 0 338.178 * * [simplify]: Extracting #6: cost 275 inf + 1 338.179 * * [simplify]: Extracting #7: cost 313 inf + 948 338.182 * * [simplify]: Extracting #8: cost 211 inf + 17967 338.191 * * [simplify]: Extracting #9: cost 119 inf + 50208 338.211 * * [simplify]: Extracting #10: cost 28 inf + 92712 338.231 * * [simplify]: Extracting #11: cost 2 inf + 111083 338.262 * * [simplify]: Extracting #12: cost 0 inf + 114493 338.283 * * [simplify]: Extracting #13: cost 0 inf + 114253 338.322 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 338.322 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 338.323 * * * * [progress]: [ 915 / 4754 ] simplifiying candidate # 338.324 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 338.325 * * [simplify]: iters left: 6 (46 enodes) 338.350 * * [simplify]: iters left: 5 (232 enodes) 338.441 * * [simplify]: Extracting #0: cost 1 inf + 0 338.441 * * [simplify]: Extracting #1: cost 3 inf + 0 338.441 * * [simplify]: Extracting #2: cost 6 inf + 0 338.441 * * [simplify]: Extracting #3: cost 10 inf + 0 338.441 * * [simplify]: Extracting #4: cost 20 inf + 0 338.442 * * [simplify]: Extracting #5: cost 121 inf + 0 338.442 * * [simplify]: Extracting #6: cost 257 inf + 44 338.443 * * [simplify]: Extracting #7: cost 290 inf + 1885 338.447 * * [simplify]: Extracting #8: cost 169 inf + 25809 338.460 * * [simplify]: Extracting #9: cost 58 inf + 71036 338.493 * * [simplify]: Extracting #10: cost 10 inf + 91335 338.530 * * [simplify]: Extracting #11: cost 1 inf + 100492 338.566 * * [simplify]: Extracting #12: cost 0 inf + 100957 338.601 * * [simplify]: Extracting #13: cost 0 inf + 100917 338.636 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 338.637 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 338.638 * * * * [progress]: [ 916 / 4754 ] simplifiying candidate # 338.638 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 338.639 * * [simplify]: iters left: 6 (46 enodes) 338.659 * * [simplify]: iters left: 5 (233 enodes) 338.738 * * [simplify]: Extracting #0: cost 1 inf + 0 338.738 * * [simplify]: Extracting #1: cost 3 inf + 0 338.738 * * [simplify]: Extracting #2: cost 6 inf + 0 338.738 * * [simplify]: Extracting #3: cost 10 inf + 0 338.738 * * [simplify]: Extracting #4: cost 20 inf + 0 338.739 * * [simplify]: Extracting #5: cost 128 inf + 0 338.740 * * [simplify]: Extracting #6: cost 275 inf + 1 338.742 * * [simplify]: Extracting #7: cost 310 inf + 1152 338.748 * * [simplify]: Extracting #8: cost 211 inf + 17361 338.768 * * [simplify]: Extracting #9: cost 123 inf + 49034 338.786 * * [simplify]: Extracting #10: cost 27 inf + 94097 338.812 * * [simplify]: Extracting #11: cost 2 inf + 111843 338.835 * * [simplify]: Extracting #12: cost 0 inf + 115213 338.869 * * [simplify]: Extracting #13: cost 0 inf + 114973 338.900 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 338.901 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 338.901 * * * * [progress]: [ 917 / 4754 ] simplifiying candidate # 338.902 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 338.902 * * [simplify]: iters left: 6 (46 enodes) 338.916 * * [simplify]: iters left: 5 (231 enodes) 339.005 * * [simplify]: Extracting #0: cost 1 inf + 0 339.005 * * [simplify]: Extracting #1: cost 3 inf + 0 339.005 * * [simplify]: Extracting #2: cost 6 inf + 0 339.005 * * [simplify]: Extracting #3: cost 10 inf + 0 339.005 * * [simplify]: Extracting #4: cost 20 inf + 0 339.005 * * [simplify]: Extracting #5: cost 121 inf + 0 339.006 * * [simplify]: Extracting #6: cost 251 inf + 44 339.008 * * [simplify]: Extracting #7: cost 284 inf + 1803 339.014 * * [simplify]: Extracting #8: cost 187 inf + 17251 339.030 * * [simplify]: Extracting #9: cost 108 inf + 44631 339.059 * * [simplify]: Extracting #10: cost 16 inf + 87083 339.094 * * [simplify]: Extracting #11: cost 1 inf + 98312 339.132 * * [simplify]: Extracting #12: cost 0 inf + 99897 339.156 * * [simplify]: Extracting #13: cost 0 inf + 99737 339.179 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) 339.179 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 339.180 * * * * [progress]: [ 918 / 4754 ] simplifiying candidate # 339.181 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 339.181 * * [simplify]: iters left: 6 (48 enodes) 339.208 * * [simplify]: iters left: 5 (247 enodes) 339.293 * * [simplify]: Extracting #0: cost 1 inf + 0 339.294 * * [simplify]: Extracting #1: cost 3 inf + 0 339.294 * * [simplify]: Extracting #2: cost 6 inf + 0 339.294 * * [simplify]: Extracting #3: cost 10 inf + 0 339.294 * * [simplify]: Extracting #4: cost 16 inf + 0 339.294 * * [simplify]: Extracting #5: cost 126 inf + 0 339.295 * * [simplify]: Extracting #6: cost 297 inf + 0 339.296 * * [simplify]: Extracting #7: cost 359 inf + 1388 339.303 * * [simplify]: Extracting #8: cost 207 inf + 44071 339.336 * * [simplify]: Extracting #9: cost 39 inf + 121743 339.390 * * [simplify]: Extracting #10: cost 3 inf + 137033 339.427 * * [simplify]: Extracting #11: cost 0 inf + 135269 339.455 * * [simplify]: Extracting #12: cost 0 inf + 135109 339.500 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 339.500 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 339.501 * * * * [progress]: [ 919 / 4754 ] simplifiying candidate # 339.502 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 339.502 * * [simplify]: iters left: 6 (48 enodes) 339.522 * * [simplify]: iters left: 5 (242 enodes) 339.588 * * [simplify]: Extracting #0: cost 1 inf + 0 339.588 * * [simplify]: Extracting #1: cost 3 inf + 0 339.588 * * [simplify]: Extracting #2: cost 5 inf + 0 339.588 * * [simplify]: Extracting #3: cost 7 inf + 0 339.589 * * [simplify]: Extracting #4: cost 10 inf + 0 339.589 * * [simplify]: Extracting #5: cost 80 inf + 0 339.589 * * [simplify]: Extracting #6: cost 246 inf + 0 339.590 * * [simplify]: Extracting #7: cost 302 inf + 1024 339.593 * * [simplify]: Extracting #8: cost 193 inf + 19502 339.601 * * [simplify]: Extracting #9: cost 120 inf + 43486 339.626 * * [simplify]: Extracting #10: cost 37 inf + 80660 339.664 * * [simplify]: Extracting #11: cost 1 inf + 105184 339.697 * * [simplify]: Extracting #12: cost 0 inf + 106529 339.728 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 339.728 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 339.729 * * * * [progress]: [ 920 / 4754 ] simplifiying candidate # 339.730 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 339.730 * * [simplify]: iters left: 6 (46 enodes) 339.751 * * [simplify]: iters left: 5 (233 enodes) 339.823 * * [simplify]: Extracting #0: cost 1 inf + 0 339.824 * * [simplify]: Extracting #1: cost 3 inf + 0 339.824 * * [simplify]: Extracting #2: cost 5 inf + 0 339.824 * * [simplify]: Extracting #3: cost 7 inf + 0 339.824 * * [simplify]: Extracting #4: cost 10 inf + 0 339.824 * * [simplify]: Extracting #5: cost 74 inf + 0 339.824 * * [simplify]: Extracting #6: cost 225 inf + 0 339.825 * * [simplify]: Extracting #7: cost 276 inf + 540 339.829 * * [simplify]: Extracting #8: cost 152 inf + 24085 339.841 * * [simplify]: Extracting #9: cost 46 inf + 67509 339.860 * * [simplify]: Extracting #10: cost 5 inf + 89900 339.893 * * [simplify]: Extracting #11: cost 0 inf + 92306 339.927 * * [simplify]: Extracting #12: cost 0 inf + 92226 339.962 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 339.962 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 339.963 * * * * [progress]: [ 921 / 4754 ] simplifiying candidate # 339.964 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 339.964 * * [simplify]: iters left: 6 (48 enodes) 339.993 * * [simplify]: iters left: 5 (247 enodes) 340.084 * * [simplify]: Extracting #0: cost 1 inf + 0 340.084 * * [simplify]: Extracting #1: cost 3 inf + 0 340.085 * * [simplify]: Extracting #2: cost 6 inf + 0 340.085 * * [simplify]: Extracting #3: cost 10 inf + 0 340.085 * * [simplify]: Extracting #4: cost 16 inf + 0 340.085 * * [simplify]: Extracting #5: cost 126 inf + 0 340.085 * * [simplify]: Extracting #6: cost 274 inf + 0 340.086 * * [simplify]: Extracting #7: cost 315 inf + 1392 340.091 * * [simplify]: Extracting #8: cost 181 inf + 28270 340.107 * * [simplify]: Extracting #9: cost 54 inf + 88879 340.141 * * [simplify]: Extracting #10: cost 10 inf + 110206 340.162 * * [simplify]: Extracting #11: cost 0 inf + 113252 340.193 * * [simplify]: Extracting #12: cost 0 inf + 113132 340.232 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) 340.233 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 340.234 * * * * [progress]: [ 922 / 4754 ] simplifiying candidate # 340.234 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 340.235 * * [simplify]: iters left: 6 (48 enodes) 340.262 * * [simplify]: iters left: 5 (247 enodes) 340.351 * * [simplify]: Extracting #0: cost 1 inf + 0 340.351 * * [simplify]: Extracting #1: cost 3 inf + 0 340.351 * * [simplify]: Extracting #2: cost 6 inf + 0 340.351 * * [simplify]: Extracting #3: cost 10 inf + 0 340.351 * * [simplify]: Extracting #4: cost 20 inf + 0 340.352 * * [simplify]: Extracting #5: cost 151 inf + 0 340.352 * * [simplify]: Extracting #6: cost 307 inf + 1 340.354 * * [simplify]: Extracting #7: cost 350 inf + 948 340.360 * * [simplify]: Extracting #8: cost 195 inf + 42918 340.379 * * [simplify]: Extracting #9: cost 42 inf + 109401 340.408 * * [simplify]: Extracting #10: cost 7 inf + 129412 340.432 * * [simplify]: Extracting #11: cost 0 inf + 131362 340.456 * * [simplify]: Extracting #12: cost 0 inf + 130962 340.486 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 340.486 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 340.486 * * * * [progress]: [ 923 / 4754 ] simplifiying candidate # 340.487 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 340.487 * * [simplify]: iters left: 6 (48 enodes) 340.501 * * [simplify]: iters left: 5 (247 enodes) 340.579 * * [simplify]: Extracting #0: cost 1 inf + 0 340.579 * * [simplify]: Extracting #1: cost 3 inf + 0 340.579 * * [simplify]: Extracting #2: cost 6 inf + 0 340.579 * * [simplify]: Extracting #3: cost 10 inf + 0 340.579 * * [simplify]: Extracting #4: cost 20 inf + 0 340.580 * * [simplify]: Extracting #5: cost 151 inf + 0 340.581 * * [simplify]: Extracting #6: cost 290 inf + 44 340.584 * * [simplify]: Extracting #7: cost 326 inf + 2130 340.594 * * [simplify]: Extracting #8: cost 192 inf + 31479 340.627 * * [simplify]: Extracting #9: cost 38 inf + 100320 340.651 * * [simplify]: Extracting #10: cost 4 inf + 116810 340.681 * * [simplify]: Extracting #11: cost 0 inf + 117871 340.725 * * [simplify]: Extracting #12: cost 0 inf + 117711 340.769 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 340.769 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 340.770 * * * * [progress]: [ 924 / 4754 ] simplifiying candidate # 340.770 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 340.771 * * [simplify]: iters left: 6 (48 enodes) 340.798 * * [simplify]: iters left: 5 (247 enodes) 340.918 * * [simplify]: Extracting #0: cost 1 inf + 0 340.918 * * [simplify]: Extracting #1: cost 3 inf + 0 340.918 * * [simplify]: Extracting #2: cost 6 inf + 0 340.918 * * [simplify]: Extracting #3: cost 10 inf + 0 340.918 * * [simplify]: Extracting #4: cost 20 inf + 0 340.919 * * [simplify]: Extracting #5: cost 152 inf + 0 340.920 * * [simplify]: Extracting #6: cost 307 inf + 1 340.923 * * [simplify]: Extracting #7: cost 348 inf + 1273 340.934 * * [simplify]: Extracting #8: cost 202 inf + 40300 340.958 * * [simplify]: Extracting #9: cost 40 inf + 113089 340.989 * * [simplify]: Extracting #10: cost 3 inf + 133353 341.036 * * [simplify]: Extracting #11: cost 0 inf + 132322 341.083 * * [simplify]: Extracting #12: cost 0 inf + 132082 341.123 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 341.123 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 341.125 * * * * [progress]: [ 925 / 4754 ] simplifiying candidate # 341.125 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 341.125 * * [simplify]: iters left: 6 (48 enodes) 341.138 * * [simplify]: iters left: 5 (247 enodes) 341.228 * * [simplify]: Extracting #0: cost 1 inf + 0 341.228 * * [simplify]: Extracting #1: cost 3 inf + 0 341.228 * * [simplify]: Extracting #2: cost 6 inf + 0 341.228 * * [simplify]: Extracting #3: cost 10 inf + 0 341.228 * * [simplify]: Extracting #4: cost 20 inf + 0 341.228 * * [simplify]: Extracting #5: cost 150 inf + 0 341.229 * * [simplify]: Extracting #6: cost 288 inf + 44 341.230 * * [simplify]: Extracting #7: cost 326 inf + 1884 341.235 * * [simplify]: Extracting #8: cost 210 inf + 25118 341.248 * * [simplify]: Extracting #9: cost 121 inf + 56199 341.277 * * [simplify]: Extracting #10: cost 17 inf + 104024 341.298 * * [simplify]: Extracting #11: cost 1 inf + 115998 341.337 * * [simplify]: Extracting #12: cost 0 inf + 117783 341.359 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 341.359 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 341.360 * * * * [progress]: [ 926 / 4754 ] simplifiying candidate # 341.360 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 341.360 * * [simplify]: iters left: 6 (48 enodes) 341.381 * * [simplify]: iters left: 5 (255 enodes) 341.487 * * [simplify]: Extracting #0: cost 1 inf + 0 341.487 * * [simplify]: Extracting #1: cost 3 inf + 0 341.487 * * [simplify]: Extracting #2: cost 6 inf + 0 341.487 * * [simplify]: Extracting #3: cost 10 inf + 0 341.487 * * [simplify]: Extracting #4: cost 16 inf + 0 341.487 * * [simplify]: Extracting #5: cost 120 inf + 0 341.488 * * [simplify]: Extracting #6: cost 314 inf + 0 341.489 * * [simplify]: Extracting #7: cost 372 inf + 1108 341.496 * * [simplify]: Extracting #8: cost 196 inf + 46785 341.522 * * [simplify]: Extracting #9: cost 36 inf + 108711 341.568 * * [simplify]: Extracting #10: cost 9 inf + 119530 341.611 * * [simplify]: Extracting #11: cost 2 inf + 123293 341.658 * * [simplify]: Extracting #12: cost 0 inf + 126503 341.703 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 341.703 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 341.704 * * * * [progress]: [ 927 / 4754 ] simplifiying candidate # 341.704 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 341.705 * * [simplify]: iters left: 6 (48 enodes) 341.734 * * [simplify]: iters left: 5 (249 enodes) 341.849 * * [simplify]: Extracting #0: cost 1 inf + 0 341.849 * * [simplify]: Extracting #1: cost 3 inf + 0 341.849 * * [simplify]: Extracting #2: cost 6 inf + 0 341.849 * * [simplify]: Extracting #3: cost 10 inf + 0 341.849 * * [simplify]: Extracting #4: cost 16 inf + 0 341.850 * * [simplify]: Extracting #5: cost 113 inf + 0 341.851 * * [simplify]: Extracting #6: cost 268 inf + 0 341.853 * * [simplify]: Extracting #7: cost 325 inf + 1068 341.868 * * [simplify]: Extracting #8: cost 187 inf + 30222 341.887 * * [simplify]: Extracting #9: cost 34 inf + 96229 341.909 * * [simplify]: Extracting #10: cost 4 inf + 114189 341.950 * * [simplify]: Extracting #11: cost 0 inf + 115037 341.993 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))) 341.993 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 341.994 * * * * [progress]: [ 928 / 4754 ] simplifiying candidate # 341.995 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 341.995 * * [simplify]: iters left: 6 (46 enodes) 342.022 * * [simplify]: iters left: 5 (237 enodes) 342.108 * * [simplify]: Extracting #0: cost 1 inf + 0 342.108 * * [simplify]: Extracting #1: cost 3 inf + 0 342.108 * * [simplify]: Extracting #2: cost 6 inf + 0 342.108 * * [simplify]: Extracting #3: cost 10 inf + 0 342.108 * * [simplify]: Extracting #4: cost 16 inf + 0 342.108 * * [simplify]: Extracting #5: cost 111 inf + 0 342.109 * * [simplify]: Extracting #6: cost 268 inf + 0 342.114 * * [simplify]: Extracting #7: cost 313 inf + 862 342.119 * * [simplify]: Extracting #8: cost 236 inf + 11257 342.129 * * [simplify]: Extracting #9: cost 153 inf + 30943 342.142 * * [simplify]: Extracting #10: cost 42 inf + 76552 342.159 * * [simplify]: Extracting #11: cost 6 inf + 96670 342.180 * * [simplify]: Extracting #12: cost 2 inf + 102530 342.202 * * [simplify]: Extracting #13: cost 0 inf + 105900 342.235 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 342.235 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 342.236 * * * * [progress]: [ 929 / 4754 ] simplifiying candidate # 342.236 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 342.236 * * [simplify]: iters left: 6 (48 enodes) 342.250 * * [simplify]: iters left: 5 (255 enodes) 342.358 * * [simplify]: Extracting #0: cost 1 inf + 0 342.358 * * [simplify]: Extracting #1: cost 3 inf + 0 342.358 * * [simplify]: Extracting #2: cost 6 inf + 0 342.358 * * [simplify]: Extracting #3: cost 10 inf + 0 342.358 * * [simplify]: Extracting #4: cost 16 inf + 0 342.358 * * [simplify]: Extracting #5: cost 118 inf + 0 342.359 * * [simplify]: Extracting #6: cost 302 inf + 0 342.360 * * [simplify]: Extracting #7: cost 344 inf + 662 342.363 * * [simplify]: Extracting #8: cost 248 inf + 13949 342.372 * * [simplify]: Extracting #9: cost 124 inf + 53683 342.403 * * [simplify]: Extracting #10: cost 12 inf + 100901 342.428 * * [simplify]: Extracting #11: cost 2 inf + 106438 342.460 * * [simplify]: Extracting #12: cost 0 inf + 109568 342.488 * * [simplify]: Extracting #13: cost 0 inf + 109488 342.513 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ lambda2 lambda1)))))) 342.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 342.514 * * * * [progress]: [ 930 / 4754 ] simplifiying candidate # 342.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 342.515 * * [simplify]: iters left: 6 (48 enodes) 342.528 * * [simplify]: iters left: 5 (251 enodes) 342.603 * * [simplify]: Extracting #0: cost 1 inf + 0 342.603 * * [simplify]: Extracting #1: cost 3 inf + 0 342.603 * * [simplify]: Extracting #2: cost 6 inf + 0 342.603 * * [simplify]: Extracting #3: cost 10 inf + 0 342.603 * * [simplify]: Extracting #4: cost 20 inf + 0 342.603 * * [simplify]: Extracting #5: cost 138 inf + 0 342.605 * * [simplify]: Extracting #6: cost 306 inf + 1 342.607 * * [simplify]: Extracting #7: cost 335 inf + 2407 342.618 * * [simplify]: Extracting #8: cost 194 inf + 33063 342.650 * * [simplify]: Extracting #9: cost 63 inf + 84582 342.691 * * [simplify]: Extracting #10: cost 5 inf + 114683 342.731 * * [simplify]: Extracting #11: cost 0 inf + 116876 342.752 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 342.752 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 342.753 * * * * [progress]: [ 931 / 4754 ] simplifiying candidate # 342.753 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 342.753 * * [simplify]: iters left: 6 (48 enodes) 342.777 * * [simplify]: iters left: 5 (251 enodes) 342.867 * * [simplify]: Extracting #0: cost 1 inf + 0 342.867 * * [simplify]: Extracting #1: cost 3 inf + 0 342.867 * * [simplify]: Extracting #2: cost 6 inf + 0 342.867 * * [simplify]: Extracting #3: cost 10 inf + 0 342.867 * * [simplify]: Extracting #4: cost 20 inf + 0 342.867 * * [simplify]: Extracting #5: cost 128 inf + 0 342.868 * * [simplify]: Extracting #6: cost 289 inf + 44 342.869 * * [simplify]: Extracting #7: cost 328 inf + 1233 342.874 * * [simplify]: Extracting #8: cost 188 inf + 30913 342.902 * * [simplify]: Extracting #9: cost 44 inf + 81068 342.938 * * [simplify]: Extracting #10: cost 2 inf + 103647 342.975 * * [simplify]: Extracting #11: cost 0 inf + 105484 342.999 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 343.000 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 343.000 * * * * [progress]: [ 932 / 4754 ] simplifiying candidate # 343.001 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 343.001 * * [simplify]: iters left: 6 (48 enodes) 343.014 * * [simplify]: iters left: 5 (251 enodes) 343.126 * * [simplify]: Extracting #0: cost 1 inf + 0 343.126 * * [simplify]: Extracting #1: cost 3 inf + 0 343.127 * * [simplify]: Extracting #2: cost 6 inf + 0 343.127 * * [simplify]: Extracting #3: cost 10 inf + 0 343.127 * * [simplify]: Extracting #4: cost 20 inf + 0 343.127 * * [simplify]: Extracting #5: cost 138 inf + 0 343.128 * * [simplify]: Extracting #6: cost 306 inf + 1 343.129 * * [simplify]: Extracting #7: cost 335 inf + 2407 343.134 * * [simplify]: Extracting #8: cost 194 inf + 32882 343.152 * * [simplify]: Extracting #9: cost 62 inf + 85545 343.179 * * [simplify]: Extracting #10: cost 5 inf + 115323 343.221 * * [simplify]: Extracting #11: cost 0 inf + 117516 343.263 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 343.263 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 343.264 * * * * [progress]: [ 933 / 4754 ] simplifiying candidate # 343.265 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 343.265 * * [simplify]: iters left: 6 (48 enodes) 343.294 * * [simplify]: iters left: 5 (251 enodes) 343.397 * * [simplify]: Extracting #0: cost 1 inf + 0 343.397 * * [simplify]: Extracting #1: cost 3 inf + 0 343.397 * * [simplify]: Extracting #2: cost 6 inf + 0 343.397 * * [simplify]: Extracting #3: cost 10 inf + 0 343.397 * * [simplify]: Extracting #4: cost 20 inf + 0 343.398 * * [simplify]: Extracting #5: cost 127 inf + 0 343.398 * * [simplify]: Extracting #6: cost 289 inf + 44 343.400 * * [simplify]: Extracting #7: cost 329 inf + 1151 343.408 * * [simplify]: Extracting #8: cost 185 inf + 32325 343.430 * * [simplify]: Extracting #9: cost 39 inf + 83349 343.449 * * [simplify]: Extracting #10: cost 4 inf + 103663 343.477 * * [simplify]: Extracting #11: cost 0 inf + 105764 343.508 * * [simplify]: Extracting #12: cost 0 inf + 105724 343.529 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 343.529 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 343.529 * * * * [progress]: [ 934 / 4754 ] simplifiying candidate # 343.530 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 343.530 * * [simplify]: iters left: 6 (49 enodes) 343.543 * * [simplify]: iters left: 5 (247 enodes) 343.605 * * [simplify]: Extracting #0: cost 1 inf + 0 343.605 * * [simplify]: Extracting #1: cost 3 inf + 0 343.605 * * [simplify]: Extracting #2: cost 6 inf + 0 343.606 * * [simplify]: Extracting #3: cost 10 inf + 0 343.606 * * [simplify]: Extracting #4: cost 16 inf + 0 343.606 * * [simplify]: Extracting #5: cost 116 inf + 0 343.607 * * [simplify]: Extracting #6: cost 291 inf + 0 343.610 * * [simplify]: Extracting #7: cost 352 inf + 1307 343.623 * * [simplify]: Extracting #8: cost 200 inf + 38513 343.656 * * [simplify]: Extracting #9: cost 58 inf + 97678 343.700 * * [simplify]: Extracting #10: cost 5 inf + 126710 343.736 * * [simplify]: Extracting #11: cost 0 inf + 128956 343.759 * * [simplify]: Extracting #12: cost 0 inf + 128876 343.791 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 343.791 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 343.791 * * * * [progress]: [ 935 / 4754 ] simplifiying candidate # 343.792 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 343.792 * * [simplify]: iters left: 6 (49 enodes) 343.807 * * [simplify]: iters left: 5 (245 enodes) 343.911 * * [simplify]: Extracting #0: cost 1 inf + 0 343.911 * * [simplify]: Extracting #1: cost 3 inf + 0 343.911 * * [simplify]: Extracting #2: cost 6 inf + 0 343.911 * * [simplify]: Extracting #3: cost 10 inf + 0 343.911 * * [simplify]: Extracting #4: cost 16 inf + 0 343.912 * * [simplify]: Extracting #5: cost 122 inf + 0 343.913 * * [simplify]: Extracting #6: cost 286 inf + 0 343.915 * * [simplify]: Extracting #7: cost 342 inf + 1313 343.923 * * [simplify]: Extracting #8: cost 233 inf + 19956 343.946 * * [simplify]: Extracting #9: cost 112 inf + 71428 343.993 * * [simplify]: Extracting #10: cost 8 inf + 126533 344.025 * * [simplify]: Extracting #11: cost 0 inf + 131427 344.056 * * [simplify]: Extracting #12: cost 0 inf + 131307 344.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 344.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 344.081 * * * * [progress]: [ 936 / 4754 ] simplifiying candidate # 344.082 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 344.082 * * [simplify]: iters left: 6 (47 enodes) 344.104 * * [simplify]: iters left: 5 (235 enodes) 344.171 * * [simplify]: Extracting #0: cost 1 inf + 0 344.171 * * [simplify]: Extracting #1: cost 3 inf + 0 344.171 * * [simplify]: Extracting #2: cost 6 inf + 0 344.171 * * [simplify]: Extracting #3: cost 10 inf + 0 344.171 * * [simplify]: Extracting #4: cost 16 inf + 0 344.171 * * [simplify]: Extracting #5: cost 113 inf + 0 344.172 * * [simplify]: Extracting #6: cost 271 inf + 0 344.173 * * [simplify]: Extracting #7: cost 313 inf + 1152 344.179 * * [simplify]: Extracting #8: cost 219 inf + 16316 344.187 * * [simplify]: Extracting #9: cost 125 inf + 49051 344.202 * * [simplify]: Extracting #10: cost 31 inf + 92082 344.230 * * [simplify]: Extracting #11: cost 5 inf + 109146 344.256 * * [simplify]: Extracting #12: cost 1 inf + 114886 344.285 * * [simplify]: Extracting #13: cost 0 inf + 116591 344.328 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 344.328 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 344.329 * * * * [progress]: [ 937 / 4754 ] simplifiying candidate # 344.330 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 344.330 * * [simplify]: iters left: 6 (49 enodes) 344.358 * * [simplify]: iters left: 5 (247 enodes) 344.431 * * [simplify]: Extracting #0: cost 1 inf + 0 344.431 * * [simplify]: Extracting #1: cost 3 inf + 0 344.431 * * [simplify]: Extracting #2: cost 6 inf + 0 344.431 * * [simplify]: Extracting #3: cost 10 inf + 0 344.431 * * [simplify]: Extracting #4: cost 16 inf + 0 344.432 * * [simplify]: Extracting #5: cost 114 inf + 0 344.432 * * [simplify]: Extracting #6: cost 281 inf + 0 344.434 * * [simplify]: Extracting #7: cost 321 inf + 1270 344.440 * * [simplify]: Extracting #8: cost 201 inf + 26672 344.462 * * [simplify]: Extracting #9: cost 55 inf + 91713 344.487 * * [simplify]: Extracting #10: cost 3 inf + 112626 344.528 * * [simplify]: Extracting #11: cost 0 inf + 111913 344.548 * * [simplify]: Extracting #12: cost 0 inf + 111713 344.577 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 344.577 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 344.577 * * * * [progress]: [ 938 / 4754 ] simplifiying candidate # 344.578 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 344.578 * * [simplify]: iters left: 6 (49 enodes) 344.591 * * [simplify]: iters left: 5 (247 enodes) 344.679 * * [simplify]: Extracting #0: cost 1 inf + 0 344.679 * * [simplify]: Extracting #1: cost 3 inf + 0 344.680 * * [simplify]: Extracting #2: cost 6 inf + 0 344.680 * * [simplify]: Extracting #3: cost 10 inf + 0 344.680 * * [simplify]: Extracting #4: cost 20 inf + 0 344.680 * * [simplify]: Extracting #5: cost 138 inf + 0 344.681 * * [simplify]: Extracting #6: cost 299 inf + 1 344.682 * * [simplify]: Extracting #7: cost 338 inf + 1114 344.685 * * [simplify]: Extracting #8: cost 251 inf + 13335 344.696 * * [simplify]: Extracting #9: cost 131 inf + 62421 344.729 * * [simplify]: Extracting #10: cost 6 inf + 121687 344.753 * * [simplify]: Extracting #11: cost 0 inf + 122583 344.785 * * [simplify]: Extracting #12: cost 0 inf + 122543 344.808 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 344.808 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 344.809 * * * * [progress]: [ 939 / 4754 ] simplifiying candidate # 344.810 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 344.810 * * [simplify]: iters left: 6 (49 enodes) 344.835 * * [simplify]: iters left: 5 (247 enodes) 344.935 * * [simplify]: Extracting #0: cost 1 inf + 0 344.935 * * [simplify]: Extracting #1: cost 3 inf + 0 344.936 * * [simplify]: Extracting #2: cost 6 inf + 0 344.936 * * [simplify]: Extracting #3: cost 10 inf + 0 344.936 * * [simplify]: Extracting #4: cost 20 inf + 0 344.936 * * [simplify]: Extracting #5: cost 130 inf + 0 344.937 * * [simplify]: Extracting #6: cost 282 inf + 86 344.940 * * [simplify]: Extracting #7: cost 307 inf + 3347 344.948 * * [simplify]: Extracting #8: cost 181 inf + 29850 344.967 * * [simplify]: Extracting #9: cost 53 inf + 83764 344.989 * * [simplify]: Extracting #10: cost 10 inf + 104806 345.013 * * [simplify]: Extracting #11: cost 0 inf + 110758 345.037 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 345.038 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 345.039 * * * * [progress]: [ 940 / 4754 ] simplifiying candidate # 345.039 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 345.040 * * [simplify]: iters left: 6 (49 enodes) 345.068 * * [simplify]: iters left: 5 (247 enodes) 345.177 * * [simplify]: Extracting #0: cost 1 inf + 0 345.177 * * [simplify]: Extracting #1: cost 3 inf + 0 345.177 * * [simplify]: Extracting #2: cost 6 inf + 0 345.177 * * [simplify]: Extracting #3: cost 10 inf + 0 345.177 * * [simplify]: Extracting #4: cost 20 inf + 0 345.177 * * [simplify]: Extracting #5: cost 138 inf + 0 345.178 * * [simplify]: Extracting #6: cost 299 inf + 1 345.179 * * [simplify]: Extracting #7: cost 338 inf + 1114 345.182 * * [simplify]: Extracting #8: cost 251 inf + 13335 345.195 * * [simplify]: Extracting #9: cost 131 inf + 62581 345.227 * * [simplify]: Extracting #10: cost 6 inf + 122327 345.262 * * [simplify]: Extracting #11: cost 0 inf + 123223 345.288 * * [simplify]: Extracting #12: cost 0 inf + 123183 345.322 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 345.323 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 345.323 * * * * [progress]: [ 941 / 4754 ] simplifiying candidate # 345.323 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 345.324 * * [simplify]: iters left: 6 (49 enodes) 345.337 * * [simplify]: iters left: 5 (247 enodes) 345.414 * * [simplify]: Extracting #0: cost 1 inf + 0 345.414 * * [simplify]: Extracting #1: cost 3 inf + 0 345.414 * * [simplify]: Extracting #2: cost 6 inf + 0 345.414 * * [simplify]: Extracting #3: cost 10 inf + 0 345.414 * * [simplify]: Extracting #4: cost 20 inf + 0 345.414 * * [simplify]: Extracting #5: cost 129 inf + 0 345.415 * * [simplify]: Extracting #6: cost 282 inf + 86 345.416 * * [simplify]: Extracting #7: cost 308 inf + 3146 345.421 * * [simplify]: Extracting #8: cost 184 inf + 28727 345.440 * * [simplify]: Extracting #9: cost 54 inf + 85328 345.477 * * [simplify]: Extracting #10: cost 11 inf + 105394 345.501 * * [simplify]: Extracting #11: cost 0 inf + 111318 345.523 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi1 phi1) phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi2 phi2) (- phi2)))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ lambda2 lambda1))))))) 345.523 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi1 phi1) phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi2 phi2) (- phi2)))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 345.524 * * * * [progress]: [ 942 / 4754 ] simplifiying candidate # 345.524 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 345.525 * * [simplify]: iters left: 6 (49 enodes) 345.539 * * [simplify]: iters left: 5 (246 enodes) 345.656 * * [simplify]: Extracting #0: cost 1 inf + 0 345.656 * * [simplify]: Extracting #1: cost 3 inf + 0 345.656 * * [simplify]: Extracting #2: cost 6 inf + 0 345.656 * * [simplify]: Extracting #3: cost 10 inf + 0 345.656 * * [simplify]: Extracting #4: cost 16 inf + 0 345.657 * * [simplify]: Extracting #5: cost 111 inf + 0 345.658 * * [simplify]: Extracting #6: cost 286 inf + 0 345.660 * * [simplify]: Extracting #7: cost 346 inf + 1149 345.668 * * [simplify]: Extracting #8: cost 216 inf + 22906 345.686 * * [simplify]: Extracting #9: cost 118 inf + 57408 345.708 * * [simplify]: Extracting #10: cost 13 inf + 109528 345.734 * * [simplify]: Extracting #11: cost 2 inf + 115564 345.779 * * [simplify]: Extracting #12: cost 0 inf + 118934 345.821 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 345.821 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 345.822 * * * * [progress]: [ 943 / 4754 ] simplifiying candidate # 345.823 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 345.823 * * [simplify]: iters left: 6 (49 enodes) 345.837 * * [simplify]: iters left: 5 (244 enodes) 345.923 * * [simplify]: Extracting #0: cost 1 inf + 0 345.923 * * [simplify]: Extracting #1: cost 3 inf + 0 345.923 * * [simplify]: Extracting #2: cost 6 inf + 0 345.923 * * [simplify]: Extracting #3: cost 10 inf + 0 345.923 * * [simplify]: Extracting #4: cost 16 inf + 0 345.923 * * [simplify]: Extracting #5: cost 115 inf + 0 345.924 * * [simplify]: Extracting #6: cost 263 inf + 0 345.925 * * [simplify]: Extracting #7: cost 321 inf + 1311 345.930 * * [simplify]: Extracting #8: cost 195 inf + 28324 345.944 * * [simplify]: Extracting #9: cost 78 inf + 74925 345.962 * * [simplify]: Extracting #10: cost 14 inf + 102007 345.996 * * [simplify]: Extracting #11: cost 2 inf + 111453 346.018 * * [simplify]: Extracting #12: cost 0 inf + 114823 346.045 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 346.045 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 346.047 * * * * [progress]: [ 944 / 4754 ] simplifiying candidate # 346.047 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 346.048 * * [simplify]: iters left: 6 (47 enodes) 346.074 * * [simplify]: iters left: 5 (232 enodes) 346.178 * * [simplify]: Extracting #0: cost 1 inf + 0 346.178 * * [simplify]: Extracting #1: cost 3 inf + 0 346.178 * * [simplify]: Extracting #2: cost 6 inf + 0 346.178 * * [simplify]: Extracting #3: cost 10 inf + 0 346.178 * * [simplify]: Extracting #4: cost 16 inf + 0 346.178 * * [simplify]: Extracting #5: cost 108 inf + 0 346.179 * * [simplify]: Extracting #6: cost 258 inf + 0 346.182 * * [simplify]: Extracting #7: cost 298 inf + 1476 346.187 * * [simplify]: Extracting #8: cost 199 inf + 16773 346.201 * * [simplify]: Extracting #9: cost 127 inf + 41016 346.226 * * [simplify]: Extracting #10: cost 46 inf + 76041 346.255 * * [simplify]: Extracting #11: cost 5 inf + 98465 346.273 * * [simplify]: Extracting #12: cost 1 inf + 103045 346.306 * * [simplify]: Extracting #13: cost 0 inf + 104310 346.342 * * [simplify]: Extracting #14: cost 0 inf + 104150 346.361 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))))))) 346.361 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 346.362 * * * * [progress]: [ 945 / 4754 ] simplifiying candidate # 346.362 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 346.363 * * [simplify]: iters left: 6 (49 enodes) 346.384 * * [simplify]: iters left: 5 (246 enodes) 346.461 * * [simplify]: Extracting #0: cost 1 inf + 0 346.461 * * [simplify]: Extracting #1: cost 3 inf + 0 346.461 * * [simplify]: Extracting #2: cost 6 inf + 0 346.461 * * [simplify]: Extracting #3: cost 10 inf + 0 346.464 * * [simplify]: Extracting #4: cost 16 inf + 0 346.464 * * [simplify]: Extracting #5: cost 109 inf + 0 346.465 * * [simplify]: Extracting #6: cost 277 inf + 0 346.466 * * [simplify]: Extracting #7: cost 313 inf + 1599 346.469 * * [simplify]: Extracting #8: cost 211 inf + 16658 346.476 * * [simplify]: Extracting #9: cost 142 inf + 37523 346.498 * * [simplify]: Extracting #10: cost 50 inf + 72859 346.521 * * [simplify]: Extracting #11: cost 8 inf + 93695 346.540 * * [simplify]: Extracting #12: cost 2 inf + 101205 346.561 * * [simplify]: Extracting #13: cost 0 inf + 104255 346.594 * * [simplify]: Extracting #14: cost 0 inf + 104175 346.625 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 346.625 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 346.626 * * * * [progress]: [ 946 / 4754 ] simplifiying candidate # 346.626 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 346.626 * * [simplify]: iters left: 6 (49 enodes) 346.640 * * [simplify]: iters left: 5 (246 enodes) 346.714 * * [simplify]: Extracting #0: cost 1 inf + 0 346.714 * * [simplify]: Extracting #1: cost 3 inf + 0 346.714 * * [simplify]: Extracting #2: cost 6 inf + 0 346.714 * * [simplify]: Extracting #3: cost 10 inf + 0 346.714 * * [simplify]: Extracting #4: cost 20 inf + 0 346.714 * * [simplify]: Extracting #5: cost 133 inf + 0 346.715 * * [simplify]: Extracting #6: cost 294 inf + 1 346.716 * * [simplify]: Extracting #7: cost 333 inf + 1152 346.721 * * [simplify]: Extracting #8: cost 204 inf + 27215 346.736 * * [simplify]: Extracting #9: cost 52 inf + 85383 346.756 * * [simplify]: Extracting #10: cost 7 inf + 108789 346.787 * * [simplify]: Extracting #11: cost 0 inf + 113081 346.819 * * [simplify]: Extracting #12: cost 0 inf + 112601 346.840 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 346.840 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 346.840 * * * * [progress]: [ 947 / 4754 ] simplifiying candidate # 346.841 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 346.841 * * [simplify]: iters left: 6 (49 enodes) 346.863 * * [simplify]: iters left: 5 (246 enodes) 346.931 * * [simplify]: Extracting #0: cost 1 inf + 0 346.931 * * [simplify]: Extracting #1: cost 3 inf + 0 346.931 * * [simplify]: Extracting #2: cost 6 inf + 0 346.931 * * [simplify]: Extracting #3: cost 10 inf + 0 346.931 * * [simplify]: Extracting #4: cost 20 inf + 0 346.931 * * [simplify]: Extracting #5: cost 125 inf + 0 346.932 * * [simplify]: Extracting #6: cost 278 inf + 86 346.933 * * [simplify]: Extracting #7: cost 302 inf + 3714 346.939 * * [simplify]: Extracting #8: cost 157 inf + 34283 346.957 * * [simplify]: Extracting #9: cost 64 inf + 68634 346.984 * * [simplify]: Extracting #10: cost 8 inf + 98196 347.003 * * [simplify]: Extracting #11: cost 0 inf + 103020 347.022 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))))))) 347.022 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 347.022 * * * * [progress]: [ 948 / 4754 ] simplifiying candidate # 347.023 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 347.023 * * [simplify]: iters left: 6 (49 enodes) 347.036 * * [simplify]: iters left: 5 (246 enodes) 347.116 * * [simplify]: Extracting #0: cost 1 inf + 0 347.116 * * [simplify]: Extracting #1: cost 3 inf + 0 347.116 * * [simplify]: Extracting #2: cost 6 inf + 0 347.116 * * [simplify]: Extracting #3: cost 10 inf + 0 347.116 * * [simplify]: Extracting #4: cost 20 inf + 0 347.116 * * [simplify]: Extracting #5: cost 133 inf + 0 347.118 * * [simplify]: Extracting #6: cost 294 inf + 1 347.120 * * [simplify]: Extracting #7: cost 333 inf + 1152 347.129 * * [simplify]: Extracting #8: cost 202 inf + 28467 347.144 * * [simplify]: Extracting #9: cost 49 inf + 86915 347.171 * * [simplify]: Extracting #10: cost 7 inf + 109349 347.193 * * [simplify]: Extracting #11: cost 0 inf + 113561 347.219 * * [simplify]: Extracting #12: cost 0 inf + 113081 347.247 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 347.247 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 347.247 * * * * [progress]: [ 949 / 4754 ] simplifiying candidate # 347.248 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 347.248 * * [simplify]: iters left: 6 (49 enodes) 347.263 * * [simplify]: iters left: 5 (246 enodes) 347.347 * * [simplify]: Extracting #0: cost 1 inf + 0 347.347 * * [simplify]: Extracting #1: cost 3 inf + 0 347.347 * * [simplify]: Extracting #2: cost 6 inf + 0 347.347 * * [simplify]: Extracting #3: cost 10 inf + 0 347.348 * * [simplify]: Extracting #4: cost 20 inf + 0 347.348 * * [simplify]: Extracting #5: cost 124 inf + 0 347.349 * * [simplify]: Extracting #6: cost 278 inf + 86 347.352 * * [simplify]: Extracting #7: cost 303 inf + 3350 347.367 * * [simplify]: Extracting #8: cost 162 inf + 31623 347.390 * * [simplify]: Extracting #9: cost 62 inf + 69785 347.428 * * [simplify]: Extracting #10: cost 9 inf + 97933 347.467 * * [simplify]: Extracting #11: cost 0 inf + 103260 347.506 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))))))) 347.506 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 347.507 * * * * [progress]: [ 950 / 4754 ] simplifiying candidate # 347.507 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 347.508 * * [simplify]: iters left: 6 (49 enodes) 347.535 * * [simplify]: iters left: 5 (247 enodes) 347.605 * * [simplify]: Extracting #0: cost 1 inf + 0 347.605 * * [simplify]: Extracting #1: cost 3 inf + 0 347.605 * * [simplify]: Extracting #2: cost 6 inf + 0 347.605 * * [simplify]: Extracting #3: cost 10 inf + 0 347.605 * * [simplify]: Extracting #4: cost 16 inf + 0 347.605 * * [simplify]: Extracting #5: cost 115 inf + 0 347.606 * * [simplify]: Extracting #6: cost 289 inf + 0 347.607 * * [simplify]: Extracting #7: cost 352 inf + 1266 347.616 * * [simplify]: Extracting #8: cost 199 inf + 41506 347.634 * * [simplify]: Extracting #9: cost 52 inf + 102569 347.678 * * [simplify]: Extracting #10: cost 4 inf + 127495 347.722 * * [simplify]: Extracting #11: cost 0 inf + 128196 347.749 * * [simplify]: Extracting #12: cost 0 inf + 127996 347.782 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 347.783 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 347.784 * * * * [progress]: [ 951 / 4754 ] simplifiying candidate # 347.784 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 347.785 * * [simplify]: iters left: 6 (49 enodes) 347.812 * * [simplify]: iters left: 5 (245 enodes) 347.889 * * [simplify]: Extracting #0: cost 1 inf + 0 347.889 * * [simplify]: Extracting #1: cost 3 inf + 0 347.889 * * [simplify]: Extracting #2: cost 6 inf + 0 347.889 * * [simplify]: Extracting #3: cost 10 inf + 0 347.889 * * [simplify]: Extracting #4: cost 16 inf + 0 347.889 * * [simplify]: Extracting #5: cost 120 inf + 0 347.890 * * [simplify]: Extracting #6: cost 284 inf + 0 347.891 * * [simplify]: Extracting #7: cost 344 inf + 1108 347.894 * * [simplify]: Extracting #8: cost 234 inf + 19552 347.906 * * [simplify]: Extracting #9: cost 102 inf + 76200 347.928 * * [simplify]: Extracting #10: cost 10 inf + 119733 347.962 * * [simplify]: Extracting #11: cost 1 inf + 127983 348.006 * * [simplify]: Extracting #12: cost 0 inf + 129768 348.051 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 348.051 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 348.053 * * * * [progress]: [ 952 / 4754 ] simplifiying candidate # 348.053 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 348.054 * * [simplify]: iters left: 6 (47 enodes) 348.080 * * [simplify]: iters left: 5 (235 enodes) 348.161 * * [simplify]: Extracting #0: cost 1 inf + 0 348.161 * * [simplify]: Extracting #1: cost 3 inf + 0 348.161 * * [simplify]: Extracting #2: cost 6 inf + 0 348.161 * * [simplify]: Extracting #3: cost 10 inf + 0 348.161 * * [simplify]: Extracting #4: cost 16 inf + 0 348.161 * * [simplify]: Extracting #5: cost 111 inf + 0 348.163 * * [simplify]: Extracting #6: cost 268 inf + 0 348.165 * * [simplify]: Extracting #7: cost 313 inf + 1069 348.171 * * [simplify]: Extracting #8: cost 216 inf + 18132 348.188 * * [simplify]: Extracting #9: cost 125 inf + 49547 348.224 * * [simplify]: Extracting #10: cost 27 inf + 92952 348.260 * * [simplify]: Extracting #11: cost 5 inf + 107782 348.280 * * [simplify]: Extracting #12: cost 1 inf + 113602 348.317 * * [simplify]: Extracting #13: cost 0 inf + 115347 348.358 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 348.358 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 348.359 * * * * [progress]: [ 953 / 4754 ] simplifiying candidate # 348.361 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 348.362 * * [simplify]: iters left: 6 (49 enodes) 348.388 * * [simplify]: iters left: 5 (247 enodes) 348.468 * * [simplify]: Extracting #0: cost 1 inf + 0 348.468 * * [simplify]: Extracting #1: cost 3 inf + 0 348.468 * * [simplify]: Extracting #2: cost 6 inf + 0 348.468 * * [simplify]: Extracting #3: cost 10 inf + 0 348.468 * * [simplify]: Extracting #4: cost 16 inf + 0 348.469 * * [simplify]: Extracting #5: cost 113 inf + 0 348.470 * * [simplify]: Extracting #6: cost 279 inf + 0 348.472 * * [simplify]: Extracting #7: cost 322 inf + 1187 348.480 * * [simplify]: Extracting #8: cost 220 inf + 19530 348.504 * * [simplify]: Extracting #9: cost 77 inf + 71649 348.541 * * [simplify]: Extracting #10: cost 6 inf + 107071 348.565 * * [simplify]: Extracting #11: cost 0 inf + 110953 348.589 * * [simplify]: Extracting #12: cost 0 inf + 110833 348.632 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 348.632 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 348.633 * * * * [progress]: [ 954 / 4754 ] simplifiying candidate # 348.634 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 348.634 * * [simplify]: iters left: 6 (49 enodes) 348.661 * * [simplify]: iters left: 5 (247 enodes) 348.747 * * [simplify]: Extracting #0: cost 1 inf + 0 348.747 * * [simplify]: Extracting #1: cost 3 inf + 0 348.747 * * [simplify]: Extracting #2: cost 6 inf + 0 348.748 * * [simplify]: Extracting #3: cost 10 inf + 0 348.748 * * [simplify]: Extracting #4: cost 20 inf + 0 348.748 * * [simplify]: Extracting #5: cost 137 inf + 0 348.748 * * [simplify]: Extracting #6: cost 297 inf + 1 348.750 * * [simplify]: Extracting #7: cost 337 inf + 1072 348.753 * * [simplify]: Extracting #8: cost 255 inf + 12805 348.762 * * [simplify]: Extracting #9: cost 134 inf + 59182 348.794 * * [simplify]: Extracting #10: cost 5 inf + 121310 348.837 * * [simplify]: Extracting #11: cost 0 inf + 121943 348.883 * * [simplify]: Extracting #12: cost 0 inf + 121903 348.925 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 348.925 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 348.926 * * * * [progress]: [ 955 / 4754 ] simplifiying candidate # 348.927 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 348.927 * * [simplify]: iters left: 6 (49 enodes) 348.954 * * [simplify]: iters left: 5 (247 enodes) 349.034 * * [simplify]: Extracting #0: cost 1 inf + 0 349.034 * * [simplify]: Extracting #1: cost 3 inf + 0 349.034 * * [simplify]: Extracting #2: cost 6 inf + 0 349.034 * * [simplify]: Extracting #3: cost 10 inf + 0 349.034 * * [simplify]: Extracting #4: cost 20 inf + 0 349.034 * * [simplify]: Extracting #5: cost 129 inf + 0 349.035 * * [simplify]: Extracting #6: cost 280 inf + 86 349.036 * * [simplify]: Extracting #7: cost 308 inf + 3387 349.041 * * [simplify]: Extracting #8: cost 186 inf + 29916 349.054 * * [simplify]: Extracting #9: cost 58 inf + 83192 349.090 * * [simplify]: Extracting #10: cost 10 inf + 105486 349.112 * * [simplify]: Extracting #11: cost 0 inf + 111158 349.138 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi1 phi1) phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi2 phi2) (- phi2)))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ lambda2 lambda1))))))) 349.138 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi1 phi1) phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi2 phi2) (- phi2)))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 349.139 * * * * [progress]: [ 956 / 4754 ] simplifiying candidate # 349.140 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 349.140 * * [simplify]: iters left: 6 (49 enodes) 349.165 * * [simplify]: iters left: 5 (247 enodes) 349.239 * * [simplify]: Extracting #0: cost 1 inf + 0 349.239 * * [simplify]: Extracting #1: cost 3 inf + 0 349.239 * * [simplify]: Extracting #2: cost 6 inf + 0 349.239 * * [simplify]: Extracting #3: cost 10 inf + 0 349.239 * * [simplify]: Extracting #4: cost 20 inf + 0 349.239 * * [simplify]: Extracting #5: cost 137 inf + 0 349.240 * * [simplify]: Extracting #6: cost 297 inf + 1 349.241 * * [simplify]: Extracting #7: cost 337 inf + 1072 349.244 * * [simplify]: Extracting #8: cost 255 inf + 12805 349.253 * * [simplify]: Extracting #9: cost 134 inf + 59502 349.281 * * [simplify]: Extracting #10: cost 5 inf + 121950 349.306 * * [simplify]: Extracting #11: cost 0 inf + 122583 349.347 * * [simplify]: Extracting #12: cost 0 inf + 122543 349.389 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 349.389 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 349.390 * * * * [progress]: [ 957 / 4754 ] simplifiying candidate # 349.391 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 349.391 * * [simplify]: iters left: 6 (49 enodes) 349.417 * * [simplify]: iters left: 5 (247 enodes) 349.495 * * [simplify]: Extracting #0: cost 1 inf + 0 349.495 * * [simplify]: Extracting #1: cost 3 inf + 0 349.495 * * [simplify]: Extracting #2: cost 6 inf + 0 349.495 * * [simplify]: Extracting #3: cost 10 inf + 0 349.495 * * [simplify]: Extracting #4: cost 20 inf + 0 349.495 * * [simplify]: Extracting #5: cost 128 inf + 0 349.496 * * [simplify]: Extracting #6: cost 280 inf + 86 349.497 * * [simplify]: Extracting #7: cost 309 inf + 3185 349.501 * * [simplify]: Extracting #8: cost 190 inf + 28522 349.525 * * [simplify]: Extracting #9: cost 59 inf + 82687 349.561 * * [simplify]: Extracting #10: cost 11 inf + 105314 349.601 * * [simplify]: Extracting #11: cost 0 inf + 111158 349.640 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi1 phi1) phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi2 phi2) (- phi2)))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ lambda2 lambda1))))))) 349.640 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi1 phi1) phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* phi2 phi2) (- phi2)))) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 349.641 * * * * [progress]: [ 958 / 4754 ] simplifiying candidate # 349.642 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 349.642 * * [simplify]: iters left: 6 (49 enodes) 349.669 * * [simplify]: iters left: 5 (247 enodes) 349.757 * * [simplify]: Extracting #0: cost 1 inf + 0 349.757 * * [simplify]: Extracting #1: cost 3 inf + 0 349.757 * * [simplify]: Extracting #2: cost 6 inf + 0 349.757 * * [simplify]: Extracting #3: cost 10 inf + 0 349.757 * * [simplify]: Extracting #4: cost 16 inf + 0 349.757 * * [simplify]: Extracting #5: cost 112 inf + 0 349.758 * * [simplify]: Extracting #6: cost 290 inf + 0 349.761 * * [simplify]: Extracting #7: cost 350 inf + 662 349.766 * * [simplify]: Extracting #8: cost 201 inf + 30259 349.782 * * [simplify]: Extracting #9: cost 82 inf + 78184 349.803 * * [simplify]: Extracting #10: cost 3 inf + 118312 349.839 * * [simplify]: Extracting #11: cost 0 inf + 119414 349.882 * * [simplify]: Extracting #12: cost 0 inf + 118814 349.926 * * [simplify]: Extracting #13: cost 0 inf + 118734 349.965 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 349.965 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 349.965 * * * * [progress]: [ 959 / 4754 ] simplifiying candidate # 349.966 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 349.966 * * [simplify]: iters left: 6 (49 enodes) 349.980 * * [simplify]: iters left: 5 (245 enodes) 350.059 * * [simplify]: Extracting #0: cost 1 inf + 0 350.060 * * [simplify]: Extracting #1: cost 3 inf + 0 350.060 * * [simplify]: Extracting #2: cost 6 inf + 0 350.060 * * [simplify]: Extracting #3: cost 10 inf + 0 350.060 * * [simplify]: Extracting #4: cost 16 inf + 0 350.060 * * [simplify]: Extracting #5: cost 119 inf + 0 350.060 * * [simplify]: Extracting #6: cost 286 inf + 0 350.063 * * [simplify]: Extracting #7: cost 339 inf + 1352 350.070 * * [simplify]: Extracting #8: cost 230 inf + 19476 350.081 * * [simplify]: Extracting #9: cost 108 inf + 61949 350.101 * * [simplify]: Extracting #10: cost 14 inf + 108363 350.131 * * [simplify]: Extracting #11: cost 2 inf + 117757 350.154 * * [simplify]: Extracting #12: cost 0 inf + 120487 350.187 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 350.188 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 350.189 * * * * [progress]: [ 960 / 4754 ] simplifiying candidate # 350.190 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 350.190 * * [simplify]: iters left: 6 (47 enodes) 350.215 * * [simplify]: iters left: 5 (234 enodes) 350.285 * * [simplify]: Extracting #0: cost 1 inf + 0 350.285 * * [simplify]: Extracting #1: cost 3 inf + 0 350.285 * * [simplify]: Extracting #2: cost 6 inf + 0 350.286 * * [simplify]: Extracting #3: cost 10 inf + 0 350.286 * * [simplify]: Extracting #4: cost 16 inf + 0 350.286 * * [simplify]: Extracting #5: cost 110 inf + 0 350.286 * * [simplify]: Extracting #6: cost 271 inf + 0 350.287 * * [simplify]: Extracting #7: cost 308 inf + 1554 350.291 * * [simplify]: Extracting #8: cost 208 inf + 17172 350.298 * * [simplify]: Extracting #9: cost 139 inf + 40573 350.311 * * [simplify]: Extracting #10: cost 39 inf + 81538 350.349 * * [simplify]: Extracting #11: cost 5 inf + 101349 350.384 * * [simplify]: Extracting #12: cost 0 inf + 107914 350.403 * * [simplify]: Extracting #13: cost 0 inf + 107714 350.426 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) 350.426 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 350.427 * * * * [progress]: [ 961 / 4754 ] simplifiying candidate # 350.427 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 350.428 * * [simplify]: iters left: 6 (49 enodes) 350.455 * * [simplify]: iters left: 5 (247 enodes) 350.543 * * [simplify]: Extracting #0: cost 1 inf + 0 350.543 * * [simplify]: Extracting #1: cost 3 inf + 0 350.543 * * [simplify]: Extracting #2: cost 6 inf + 0 350.543 * * [simplify]: Extracting #3: cost 10 inf + 0 350.543 * * [simplify]: Extracting #4: cost 16 inf + 0 350.543 * * [simplify]: Extracting #5: cost 110 inf + 0 350.544 * * [simplify]: Extracting #6: cost 282 inf + 0 350.545 * * [simplify]: Extracting #7: cost 318 inf + 1151 350.548 * * [simplify]: Extracting #8: cost 212 inf + 17827 350.563 * * [simplify]: Extracting #9: cost 70 inf + 68979 350.588 * * [simplify]: Extracting #10: cost 9 inf + 98218 350.619 * * [simplify]: Extracting #11: cost 0 inf + 104280 350.639 * * [simplify]: Extracting #12: cost 0 inf + 104200 350.671 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))) 350.671 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 350.672 * * * * [progress]: [ 962 / 4754 ] simplifiying candidate # 350.672 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 350.673 * * [simplify]: iters left: 6 (49 enodes) 350.702 * * [simplify]: iters left: 5 (247 enodes) 350.807 * * [simplify]: Extracting #0: cost 1 inf + 0 350.807 * * [simplify]: Extracting #1: cost 3 inf + 0 350.807 * * [simplify]: Extracting #2: cost 6 inf + 0 350.807 * * [simplify]: Extracting #3: cost 10 inf + 0 350.807 * * [simplify]: Extracting #4: cost 20 inf + 0 350.807 * * [simplify]: Extracting #5: cost 134 inf + 0 350.808 * * [simplify]: Extracting #6: cost 298 inf + 1 350.812 * * [simplify]: Extracting #7: cost 338 inf + 862 350.816 * * [simplify]: Extracting #8: cost 237 inf + 17242 350.824 * * [simplify]: Extracting #9: cost 135 inf + 49009 350.854 * * [simplify]: Extracting #10: cost 27 inf + 94194 350.885 * * [simplify]: Extracting #11: cost 4 inf + 107741 350.906 * * [simplify]: Extracting #12: cost 0 inf + 112601 350.948 * * [simplify]: Extracting #13: cost 0 inf + 112401 350.987 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 350.987 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 350.988 * * * * [progress]: [ 963 / 4754 ] simplifiying candidate # 350.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 350.989 * * [simplify]: iters left: 6 (49 enodes) 351.016 * * [simplify]: iters left: 5 (247 enodes) 351.132 * * [simplify]: Extracting #0: cost 1 inf + 0 351.132 * * [simplify]: Extracting #1: cost 3 inf + 0 351.132 * * [simplify]: Extracting #2: cost 6 inf + 0 351.132 * * [simplify]: Extracting #3: cost 10 inf + 0 351.132 * * [simplify]: Extracting #4: cost 20 inf + 0 351.132 * * [simplify]: Extracting #5: cost 126 inf + 0 351.133 * * [simplify]: Extracting #6: cost 283 inf + 86 351.135 * * [simplify]: Extracting #7: cost 302 inf + 3913 351.138 * * [simplify]: Extracting #8: cost 198 inf + 19820 351.148 * * [simplify]: Extracting #9: cost 117 inf + 49193 351.163 * * [simplify]: Extracting #10: cost 24 inf + 90060 351.197 * * [simplify]: Extracting #11: cost 3 inf + 100290 351.237 * * [simplify]: Extracting #12: cost 0 inf + 104085 351.256 * * [simplify]: Extracting #13: cost 0 inf + 104005 351.275 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 351.275 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 351.276 * * * * [progress]: [ 964 / 4754 ] simplifiying candidate # 351.276 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 351.276 * * [simplify]: iters left: 6 (49 enodes) 351.289 * * [simplify]: iters left: 5 (247 enodes) 351.373 * * [simplify]: Extracting #0: cost 1 inf + 0 351.373 * * [simplify]: Extracting #1: cost 3 inf + 0 351.373 * * [simplify]: Extracting #2: cost 6 inf + 0 351.373 * * [simplify]: Extracting #3: cost 10 inf + 0 351.373 * * [simplify]: Extracting #4: cost 20 inf + 0 351.374 * * [simplify]: Extracting #5: cost 134 inf + 0 351.375 * * [simplify]: Extracting #6: cost 298 inf + 1 351.377 * * [simplify]: Extracting #7: cost 339 inf + 660 351.383 * * [simplify]: Extracting #8: cost 248 inf + 14866 351.399 * * [simplify]: Extracting #9: cost 142 inf + 45573 351.431 * * [simplify]: Extracting #10: cost 31 inf + 92387 351.468 * * [simplify]: Extracting #11: cost 6 inf + 107291 351.493 * * [simplify]: Extracting #12: cost 0 inf + 113121 351.524 * * [simplify]: Extracting #13: cost 0 inf + 112881 351.563 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 351.563 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 351.564 * * * * [progress]: [ 965 / 4754 ] simplifiying candidate # 351.564 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 351.564 * * [simplify]: iters left: 6 (49 enodes) 351.578 * * [simplify]: iters left: 5 (247 enodes) 351.657 * * [simplify]: Extracting #0: cost 1 inf + 0 351.657 * * [simplify]: Extracting #1: cost 3 inf + 0 351.657 * * [simplify]: Extracting #2: cost 6 inf + 0 351.657 * * [simplify]: Extracting #3: cost 10 inf + 0 351.657 * * [simplify]: Extracting #4: cost 20 inf + 0 351.657 * * [simplify]: Extracting #5: cost 125 inf + 0 351.659 * * [simplify]: Extracting #6: cost 283 inf + 86 351.662 * * [simplify]: Extracting #7: cost 299 inf + 4559 351.670 * * [simplify]: Extracting #8: cost 198 inf + 20507 351.686 * * [simplify]: Extracting #9: cost 118 inf + 48589 351.702 * * [simplify]: Extracting #10: cost 29 inf + 87626 351.720 * * [simplify]: Extracting #11: cost 2 inf + 102075 351.757 * * [simplify]: Extracting #12: cost 0 inf + 104085 351.789 * * [simplify]: Extracting #13: cost 0 inf + 104005 351.808 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 351.808 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 351.808 * * * * [progress]: [ 966 / 4754 ] simplifiying candidate # 351.809 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 351.810 * * [simplify]: iters left: 6 (49 enodes) 351.831 * * [simplify]: iters left: 5 (250 enodes) 351.920 * * [simplify]: Extracting #0: cost 1 inf + 0 351.920 * * [simplify]: Extracting #1: cost 3 inf + 0 351.920 * * [simplify]: Extracting #2: cost 6 inf + 0 351.921 * * [simplify]: Extracting #3: cost 10 inf + 0 351.921 * * [simplify]: Extracting #4: cost 16 inf + 0 351.921 * * [simplify]: Extracting #5: cost 107 inf + 0 351.921 * * [simplify]: Extracting #6: cost 280 inf + 2 351.923 * * [simplify]: Extracting #7: cost 300 inf + 5197 351.927 * * [simplify]: Extracting #8: cost 167 inf + 30201 351.942 * * [simplify]: Extracting #9: cost 46 inf + 77565 351.965 * * [simplify]: Extracting #10: cost 1 inf + 100335 351.991 * * [simplify]: Extracting #11: cost 0 inf + 100884 352.017 * * [simplify]: Extracting #12: cost 0 inf + 100703 352.053 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 352.053 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 352.055 * * * * [progress]: [ 967 / 4754 ] simplifiying candidate # 352.055 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 352.056 * * [simplify]: iters left: 6 (49 enodes) 352.083 * * [simplify]: iters left: 5 (248 enodes) 352.150 * * [simplify]: Extracting #0: cost 1 inf + 0 352.150 * * [simplify]: Extracting #1: cost 3 inf + 0 352.150 * * [simplify]: Extracting #2: cost 6 inf + 0 352.151 * * [simplify]: Extracting #3: cost 10 inf + 0 352.151 * * [simplify]: Extracting #4: cost 19 inf + 0 352.151 * * [simplify]: Extracting #5: cost 114 inf + 0 352.152 * * [simplify]: Extracting #6: cost 281 inf + 0 352.155 * * [simplify]: Extracting #7: cost 310 inf + 2991 352.161 * * [simplify]: Extracting #8: cost 201 inf + 18929 352.175 * * [simplify]: Extracting #9: cost 133 inf + 39997 352.199 * * [simplify]: Extracting #10: cost 37 inf + 78478 352.227 * * [simplify]: Extracting #11: cost 3 inf + 95401 352.244 * * [simplify]: Extracting #12: cost 0 inf + 98661 352.264 * * [simplify]: Extracting #13: cost 0 inf + 98148 352.283 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 352.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 352.283 * * * * [progress]: [ 968 / 4754 ] simplifiying candidate # 352.284 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 352.284 * * [simplify]: iters left: 6 (48 enodes) 352.301 * * [simplify]: iters left: 5 (254 enodes) 352.407 * * [simplify]: Extracting #0: cost 1 inf + 0 352.407 * * [simplify]: Extracting #1: cost 3 inf + 0 352.407 * * [simplify]: Extracting #2: cost 6 inf + 0 352.407 * * [simplify]: Extracting #3: cost 10 inf + 0 352.407 * * [simplify]: Extracting #4: cost 16 inf + 0 352.407 * * [simplify]: Extracting #5: cost 114 inf + 0 352.408 * * [simplify]: Extracting #6: cost 295 inf + 0 352.409 * * [simplify]: Extracting #7: cost 364 inf + 499 352.414 * * [simplify]: Extracting #8: cost 229 inf + 32073 352.451 * * [simplify]: Extracting #9: cost 40 inf + 103107 352.474 * * [simplify]: Extracting #10: cost 6 inf + 122985 352.513 * * [simplify]: Extracting #11: cost 0 inf + 126734 352.555 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 352.555 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 352.556 * * * * [progress]: [ 969 / 4754 ] simplifiying candidate # 352.556 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 352.557 * * [simplify]: iters left: 6 (48 enodes) 352.572 * * [simplify]: iters left: 5 (252 enodes) 352.660 * * [simplify]: Extracting #0: cost 1 inf + 0 352.660 * * [simplify]: Extracting #1: cost 3 inf + 0 352.661 * * [simplify]: Extracting #2: cost 6 inf + 0 352.661 * * [simplify]: Extracting #3: cost 10 inf + 0 352.661 * * [simplify]: Extracting #4: cost 16 inf + 0 352.661 * * [simplify]: Extracting #5: cost 109 inf + 0 352.662 * * [simplify]: Extracting #6: cost 287 inf + 0 352.667 * * [simplify]: Extracting #7: cost 352 inf + 501 352.670 * * [simplify]: Extracting #8: cost 255 inf + 14980 352.680 * * [simplify]: Extracting #9: cost 115 inf + 60388 352.711 * * [simplify]: Extracting #10: cost 17 inf + 105713 352.735 * * [simplify]: Extracting #11: cost 4 inf + 113866 352.768 * * [simplify]: Extracting #12: cost 1 inf + 118421 352.803 * * [simplify]: Extracting #13: cost 0 inf + 120166 352.830 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 352.830 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 352.831 * * * * [progress]: [ 970 / 4754 ] simplifiying candidate # 352.832 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 352.833 * * [simplify]: iters left: 6 (48 enodes) 352.858 * * [simplify]: iters left: 5 (252 enodes) 352.979 * * [simplify]: Extracting #0: cost 1 inf + 0 352.980 * * [simplify]: Extracting #1: cost 3 inf + 0 352.980 * * [simplify]: Extracting #2: cost 6 inf + 0 352.980 * * [simplify]: Extracting #3: cost 10 inf + 0 352.980 * * [simplify]: Extracting #4: cost 16 inf + 0 352.980 * * [simplify]: Extracting #5: cost 112 inf + 0 352.981 * * [simplify]: Extracting #6: cost 286 inf + 0 352.982 * * [simplify]: Extracting #7: cost 342 inf + 1069 352.986 * * [simplify]: Extracting #8: cost 213 inf + 26416 352.998 * * [simplify]: Extracting #9: cost 79 inf + 74178 353.027 * * [simplify]: Extracting #10: cost 6 inf + 109716 353.054 * * [simplify]: Extracting #11: cost 1 inf + 114866 353.094 * * [simplify]: Extracting #12: cost 0 inf + 116611 353.122 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 353.122 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 353.123 * * * * [progress]: [ 971 / 4754 ] simplifiying candidate # 353.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 353.123 * * [simplify]: iters left: 6 (40 enodes) 353.138 * * [simplify]: iters left: 5 (208 enodes) 353.210 * * [simplify]: Extracting #0: cost 1 inf + 0 353.210 * * [simplify]: Extracting #1: cost 3 inf + 0 353.210 * * [simplify]: Extracting #2: cost 6 inf + 0 353.210 * * [simplify]: Extracting #3: cost 10 inf + 0 353.210 * * [simplify]: Extracting #4: cost 16 inf + 0 353.211 * * [simplify]: Extracting #5: cost 101 inf + 0 353.212 * * [simplify]: Extracting #6: cost 251 inf + 0 353.213 * * [simplify]: Extracting #7: cost 294 inf + 541 353.218 * * [simplify]: Extracting #8: cost 176 inf + 27864 353.231 * * [simplify]: Extracting #9: cost 34 inf + 80414 353.252 * * [simplify]: Extracting #10: cost 2 inf + 96175 353.283 * * [simplify]: Extracting #11: cost 0 inf + 97772 353.319 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 353.319 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 353.320 * * * * [progress]: [ 972 / 4754 ] simplifiying candidate # 353.321 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 353.322 * * [simplify]: iters left: 6 (48 enodes) 353.347 * * [simplify]: iters left: 5 (250 enodes) 353.430 * * [simplify]: Extracting #0: cost 1 inf + 0 353.430 * * [simplify]: Extracting #1: cost 3 inf + 0 353.430 * * [simplify]: Extracting #2: cost 6 inf + 0 353.430 * * [simplify]: Extracting #3: cost 10 inf + 0 353.430 * * [simplify]: Extracting #4: cost 20 inf + 0 353.430 * * [simplify]: Extracting #5: cost 134 inf + 0 353.432 * * [simplify]: Extracting #6: cost 283 inf + 85 353.434 * * [simplify]: Extracting #7: cost 322 inf + 1521 353.439 * * [simplify]: Extracting #8: cost 251 inf + 12677 353.454 * * [simplify]: Extracting #9: cost 141 inf + 45502 353.485 * * [simplify]: Extracting #10: cost 26 inf + 95408 353.525 * * [simplify]: Extracting #11: cost 0 inf + 114831 353.546 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 353.546 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 353.547 * * * * [progress]: [ 973 / 4754 ] simplifiying candidate # 353.547 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 353.548 * * [simplify]: iters left: 6 (42 enodes) 353.564 * * [simplify]: iters left: 5 (216 enodes) 353.665 * * [simplify]: Extracting #0: cost 1 inf + 0 353.665 * * [simplify]: Extracting #1: cost 3 inf + 0 353.665 * * [simplify]: Extracting #2: cost 6 inf + 0 353.665 * * [simplify]: Extracting #3: cost 10 inf + 0 353.666 * * [simplify]: Extracting #4: cost 20 inf + 0 353.666 * * [simplify]: Extracting #5: cost 119 inf + 0 353.667 * * [simplify]: Extracting #6: cost 251 inf + 44 353.669 * * [simplify]: Extracting #7: cost 282 inf + 2570 353.681 * * [simplify]: Extracting #8: cost 133 inf + 40706 353.709 * * [simplify]: Extracting #9: cost 27 inf + 80414 353.742 * * [simplify]: Extracting #10: cost 4 inf + 93011 353.782 * * [simplify]: Extracting #11: cost 0 inf + 97269 353.803 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 353.804 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 353.804 * * * * [progress]: [ 974 / 4754 ] simplifiying candidate # 353.805 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 353.805 * * [simplify]: iters left: 6 (48 enodes) 353.817 * * [simplify]: iters left: 5 (250 enodes) 353.929 * * [simplify]: Extracting #0: cost 1 inf + 0 353.929 * * [simplify]: Extracting #1: cost 3 inf + 0 353.971 * * [simplify]: Extracting #2: cost 6 inf + 0 353.971 * * [simplify]: Extracting #3: cost 10 inf + 0 353.971 * * [simplify]: Extracting #4: cost 20 inf + 0 353.972 * * [simplify]: Extracting #5: cost 134 inf + 0 353.973 * * [simplify]: Extracting #6: cost 283 inf + 85 353.975 * * [simplify]: Extracting #7: cost 317 inf + 2531 353.986 * * [simplify]: Extracting #8: cost 190 inf + 32044 354.004 * * [simplify]: Extracting #9: cost 125 inf + 53386 354.036 * * [simplify]: Extracting #10: cost 25 inf + 96129 354.079 * * [simplify]: Extracting #11: cost 0 inf + 115511 354.121 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 354.121 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 354.122 * * * * [progress]: [ 975 / 4754 ] simplifiying candidate # 354.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 354.123 * * [simplify]: iters left: 6 (42 enodes) 354.145 * * [simplify]: iters left: 5 (216 enodes) 354.246 * * [simplify]: Extracting #0: cost 1 inf + 0 354.247 * * [simplify]: Extracting #1: cost 3 inf + 0 354.247 * * [simplify]: Extracting #2: cost 6 inf + 0 354.247 * * [simplify]: Extracting #3: cost 10 inf + 0 354.247 * * [simplify]: Extracting #4: cost 20 inf + 0 354.247 * * [simplify]: Extracting #5: cost 118 inf + 0 354.248 * * [simplify]: Extracting #6: cost 251 inf + 44 354.250 * * [simplify]: Extracting #7: cost 282 inf + 2570 354.260 * * [simplify]: Extracting #8: cost 130 inf + 42400 354.274 * * [simplify]: Extracting #9: cost 26 inf + 81239 354.294 * * [simplify]: Extracting #10: cost 4 inf + 93251 354.318 * * [simplify]: Extracting #11: cost 0 inf + 97509 354.343 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 354.343 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 354.345 * * * * [progress]: [ 976 / 4754 ] simplifiying candidate # 354.345 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 354.346 * * [simplify]: iters left: 6 (46 enodes) 354.371 * * [simplify]: iters left: 5 (231 enodes) 354.449 * * [simplify]: Extracting #0: cost 1 inf + 0 354.449 * * [simplify]: Extracting #1: cost 3 inf + 0 354.449 * * [simplify]: Extracting #2: cost 6 inf + 0 354.449 * * [simplify]: Extracting #3: cost 10 inf + 0 354.450 * * [simplify]: Extracting #4: cost 16 inf + 0 354.450 * * [simplify]: Extracting #5: cost 106 inf + 0 354.451 * * [simplify]: Extracting #6: cost 257 inf + 0 354.453 * * [simplify]: Extracting #7: cost 308 inf + 867 354.459 * * [simplify]: Extracting #8: cost 214 inf + 17426 354.478 * * [simplify]: Extracting #9: cost 85 inf + 62100 354.508 * * [simplify]: Extracting #10: cost 17 inf + 96306 354.529 * * [simplify]: Extracting #11: cost 1 inf + 111285 354.565 * * [simplify]: Extracting #12: cost 0 inf + 113030 354.595 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 354.595 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 354.596 * * * * [progress]: [ 977 / 4754 ] simplifiying candidate # 354.596 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 354.596 * * [simplify]: iters left: 6 (46 enodes) 354.609 * * [simplify]: iters left: 5 (233 enodes) 354.688 * * [simplify]: Extracting #0: cost 1 inf + 0 354.688 * * [simplify]: Extracting #1: cost 3 inf + 0 354.688 * * [simplify]: Extracting #2: cost 6 inf + 0 354.688 * * [simplify]: Extracting #3: cost 10 inf + 0 354.688 * * [simplify]: Extracting #4: cost 16 inf + 0 354.688 * * [simplify]: Extracting #5: cost 101 inf + 0 354.689 * * [simplify]: Extracting #6: cost 259 inf + 0 354.690 * * [simplify]: Extracting #7: cost 298 inf + 2000 354.696 * * [simplify]: Extracting #8: cost 139 inf + 40858 354.710 * * [simplify]: Extracting #9: cost 44 inf + 80223 354.730 * * [simplify]: Extracting #10: cost 9 inf + 99257 354.760 * * [simplify]: Extracting #11: cost 3 inf + 103648 354.783 * * [simplify]: Extracting #12: cost 1 inf + 107258 354.818 * * [simplify]: Extracting #13: cost 0 inf + 109083 354.838 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 354.838 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 354.839 * * * * [progress]: [ 978 / 4754 ] simplifiying candidate # 354.839 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 354.839 * * [simplify]: iters left: 6 (46 enodes) 354.854 * * [simplify]: iters left: 5 (231 enodes) 354.935 * * [simplify]: Extracting #0: cost 1 inf + 0 354.936 * * [simplify]: Extracting #1: cost 3 inf + 0 354.936 * * [simplify]: Extracting #2: cost 6 inf + 0 354.936 * * [simplify]: Extracting #3: cost 10 inf + 0 354.936 * * [simplify]: Extracting #4: cost 16 inf + 0 354.936 * * [simplify]: Extracting #5: cost 106 inf + 0 354.937 * * [simplify]: Extracting #6: cost 248 inf + 0 354.938 * * [simplify]: Extracting #7: cost 289 inf + 1105 354.941 * * [simplify]: Extracting #8: cost 201 inf + 16225 354.951 * * [simplify]: Extracting #9: cost 77 inf + 57066 354.967 * * [simplify]: Extracting #10: cost 10 inf + 90348 354.990 * * [simplify]: Extracting #11: cost 2 inf + 97158 355.014 * * [simplify]: Extracting #12: cost 0 inf + 100448 355.049 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 355.049 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 355.050 * * * * [progress]: [ 979 / 4754 ] simplifiying candidate # 355.050 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 355.051 * * [simplify]: iters left: 6 (34 enodes) 355.068 * * [simplify]: iters left: 5 (162 enodes) 355.111 * * [simplify]: iters left: 4 (471 enodes) 355.426 * * [simplify]: Extracting #0: cost 1 inf + 0 355.426 * * [simplify]: Extracting #1: cost 4 inf + 0 355.426 * * [simplify]: Extracting #2: cost 7 inf + 0 355.426 * * [simplify]: Extracting #3: cost 24 inf + 0 355.427 * * [simplify]: Extracting #4: cost 283 inf + 0 355.429 * * [simplify]: Extracting #5: cost 703 inf + 582 355.439 * * [simplify]: Extracting #6: cost 637 inf + 27105 355.463 * * [simplify]: Extracting #7: cost 438 inf + 82538 355.500 * * [simplify]: Extracting #8: cost 344 inf + 112521 355.567 * * [simplify]: Extracting #9: cost 100 inf + 211892 355.651 * * [simplify]: Extracting #10: cost 4 inf + 266661 355.736 * * [simplify]: Extracting #11: cost 0 inf + 270382 355.829 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 355.830 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 355.830 * * * * [progress]: [ 980 / 4754 ] simplifiying candidate # 355.830 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 355.831 * * [simplify]: iters left: 6 (46 enodes) 355.846 * * [simplify]: iters left: 5 (231 enodes) 355.939 * * [simplify]: Extracting #0: cost 1 inf + 0 355.939 * * [simplify]: Extracting #1: cost 3 inf + 0 355.939 * * [simplify]: Extracting #2: cost 6 inf + 0 355.939 * * [simplify]: Extracting #3: cost 10 inf + 0 355.939 * * [simplify]: Extracting #4: cost 20 inf + 0 355.939 * * [simplify]: Extracting #5: cost 124 inf + 0 355.940 * * [simplify]: Extracting #6: cost 250 inf + 85 355.941 * * [simplify]: Extracting #7: cost 268 inf + 2330 355.945 * * [simplify]: Extracting #8: cost 165 inf + 24463 355.955 * * [simplify]: Extracting #9: cost 61 inf + 64081 355.980 * * [simplify]: Extracting #10: cost 14 inf + 88154 356.014 * * [simplify]: Extracting #11: cost 1 inf + 98801 356.054 * * [simplify]: Extracting #12: cost 0 inf + 100466 356.089 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 356.089 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 356.090 * * * * [progress]: [ 981 / 4754 ] simplifiying candidate # 356.091 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 356.091 * * [simplify]: iters left: 6 (40 enodes) 356.112 * * [simplify]: iters left: 5 (196 enodes) 356.197 * * [simplify]: Extracting #0: cost 1 inf + 0 356.197 * * [simplify]: Extracting #1: cost 3 inf + 0 356.197 * * [simplify]: Extracting #2: cost 6 inf + 0 356.198 * * [simplify]: Extracting #3: cost 10 inf + 0 356.198 * * [simplify]: Extracting #4: cost 20 inf + 0 356.198 * * [simplify]: Extracting #5: cost 112 inf + 0 356.199 * * [simplify]: Extracting #6: cost 219 inf + 44 356.201 * * [simplify]: Extracting #7: cost 237 inf + 1724 356.209 * * [simplify]: Extracting #8: cost 115 inf + 29137 356.233 * * [simplify]: Extracting #9: cost 20 inf + 68245 356.264 * * [simplify]: Extracting #10: cost 3 inf + 79643 356.293 * * [simplify]: Extracting #11: cost 0 inf + 81532 356.322 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 356.322 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 356.323 * * * * [progress]: [ 982 / 4754 ] simplifiying candidate # 356.324 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 356.324 * * [simplify]: iters left: 6 (46 enodes) 356.348 * * [simplify]: iters left: 5 (231 enodes) 356.413 * * [simplify]: Extracting #0: cost 1 inf + 0 356.413 * * [simplify]: Extracting #1: cost 3 inf + 0 356.413 * * [simplify]: Extracting #2: cost 6 inf + 0 356.413 * * [simplify]: Extracting #3: cost 10 inf + 0 356.413 * * [simplify]: Extracting #4: cost 20 inf + 0 356.414 * * [simplify]: Extracting #5: cost 124 inf + 0 356.414 * * [simplify]: Extracting #6: cost 250 inf + 85 356.415 * * [simplify]: Extracting #7: cost 268 inf + 2131 356.419 * * [simplify]: Extracting #8: cost 166 inf + 24078 356.429 * * [simplify]: Extracting #9: cost 58 inf + 65488 356.457 * * [simplify]: Extracting #10: cost 13 inf + 89166 356.475 * * [simplify]: Extracting #11: cost 1 inf + 99641 356.497 * * [simplify]: Extracting #12: cost 0 inf + 101306 356.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 356.515 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 356.516 * * * * [progress]: [ 983 / 4754 ] simplifiying candidate # 356.516 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 356.516 * * [simplify]: iters left: 6 (40 enodes) 356.527 * * [simplify]: iters left: 5 (195 enodes) 356.608 * * [simplify]: Extracting #0: cost 1 inf + 0 356.609 * * [simplify]: Extracting #1: cost 3 inf + 0 356.609 * * [simplify]: Extracting #2: cost 6 inf + 0 356.609 * * [simplify]: Extracting #3: cost 10 inf + 0 356.609 * * [simplify]: Extracting #4: cost 20 inf + 0 356.609 * * [simplify]: Extracting #5: cost 112 inf + 0 356.609 * * [simplify]: Extracting #6: cost 213 inf + 44 356.610 * * [simplify]: Extracting #7: cost 237 inf + 952 356.613 * * [simplify]: Extracting #8: cost 161 inf + 11799 356.618 * * [simplify]: Extracting #9: cost 81 inf + 37406 356.630 * * [simplify]: Extracting #10: cost 10 inf + 69022 356.648 * * [simplify]: Extracting #11: cost 1 inf + 78487 356.664 * * [simplify]: Extracting #12: cost 0 inf + 79952 356.679 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 356.679 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 356.680 * * * * [progress]: [ 984 / 4754 ] simplifiying candidate # 356.680 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 356.680 * * [simplify]: iters left: 6 (48 enodes) 356.701 * * [simplify]: iters left: 5 (245 enodes) 356.792 * * [simplify]: Extracting #0: cost 1 inf + 0 356.792 * * [simplify]: Extracting #1: cost 3 inf + 0 356.792 * * [simplify]: Extracting #2: cost 6 inf + 0 356.792 * * [simplify]: Extracting #3: cost 10 inf + 0 356.792 * * [simplify]: Extracting #4: cost 16 inf + 0 356.792 * * [simplify]: Extracting #5: cost 121 inf + 0 356.794 * * [simplify]: Extracting #6: cost 278 inf + 0 356.796 * * [simplify]: Extracting #7: cost 332 inf + 1029 356.801 * * [simplify]: Extracting #8: cost 259 inf + 11699 356.808 * * [simplify]: Extracting #9: cost 140 inf + 46424 356.825 * * [simplify]: Extracting #10: cost 31 inf + 99646 356.862 * * [simplify]: Extracting #11: cost 5 inf + 114024 356.904 * * [simplify]: Extracting #12: cost 1 inf + 120644 356.938 * * [simplify]: Extracting #13: cost 0 inf + 122469 356.961 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 356.961 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 356.962 * * * * [progress]: [ 985 / 4754 ] simplifiying candidate # 356.962 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 356.963 * * [simplify]: iters left: 6 (48 enodes) 356.985 * * [simplify]: iters left: 5 (247 enodes) 357.066 * * [simplify]: Extracting #0: cost 1 inf + 0 357.066 * * [simplify]: Extracting #1: cost 3 inf + 0 357.066 * * [simplify]: Extracting #2: cost 6 inf + 0 357.066 * * [simplify]: Extracting #3: cost 10 inf + 0 357.066 * * [simplify]: Extracting #4: cost 16 inf + 0 357.067 * * [simplify]: Extracting #5: cost 119 inf + 0 357.067 * * [simplify]: Extracting #6: cost 286 inf + 0 357.068 * * [simplify]: Extracting #7: cost 339 inf + 622 357.071 * * [simplify]: Extracting #8: cost 259 inf + 11070 357.079 * * [simplify]: Extracting #9: cost 138 inf + 48842 357.109 * * [simplify]: Extracting #10: cost 38 inf + 95339 357.155 * * [simplify]: Extracting #11: cost 5 inf + 114166 357.196 * * [simplify]: Extracting #12: cost 1 inf + 120786 357.218 * * [simplify]: Extracting #13: cost 0 inf + 122611 357.260 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))))) 357.260 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 357.262 * * * * [progress]: [ 986 / 4754 ] simplifiying candidate # 357.262 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 357.263 * * [simplify]: iters left: 6 (48 enodes) 357.288 * * [simplify]: iters left: 5 (247 enodes) 357.365 * * [simplify]: Extracting #0: cost 1 inf + 0 357.366 * * [simplify]: Extracting #1: cost 3 inf + 0 357.366 * * [simplify]: Extracting #2: cost 6 inf + 0 357.366 * * [simplify]: Extracting #3: cost 10 inf + 0 357.366 * * [simplify]: Extracting #4: cost 16 inf + 0 357.366 * * [simplify]: Extracting #5: cost 126 inf + 0 357.367 * * [simplify]: Extracting #6: cost 280 inf + 0 357.370 * * [simplify]: Extracting #7: cost 321 inf + 1595 357.377 * * [simplify]: Extracting #8: cost 216 inf + 21309 357.389 * * [simplify]: Extracting #9: cost 132 inf + 48168 357.405 * * [simplify]: Extracting #10: cost 36 inf + 91568 357.437 * * [simplify]: Extracting #11: cost 1 inf + 117017 357.473 * * [simplify]: Extracting #12: cost 0 inf + 118842 357.497 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 357.497 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 357.498 * * * * [progress]: [ 987 / 4754 ] simplifiying candidate # 357.499 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 357.499 * * [simplify]: iters left: 6 (40 enodes) 357.516 * * [simplify]: iters left: 5 (198 enodes) 357.581 * * [simplify]: Extracting #0: cost 1 inf + 0 357.581 * * [simplify]: Extracting #1: cost 4 inf + 0 357.582 * * [simplify]: Extracting #2: cost 7 inf + 0 357.582 * * [simplify]: Extracting #3: cost 10 inf + 0 357.582 * * [simplify]: Extracting #4: cost 66 inf + 0 357.583 * * [simplify]: Extracting #5: cost 191 inf + 0 357.585 * * [simplify]: Extracting #6: cost 220 inf + 666 357.592 * * [simplify]: Extracting #7: cost 156 inf + 9163 357.602 * * [simplify]: Extracting #8: cost 84 inf + 33004 357.616 * * [simplify]: Extracting #9: cost 11 inf + 61301 357.629 * * [simplify]: Extracting #10: cost 4 inf + 66236 357.647 * * [simplify]: Extracting #11: cost 0 inf + 70496 357.672 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1))))) 357.672 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 357.673 * * * * [progress]: [ 988 / 4754 ] simplifiying candidate # 357.674 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 357.674 * * [simplify]: iters left: 6 (48 enodes) 357.701 * * [simplify]: iters left: 5 (245 enodes) 357.794 * * [simplify]: Extracting #0: cost 1 inf + 0 357.795 * * [simplify]: Extracting #1: cost 3 inf + 0 357.795 * * [simplify]: Extracting #2: cost 6 inf + 0 357.795 * * [simplify]: Extracting #3: cost 10 inf + 0 357.795 * * [simplify]: Extracting #4: cost 24 inf + 0 357.795 * * [simplify]: Extracting #5: cost 163 inf + 0 357.797 * * [simplify]: Extracting #6: cost 298 inf + 2 357.799 * * [simplify]: Extracting #7: cost 332 inf + 827 357.804 * * [simplify]: Extracting #8: cost 257 inf + 11270 357.818 * * [simplify]: Extracting #9: cost 149 inf + 46983 357.855 * * [simplify]: Extracting #10: cost 45 inf + 96162 357.878 * * [simplify]: Extracting #11: cost 2 inf + 121597 357.923 * * [simplify]: Extracting #12: cost 0 inf + 125047 357.946 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) 357.946 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 357.947 * * * * [progress]: [ 989 / 4754 ] simplifiying candidate # 357.947 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 357.948 * * [simplify]: iters left: 6 (42 enodes) 357.968 * * [simplify]: iters left: 5 (211 enodes) 358.070 * * [simplify]: Extracting #0: cost 1 inf + 0 358.070 * * [simplify]: Extracting #1: cost 3 inf + 0 358.070 * * [simplify]: Extracting #2: cost 6 inf + 0 358.070 * * [simplify]: Extracting #3: cost 10 inf + 0 358.070 * * [simplify]: Extracting #4: cost 24 inf + 0 358.071 * * [simplify]: Extracting #5: cost 147 inf + 0 358.072 * * [simplify]: Extracting #6: cost 257 inf + 44 358.073 * * [simplify]: Extracting #7: cost 281 inf + 1682 358.078 * * [simplify]: Extracting #8: cost 151 inf + 30123 358.095 * * [simplify]: Extracting #9: cost 34 inf + 80309 358.123 * * [simplify]: Extracting #10: cost 10 inf + 93813 358.158 * * [simplify]: Extracting #11: cost 1 inf + 101426 358.186 * * [simplify]: Extracting #12: cost 0 inf + 102931 358.207 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 358.207 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 358.208 * * * * [progress]: [ 990 / 4754 ] simplifiying candidate # 358.208 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 358.209 * * [simplify]: iters left: 6 (48 enodes) 358.229 * * [simplify]: iters left: 5 (245 enodes) 358.311 * * [simplify]: Extracting #0: cost 1 inf + 0 358.311 * * [simplify]: Extracting #1: cost 3 inf + 0 358.311 * * [simplify]: Extracting #2: cost 6 inf + 0 358.311 * * [simplify]: Extracting #3: cost 10 inf + 0 358.311 * * [simplify]: Extracting #4: cost 24 inf + 0 358.311 * * [simplify]: Extracting #5: cost 163 inf + 0 358.312 * * [simplify]: Extracting #6: cost 298 inf + 2 358.313 * * [simplify]: Extracting #7: cost 330 inf + 1273 358.316 * * [simplify]: Extracting #8: cost 252 inf + 12923 358.330 * * [simplify]: Extracting #9: cost 148 inf + 47016 358.347 * * [simplify]: Extracting #10: cost 49 inf + 94608 358.376 * * [simplify]: Extracting #11: cost 1 inf + 124142 358.422 * * [simplify]: Extracting #12: cost 0 inf + 125887 358.471 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))))) 358.471 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 358.472 * * * * [progress]: [ 991 / 4754 ] simplifiying candidate # 358.473 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 358.473 * * [simplify]: iters left: 6 (42 enodes) 358.496 * * [simplify]: iters left: 5 (211 enodes) 358.574 * * [simplify]: Extracting #0: cost 1 inf + 0 358.574 * * [simplify]: Extracting #1: cost 3 inf + 0 358.574 * * [simplify]: Extracting #2: cost 6 inf + 0 358.574 * * [simplify]: Extracting #3: cost 10 inf + 0 358.574 * * [simplify]: Extracting #4: cost 24 inf + 0 358.575 * * [simplify]: Extracting #5: cost 146 inf + 0 358.575 * * [simplify]: Extracting #6: cost 254 inf + 44 358.576 * * [simplify]: Extracting #7: cost 279 inf + 1683 358.579 * * [simplify]: Extracting #8: cost 177 inf + 20475 358.600 * * [simplify]: Extracting #9: cost 54 inf + 66745 358.634 * * [simplify]: Extracting #10: cost 3 inf + 93884 358.669 * * [simplify]: Extracting #11: cost 0 inf + 98239 358.691 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 358.691 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 358.692 * * * * [progress]: [ 992 / 4754 ] simplifiying candidate # 358.692 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 358.692 * * [simplify]: iters left: 6 (48 enodes) 358.713 * * [simplify]: iters left: 5 (253 enodes) 358.835 * * [simplify]: Extracting #0: cost 1 inf + 0 358.835 * * [simplify]: Extracting #1: cost 3 inf + 0 358.835 * * [simplify]: Extracting #2: cost 6 inf + 0 358.835 * * [simplify]: Extracting #3: cost 10 inf + 0 358.835 * * [simplify]: Extracting #4: cost 16 inf + 0 358.835 * * [simplify]: Extracting #5: cost 114 inf + 0 358.836 * * [simplify]: Extracting #6: cost 294 inf + 0 358.837 * * [simplify]: Extracting #7: cost 344 inf + 906 358.840 * * [simplify]: Extracting #8: cost 249 inf + 16796 358.850 * * [simplify]: Extracting #9: cost 112 inf + 60030 358.871 * * [simplify]: Extracting #10: cost 7 inf + 108536 358.900 * * [simplify]: Extracting #11: cost 0 inf + 113659 358.924 * * [simplify]: Extracting #12: cost 0 inf + 113579 358.945 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2))))))))) 358.947 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 358.948 * * * * [progress]: [ 993 / 4754 ] simplifiying candidate # 358.949 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 358.949 * * [simplify]: iters left: 6 (48 enodes) 358.970 * * [simplify]: iters left: 5 (251 enodes) 359.033 * * [simplify]: Extracting #0: cost 1 inf + 0 359.033 * * [simplify]: Extracting #1: cost 3 inf + 0 359.033 * * [simplify]: Extracting #2: cost 6 inf + 0 359.033 * * [simplify]: Extracting #3: cost 10 inf + 0 359.033 * * [simplify]: Extracting #4: cost 16 inf + 0 359.033 * * [simplify]: Extracting #5: cost 109 inf + 0 359.034 * * [simplify]: Extracting #6: cost 288 inf + 0 359.035 * * [simplify]: Extracting #7: cost 335 inf + 783 359.039 * * [simplify]: Extracting #8: cost 206 inf + 24581 359.052 * * [simplify]: Extracting #9: cost 57 inf + 76557 359.071 * * [simplify]: Extracting #10: cost 5 inf + 105548 359.106 * * [simplify]: Extracting #11: cost 0 inf + 107741 359.125 * * [simplify]: Extracting #12: cost 0 inf + 107621 359.158 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 359.158 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 359.159 * * * * [progress]: [ 994 / 4754 ] simplifiying candidate # 359.159 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 359.160 * * [simplify]: iters left: 6 (48 enodes) 359.172 * * [simplify]: iters left: 5 (251 enodes) 359.236 * * [simplify]: Extracting #0: cost 1 inf + 0 359.236 * * [simplify]: Extracting #1: cost 3 inf + 0 359.236 * * [simplify]: Extracting #2: cost 6 inf + 0 359.236 * * [simplify]: Extracting #3: cost 10 inf + 0 359.236 * * [simplify]: Extracting #4: cost 16 inf + 0 359.236 * * [simplify]: Extracting #5: cost 112 inf + 0 359.237 * * [simplify]: Extracting #6: cost 286 inf + 0 359.239 * * [simplify]: Extracting #7: cost 325 inf + 1390 359.246 * * [simplify]: Extracting #8: cost 216 inf + 20380 359.261 * * [simplify]: Extracting #9: cost 64 inf + 69361 359.281 * * [simplify]: Extracting #10: cost 13 inf + 91675 359.318 * * [simplify]: Extracting #11: cost 0 inf + 104641 359.356 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (+ phi2 phi1) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 359.356 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (+ phi2 phi1) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 359.357 * * * * [progress]: [ 995 / 4754 ] simplifiying candidate # 359.357 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 359.358 * * [simplify]: iters left: 6 (40 enodes) 359.379 * * [simplify]: iters left: 5 (205 enodes) 359.437 * * [simplify]: Extracting #0: cost 1 inf + 0 359.437 * * [simplify]: Extracting #1: cost 3 inf + 0 359.437 * * [simplify]: Extracting #2: cost 6 inf + 0 359.437 * * [simplify]: Extracting #3: cost 10 inf + 0 359.437 * * [simplify]: Extracting #4: cost 16 inf + 0 359.437 * * [simplify]: Extracting #5: cost 102 inf + 0 359.438 * * [simplify]: Extracting #6: cost 245 inf + 0 359.439 * * [simplify]: Extracting #7: cost 262 inf + 1882 359.443 * * [simplify]: Extracting #8: cost 119 inf + 34450 359.461 * * [simplify]: Extracting #9: cost 34 inf + 64502 359.488 * * [simplify]: Extracting #10: cost 6 inf + 76382 359.517 * * [simplify]: Extracting #11: cost 2 inf + 81722 359.551 * * [simplify]: Extracting #12: cost 0 inf + 84212 359.582 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) 359.583 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 359.584 * * * * [progress]: [ 996 / 4754 ] simplifiying candidate # 359.584 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 359.585 * * [simplify]: iters left: 6 (48 enodes) 359.602 * * [simplify]: iters left: 5 (249 enodes) 359.675 * * [simplify]: Extracting #0: cost 1 inf + 0 359.675 * * [simplify]: Extracting #1: cost 3 inf + 0 359.675 * * [simplify]: Extracting #2: cost 6 inf + 0 359.676 * * [simplify]: Extracting #3: cost 10 inf + 0 359.676 * * [simplify]: Extracting #4: cost 20 inf + 0 359.676 * * [simplify]: Extracting #5: cost 134 inf + 0 359.677 * * [simplify]: Extracting #6: cost 282 inf + 85 359.679 * * [simplify]: Extracting #7: cost 302 inf + 2166 359.686 * * [simplify]: Extracting #8: cost 216 inf + 16853 359.701 * * [simplify]: Extracting #9: cost 125 inf + 43654 359.729 * * [simplify]: Extracting #10: cost 21 inf + 87379 359.755 * * [simplify]: Extracting #11: cost 2 inf + 98866 359.776 * * [simplify]: Extracting #12: cost 0 inf + 102316 359.796 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 359.796 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 359.797 * * * * [progress]: [ 997 / 4754 ] simplifiying candidate # 359.797 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 359.797 * * [simplify]: iters left: 6 (42 enodes) 359.809 * * [simplify]: iters left: 5 (215 enodes) 359.881 * * [simplify]: Extracting #0: cost 1 inf + 0 359.881 * * [simplify]: Extracting #1: cost 3 inf + 0 359.881 * * [simplify]: Extracting #2: cost 6 inf + 0 359.881 * * [simplify]: Extracting #3: cost 10 inf + 0 359.881 * * [simplify]: Extracting #4: cost 20 inf + 0 359.881 * * [simplify]: Extracting #5: cost 119 inf + 0 359.882 * * [simplify]: Extracting #6: cost 251 inf + 44 359.885 * * [simplify]: Extracting #7: cost 259 inf + 3628 359.892 * * [simplify]: Extracting #8: cost 154 inf + 23692 359.905 * * [simplify]: Extracting #9: cost 101 inf + 38496 359.930 * * [simplify]: Extracting #10: cost 15 inf + 71939 359.960 * * [simplify]: Extracting #11: cost 2 inf + 81529 359.995 * * [simplify]: Extracting #12: cost 0 inf + 84419 360.026 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 360.026 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 360.027 * * * * [progress]: [ 998 / 4754 ] simplifiying candidate # 360.027 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 360.028 * * [simplify]: iters left: 6 (48 enodes) 360.054 * * [simplify]: iters left: 5 (249 enodes) 360.149 * * [simplify]: Extracting #0: cost 1 inf + 0 360.149 * * [simplify]: Extracting #1: cost 3 inf + 0 360.150 * * [simplify]: Extracting #2: cost 6 inf + 0 360.150 * * [simplify]: Extracting #3: cost 10 inf + 0 360.150 * * [simplify]: Extracting #4: cost 20 inf + 0 360.150 * * [simplify]: Extracting #5: cost 134 inf + 0 360.151 * * [simplify]: Extracting #6: cost 282 inf + 85 360.154 * * [simplify]: Extracting #7: cost 304 inf + 1802 360.163 * * [simplify]: Extracting #8: cost 185 inf + 28468 360.177 * * [simplify]: Extracting #9: cost 50 inf + 78749 360.196 * * [simplify]: Extracting #10: cost 6 inf + 98116 360.234 * * [simplify]: Extracting #11: cost 0 inf + 102836 360.275 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 360.275 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 360.276 * * * * [progress]: [ 999 / 4754 ] simplifiying candidate # 360.276 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 360.277 * * [simplify]: iters left: 6 (42 enodes) 360.301 * * [simplify]: iters left: 5 (215 enodes) 360.397 * * [simplify]: Extracting #0: cost 1 inf + 0 360.397 * * [simplify]: Extracting #1: cost 3 inf + 0 360.397 * * [simplify]: Extracting #2: cost 6 inf + 0 360.397 * * [simplify]: Extracting #3: cost 10 inf + 0 360.397 * * [simplify]: Extracting #4: cost 20 inf + 0 360.397 * * [simplify]: Extracting #5: cost 118 inf + 0 360.397 * * [simplify]: Extracting #6: cost 251 inf + 44 360.399 * * [simplify]: Extracting #7: cost 261 inf + 3142 360.402 * * [simplify]: Extracting #8: cost 154 inf + 23812 360.409 * * [simplify]: Extracting #9: cost 101 inf + 38656 360.423 * * [simplify]: Extracting #10: cost 15 inf + 72512 360.452 * * [simplify]: Extracting #11: cost 2 inf + 81769 360.484 * * [simplify]: Extracting #12: cost 0 inf + 84659 360.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 360.515 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 360.516 * * * * [progress]: [ 1000 / 4754 ] simplifiying candidate # 360.516 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 360.520 * * [simplify]: iters left: 6 (49 enodes) 360.546 * * [simplify]: iters left: 5 (245 enodes) 360.656 * * [simplify]: Extracting #0: cost 1 inf + 0 360.656 * * [simplify]: Extracting #1: cost 3 inf + 0 360.656 * * [simplify]: Extracting #2: cost 6 inf + 0 360.656 * * [simplify]: Extracting #3: cost 10 inf + 0 360.656 * * [simplify]: Extracting #4: cost 16 inf + 0 360.657 * * [simplify]: Extracting #5: cost 112 inf + 0 360.657 * * [simplify]: Extracting #6: cost 276 inf + 0 360.658 * * [simplify]: Extracting #7: cost 329 inf + 1067 360.663 * * [simplify]: Extracting #8: cost 196 inf + 27587 360.677 * * [simplify]: Extracting #9: cost 82 inf + 74215 360.705 * * [simplify]: Extracting #10: cost 12 inf + 109762 360.741 * * [simplify]: Extracting #11: cost 2 inf + 117587 360.768 * * [simplify]: Extracting #12: cost 0 inf + 121117 360.804 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 360.805 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 360.806 * * * * [progress]: [ 1001 / 4754 ] simplifiying candidate # 360.806 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 360.807 * * [simplify]: iters left: 6 (49 enodes) 360.823 * * [simplify]: iters left: 5 (247 enodes) 360.884 * * [simplify]: Extracting #0: cost 1 inf + 0 360.884 * * [simplify]: Extracting #1: cost 3 inf + 0 360.884 * * [simplify]: Extracting #2: cost 6 inf + 0 360.884 * * [simplify]: Extracting #3: cost 10 inf + 0 360.884 * * [simplify]: Extracting #4: cost 16 inf + 0 360.884 * * [simplify]: Extracting #5: cost 111 inf + 0 360.885 * * [simplify]: Extracting #6: cost 281 inf + 0 360.886 * * [simplify]: Extracting #7: cost 330 inf + 864 360.890 * * [simplify]: Extracting #8: cost 206 inf + 24580 360.903 * * [simplify]: Extracting #9: cost 71 inf + 76112 360.922 * * [simplify]: Extracting #10: cost 5 inf + 111316 360.947 * * [simplify]: Extracting #11: cost 0 inf + 116064 360.968 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 360.968 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 360.969 * * * * [progress]: [ 1002 / 4754 ] simplifiying candidate # 360.969 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 360.969 * * [simplify]: iters left: 6 (49 enodes) 360.982 * * [simplify]: iters left: 5 (247 enodes) 361.093 * * [simplify]: Extracting #0: cost 1 inf + 0 361.093 * * [simplify]: Extracting #1: cost 3 inf + 0 361.094 * * [simplify]: Extracting #2: cost 6 inf + 0 361.094 * * [simplify]: Extracting #3: cost 10 inf + 0 361.094 * * [simplify]: Extracting #4: cost 16 inf + 0 361.094 * * [simplify]: Extracting #5: cost 114 inf + 0 361.095 * * [simplify]: Extracting #6: cost 280 inf + 0 361.097 * * [simplify]: Extracting #7: cost 321 inf + 1551 361.107 * * [simplify]: Extracting #8: cost 184 inf + 30231 361.133 * * [simplify]: Extracting #9: cost 65 inf + 76755 361.170 * * [simplify]: Extracting #10: cost 11 inf + 103926 361.213 * * [simplify]: Extracting #11: cost 2 inf + 111739 361.254 * * [simplify]: Extracting #12: cost 0 inf + 115269 361.295 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 361.295 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 361.296 * * * * [progress]: [ 1003 / 4754 ] simplifiying candidate # 361.297 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 361.297 * * [simplify]: iters left: 6 (41 enodes) 361.312 * * [simplify]: iters left: 5 (199 enodes) 361.374 * * [simplify]: Extracting #0: cost 1 inf + 0 361.374 * * [simplify]: Extracting #1: cost 3 inf + 0 361.374 * * [simplify]: Extracting #2: cost 6 inf + 0 361.374 * * [simplify]: Extracting #3: cost 10 inf + 0 361.374 * * [simplify]: Extracting #4: cost 16 inf + 0 361.374 * * [simplify]: Extracting #5: cost 98 inf + 0 361.375 * * [simplify]: Extracting #6: cost 231 inf + 0 361.375 * * [simplify]: Extracting #7: cost 255 inf + 911 361.379 * * [simplify]: Extracting #8: cost 155 inf + 22086 361.391 * * [simplify]: Extracting #9: cost 32 inf + 70345 361.411 * * [simplify]: Extracting #10: cost 5 inf + 85454 361.443 * * [simplify]: Extracting #11: cost 0 inf + 88711 361.478 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 361.478 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 361.479 * * * * [progress]: [ 1004 / 4754 ] simplifiying candidate # 361.479 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 361.479 * * [simplify]: iters left: 6 (49 enodes) 361.493 * * [simplify]: iters left: 5 (245 enodes) 361.588 * * [simplify]: Extracting #0: cost 1 inf + 0 361.588 * * [simplify]: Extracting #1: cost 3 inf + 0 361.588 * * [simplify]: Extracting #2: cost 6 inf + 0 361.588 * * [simplify]: Extracting #3: cost 10 inf + 0 361.589 * * [simplify]: Extracting #4: cost 22 inf + 0 361.589 * * [simplify]: Extracting #5: cost 137 inf + 0 361.589 * * [simplify]: Extracting #6: cost 279 inf + 43 361.590 * * [simplify]: Extracting #7: cost 304 inf + 1761 361.594 * * [simplify]: Extracting #8: cost 225 inf + 13854 361.604 * * [simplify]: Extracting #9: cost 132 inf + 43953 361.617 * * [simplify]: Extracting #10: cost 46 inf + 82344 361.644 * * [simplify]: Extracting #11: cost 3 inf + 106964 361.670 * * [simplify]: Extracting #12: cost 0 inf + 111599 361.695 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 361.695 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 361.696 * * * * [progress]: [ 1005 / 4754 ] simplifiying candidate # 361.697 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 361.697 * * [simplify]: iters left: 6 (43 enodes) 361.720 * * [simplify]: iters left: 5 (211 enodes) 361.813 * * [simplify]: Extracting #0: cost 1 inf + 0 361.814 * * [simplify]: Extracting #1: cost 3 inf + 0 361.814 * * [simplify]: Extracting #2: cost 6 inf + 0 361.814 * * [simplify]: Extracting #3: cost 10 inf + 0 361.814 * * [simplify]: Extracting #4: cost 20 inf + 0 361.814 * * [simplify]: Extracting #5: cost 121 inf + 0 361.815 * * [simplify]: Extracting #6: cost 245 inf + 44 361.817 * * [simplify]: Extracting #7: cost 267 inf + 1923 361.825 * * [simplify]: Extracting #8: cost 147 inf + 28780 361.849 * * [simplify]: Extracting #9: cost 27 inf + 73911 361.876 * * [simplify]: Extracting #10: cost 7 inf + 83517 361.892 * * [simplify]: Extracting #11: cost 1 inf + 88068 361.909 * * [simplify]: Extracting #12: cost 0 inf + 89533 361.927 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 361.927 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 361.928 * * * * [progress]: [ 1006 / 4754 ] simplifiying candidate # 361.928 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 361.928 * * [simplify]: iters left: 6 (49 enodes) 361.942 * * [simplify]: iters left: 5 (245 enodes) 362.047 * * [simplify]: Extracting #0: cost 1 inf + 0 362.047 * * [simplify]: Extracting #1: cost 3 inf + 0 362.047 * * [simplify]: Extracting #2: cost 6 inf + 0 362.047 * * [simplify]: Extracting #3: cost 10 inf + 0 362.047 * * [simplify]: Extracting #4: cost 22 inf + 0 362.048 * * [simplify]: Extracting #5: cost 137 inf + 0 362.049 * * [simplify]: Extracting #6: cost 279 inf + 43 362.051 * * [simplify]: Extracting #7: cost 299 inf + 3131 362.058 * * [simplify]: Extracting #8: cost 214 inf + 17928 362.070 * * [simplify]: Extracting #9: cost 133 inf + 44309 362.084 * * [simplify]: Extracting #10: cost 46 inf + 83104 362.109 * * [simplify]: Extracting #11: cost 3 inf + 107644 362.138 * * [simplify]: Extracting #12: cost 0 inf + 112279 362.160 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 362.160 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 362.161 * * * * [progress]: [ 1007 / 4754 ] simplifiying candidate # 362.161 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 362.161 * * [simplify]: iters left: 6 (43 enodes) 362.173 * * [simplify]: iters left: 5 (211 enodes) 362.259 * * [simplify]: Extracting #0: cost 1 inf + 0 362.259 * * [simplify]: Extracting #1: cost 3 inf + 0 362.259 * * [simplify]: Extracting #2: cost 6 inf + 0 362.259 * * [simplify]: Extracting #3: cost 10 inf + 0 362.259 * * [simplify]: Extracting #4: cost 20 inf + 0 362.259 * * [simplify]: Extracting #5: cost 120 inf + 0 362.260 * * [simplify]: Extracting #6: cost 245 inf + 44 362.262 * * [simplify]: Extracting #7: cost 270 inf + 1317 362.269 * * [simplify]: Extracting #8: cost 170 inf + 21376 362.281 * * [simplify]: Extracting #9: cost 32 inf + 71927 362.296 * * [simplify]: Extracting #10: cost 7 inf + 83757 362.327 * * [simplify]: Extracting #11: cost 0 inf + 89773 362.359 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 362.359 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 362.360 * * * * [progress]: [ 1008 / 4754 ] simplifiying candidate # 362.361 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 362.361 * * [simplify]: iters left: 6 (49 enodes) 362.383 * * [simplify]: iters left: 5 (244 enodes) 362.446 * * [simplify]: Extracting #0: cost 1 inf + 0 362.446 * * [simplify]: Extracting #1: cost 3 inf + 0 362.446 * * [simplify]: Extracting #2: cost 6 inf + 0 362.446 * * [simplify]: Extracting #3: cost 10 inf + 0 362.446 * * [simplify]: Extracting #4: cost 16 inf + 0 362.447 * * [simplify]: Extracting #5: cost 107 inf + 0 362.447 * * [simplify]: Extracting #6: cost 273 inf + 0 362.448 * * [simplify]: Extracting #7: cost 329 inf + 622 362.452 * * [simplify]: Extracting #8: cost 204 inf + 24850 362.470 * * [simplify]: Extracting #9: cost 69 inf + 74537 362.502 * * [simplify]: Extracting #10: cost 16 inf + 98364 362.522 * * [simplify]: Extracting #11: cost 4 inf + 105824 362.544 * * [simplify]: Extracting #12: cost 1 inf + 110379 362.585 * * [simplify]: Extracting #13: cost 0 inf + 112204 362.626 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 362.626 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 362.627 * * * * [progress]: [ 1009 / 4754 ] simplifiying candidate # 362.628 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 362.629 * * [simplify]: iters left: 6 (49 enodes) 362.655 * * [simplify]: iters left: 5 (246 enodes) 362.750 * * [simplify]: Extracting #0: cost 1 inf + 0 362.750 * * [simplify]: Extracting #1: cost 3 inf + 0 362.750 * * [simplify]: Extracting #2: cost 6 inf + 0 362.750 * * [simplify]: Extracting #3: cost 10 inf + 0 362.750 * * [simplify]: Extracting #4: cost 16 inf + 0 362.751 * * [simplify]: Extracting #5: cost 106 inf + 0 362.752 * * [simplify]: Extracting #6: cost 278 inf + 0 362.754 * * [simplify]: Extracting #7: cost 327 inf + 1105 362.760 * * [simplify]: Extracting #8: cost 217 inf + 19271 362.768 * * [simplify]: Extracting #9: cost 124 inf + 46447 362.784 * * [simplify]: Extracting #10: cost 33 inf + 85351 362.821 * * [simplify]: Extracting #11: cost 2 inf + 106141 362.862 * * [simplify]: Extracting #12: cost 0 inf + 108991 362.883 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 362.883 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 362.884 * * * * [progress]: [ 1010 / 4754 ] simplifiying candidate # 362.885 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 362.885 * * [simplify]: iters left: 6 (49 enodes) 362.909 * * [simplify]: iters left: 5 (246 enodes) 362.982 * * [simplify]: Extracting #0: cost 1 inf + 0 362.982 * * [simplify]: Extracting #1: cost 3 inf + 0 362.982 * * [simplify]: Extracting #2: cost 6 inf + 0 362.982 * * [simplify]: Extracting #3: cost 10 inf + 0 362.982 * * [simplify]: Extracting #4: cost 16 inf + 0 362.982 * * [simplify]: Extracting #5: cost 109 inf + 0 362.983 * * [simplify]: Extracting #6: cost 276 inf + 0 362.984 * * [simplify]: Extracting #7: cost 315 inf + 1317 362.987 * * [simplify]: Extracting #8: cost 200 inf + 20743 362.999 * * [simplify]: Extracting #9: cost 67 inf + 68873 363.016 * * [simplify]: Extracting #10: cost 10 inf + 93334 363.034 * * [simplify]: Extracting #11: cost 3 inf + 101176 363.057 * * [simplify]: Extracting #12: cost 0 inf + 105731 363.078 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 363.078 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 363.080 * * * * [progress]: [ 1011 / 4754 ] simplifiying candidate # 363.080 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 363.080 * * [simplify]: iters left: 6 (41 enodes) 363.101 * * [simplify]: iters left: 5 (196 enodes) 363.149 * * [simplify]: Extracting #0: cost 1 inf + 0 363.149 * * [simplify]: Extracting #1: cost 3 inf + 0 363.149 * * [simplify]: Extracting #2: cost 6 inf + 0 363.149 * * [simplify]: Extracting #3: cost 10 inf + 0 363.149 * * [simplify]: Extracting #4: cost 16 inf + 0 363.149 * * [simplify]: Extracting #5: cost 93 inf + 0 363.149 * * [simplify]: Extracting #6: cost 220 inf + 0 363.150 * * [simplify]: Extracting #7: cost 251 inf + 540 363.152 * * [simplify]: Extracting #8: cost 167 inf + 11931 363.158 * * [simplify]: Extracting #9: cost 96 inf + 33500 363.173 * * [simplify]: Extracting #10: cost 17 inf + 66687 363.199 * * [simplify]: Extracting #11: cost 2 inf + 78369 363.219 * * [simplify]: Extracting #12: cost 0 inf + 79499 363.234 * * [simplify]: Extracting #13: cost 0 inf + 79179 363.260 * * [simplify]: Extracting #14: cost 0 inf + 79099 363.274 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 363.274 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 363.275 * * * * [progress]: [ 1012 / 4754 ] simplifiying candidate # 363.275 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 363.276 * * [simplify]: iters left: 6 (49 enodes) 363.288 * * [simplify]: iters left: 5 (244 enodes) 363.354 * * [simplify]: Extracting #0: cost 1 inf + 0 363.354 * * [simplify]: Extracting #1: cost 3 inf + 0 363.354 * * [simplify]: Extracting #2: cost 6 inf + 0 363.354 * * [simplify]: Extracting #3: cost 10 inf + 0 363.354 * * [simplify]: Extracting #4: cost 22 inf + 0 363.354 * * [simplify]: Extracting #5: cost 132 inf + 0 363.355 * * [simplify]: Extracting #6: cost 274 inf + 44 363.356 * * [simplify]: Extracting #7: cost 294 inf + 2131 363.360 * * [simplify]: Extracting #8: cost 179 inf + 25725 363.371 * * [simplify]: Extracting #9: cost 66 inf + 69084 363.399 * * [simplify]: Extracting #10: cost 13 inf + 94844 363.441 * * [simplify]: Extracting #11: cost 0 inf + 102436 363.477 * * [simplify]: Extracting #12: cost 0 inf + 101716 363.495 * * [simplify]: Extracting #13: cost 0 inf + 101476 363.519 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 363.519 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 363.520 * * * * [progress]: [ 1013 / 4754 ] simplifiying candidate # 363.521 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 363.521 * * [simplify]: iters left: 6 (43 enodes) 363.542 * * [simplify]: iters left: 5 (210 enodes) 363.590 * * [simplify]: Extracting #0: cost 1 inf + 0 363.590 * * [simplify]: Extracting #1: cost 3 inf + 0 363.590 * * [simplify]: Extracting #2: cost 6 inf + 0 363.590 * * [simplify]: Extracting #3: cost 10 inf + 0 363.590 * * [simplify]: Extracting #4: cost 20 inf + 0 363.590 * * [simplify]: Extracting #5: cost 116 inf + 0 363.591 * * [simplify]: Extracting #6: cost 241 inf + 44 363.592 * * [simplify]: Extracting #7: cost 261 inf + 2092 363.595 * * [simplify]: Extracting #8: cost 157 inf + 20753 363.601 * * [simplify]: Extracting #9: cost 102 inf + 35761 363.612 * * [simplify]: Extracting #10: cost 24 inf + 66395 363.635 * * [simplify]: Extracting #11: cost 4 inf + 77055 363.667 * * [simplify]: Extracting #12: cost 0 inf + 82515 363.695 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 363.695 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 363.695 * * * * [progress]: [ 1014 / 4754 ] simplifiying candidate # 363.696 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 363.696 * * [simplify]: iters left: 6 (49 enodes) 363.709 * * [simplify]: iters left: 5 (244 enodes) 363.793 * * [simplify]: Extracting #0: cost 1 inf + 0 363.793 * * [simplify]: Extracting #1: cost 3 inf + 0 363.793 * * [simplify]: Extracting #2: cost 6 inf + 0 363.793 * * [simplify]: Extracting #3: cost 10 inf + 0 363.793 * * [simplify]: Extracting #4: cost 22 inf + 0 363.793 * * [simplify]: Extracting #5: cost 132 inf + 0 363.794 * * [simplify]: Extracting #6: cost 273 inf + 86 363.795 * * [simplify]: Extracting #7: cost 290 inf + 2901 363.799 * * [simplify]: Extracting #8: cost 178 inf + 26648 363.811 * * [simplify]: Extracting #9: cost 59 inf + 72586 363.842 * * [simplify]: Extracting #10: cost 7 inf + 97127 363.866 * * [simplify]: Extracting #11: cost 0 inf + 103076 363.889 * * [simplify]: Extracting #12: cost 0 inf + 102396 363.918 * * [simplify]: Extracting #13: cost 0 inf + 102156 363.940 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 363.940 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 363.942 * * * * [progress]: [ 1015 / 4754 ] simplifiying candidate # 363.942 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 363.943 * * [simplify]: iters left: 6 (43 enodes) 363.966 * * [simplify]: iters left: 5 (210 enodes) 364.029 * * [simplify]: Extracting #0: cost 1 inf + 0 364.029 * * [simplify]: Extracting #1: cost 3 inf + 0 364.029 * * [simplify]: Extracting #2: cost 6 inf + 0 364.029 * * [simplify]: Extracting #3: cost 10 inf + 0 364.029 * * [simplify]: Extracting #4: cost 20 inf + 0 364.029 * * [simplify]: Extracting #5: cost 115 inf + 0 364.030 * * [simplify]: Extracting #6: cost 241 inf + 44 364.031 * * [simplify]: Extracting #7: cost 263 inf + 1762 364.037 * * [simplify]: Extracting #8: cost 133 inf + 28737 364.058 * * [simplify]: Extracting #9: cost 29 inf + 65817 364.075 * * [simplify]: Extracting #10: cost 4 inf + 77295 364.093 * * [simplify]: Extracting #11: cost 0 inf + 82755 364.117 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 364.117 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 364.118 * * * * [progress]: [ 1016 / 4754 ] simplifiying candidate # 364.119 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 364.120 * * [simplify]: iters left: 6 (49 enodes) 364.146 * * [simplify]: iters left: 5 (245 enodes) 364.217 * * [simplify]: Extracting #0: cost 1 inf + 0 364.217 * * [simplify]: Extracting #1: cost 3 inf + 0 364.217 * * [simplify]: Extracting #2: cost 6 inf + 0 364.217 * * [simplify]: Extracting #3: cost 10 inf + 0 364.217 * * [simplify]: Extracting #4: cost 16 inf + 0 364.218 * * [simplify]: Extracting #5: cost 111 inf + 0 364.218 * * [simplify]: Extracting #6: cost 274 inf + 0 364.220 * * [simplify]: Extracting #7: cost 324 inf + 1677 364.224 * * [simplify]: Extracting #8: cost 187 inf + 31495 364.237 * * [simplify]: Extracting #9: cost 74 inf + 76998 364.261 * * [simplify]: Extracting #10: cost 8 inf + 112222 364.285 * * [simplify]: Extracting #11: cost 0 inf + 117917 364.326 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 364.326 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 364.327 * * * * [progress]: [ 1017 / 4754 ] simplifiying candidate # 364.328 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 364.328 * * [simplify]: iters left: 6 (49 enodes) 364.354 * * [simplify]: iters left: 5 (247 enodes) 364.445 * * [simplify]: Extracting #0: cost 1 inf + 0 364.445 * * [simplify]: Extracting #1: cost 3 inf + 0 364.445 * * [simplify]: Extracting #2: cost 6 inf + 0 364.446 * * [simplify]: Extracting #3: cost 10 inf + 0 364.446 * * [simplify]: Extracting #4: cost 16 inf + 0 364.446 * * [simplify]: Extracting #5: cost 110 inf + 0 364.447 * * [simplify]: Extracting #6: cost 280 inf + 0 364.450 * * [simplify]: Extracting #7: cost 327 inf + 1593 364.458 * * [simplify]: Extracting #8: cost 213 inf + 22617 364.471 * * [simplify]: Extracting #9: cost 142 inf + 42908 364.486 * * [simplify]: Extracting #10: cost 42 inf + 85960 364.512 * * [simplify]: Extracting #11: cost 2 inf + 111759 364.551 * * [simplify]: Extracting #12: cost 0 inf + 115289 364.572 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 364.572 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 364.573 * * * * [progress]: [ 1018 / 4754 ] simplifiying candidate # 364.573 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 364.574 * * [simplify]: iters left: 6 (49 enodes) 364.600 * * [simplify]: iters left: 5 (247 enodes) 364.660 * * [simplify]: Extracting #0: cost 1 inf + 0 364.660 * * [simplify]: Extracting #1: cost 3 inf + 0 364.660 * * [simplify]: Extracting #2: cost 6 inf + 0 364.660 * * [simplify]: Extracting #3: cost 10 inf + 0 364.660 * * [simplify]: Extracting #4: cost 16 inf + 0 364.661 * * [simplify]: Extracting #5: cost 113 inf + 0 364.661 * * [simplify]: Extracting #6: cost 278 inf + 0 364.662 * * [simplify]: Extracting #7: cost 319 inf + 1432 364.667 * * [simplify]: Extracting #8: cost 179 inf + 32094 364.687 * * [simplify]: Extracting #9: cost 58 inf + 79949 364.725 * * [simplify]: Extracting #10: cost 7 inf + 106466 364.751 * * [simplify]: Extracting #11: cost 0 inf + 112149 364.777 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 364.778 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 364.778 * * * * [progress]: [ 1019 / 4754 ] simplifiying candidate # 364.778 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 364.779 * * [simplify]: iters left: 6 (41 enodes) 364.789 * * [simplify]: iters left: 5 (199 enodes) 364.854 * * [simplify]: Extracting #0: cost 1 inf + 0 364.854 * * [simplify]: Extracting #1: cost 3 inf + 0 364.854 * * [simplify]: Extracting #2: cost 6 inf + 0 364.854 * * [simplify]: Extracting #3: cost 10 inf + 0 364.854 * * [simplify]: Extracting #4: cost 16 inf + 0 364.854 * * [simplify]: Extracting #5: cost 96 inf + 0 364.855 * * [simplify]: Extracting #6: cost 228 inf + 0 364.856 * * [simplify]: Extracting #7: cost 253 inf + 1232 364.859 * * [simplify]: Extracting #8: cost 152 inf + 20975 364.867 * * [simplify]: Extracting #9: cost 101 inf + 37234 364.879 * * [simplify]: Extracting #10: cost 21 inf + 72625 364.895 * * [simplify]: Extracting #11: cost 2 inf + 85097 364.925 * * [simplify]: Extracting #12: cost 0 inf + 87427 364.946 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 364.946 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 364.946 * * * * [progress]: [ 1020 / 4754 ] simplifiying candidate # 364.947 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 364.947 * * [simplify]: iters left: 6 (49 enodes) 364.967 * * [simplify]: iters left: 5 (245 enodes) 365.041 * * [simplify]: Extracting #0: cost 1 inf + 0 365.041 * * [simplify]: Extracting #1: cost 3 inf + 0 365.041 * * [simplify]: Extracting #2: cost 6 inf + 0 365.041 * * [simplify]: Extracting #3: cost 10 inf + 0 365.041 * * [simplify]: Extracting #4: cost 22 inf + 0 365.042 * * [simplify]: Extracting #5: cost 136 inf + 0 365.043 * * [simplify]: Extracting #6: cost 277 inf + 43 365.045 * * [simplify]: Extracting #7: cost 301 inf + 2005 365.051 * * [simplify]: Extracting #8: cost 225 inf + 14537 365.062 * * [simplify]: Extracting #9: cost 143 inf + 39588 365.074 * * [simplify]: Extracting #10: cost 56 inf + 75654 365.096 * * [simplify]: Extracting #11: cost 7 inf + 105224 365.124 * * [simplify]: Extracting #12: cost 0 inf + 111119 365.149 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 365.149 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 365.149 * * * * [progress]: [ 1021 / 4754 ] simplifiying candidate # 365.150 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 365.150 * * [simplify]: iters left: 6 (43 enodes) 365.161 * * [simplify]: iters left: 5 (211 enodes) 365.226 * * [simplify]: Extracting #0: cost 1 inf + 0 365.226 * * [simplify]: Extracting #1: cost 3 inf + 0 365.226 * * [simplify]: Extracting #2: cost 6 inf + 0 365.226 * * [simplify]: Extracting #3: cost 10 inf + 0 365.226 * * [simplify]: Extracting #4: cost 20 inf + 0 365.226 * * [simplify]: Extracting #5: cost 120 inf + 0 365.226 * * [simplify]: Extracting #6: cost 243 inf + 44 365.227 * * [simplify]: Extracting #7: cost 267 inf + 1882 365.232 * * [simplify]: Extracting #8: cost 147 inf + 30094 365.250 * * [simplify]: Extracting #9: cost 33 inf + 72438 365.278 * * [simplify]: Extracting #10: cost 5 inf + 86367 365.294 * * [simplify]: Extracting #11: cost 0 inf + 89453 365.316 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 365.316 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1)))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 365.317 * * * * [progress]: [ 1022 / 4754 ] simplifiying candidate # 365.318 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 365.319 * * [simplify]: iters left: 6 (49 enodes) 365.340 * * [simplify]: iters left: 5 (245 enodes) 365.425 * * [simplify]: Extracting #0: cost 1 inf + 0 365.426 * * [simplify]: Extracting #1: cost 3 inf + 0 365.426 * * [simplify]: Extracting #2: cost 6 inf + 0 365.426 * * [simplify]: Extracting #3: cost 10 inf + 0 365.426 * * [simplify]: Extracting #4: cost 22 inf + 0 365.426 * * [simplify]: Extracting #5: cost 136 inf + 0 365.428 * * [simplify]: Extracting #6: cost 277 inf + 43 365.430 * * [simplify]: Extracting #7: cost 295 inf + 3940 365.437 * * [simplify]: Extracting #8: cost 216 inf + 17603 365.452 * * [simplify]: Extracting #9: cost 141 inf + 40856 365.465 * * [simplify]: Extracting #10: cost 53 inf + 78196 365.495 * * [simplify]: Extracting #11: cost 6 inf + 106489 365.517 * * [simplify]: Extracting #12: cost 0 inf + 111799 365.546 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 365.546 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 365.547 * * * * [progress]: [ 1023 / 4754 ] simplifiying candidate # 365.547 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 365.548 * * [simplify]: iters left: 6 (43 enodes) 365.563 * * [simplify]: iters left: 5 (211 enodes) 365.634 * * [simplify]: Extracting #0: cost 1 inf + 0 365.635 * * [simplify]: Extracting #1: cost 3 inf + 0 365.635 * * [simplify]: Extracting #2: cost 6 inf + 0 365.635 * * [simplify]: Extracting #3: cost 10 inf + 0 365.635 * * [simplify]: Extracting #4: cost 20 inf + 0 365.635 * * [simplify]: Extracting #5: cost 119 inf + 0 365.635 * * [simplify]: Extracting #6: cost 243 inf + 44 365.636 * * [simplify]: Extracting #7: cost 270 inf + 1276 365.640 * * [simplify]: Extracting #8: cost 168 inf + 22813 365.651 * * [simplify]: Extracting #9: cost 37 inf + 70885 365.677 * * [simplify]: Extracting #10: cost 5 inf + 86607 365.693 * * [simplify]: Extracting #11: cost 0 inf + 89693 365.718 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 365.718 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 365.719 * * * * [progress]: [ 1024 / 4754 ] simplifiying candidate # 365.719 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 365.720 * * [simplify]: iters left: 6 (49 enodes) 365.746 * * [simplify]: iters left: 5 (245 enodes) 365.826 * * [simplify]: Extracting #0: cost 1 inf + 0 365.826 * * [simplify]: Extracting #1: cost 3 inf + 0 365.826 * * [simplify]: Extracting #2: cost 6 inf + 0 365.826 * * [simplify]: Extracting #3: cost 10 inf + 0 365.826 * * [simplify]: Extracting #4: cost 16 inf + 0 365.826 * * [simplify]: Extracting #5: cost 108 inf + 0 365.827 * * [simplify]: Extracting #6: cost 277 inf + 0 365.828 * * [simplify]: Extracting #7: cost 326 inf + 867 365.832 * * [simplify]: Extracting #8: cost 189 inf + 28836 365.846 * * [simplify]: Extracting #9: cost 57 inf + 79825 365.883 * * [simplify]: Extracting #10: cost 12 inf + 101424 365.921 * * [simplify]: Extracting #11: cost 2 inf + 106914 365.942 * * [simplify]: Extracting #12: cost 0 inf + 109804 365.976 * * [simplify]: Extracting #13: cost 0 inf + 109564 366.016 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 366.016 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 366.017 * * * * [progress]: [ 1025 / 4754 ] simplifiying candidate # 366.018 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 366.019 * * [simplify]: iters left: 6 (49 enodes) 366.033 * * [simplify]: iters left: 5 (247 enodes) 366.109 * * [simplify]: Extracting #0: cost 1 inf + 0 366.109 * * [simplify]: Extracting #1: cost 3 inf + 0 366.109 * * [simplify]: Extracting #2: cost 6 inf + 0 366.109 * * [simplify]: Extracting #3: cost 10 inf + 0 366.109 * * [simplify]: Extracting #4: cost 16 inf + 0 366.109 * * [simplify]: Extracting #5: cost 107 inf + 0 366.110 * * [simplify]: Extracting #6: cost 283 inf + 0 366.111 * * [simplify]: Extracting #7: cost 320 inf + 2082 366.116 * * [simplify]: Extracting #8: cost 170 inf + 33841 366.129 * * [simplify]: Extracting #9: cost 58 inf + 77154 366.148 * * [simplify]: Extracting #10: cost 8 inf + 102672 366.167 * * [simplify]: Extracting #11: cost 0 inf + 107256 366.196 * * [simplify]: Extracting #12: cost 0 inf + 106776 366.227 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 366.227 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 366.228 * * * * [progress]: [ 1026 / 4754 ] simplifiying candidate # 366.228 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 366.229 * * [simplify]: iters left: 6 (49 enodes) 366.243 * * [simplify]: iters left: 5 (247 enodes) 366.355 * * [simplify]: Extracting #0: cost 1 inf + 0 366.355 * * [simplify]: Extracting #1: cost 3 inf + 0 366.355 * * [simplify]: Extracting #2: cost 6 inf + 0 366.355 * * [simplify]: Extracting #3: cost 10 inf + 0 366.356 * * [simplify]: Extracting #4: cost 16 inf + 0 366.356 * * [simplify]: Extracting #5: cost 110 inf + 0 366.357 * * [simplify]: Extracting #6: cost 281 inf + 0 366.359 * * [simplify]: Extracting #7: cost 315 inf + 1718 366.366 * * [simplify]: Extracting #8: cost 201 inf + 22384 366.380 * * [simplify]: Extracting #9: cost 131 inf + 42377 366.406 * * [simplify]: Extracting #10: cost 38 inf + 79538 366.438 * * [simplify]: Extracting #11: cost 4 inf + 100096 366.480 * * [simplify]: Extracting #12: cost 0 inf + 105796 366.501 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 366.502 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 366.502 * * * * [progress]: [ 1027 / 4754 ] simplifiying candidate # 366.502 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 366.503 * * [simplify]: iters left: 6 (41 enodes) 366.514 * * [simplify]: iters left: 5 (198 enodes) 366.595 * * [simplify]: Extracting #0: cost 1 inf + 0 366.595 * * [simplify]: Extracting #1: cost 3 inf + 0 366.595 * * [simplify]: Extracting #2: cost 6 inf + 0 366.595 * * [simplify]: Extracting #3: cost 10 inf + 0 366.595 * * [simplify]: Extracting #4: cost 16 inf + 0 366.595 * * [simplify]: Extracting #5: cost 95 inf + 0 366.596 * * [simplify]: Extracting #6: cost 232 inf + 0 366.598 * * [simplify]: Extracting #7: cost 247 inf + 2285 366.604 * * [simplify]: Extracting #8: cost 121 inf + 31084 366.616 * * [simplify]: Extracting #9: cost 29 inf + 66392 366.632 * * [simplify]: Extracting #10: cost 7 inf + 80159 366.648 * * [simplify]: Extracting #11: cost 0 inf + 82118 366.663 * * [simplify]: Extracting #12: cost 0 inf + 81838 366.690 * * [simplify]: Extracting #13: cost 0 inf + 81758 366.716 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 366.716 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 366.716 * * * * [progress]: [ 1028 / 4754 ] simplifiying candidate # 366.717 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 366.717 * * [simplify]: iters left: 6 (49 enodes) 366.730 * * [simplify]: iters left: 5 (245 enodes) 366.818 * * [simplify]: Extracting #0: cost 1 inf + 0 366.818 * * [simplify]: Extracting #1: cost 3 inf + 0 366.818 * * [simplify]: Extracting #2: cost 6 inf + 0 366.819 * * [simplify]: Extracting #3: cost 10 inf + 0 366.819 * * [simplify]: Extracting #4: cost 22 inf + 0 366.819 * * [simplify]: Extracting #5: cost 133 inf + 0 366.819 * * [simplify]: Extracting #6: cost 277 inf + 85 366.821 * * [simplify]: Extracting #7: cost 292 inf + 2694 366.825 * * [simplify]: Extracting #8: cost 190 inf + 22950 366.836 * * [simplify]: Extracting #9: cost 123 inf + 44872 366.861 * * [simplify]: Extracting #10: cost 35 inf + 81361 366.894 * * [simplify]: Extracting #11: cost 7 inf + 96781 366.936 * * [simplify]: Extracting #12: cost 0 inf + 103116 366.963 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 366.964 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 366.964 * * * * [progress]: [ 1029 / 4754 ] simplifiying candidate # 366.964 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 366.965 * * [simplify]: iters left: 6 (43 enodes) 366.976 * * [simplify]: iters left: 5 (211 enodes) 367.059 * * [simplify]: Extracting #0: cost 1 inf + 0 367.060 * * [simplify]: Extracting #1: cost 3 inf + 0 367.060 * * [simplify]: Extracting #2: cost 6 inf + 0 367.060 * * [simplify]: Extracting #3: cost 10 inf + 0 367.060 * * [simplify]: Extracting #4: cost 20 inf + 0 367.060 * * [simplify]: Extracting #5: cost 117 inf + 0 367.061 * * [simplify]: Extracting #6: cost 246 inf + 44 367.063 * * [simplify]: Extracting #7: cost 257 inf + 2982 367.070 * * [simplify]: Extracting #8: cost 153 inf + 22488 367.082 * * [simplify]: Extracting #9: cost 103 inf + 36338 367.105 * * [simplify]: Extracting #10: cost 18 inf + 71063 367.132 * * [simplify]: Extracting #11: cost 4 inf + 78160 367.161 * * [simplify]: Extracting #12: cost 0 inf + 83180 367.196 * * [simplify]: Extracting #13: cost 0 inf + 82860 367.228 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 367.228 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 367.229 * * * * [progress]: [ 1030 / 4754 ] simplifiying candidate # 367.230 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 367.230 * * [simplify]: iters left: 6 (49 enodes) 367.255 * * [simplify]: iters left: 5 (245 enodes) 367.335 * * [simplify]: Extracting #0: cost 1 inf + 0 367.335 * * [simplify]: Extracting #1: cost 3 inf + 0 367.335 * * [simplify]: Extracting #2: cost 6 inf + 0 367.335 * * [simplify]: Extracting #3: cost 10 inf + 0 367.335 * * [simplify]: Extracting #4: cost 22 inf + 0 367.336 * * [simplify]: Extracting #5: cost 133 inf + 0 367.337 * * [simplify]: Extracting #6: cost 276 inf + 127 367.340 * * [simplify]: Extracting #7: cost 278 inf + 5164 367.349 * * [simplify]: Extracting #8: cost 187 inf + 24039 367.363 * * [simplify]: Extracting #9: cost 121 inf + 46281 367.390 * * [simplify]: Extracting #10: cost 34 inf + 82491 367.424 * * [simplify]: Extracting #11: cost 7 inf + 97461 367.450 * * [simplify]: Extracting #12: cost 0 inf + 103796 367.482 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 367.482 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 367.483 * * * * [progress]: [ 1031 / 4754 ] simplifiying candidate # 367.483 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 367.484 * * [simplify]: iters left: 6 (43 enodes) 367.507 * * [simplify]: iters left: 5 (211 enodes) 367.600 * * [simplify]: Extracting #0: cost 1 inf + 0 367.600 * * [simplify]: Extracting #1: cost 3 inf + 0 367.600 * * [simplify]: Extracting #2: cost 6 inf + 0 367.600 * * [simplify]: Extracting #3: cost 10 inf + 0 367.600 * * [simplify]: Extracting #4: cost 20 inf + 0 367.601 * * [simplify]: Extracting #5: cost 116 inf + 0 367.601 * * [simplify]: Extracting #6: cost 246 inf + 44 367.602 * * [simplify]: Extracting #7: cost 263 inf + 1929 367.604 * * [simplify]: Extracting #8: cost 182 inf + 13356 367.610 * * [simplify]: Extracting #9: cost 105 inf + 35251 367.622 * * [simplify]: Extracting #10: cost 18 inf + 71303 367.640 * * [simplify]: Extracting #11: cost 4 inf + 78400 367.670 * * [simplify]: Extracting #12: cost 0 inf + 83420 367.694 * * [simplify]: Extracting #13: cost 0 inf + 83100 367.711 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 367.712 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 367.712 * * * * [progress]: [ 1032 / 4754 ] simplifiying candidate # 367.713 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 367.713 * * [simplify]: iters left: 6 (43 enodes) 367.727 * * [simplify]: iters left: 5 (214 enodes) 367.788 * * [simplify]: Extracting #0: cost 1 inf + 0 367.788 * * [simplify]: Extracting #1: cost 3 inf + 0 367.788 * * [simplify]: Extracting #2: cost 6 inf + 0 367.788 * * [simplify]: Extracting #3: cost 10 inf + 0 367.788 * * [simplify]: Extracting #4: cost 16 inf + 0 367.788 * * [simplify]: Extracting #5: cost 98 inf + 0 367.789 * * [simplify]: Extracting #6: cost 243 inf + 2 367.791 * * [simplify]: Extracting #7: cost 265 inf + 2370 367.800 * * [simplify]: Extracting #8: cost 187 inf + 14448 367.808 * * [simplify]: Extracting #9: cost 110 inf + 32604 367.818 * * [simplify]: Extracting #10: cost 28 inf + 64864 367.832 * * [simplify]: Extracting #11: cost 6 inf + 76101 367.856 * * [simplify]: Extracting #12: cost 1 inf + 82175 367.887 * * [simplify]: Extracting #13: cost 0 inf + 83480 367.905 * * [simplify]: Extracting #14: cost 0 inf + 83400 367.922 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 367.922 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 367.923 * * * * [progress]: [ 1033 / 4754 ] simplifiying candidate # 367.924 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 367.924 * * [simplify]: iters left: 6 (43 enodes) 367.942 * * [simplify]: iters left: 5 (212 enodes) 368.005 * * [simplify]: Extracting #0: cost 1 inf + 0 368.005 * * [simplify]: Extracting #1: cost 3 inf + 0 368.005 * * [simplify]: Extracting #2: cost 6 inf + 0 368.005 * * [simplify]: Extracting #3: cost 10 inf + 0 368.005 * * [simplify]: Extracting #4: cost 19 inf + 0 368.005 * * [simplify]: Extracting #5: cost 105 inf + 0 368.006 * * [simplify]: Extracting #6: cost 244 inf + 0 368.008 * * [simplify]: Extracting #7: cost 262 inf + 2825 368.019 * * [simplify]: Extracting #8: cost 154 inf + 20467 368.030 * * [simplify]: Extracting #9: cost 112 inf + 30960 368.049 * * [simplify]: Extracting #10: cost 33 inf + 58782 368.074 * * [simplify]: Extracting #11: cost 7 inf + 70310 368.108 * * [simplify]: Extracting #12: cost 2 inf + 75675 368.130 * * [simplify]: Extracting #13: cost 1 inf + 77140 368.145 * * [simplify]: Extracting #14: cost 0 inf + 78605 368.167 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 368.167 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 368.168 * * * * [progress]: [ 1034 / 4754 ] simplifiying candidate # 368.169 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 368.170 * * [simplify]: iters left: 6 (47 enodes) 368.194 * * [simplify]: iters left: 5 (248 enodes) 368.288 * * [simplify]: Extracting #0: cost 1 inf + 0 368.288 * * [simplify]: Extracting #1: cost 3 inf + 0 368.288 * * [simplify]: Extracting #2: cost 6 inf + 0 368.288 * * [simplify]: Extracting #3: cost 10 inf + 0 368.288 * * [simplify]: Extracting #4: cost 20 inf + 0 368.288 * * [simplify]: Extracting #5: cost 134 inf + 0 368.290 * * [simplify]: Extracting #6: cost 297 inf + 1 368.292 * * [simplify]: Extracting #7: cost 363 inf + 701 368.304 * * [simplify]: Extracting #8: cost 206 inf + 43662 368.340 * * [simplify]: Extracting #9: cost 31 inf + 117886 368.365 * * [simplify]: Extracting #10: cost 2 inf + 131944 368.406 * * [simplify]: Extracting #11: cost 0 inf + 132208 368.454 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 368.454 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 368.455 * * * * [progress]: [ 1035 / 4754 ] simplifiying candidate # 368.456 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 368.456 * * [simplify]: iters left: 6 (48 enodes) 368.476 * * [simplify]: iters left: 5 (252 enodes) 368.557 * * [simplify]: Extracting #0: cost 1 inf + 0 368.557 * * [simplify]: Extracting #1: cost 3 inf + 0 368.557 * * [simplify]: Extracting #2: cost 6 inf + 0 368.557 * * [simplify]: Extracting #3: cost 10 inf + 0 368.557 * * [simplify]: Extracting #4: cost 20 inf + 0 368.557 * * [simplify]: Extracting #5: cost 133 inf + 0 368.558 * * [simplify]: Extracting #6: cost 303 inf + 1 368.560 * * [simplify]: Extracting #7: cost 362 inf + 1069 368.572 * * [simplify]: Extracting #8: cost 189 inf + 44034 368.607 * * [simplify]: Extracting #9: cost 35 inf + 105935 368.642 * * [simplify]: Extracting #10: cost 1 inf + 127717 368.678 * * [simplify]: Extracting #11: cost 0 inf + 127929 368.723 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 368.723 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 368.725 * * * * [progress]: [ 1036 / 4754 ] simplifiying candidate # 368.725 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 368.726 * * [simplify]: iters left: 6 (48 enodes) 368.752 * * [simplify]: iters left: 5 (252 enodes) 368.843 * * [simplify]: Extracting #0: cost 1 inf + 0 368.843 * * [simplify]: Extracting #1: cost 3 inf + 0 368.843 * * [simplify]: Extracting #2: cost 6 inf + 0 368.843 * * [simplify]: Extracting #3: cost 10 inf + 0 368.843 * * [simplify]: Extracting #4: cost 20 inf + 0 368.844 * * [simplify]: Extracting #5: cost 136 inf + 0 368.845 * * [simplify]: Extracting #6: cost 304 inf + 1 368.848 * * [simplify]: Extracting #7: cost 363 inf + 457 368.858 * * [simplify]: Extracting #8: cost 210 inf + 39215 368.888 * * [simplify]: Extracting #9: cost 46 inf + 99378 368.915 * * [simplify]: Extracting #10: cost 4 inf + 121866 368.953 * * [simplify]: Extracting #11: cost 1 inf + 123915 368.975 * * [simplify]: Extracting #12: cost 0 inf + 125620 369.016 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 369.016 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 369.017 * * * * [progress]: [ 1037 / 4754 ] simplifiying candidate # 369.017 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 369.018 * * [simplify]: iters left: 6 (48 enodes) 369.043 * * [simplify]: iters left: 5 (254 enodes) 369.128 * * [simplify]: Extracting #0: cost 1 inf + 0 369.128 * * [simplify]: Extracting #1: cost 3 inf + 0 369.128 * * [simplify]: Extracting #2: cost 6 inf + 0 369.128 * * [simplify]: Extracting #3: cost 10 inf + 0 369.128 * * [simplify]: Extracting #4: cost 20 inf + 0 369.129 * * [simplify]: Extracting #5: cost 138 inf + 0 369.129 * * [simplify]: Extracting #6: cost 296 inf + 44 369.131 * * [simplify]: Extracting #7: cost 329 inf + 2495 369.137 * * [simplify]: Extracting #8: cost 261 inf + 13724 369.152 * * [simplify]: Extracting #9: cost 146 inf + 49596 369.172 * * [simplify]: Extracting #10: cost 29 inf + 103256 369.198 * * [simplify]: Extracting #11: cost 2 inf + 117413 369.223 * * [simplify]: Extracting #12: cost 0 inf + 120703 369.256 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 369.256 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 369.256 * * * * [progress]: [ 1038 / 4754 ] simplifiying candidate # 369.257 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 369.257 * * [simplify]: iters left: 6 (45 enodes) 369.270 * * [simplify]: iters left: 5 (236 enodes) 369.361 * * [simplify]: Extracting #0: cost 1 inf + 0 369.362 * * [simplify]: Extracting #1: cost 3 inf + 0 369.362 * * [simplify]: Extracting #2: cost 6 inf + 0 369.362 * * [simplify]: Extracting #3: cost 10 inf + 0 369.362 * * [simplify]: Extracting #4: cost 24 inf + 0 369.362 * * [simplify]: Extracting #5: cost 135 inf + 0 369.363 * * [simplify]: Extracting #6: cost 265 inf + 1 369.364 * * [simplify]: Extracting #7: cost 313 inf + 984 369.368 * * [simplify]: Extracting #8: cost 216 inf + 22061 369.395 * * [simplify]: Extracting #9: cost 50 inf + 89461 369.436 * * [simplify]: Extracting #10: cost 5 inf + 111099 369.461 * * [simplify]: Extracting #11: cost 0 inf + 114165 369.486 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 369.486 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 369.488 * * * * [progress]: [ 1039 / 4754 ] simplifiying candidate # 369.488 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 369.489 * * [simplify]: iters left: 6 (47 enodes) 369.513 * * [simplify]: iters left: 5 (246 enodes) 369.616 * * [simplify]: Extracting #0: cost 1 inf + 0 369.616 * * [simplify]: Extracting #1: cost 3 inf + 0 369.616 * * [simplify]: Extracting #2: cost 6 inf + 0 369.616 * * [simplify]: Extracting #3: cost 10 inf + 0 369.616 * * [simplify]: Extracting #4: cost 24 inf + 0 369.616 * * [simplify]: Extracting #5: cost 144 inf + 0 369.617 * * [simplify]: Extracting #6: cost 283 inf + 44 369.618 * * [simplify]: Extracting #7: cost 315 inf + 2492 369.622 * * [simplify]: Extracting #8: cost 237 inf + 15867 369.629 * * [simplify]: Extracting #9: cost 129 inf + 48228 369.653 * * [simplify]: Extracting #10: cost 20 inf + 96938 369.692 * * [simplify]: Extracting #11: cost 1 inf + 109425 369.717 * * [simplify]: Extracting #12: cost 0 inf + 110970 369.753 * * [simplify]: Extracting #13: cost 0 inf + 110890 369.787 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))))))) 369.787 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 369.787 * * * * [progress]: [ 1040 / 4754 ] simplifiying candidate # 369.788 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 369.788 * * [simplify]: iters left: 6 (46 enodes) 369.800 * * [simplify]: iters left: 5 (238 enodes) 370.506 * * [simplify]: Extracting #0: cost 1 inf + 0 370.506 * * [simplify]: Extracting #1: cost 3 inf + 0 370.506 * * [simplify]: Extracting #2: cost 6 inf + 0 370.506 * * [simplify]: Extracting #3: cost 10 inf + 0 370.506 * * [simplify]: Extracting #4: cost 24 inf + 0 370.507 * * [simplify]: Extracting #5: cost 136 inf + 0 370.507 * * [simplify]: Extracting #6: cost 266 inf + 1 370.509 * * [simplify]: Extracting #7: cost 315 inf + 660 370.513 * * [simplify]: Extracting #8: cost 217 inf + 22492 370.533 * * [simplify]: Extracting #9: cost 58 inf + 83541 370.556 * * [simplify]: Extracting #10: cost 10 inf + 105731 370.587 * * [simplify]: Extracting #11: cost 2 inf + 112399 370.628 * * [simplify]: Extracting #12: cost 0 inf + 115129 370.666 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 370.666 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 370.666 * * * * [progress]: [ 1041 / 4754 ] simplifiying candidate # 370.667 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 370.667 * * [simplify]: iters left: 6 (47 enodes) 370.681 * * [simplify]: iters left: 5 (246 enodes) 370.753 * * [simplify]: Extracting #0: cost 1 inf + 0 370.753 * * [simplify]: Extracting #1: cost 3 inf + 0 370.753 * * [simplify]: Extracting #2: cost 6 inf + 0 370.753 * * [simplify]: Extracting #3: cost 10 inf + 0 370.753 * * [simplify]: Extracting #4: cost 24 inf + 0 370.753 * * [simplify]: Extracting #5: cost 143 inf + 0 370.754 * * [simplify]: Extracting #6: cost 283 inf + 44 370.755 * * [simplify]: Extracting #7: cost 315 inf + 2492 370.761 * * [simplify]: Extracting #8: cost 238 inf + 15705 370.772 * * [simplify]: Extracting #9: cost 129 inf + 48508 370.805 * * [simplify]: Extracting #10: cost 20 inf + 97178 370.828 * * [simplify]: Extracting #11: cost 1 inf + 109665 370.857 * * [simplify]: Extracting #12: cost 0 inf + 111210 370.888 * * [simplify]: Extracting #13: cost 0 inf + 111130 370.908 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))))) 370.908 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 370.910 * * * * [progress]: [ 1042 / 4754 ] simplifiying candidate # 370.910 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 370.911 * * [simplify]: iters left: 6 (45 enodes) 370.935 * * [simplify]: iters left: 5 (224 enodes) 371.038 * * [simplify]: Extracting #0: cost 1 inf + 0 371.038 * * [simplify]: Extracting #1: cost 3 inf + 0 371.038 * * [simplify]: Extracting #2: cost 6 inf + 0 371.038 * * [simplify]: Extracting #3: cost 10 inf + 0 371.038 * * [simplify]: Extracting #4: cost 20 inf + 0 371.039 * * [simplify]: Extracting #5: cost 123 inf + 0 371.040 * * [simplify]: Extracting #6: cost 246 inf + 1 371.041 * * [simplify]: Extracting #7: cost 293 inf + 986 371.049 * * [simplify]: Extracting #8: cost 178 inf + 24847 371.072 * * [simplify]: Extracting #9: cost 53 inf + 72945 371.108 * * [simplify]: Extracting #10: cost 5 inf + 105444 371.148 * * [simplify]: Extracting #11: cost 0 inf + 110543 371.191 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 371.191 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 371.192 * * * * [progress]: [ 1043 / 4754 ] simplifiying candidate # 371.193 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 371.193 * * [simplify]: iters left: 6 (46 enodes) 371.218 * * [simplify]: iters left: 5 (232 enodes) 371.295 * * [simplify]: Extracting #0: cost 1 inf + 0 371.295 * * [simplify]: Extracting #1: cost 3 inf + 0 371.295 * * [simplify]: Extracting #2: cost 6 inf + 0 371.296 * * [simplify]: Extracting #3: cost 10 inf + 0 371.296 * * [simplify]: Extracting #4: cost 20 inf + 0 371.296 * * [simplify]: Extracting #5: cost 126 inf + 0 371.297 * * [simplify]: Extracting #6: cost 266 inf + 1 371.299 * * [simplify]: Extracting #7: cost 306 inf + 1313 371.307 * * [simplify]: Extracting #8: cost 175 inf + 26078 371.330 * * [simplify]: Extracting #9: cost 63 inf + 72374 371.367 * * [simplify]: Extracting #10: cost 8 inf + 106987 371.407 * * [simplify]: Extracting #11: cost 0 inf + 111762 371.449 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 371.449 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 371.450 * * * * [progress]: [ 1044 / 4754 ] simplifiying candidate # 371.451 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 371.451 * * [simplify]: iters left: 6 (46 enodes) 371.478 * * [simplify]: iters left: 5 (233 enodes) 371.559 * * [simplify]: Extracting #0: cost 1 inf + 0 371.560 * * [simplify]: Extracting #1: cost 3 inf + 0 371.560 * * [simplify]: Extracting #2: cost 6 inf + 0 371.560 * * [simplify]: Extracting #3: cost 10 inf + 0 371.560 * * [simplify]: Extracting #4: cost 20 inf + 0 371.560 * * [simplify]: Extracting #5: cost 128 inf + 0 371.561 * * [simplify]: Extracting #6: cost 275 inf + 1 371.563 * * [simplify]: Extracting #7: cost 313 inf + 746 371.574 * * [simplify]: Extracting #8: cost 153 inf + 40620 371.608 * * [simplify]: Extracting #9: cost 22 inf + 100970 371.648 * * [simplify]: Extracting #10: cost 3 inf + 113897 371.685 * * [simplify]: Extracting #11: cost 0 inf + 114213 371.707 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 371.707 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 371.708 * * * * [progress]: [ 1045 / 4754 ] simplifiying candidate # 371.708 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 371.709 * * [simplify]: iters left: 6 (46 enodes) 371.728 * * [simplify]: iters left: 5 (231 enodes) 371.805 * * [simplify]: Extracting #0: cost 1 inf + 0 371.805 * * [simplify]: Extracting #1: cost 3 inf + 0 371.806 * * [simplify]: Extracting #2: cost 6 inf + 0 371.806 * * [simplify]: Extracting #3: cost 10 inf + 0 371.806 * * [simplify]: Extracting #4: cost 22 inf + 0 371.806 * * [simplify]: Extracting #5: cost 127 inf + 0 371.807 * * [simplify]: Extracting #6: cost 254 inf + 44 371.809 * * [simplify]: Extracting #7: cost 271 inf + 2496 371.818 * * [simplify]: Extracting #8: cost 177 inf + 24384 371.834 * * [simplify]: Extracting #9: cost 105 inf + 47113 371.862 * * [simplify]: Extracting #10: cost 22 inf + 85832 371.895 * * [simplify]: Extracting #11: cost 3 inf + 98626 371.933 * * [simplify]: Extracting #12: cost 0 inf + 103101 371.972 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) 371.972 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 371.974 * * * * [progress]: [ 1046 / 4754 ] simplifiying candidate # 371.974 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 371.975 * * [simplify]: iters left: 6 (39 enodes) 371.986 * * [simplify]: iters left: 5 (190 enodes) 372.042 * * [simplify]: Extracting #0: cost 1 inf + 0 372.042 * * [simplify]: Extracting #1: cost 4 inf + 0 372.042 * * [simplify]: Extracting #2: cost 7 inf + 0 372.042 * * [simplify]: Extracting #3: cost 14 inf + 0 372.043 * * [simplify]: Extracting #4: cost 82 inf + 0 372.043 * * [simplify]: Extracting #5: cost 180 inf + 1 372.045 * * [simplify]: Extracting #6: cost 208 inf + 1150 372.050 * * [simplify]: Extracting #7: cost 141 inf + 17888 372.066 * * [simplify]: Extracting #8: cost 43 inf + 57659 372.078 * * [simplify]: Extracting #9: cost 3 inf + 73584 372.093 * * [simplify]: Extracting #10: cost 0 inf + 73768 372.118 * * [simplify]: Extracting #11: cost 0 inf + 73427 372.143 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 372.143 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 372.144 * * * * [progress]: [ 1047 / 4754 ] simplifiying candidate # 372.144 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 372.145 * * [simplify]: iters left: 6 (45 enodes) 372.167 * * [simplify]: iters left: 5 (226 enodes) 372.236 * * [simplify]: Extracting #0: cost 1 inf + 0 372.236 * * [simplify]: Extracting #1: cost 3 inf + 0 372.236 * * [simplify]: Extracting #2: cost 6 inf + 0 372.236 * * [simplify]: Extracting #3: cost 10 inf + 0 372.236 * * [simplify]: Extracting #4: cost 24 inf + 0 372.237 * * [simplify]: Extracting #5: cost 137 inf + 0 372.237 * * [simplify]: Extracting #6: cost 252 inf + 44 372.238 * * [simplify]: Extracting #7: cost 266 inf + 2857 372.242 * * [simplify]: Extracting #8: cost 166 inf + 25777 372.254 * * [simplify]: Extracting #9: cost 48 inf + 69625 372.272 * * [simplify]: Extracting #10: cost 12 inf + 87228 372.309 * * [simplify]: Extracting #11: cost 4 inf + 93107 372.341 * * [simplify]: Extracting #12: cost 1 inf + 97462 372.359 * * [simplify]: Extracting #13: cost 0 inf + 99167 372.389 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 372.389 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 372.390 * * * * [progress]: [ 1048 / 4754 ] simplifiying candidate # 372.391 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 372.391 * * [simplify]: iters left: 6 (43 enodes) 372.414 * * [simplify]: iters left: 5 (206 enodes) 372.468 * * [simplify]: Extracting #0: cost 1 inf + 0 372.468 * * [simplify]: Extracting #1: cost 4 inf + 0 372.468 * * [simplify]: Extracting #2: cost 7 inf + 0 372.468 * * [simplify]: Extracting #3: cost 14 inf + 0 372.468 * * [simplify]: Extracting #4: cost 86 inf + 0 372.469 * * [simplify]: Extracting #5: cost 189 inf + 42 372.469 * * [simplify]: Extracting #6: cost 219 inf + 946 372.472 * * [simplify]: Extracting #7: cost 140 inf + 17866 372.478 * * [simplify]: Extracting #8: cost 84 inf + 34832 372.489 * * [simplify]: Extracting #9: cost 12 inf + 67620 372.504 * * [simplify]: Extracting #10: cost 0 inf + 75343 372.518 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 372.518 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 372.518 * * * * [progress]: [ 1049 / 4754 ] simplifiying candidate # 372.519 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 372.519 * * [simplify]: iters left: 6 (45 enodes) 372.531 * * [simplify]: iters left: 5 (227 enodes) 372.617 * * [simplify]: Extracting #0: cost 1 inf + 0 372.617 * * [simplify]: Extracting #1: cost 3 inf + 0 372.617 * * [simplify]: Extracting #2: cost 6 inf + 0 372.617 * * [simplify]: Extracting #3: cost 10 inf + 0 372.617 * * [simplify]: Extracting #4: cost 24 inf + 0 372.618 * * [simplify]: Extracting #5: cost 135 inf + 0 372.619 * * [simplify]: Extracting #6: cost 257 inf + 44 372.621 * * [simplify]: Extracting #7: cost 271 inf + 2818 372.631 * * [simplify]: Extracting #8: cost 137 inf + 37140 372.657 * * [simplify]: Extracting #9: cost 40 inf + 78778 372.684 * * [simplify]: Extracting #10: cost 4 inf + 99242 372.703 * * [simplify]: Extracting #11: cost 0 inf + 100783 372.724 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 372.724 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 372.724 * * * * [progress]: [ 1050 / 4754 ] simplifiying candidate # 372.725 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 372.725 * * [simplify]: iters left: 6 (47 enodes) 372.738 * * [simplify]: iters left: 5 (239 enodes) 372.807 * * [simplify]: Extracting #0: cost 1 inf + 0 372.807 * * [simplify]: Extracting #1: cost 3 inf + 0 372.807 * * [simplify]: Extracting #2: cost 6 inf + 0 372.807 * * [simplify]: Extracting #3: cost 10 inf + 0 372.807 * * [simplify]: Extracting #4: cost 24 inf + 0 372.807 * * [simplify]: Extracting #5: cost 165 inf + 0 372.808 * * [simplify]: Extracting #6: cost 291 inf + 1 372.809 * * [simplify]: Extracting #7: cost 346 inf + 702 372.814 * * [simplify]: Extracting #8: cost 225 inf + 25505 372.827 * * [simplify]: Extracting #9: cost 98 inf + 83684 372.853 * * [simplify]: Extracting #10: cost 9 inf + 133875 372.897 * * [simplify]: Extracting #11: cost 0 inf + 139817 372.950 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 372.950 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 372.951 * * * * [progress]: [ 1051 / 4754 ] simplifiying candidate # 372.952 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 372.953 * * [simplify]: iters left: 6 (48 enodes) 372.975 * * [simplify]: iters left: 5 (247 enodes) 373.053 * * [simplify]: Extracting #0: cost 1 inf + 0 373.053 * * [simplify]: Extracting #1: cost 3 inf + 0 373.053 * * [simplify]: Extracting #2: cost 6 inf + 0 373.053 * * [simplify]: Extracting #3: cost 10 inf + 0 373.053 * * [simplify]: Extracting #4: cost 24 inf + 0 373.054 * * [simplify]: Extracting #5: cost 168 inf + 0 373.055 * * [simplify]: Extracting #6: cost 311 inf + 1 373.057 * * [simplify]: Extracting #7: cost 358 inf + 1150 373.064 * * [simplify]: Extracting #8: cost 216 inf + 37870 373.086 * * [simplify]: Extracting #9: cost 37 inf + 117319 373.118 * * [simplify]: Extracting #10: cost 1 inf + 135171 373.149 * * [simplify]: Extracting #11: cost 0 inf + 136596 373.187 * * [simplify]: Extracting #12: cost 0 inf + 136476 373.221 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 373.221 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 373.222 * * * * [progress]: [ 1052 / 4754 ] simplifiying candidate # 373.222 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 373.223 * * [simplify]: iters left: 6 (48 enodes) 373.250 * * [simplify]: iters left: 5 (247 enodes) 373.340 * * [simplify]: Extracting #0: cost 1 inf + 0 373.340 * * [simplify]: Extracting #1: cost 3 inf + 0 373.340 * * [simplify]: Extracting #2: cost 6 inf + 0 373.340 * * [simplify]: Extracting #3: cost 10 inf + 0 373.340 * * [simplify]: Extracting #4: cost 24 inf + 0 373.341 * * [simplify]: Extracting #5: cost 168 inf + 0 373.342 * * [simplify]: Extracting #6: cost 322 inf + 1 373.344 * * [simplify]: Extracting #7: cost 366 inf + 1105 373.358 * * [simplify]: Extracting #8: cost 227 inf + 34863 373.385 * * [simplify]: Extracting #9: cost 62 inf + 105597 373.408 * * [simplify]: Extracting #10: cost 8 inf + 130616 373.433 * * [simplify]: Extracting #11: cost 2 inf + 135927 373.477 * * [simplify]: Extracting #12: cost 0 inf + 139297 373.508 * * [simplify]: Extracting #13: cost 0 inf + 139137 373.534 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 373.534 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 373.535 * * * * [progress]: [ 1053 / 4754 ] simplifiying candidate # 373.535 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 373.536 * * [simplify]: iters left: 6 (48 enodes) 373.563 * * [simplify]: iters left: 5 (245 enodes) 373.680 * * [simplify]: Extracting #0: cost 1 inf + 0 373.680 * * [simplify]: Extracting #1: cost 3 inf + 0 373.680 * * [simplify]: Extracting #2: cost 6 inf + 0 373.680 * * [simplify]: Extracting #3: cost 10 inf + 0 373.680 * * [simplify]: Extracting #4: cost 24 inf + 0 373.681 * * [simplify]: Extracting #5: cost 164 inf + 0 373.682 * * [simplify]: Extracting #6: cost 298 inf + 44 373.685 * * [simplify]: Extracting #7: cost 323 inf + 2290 373.694 * * [simplify]: Extracting #8: cost 202 inf + 32909 373.729 * * [simplify]: Extracting #9: cost 55 inf + 97043 373.752 * * [simplify]: Extracting #10: cost 8 inf + 121160 373.788 * * [simplify]: Extracting #11: cost 0 inf + 124851 373.832 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda2 lambda1) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 373.832 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda2 lambda1) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 373.833 * * * * [progress]: [ 1054 / 4754 ] simplifiying candidate # 373.834 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 373.835 * * [simplify]: iters left: 6 (45 enodes) 373.851 * * [simplify]: iters left: 5 (230 enodes) 373.927 * * [simplify]: Extracting #0: cost 1 inf + 0 373.928 * * [simplify]: Extracting #1: cost 4 inf + 0 373.928 * * [simplify]: Extracting #2: cost 7 inf + 0 373.928 * * [simplify]: Extracting #3: cost 14 inf + 0 373.928 * * [simplify]: Extracting #4: cost 99 inf + 0 373.929 * * [simplify]: Extracting #5: cost 208 inf + 1 373.930 * * [simplify]: Extracting #6: cost 244 inf + 823 373.933 * * [simplify]: Extracting #7: cost 147 inf + 19022 373.942 * * [simplify]: Extracting #8: cost 46 inf + 61698 373.959 * * [simplify]: Extracting #9: cost 7 inf + 79548 373.982 * * [simplify]: Extracting #10: cost 0 inf + 84522 374.011 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 374.011 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 374.012 * * * * [progress]: [ 1055 / 4754 ] simplifiying candidate # 374.013 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 374.013 * * [simplify]: iters left: 6 (47 enodes) 374.039 * * [simplify]: iters left: 5 (241 enodes) 374.130 * * [simplify]: Extracting #0: cost 1 inf + 0 374.130 * * [simplify]: Extracting #1: cost 3 inf + 0 374.130 * * [simplify]: Extracting #2: cost 6 inf + 0 374.130 * * [simplify]: Extracting #3: cost 10 inf + 0 374.130 * * [simplify]: Extracting #4: cost 28 inf + 0 374.131 * * [simplify]: Extracting #5: cost 182 inf + 0 374.131 * * [simplify]: Extracting #6: cost 304 inf + 44 374.133 * * [simplify]: Extracting #7: cost 326 inf + 2535 374.141 * * [simplify]: Extracting #8: cost 212 inf + 27431 374.158 * * [simplify]: Extracting #9: cost 139 inf + 50105 374.188 * * [simplify]: Extracting #10: cost 44 inf + 93976 374.221 * * [simplify]: Extracting #11: cost 2 inf + 120796 374.244 * * [simplify]: Extracting #12: cost 0 inf + 124126 374.285 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))))) 374.285 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 374.286 * * * * [progress]: [ 1056 / 4754 ] simplifiying candidate # 374.287 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 374.287 * * [simplify]: iters left: 6 (46 enodes) 374.311 * * [simplify]: iters left: 5 (232 enodes) 374.366 * * [simplify]: Extracting #0: cost 1 inf + 0 374.366 * * [simplify]: Extracting #1: cost 3 inf + 0 374.366 * * [simplify]: Extracting #2: cost 5 inf + 0 374.366 * * [simplify]: Extracting #3: cost 7 inf + 0 374.366 * * [simplify]: Extracting #4: cost 14 inf + 0 374.367 * * [simplify]: Extracting #5: cost 104 inf + 0 374.367 * * [simplify]: Extracting #6: cost 218 inf + 1 374.369 * * [simplify]: Extracting #7: cost 250 inf + 1473 374.379 * * [simplify]: Extracting #8: cost 127 inf + 33530 374.393 * * [simplify]: Extracting #9: cost 26 inf + 78709 374.411 * * [simplify]: Extracting #10: cost 4 inf + 87870 374.427 * * [simplify]: Extracting #11: cost 0 inf + 88638 374.443 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 374.443 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 374.444 * * * * [progress]: [ 1057 / 4754 ] simplifiying candidate # 374.444 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 374.445 * * [simplify]: iters left: 6 (47 enodes) 374.457 * * [simplify]: iters left: 5 (241 enodes) 374.537 * * [simplify]: Extracting #0: cost 1 inf + 0 374.537 * * [simplify]: Extracting #1: cost 3 inf + 0 374.537 * * [simplify]: Extracting #2: cost 6 inf + 0 374.537 * * [simplify]: Extracting #3: cost 10 inf + 0 374.537 * * [simplify]: Extracting #4: cost 28 inf + 0 374.538 * * [simplify]: Extracting #5: cost 181 inf + 0 374.539 * * [simplify]: Extracting #6: cost 306 inf + 44 374.542 * * [simplify]: Extracting #7: cost 328 inf + 2776 374.552 * * [simplify]: Extracting #8: cost 190 inf + 35582 374.576 * * [simplify]: Extracting #9: cost 68 inf + 90963 374.601 * * [simplify]: Extracting #10: cost 1 inf + 125322 374.641 * * [simplify]: Extracting #11: cost 0 inf + 125174 374.681 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))))) 374.682 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 374.683 * * * * [progress]: [ 1058 / 4754 ] simplifiying candidate # 374.683 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 374.684 * * [simplify]: iters left: 6 (47 enodes) 374.711 * * [simplify]: iters left: 5 (246 enodes) 374.797 * * [simplify]: Extracting #0: cost 1 inf + 0 374.797 * * [simplify]: Extracting #1: cost 3 inf + 0 374.797 * * [simplify]: Extracting #2: cost 6 inf + 0 374.797 * * [simplify]: Extracting #3: cost 10 inf + 0 374.797 * * [simplify]: Extracting #4: cost 20 inf + 0 374.797 * * [simplify]: Extracting #5: cost 135 inf + 0 374.799 * * [simplify]: Extracting #6: cost 291 inf + 1 374.801 * * [simplify]: Extracting #7: cost 337 inf + 1268 374.811 * * [simplify]: Extracting #8: cost 201 inf + 34984 374.841 * * [simplify]: Extracting #9: cost 64 inf + 83438 374.872 * * [simplify]: Extracting #10: cost 10 inf + 109014 374.893 * * [simplify]: Extracting #11: cost 0 inf + 116970 374.914 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 374.914 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 374.915 * * * * [progress]: [ 1059 / 4754 ] simplifiying candidate # 374.915 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 374.916 * * [simplify]: iters left: 6 (48 enodes) 374.929 * * [simplify]: iters left: 5 (251 enodes) 374.991 * * [simplify]: Extracting #0: cost 1 inf + 0 374.991 * * [simplify]: Extracting #1: cost 3 inf + 0 374.991 * * [simplify]: Extracting #2: cost 6 inf + 0 374.991 * * [simplify]: Extracting #3: cost 10 inf + 0 374.991 * * [simplify]: Extracting #4: cost 20 inf + 0 374.992 * * [simplify]: Extracting #5: cost 133 inf + 0 374.992 * * [simplify]: Extracting #6: cost 302 inf + 1 374.993 * * [simplify]: Extracting #7: cost 342 inf + 1395 374.997 * * [simplify]: Extracting #8: cost 241 inf + 16964 375.008 * * [simplify]: Extracting #9: cost 122 inf + 57232 375.045 * * [simplify]: Extracting #10: cost 17 inf + 105262 375.087 * * [simplify]: Extracting #11: cost 1 inf + 117130 375.129 * * [simplify]: Extracting #12: cost 0 inf + 118875 375.153 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 375.153 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 375.153 * * * * [progress]: [ 1060 / 4754 ] simplifiying candidate # 375.154 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 375.154 * * [simplify]: iters left: 6 (48 enodes) 375.171 * * [simplify]: iters left: 5 (251 enodes) 375.277 * * [simplify]: Extracting #0: cost 1 inf + 0 375.277 * * [simplify]: Extracting #1: cost 3 inf + 0 375.277 * * [simplify]: Extracting #2: cost 6 inf + 0 375.277 * * [simplify]: Extracting #3: cost 10 inf + 0 375.277 * * [simplify]: Extracting #4: cost 20 inf + 0 375.277 * * [simplify]: Extracting #5: cost 136 inf + 0 375.278 * * [simplify]: Extracting #6: cost 304 inf + 1 375.279 * * [simplify]: Extracting #7: cost 337 inf + 1397 375.283 * * [simplify]: Extracting #8: cost 233 inf + 18341 375.291 * * [simplify]: Extracting #9: cost 122 inf + 53975 375.309 * * [simplify]: Extracting #10: cost 13 inf + 102558 375.338 * * [simplify]: Extracting #11: cost 2 inf + 111301 375.381 * * [simplify]: Extracting #12: cost 0 inf + 114671 375.421 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 375.421 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 375.422 * * * * [progress]: [ 1061 / 4754 ] simplifiying candidate # 375.423 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 375.424 * * [simplify]: iters left: 6 (48 enodes) 375.452 * * [simplify]: iters left: 5 (253 enodes) 375.573 * * [simplify]: Extracting #0: cost 1 inf + 0 375.573 * * [simplify]: Extracting #1: cost 3 inf + 0 375.573 * * [simplify]: Extracting #2: cost 6 inf + 0 375.573 * * [simplify]: Extracting #3: cost 10 inf + 0 375.573 * * [simplify]: Extracting #4: cost 20 inf + 0 375.574 * * [simplify]: Extracting #5: cost 138 inf + 0 375.574 * * [simplify]: Extracting #6: cost 297 inf + 44 375.576 * * [simplify]: Extracting #7: cost 316 inf + 2291 375.579 * * [simplify]: Extracting #8: cost 221 inf + 17682 375.587 * * [simplify]: Extracting #9: cost 123 inf + 48107 375.603 * * [simplify]: Extracting #10: cost 26 inf + 90846 375.638 * * [simplify]: Extracting #11: cost 2 inf + 103388 375.664 * * [simplify]: Extracting #12: cost 0 inf + 106678 375.691 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 375.691 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 375.692 * * * * [progress]: [ 1062 / 4754 ] simplifiying candidate # 375.693 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 375.693 * * [simplify]: iters left: 6 (45 enodes) 375.705 * * [simplify]: iters left: 5 (233 enodes) 375.762 * * [simplify]: Extracting #0: cost 1 inf + 0 375.762 * * [simplify]: Extracting #1: cost 3 inf + 0 375.762 * * [simplify]: Extracting #2: cost 6 inf + 0 375.762 * * [simplify]: Extracting #3: cost 10 inf + 0 375.762 * * [simplify]: Extracting #4: cost 24 inf + 0 375.762 * * [simplify]: Extracting #5: cost 136 inf + 0 375.763 * * [simplify]: Extracting #6: cost 259 inf + 1 375.765 * * [simplify]: Extracting #7: cost 287 inf + 1269 375.771 * * [simplify]: Extracting #8: cost 192 inf + 17417 375.783 * * [simplify]: Extracting #9: cost 121 inf + 38327 375.805 * * [simplify]: Extracting #10: cost 33 inf + 77600 375.822 * * [simplify]: Extracting #11: cost 2 inf + 97813 375.854 * * [simplify]: Extracting #12: cost 0 inf + 100863 375.873 * * [simplify]: Extracting #13: cost 0 inf + 100623 375.903 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 375.903 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 375.905 * * * * [progress]: [ 1063 / 4754 ] simplifiying candidate # 375.906 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 375.907 * * [simplify]: iters left: 6 (47 enodes) 375.934 * * [simplify]: iters left: 5 (245 enodes) 376.023 * * [simplify]: Extracting #0: cost 1 inf + 0 376.023 * * [simplify]: Extracting #1: cost 3 inf + 0 376.023 * * [simplify]: Extracting #2: cost 6 inf + 0 376.023 * * [simplify]: Extracting #3: cost 10 inf + 0 376.023 * * [simplify]: Extracting #4: cost 24 inf + 0 376.024 * * [simplify]: Extracting #5: cost 144 inf + 0 376.025 * * [simplify]: Extracting #6: cost 284 inf + 44 376.028 * * [simplify]: Extracting #7: cost 295 inf + 3424 376.038 * * [simplify]: Extracting #8: cost 173 inf + 32291 376.067 * * [simplify]: Extracting #9: cost 34 inf + 84573 376.092 * * [simplify]: Extracting #10: cost 6 inf + 97918 376.117 * * [simplify]: Extracting #11: cost 0 inf + 101105 376.137 * * [simplify]: Extracting #12: cost 0 inf + 101065 376.170 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) 376.170 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 376.171 * * * * [progress]: [ 1064 / 4754 ] simplifiying candidate # 376.171 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 376.172 * * [simplify]: iters left: 6 (46 enodes) 376.196 * * [simplify]: iters left: 5 (236 enodes) 376.267 * * [simplify]: Extracting #0: cost 1 inf + 0 376.267 * * [simplify]: Extracting #1: cost 3 inf + 0 376.267 * * [simplify]: Extracting #2: cost 6 inf + 0 376.267 * * [simplify]: Extracting #3: cost 10 inf + 0 376.267 * * [simplify]: Extracting #4: cost 24 inf + 0 376.267 * * [simplify]: Extracting #5: cost 135 inf + 0 376.268 * * [simplify]: Extracting #6: cost 258 inf + 1 376.269 * * [simplify]: Extracting #7: cost 292 inf + 538 376.272 * * [simplify]: Extracting #8: cost 196 inf + 18150 376.287 * * [simplify]: Extracting #9: cost 44 inf + 77307 376.305 * * [simplify]: Extracting #10: cost 7 inf + 97007 376.327 * * [simplify]: Extracting #11: cost 0 inf + 100979 376.364 * * [simplify]: Extracting #12: cost 0 inf + 100859 376.401 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 376.401 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 376.402 * * * * [progress]: [ 1065 / 4754 ] simplifiying candidate # 376.403 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 376.403 * * [simplify]: iters left: 6 (47 enodes) 376.433 * * [simplify]: iters left: 5 (245 enodes) 376.506 * * [simplify]: Extracting #0: cost 1 inf + 0 376.506 * * [simplify]: Extracting #1: cost 3 inf + 0 376.506 * * [simplify]: Extracting #2: cost 6 inf + 0 376.506 * * [simplify]: Extracting #3: cost 10 inf + 0 376.506 * * [simplify]: Extracting #4: cost 24 inf + 0 376.507 * * [simplify]: Extracting #5: cost 143 inf + 0 376.508 * * [simplify]: Extracting #6: cost 284 inf + 44 376.510 * * [simplify]: Extracting #7: cost 295 inf + 3424 376.524 * * [simplify]: Extracting #8: cost 173 inf + 32534 376.548 * * [simplify]: Extracting #9: cost 34 inf + 84813 376.566 * * [simplify]: Extracting #10: cost 7 inf + 97946 376.597 * * [simplify]: Extracting #11: cost 0 inf + 101345 376.632 * * [simplify]: Extracting #12: cost 0 inf + 101305 376.668 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))))))))) 376.668 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 376.669 * * * * [progress]: [ 1066 / 4754 ] simplifiying candidate # 376.670 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 376.671 * * [simplify]: iters left: 6 (48 enodes) 376.696 * * [simplify]: iters left: 5 (239 enodes) 376.776 * * [simplify]: Extracting #0: cost 1 inf + 0 376.776 * * [simplify]: Extracting #1: cost 3 inf + 0 376.776 * * [simplify]: Extracting #2: cost 6 inf + 0 376.776 * * [simplify]: Extracting #3: cost 10 inf + 0 376.776 * * [simplify]: Extracting #4: cost 20 inf + 0 376.776 * * [simplify]: Extracting #5: cost 132 inf + 0 376.777 * * [simplify]: Extracting #6: cost 278 inf + 1 376.778 * * [simplify]: Extracting #7: cost 327 inf + 948 376.781 * * [simplify]: Extracting #8: cost 233 inf + 17274 376.788 * * [simplify]: Extracting #9: cost 140 inf + 46319 376.804 * * [simplify]: Extracting #10: cost 37 inf + 95279 376.832 * * [simplify]: Extracting #11: cost 4 inf + 116472 376.859 * * [simplify]: Extracting #12: cost 2 inf + 119842 376.908 * * [simplify]: Extracting #13: cost 0 inf + 123212 376.952 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 376.952 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 376.954 * * * * [progress]: [ 1067 / 4754 ] simplifiying candidate # 376.954 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 376.955 * * [simplify]: iters left: 6 (49 enodes) 376.981 * * [simplify]: iters left: 5 (247 enodes) 377.067 * * [simplify]: Extracting #0: cost 1 inf + 0 377.067 * * [simplify]: Extracting #1: cost 3 inf + 0 377.067 * * [simplify]: Extracting #2: cost 6 inf + 0 377.067 * * [simplify]: Extracting #3: cost 10 inf + 0 377.067 * * [simplify]: Extracting #4: cost 20 inf + 0 377.067 * * [simplify]: Extracting #5: cost 135 inf + 0 377.068 * * [simplify]: Extracting #6: cost 297 inf + 1 377.069 * * [simplify]: Extracting #7: cost 341 inf + 1151 377.072 * * [simplify]: Extracting #8: cost 231 inf + 19270 377.082 * * [simplify]: Extracting #9: cost 116 inf + 61780 377.112 * * [simplify]: Extracting #10: cost 22 inf + 104958 377.150 * * [simplify]: Extracting #11: cost 1 inf + 122682 377.172 * * [simplify]: Extracting #12: cost 0 inf + 124427 377.196 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 377.196 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 377.197 * * * * [progress]: [ 1068 / 4754 ] simplifiying candidate # 377.197 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 377.197 * * [simplify]: iters left: 6 (49 enodes) 377.210 * * [simplify]: iters left: 5 (247 enodes) 377.317 * * [simplify]: Extracting #0: cost 1 inf + 0 377.317 * * [simplify]: Extracting #1: cost 3 inf + 0 377.317 * * [simplify]: Extracting #2: cost 6 inf + 0 377.317 * * [simplify]: Extracting #3: cost 10 inf + 0 377.317 * * [simplify]: Extracting #4: cost 20 inf + 0 377.318 * * [simplify]: Extracting #5: cost 138 inf + 0 377.319 * * [simplify]: Extracting #6: cost 298 inf + 1 377.322 * * [simplify]: Extracting #7: cost 339 inf + 987 377.328 * * [simplify]: Extracting #8: cost 236 inf + 17730 377.348 * * [simplify]: Extracting #9: cost 115 inf + 64177 377.382 * * [simplify]: Extracting #10: cost 9 inf + 116025 377.404 * * [simplify]: Extracting #11: cost 0 inf + 122038 377.428 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 377.428 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 377.429 * * * * [progress]: [ 1069 / 4754 ] simplifiying candidate # 377.429 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 377.429 * * [simplify]: iters left: 6 (49 enodes) 377.442 * * [simplify]: iters left: 5 (245 enodes) 377.501 * * [simplify]: Extracting #0: cost 1 inf + 0 377.501 * * [simplify]: Extracting #1: cost 3 inf + 0 377.501 * * [simplify]: Extracting #2: cost 6 inf + 0 377.501 * * [simplify]: Extracting #3: cost 10 inf + 0 377.501 * * [simplify]: Extracting #4: cost 22 inf + 0 377.502 * * [simplify]: Extracting #5: cost 137 inf + 0 377.503 * * [simplify]: Extracting #6: cost 278 inf + 44 377.505 * * [simplify]: Extracting #7: cost 294 inf + 3306 377.515 * * [simplify]: Extracting #8: cost 172 inf + 33999 377.545 * * [simplify]: Extracting #9: cost 53 inf + 81389 377.569 * * [simplify]: Extracting #10: cost 16 inf + 101332 377.591 * * [simplify]: Extracting #11: cost 0 inf + 111593 377.630 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 377.630 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 377.631 * * * * [progress]: [ 1070 / 4754 ] simplifiying candidate # 377.632 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 377.632 * * [simplify]: iters left: 6 (46 enodes) 377.656 * * [simplify]: iters left: 5 (231 enodes) 377.723 * * [simplify]: Extracting #0: cost 1 inf + 0 377.723 * * [simplify]: Extracting #1: cost 3 inf + 0 377.723 * * [simplify]: Extracting #2: cost 6 inf + 0 377.723 * * [simplify]: Extracting #3: cost 10 inf + 0 377.724 * * [simplify]: Extracting #4: cost 24 inf + 0 377.724 * * [simplify]: Extracting #5: cost 138 inf + 0 377.725 * * [simplify]: Extracting #6: cost 260 inf + 1 377.727 * * [simplify]: Extracting #7: cost 290 inf + 1151 377.732 * * [simplify]: Extracting #8: cost 221 inf + 11989 377.744 * * [simplify]: Extracting #9: cost 133 inf + 39520 377.771 * * [simplify]: Extracting #10: cost 32 inf + 85895 377.811 * * [simplify]: Extracting #11: cost 6 inf + 101199 377.835 * * [simplify]: Extracting #12: cost 1 inf + 108564 377.863 * * [simplify]: Extracting #13: cost 0 inf + 110229 377.884 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) 377.884 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 377.886 * * * * [progress]: [ 1071 / 4754 ] simplifiying candidate # 377.887 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 377.887 * * [simplify]: iters left: 6 (48 enodes) 377.915 * * [simplify]: iters left: 5 (241 enodes) 377.990 * * [simplify]: Extracting #0: cost 1 inf + 0 377.990 * * [simplify]: Extracting #1: cost 3 inf + 0 377.990 * * [simplify]: Extracting #2: cost 6 inf + 0 377.990 * * [simplify]: Extracting #3: cost 10 inf + 0 377.990 * * [simplify]: Extracting #4: cost 24 inf + 0 377.991 * * [simplify]: Extracting #5: cost 146 inf + 0 377.992 * * [simplify]: Extracting #6: cost 276 inf + 85 377.994 * * [simplify]: Extracting #7: cost 294 inf + 2459 378.006 * * [simplify]: Extracting #8: cost 166 inf + 31622 378.028 * * [simplify]: Extracting #9: cost 51 inf + 77573 378.059 * * [simplify]: Extracting #10: cost 5 inf + 101244 378.093 * * [simplify]: Extracting #11: cost 0 inf + 106114 378.128 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 378.129 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 378.130 * * * * [progress]: [ 1072 / 4754 ] simplifiying candidate # 378.130 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 378.131 * * [simplify]: iters left: 6 (47 enodes) 378.157 * * [simplify]: iters left: 5 (233 enodes) 378.263 * * [simplify]: Extracting #0: cost 1 inf + 0 378.264 * * [simplify]: Extracting #1: cost 3 inf + 0 378.264 * * [simplify]: Extracting #2: cost 6 inf + 0 378.264 * * [simplify]: Extracting #3: cost 10 inf + 0 378.264 * * [simplify]: Extracting #4: cost 24 inf + 0 378.264 * * [simplify]: Extracting #5: cost 138 inf + 0 378.265 * * [simplify]: Extracting #6: cost 260 inf + 1 378.267 * * [simplify]: Extracting #7: cost 292 inf + 986 378.276 * * [simplify]: Extracting #8: cost 174 inf + 29664 378.309 * * [simplify]: Extracting #9: cost 39 inf + 88989 378.327 * * [simplify]: Extracting #10: cost 4 inf + 105502 378.354 * * [simplify]: Extracting #11: cost 1 inf + 109084 378.387 * * [simplify]: Extracting #12: cost 0 inf + 110789 378.410 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 378.410 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 378.411 * * * * [progress]: [ 1073 / 4754 ] simplifiying candidate # 378.411 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 378.412 * * [simplify]: iters left: 6 (48 enodes) 378.434 * * [simplify]: iters left: 5 (241 enodes) 378.542 * * [simplify]: Extracting #0: cost 1 inf + 0 378.542 * * [simplify]: Extracting #1: cost 3 inf + 0 378.542 * * [simplify]: Extracting #2: cost 6 inf + 0 378.543 * * [simplify]: Extracting #3: cost 10 inf + 0 378.543 * * [simplify]: Extracting #4: cost 24 inf + 0 378.543 * * [simplify]: Extracting #5: cost 145 inf + 0 378.548 * * [simplify]: Extracting #6: cost 276 inf + 85 378.550 * * [simplify]: Extracting #7: cost 294 inf + 2459 378.560 * * [simplify]: Extracting #8: cost 165 inf + 32388 378.586 * * [simplify]: Extracting #9: cost 50 inf + 78078 378.621 * * [simplify]: Extracting #10: cost 5 inf + 101484 378.646 * * [simplify]: Extracting #11: cost 0 inf + 106354 378.671 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 378.671 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 378.672 * * * * [progress]: [ 1074 / 4754 ] simplifiying candidate # 378.673 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 378.673 * * [simplify]: iters left: 6 (48 enodes) 378.700 * * [simplify]: iters left: 5 (238 enodes) 378.782 * * [simplify]: Extracting #0: cost 1 inf + 0 378.782 * * [simplify]: Extracting #1: cost 3 inf + 0 378.782 * * [simplify]: Extracting #2: cost 6 inf + 0 378.782 * * [simplify]: Extracting #3: cost 10 inf + 0 378.782 * * [simplify]: Extracting #4: cost 20 inf + 0 378.783 * * [simplify]: Extracting #5: cost 127 inf + 0 378.784 * * [simplify]: Extracting #6: cost 273 inf + 1 378.786 * * [simplify]: Extracting #7: cost 323 inf + 745 378.796 * * [simplify]: Extracting #8: cost 214 inf + 21381 378.820 * * [simplify]: Extracting #9: cost 73 inf + 76124 378.850 * * [simplify]: Extracting #10: cost 2 inf + 115315 378.871 * * [simplify]: Extracting #11: cost 0 inf + 115990 378.908 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 378.909 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 378.909 * * * * [progress]: [ 1075 / 4754 ] simplifiying candidate # 378.909 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 378.910 * * [simplify]: iters left: 6 (49 enodes) 378.924 * * [simplify]: iters left: 5 (246 enodes) 379.005 * * [simplify]: Extracting #0: cost 1 inf + 0 379.005 * * [simplify]: Extracting #1: cost 3 inf + 0 379.005 * * [simplify]: Extracting #2: cost 6 inf + 0 379.006 * * [simplify]: Extracting #3: cost 10 inf + 0 379.006 * * [simplify]: Extracting #4: cost 20 inf + 0 379.006 * * [simplify]: Extracting #5: cost 130 inf + 0 379.006 * * [simplify]: Extracting #6: cost 292 inf + 1 379.008 * * [simplify]: Extracting #7: cost 337 inf + 1070 379.015 * * [simplify]: Extracting #8: cost 184 inf + 34031 379.029 * * [simplify]: Extracting #9: cost 66 inf + 82515 379.067 * * [simplify]: Extracting #10: cost 9 inf + 108659 379.109 * * [simplify]: Extracting #11: cost 0 inf + 115005 379.138 * * [simplify]: Extracting #12: cost 0 inf + 114805 379.164 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 379.164 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 379.166 * * * * [progress]: [ 1076 / 4754 ] simplifiying candidate # 379.166 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 379.167 * * [simplify]: iters left: 6 (49 enodes) 379.193 * * [simplify]: iters left: 5 (246 enodes) 379.286 * * [simplify]: Extracting #0: cost 1 inf + 0 379.286 * * [simplify]: Extracting #1: cost 3 inf + 0 379.286 * * [simplify]: Extracting #2: cost 6 inf + 0 379.286 * * [simplify]: Extracting #3: cost 10 inf + 0 379.287 * * [simplify]: Extracting #4: cost 20 inf + 0 379.287 * * [simplify]: Extracting #5: cost 133 inf + 0 379.287 * * [simplify]: Extracting #6: cost 294 inf + 1 379.288 * * [simplify]: Extracting #7: cost 330 inf + 1556 379.292 * * [simplify]: Extracting #8: cost 229 inf + 18180 379.305 * * [simplify]: Extracting #9: cost 146 inf + 40324 379.324 * * [simplify]: Extracting #10: cost 51 inf + 80152 379.342 * * [simplify]: Extracting #11: cost 4 inf + 109541 379.366 * * [simplify]: Extracting #12: cost 0 inf + 113081 379.403 * * [simplify]: Extracting #13: cost 0 inf + 113001 379.434 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 379.434 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 379.435 * * * * [progress]: [ 1077 / 4754 ] simplifiying candidate # 379.435 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 379.436 * * [simplify]: iters left: 6 (49 enodes) 379.450 * * [simplify]: iters left: 5 (244 enodes) 379.534 * * [simplify]: Extracting #0: cost 1 inf + 0 379.534 * * [simplify]: Extracting #1: cost 3 inf + 0 379.534 * * [simplify]: Extracting #2: cost 6 inf + 0 379.534 * * [simplify]: Extracting #3: cost 10 inf + 0 379.534 * * [simplify]: Extracting #4: cost 22 inf + 0 379.534 * * [simplify]: Extracting #5: cost 132 inf + 0 379.535 * * [simplify]: Extracting #6: cost 275 inf + 44 379.536 * * [simplify]: Extracting #7: cost 295 inf + 2417 379.543 * * [simplify]: Extracting #8: cost 192 inf + 21652 379.566 * * [simplify]: Extracting #9: cost 56 inf + 70676 379.600 * * [simplify]: Extracting #10: cost 7 inf + 100464 379.642 * * [simplify]: Extracting #11: cost 0 inf + 106640 379.662 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 379.662 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 379.663 * * * * [progress]: [ 1078 / 4754 ] simplifiying candidate # 379.663 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 379.663 * * [simplify]: iters left: 6 (46 enodes) 379.683 * * [simplify]: iters left: 5 (228 enodes) 379.773 * * [simplify]: Extracting #0: cost 1 inf + 0 379.773 * * [simplify]: Extracting #1: cost 3 inf + 0 379.773 * * [simplify]: Extracting #2: cost 6 inf + 0 379.773 * * [simplify]: Extracting #3: cost 10 inf + 0 379.773 * * [simplify]: Extracting #4: cost 24 inf + 0 379.773 * * [simplify]: Extracting #5: cost 131 inf + 0 379.774 * * [simplify]: Extracting #6: cost 247 inf + 1 379.775 * * [simplify]: Extracting #7: cost 276 inf + 1271 379.779 * * [simplify]: Extracting #8: cost 154 inf + 29332 379.794 * * [simplify]: Extracting #9: cost 47 inf + 73422 379.827 * * [simplify]: Extracting #10: cost 9 inf + 92548 379.858 * * [simplify]: Extracting #11: cost 0 inf + 98188 379.877 * * [simplify]: Extracting #12: cost 0 inf + 97788 379.895 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 379.895 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 379.896 * * * * [progress]: [ 1079 / 4754 ] simplifiying candidate # 379.896 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 379.896 * * [simplify]: iters left: 6 (48 enodes) 379.909 * * [simplify]: iters left: 5 (240 enodes) 379.965 * * [simplify]: Extracting #0: cost 1 inf + 0 379.965 * * [simplify]: Extracting #1: cost 3 inf + 0 379.965 * * [simplify]: Extracting #2: cost 6 inf + 0 379.965 * * [simplify]: Extracting #3: cost 10 inf + 0 379.965 * * [simplify]: Extracting #4: cost 24 inf + 0 379.966 * * [simplify]: Extracting #5: cost 141 inf + 0 379.966 * * [simplify]: Extracting #6: cost 274 inf + 44 379.967 * * [simplify]: Extracting #7: cost 288 inf + 3267 379.976 * * [simplify]: Extracting #8: cost 149 inf + 34654 380.002 * * [simplify]: Extracting #9: cost 34 inf + 78560 380.026 * * [simplify]: Extracting #10: cost 1 inf + 97176 380.048 * * [simplify]: Extracting #11: cost 0 inf + 98641 380.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 380.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 380.081 * * * * [progress]: [ 1080 / 4754 ] simplifiying candidate # 380.081 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 380.082 * * [simplify]: iters left: 6 (47 enodes) 380.107 * * [simplify]: iters left: 5 (231 enodes) 380.197 * * [simplify]: Extracting #0: cost 1 inf + 0 380.197 * * [simplify]: Extracting #1: cost 3 inf + 0 380.197 * * [simplify]: Extracting #2: cost 6 inf + 0 380.197 * * [simplify]: Extracting #3: cost 10 inf + 0 380.197 * * [simplify]: Extracting #4: cost 24 inf + 0 380.197 * * [simplify]: Extracting #5: cost 132 inf + 0 380.197 * * [simplify]: Extracting #6: cost 248 inf + 1 380.198 * * [simplify]: Extracting #7: cost 276 inf + 1272 380.202 * * [simplify]: Extracting #8: cost 161 inf + 27478 380.215 * * [simplify]: Extracting #9: cost 49 inf + 74381 380.246 * * [simplify]: Extracting #10: cost 12 inf + 91123 380.280 * * [simplify]: Extracting #11: cost 1 inf + 97327 380.319 * * [simplify]: Extracting #12: cost 0 inf + 98872 380.338 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 380.338 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 380.338 * * * * [progress]: [ 1081 / 4754 ] simplifiying candidate # 380.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 380.339 * * [simplify]: iters left: 6 (48 enodes) 380.351 * * [simplify]: iters left: 5 (240 enodes) 380.451 * * [simplify]: Extracting #0: cost 1 inf + 0 380.451 * * [simplify]: Extracting #1: cost 3 inf + 0 380.451 * * [simplify]: Extracting #2: cost 6 inf + 0 380.451 * * [simplify]: Extracting #3: cost 10 inf + 0 380.451 * * [simplify]: Extracting #4: cost 24 inf + 0 380.452 * * [simplify]: Extracting #5: cost 140 inf + 0 380.453 * * [simplify]: Extracting #6: cost 274 inf + 44 380.455 * * [simplify]: Extracting #7: cost 286 inf + 3754 380.465 * * [simplify]: Extracting #8: cost 150 inf + 34370 380.491 * * [simplify]: Extracting #9: cost 34 inf + 79320 380.526 * * [simplify]: Extracting #10: cost 1 inf + 97336 380.566 * * [simplify]: Extracting #11: cost 0 inf + 98881 380.595 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 380.595 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 380.596 * * * * [progress]: [ 1082 / 4754 ] simplifiying candidate # 380.596 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 380.596 * * [simplify]: iters left: 6 (48 enodes) 380.609 * * [simplify]: iters left: 5 (239 enodes) 380.701 * * [simplify]: Extracting #0: cost 1 inf + 0 380.701 * * [simplify]: Extracting #1: cost 3 inf + 0 380.701 * * [simplify]: Extracting #2: cost 6 inf + 0 380.701 * * [simplify]: Extracting #3: cost 10 inf + 0 380.701 * * [simplify]: Extracting #4: cost 20 inf + 0 380.702 * * [simplify]: Extracting #5: cost 131 inf + 0 380.702 * * [simplify]: Extracting #6: cost 276 inf + 1 380.703 * * [simplify]: Extracting #7: cost 328 inf + 784 380.706 * * [simplify]: Extracting #8: cost 235 inf + 17111 380.713 * * [simplify]: Extracting #9: cost 138 inf + 47490 380.737 * * [simplify]: Extracting #10: cost 37 inf + 94477 380.776 * * [simplify]: Extracting #11: cost 4 inf + 115672 380.820 * * [simplify]: Extracting #12: cost 2 inf + 119122 380.854 * * [simplify]: Extracting #13: cost 0 inf + 122572 380.879 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) 380.879 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 380.881 * * * * [progress]: [ 1083 / 4754 ] simplifiying candidate # 380.881 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 380.882 * * [simplify]: iters left: 6 (49 enodes) 380.907 * * [simplify]: iters left: 5 (247 enodes) 380.992 * * [simplify]: Extracting #0: cost 1 inf + 0 380.992 * * [simplify]: Extracting #1: cost 3 inf + 0 380.992 * * [simplify]: Extracting #2: cost 6 inf + 0 380.992 * * [simplify]: Extracting #3: cost 10 inf + 0 380.992 * * [simplify]: Extracting #4: cost 20 inf + 0 380.992 * * [simplify]: Extracting #5: cost 134 inf + 0 380.993 * * [simplify]: Extracting #6: cost 295 inf + 1 380.994 * * [simplify]: Extracting #7: cost 342 inf + 989 380.997 * * [simplify]: Extracting #8: cost 236 inf + 18460 381.007 * * [simplify]: Extracting #9: cost 110 inf + 64709 381.041 * * [simplify]: Extracting #10: cost 23 inf + 103706 381.063 * * [simplify]: Extracting #11: cost 1 inf + 121642 381.088 * * [simplify]: Extracting #12: cost 0 inf + 123387 381.130 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 381.130 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 381.131 * * * * [progress]: [ 1084 / 4754 ] simplifiying candidate # 381.132 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 381.132 * * [simplify]: iters left: 6 (49 enodes) 381.160 * * [simplify]: iters left: 5 (247 enodes) 381.269 * * [simplify]: Extracting #0: cost 1 inf + 0 381.269 * * [simplify]: Extracting #1: cost 3 inf + 0 381.269 * * [simplify]: Extracting #2: cost 6 inf + 0 381.269 * * [simplify]: Extracting #3: cost 10 inf + 0 381.270 * * [simplify]: Extracting #4: cost 20 inf + 0 381.270 * * [simplify]: Extracting #5: cost 137 inf + 0 381.271 * * [simplify]: Extracting #6: cost 297 inf + 1 381.273 * * [simplify]: Extracting #7: cost 340 inf + 946 381.280 * * [simplify]: Extracting #8: cost 236 inf + 17892 381.301 * * [simplify]: Extracting #9: cost 129 inf + 55517 381.337 * * [simplify]: Extracting #10: cost 22 inf + 105609 381.359 * * [simplify]: Extracting #11: cost 0 inf + 121583 381.383 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 381.383 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 381.383 * * * * [progress]: [ 1085 / 4754 ] simplifiying candidate # 381.384 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 381.384 * * [simplify]: iters left: 6 (49 enodes) 381.399 * * [simplify]: iters left: 5 (245 enodes) 381.488 * * [simplify]: Extracting #0: cost 1 inf + 0 381.488 * * [simplify]: Extracting #1: cost 3 inf + 0 381.488 * * [simplify]: Extracting #2: cost 6 inf + 0 381.488 * * [simplify]: Extracting #3: cost 10 inf + 0 381.488 * * [simplify]: Extracting #4: cost 22 inf + 0 381.488 * * [simplify]: Extracting #5: cost 136 inf + 0 381.489 * * [simplify]: Extracting #6: cost 278 inf + 44 381.491 * * [simplify]: Extracting #7: cost 300 inf + 2454 381.501 * * [simplify]: Extracting #8: cost 178 inf + 33591 381.532 * * [simplify]: Extracting #9: cost 47 inf + 85027 381.568 * * [simplify]: Extracting #10: cost 9 inf + 104983 381.607 * * [simplify]: Extracting #11: cost 0 inf + 111483 381.632 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 381.632 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 381.633 * * * * [progress]: [ 1086 / 4754 ] simplifiying candidate # 381.633 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 381.633 * * [simplify]: iters left: 6 (46 enodes) 381.648 * * [simplify]: iters left: 5 (231 enodes) 381.711 * * [simplify]: Extracting #0: cost 1 inf + 0 381.711 * * [simplify]: Extracting #1: cost 3 inf + 0 381.711 * * [simplify]: Extracting #2: cost 6 inf + 0 381.711 * * [simplify]: Extracting #3: cost 10 inf + 0 381.712 * * [simplify]: Extracting #4: cost 24 inf + 0 381.712 * * [simplify]: Extracting #5: cost 134 inf + 0 381.713 * * [simplify]: Extracting #6: cost 255 inf + 1 381.715 * * [simplify]: Extracting #7: cost 289 inf + 865 381.720 * * [simplify]: Extracting #8: cost 226 inf + 10852 381.732 * * [simplify]: Extracting #9: cost 131 inf + 37934 381.749 * * [simplify]: Extracting #10: cost 37 inf + 79932 381.770 * * [simplify]: Extracting #11: cost 3 inf + 104423 381.803 * * [simplify]: Extracting #12: cost 0 inf + 108498 381.823 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 381.823 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 381.824 * * * * [progress]: [ 1087 / 4754 ] simplifiying candidate # 381.824 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 381.824 * * [simplify]: iters left: 6 (48 enodes) 381.837 * * [simplify]: iters left: 5 (241 enodes) 381.901 * * [simplify]: Extracting #0: cost 1 inf + 0 381.901 * * [simplify]: Extracting #1: cost 3 inf + 0 381.901 * * [simplify]: Extracting #2: cost 6 inf + 0 381.901 * * [simplify]: Extracting #3: cost 10 inf + 0 381.901 * * [simplify]: Extracting #4: cost 24 inf + 0 381.901 * * [simplify]: Extracting #5: cost 145 inf + 0 381.902 * * [simplify]: Extracting #6: cost 274 inf + 85 381.903 * * [simplify]: Extracting #7: cost 294 inf + 2497 381.907 * * [simplify]: Extracting #8: cost 190 inf + 24648 381.915 * * [simplify]: Extracting #9: cost 117 inf + 48141 381.931 * * [simplify]: Extracting #10: cost 23 inf + 88409 381.954 * * [simplify]: Extracting #11: cost 1 inf + 103969 381.992 * * [simplify]: Extracting #12: cost 0 inf + 105714 382.017 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 382.018 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 382.018 * * * * [progress]: [ 1088 / 4754 ] simplifiying candidate # 382.019 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 382.019 * * [simplify]: iters left: 6 (47 enodes) 382.032 * * [simplify]: iters left: 5 (233 enodes) 382.127 * * [simplify]: Extracting #0: cost 1 inf + 0 382.127 * * [simplify]: Extracting #1: cost 3 inf + 0 382.127 * * [simplify]: Extracting #2: cost 6 inf + 0 382.127 * * [simplify]: Extracting #3: cost 10 inf + 0 382.127 * * [simplify]: Extracting #4: cost 24 inf + 0 382.128 * * [simplify]: Extracting #5: cost 134 inf + 0 382.129 * * [simplify]: Extracting #6: cost 255 inf + 1 382.130 * * [simplify]: Extracting #7: cost 289 inf + 824 382.135 * * [simplify]: Extracting #8: cost 167 inf + 32689 382.152 * * [simplify]: Extracting #9: cost 38 inf + 89602 382.182 * * [simplify]: Extracting #10: cost 10 inf + 102288 382.221 * * [simplify]: Extracting #11: cost 1 inf + 107313 382.252 * * [simplify]: Extracting #12: cost 0 inf + 108978 382.272 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 382.273 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 382.274 * * * * [progress]: [ 1089 / 4754 ] simplifiying candidate # 382.274 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 382.275 * * [simplify]: iters left: 6 (48 enodes) 382.302 * * [simplify]: iters left: 5 (241 enodes) 382.382 * * [simplify]: Extracting #0: cost 1 inf + 0 382.382 * * [simplify]: Extracting #1: cost 3 inf + 0 382.382 * * [simplify]: Extracting #2: cost 6 inf + 0 382.382 * * [simplify]: Extracting #3: cost 10 inf + 0 382.382 * * [simplify]: Extracting #4: cost 24 inf + 0 382.383 * * [simplify]: Extracting #5: cost 144 inf + 0 382.383 * * [simplify]: Extracting #6: cost 274 inf + 85 382.384 * * [simplify]: Extracting #7: cost 294 inf + 2497 382.392 * * [simplify]: Extracting #8: cost 188 inf + 25658 382.399 * * [simplify]: Extracting #9: cost 116 inf + 48846 382.422 * * [simplify]: Extracting #10: cost 23 inf + 88649 382.440 * * [simplify]: Extracting #11: cost 1 inf + 104209 382.467 * * [simplify]: Extracting #12: cost 0 inf + 105954 382.487 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 382.487 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 382.488 * * * * [progress]: [ 1090 / 4754 ] simplifiying candidate # 382.488 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 382.488 * * [simplify]: iters left: 6 (48 enodes) 382.508 * * [simplify]: iters left: 5 (239 enodes) 382.585 * * [simplify]: Extracting #0: cost 1 inf + 0 382.585 * * [simplify]: Extracting #1: cost 3 inf + 0 382.585 * * [simplify]: Extracting #2: cost 6 inf + 0 382.585 * * [simplify]: Extracting #3: cost 10 inf + 0 382.585 * * [simplify]: Extracting #4: cost 20 inf + 0 382.589 * * [simplify]: Extracting #5: cost 128 inf + 0 382.590 * * [simplify]: Extracting #6: cost 278 inf + 1 382.592 * * [simplify]: Extracting #7: cost 323 inf + 1230 382.598 * * [simplify]: Extracting #8: cost 217 inf + 20344 382.606 * * [simplify]: Extracting #9: cost 133 inf + 46933 382.622 * * [simplify]: Extracting #10: cost 44 inf + 86969 382.659 * * [simplify]: Extracting #11: cost 2 inf + 112085 382.700 * * [simplify]: Extracting #12: cost 0 inf + 114695 382.742 * * [simplify]: Extracting #13: cost 0 inf + 114095 382.764 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 382.764 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 382.765 * * * * [progress]: [ 1091 / 4754 ] simplifiying candidate # 382.765 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 382.766 * * [simplify]: iters left: 6 (49 enodes) 382.783 * * [simplify]: iters left: 5 (247 enodes) 382.860 * * [simplify]: Extracting #0: cost 1 inf + 0 382.860 * * [simplify]: Extracting #1: cost 3 inf + 0 382.860 * * [simplify]: Extracting #2: cost 6 inf + 0 382.860 * * [simplify]: Extracting #3: cost 10 inf + 0 382.860 * * [simplify]: Extracting #4: cost 20 inf + 0 382.860 * * [simplify]: Extracting #5: cost 131 inf + 0 382.861 * * [simplify]: Extracting #6: cost 297 inf + 1 382.862 * * [simplify]: Extracting #7: cost 338 inf + 1191 382.865 * * [simplify]: Extracting #8: cost 234 inf + 17700 382.875 * * [simplify]: Extracting #9: cost 112 inf + 61677 382.908 * * [simplify]: Extracting #10: cost 19 inf + 103727 382.955 * * [simplify]: Extracting #11: cost 0 inf + 115190 382.998 * * [simplify]: Extracting #12: cost 0 inf + 115070 383.030 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 383.030 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 383.031 * * * * [progress]: [ 1092 / 4754 ] simplifiying candidate # 383.031 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 383.031 * * [simplify]: iters left: 6 (49 enodes) 383.044 * * [simplify]: iters left: 5 (247 enodes) 383.156 * * [simplify]: Extracting #0: cost 1 inf + 0 383.156 * * [simplify]: Extracting #1: cost 3 inf + 0 383.156 * * [simplify]: Extracting #2: cost 6 inf + 0 383.156 * * [simplify]: Extracting #3: cost 10 inf + 0 383.156 * * [simplify]: Extracting #4: cost 20 inf + 0 383.156 * * [simplify]: Extracting #5: cost 134 inf + 0 383.158 * * [simplify]: Extracting #6: cost 299 inf + 1 383.160 * * [simplify]: Extracting #7: cost 330 inf + 1759 383.167 * * [simplify]: Extracting #8: cost 228 inf + 18941 383.182 * * [simplify]: Extracting #9: cost 139 inf + 45962 383.202 * * [simplify]: Extracting #10: cost 31 inf + 91984 383.226 * * [simplify]: Extracting #11: cost 3 inf + 109351 383.259 * * [simplify]: Extracting #12: cost 0 inf + 113066 383.280 * * [simplify]: Extracting #13: cost 0 inf + 112986 383.308 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 383.308 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 383.309 * * * * [progress]: [ 1093 / 4754 ] simplifiying candidate # 383.310 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 383.310 * * [simplify]: iters left: 6 (49 enodes) 383.338 * * [simplify]: iters left: 5 (245 enodes) 383.409 * * [simplify]: Extracting #0: cost 1 inf + 0 383.409 * * [simplify]: Extracting #1: cost 3 inf + 0 383.409 * * [simplify]: Extracting #2: cost 6 inf + 0 383.409 * * [simplify]: Extracting #3: cost 10 inf + 0 383.409 * * [simplify]: Extracting #4: cost 22 inf + 0 383.410 * * [simplify]: Extracting #5: cost 133 inf + 0 383.410 * * [simplify]: Extracting #6: cost 281 inf + 44 383.412 * * [simplify]: Extracting #7: cost 300 inf + 2173 383.418 * * [simplify]: Extracting #8: cost 189 inf + 24740 383.430 * * [simplify]: Extracting #9: cost 67 inf + 67713 383.458 * * [simplify]: Extracting #10: cost 12 inf + 94755 383.477 * * [simplify]: Extracting #11: cost 1 inf + 102945 383.500 * * [simplify]: Extracting #12: cost 0 inf + 104650 383.534 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 383.534 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 383.535 * * * * [progress]: [ 1094 / 4754 ] simplifiying candidate # 383.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 383.536 * * [simplify]: iters left: 6 (46 enodes) 383.562 * * [simplify]: iters left: 5 (230 enodes) 383.648 * * [simplify]: Extracting #0: cost 1 inf + 0 383.648 * * [simplify]: Extracting #1: cost 3 inf + 0 383.648 * * [simplify]: Extracting #2: cost 6 inf + 0 383.648 * * [simplify]: Extracting #3: cost 10 inf + 0 383.648 * * [simplify]: Extracting #4: cost 24 inf + 0 383.649 * * [simplify]: Extracting #5: cost 135 inf + 0 383.649 * * [simplify]: Extracting #6: cost 260 inf + 1 383.653 * * [simplify]: Extracting #7: cost 289 inf + 864 383.656 * * [simplify]: Extracting #8: cost 194 inf + 19341 383.663 * * [simplify]: Extracting #9: cost 130 inf + 37648 383.676 * * [simplify]: Extracting #10: cost 36 inf + 79211 383.702 * * [simplify]: Extracting #11: cost 2 inf + 100782 383.737 * * [simplify]: Extracting #12: cost 0 inf + 103312 383.756 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 383.756 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 383.757 * * * * [progress]: [ 1095 / 4754 ] simplifiying candidate # 383.757 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 383.757 * * [simplify]: iters left: 6 (48 enodes) 383.779 * * [simplify]: iters left: 5 (241 enodes) 383.857 * * [simplify]: Extracting #0: cost 1 inf + 0 383.857 * * [simplify]: Extracting #1: cost 3 inf + 0 383.857 * * [simplify]: Extracting #2: cost 6 inf + 0 383.857 * * [simplify]: Extracting #3: cost 10 inf + 0 383.857 * * [simplify]: Extracting #4: cost 24 inf + 0 383.858 * * [simplify]: Extracting #5: cost 142 inf + 0 383.859 * * [simplify]: Extracting #6: cost 278 inf + 44 383.861 * * [simplify]: Extracting #7: cost 299 inf + 1685 383.873 * * [simplify]: Extracting #8: cost 158 inf + 34661 383.887 * * [simplify]: Extracting #9: cost 50 inf + 76310 383.908 * * [simplify]: Extracting #10: cost 5 inf + 97757 383.945 * * [simplify]: Extracting #11: cost 0 inf + 100561 383.971 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 383.971 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 383.972 * * * * [progress]: [ 1096 / 4754 ] simplifiying candidate # 383.973 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 383.973 * * [simplify]: iters left: 6 (47 enodes) 384.001 * * [simplify]: iters left: 5 (233 enodes) 384.081 * * [simplify]: Extracting #0: cost 1 inf + 0 384.081 * * [simplify]: Extracting #1: cost 3 inf + 0 384.081 * * [simplify]: Extracting #2: cost 6 inf + 0 384.081 * * [simplify]: Extracting #3: cost 10 inf + 0 384.081 * * [simplify]: Extracting #4: cost 24 inf + 0 384.082 * * [simplify]: Extracting #5: cost 136 inf + 0 384.083 * * [simplify]: Extracting #6: cost 261 inf + 1 384.085 * * [simplify]: Extracting #7: cost 285 inf + 1515 384.090 * * [simplify]: Extracting #8: cost 210 inf + 13849 384.101 * * [simplify]: Extracting #9: cost 148 inf + 33663 384.132 * * [simplify]: Extracting #10: cost 31 inf + 85745 384.168 * * [simplify]: Extracting #11: cost 1 inf + 101651 384.204 * * [simplify]: Extracting #12: cost 0 inf + 102836 384.234 * * [simplify]: Extracting #13: cost 0 inf + 102756 384.255 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 384.255 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 384.255 * * * * [progress]: [ 1097 / 4754 ] simplifiying candidate # 384.256 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 384.256 * * [simplify]: iters left: 6 (48 enodes) 384.280 * * [simplify]: iters left: 5 (241 enodes) 384.359 * * [simplify]: Extracting #0: cost 1 inf + 0 384.359 * * [simplify]: Extracting #1: cost 3 inf + 0 384.359 * * [simplify]: Extracting #2: cost 6 inf + 0 384.359 * * [simplify]: Extracting #3: cost 10 inf + 0 384.359 * * [simplify]: Extracting #4: cost 24 inf + 0 384.360 * * [simplify]: Extracting #5: cost 141 inf + 0 384.360 * * [simplify]: Extracting #6: cost 278 inf + 44 384.361 * * [simplify]: Extracting #7: cost 299 inf + 1685 384.365 * * [simplify]: Extracting #8: cost 193 inf + 21985 384.372 * * [simplify]: Extracting #9: cost 116 inf + 46297 384.391 * * [simplify]: Extracting #10: cost 31 inf + 81107 384.424 * * [simplify]: Extracting #11: cost 1 inf + 99216 384.442 * * [simplify]: Extracting #12: cost 0 inf + 100961 384.471 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 384.471 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 384.472 * * * * [progress]: [ 1098 / 4754 ] simplifiying candidate # 384.472 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 384.473 * * [simplify]: iters left: 6 (47 enodes) 384.485 * * [simplify]: iters left: 5 (238 enodes) 384.566 * * [simplify]: Extracting #0: cost 1 inf + 0 384.566 * * [simplify]: Extracting #1: cost 3 inf + 0 384.566 * * [simplify]: Extracting #2: cost 6 inf + 0 384.566 * * [simplify]: Extracting #3: cost 10 inf + 0 384.566 * * [simplify]: Extracting #4: cost 20 inf + 0 384.566 * * [simplify]: Extracting #5: cost 122 inf + 0 384.567 * * [simplify]: Extracting #6: cost 263 inf + 3 384.568 * * [simplify]: Extracting #7: cost 286 inf + 2756 384.571 * * [simplify]: Extracting #8: cost 202 inf + 16774 384.577 * * [simplify]: Extracting #9: cost 115 inf + 40795 384.589 * * [simplify]: Extracting #10: cost 29 inf + 77373 384.608 * * [simplify]: Extracting #11: cost 4 inf + 90313 384.625 * * [simplify]: Extracting #12: cost 0 inf + 96042 384.649 * * [simplify]: Extracting #13: cost 0 inf + 95678 384.668 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 384.668 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 384.669 * * * * [progress]: [ 1099 / 4754 ] simplifiying candidate # 384.669 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 384.670 * * [simplify]: iters left: 6 (47 enodes) 384.691 * * [simplify]: iters left: 5 (236 enodes) 384.762 * * [simplify]: Extracting #0: cost 1 inf + 0 384.762 * * [simplify]: Extracting #1: cost 3 inf + 0 384.762 * * [simplify]: Extracting #2: cost 6 inf + 0 384.762 * * [simplify]: Extracting #3: cost 10 inf + 0 384.762 * * [simplify]: Extracting #4: cost 23 inf + 0 384.763 * * [simplify]: Extracting #5: cost 129 inf + 0 384.764 * * [simplify]: Extracting #6: cost 264 inf + 1 384.765 * * [simplify]: Extracting #7: cost 287 inf + 2253 384.773 * * [simplify]: Extracting #8: cost 166 inf + 28963 384.794 * * [simplify]: Extracting #9: cost 64 inf + 65162 384.825 * * [simplify]: Extracting #10: cost 7 inf + 89816 384.849 * * [simplify]: Extracting #11: cost 0 inf + 95043 384.867 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 384.867 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 384.868 * * * * [progress]: [ 1100 / 4754 ] simplifiying candidate # 384.868 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 384.868 * * [simplify]: iters left: 6 (48 enodes) 384.891 * * [simplify]: iters left: 5 (254 enodes) 384.978 * * [simplify]: Extracting #0: cost 1 inf + 0 384.978 * * [simplify]: Extracting #1: cost 3 inf + 0 384.978 * * [simplify]: Extracting #2: cost 6 inf + 0 384.978 * * [simplify]: Extracting #3: cost 10 inf + 0 384.978 * * [simplify]: Extracting #4: cost 20 inf + 0 384.978 * * [simplify]: Extracting #5: cost 130 inf + 0 384.980 * * [simplify]: Extracting #6: cost 297 inf + 86 384.983 * * [simplify]: Extracting #7: cost 338 inf + 4235 384.996 * * [simplify]: Extracting #8: cost 164 inf + 49699 385.032 * * [simplify]: Extracting #9: cost 24 inf + 110538 385.075 * * [simplify]: Extracting #10: cost 6 inf + 120281 385.122 * * [simplify]: Extracting #11: cost 0 inf + 124539 385.165 * * [simplify]: Extracting #12: cost 0 inf + 124379 385.187 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 385.187 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 385.188 * * * * [progress]: [ 1101 / 4754 ] simplifiying candidate # 385.188 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 385.188 * * [simplify]: iters left: 6 (48 enodes) 385.201 * * [simplify]: iters left: 5 (252 enodes) 385.262 * * [simplify]: Extracting #0: cost 1 inf + 0 385.262 * * [simplify]: Extracting #1: cost 3 inf + 0 385.262 * * [simplify]: Extracting #2: cost 6 inf + 0 385.262 * * [simplify]: Extracting #3: cost 10 inf + 0 385.262 * * [simplify]: Extracting #4: cost 20 inf + 0 385.263 * * [simplify]: Extracting #5: cost 125 inf + 0 385.263 * * [simplify]: Extracting #6: cost 291 inf + 44 385.265 * * [simplify]: Extracting #7: cost 347 inf + 1641 385.275 * * [simplify]: Extracting #8: cost 170 inf + 46357 385.302 * * [simplify]: Extracting #9: cost 32 inf + 97681 385.325 * * [simplify]: Extracting #10: cost 6 inf + 108562 385.346 * * [simplify]: Extracting #11: cost 1 inf + 115354 385.386 * * [simplify]: Extracting #12: cost 0 inf + 117219 385.427 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 385.427 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 385.428 * * * * [progress]: [ 1102 / 4754 ] simplifiying candidate # 385.429 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 385.429 * * [simplify]: iters left: 6 (48 enodes) 385.457 * * [simplify]: iters left: 5 (252 enodes) 385.564 * * [simplify]: Extracting #0: cost 1 inf + 0 385.564 * * [simplify]: Extracting #1: cost 3 inf + 0 385.564 * * [simplify]: Extracting #2: cost 6 inf + 0 385.564 * * [simplify]: Extracting #3: cost 10 inf + 0 385.564 * * [simplify]: Extracting #4: cost 20 inf + 0 385.564 * * [simplify]: Extracting #5: cost 128 inf + 0 385.565 * * [simplify]: Extracting #6: cost 289 inf + 86 385.566 * * [simplify]: Extracting #7: cost 329 inf + 3185 385.573 * * [simplify]: Extracting #8: cost 206 inf + 27708 385.588 * * [simplify]: Extracting #9: cost 60 inf + 81712 385.619 * * [simplify]: Extracting #10: cost 10 inf + 104373 385.638 * * [simplify]: Extracting #11: cost 5 inf + 107099 385.674 * * [simplify]: Extracting #12: cost 0 inf + 115064 385.708 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 385.708 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 385.709 * * * * [progress]: [ 1103 / 4754 ] simplifiying candidate # 385.709 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 385.710 * * [simplify]: iters left: 6 (42 enodes) 385.721 * * [simplify]: iters left: 5 (220 enodes) 385.817 * * [simplify]: Extracting #0: cost 1 inf + 0 385.817 * * [simplify]: Extracting #1: cost 3 inf + 0 385.817 * * [simplify]: Extracting #2: cost 6 inf + 0 385.817 * * [simplify]: Extracting #3: cost 10 inf + 0 385.817 * * [simplify]: Extracting #4: cost 20 inf + 0 385.818 * * [simplify]: Extracting #5: cost 123 inf + 0 385.819 * * [simplify]: Extracting #6: cost 263 inf + 44 385.821 * * [simplify]: Extracting #7: cost 303 inf + 992 385.828 * * [simplify]: Extracting #8: cost 186 inf + 24820 385.855 * * [simplify]: Extracting #9: cost 31 inf + 85121 385.876 * * [simplify]: Extracting #10: cost 4 inf + 95994 385.896 * * [simplify]: Extracting #11: cost 0 inf + 99841 385.933 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 385.933 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 385.934 * * * * [progress]: [ 1104 / 4754 ] simplifiying candidate # 385.935 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 385.935 * * [simplify]: iters left: 6 (47 enodes) 385.954 * * [simplify]: iters left: 5 (246 enodes) 386.015 * * [simplify]: Extracting #0: cost 1 inf + 0 386.015 * * [simplify]: Extracting #1: cost 3 inf + 0 386.015 * * [simplify]: Extracting #2: cost 6 inf + 0 386.015 * * [simplify]: Extracting #3: cost 10 inf + 0 386.015 * * [simplify]: Extracting #4: cost 24 inf + 0 386.015 * * [simplify]: Extracting #5: cost 144 inf + 0 386.016 * * [simplify]: Extracting #6: cost 282 inf + 86 386.017 * * [simplify]: Extracting #7: cost 310 inf + 3184 386.021 * * [simplify]: Extracting #8: cost 216 inf + 20915 386.029 * * [simplify]: Extracting #9: cost 123 inf + 51923 386.044 * * [simplify]: Extracting #10: cost 23 inf + 91976 386.063 * * [simplify]: Extracting #11: cost 4 inf + 104271 386.092 * * [simplify]: Extracting #12: cost 1 inf + 108906 386.134 * * [simplify]: Extracting #13: cost 0 inf + 110691 386.174 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 386.174 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 386.175 * * * * [progress]: [ 1105 / 4754 ] simplifiying candidate # 386.175 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 386.176 * * [simplify]: iters left: 6 (40 enodes) 386.194 * * [simplify]: iters left: 5 (208 enodes) 386.252 * * [simplify]: Extracting #0: cost 1 inf + 0 386.252 * * [simplify]: Extracting #1: cost 3 inf + 0 386.252 * * [simplify]: Extracting #2: cost 6 inf + 0 386.252 * * [simplify]: Extracting #3: cost 10 inf + 0 386.252 * * [simplify]: Extracting #4: cost 24 inf + 0 386.253 * * [simplify]: Extracting #5: cost 118 inf + 0 386.253 * * [simplify]: Extracting #6: cost 231 inf + 86 386.254 * * [simplify]: Extracting #7: cost 260 inf + 2128 386.258 * * [simplify]: Extracting #8: cost 163 inf + 21943 386.271 * * [simplify]: Extracting #9: cost 33 inf + 68767 386.300 * * [simplify]: Extracting #10: cost 7 inf + 79814 386.327 * * [simplify]: Extracting #11: cost 0 inf + 87416 386.346 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 386.346 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 386.346 * * * * [progress]: [ 1106 / 4754 ] simplifiying candidate # 386.347 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 386.347 * * [simplify]: iters left: 6 (47 enodes) 386.360 * * [simplify]: iters left: 5 (246 enodes) 386.432 * * [simplify]: Extracting #0: cost 1 inf + 0 386.433 * * [simplify]: Extracting #1: cost 3 inf + 0 386.433 * * [simplify]: Extracting #2: cost 6 inf + 0 386.433 * * [simplify]: Extracting #3: cost 10 inf + 0 386.433 * * [simplify]: Extracting #4: cost 24 inf + 0 386.433 * * [simplify]: Extracting #5: cost 144 inf + 0 386.434 * * [simplify]: Extracting #6: cost 282 inf + 86 386.437 * * [simplify]: Extracting #7: cost 311 inf + 2982 386.444 * * [simplify]: Extracting #8: cost 219 inf + 19385 386.460 * * [simplify]: Extracting #9: cost 118 inf + 55343 386.477 * * [simplify]: Extracting #10: cost 22 inf + 93260 386.498 * * [simplify]: Extracting #11: cost 4 inf + 104911 386.539 * * [simplify]: Extracting #12: cost 1 inf + 109546 386.565 * * [simplify]: Extracting #13: cost 0 inf + 111331 386.589 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 386.589 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 386.590 * * * * [progress]: [ 1107 / 4754 ] simplifiying candidate # 386.590 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 386.591 * * [simplify]: iters left: 6 (41 enodes) 386.607 * * [simplify]: iters left: 5 (210 enodes) 386.656 * * [simplify]: Extracting #0: cost 1 inf + 0 386.656 * * [simplify]: Extracting #1: cost 3 inf + 0 386.656 * * [simplify]: Extracting #2: cost 6 inf + 0 386.656 * * [simplify]: Extracting #3: cost 10 inf + 0 386.656 * * [simplify]: Extracting #4: cost 24 inf + 0 386.657 * * [simplify]: Extracting #5: cost 118 inf + 0 386.657 * * [simplify]: Extracting #6: cost 232 inf + 86 386.658 * * [simplify]: Extracting #7: cost 253 inf + 4110 386.664 * * [simplify]: Extracting #8: cost 119 inf + 36065 386.676 * * [simplify]: Extracting #9: cost 20 inf + 72572 386.705 * * [simplify]: Extracting #10: cost 8 inf + 78793 386.736 * * [simplify]: Extracting #11: cost 2 inf + 84850 386.763 * * [simplify]: Extracting #12: cost 0 inf + 87820 386.782 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 386.783 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 386.784 * * * * [progress]: [ 1108 / 4754 ] simplifiying candidate # 386.784 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 386.785 * * [simplify]: iters left: 6 (46 enodes) 386.805 * * [simplify]: iters left: 5 (231 enodes) 386.868 * * [simplify]: Extracting #0: cost 1 inf + 0 386.868 * * [simplify]: Extracting #1: cost 3 inf + 0 386.868 * * [simplify]: Extracting #2: cost 6 inf + 0 386.868 * * [simplify]: Extracting #3: cost 10 inf + 0 386.868 * * [simplify]: Extracting #4: cost 20 inf + 0 386.869 * * [simplify]: Extracting #5: cost 120 inf + 0 386.870 * * [simplify]: Extracting #6: cost 256 inf + 86 386.872 * * [simplify]: Extracting #7: cost 288 inf + 2982 386.879 * * [simplify]: Extracting #8: cost 195 inf + 18628 386.891 * * [simplify]: Extracting #9: cost 112 inf + 46659 386.906 * * [simplify]: Extracting #10: cost 18 inf + 92397 386.925 * * [simplify]: Extracting #11: cost 2 inf + 104931 386.948 * * [simplify]: Extracting #12: cost 0 inf + 108301 386.968 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 386.969 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 386.969 * * * * [progress]: [ 1109 / 4754 ] simplifiying candidate # 386.970 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 386.970 * * [simplify]: iters left: 6 (46 enodes) 386.982 * * [simplify]: iters left: 5 (233 enodes) 387.065 * * [simplify]: Extracting #0: cost 1 inf + 0 387.065 * * [simplify]: Extracting #1: cost 3 inf + 0 387.065 * * [simplify]: Extracting #2: cost 6 inf + 0 387.065 * * [simplify]: Extracting #3: cost 10 inf + 0 387.065 * * [simplify]: Extracting #4: cost 20 inf + 0 387.065 * * [simplify]: Extracting #5: cost 117 inf + 0 387.067 * * [simplify]: Extracting #6: cost 263 inf + 86 387.069 * * [simplify]: Extracting #7: cost 294 inf + 2865 387.077 * * [simplify]: Extracting #8: cost 177 inf + 24241 387.098 * * [simplify]: Extracting #9: cost 68 inf + 68087 387.122 * * [simplify]: Extracting #10: cost 9 inf + 96970 387.147 * * [simplify]: Extracting #11: cost 2 inf + 105012 387.186 * * [simplify]: Extracting #12: cost 0 inf + 108462 387.224 * * [simplify]: Extracting #13: cost 0 inf + 108222 387.250 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 387.250 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 387.251 * * * * [progress]: [ 1110 / 4754 ] simplifiying candidate # 387.251 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 387.251 * * [simplify]: iters left: 6 (46 enodes) 387.263 * * [simplify]: iters left: 5 (232 enodes) 387.332 * * [simplify]: Extracting #0: cost 1 inf + 0 387.332 * * [simplify]: Extracting #1: cost 3 inf + 0 387.332 * * [simplify]: Extracting #2: cost 6 inf + 0 387.333 * * [simplify]: Extracting #3: cost 10 inf + 0 387.333 * * [simplify]: Extracting #4: cost 20 inf + 0 387.333 * * [simplify]: Extracting #5: cost 121 inf + 0 387.333 * * [simplify]: Extracting #6: cost 257 inf + 44 387.335 * * [simplify]: Extracting #7: cost 289 inf + 1844 387.339 * * [simplify]: Extracting #8: cost 171 inf + 25575 387.353 * * [simplify]: Extracting #9: cost 48 inf + 80989 387.390 * * [simplify]: Extracting #10: cost 9 inf + 100323 387.414 * * [simplify]: Extracting #11: cost 0 inf + 103877 387.433 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 387.433 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 387.435 * * * * [progress]: [ 1111 / 4754 ] simplifiying candidate # 387.435 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 387.436 * * [simplify]: iters left: 6 (40 enodes) 387.458 * * [simplify]: iters left: 5 (196 enodes) 387.513 * * [simplify]: Extracting #0: cost 1 inf + 0 387.514 * * [simplify]: Extracting #1: cost 3 inf + 0 387.514 * * [simplify]: Extracting #2: cost 6 inf + 0 387.514 * * [simplify]: Extracting #3: cost 10 inf + 0 387.514 * * [simplify]: Extracting #4: cost 20 inf + 0 387.514 * * [simplify]: Extracting #5: cost 112 inf + 0 387.515 * * [simplify]: Extracting #6: cost 218 inf + 86 387.517 * * [simplify]: Extracting #7: cost 224 inf + 3830 387.524 * * [simplify]: Extracting #8: cost 129 inf + 23590 387.543 * * [simplify]: Extracting #9: cost 39 inf + 60188 387.557 * * [simplify]: Extracting #10: cost 6 inf + 74222 387.572 * * [simplify]: Extracting #11: cost 1 inf + 79987 387.602 * * [simplify]: Extracting #12: cost 0 inf + 81452 387.631 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))) 387.631 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 387.633 * * * * [progress]: [ 1112 / 4754 ] simplifiying candidate # 387.633 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 387.634 * * [simplify]: iters left: 6 (45 enodes) 387.659 * * [simplify]: iters left: 5 (226 enodes) 387.730 * * [simplify]: Extracting #0: cost 1 inf + 0 387.730 * * [simplify]: Extracting #1: cost 3 inf + 0 387.730 * * [simplify]: Extracting #2: cost 6 inf + 0 387.730 * * [simplify]: Extracting #3: cost 10 inf + 0 387.730 * * [simplify]: Extracting #4: cost 24 inf + 0 387.730 * * [simplify]: Extracting #5: cost 137 inf + 0 387.731 * * [simplify]: Extracting #6: cost 250 inf + 127 387.732 * * [simplify]: Extracting #7: cost 252 inf + 4722 387.737 * * [simplify]: Extracting #8: cost 154 inf + 29794 387.744 * * [simplify]: Extracting #9: cost 104 inf + 44876 387.758 * * [simplify]: Extracting #10: cost 16 inf + 84872 387.775 * * [simplify]: Extracting #11: cost 4 inf + 92867 387.811 * * [simplify]: Extracting #12: cost 1 inf + 97302 387.833 * * [simplify]: Extracting #13: cost 0 inf + 98927 387.851 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 387.851 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 387.851 * * * * [progress]: [ 1113 / 4754 ] simplifiying candidate # 387.852 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 387.852 * * [simplify]: iters left: 6 (34 enodes) 387.861 * * [simplify]: iters left: 5 (162 enodes) 387.932 * * [simplify]: iters left: 4 (464 enodes) 388.291 * * [simplify]: Extracting #0: cost 1 inf + 0 388.291 * * [simplify]: Extracting #1: cost 4 inf + 0 388.291 * * [simplify]: Extracting #2: cost 7 inf + 0 388.291 * * [simplify]: Extracting #3: cost 19 inf + 0 388.292 * * [simplify]: Extracting #4: cost 247 inf + 0 388.296 * * [simplify]: Extracting #5: cost 639 inf + 209 388.307 * * [simplify]: Extracting #6: cost 671 inf + 21667 388.340 * * [simplify]: Extracting #7: cost 374 inf + 102189 388.374 * * [simplify]: Extracting #8: cost 298 inf + 116848 388.427 * * [simplify]: Extracting #9: cost 84 inf + 207585 388.527 * * [simplify]: Extracting #10: cost 1 inf + 251490 388.594 * * [simplify]: Extracting #11: cost 0 inf + 252355 388.649 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) 388.649 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 388.649 * * * * [progress]: [ 1114 / 4754 ] simplifiying candidate # 388.649 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 388.650 * * [simplify]: iters left: 6 (45 enodes) 388.665 * * [simplify]: iters left: 5 (227 enodes) 388.755 * * [simplify]: Extracting #0: cost 1 inf + 0 388.755 * * [simplify]: Extracting #1: cost 3 inf + 0 388.755 * * [simplify]: Extracting #2: cost 6 inf + 0 388.755 * * [simplify]: Extracting #3: cost 10 inf + 0 388.755 * * [simplify]: Extracting #4: cost 24 inf + 0 388.756 * * [simplify]: Extracting #5: cost 136 inf + 0 388.756 * * [simplify]: Extracting #6: cost 255 inf + 127 388.758 * * [simplify]: Extracting #7: cost 264 inf + 3468 388.763 * * [simplify]: Extracting #8: cost 147 inf + 34408 388.791 * * [simplify]: Extracting #9: cost 35 inf + 84402 388.828 * * [simplify]: Extracting #10: cost 1 inf + 101411 388.857 * * [simplify]: Extracting #11: cost 0 inf + 100783 388.875 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 388.875 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 388.876 * * * * [progress]: [ 1115 / 4754 ] simplifiying candidate # 388.876 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 388.876 * * [simplify]: iters left: 6 (38 enodes) 388.892 * * [simplify]: iters left: 5 (179 enodes) 388.938 * * [simplify]: Extracting #0: cost 1 inf + 0 388.938 * * [simplify]: Extracting #1: cost 3 inf + 0 388.938 * * [simplify]: Extracting #2: cost 5 inf + 0 388.938 * * [simplify]: Extracting #3: cost 7 inf + 0 388.939 * * [simplify]: Extracting #4: cost 14 inf + 0 388.939 * * [simplify]: Extracting #5: cost 77 inf + 0 388.939 * * [simplify]: Extracting #6: cost 169 inf + 86 388.941 * * [simplify]: Extracting #7: cost 185 inf + 2006 388.945 * * [simplify]: Extracting #8: cost 137 inf + 15482 388.955 * * [simplify]: Extracting #9: cost 60 inf + 38066 388.972 * * [simplify]: Extracting #10: cost 14 inf + 49652 388.993 * * [simplify]: Extracting #11: cost 0 inf + 59701 389.014 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 389.014 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 389.015 * * * * [progress]: [ 1116 / 4754 ] simplifiying candidate # 389.015 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 389.016 * * [simplify]: iters left: 6 (48 enodes) 389.044 * * [simplify]: iters left: 5 (245 enodes) 389.131 * * [simplify]: Extracting #0: cost 1 inf + 0 389.131 * * [simplify]: Extracting #1: cost 3 inf + 0 389.131 * * [simplify]: Extracting #2: cost 6 inf + 0 389.131 * * [simplify]: Extracting #3: cost 10 inf + 0 389.131 * * [simplify]: Extracting #4: cost 20 inf + 0 389.131 * * [simplify]: Extracting #5: cost 141 inf + 0 389.132 * * [simplify]: Extracting #6: cost 285 inf + 86 389.134 * * [simplify]: Extracting #7: cost 321 inf + 3349 389.139 * * [simplify]: Extracting #8: cost 226 inf + 18595 389.150 * * [simplify]: Extracting #9: cost 123 inf + 53056 389.188 * * [simplify]: Extracting #10: cost 24 inf + 100621 389.212 * * [simplify]: Extracting #11: cost 5 inf + 113070 389.244 * * [simplify]: Extracting #12: cost 1 inf + 119450 389.286 * * [simplify]: Extracting #13: cost 0 inf + 121195 389.310 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1))))))) 389.310 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 389.311 * * * * [progress]: [ 1117 / 4754 ] simplifiying candidate # 389.311 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 389.311 * * [simplify]: iters left: 6 (48 enodes) 389.330 * * [simplify]: iters left: 5 (247 enodes) 389.423 * * [simplify]: Extracting #0: cost 1 inf + 0 389.423 * * [simplify]: Extracting #1: cost 3 inf + 0 389.423 * * [simplify]: Extracting #2: cost 6 inf + 0 389.423 * * [simplify]: Extracting #3: cost 10 inf + 0 389.423 * * [simplify]: Extracting #4: cost 20 inf + 0 389.424 * * [simplify]: Extracting #5: cost 139 inf + 0 389.424 * * [simplify]: Extracting #6: cost 294 inf + 86 389.427 * * [simplify]: Extracting #7: cost 323 inf + 4156 389.436 * * [simplify]: Extracting #8: cost 199 inf + 30309 389.454 * * [simplify]: Extracting #9: cost 126 inf + 53669 389.485 * * [simplify]: Extracting #10: cost 33 inf + 95922 389.513 * * [simplify]: Extracting #11: cost 2 inf + 119735 389.538 * * [simplify]: Extracting #12: cost 0 inf + 122545 389.569 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 389.569 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 389.569 * * * * [progress]: [ 1118 / 4754 ] simplifiying candidate # 389.570 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 389.570 * * [simplify]: iters left: 6 (48 enodes) 389.584 * * [simplify]: iters left: 5 (247 enodes) 389.671 * * [simplify]: Extracting #0: cost 1 inf + 0 389.671 * * [simplify]: Extracting #1: cost 3 inf + 0 389.671 * * [simplify]: Extracting #2: cost 6 inf + 0 389.671 * * [simplify]: Extracting #3: cost 10 inf + 0 389.671 * * [simplify]: Extracting #4: cost 20 inf + 0 389.671 * * [simplify]: Extracting #5: cost 151 inf + 0 389.673 * * [simplify]: Extracting #6: cost 289 inf + 86 389.676 * * [simplify]: Extracting #7: cost 312 inf + 4075 389.683 * * [simplify]: Extracting #8: cost 220 inf + 20889 389.700 * * [simplify]: Extracting #9: cost 135 inf + 50719 389.735 * * [simplify]: Extracting #10: cost 38 inf + 91914 389.775 * * [simplify]: Extracting #11: cost 1 inf + 116505 389.811 * * [simplify]: Extracting #12: cost 0 inf + 118410 389.847 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 389.847 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 389.847 * * * * [progress]: [ 1119 / 4754 ] simplifiying candidate # 389.848 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 389.848 * * [simplify]: iters left: 6 (42 enodes) 389.860 * * [simplify]: iters left: 5 (211 enodes) 389.941 * * [simplify]: Extracting #0: cost 1 inf + 0 389.941 * * [simplify]: Extracting #1: cost 3 inf + 0 389.941 * * [simplify]: Extracting #2: cost 6 inf + 0 389.941 * * [simplify]: Extracting #3: cost 10 inf + 0 389.941 * * [simplify]: Extracting #4: cost 20 inf + 0 389.941 * * [simplify]: Extracting #5: cost 142 inf + 0 389.942 * * [simplify]: Extracting #6: cost 251 inf + 86 389.943 * * [simplify]: Extracting #7: cost 264 inf + 3384 389.947 * * [simplify]: Extracting #8: cost 158 inf + 25820 389.961 * * [simplify]: Extracting #9: cost 42 inf + 71367 389.997 * * [simplify]: Extracting #10: cost 10 inf + 85411 390.022 * * [simplify]: Extracting #11: cost 1 inf + 94461 390.042 * * [simplify]: Extracting #12: cost 0 inf + 95526 390.070 * * [simplify]: Extracting #13: cost 0 inf + 95406 390.095 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- phi1 phi2)))))) 390.095 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.096 * * * * [progress]: [ 1120 / 4754 ] simplifiying candidate # 390.096 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 390.097 * * [simplify]: iters left: 6 (47 enodes) 390.109 * * [simplify]: iters left: 5 (241 enodes) 390.170 * * [simplify]: Extracting #0: cost 1 inf + 0 390.170 * * [simplify]: Extracting #1: cost 3 inf + 0 390.170 * * [simplify]: Extracting #2: cost 6 inf + 0 390.170 * * [simplify]: Extracting #3: cost 10 inf + 0 390.170 * * [simplify]: Extracting #4: cost 28 inf + 0 390.171 * * [simplify]: Extracting #5: cost 182 inf + 0 390.172 * * [simplify]: Extracting #6: cost 299 inf + 85 390.173 * * [simplify]: Extracting #7: cost 319 inf + 2656 390.178 * * [simplify]: Extracting #8: cost 211 inf + 24241 390.186 * * [simplify]: Extracting #9: cost 140 inf + 50906 390.202 * * [simplify]: Extracting #10: cost 32 inf + 101157 390.223 * * [simplify]: Extracting #11: cost 4 inf + 117494 390.246 * * [simplify]: Extracting #12: cost 1 inf + 121849 390.270 * * [simplify]: Extracting #13: cost 0 inf + 123554 390.292 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.292 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.292 * * * * [progress]: [ 1121 / 4754 ] simplifiying candidate # 390.293 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 390.293 * * [simplify]: iters left: 6 (40 enodes) 390.304 * * [simplify]: iters left: 5 (202 enodes) 390.381 * * [simplify]: Extracting #0: cost 1 inf + 0 390.381 * * [simplify]: Extracting #1: cost 4 inf + 0 390.381 * * [simplify]: Extracting #2: cost 7 inf + 0 390.381 * * [simplify]: Extracting #3: cost 14 inf + 0 390.381 * * [simplify]: Extracting #4: cost 86 inf + 0 390.382 * * [simplify]: Extracting #5: cost 180 inf + 2 390.382 * * [simplify]: Extracting #6: cost 212 inf + 498 390.384 * * [simplify]: Extracting #7: cost 146 inf + 14059 390.390 * * [simplify]: Extracting #8: cost 55 inf + 40305 390.401 * * [simplify]: Extracting #9: cost 9 inf + 53842 390.415 * * [simplify]: Extracting #10: cost 2 inf + 59564 390.438 * * [simplify]: Extracting #11: cost 0 inf + 61574 390.463 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) 390.463 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.464 * * * * [progress]: [ 1122 / 4754 ] simplifiying candidate # 390.465 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 390.465 * * [simplify]: iters left: 6 (47 enodes) 390.487 * * [simplify]: iters left: 5 (241 enodes) 390.558 * * [simplify]: Extracting #0: cost 1 inf + 0 390.558 * * [simplify]: Extracting #1: cost 3 inf + 0 390.558 * * [simplify]: Extracting #2: cost 6 inf + 0 390.558 * * [simplify]: Extracting #3: cost 10 inf + 0 390.558 * * [simplify]: Extracting #4: cost 28 inf + 0 390.558 * * [simplify]: Extracting #5: cost 183 inf + 0 390.560 * * [simplify]: Extracting #6: cost 306 inf + 86 390.563 * * [simplify]: Extracting #7: cost 322 inf + 3506 390.570 * * [simplify]: Extracting #8: cost 231 inf + 20317 390.593 * * [simplify]: Extracting #9: cost 85 inf + 79969 390.621 * * [simplify]: Extracting #10: cost 7 inf + 120220 390.651 * * [simplify]: Extracting #11: cost 0 inf + 126458 390.688 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.688 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.689 * * * * [progress]: [ 1123 / 4754 ] simplifiying candidate # 390.689 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 390.689 * * [simplify]: iters left: 6 (41 enodes) 390.704 * * [simplify]: iters left: 5 (205 enodes) 390.765 * * [simplify]: Extracting #0: cost 1 inf + 0 390.765 * * [simplify]: Extracting #1: cost 4 inf + 0 390.765 * * [simplify]: Extracting #2: cost 7 inf + 0 390.765 * * [simplify]: Extracting #3: cost 14 inf + 0 390.765 * * [simplify]: Extracting #4: cost 91 inf + 0 390.765 * * [simplify]: Extracting #5: cost 189 inf + 86 390.766 * * [simplify]: Extracting #6: cost 201 inf + 3220 390.778 * * [simplify]: Extracting #7: cost 103 inf + 25047 390.796 * * [simplify]: Extracting #8: cost 24 inf + 54027 390.811 * * [simplify]: Extracting #9: cost 6 inf + 60064 390.823 * * [simplify]: Extracting #10: cost 2 inf + 63484 390.838 * * [simplify]: Extracting #11: cost 0 inf + 65534 390.862 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) 390.862 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 390.863 * * * * [progress]: [ 1124 / 4754 ] simplifiying candidate # 390.864 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 390.864 * * [simplify]: iters left: 6 (48 enodes) 390.890 * * [simplify]: iters left: 5 (253 enodes) 390.956 * * [simplify]: Extracting #0: cost 1 inf + 0 390.956 * * [simplify]: Extracting #1: cost 3 inf + 0 390.956 * * [simplify]: Extracting #2: cost 6 inf + 0 390.956 * * [simplify]: Extracting #3: cost 10 inf + 0 390.956 * * [simplify]: Extracting #4: cost 20 inf + 0 390.956 * * [simplify]: Extracting #5: cost 130 inf + 0 390.957 * * [simplify]: Extracting #6: cost 298 inf + 86 390.958 * * [simplify]: Extracting #7: cost 332 inf + 2737 390.964 * * [simplify]: Extracting #8: cost 181 inf + 37796 390.999 * * [simplify]: Extracting #9: cost 30 inf + 98045 391.019 * * [simplify]: Extracting #10: cost 8 inf + 108365 391.041 * * [simplify]: Extracting #11: cost 0 inf + 111514 391.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 391.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 391.081 * * * * [progress]: [ 1125 / 4754 ] simplifiying candidate # 391.082 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 391.082 * * [simplify]: iters left: 6 (48 enodes) 391.110 * * [simplify]: iters left: 5 (251 enodes) 391.199 * * [simplify]: Extracting #0: cost 1 inf + 0 391.199 * * [simplify]: Extracting #1: cost 3 inf + 0 391.199 * * [simplify]: Extracting #2: cost 6 inf + 0 391.199 * * [simplify]: Extracting #3: cost 10 inf + 0 391.200 * * [simplify]: Extracting #4: cost 20 inf + 0 391.200 * * [simplify]: Extracting #5: cost 125 inf + 0 391.201 * * [simplify]: Extracting #6: cost 291 inf + 44 391.204 * * [simplify]: Extracting #7: cost 324 inf + 2854 391.215 * * [simplify]: Extracting #8: cost 207 inf + 21792 391.232 * * [simplify]: Extracting #9: cost 104 inf + 53532 391.261 * * [simplify]: Extracting #10: cost 26 inf + 86913 391.283 * * [simplify]: Extracting #11: cost 2 inf + 102300 391.304 * * [simplify]: Extracting #12: cost 1 inf + 104045 391.342 * * [simplify]: Extracting #13: cost 0 inf + 105790 391.380 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 391.380 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 391.381 * * * * [progress]: [ 1126 / 4754 ] simplifiying candidate # 391.381 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 391.382 * * [simplify]: iters left: 6 (48 enodes) 391.400 * * [simplify]: iters left: 5 (251 enodes) 391.478 * * [simplify]: Extracting #0: cost 1 inf + 0 391.478 * * [simplify]: Extracting #1: cost 3 inf + 0 391.478 * * [simplify]: Extracting #2: cost 6 inf + 0 391.478 * * [simplify]: Extracting #3: cost 10 inf + 0 391.478 * * [simplify]: Extracting #4: cost 20 inf + 0 391.478 * * [simplify]: Extracting #5: cost 128 inf + 0 391.479 * * [simplify]: Extracting #6: cost 288 inf + 86 391.480 * * [simplify]: Extracting #7: cost 320 inf + 2047 391.483 * * [simplify]: Extracting #8: cost 216 inf + 18923 391.491 * * [simplify]: Extracting #9: cost 117 inf + 47173 391.507 * * [simplify]: Extracting #10: cost 23 inf + 87181 391.533 * * [simplify]: Extracting #11: cost 1 inf + 102185 391.555 * * [simplify]: Extracting #12: cost 0 inf + 103890 391.582 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))))) 391.582 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 391.582 * * * * [progress]: [ 1127 / 4754 ] simplifiying candidate # 391.583 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 391.583 * * [simplify]: iters left: 6 (42 enodes) 391.594 * * [simplify]: iters left: 5 (218 enodes) 391.667 * * [simplify]: Extracting #0: cost 1 inf + 0 391.667 * * [simplify]: Extracting #1: cost 3 inf + 0 391.667 * * [simplify]: Extracting #2: cost 6 inf + 0 391.667 * * [simplify]: Extracting #3: cost 10 inf + 0 391.667 * * [simplify]: Extracting #4: cost 20 inf + 0 391.667 * * [simplify]: Extracting #5: cost 124 inf + 0 391.668 * * [simplify]: Extracting #6: cost 260 inf + 86 391.669 * * [simplify]: Extracting #7: cost 266 inf + 3952 391.673 * * [simplify]: Extracting #8: cost 150 inf + 26426 391.685 * * [simplify]: Extracting #9: cost 27 inf + 71077 391.705 * * [simplify]: Extracting #10: cost 1 inf + 84198 391.736 * * [simplify]: Extracting #11: cost 0 inf + 85463 391.770 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 391.770 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 391.771 * * * * [progress]: [ 1128 / 4754 ] simplifiying candidate # 391.772 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 391.772 * * [simplify]: iters left: 6 (47 enodes) 391.797 * * [simplify]: iters left: 5 (245 enodes) 391.885 * * [simplify]: Extracting #0: cost 1 inf + 0 391.885 * * [simplify]: Extracting #1: cost 3 inf + 0 391.885 * * [simplify]: Extracting #2: cost 6 inf + 0 391.885 * * [simplify]: Extracting #3: cost 10 inf + 0 391.885 * * [simplify]: Extracting #4: cost 24 inf + 0 391.886 * * [simplify]: Extracting #5: cost 144 inf + 0 391.887 * * [simplify]: Extracting #6: cost 283 inf + 86 391.889 * * [simplify]: Extracting #7: cost 293 inf + 3510 391.898 * * [simplify]: Extracting #8: cost 186 inf + 25623 391.920 * * [simplify]: Extracting #9: cost 55 inf + 69120 391.954 * * [simplify]: Extracting #10: cost 11 inf + 91049 391.989 * * [simplify]: Extracting #11: cost 0 inf + 99226 392.015 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 392.015 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 392.015 * * * * [progress]: [ 1129 / 4754 ] simplifiying candidate # 392.016 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 392.016 * * [simplify]: iters left: 6 (40 enodes) 392.027 * * [simplify]: iters left: 5 (205 enodes) 392.099 * * [simplify]: Extracting #0: cost 1 inf + 0 392.099 * * [simplify]: Extracting #1: cost 3 inf + 0 392.099 * * [simplify]: Extracting #2: cost 6 inf + 0 392.099 * * [simplify]: Extracting #3: cost 10 inf + 0 392.099 * * [simplify]: Extracting #4: cost 24 inf + 0 392.100 * * [simplify]: Extracting #5: cost 119 inf + 0 392.101 * * [simplify]: Extracting #6: cost 229 inf + 86 392.103 * * [simplify]: Extracting #7: cost 233 inf + 3870 392.116 * * [simplify]: Extracting #8: cost 126 inf + 26928 392.138 * * [simplify]: Extracting #9: cost 18 inf + 65391 392.157 * * [simplify]: Extracting #10: cost 5 inf + 72996 392.175 * * [simplify]: Extracting #11: cost 0 inf + 76253 392.203 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))))) 392.203 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 392.204 * * * * [progress]: [ 1130 / 4754 ] simplifiying candidate # 392.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 392.205 * * [simplify]: iters left: 6 (47 enodes) 392.230 * * [simplify]: iters left: 5 (245 enodes) 392.301 * * [simplify]: Extracting #0: cost 1 inf + 0 392.301 * * [simplify]: Extracting #1: cost 3 inf + 0 392.301 * * [simplify]: Extracting #2: cost 6 inf + 0 392.301 * * [simplify]: Extracting #3: cost 10 inf + 0 392.301 * * [simplify]: Extracting #4: cost 24 inf + 0 392.301 * * [simplify]: Extracting #5: cost 144 inf + 0 392.302 * * [simplify]: Extracting #6: cost 283 inf + 86 392.303 * * [simplify]: Extracting #7: cost 294 inf + 3386 392.307 * * [simplify]: Extracting #8: cost 189 inf + 25173 392.319 * * [simplify]: Extracting #9: cost 62 inf + 66970 392.346 * * [simplify]: Extracting #10: cost 10 inf + 92152 392.367 * * [simplify]: Extracting #11: cost 0 inf + 99866 392.391 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 392.391 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 392.392 * * * * [progress]: [ 1131 / 4754 ] simplifiying candidate # 392.392 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 392.393 * * [simplify]: iters left: 6 (41 enodes) 392.416 * * [simplify]: iters left: 5 (208 enodes) 392.483 * * [simplify]: Extracting #0: cost 1 inf + 0 392.484 * * [simplify]: Extracting #1: cost 3 inf + 0 392.484 * * [simplify]: Extracting #2: cost 6 inf + 0 392.484 * * [simplify]: Extracting #3: cost 10 inf + 0 392.484 * * [simplify]: Extracting #4: cost 24 inf + 0 392.484 * * [simplify]: Extracting #5: cost 118 inf + 0 392.484 * * [simplify]: Extracting #6: cost 229 inf + 86 392.486 * * [simplify]: Extracting #7: cost 233 inf + 3587 392.493 * * [simplify]: Extracting #8: cost 132 inf + 23826 392.503 * * [simplify]: Extracting #9: cost 24 inf + 61226 392.517 * * [simplify]: Extracting #10: cost 2 inf + 74656 392.541 * * [simplify]: Extracting #11: cost 0 inf + 76213 392.555 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 392.555 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 392.556 * * * * [progress]: [ 1132 / 4754 ] simplifiying candidate # 392.556 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 392.557 * * [simplify]: iters left: 6 (49 enodes) 392.570 * * [simplify]: iters left: 5 (245 enodes) 392.653 * * [simplify]: Extracting #0: cost 1 inf + 0 392.653 * * [simplify]: Extracting #1: cost 3 inf + 0 392.653 * * [simplify]: Extracting #2: cost 6 inf + 0 392.653 * * [simplify]: Extracting #3: cost 10 inf + 0 392.653 * * [simplify]: Extracting #4: cost 20 inf + 0 392.653 * * [simplify]: Extracting #5: cost 126 inf + 0 392.654 * * [simplify]: Extracting #6: cost 273 inf + 86 392.655 * * [simplify]: Extracting #7: cost 310 inf + 2619 392.658 * * [simplify]: Extracting #8: cost 220 inf + 18498 392.666 * * [simplify]: Extracting #9: cost 134 inf + 44760 392.685 * * [simplify]: Extracting #10: cost 31 inf + 88083 392.715 * * [simplify]: Extracting #11: cost 3 inf + 108263 392.738 * * [simplify]: Extracting #12: cost 0 inf + 112898 392.768 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 392.768 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 392.769 * * * * [progress]: [ 1133 / 4754 ] simplifiying candidate # 392.770 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 392.770 * * [simplify]: iters left: 6 (49 enodes) 392.784 * * [simplify]: iters left: 5 (247 enodes) 392.882 * * [simplify]: Extracting #0: cost 1 inf + 0 392.882 * * [simplify]: Extracting #1: cost 3 inf + 0 392.882 * * [simplify]: Extracting #2: cost 6 inf + 0 392.882 * * [simplify]: Extracting #3: cost 10 inf + 0 392.882 * * [simplify]: Extracting #4: cost 20 inf + 0 392.883 * * [simplify]: Extracting #5: cost 127 inf + 0 392.883 * * [simplify]: Extracting #6: cost 284 inf + 86 392.884 * * [simplify]: Extracting #7: cost 313 inf + 3312 392.888 * * [simplify]: Extracting #8: cost 225 inf + 16620 392.898 * * [simplify]: Extracting #9: cost 139 inf + 45456 392.927 * * [simplify]: Extracting #10: cost 35 inf + 92365 392.962 * * [simplify]: Extracting #11: cost 5 inf + 106032 393.003 * * [simplify]: Extracting #12: cost 2 inf + 110827 393.030 * * [simplify]: Extracting #13: cost 0 inf + 114357 393.052 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 393.052 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 393.053 * * * * [progress]: [ 1134 / 4754 ] simplifiying candidate # 393.053 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 393.053 * * [simplify]: iters left: 6 (49 enodes) 393.070 * * [simplify]: iters left: 5 (247 enodes) 393.141 * * [simplify]: Extracting #0: cost 1 inf + 0 393.141 * * [simplify]: Extracting #1: cost 3 inf + 0 393.141 * * [simplify]: Extracting #2: cost 6 inf + 0 393.141 * * [simplify]: Extracting #3: cost 10 inf + 0 393.141 * * [simplify]: Extracting #4: cost 20 inf + 0 393.141 * * [simplify]: Extracting #5: cost 130 inf + 0 393.142 * * [simplify]: Extracting #6: cost 283 inf + 86 393.143 * * [simplify]: Extracting #7: cost 307 inf + 3953 393.147 * * [simplify]: Extracting #8: cost 199 inf + 25339 393.157 * * [simplify]: Extracting #9: cost 135 inf + 43769 393.188 * * [simplify]: Extracting #10: cost 29 inf + 89864 393.223 * * [simplify]: Extracting #11: cost 5 inf + 103397 393.246 * * [simplify]: Extracting #12: cost 2 inf + 108192 393.266 * * [simplify]: Extracting #13: cost 0 inf + 111722 393.286 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 393.286 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 393.286 * * * * [progress]: [ 1135 / 4754 ] simplifiying candidate # 393.287 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 393.287 * * [simplify]: iters left: 6 (43 enodes) 393.299 * * [simplify]: iters left: 5 (211 enodes) 393.374 * * [simplify]: Extracting #0: cost 1 inf + 0 393.374 * * [simplify]: Extracting #1: cost 3 inf + 0 393.374 * * [simplify]: Extracting #2: cost 6 inf + 0 393.374 * * [simplify]: Extracting #3: cost 10 inf + 0 393.374 * * [simplify]: Extracting #4: cost 20 inf + 0 393.375 * * [simplify]: Extracting #5: cost 121 inf + 0 393.376 * * [simplify]: Extracting #6: cost 246 inf + 86 393.378 * * [simplify]: Extracting #7: cost 256 inf + 3547 393.384 * * [simplify]: Extracting #8: cost 184 inf + 14799 393.396 * * [simplify]: Extracting #9: cost 113 inf + 38804 393.420 * * [simplify]: Extracting #10: cost 20 inf + 75562 393.435 * * [simplify]: Extracting #11: cost 5 inf + 84576 393.454 * * [simplify]: Extracting #12: cost 0 inf + 90821 393.474 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 393.474 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 393.475 * * * * [progress]: [ 1136 / 4754 ] simplifiying candidate # 393.475 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 393.475 * * [simplify]: iters left: 6 (48 enodes) 393.488 * * [simplify]: iters left: 5 (241 enodes) 393.568 * * [simplify]: Extracting #0: cost 1 inf + 0 393.568 * * [simplify]: Extracting #1: cost 3 inf + 0 393.568 * * [simplify]: Extracting #2: cost 6 inf + 0 393.568 * * [simplify]: Extracting #3: cost 10 inf + 0 393.569 * * [simplify]: Extracting #4: cost 24 inf + 0 393.569 * * [simplify]: Extracting #5: cost 146 inf + 0 393.570 * * [simplify]: Extracting #6: cost 275 inf + 127 393.573 * * [simplify]: Extracting #7: cost 279 inf + 4608 393.581 * * [simplify]: Extracting #8: cost 181 inf + 25617 393.607 * * [simplify]: Extracting #9: cost 48 inf + 81893 393.637 * * [simplify]: Extracting #10: cost 10 inf + 96294 393.655 * * [simplify]: Extracting #11: cost 2 inf + 102864 393.678 * * [simplify]: Extracting #12: cost 0 inf + 106554 393.703 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 393.703 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 393.704 * * * * [progress]: [ 1137 / 4754 ] simplifiying candidate # 393.705 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 393.705 * * [simplify]: iters left: 6 (41 enodes) 393.730 * * [simplify]: iters left: 5 (203 enodes) 393.787 * * [simplify]: Extracting #0: cost 1 inf + 0 393.787 * * [simplify]: Extracting #1: cost 3 inf + 0 393.787 * * [simplify]: Extracting #2: cost 6 inf + 0 393.787 * * [simplify]: Extracting #3: cost 10 inf + 0 393.787 * * [simplify]: Extracting #4: cost 24 inf + 0 393.787 * * [simplify]: Extracting #5: cost 123 inf + 0 393.789 * * [simplify]: Extracting #6: cost 228 inf + 86 393.790 * * [simplify]: Extracting #7: cost 239 inf + 3061 393.796 * * [simplify]: Extracting #8: cost 175 inf + 12889 393.806 * * [simplify]: Extracting #9: cost 104 inf + 35022 393.829 * * [simplify]: Extracting #10: cost 22 inf + 67690 393.849 * * [simplify]: Extracting #11: cost 0 inf + 82450 393.865 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 393.865 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 393.865 * * * * [progress]: [ 1138 / 4754 ] simplifiying candidate # 393.866 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 393.866 * * [simplify]: iters left: 6 (48 enodes) 393.879 * * [simplify]: iters left: 5 (241 enodes) 393.989 * * [simplify]: Extracting #0: cost 1 inf + 0 393.989 * * [simplify]: Extracting #1: cost 3 inf + 0 393.989 * * [simplify]: Extracting #2: cost 6 inf + 0 393.989 * * [simplify]: Extracting #3: cost 10 inf + 0 393.989 * * [simplify]: Extracting #4: cost 24 inf + 0 393.990 * * [simplify]: Extracting #5: cost 146 inf + 0 393.991 * * [simplify]: Extracting #6: cost 275 inf + 127 393.994 * * [simplify]: Extracting #7: cost 279 inf + 4608 394.002 * * [simplify]: Extracting #8: cost 181 inf + 25697 394.027 * * [simplify]: Extracting #9: cost 49 inf + 82241 394.053 * * [simplify]: Extracting #10: cost 10 inf + 96934 394.074 * * [simplify]: Extracting #11: cost 2 inf + 103504 394.108 * * [simplify]: Extracting #12: cost 0 inf + 107194 394.145 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 394.145 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 394.146 * * * * [progress]: [ 1139 / 4754 ] simplifiying candidate # 394.146 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 394.146 * * [simplify]: iters left: 6 (42 enodes) 394.157 * * [simplify]: iters left: 5 (205 enodes) 394.227 * * [simplify]: Extracting #0: cost 1 inf + 0 394.227 * * [simplify]: Extracting #1: cost 3 inf + 0 394.227 * * [simplify]: Extracting #2: cost 6 inf + 0 394.227 * * [simplify]: Extracting #3: cost 10 inf + 0 394.227 * * [simplify]: Extracting #4: cost 24 inf + 0 394.228 * * [simplify]: Extracting #5: cost 123 inf + 0 394.229 * * [simplify]: Extracting #6: cost 229 inf + 86 394.232 * * [simplify]: Extracting #7: cost 239 inf + 3345 394.237 * * [simplify]: Extracting #8: cost 171 inf + 14551 394.248 * * [simplify]: Extracting #9: cost 100 inf + 36124 394.269 * * [simplify]: Extracting #10: cost 23 inf + 67812 394.296 * * [simplify]: Extracting #11: cost 6 inf + 75344 394.326 * * [simplify]: Extracting #12: cost 1 inf + 82429 394.358 * * [simplify]: Extracting #13: cost 0 inf + 83414 394.373 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 394.373 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 394.374 * * * * [progress]: [ 1140 / 4754 ] simplifiying candidate # 394.374 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 394.375 * * [simplify]: iters left: 6 (49 enodes) 394.388 * * [simplify]: iters left: 5 (244 enodes) 394.448 * * [simplify]: Extracting #0: cost 1 inf + 0 394.448 * * [simplify]: Extracting #1: cost 3 inf + 0 394.448 * * [simplify]: Extracting #2: cost 6 inf + 0 394.448 * * [simplify]: Extracting #3: cost 10 inf + 0 394.448 * * [simplify]: Extracting #4: cost 20 inf + 0 394.448 * * [simplify]: Extracting #5: cost 121 inf + 0 394.449 * * [simplify]: Extracting #6: cost 270 inf + 86 394.450 * * [simplify]: Extracting #7: cost 305 inf + 3020 394.454 * * [simplify]: Extracting #8: cost 211 inf + 19114 394.467 * * [simplify]: Extracting #9: cost 129 inf + 42448 394.493 * * [simplify]: Extracting #10: cost 31 inf + 84595 394.518 * * [simplify]: Extracting #11: cost 4 inf + 99245 394.540 * * [simplify]: Extracting #12: cost 0 inf + 104425 394.570 * * [simplify]: Extracting #13: cost 0 inf + 104345 394.612 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 394.612 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 394.613 * * * * [progress]: [ 1141 / 4754 ] simplifiying candidate # 394.614 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 394.614 * * [simplify]: iters left: 6 (49 enodes) 394.639 * * [simplify]: iters left: 5 (246 enodes) 394.739 * * [simplify]: Extracting #0: cost 1 inf + 0 394.739 * * [simplify]: Extracting #1: cost 3 inf + 0 394.739 * * [simplify]: Extracting #2: cost 6 inf + 0 394.739 * * [simplify]: Extracting #3: cost 10 inf + 0 394.739 * * [simplify]: Extracting #4: cost 20 inf + 0 394.739 * * [simplify]: Extracting #5: cost 122 inf + 0 394.740 * * [simplify]: Extracting #6: cost 280 inf + 86 394.741 * * [simplify]: Extracting #7: cost 294 inf + 5977 394.746 * * [simplify]: Extracting #8: cost 191 inf + 25305 394.754 * * [simplify]: Extracting #9: cost 127 inf + 44339 394.785 * * [simplify]: Extracting #10: cost 33 inf + 84897 394.818 * * [simplify]: Extracting #11: cost 5 inf + 97395 394.853 * * [simplify]: Extracting #12: cost 2 inf + 101470 394.891 * * [simplify]: Extracting #13: cost 0 inf + 105000 394.929 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 394.929 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 394.930 * * * * [progress]: [ 1142 / 4754 ] simplifiying candidate # 394.931 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 394.932 * * [simplify]: iters left: 6 (49 enodes) 394.960 * * [simplify]: iters left: 5 (246 enodes) 395.050 * * [simplify]: Extracting #0: cost 1 inf + 0 395.050 * * [simplify]: Extracting #1: cost 3 inf + 0 395.050 * * [simplify]: Extracting #2: cost 6 inf + 0 395.051 * * [simplify]: Extracting #3: cost 10 inf + 0 395.051 * * [simplify]: Extracting #4: cost 20 inf + 0 395.051 * * [simplify]: Extracting #5: cost 125 inf + 0 395.052 * * [simplify]: Extracting #6: cost 278 inf + 86 395.055 * * [simplify]: Extracting #7: cost 303 inf + 3304 395.068 * * [simplify]: Extracting #8: cost 183 inf + 27352 395.093 * * [simplify]: Extracting #9: cost 43 inf + 79319 395.127 * * [simplify]: Extracting #10: cost 5 inf + 97441 395.163 * * [simplify]: Extracting #11: cost 0 inf + 102140 395.200 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 395.200 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 395.201 * * * * [progress]: [ 1143 / 4754 ] simplifiying candidate # 395.202 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 395.202 * * [simplify]: iters left: 6 (43 enodes) 395.227 * * [simplify]: iters left: 5 (210 enodes) 395.283 * * [simplify]: Extracting #0: cost 1 inf + 0 395.283 * * [simplify]: Extracting #1: cost 3 inf + 0 395.283 * * [simplify]: Extracting #2: cost 6 inf + 0 395.283 * * [simplify]: Extracting #3: cost 10 inf + 0 395.283 * * [simplify]: Extracting #4: cost 20 inf + 0 395.284 * * [simplify]: Extracting #5: cost 116 inf + 0 395.285 * * [simplify]: Extracting #6: cost 241 inf + 86 395.287 * * [simplify]: Extracting #7: cost 249 inf + 4316 395.295 * * [simplify]: Extracting #8: cost 155 inf + 22032 395.302 * * [simplify]: Extracting #9: cost 110 inf + 34301 395.315 * * [simplify]: Extracting #10: cost 24 inf + 67158 395.328 * * [simplify]: Extracting #11: cost 6 inf + 75489 395.355 * * [simplify]: Extracting #12: cost 4 inf + 77539 395.385 * * [simplify]: Extracting #13: cost 0 inf + 83119 395.414 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 395.414 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 395.415 * * * * [progress]: [ 1144 / 4754 ] simplifiying candidate # 395.416 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 395.416 * * [simplify]: iters left: 6 (48 enodes) 395.441 * * [simplify]: iters left: 5 (240 enodes) 395.548 * * [simplify]: Extracting #0: cost 1 inf + 0 395.548 * * [simplify]: Extracting #1: cost 3 inf + 0 395.548 * * [simplify]: Extracting #2: cost 6 inf + 0 395.548 * * [simplify]: Extracting #3: cost 10 inf + 0 395.548 * * [simplify]: Extracting #4: cost 24 inf + 0 395.548 * * [simplify]: Extracting #5: cost 141 inf + 0 395.549 * * [simplify]: Extracting #6: cost 273 inf + 85 395.552 * * [simplify]: Extracting #7: cost 291 inf + 2654 395.559 * * [simplify]: Extracting #8: cost 189 inf + 21065 395.566 * * [simplify]: Extracting #9: cost 120 inf + 40516 395.579 * * [simplify]: Extracting #10: cost 47 inf + 67026 395.594 * * [simplify]: Extracting #11: cost 12 inf + 86221 395.625 * * [simplify]: Extracting #12: cost 2 inf + 94231 395.643 * * [simplify]: Extracting #13: cost 0 inf + 97401 395.668 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 395.668 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 395.669 * * * * [progress]: [ 1145 / 4754 ] simplifiying candidate # 395.670 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 395.670 * * [simplify]: iters left: 6 (41 enodes) 395.693 * * [simplify]: iters left: 5 (200 enodes) 395.749 * * [simplify]: Extracting #0: cost 1 inf + 0 395.750 * * [simplify]: Extracting #1: cost 3 inf + 0 395.750 * * [simplify]: Extracting #2: cost 6 inf + 0 395.750 * * [simplify]: Extracting #3: cost 10 inf + 0 395.750 * * [simplify]: Extracting #4: cost 24 inf + 0 395.750 * * [simplify]: Extracting #5: cost 116 inf + 0 395.751 * * [simplify]: Extracting #6: cost 219 inf + 86 395.753 * * [simplify]: Extracting #7: cost 222 inf + 3878 395.757 * * [simplify]: Extracting #8: cost 156 inf + 13315 395.763 * * [simplify]: Extracting #9: cost 95 inf + 32787 395.772 * * [simplify]: Extracting #10: cost 28 inf + 57118 395.787 * * [simplify]: Extracting #11: cost 7 inf + 66694 395.800 * * [simplify]: Extracting #12: cost 1 inf + 73044 395.814 * * [simplify]: Extracting #13: cost 0 inf + 74109 395.838 * * [simplify]: Extracting #14: cost 0 inf + 74029 395.866 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 395.866 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 395.867 * * * * [progress]: [ 1146 / 4754 ] simplifiying candidate # 395.867 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 395.868 * * [simplify]: iters left: 6 (48 enodes) 395.892 * * [simplify]: iters left: 5 (240 enodes) 395.996 * * [simplify]: Extracting #0: cost 1 inf + 0 395.996 * * [simplify]: Extracting #1: cost 3 inf + 0 395.996 * * [simplify]: Extracting #2: cost 6 inf + 0 395.996 * * [simplify]: Extracting #3: cost 10 inf + 0 395.996 * * [simplify]: Extracting #4: cost 24 inf + 0 395.996 * * [simplify]: Extracting #5: cost 141 inf + 0 395.998 * * [simplify]: Extracting #6: cost 273 inf + 85 396.000 * * [simplify]: Extracting #7: cost 290 inf + 2698 396.007 * * [simplify]: Extracting #8: cost 189 inf + 21503 396.019 * * [simplify]: Extracting #9: cost 121 inf + 40944 396.038 * * [simplify]: Extracting #10: cost 47 inf + 67666 396.052 * * [simplify]: Extracting #11: cost 12 inf + 86861 396.069 * * [simplify]: Extracting #12: cost 2 inf + 94871 396.097 * * [simplify]: Extracting #13: cost 0 inf + 98041 396.131 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 396.132 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 396.133 * * * * [progress]: [ 1147 / 4754 ] simplifiying candidate # 396.133 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 396.133 * * [simplify]: iters left: 6 (42 enodes) 396.146 * * [simplify]: iters left: 5 (203 enodes) 396.214 * * [simplify]: Extracting #0: cost 1 inf + 0 396.214 * * [simplify]: Extracting #1: cost 3 inf + 0 396.214 * * [simplify]: Extracting #2: cost 6 inf + 0 396.214 * * [simplify]: Extracting #3: cost 10 inf + 0 396.214 * * [simplify]: Extracting #4: cost 24 inf + 0 396.215 * * [simplify]: Extracting #5: cost 116 inf + 0 396.216 * * [simplify]: Extracting #6: cost 220 inf + 86 396.218 * * [simplify]: Extracting #7: cost 228 inf + 3307 396.224 * * [simplify]: Extracting #8: cost 138 inf + 19317 396.242 * * [simplify]: Extracting #9: cost 35 inf + 56814 396.272 * * [simplify]: Extracting #10: cost 1 inf + 75861 396.287 * * [simplify]: Extracting #11: cost 0 inf + 75153 396.301 * * [simplify]: Extracting #12: cost 0 inf + 74713 396.315 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 396.315 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 396.316 * * * * [progress]: [ 1148 / 4754 ] simplifiying candidate # 396.316 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 396.317 * * [simplify]: iters left: 6 (49 enodes) 396.343 * * [simplify]: iters left: 5 (245 enodes) 396.412 * * [simplify]: Extracting #0: cost 1 inf + 0 396.412 * * [simplify]: Extracting #1: cost 3 inf + 0 396.412 * * [simplify]: Extracting #2: cost 6 inf + 0 396.412 * * [simplify]: Extracting #3: cost 10 inf + 0 396.412 * * [simplify]: Extracting #4: cost 20 inf + 0 396.413 * * [simplify]: Extracting #5: cost 125 inf + 0 396.413 * * [simplify]: Extracting #6: cost 271 inf + 86 396.415 * * [simplify]: Extracting #7: cost 310 inf + 2577 396.418 * * [simplify]: Extracting #8: cost 220 inf + 18498 396.426 * * [simplify]: Extracting #9: cost 133 inf + 45265 396.452 * * [simplify]: Extracting #10: cost 33 inf + 86713 396.493 * * [simplify]: Extracting #11: cost 3 inf + 107463 396.521 * * [simplify]: Extracting #12: cost 0 inf + 112098 396.545 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 396.545 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 396.546 * * * * [progress]: [ 1149 / 4754 ] simplifiying candidate # 396.547 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 396.547 * * [simplify]: iters left: 6 (49 enodes) 396.569 * * [simplify]: iters left: 5 (247 enodes) 396.640 * * [simplify]: Extracting #0: cost 1 inf + 0 396.640 * * [simplify]: Extracting #1: cost 3 inf + 0 396.640 * * [simplify]: Extracting #2: cost 6 inf + 0 396.640 * * [simplify]: Extracting #3: cost 10 inf + 0 396.641 * * [simplify]: Extracting #4: cost 20 inf + 0 396.641 * * [simplify]: Extracting #5: cost 126 inf + 0 396.641 * * [simplify]: Extracting #6: cost 283 inf + 86 396.643 * * [simplify]: Extracting #7: cost 315 inf + 3229 396.646 * * [simplify]: Extracting #8: cost 227 inf + 16783 396.653 * * [simplify]: Extracting #9: cost 139 inf + 45459 396.679 * * [simplify]: Extracting #10: cost 29 inf + 93829 396.715 * * [simplify]: Extracting #11: cost 5 inf + 105497 396.751 * * [simplify]: Extracting #12: cost 2 inf + 110292 396.790 * * [simplify]: Extracting #13: cost 0 inf + 113822 396.830 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 396.830 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 396.831 * * * * [progress]: [ 1150 / 4754 ] simplifiying candidate # 396.832 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 396.832 * * [simplify]: iters left: 6 (49 enodes) 396.858 * * [simplify]: iters left: 5 (247 enodes) 396.939 * * [simplify]: Extracting #0: cost 1 inf + 0 396.939 * * [simplify]: Extracting #1: cost 3 inf + 0 396.939 * * [simplify]: Extracting #2: cost 6 inf + 0 396.939 * * [simplify]: Extracting #3: cost 10 inf + 0 396.939 * * [simplify]: Extracting #4: cost 20 inf + 0 396.939 * * [simplify]: Extracting #5: cost 129 inf + 0 396.940 * * [simplify]: Extracting #6: cost 281 inf + 86 396.942 * * [simplify]: Extracting #7: cost 304 inf + 4356 396.952 * * [simplify]: Extracting #8: cost 175 inf + 33841 396.972 * * [simplify]: Extracting #9: cost 63 inf + 78205 396.991 * * [simplify]: Extracting #10: cost 13 inf + 100159 397.012 * * [simplify]: Extracting #11: cost 2 inf + 107232 397.034 * * [simplify]: Extracting #12: cost 0 inf + 110762 397.054 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 397.054 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 397.054 * * * * [progress]: [ 1151 / 4754 ] simplifiying candidate # 397.055 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 397.055 * * [simplify]: iters left: 6 (43 enodes) 397.066 * * [simplify]: iters left: 5 (211 enodes) 397.138 * * [simplify]: Extracting #0: cost 1 inf + 0 397.138 * * [simplify]: Extracting #1: cost 3 inf + 0 397.138 * * [simplify]: Extracting #2: cost 6 inf + 0 397.138 * * [simplify]: Extracting #3: cost 10 inf + 0 397.138 * * [simplify]: Extracting #4: cost 20 inf + 0 397.138 * * [simplify]: Extracting #5: cost 120 inf + 0 397.139 * * [simplify]: Extracting #6: cost 244 inf + 86 397.140 * * [simplify]: Extracting #7: cost 258 inf + 3263 397.142 * * [simplify]: Extracting #8: cost 188 inf + 14793 397.148 * * [simplify]: Extracting #9: cost 114 inf + 38137 397.161 * * [simplify]: Extracting #10: cost 18 inf + 75572 397.183 * * [simplify]: Extracting #11: cost 5 inf + 83696 397.213 * * [simplify]: Extracting #12: cost 0 inf + 89941 397.237 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 397.237 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 397.237 * * * * [progress]: [ 1152 / 4754 ] simplifiying candidate # 397.238 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 397.238 * * [simplify]: iters left: 6 (48 enodes) 397.250 * * [simplify]: iters left: 5 (241 enodes) 397.305 * * [simplify]: Extracting #0: cost 1 inf + 0 397.305 * * [simplify]: Extracting #1: cost 3 inf + 0 397.305 * * [simplify]: Extracting #2: cost 6 inf + 0 397.305 * * [simplify]: Extracting #3: cost 10 inf + 0 397.305 * * [simplify]: Extracting #4: cost 24 inf + 0 397.305 * * [simplify]: Extracting #5: cost 145 inf + 0 397.309 * * [simplify]: Extracting #6: cost 274 inf + 86 397.310 * * [simplify]: Extracting #7: cost 292 inf + 2578 397.313 * * [simplify]: Extracting #8: cost 194 inf + 22426 397.326 * * [simplify]: Extracting #9: cost 56 inf + 77646 397.358 * * [simplify]: Extracting #10: cost 9 inf + 95666 397.393 * * [simplify]: Extracting #11: cost 2 inf + 102144 397.414 * * [simplify]: Extracting #12: cost 0 inf + 105754 397.440 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 397.440 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 397.441 * * * * [progress]: [ 1153 / 4754 ] simplifiying candidate # 397.442 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 397.442 * * [simplify]: iters left: 6 (41 enodes) 397.463 * * [simplify]: iters left: 5 (203 enodes) 397.517 * * [simplify]: Extracting #0: cost 1 inf + 0 397.517 * * [simplify]: Extracting #1: cost 3 inf + 0 397.517 * * [simplify]: Extracting #2: cost 6 inf + 0 397.517 * * [simplify]: Extracting #3: cost 10 inf + 0 397.517 * * [simplify]: Extracting #4: cost 24 inf + 0 397.518 * * [simplify]: Extracting #5: cost 119 inf + 0 397.519 * * [simplify]: Extracting #6: cost 223 inf + 86 397.521 * * [simplify]: Extracting #7: cost 235 inf + 3059 397.530 * * [simplify]: Extracting #8: cost 154 inf + 19918 397.542 * * [simplify]: Extracting #9: cost 99 inf + 34601 397.556 * * [simplify]: Extracting #10: cost 24 inf + 65403 397.571 * * [simplify]: Extracting #11: cost 0 inf + 81600 397.586 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 397.586 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 397.586 * * * * [progress]: [ 1154 / 4754 ] simplifiying candidate # 397.587 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 397.587 * * [simplify]: iters left: 6 (48 enodes) 397.611 * * [simplify]: iters left: 5 (241 enodes) 397.678 * * [simplify]: Extracting #0: cost 1 inf + 0 397.678 * * [simplify]: Extracting #1: cost 3 inf + 0 397.678 * * [simplify]: Extracting #2: cost 6 inf + 0 397.678 * * [simplify]: Extracting #3: cost 10 inf + 0 397.678 * * [simplify]: Extracting #4: cost 24 inf + 0 397.678 * * [simplify]: Extracting #5: cost 145 inf + 0 397.680 * * [simplify]: Extracting #6: cost 274 inf + 86 397.682 * * [simplify]: Extracting #7: cost 292 inf + 2578 397.689 * * [simplify]: Extracting #8: cost 194 inf + 22426 397.712 * * [simplify]: Extracting #9: cost 57 inf + 77994 397.749 * * [simplify]: Extracting #10: cost 9 inf + 96306 397.776 * * [simplify]: Extracting #11: cost 2 inf + 102784 397.795 * * [simplify]: Extracting #12: cost 0 inf + 106394 397.827 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 397.828 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 397.829 * * * * [progress]: [ 1155 / 4754 ] simplifiying candidate # 397.829 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 397.830 * * [simplify]: iters left: 6 (42 enodes) 397.853 * * [simplify]: iters left: 5 (205 enodes) 397.944 * * [simplify]: Extracting #0: cost 1 inf + 0 397.944 * * [simplify]: Extracting #1: cost 3 inf + 0 397.944 * * [simplify]: Extracting #2: cost 6 inf + 0 397.944 * * [simplify]: Extracting #3: cost 10 inf + 0 397.944 * * [simplify]: Extracting #4: cost 24 inf + 0 397.945 * * [simplify]: Extracting #5: cost 119 inf + 0 397.946 * * [simplify]: Extracting #6: cost 224 inf + 86 397.948 * * [simplify]: Extracting #7: cost 239 inf + 2494 397.954 * * [simplify]: Extracting #8: cost 149 inf + 21023 397.972 * * [simplify]: Extracting #9: cost 42 inf + 60811 398.000 * * [simplify]: Extracting #10: cost 4 inf + 80330 398.034 * * [simplify]: Extracting #11: cost 0 inf + 82284 398.058 * * [simplify]: Extracting #12: cost 0 inf + 82244 398.074 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ lambda2 lambda1))))))) 398.074 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 398.074 * * * * [progress]: [ 1156 / 4754 ] simplifiying candidate # 398.075 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 398.075 * * [simplify]: iters left: 6 (49 enodes) 398.090 * * [simplify]: iters left: 5 (245 enodes) 398.200 * * [simplify]: Extracting #0: cost 1 inf + 0 398.200 * * [simplify]: Extracting #1: cost 3 inf + 0 398.200 * * [simplify]: Extracting #2: cost 6 inf + 0 398.200 * * [simplify]: Extracting #3: cost 10 inf + 0 398.200 * * [simplify]: Extracting #4: cost 20 inf + 0 398.201 * * [simplify]: Extracting #5: cost 122 inf + 0 398.202 * * [simplify]: Extracting #6: cost 274 inf + 86 398.204 * * [simplify]: Extracting #7: cost 304 inf + 3385 398.212 * * [simplify]: Extracting #8: cost 189 inf + 26354 398.235 * * [simplify]: Extracting #9: cost 64 inf + 73022 398.271 * * [simplify]: Extracting #10: cost 5 inf + 99726 398.305 * * [simplify]: Extracting #11: cost 0 inf + 104305 398.324 * * [simplify]: Extracting #12: cost 0 inf + 104225 398.361 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))))) 398.361 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 398.362 * * * * [progress]: [ 1157 / 4754 ] simplifiying candidate # 398.362 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 398.363 * * [simplify]: iters left: 6 (49 enodes) 398.387 * * [simplify]: iters left: 5 (247 enodes) 398.465 * * [simplify]: Extracting #0: cost 1 inf + 0 398.465 * * [simplify]: Extracting #1: cost 3 inf + 0 398.465 * * [simplify]: Extracting #2: cost 6 inf + 0 398.466 * * [simplify]: Extracting #3: cost 10 inf + 0 398.466 * * [simplify]: Extracting #4: cost 20 inf + 0 398.466 * * [simplify]: Extracting #5: cost 123 inf + 0 398.467 * * [simplify]: Extracting #6: cost 285 inf + 86 398.470 * * [simplify]: Extracting #7: cost 303 inf + 5689 398.480 * * [simplify]: Extracting #8: cost 171 inf + 34715 398.506 * * [simplify]: Extracting #9: cost 44 inf + 83240 398.544 * * [simplify]: Extracting #10: cost 3 inf + 101643 398.581 * * [simplify]: Extracting #11: cost 0 inf + 105025 398.616 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 398.616 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 398.617 * * * * [progress]: [ 1158 / 4754 ] simplifiying candidate # 398.618 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 398.618 * * [simplify]: iters left: 6 (49 enodes) 398.641 * * [simplify]: iters left: 5 (247 enodes) 398.706 * * [simplify]: Extracting #0: cost 1 inf + 0 398.706 * * [simplify]: Extracting #1: cost 3 inf + 0 398.706 * * [simplify]: Extracting #2: cost 6 inf + 0 398.706 * * [simplify]: Extracting #3: cost 10 inf + 0 398.706 * * [simplify]: Extracting #4: cost 20 inf + 0 398.706 * * [simplify]: Extracting #5: cost 126 inf + 0 398.707 * * [simplify]: Extracting #6: cost 283 inf + 86 398.708 * * [simplify]: Extracting #7: cost 302 inf + 3669 398.713 * * [simplify]: Extracting #8: cost 185 inf + 26936 398.725 * * [simplify]: Extracting #9: cost 56 inf + 75232 398.746 * * [simplify]: Extracting #10: cost 6 inf + 98003 398.765 * * [simplify]: Extracting #11: cost 0 inf + 102565 398.804 * * [simplify]: Extracting #12: cost 0 inf + 102005 398.841 * * [simplify]: Extracting #13: cost 0 inf + 101925 398.869 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 398.869 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 398.870 * * * * [progress]: [ 1159 / 4754 ] simplifiying candidate # 398.870 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 398.870 * * [simplify]: iters left: 6 (43 enodes) 398.886 * * [simplify]: iters left: 5 (211 enodes) 398.933 * * [simplify]: Extracting #0: cost 1 inf + 0 398.934 * * [simplify]: Extracting #1: cost 3 inf + 0 398.934 * * [simplify]: Extracting #2: cost 6 inf + 0 398.934 * * [simplify]: Extracting #3: cost 10 inf + 0 398.934 * * [simplify]: Extracting #4: cost 20 inf + 0 398.934 * * [simplify]: Extracting #5: cost 117 inf + 0 398.935 * * [simplify]: Extracting #6: cost 246 inf + 86 398.937 * * [simplify]: Extracting #7: cost 248 inf + 4482 398.944 * * [simplify]: Extracting #8: cost 152 inf + 21987 398.968 * * [simplify]: Extracting #9: cost 35 inf + 64922 398.994 * * [simplify]: Extracting #10: cost 10 inf + 75040 399.018 * * [simplify]: Extracting #11: cost 2 inf + 80894 399.033 * * [simplify]: Extracting #12: cost 0 inf + 83064 399.056 * * [simplify]: Extracting #13: cost 0 inf + 82984 399.085 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 399.085 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 399.086 * * * * [progress]: [ 1160 / 4754 ] simplifiying candidate # 399.087 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 399.087 * * [simplify]: iters left: 6 (48 enodes) 399.115 * * [simplify]: iters left: 5 (241 enodes) 399.190 * * [simplify]: Extracting #0: cost 1 inf + 0 399.190 * * [simplify]: Extracting #1: cost 3 inf + 0 399.191 * * [simplify]: Extracting #2: cost 6 inf + 0 399.191 * * [simplify]: Extracting #3: cost 10 inf + 0 399.191 * * [simplify]: Extracting #4: cost 24 inf + 0 399.191 * * [simplify]: Extracting #5: cost 142 inf + 0 399.192 * * [simplify]: Extracting #6: cost 277 inf + 86 399.194 * * [simplify]: Extracting #7: cost 289 inf + 2659 399.200 * * [simplify]: Extracting #8: cost 208 inf + 16415 399.205 * * [simplify]: Extracting #9: cost 135 inf + 37070 399.218 * * [simplify]: Extracting #10: cost 29 inf + 78238 399.247 * * [simplify]: Extracting #11: cost 6 inf + 88571 399.269 * * [simplify]: Extracting #12: cost 1 inf + 95576 399.290 * * [simplify]: Extracting #13: cost 0 inf + 97361 399.327 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 399.327 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 399.328 * * * * [progress]: [ 1161 / 4754 ] simplifiying candidate # 399.329 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 399.329 * * [simplify]: iters left: 6 (41 enodes) 399.350 * * [simplify]: iters left: 5 (202 enodes) 399.416 * * [simplify]: Extracting #0: cost 1 inf + 0 399.416 * * [simplify]: Extracting #1: cost 3 inf + 0 399.416 * * [simplify]: Extracting #2: cost 6 inf + 0 399.416 * * [simplify]: Extracting #3: cost 10 inf + 0 399.416 * * [simplify]: Extracting #4: cost 24 inf + 0 399.416 * * [simplify]: Extracting #5: cost 120 inf + 0 399.417 * * [simplify]: Extracting #6: cost 228 inf + 86 399.418 * * [simplify]: Extracting #7: cost 229 inf + 4073 399.425 * * [simplify]: Extracting #8: cost 151 inf + 17954 399.436 * * [simplify]: Extracting #9: cost 95 inf + 34562 399.446 * * [simplify]: Extracting #10: cost 23 inf + 62664 399.459 * * [simplify]: Extracting #11: cost 5 inf + 70448 399.478 * * [simplify]: Extracting #12: cost 1 inf + 74708 399.506 * * [simplify]: Extracting #13: cost 0 inf + 75973 399.534 * * [simplify]: Extracting #14: cost 0 inf + 75893 399.562 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 399.562 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 399.563 * * * * [progress]: [ 1162 / 4754 ] simplifiying candidate # 399.564 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 399.564 * * [simplify]: iters left: 6 (48 enodes) 399.590 * * [simplify]: iters left: 5 (241 enodes) 399.676 * * [simplify]: Extracting #0: cost 1 inf + 0 399.677 * * [simplify]: Extracting #1: cost 3 inf + 0 399.677 * * [simplify]: Extracting #2: cost 6 inf + 0 399.677 * * [simplify]: Extracting #3: cost 10 inf + 0 399.677 * * [simplify]: Extracting #4: cost 24 inf + 0 399.677 * * [simplify]: Extracting #5: cost 142 inf + 0 399.679 * * [simplify]: Extracting #6: cost 277 inf + 86 399.681 * * [simplify]: Extracting #7: cost 288 inf + 2783 399.687 * * [simplify]: Extracting #8: cost 213 inf + 15316 399.698 * * [simplify]: Extracting #9: cost 140 inf + 36002 399.720 * * [simplify]: Extracting #10: cost 29 inf + 78878 399.736 * * [simplify]: Extracting #11: cost 6 inf + 89211 399.760 * * [simplify]: Extracting #12: cost 1 inf + 96216 399.788 * * [simplify]: Extracting #13: cost 0 inf + 98001 399.807 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 399.807 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 399.808 * * * * [progress]: [ 1163 / 4754 ] simplifiying candidate # 399.808 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 399.809 * * [simplify]: iters left: 6 (42 enodes) 399.829 * * [simplify]: iters left: 5 (205 enodes) 399.906 * * [simplify]: Extracting #0: cost 1 inf + 0 399.906 * * [simplify]: Extracting #1: cost 3 inf + 0 399.906 * * [simplify]: Extracting #2: cost 6 inf + 0 399.907 * * [simplify]: Extracting #3: cost 10 inf + 0 399.907 * * [simplify]: Extracting #4: cost 24 inf + 0 399.907 * * [simplify]: Extracting #5: cost 120 inf + 0 399.907 * * [simplify]: Extracting #6: cost 229 inf + 86 399.909 * * [simplify]: Extracting #7: cost 231 inf + 4157 399.912 * * [simplify]: Extracting #8: cost 148 inf + 19978 399.917 * * [simplify]: Extracting #9: cost 99 inf + 32249 399.935 * * [simplify]: Extracting #10: cost 23 inf + 62028 399.961 * * [simplify]: Extracting #11: cost 6 inf + 69307 399.985 * * [simplify]: Extracting #12: cost 1 inf + 75832 400.000 * * [simplify]: Extracting #13: cost 0 inf + 76817 400.020 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 400.020 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 400.021 * * * * [progress]: [ 1164 / 4754 ] simplifiying candidate # 400.023 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 400.024 * * [simplify]: iters left: 6 (42 enodes) 400.044 * * [simplify]: iters left: 5 (210 enodes) 400.137 * * [simplify]: Extracting #0: cost 1 inf + 0 400.137 * * [simplify]: Extracting #1: cost 3 inf + 0 400.137 * * [simplify]: Extracting #2: cost 6 inf + 0 400.138 * * [simplify]: Extracting #3: cost 10 inf + 0 400.138 * * [simplify]: Extracting #4: cost 20 inf + 0 400.138 * * [simplify]: Extracting #5: cost 114 inf + 0 400.139 * * [simplify]: Extracting #6: cost 240 inf + 341 400.141 * * [simplify]: Extracting #7: cost 237 inf + 6415 400.149 * * [simplify]: Extracting #8: cost 126 inf + 29484 400.171 * * [simplify]: Extracting #9: cost 35 inf + 59555 400.195 * * [simplify]: Extracting #10: cost 6 inf + 72244 400.210 * * [simplify]: Extracting #11: cost 1 inf + 77569 400.225 * * [simplify]: Extracting #12: cost 0 inf + 78874 400.240 * * [simplify]: Extracting #13: cost 0 inf + 78834 400.254 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 400.254 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 400.255 * * * * [progress]: [ 1165 / 4754 ] simplifiying candidate # 400.255 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 400.256 * * [simplify]: iters left: 6 (42 enodes) 400.271 * * [simplify]: iters left: 5 (208 enodes) 400.328 * * [simplify]: Extracting #0: cost 1 inf + 0 400.328 * * [simplify]: Extracting #1: cost 3 inf + 0 400.328 * * [simplify]: Extracting #2: cost 6 inf + 0 400.328 * * [simplify]: Extracting #3: cost 10 inf + 0 400.328 * * [simplify]: Extracting #4: cost 23 inf + 0 400.328 * * [simplify]: Extracting #5: cost 121 inf + 0 400.329 * * [simplify]: Extracting #6: cost 242 inf + 86 400.330 * * [simplify]: Extracting #7: cost 235 inf + 6759 400.335 * * [simplify]: Extracting #8: cost 122 inf + 28933 400.345 * * [simplify]: Extracting #9: cost 28 inf + 63139 400.364 * * [simplify]: Extracting #10: cost 1 inf + 75854 400.392 * * [simplify]: Extracting #11: cost 0 inf + 76159 400.418 * * [simplify]: Extracting #12: cost 0 inf + 76119 400.443 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 400.443 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 400.444 * * * * [progress]: [ 1166 / 4754 ] simplifiying candidate # 400.444 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 400.445 * * [simplify]: iters left: 6 (47 enodes) 400.470 * * [simplify]: iters left: 5 (248 enodes) 400.570 * * [simplify]: Extracting #0: cost 1 inf + 0 400.570 * * [simplify]: Extracting #1: cost 3 inf + 0 400.570 * * [simplify]: Extracting #2: cost 6 inf + 0 400.570 * * [simplify]: Extracting #3: cost 10 inf + 0 400.570 * * [simplify]: Extracting #4: cost 20 inf + 0 400.570 * * [simplify]: Extracting #5: cost 134 inf + 0 400.571 * * [simplify]: Extracting #6: cost 296 inf + 1 400.572 * * [simplify]: Extracting #7: cost 361 inf + 783 400.579 * * [simplify]: Extracting #8: cost 219 inf + 39741 400.611 * * [simplify]: Extracting #9: cost 57 inf + 102860 400.642 * * [simplify]: Extracting #10: cost 6 inf + 125888 400.665 * * [simplify]: Extracting #11: cost 0 inf + 132244 400.689 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 400.689 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 400.690 * * * * [progress]: [ 1167 / 4754 ] simplifiying candidate # 400.690 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 400.691 * * [simplify]: iters left: 6 (48 enodes) 400.712 * * [simplify]: iters left: 5 (252 enodes) 400.794 * * [simplify]: Extracting #0: cost 1 inf + 0 400.794 * * [simplify]: Extracting #1: cost 3 inf + 0 400.795 * * [simplify]: Extracting #2: cost 6 inf + 0 400.795 * * [simplify]: Extracting #3: cost 10 inf + 0 400.795 * * [simplify]: Extracting #4: cost 20 inf + 0 400.795 * * [simplify]: Extracting #5: cost 133 inf + 0 400.796 * * [simplify]: Extracting #6: cost 302 inf + 1 400.799 * * [simplify]: Extracting #7: cost 360 inf + 1191 400.809 * * [simplify]: Extracting #8: cost 192 inf + 43917 400.827 * * [simplify]: Extracting #9: cost 37 inf + 106997 400.868 * * [simplify]: Extracting #10: cost 0 inf + 129325 400.908 * * [simplify]: Extracting #11: cost 0 inf + 128965 400.936 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 400.936 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 400.937 * * * * [progress]: [ 1168 / 4754 ] simplifiying candidate # 400.938 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 400.938 * * [simplify]: iters left: 6 (48 enodes) 400.964 * * [simplify]: iters left: 5 (252 enodes) 401.046 * * [simplify]: Extracting #0: cost 1 inf + 0 401.047 * * [simplify]: Extracting #1: cost 3 inf + 0 401.047 * * [simplify]: Extracting #2: cost 6 inf + 0 401.047 * * [simplify]: Extracting #3: cost 10 inf + 0 401.047 * * [simplify]: Extracting #4: cost 20 inf + 0 401.047 * * [simplify]: Extracting #5: cost 136 inf + 0 401.048 * * [simplify]: Extracting #6: cost 303 inf + 1 401.051 * * [simplify]: Extracting #7: cost 362 inf + 457 401.059 * * [simplify]: Extracting #8: cost 218 inf + 35038 401.075 * * [simplify]: Extracting #9: cost 58 inf + 96064 401.103 * * [simplify]: Extracting #10: cost 3 inf + 124127 401.144 * * [simplify]: Extracting #11: cost 0 inf + 126176 401.184 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 401.184 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 401.185 * * * * [progress]: [ 1169 / 4754 ] simplifiying candidate # 401.186 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 401.186 * * [simplify]: iters left: 6 (48 enodes) 401.210 * * [simplify]: iters left: 5 (254 enodes) 401.313 * * [simplify]: Extracting #0: cost 1 inf + 0 401.313 * * [simplify]: Extracting #1: cost 3 inf + 0 401.313 * * [simplify]: Extracting #2: cost 6 inf + 0 401.313 * * [simplify]: Extracting #3: cost 10 inf + 0 401.313 * * [simplify]: Extracting #4: cost 20 inf + 0 401.313 * * [simplify]: Extracting #5: cost 138 inf + 0 401.314 * * [simplify]: Extracting #6: cost 296 inf + 44 401.315 * * [simplify]: Extracting #7: cost 331 inf + 2211 401.318 * * [simplify]: Extracting #8: cost 268 inf + 11948 401.325 * * [simplify]: Extracting #9: cost 154 inf + 46449 401.356 * * [simplify]: Extracting #10: cost 29 inf + 102677 401.380 * * [simplify]: Extracting #11: cost 2 inf + 118013 401.407 * * [simplify]: Extracting #12: cost 0 inf + 121303 401.448 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 401.448 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 401.449 * * * * [progress]: [ 1170 / 4754 ] simplifiying candidate # 401.450 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 401.450 * * [simplify]: iters left: 6 (46 enodes) 401.474 * * [simplify]: iters left: 5 (238 enodes) 401.549 * * [simplify]: Extracting #0: cost 1 inf + 0 401.549 * * [simplify]: Extracting #1: cost 3 inf + 0 401.549 * * [simplify]: Extracting #2: cost 6 inf + 0 401.549 * * [simplify]: Extracting #3: cost 10 inf + 0 401.549 * * [simplify]: Extracting #4: cost 24 inf + 0 401.549 * * [simplify]: Extracting #5: cost 136 inf + 0 401.550 * * [simplify]: Extracting #6: cost 266 inf + 1 401.551 * * [simplify]: Extracting #7: cost 314 inf + 701 401.555 * * [simplify]: Extracting #8: cost 210 inf + 24409 401.569 * * [simplify]: Extracting #9: cost 55 inf + 85423 401.602 * * [simplify]: Extracting #10: cost 11 inf + 105207 401.623 * * [simplify]: Extracting #11: cost 1 inf + 113464 401.647 * * [simplify]: Extracting #12: cost 0 inf + 115049 401.689 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 401.689 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 401.690 * * * * [progress]: [ 1171 / 4754 ] simplifiying candidate # 401.691 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 401.691 * * [simplify]: iters left: 6 (47 enodes) 401.719 * * [simplify]: iters left: 5 (246 enodes) 401.795 * * [simplify]: Extracting #0: cost 1 inf + 0 401.795 * * [simplify]: Extracting #1: cost 3 inf + 0 401.795 * * [simplify]: Extracting #2: cost 6 inf + 0 401.795 * * [simplify]: Extracting #3: cost 10 inf + 0 401.795 * * [simplify]: Extracting #4: cost 24 inf + 0 401.795 * * [simplify]: Extracting #5: cost 144 inf + 0 401.796 * * [simplify]: Extracting #6: cost 284 inf + 44 401.798 * * [simplify]: Extracting #7: cost 319 inf + 2087 401.806 * * [simplify]: Extracting #8: cost 226 inf + 23511 401.834 * * [simplify]: Extracting #9: cost 61 inf + 78605 401.871 * * [simplify]: Extracting #10: cost 8 inf + 103962 401.892 * * [simplify]: Extracting #11: cost 0 inf + 111934 401.923 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 401.923 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 401.925 * * * * [progress]: [ 1172 / 4754 ] simplifiying candidate # 401.925 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 401.926 * * [simplify]: iters left: 6 (45 enodes) 401.951 * * [simplify]: iters left: 5 (236 enodes) 402.032 * * [simplify]: Extracting #0: cost 1 inf + 0 402.032 * * [simplify]: Extracting #1: cost 3 inf + 0 402.033 * * [simplify]: Extracting #2: cost 6 inf + 0 402.033 * * [simplify]: Extracting #3: cost 10 inf + 0 402.033 * * [simplify]: Extracting #4: cost 24 inf + 0 402.033 * * [simplify]: Extracting #5: cost 135 inf + 0 402.034 * * [simplify]: Extracting #6: cost 265 inf + 1 402.036 * * [simplify]: Extracting #7: cost 313 inf + 984 402.044 * * [simplify]: Extracting #8: cost 223 inf + 19843 402.060 * * [simplify]: Extracting #9: cost 65 inf + 79338 402.092 * * [simplify]: Extracting #10: cost 3 inf + 113505 402.113 * * [simplify]: Extracting #11: cost 0 inf + 115685 402.151 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 402.151 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 402.152 * * * * [progress]: [ 1173 / 4754 ] simplifiying candidate # 402.153 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 402.153 * * [simplify]: iters left: 6 (47 enodes) 402.182 * * [simplify]: iters left: 5 (246 enodes) 402.297 * * [simplify]: Extracting #0: cost 1 inf + 0 402.297 * * [simplify]: Extracting #1: cost 3 inf + 0 402.297 * * [simplify]: Extracting #2: cost 6 inf + 0 402.297 * * [simplify]: Extracting #3: cost 10 inf + 0 402.297 * * [simplify]: Extracting #4: cost 24 inf + 0 402.298 * * [simplify]: Extracting #5: cost 143 inf + 0 402.299 * * [simplify]: Extracting #6: cost 284 inf + 44 402.302 * * [simplify]: Extracting #7: cost 319 inf + 2087 402.307 * * [simplify]: Extracting #8: cost 258 inf + 11225 402.325 * * [simplify]: Extracting #9: cost 133 inf + 47266 402.342 * * [simplify]: Extracting #10: cost 14 inf + 101732 402.368 * * [simplify]: Extracting #11: cost 0 inf + 112454 402.405 * * [simplify]: Extracting #12: cost 0 inf + 112174 402.444 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 402.444 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 402.445 * * * * [progress]: [ 1174 / 4754 ] simplifiying candidate # 402.445 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 402.446 * * [simplify]: iters left: 6 (45 enodes) 402.471 * * [simplify]: iters left: 5 (223 enodes) 402.538 * * [simplify]: Extracting #0: cost 1 inf + 0 402.539 * * [simplify]: Extracting #1: cost 3 inf + 0 402.539 * * [simplify]: Extracting #2: cost 6 inf + 0 402.539 * * [simplify]: Extracting #3: cost 10 inf + 0 402.539 * * [simplify]: Extracting #4: cost 20 inf + 0 402.539 * * [simplify]: Extracting #5: cost 124 inf + 0 402.539 * * [simplify]: Extracting #6: cost 241 inf + 1 402.540 * * [simplify]: Extracting #7: cost 287 inf + 1109 402.543 * * [simplify]: Extracting #8: cost 208 inf + 13678 402.551 * * [simplify]: Extracting #9: cost 119 inf + 42867 402.565 * * [simplify]: Extracting #10: cost 33 inf + 81857 402.596 * * [simplify]: Extracting #11: cost 3 inf + 104892 402.634 * * [simplify]: Extracting #12: cost 0 inf + 109487 402.673 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 402.673 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 402.674 * * * * [progress]: [ 1175 / 4754 ] simplifiying candidate # 402.675 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 402.675 * * [simplify]: iters left: 6 (46 enodes) 402.701 * * [simplify]: iters left: 5 (231 enodes) 402.791 * * [simplify]: Extracting #0: cost 1 inf + 0 402.792 * * [simplify]: Extracting #1: cost 3 inf + 0 402.792 * * [simplify]: Extracting #2: cost 6 inf + 0 402.792 * * [simplify]: Extracting #3: cost 10 inf + 0 402.792 * * [simplify]: Extracting #4: cost 20 inf + 0 402.792 * * [simplify]: Extracting #5: cost 127 inf + 0 402.792 * * [simplify]: Extracting #6: cost 261 inf + 1 402.793 * * [simplify]: Extracting #7: cost 304 inf + 1108 402.797 * * [simplify]: Extracting #8: cost 199 inf + 18413 402.808 * * [simplify]: Extracting #9: cost 106 inf + 51852 402.824 * * [simplify]: Extracting #10: cost 16 inf + 96124 402.848 * * [simplify]: Extracting #11: cost 2 inf + 107216 402.870 * * [simplify]: Extracting #12: cost 0 inf + 110586 402.893 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 402.893 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 402.894 * * * * [progress]: [ 1176 / 4754 ] simplifiying candidate # 402.895 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 402.895 * * [simplify]: iters left: 6 (46 enodes) 402.922 * * [simplify]: iters left: 5 (233 enodes) 403.015 * * [simplify]: Extracting #0: cost 1 inf + 0 403.015 * * [simplify]: Extracting #1: cost 3 inf + 0 403.015 * * [simplify]: Extracting #2: cost 6 inf + 0 403.015 * * [simplify]: Extracting #3: cost 10 inf + 0 403.015 * * [simplify]: Extracting #4: cost 20 inf + 0 403.015 * * [simplify]: Extracting #5: cost 128 inf + 0 403.016 * * [simplify]: Extracting #6: cost 275 inf + 1 403.018 * * [simplify]: Extracting #7: cost 310 inf + 1152 403.028 * * [simplify]: Extracting #8: cost 175 inf + 32332 403.041 * * [simplify]: Extracting #9: cost 61 inf + 78779 403.067 * * [simplify]: Extracting #10: cost 9 inf + 106960 403.105 * * [simplify]: Extracting #11: cost 0 inf + 114613 403.140 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 403.140 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 403.141 * * * * [progress]: [ 1177 / 4754 ] simplifiying candidate # 403.141 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 403.142 * * [simplify]: iters left: 6 (46 enodes) 403.166 * * [simplify]: iters left: 5 (231 enodes) 403.227 * * [simplify]: Extracting #0: cost 1 inf + 0 403.227 * * [simplify]: Extracting #1: cost 3 inf + 0 403.227 * * [simplify]: Extracting #2: cost 6 inf + 0 403.227 * * [simplify]: Extracting #3: cost 10 inf + 0 403.227 * * [simplify]: Extracting #4: cost 22 inf + 0 403.228 * * [simplify]: Extracting #5: cost 127 inf + 0 403.228 * * [simplify]: Extracting #6: cost 254 inf + 44 403.229 * * [simplify]: Extracting #7: cost 272 inf + 2454 403.233 * * [simplify]: Extracting #8: cost 191 inf + 19016 403.251 * * [simplify]: Extracting #9: cost 110 inf + 45676 403.269 * * [simplify]: Extracting #10: cost 20 inf + 87347 403.287 * * [simplify]: Extracting #11: cost 3 inf + 99426 403.314 * * [simplify]: Extracting #12: cost 0 inf + 103901 403.333 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) 403.333 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 403.334 * * * * [progress]: [ 1178 / 4754 ] simplifiying candidate # 403.334 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 403.335 * * [simplify]: iters left: 6 (43 enodes) 403.357 * * [simplify]: iters left: 5 (206 enodes) 403.415 * * [simplify]: Extracting #0: cost 1 inf + 0 403.415 * * [simplify]: Extracting #1: cost 4 inf + 0 403.415 * * [simplify]: Extracting #2: cost 7 inf + 0 403.415 * * [simplify]: Extracting #3: cost 14 inf + 0 403.416 * * [simplify]: Extracting #4: cost 86 inf + 0 403.416 * * [simplify]: Extracting #5: cost 189 inf + 42 403.418 * * [simplify]: Extracting #6: cost 219 inf + 946 403.422 * * [simplify]: Extracting #7: cost 156 inf + 11692 403.429 * * [simplify]: Extracting #8: cost 87 inf + 33956 403.440 * * [simplify]: Extracting #9: cost 5 inf + 71995 403.460 * * [simplify]: Extracting #10: cost 0 inf + 75423 403.485 * * [simplify]: Extracting #11: cost 0 inf + 75343 403.502 * [simplify]: Simplified to (fabs (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 403.502 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 403.502 * * * * [progress]: [ 1179 / 4754 ] simplifiying candidate # 403.503 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 403.503 * * [simplify]: iters left: 6 (45 enodes) 403.515 * * [simplify]: iters left: 5 (227 enodes) 403.606 * * [simplify]: Extracting #0: cost 1 inf + 0 403.606 * * [simplify]: Extracting #1: cost 3 inf + 0 403.606 * * [simplify]: Extracting #2: cost 6 inf + 0 403.606 * * [simplify]: Extracting #3: cost 10 inf + 0 403.606 * * [simplify]: Extracting #4: cost 24 inf + 0 403.606 * * [simplify]: Extracting #5: cost 136 inf + 0 403.607 * * [simplify]: Extracting #6: cost 257 inf + 44 403.608 * * [simplify]: Extracting #7: cost 279 inf + 1805 403.612 * * [simplify]: Extracting #8: cost 161 inf + 31183 403.625 * * [simplify]: Extracting #9: cost 50 inf + 72897 403.648 * * [simplify]: Extracting #10: cost 6 inf + 97823 403.687 * * [simplify]: Extracting #11: cost 0 inf + 101263 403.721 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 403.721 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 403.722 * * * * [progress]: [ 1180 / 4754 ] simplifiying candidate # 403.723 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 403.723 * * [simplify]: iters left: 6 (39 enodes) 403.744 * * [simplify]: iters left: 5 (190 enodes) 403.788 * * [simplify]: Extracting #0: cost 1 inf + 0 403.788 * * [simplify]: Extracting #1: cost 4 inf + 0 403.788 * * [simplify]: Extracting #2: cost 7 inf + 0 403.788 * * [simplify]: Extracting #3: cost 14 inf + 0 403.788 * * [simplify]: Extracting #4: cost 82 inf + 0 403.788 * * [simplify]: Extracting #5: cost 180 inf + 1 403.789 * * [simplify]: Extracting #6: cost 209 inf + 1069 403.792 * * [simplify]: Extracting #7: cost 140 inf + 19254 403.807 * * [simplify]: Extracting #8: cost 45 inf + 57403 403.820 * * [simplify]: Extracting #9: cost 2 inf + 74796 403.833 * * [simplify]: Extracting #10: cost 0 inf + 74608 403.855 * * [simplify]: Extracting #11: cost 0 inf + 74227 403.880 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 403.881 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 403.882 * * * * [progress]: [ 1181 / 4754 ] simplifiying candidate # 403.882 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 403.883 * * [simplify]: iters left: 6 (45 enodes) 403.905 * * [simplify]: iters left: 5 (227 enodes) 403.979 * * [simplify]: Extracting #0: cost 1 inf + 0 403.979 * * [simplify]: Extracting #1: cost 3 inf + 0 403.979 * * [simplify]: Extracting #2: cost 6 inf + 0 403.979 * * [simplify]: Extracting #3: cost 10 inf + 0 403.979 * * [simplify]: Extracting #4: cost 24 inf + 0 403.980 * * [simplify]: Extracting #5: cost 135 inf + 0 403.981 * * [simplify]: Extracting #6: cost 257 inf + 44 403.982 * * [simplify]: Extracting #7: cost 277 inf + 2209 403.987 * * [simplify]: Extracting #8: cost 151 inf + 33508 403.999 * * [simplify]: Extracting #9: cost 48 inf + 73983 404.037 * * [simplify]: Extracting #10: cost 6 inf + 97983 404.055 * * [simplify]: Extracting #11: cost 0 inf + 101423 404.077 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 404.077 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 404.078 * * * * [progress]: [ 1182 / 4754 ] simplifiying candidate # 404.079 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 404.079 * * [simplify]: iters left: 6 (47 enodes) 404.093 * * [simplify]: iters left: 5 (239 enodes) 404.166 * * [simplify]: Extracting #0: cost 1 inf + 0 404.166 * * [simplify]: Extracting #1: cost 3 inf + 0 404.166 * * [simplify]: Extracting #2: cost 6 inf + 0 404.166 * * [simplify]: Extracting #3: cost 10 inf + 0 404.166 * * [simplify]: Extracting #4: cost 24 inf + 0 404.166 * * [simplify]: Extracting #5: cost 165 inf + 0 404.168 * * [simplify]: Extracting #6: cost 289 inf + 1 404.170 * * [simplify]: Extracting #7: cost 344 inf + 701 404.175 * * [simplify]: Extracting #8: cost 240 inf + 18357 404.186 * * [simplify]: Extracting #9: cost 133 inf + 67520 404.212 * * [simplify]: Extracting #10: cost 15 inf + 128431 404.243 * * [simplify]: Extracting #11: cost 1 inf + 138344 404.277 * * [simplify]: Extracting #12: cost 0 inf + 139929 404.324 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 404.324 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 404.325 * * * * [progress]: [ 1183 / 4754 ] simplifiying candidate # 404.325 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 404.326 * * [simplify]: iters left: 6 (48 enodes) 404.339 * * [simplify]: iters left: 5 (247 enodes) 404.427 * * [simplify]: Extracting #0: cost 1 inf + 0 404.427 * * [simplify]: Extracting #1: cost 3 inf + 0 404.427 * * [simplify]: Extracting #2: cost 6 inf + 0 404.427 * * [simplify]: Extracting #3: cost 10 inf + 0 404.427 * * [simplify]: Extracting #4: cost 24 inf + 0 404.428 * * [simplify]: Extracting #5: cost 167 inf + 0 404.429 * * [simplify]: Extracting #6: cost 304 inf + 1 404.432 * * [simplify]: Extracting #7: cost 347 inf + 1515 404.445 * * [simplify]: Extracting #8: cost 191 inf + 47098 404.481 * * [simplify]: Extracting #9: cost 46 inf + 109172 404.511 * * [simplify]: Extracting #10: cost 2 inf + 132002 404.544 * * [simplify]: Extracting #11: cost 1 inf + 133147 404.572 * * [simplify]: Extracting #12: cost 0 inf + 134852 404.604 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 404.604 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 404.605 * * * * [progress]: [ 1184 / 4754 ] simplifiying candidate # 404.605 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 404.606 * * [simplify]: iters left: 6 (48 enodes) 404.622 * * [simplify]: iters left: 5 (247 enodes) 404.697 * * [simplify]: Extracting #0: cost 1 inf + 0 404.698 * * [simplify]: Extracting #1: cost 3 inf + 0 404.698 * * [simplify]: Extracting #2: cost 6 inf + 0 404.698 * * [simplify]: Extracting #3: cost 10 inf + 0 404.698 * * [simplify]: Extracting #4: cost 24 inf + 0 404.698 * * [simplify]: Extracting #5: cost 168 inf + 0 404.700 * * [simplify]: Extracting #6: cost 321 inf + 1 404.702 * * [simplify]: Extracting #7: cost 362 inf + 1389 404.714 * * [simplify]: Extracting #8: cost 215 inf + 40853 404.760 * * [simplify]: Extracting #9: cost 37 inf + 120571 404.789 * * [simplify]: Extracting #10: cost 9 inf + 130960 404.834 * * [simplify]: Extracting #11: cost 2 inf + 136683 404.883 * * [simplify]: Extracting #12: cost 0 inf + 140093 404.921 * * [simplify]: Extracting #13: cost 0 inf + 139853 404.957 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 404.957 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (+ lambda2 lambda1) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 404.958 * * * * [progress]: [ 1185 / 4754 ] simplifiying candidate # 404.959 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 404.959 * * [simplify]: iters left: 6 (48 enodes) 404.978 * * [simplify]: iters left: 5 (245 enodes) 405.068 * * [simplify]: Extracting #0: cost 1 inf + 0 405.068 * * [simplify]: Extracting #1: cost 3 inf + 0 405.068 * * [simplify]: Extracting #2: cost 6 inf + 0 405.068 * * [simplify]: Extracting #3: cost 10 inf + 0 405.068 * * [simplify]: Extracting #4: cost 24 inf + 0 405.069 * * [simplify]: Extracting #5: cost 164 inf + 0 405.069 * * [simplify]: Extracting #6: cost 298 inf + 44 405.071 * * [simplify]: Extracting #7: cost 325 inf + 2086 405.075 * * [simplify]: Extracting #8: cost 218 inf + 27097 405.091 * * [simplify]: Extracting #9: cost 89 inf + 77632 405.128 * * [simplify]: Extracting #10: cost 11 inf + 119965 405.152 * * [simplify]: Extracting #11: cost 0 inf + 125971 405.189 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 405.189 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 405.190 * * * * [progress]: [ 1186 / 4754 ] simplifiying candidate # 405.191 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 405.191 * * [simplify]: iters left: 6 (46 enodes) 405.215 * * [simplify]: iters left: 5 (232 enodes) 405.271 * * [simplify]: Extracting #0: cost 1 inf + 0 405.271 * * [simplify]: Extracting #1: cost 3 inf + 0 405.271 * * [simplify]: Extracting #2: cost 5 inf + 0 405.271 * * [simplify]: Extracting #3: cost 7 inf + 0 405.271 * * [simplify]: Extracting #4: cost 14 inf + 0 405.272 * * [simplify]: Extracting #5: cost 104 inf + 0 405.272 * * [simplify]: Extracting #6: cost 218 inf + 1 405.273 * * [simplify]: Extracting #7: cost 251 inf + 1432 405.276 * * [simplify]: Extracting #8: cost 159 inf + 20583 405.286 * * [simplify]: Extracting #9: cost 40 inf + 66885 405.306 * * [simplify]: Extracting #10: cost 7 inf + 85208 405.332 * * [simplify]: Extracting #11: cost 0 inf + 88798 405.348 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) 405.348 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 405.349 * * * * [progress]: [ 1187 / 4754 ] simplifiying candidate # 405.349 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 405.350 * * [simplify]: iters left: 6 (47 enodes) 405.366 * * [simplify]: iters left: 5 (241 enodes) 405.471 * * [simplify]: Extracting #0: cost 1 inf + 0 405.471 * * [simplify]: Extracting #1: cost 3 inf + 0 405.471 * * [simplify]: Extracting #2: cost 6 inf + 0 405.471 * * [simplify]: Extracting #3: cost 10 inf + 0 405.471 * * [simplify]: Extracting #4: cost 28 inf + 0 405.471 * * [simplify]: Extracting #5: cost 183 inf + 0 405.472 * * [simplify]: Extracting #6: cost 307 inf + 44 405.474 * * [simplify]: Extracting #7: cost 334 inf + 2005 405.476 * * [simplify]: Extracting #8: cost 256 inf + 13505 405.484 * * [simplify]: Extracting #9: cost 140 inf + 53384 405.503 * * [simplify]: Extracting #10: cost 18 inf + 113577 405.529 * * [simplify]: Extracting #11: cost 0 inf + 126058 405.552 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 405.553 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 405.553 * * * * [progress]: [ 1188 / 4754 ] simplifiying candidate # 405.553 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 405.554 * * [simplify]: iters left: 6 (45 enodes) 405.573 * * [simplify]: iters left: 5 (230 enodes) 405.676 * * [simplify]: Extracting #0: cost 1 inf + 0 405.676 * * [simplify]: Extracting #1: cost 4 inf + 0 405.676 * * [simplify]: Extracting #2: cost 7 inf + 0 405.676 * * [simplify]: Extracting #3: cost 14 inf + 0 405.677 * * [simplify]: Extracting #4: cost 99 inf + 0 405.677 * * [simplify]: Extracting #5: cost 208 inf + 1 405.679 * * [simplify]: Extracting #6: cost 243 inf + 984 405.684 * * [simplify]: Extracting #7: cost 157 inf + 17058 405.702 * * [simplify]: Extracting #8: cost 53 inf + 58468 405.725 * * [simplify]: Extracting #9: cost 6 inf + 80229 405.740 * * [simplify]: Extracting #10: cost 0 inf + 85162 405.755 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 405.756 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 405.759 * * * * [progress]: [ 1189 / 4754 ] simplifiying candidate # 405.759 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 405.759 * * [simplify]: iters left: 6 (47 enodes) 405.772 * * [simplify]: iters left: 5 (241 enodes) 405.833 * * [simplify]: Extracting #0: cost 1 inf + 0 405.833 * * [simplify]: Extracting #1: cost 3 inf + 0 405.833 * * [simplify]: Extracting #2: cost 6 inf + 0 405.833 * * [simplify]: Extracting #3: cost 10 inf + 0 405.833 * * [simplify]: Extracting #4: cost 28 inf + 0 405.834 * * [simplify]: Extracting #5: cost 181 inf + 0 405.835 * * [simplify]: Extracting #6: cost 307 inf + 44 405.838 * * [simplify]: Extracting #7: cost 334 inf + 2127 405.846 * * [simplify]: Extracting #8: cost 221 inf + 25251 405.868 * * [simplify]: Extracting #9: cost 94 inf + 75978 405.908 * * [simplify]: Extracting #10: cost 7 inf + 122075 405.952 * * [simplify]: Extracting #11: cost 0 inf + 126538 405.999 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))))) 405.999 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 406.000 * * * * [progress]: [ 1190 / 4754 ] simplifiying candidate # 406.000 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 406.000 * * [simplify]: iters left: 6 (47 enodes) 406.013 * * [simplify]: iters left: 5 (246 enodes) 406.112 * * [simplify]: Extracting #0: cost 1 inf + 0 406.112 * * [simplify]: Extracting #1: cost 3 inf + 0 406.112 * * [simplify]: Extracting #2: cost 6 inf + 0 406.112 * * [simplify]: Extracting #3: cost 10 inf + 0 406.112 * * [simplify]: Extracting #4: cost 20 inf + 0 406.113 * * [simplify]: Extracting #5: cost 135 inf + 0 406.114 * * [simplify]: Extracting #6: cost 291 inf + 1 406.116 * * [simplify]: Extracting #7: cost 337 inf + 1227 406.126 * * [simplify]: Extracting #8: cost 197 inf + 35312 406.153 * * [simplify]: Extracting #9: cost 57 inf + 85968 406.191 * * [simplify]: Extracting #10: cost 6 inf + 110513 406.217 * * [simplify]: Extracting #11: cost 0 inf + 117610 406.243 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))))) 406.243 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 406.244 * * * * [progress]: [ 1191 / 4754 ] simplifiying candidate # 406.244 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 406.244 * * [simplify]: iters left: 6 (48 enodes) 406.257 * * [simplify]: iters left: 5 (251 enodes) 406.345 * * [simplify]: Extracting #0: cost 1 inf + 0 406.345 * * [simplify]: Extracting #1: cost 3 inf + 0 406.345 * * [simplify]: Extracting #2: cost 6 inf + 0 406.345 * * [simplify]: Extracting #3: cost 10 inf + 0 406.345 * * [simplify]: Extracting #4: cost 20 inf + 0 406.346 * * [simplify]: Extracting #5: cost 133 inf + 0 406.347 * * [simplify]: Extracting #6: cost 302 inf + 1 406.349 * * [simplify]: Extracting #7: cost 344 inf + 1111 406.355 * * [simplify]: Extracting #8: cost 252 inf + 13579 406.370 * * [simplify]: Extracting #9: cost 139 inf + 48145 406.405 * * [simplify]: Extracting #10: cost 20 inf + 102768 406.442 * * [simplify]: Extracting #11: cost 0 inf + 119515 406.467 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 406.467 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 406.467 * * * * [progress]: [ 1192 / 4754 ] simplifiying candidate # 406.468 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 406.468 * * [simplify]: iters left: 6 (48 enodes) 406.481 * * [simplify]: iters left: 5 (251 enodes) 406.584 * * [simplify]: Extracting #0: cost 1 inf + 0 406.584 * * [simplify]: Extracting #1: cost 3 inf + 0 406.584 * * [simplify]: Extracting #2: cost 6 inf + 0 406.584 * * [simplify]: Extracting #3: cost 10 inf + 0 406.584 * * [simplify]: Extracting #4: cost 20 inf + 0 406.584 * * [simplify]: Extracting #5: cost 136 inf + 0 406.586 * * [simplify]: Extracting #6: cost 304 inf + 1 406.588 * * [simplify]: Extracting #7: cost 336 inf + 1519 406.594 * * [simplify]: Extracting #8: cost 249 inf + 13339 406.610 * * [simplify]: Extracting #9: cost 142 inf + 46105 406.634 * * [simplify]: Extracting #10: cost 15 inf + 100996 406.660 * * [simplify]: Extracting #11: cost 2 inf + 112181 406.686 * * [simplify]: Extracting #12: cost 0 inf + 115551 406.715 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 406.715 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi2 phi1)))) (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 406.716 * * * * [progress]: [ 1193 / 4754 ] simplifiying candidate # 406.716 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 406.716 * * [simplify]: iters left: 6 (48 enodes) 406.730 * * [simplify]: iters left: 5 (253 enodes) 406.809 * * [simplify]: Extracting #0: cost 1 inf + 0 406.809 * * [simplify]: Extracting #1: cost 3 inf + 0 406.809 * * [simplify]: Extracting #2: cost 6 inf + 0 406.809 * * [simplify]: Extracting #3: cost 10 inf + 0 406.809 * * [simplify]: Extracting #4: cost 20 inf + 0 406.809 * * [simplify]: Extracting #5: cost 138 inf + 0 406.810 * * [simplify]: Extracting #6: cost 297 inf + 44 406.811 * * [simplify]: Extracting #7: cost 318 inf + 1926 406.815 * * [simplify]: Extracting #8: cost 219 inf + 18206 406.823 * * [simplify]: Extracting #9: cost 123 inf + 49370 406.840 * * [simplify]: Extracting #10: cost 28 inf + 91222 406.870 * * [simplify]: Extracting #11: cost 2 inf + 104188 406.894 * * [simplify]: Extracting #12: cost 0 inf + 107478 406.932 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 406.932 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 406.933 * * * * [progress]: [ 1194 / 4754 ] simplifiying candidate # 406.933 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 406.934 * * [simplify]: iters left: 6 (46 enodes) 406.960 * * [simplify]: iters left: 5 (236 enodes) 407.042 * * [simplify]: Extracting #0: cost 1 inf + 0 407.042 * * [simplify]: Extracting #1: cost 3 inf + 0 407.042 * * [simplify]: Extracting #2: cost 6 inf + 0 407.042 * * [simplify]: Extracting #3: cost 10 inf + 0 407.042 * * [simplify]: Extracting #4: cost 24 inf + 0 407.043 * * [simplify]: Extracting #5: cost 135 inf + 0 407.044 * * [simplify]: Extracting #6: cost 258 inf + 1 407.046 * * [simplify]: Extracting #7: cost 292 inf + 538 407.050 * * [simplify]: Extracting #8: cost 206 inf + 15789 407.060 * * [simplify]: Extracting #9: cost 70 inf + 62386 407.076 * * [simplify]: Extracting #10: cost 16 inf + 88591 407.108 * * [simplify]: Extracting #11: cost 2 inf + 98569 407.128 * * [simplify]: Extracting #12: cost 0 inf + 101179 407.146 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 407.146 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 407.147 * * * * [progress]: [ 1195 / 4754 ] simplifiying candidate # 407.147 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 407.148 * * [simplify]: iters left: 6 (47 enodes) 407.163 * * [simplify]: iters left: 5 (245 enodes) 407.246 * * [simplify]: Extracting #0: cost 1 inf + 0 407.246 * * [simplify]: Extracting #1: cost 3 inf + 0 407.246 * * [simplify]: Extracting #2: cost 6 inf + 0 407.246 * * [simplify]: Extracting #3: cost 10 inf + 0 407.246 * * [simplify]: Extracting #4: cost 24 inf + 0 407.246 * * [simplify]: Extracting #5: cost 144 inf + 0 407.247 * * [simplify]: Extracting #6: cost 284 inf + 44 407.248 * * [simplify]: Extracting #7: cost 300 inf + 2856 407.253 * * [simplify]: Extracting #8: cost 182 inf + 29603 407.266 * * [simplify]: Extracting #9: cost 46 inf + 75552 407.296 * * [simplify]: Extracting #10: cost 8 inf + 93122 407.330 * * [simplify]: Extracting #11: cost 1 inf + 99800 407.364 * * [simplify]: Extracting #12: cost 0 inf + 101465 407.400 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (- phi1 phi2) (+ phi2 phi1))))))) 407.400 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 407.401 * * * * [progress]: [ 1196 / 4754 ] simplifiying candidate # 407.402 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 407.402 * * [simplify]: iters left: 6 (45 enodes) 407.427 * * [simplify]: iters left: 5 (233 enodes) 407.534 * * [simplify]: Extracting #0: cost 1 inf + 0 407.534 * * [simplify]: Extracting #1: cost 3 inf + 0 407.534 * * [simplify]: Extracting #2: cost 6 inf + 0 407.534 * * [simplify]: Extracting #3: cost 10 inf + 0 407.535 * * [simplify]: Extracting #4: cost 24 inf + 0 407.535 * * [simplify]: Extracting #5: cost 136 inf + 0 407.536 * * [simplify]: Extracting #6: cost 259 inf + 1 407.538 * * [simplify]: Extracting #7: cost 290 inf + 1063 407.544 * * [simplify]: Extracting #8: cost 192 inf + 18299 407.556 * * [simplify]: Extracting #9: cost 123 inf + 38328 407.579 * * [simplify]: Extracting #10: cost 33 inf + 78880 407.596 * * [simplify]: Extracting #11: cost 2 inf + 99253 407.618 * * [simplify]: Extracting #12: cost 0 inf + 102303 407.654 * * [simplify]: Extracting #13: cost 0 inf + 102063 407.688 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 407.688 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 407.688 * * * * [progress]: [ 1197 / 4754 ] simplifiying candidate # 407.689 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 407.689 * * [simplify]: iters left: 6 (47 enodes) 407.702 * * [simplify]: iters left: 5 (245 enodes) 407.767 * * [simplify]: Extracting #0: cost 1 inf + 0 407.767 * * [simplify]: Extracting #1: cost 3 inf + 0 407.767 * * [simplify]: Extracting #2: cost 6 inf + 0 407.767 * * [simplify]: Extracting #3: cost 10 inf + 0 407.767 * * [simplify]: Extracting #4: cost 24 inf + 0 407.771 * * [simplify]: Extracting #5: cost 143 inf + 0 407.772 * * [simplify]: Extracting #6: cost 284 inf + 44 407.775 * * [simplify]: Extracting #7: cost 297 inf + 3261 407.783 * * [simplify]: Extracting #8: cost 180 inf + 30211 407.807 * * [simplify]: Extracting #9: cost 44 inf + 76276 407.825 * * [simplify]: Extracting #10: cost 8 inf + 93402 407.852 * * [simplify]: Extracting #11: cost 1 inf + 100160 407.888 * * [simplify]: Extracting #12: cost 0 inf + 101865 407.907 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 407.907 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 407.908 * * * * [progress]: [ 1198 / 4754 ] simplifiying candidate # 407.908 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 407.909 * * [simplify]: iters left: 6 (48 enodes) 407.925 * * [simplify]: iters left: 5 (239 enodes) 408.029 * * [simplify]: Extracting #0: cost 1 inf + 0 408.029 * * [simplify]: Extracting #1: cost 3 inf + 0 408.029 * * [simplify]: Extracting #2: cost 6 inf + 0 408.029 * * [simplify]: Extracting #3: cost 10 inf + 0 408.029 * * [simplify]: Extracting #4: cost 20 inf + 0 408.029 * * [simplify]: Extracting #5: cost 132 inf + 0 408.030 * * [simplify]: Extracting #6: cost 277 inf + 1 408.031 * * [simplify]: Extracting #7: cost 327 inf + 826 408.034 * * [simplify]: Extracting #8: cost 243 inf + 14045 408.040 * * [simplify]: Extracting #9: cost 144 inf + 45841 408.057 * * [simplify]: Extracting #10: cost 29 inf + 99496 408.095 * * [simplify]: Extracting #11: cost 4 inf + 116868 408.132 * * [simplify]: Extracting #12: cost 1 inf + 122023 408.161 * * [simplify]: Extracting #13: cost 0 inf + 123768 408.185 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) 408.185 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 408.186 * * * * [progress]: [ 1199 / 4754 ] simplifiying candidate # 408.186 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 408.187 * * [simplify]: iters left: 6 (49 enodes) 408.202 * * [simplify]: iters left: 5 (247 enodes) 408.291 * * [simplify]: Extracting #0: cost 1 inf + 0 408.291 * * [simplify]: Extracting #1: cost 3 inf + 0 408.291 * * [simplify]: Extracting #2: cost 6 inf + 0 408.291 * * [simplify]: Extracting #3: cost 10 inf + 0 408.291 * * [simplify]: Extracting #4: cost 20 inf + 0 408.292 * * [simplify]: Extracting #5: cost 135 inf + 0 408.293 * * [simplify]: Extracting #6: cost 296 inf + 1 408.295 * * [simplify]: Extracting #7: cost 343 inf + 947 408.304 * * [simplify]: Extracting #8: cost 219 inf + 26420 408.325 * * [simplify]: Extracting #9: cost 115 inf + 64313 408.365 * * [simplify]: Extracting #10: cost 20 inf + 105553 408.406 * * [simplify]: Extracting #11: cost 1 inf + 123078 408.447 * * [simplify]: Extracting #12: cost 0 inf + 124863 408.480 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 408.480 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 408.481 * * * * [progress]: [ 1200 / 4754 ] simplifiying candidate # 408.481 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 408.482 * * [simplify]: iters left: 6 (49 enodes) 408.495 * * [simplify]: iters left: 5 (247 enodes) 408.602 * * [simplify]: Extracting #0: cost 1 inf + 0 408.602 * * [simplify]: Extracting #1: cost 3 inf + 0 408.602 * * [simplify]: Extracting #2: cost 6 inf + 0 408.602 * * [simplify]: Extracting #3: cost 10 inf + 0 408.602 * * [simplify]: Extracting #4: cost 20 inf + 0 408.602 * * [simplify]: Extracting #5: cost 138 inf + 0 408.603 * * [simplify]: Extracting #6: cost 297 inf + 1 408.604 * * [simplify]: Extracting #7: cost 338 inf + 987 408.607 * * [simplify]: Extracting #8: cost 252 inf + 12888 408.617 * * [simplify]: Extracting #9: cost 146 inf + 47012 408.631 * * [simplify]: Extracting #10: cost 50 inf + 88365 408.661 * * [simplify]: Extracting #11: cost 3 inf + 119479 408.702 * * [simplify]: Extracting #12: cost 0 inf + 122394 408.739 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 408.739 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 408.740 * * * * [progress]: [ 1201 / 4754 ] simplifiying candidate # 408.741 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 408.741 * * [simplify]: iters left: 6 (49 enodes) 408.769 * * [simplify]: iters left: 5 (245 enodes) 408.866 * * [simplify]: Extracting #0: cost 1 inf + 0 408.866 * * [simplify]: Extracting #1: cost 3 inf + 0 408.866 * * [simplify]: Extracting #2: cost 6 inf + 0 408.866 * * [simplify]: Extracting #3: cost 10 inf + 0 408.866 * * [simplify]: Extracting #4: cost 22 inf + 0 408.866 * * [simplify]: Extracting #5: cost 137 inf + 0 408.868 * * [simplify]: Extracting #6: cost 278 inf + 44 408.870 * * [simplify]: Extracting #7: cost 293 inf + 3508 408.884 * * [simplify]: Extracting #8: cost 171 inf + 34744 408.913 * * [simplify]: Extracting #9: cost 49 inf + 83756 408.953 * * [simplify]: Extracting #10: cost 10 inf + 104448 408.984 * * [simplify]: Extracting #11: cost 0 inf + 112393 409.006 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 409.006 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 409.007 * * * * [progress]: [ 1202 / 4754 ] simplifiying candidate # 409.008 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 409.008 * * [simplify]: iters left: 6 (47 enodes) 409.025 * * [simplify]: iters left: 5 (233 enodes) 409.087 * * [simplify]: Extracting #0: cost 1 inf + 0 409.087 * * [simplify]: Extracting #1: cost 3 inf + 0 409.087 * * [simplify]: Extracting #2: cost 6 inf + 0 409.087 * * [simplify]: Extracting #3: cost 10 inf + 0 409.087 * * [simplify]: Extracting #4: cost 24 inf + 0 409.087 * * [simplify]: Extracting #5: cost 138 inf + 0 409.088 * * [simplify]: Extracting #6: cost 260 inf + 1 409.089 * * [simplify]: Extracting #7: cost 293 inf + 865 409.092 * * [simplify]: Extracting #8: cost 196 inf + 21097 409.112 * * [simplify]: Extracting #9: cost 61 inf + 74557 409.149 * * [simplify]: Extracting #10: cost 5 inf + 104437 409.168 * * [simplify]: Extracting #11: cost 1 inf + 109084 409.199 * * [simplify]: Extracting #12: cost 0 inf + 110789 409.239 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 409.239 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 409.240 * * * * [progress]: [ 1203 / 4754 ] simplifiying candidate # 409.241 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 409.241 * * [simplify]: iters left: 6 (48 enodes) 409.262 * * [simplify]: iters left: 5 (241 enodes) 409.322 * * [simplify]: Extracting #0: cost 1 inf + 0 409.322 * * [simplify]: Extracting #1: cost 3 inf + 0 409.322 * * [simplify]: Extracting #2: cost 6 inf + 0 409.322 * * [simplify]: Extracting #3: cost 10 inf + 0 409.322 * * [simplify]: Extracting #4: cost 24 inf + 0 409.323 * * [simplify]: Extracting #5: cost 146 inf + 0 409.324 * * [simplify]: Extracting #6: cost 277 inf + 85 409.326 * * [simplify]: Extracting #7: cost 291 inf + 2983 409.337 * * [simplify]: Extracting #8: cost 146 inf + 38985 409.365 * * [simplify]: Extracting #9: cost 46 inf + 82462 409.384 * * [simplify]: Extracting #10: cost 7 inf + 101957 409.403 * * [simplify]: Extracting #11: cost 0 inf + 106678 409.441 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 409.441 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 409.442 * * * * [progress]: [ 1204 / 4754 ] simplifiying candidate # 409.443 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 409.443 * * [simplify]: iters left: 6 (46 enodes) 409.469 * * [simplify]: iters left: 5 (231 enodes) 409.561 * * [simplify]: Extracting #0: cost 1 inf + 0 409.561 * * [simplify]: Extracting #1: cost 3 inf + 0 409.561 * * [simplify]: Extracting #2: cost 6 inf + 0 409.561 * * [simplify]: Extracting #3: cost 10 inf + 0 409.562 * * [simplify]: Extracting #4: cost 24 inf + 0 409.562 * * [simplify]: Extracting #5: cost 138 inf + 0 409.563 * * [simplify]: Extracting #6: cost 260 inf + 1 409.569 * * [simplify]: Extracting #7: cost 290 inf + 1149 409.574 * * [simplify]: Extracting #8: cost 226 inf + 10251 409.581 * * [simplify]: Extracting #9: cost 140 inf + 37012 409.595 * * [simplify]: Extracting #10: cost 33 inf + 86657 409.621 * * [simplify]: Extracting #11: cost 3 inf + 107554 409.642 * * [simplify]: Extracting #12: cost 0 inf + 111509 409.671 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) 409.672 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 409.672 * * * * [progress]: [ 1205 / 4754 ] simplifiying candidate # 409.672 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 409.673 * * [simplify]: iters left: 6 (48 enodes) 409.685 * * [simplify]: iters left: 5 (241 enodes) 409.771 * * [simplify]: Extracting #0: cost 1 inf + 0 409.771 * * [simplify]: Extracting #1: cost 3 inf + 0 409.771 * * [simplify]: Extracting #2: cost 6 inf + 0 409.771 * * [simplify]: Extracting #3: cost 10 inf + 0 409.771 * * [simplify]: Extracting #4: cost 24 inf + 0 409.771 * * [simplify]: Extracting #5: cost 145 inf + 0 409.775 * * [simplify]: Extracting #6: cost 277 inf + 85 409.776 * * [simplify]: Extracting #7: cost 291 inf + 2983 409.782 * * [simplify]: Extracting #8: cost 145 inf + 39509 409.798 * * [simplify]: Extracting #9: cost 47 inf + 82157 409.816 * * [simplify]: Extracting #10: cost 7 inf + 102197 409.846 * * [simplify]: Extracting #11: cost 0 inf + 106918 409.866 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 409.867 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 409.867 * * * * [progress]: [ 1206 / 4754 ] simplifiying candidate # 409.868 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 409.868 * * [simplify]: iters left: 6 (48 enodes) 409.887 * * [simplify]: iters left: 5 (238 enodes) 409.979 * * [simplify]: Extracting #0: cost 1 inf + 0 409.979 * * [simplify]: Extracting #1: cost 3 inf + 0 409.979 * * [simplify]: Extracting #2: cost 6 inf + 0 409.979 * * [simplify]: Extracting #3: cost 10 inf + 0 409.979 * * [simplify]: Extracting #4: cost 20 inf + 0 409.979 * * [simplify]: Extracting #5: cost 127 inf + 0 409.981 * * [simplify]: Extracting #6: cost 273 inf + 1 409.987 * * [simplify]: Extracting #7: cost 323 inf + 745 409.993 * * [simplify]: Extracting #8: cost 223 inf + 19400 410.006 * * [simplify]: Extracting #9: cost 83 inf + 70627 410.027 * * [simplify]: Extracting #10: cost 3 inf + 114770 410.067 * * [simplify]: Extracting #11: cost 0 inf + 116630 410.108 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 410.108 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 410.109 * * * * [progress]: [ 1207 / 4754 ] simplifiying candidate # 410.110 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 410.110 * * [simplify]: iters left: 6 (49 enodes) 410.130 * * [simplify]: iters left: 5 (246 enodes) 410.206 * * [simplify]: Extracting #0: cost 1 inf + 0 410.206 * * [simplify]: Extracting #1: cost 3 inf + 0 410.206 * * [simplify]: Extracting #2: cost 6 inf + 0 410.206 * * [simplify]: Extracting #3: cost 10 inf + 0 410.206 * * [simplify]: Extracting #4: cost 20 inf + 0 410.206 * * [simplify]: Extracting #5: cost 130 inf + 0 410.207 * * [simplify]: Extracting #6: cost 292 inf + 1 410.208 * * [simplify]: Extracting #7: cost 341 inf + 903 410.215 * * [simplify]: Extracting #8: cost 207 inf + 31245 410.232 * * [simplify]: Extracting #9: cost 73 inf + 83300 410.271 * * [simplify]: Extracting #10: cost 6 inf + 111934 410.311 * * [simplify]: Extracting #11: cost 0 inf + 116125 410.339 * * [simplify]: Extracting #12: cost 0 inf + 115525 410.364 * * [simplify]: Extracting #13: cost 0 inf + 115445 410.385 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 410.385 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 410.386 * * * * [progress]: [ 1208 / 4754 ] simplifiying candidate # 410.386 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 410.386 * * [simplify]: iters left: 6 (49 enodes) 410.399 * * [simplify]: iters left: 5 (246 enodes) 410.482 * * [simplify]: Extracting #0: cost 1 inf + 0 410.482 * * [simplify]: Extracting #1: cost 3 inf + 0 410.482 * * [simplify]: Extracting #2: cost 6 inf + 0 410.482 * * [simplify]: Extracting #3: cost 10 inf + 0 410.483 * * [simplify]: Extracting #4: cost 20 inf + 0 410.483 * * [simplify]: Extracting #5: cost 133 inf + 0 410.484 * * [simplify]: Extracting #6: cost 294 inf + 1 410.487 * * [simplify]: Extracting #7: cost 331 inf + 1515 410.490 * * [simplify]: Extracting #8: cost 248 inf + 13095 410.497 * * [simplify]: Extracting #9: cost 150 inf + 40297 410.510 * * [simplify]: Extracting #10: cost 51 inf + 80952 410.540 * * [simplify]: Extracting #11: cost 4 inf + 110341 410.565 * * [simplify]: Extracting #12: cost 0 inf + 113881 410.590 * * [simplify]: Extracting #13: cost 0 inf + 113801 410.631 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 410.631 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 410.632 * * * * [progress]: [ 1209 / 4754 ] simplifiying candidate # 410.632 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 410.633 * * [simplify]: iters left: 6 (49 enodes) 410.657 * * [simplify]: iters left: 5 (244 enodes) 410.732 * * [simplify]: Extracting #0: cost 1 inf + 0 410.732 * * [simplify]: Extracting #1: cost 3 inf + 0 410.732 * * [simplify]: Extracting #2: cost 6 inf + 0 410.732 * * [simplify]: Extracting #3: cost 10 inf + 0 410.732 * * [simplify]: Extracting #4: cost 22 inf + 0 410.733 * * [simplify]: Extracting #5: cost 132 inf + 0 410.734 * * [simplify]: Extracting #6: cost 275 inf + 44 410.736 * * [simplify]: Extracting #7: cost 295 inf + 2335 410.743 * * [simplify]: Extracting #8: cost 186 inf + 24592 410.763 * * [simplify]: Extracting #9: cost 53 inf + 72726 410.780 * * [simplify]: Extracting #10: cost 7 inf + 101264 410.819 * * [simplify]: Extracting #11: cost 0 inf + 107440 410.849 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 410.849 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 410.850 * * * * [progress]: [ 1210 / 4754 ] simplifiying candidate # 410.850 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 410.850 * * [simplify]: iters left: 6 (47 enodes) 410.863 * * [simplify]: iters left: 5 (231 enodes) 410.947 * * [simplify]: Extracting #0: cost 1 inf + 0 410.947 * * [simplify]: Extracting #1: cost 3 inf + 0 410.947 * * [simplify]: Extracting #2: cost 6 inf + 0 410.947 * * [simplify]: Extracting #3: cost 10 inf + 0 410.947 * * [simplify]: Extracting #4: cost 24 inf + 0 410.947 * * [simplify]: Extracting #5: cost 132 inf + 0 410.948 * * [simplify]: Extracting #6: cost 248 inf + 1 410.949 * * [simplify]: Extracting #7: cost 278 inf + 1030 410.952 * * [simplify]: Extracting #8: cost 181 inf + 19973 410.965 * * [simplify]: Extracting #9: cost 61 inf + 68918 410.998 * * [simplify]: Extracting #10: cost 12 inf + 91123 411.032 * * [simplify]: Extracting #11: cost 1 inf + 97327 411.067 * * [simplify]: Extracting #12: cost 0 inf + 98872 411.101 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 411.101 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 411.102 * * * * [progress]: [ 1211 / 4754 ] simplifiying candidate # 411.102 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 411.103 * * [simplify]: iters left: 6 (48 enodes) 411.129 * * [simplify]: iters left: 5 (240 enodes) 411.240 * * [simplify]: Extracting #0: cost 1 inf + 0 411.240 * * [simplify]: Extracting #1: cost 3 inf + 0 411.240 * * [simplify]: Extracting #2: cost 6 inf + 0 411.240 * * [simplify]: Extracting #3: cost 10 inf + 0 411.241 * * [simplify]: Extracting #4: cost 24 inf + 0 411.241 * * [simplify]: Extracting #5: cost 141 inf + 0 411.241 * * [simplify]: Extracting #6: cost 274 inf + 44 411.243 * * [simplify]: Extracting #7: cost 290 inf + 2942 411.248 * * [simplify]: Extracting #8: cost 146 inf + 38690 411.262 * * [simplify]: Extracting #9: cost 33 inf + 80402 411.290 * * [simplify]: Extracting #10: cost 1 inf + 98096 411.308 * * [simplify]: Extracting #11: cost 0 inf + 99441 411.331 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 411.332 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 411.332 * * * * [progress]: [ 1212 / 4754 ] simplifiying candidate # 411.332 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 411.333 * * [simplify]: iters left: 6 (46 enodes) 411.345 * * [simplify]: iters left: 5 (228 enodes) 411.405 * * [simplify]: Extracting #0: cost 1 inf + 0 411.405 * * [simplify]: Extracting #1: cost 3 inf + 0 411.405 * * [simplify]: Extracting #2: cost 6 inf + 0 411.405 * * [simplify]: Extracting #3: cost 10 inf + 0 411.405 * * [simplify]: Extracting #4: cost 24 inf + 0 411.406 * * [simplify]: Extracting #5: cost 131 inf + 0 411.407 * * [simplify]: Extracting #6: cost 247 inf + 1 411.408 * * [simplify]: Extracting #7: cost 277 inf + 1150 411.415 * * [simplify]: Extracting #8: cost 178 inf + 22656 411.429 * * [simplify]: Extracting #9: cost 55 inf + 72322 411.452 * * [simplify]: Extracting #10: cost 9 inf + 95902 411.479 * * [simplify]: Extracting #11: cost 0 inf + 99548 411.502 * * [simplify]: Extracting #12: cost 0 inf + 99228 411.527 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 411.527 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 411.528 * * * * [progress]: [ 1213 / 4754 ] simplifiying candidate # 411.528 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 411.529 * * [simplify]: iters left: 6 (48 enodes) 411.541 * * [simplify]: iters left: 5 (240 enodes) 411.622 * * [simplify]: Extracting #0: cost 1 inf + 0 411.622 * * [simplify]: Extracting #1: cost 3 inf + 0 411.622 * * [simplify]: Extracting #2: cost 6 inf + 0 411.622 * * [simplify]: Extracting #3: cost 10 inf + 0 411.622 * * [simplify]: Extracting #4: cost 24 inf + 0 411.623 * * [simplify]: Extracting #5: cost 140 inf + 0 411.624 * * [simplify]: Extracting #6: cost 274 inf + 44 411.626 * * [simplify]: Extracting #7: cost 290 inf + 2982 411.637 * * [simplify]: Extracting #8: cost 154 inf + 37349 411.664 * * [simplify]: Extracting #9: cost 41 inf + 79030 411.688 * * [simplify]: Extracting #10: cost 6 inf + 96403 411.711 * * [simplify]: Extracting #11: cost 0 inf + 99681 411.732 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 411.732 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ lambda2 lambda1)))) (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 411.732 * * * * [progress]: [ 1214 / 4754 ] simplifiying candidate # 411.733 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 411.733 * * [simplify]: iters left: 6 (48 enodes) 411.747 * * [simplify]: iters left: 5 (239 enodes) 411.825 * * [simplify]: Extracting #0: cost 1 inf + 0 411.825 * * [simplify]: Extracting #1: cost 3 inf + 0 411.825 * * [simplify]: Extracting #2: cost 6 inf + 0 411.825 * * [simplify]: Extracting #3: cost 10 inf + 0 411.825 * * [simplify]: Extracting #4: cost 20 inf + 0 411.825 * * [simplify]: Extracting #5: cost 131 inf + 0 411.826 * * [simplify]: Extracting #6: cost 275 inf + 1 411.828 * * [simplify]: Extracting #7: cost 327 inf + 865 411.833 * * [simplify]: Extracting #8: cost 245 inf + 14042 411.847 * * [simplify]: Extracting #9: cost 148 inf + 45082 411.879 * * [simplify]: Extracting #10: cost 33 inf + 97413 411.914 * * [simplify]: Extracting #11: cost 4 inf + 115988 411.944 * * [simplify]: Extracting #12: cost 1 inf + 121023 411.986 * * [simplify]: Extracting #13: cost 0 inf + 122728 412.029 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 412.029 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 412.031 * * * * [progress]: [ 1215 / 4754 ] simplifiying candidate # 412.031 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 412.032 * * [simplify]: iters left: 6 (49 enodes) 412.057 * * [simplify]: iters left: 5 (247 enodes) 412.137 * * [simplify]: Extracting #0: cost 1 inf + 0 412.137 * * [simplify]: Extracting #1: cost 3 inf + 0 412.137 * * [simplify]: Extracting #2: cost 6 inf + 0 412.137 * * [simplify]: Extracting #3: cost 10 inf + 0 412.137 * * [simplify]: Extracting #4: cost 20 inf + 0 412.137 * * [simplify]: Extracting #5: cost 134 inf + 0 412.139 * * [simplify]: Extracting #6: cost 294 inf + 1 412.141 * * [simplify]: Extracting #7: cost 342 inf + 1068 412.148 * * [simplify]: Extracting #8: cost 229 inf + 22505 412.171 * * [simplify]: Extracting #9: cost 113 inf + 64441 412.205 * * [simplify]: Extracting #10: cost 18 inf + 106606 412.246 * * [simplify]: Extracting #11: cost 1 inf + 121998 412.288 * * [simplify]: Extracting #12: cost 0 inf + 123783 412.326 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 412.326 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 412.327 * * * * [progress]: [ 1216 / 4754 ] simplifiying candidate # 412.327 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 412.328 * * [simplify]: iters left: 6 (49 enodes) 412.340 * * [simplify]: iters left: 5 (247 enodes) 412.439 * * [simplify]: Extracting #0: cost 1 inf + 0 412.439 * * [simplify]: Extracting #1: cost 3 inf + 0 412.439 * * [simplify]: Extracting #2: cost 6 inf + 0 412.439 * * [simplify]: Extracting #3: cost 10 inf + 0 412.439 * * [simplify]: Extracting #4: cost 20 inf + 0 412.440 * * [simplify]: Extracting #5: cost 137 inf + 0 412.441 * * [simplify]: Extracting #6: cost 296 inf + 1 412.442 * * [simplify]: Extracting #7: cost 339 inf + 946 412.444 * * [simplify]: Extracting #8: cost 257 inf + 12724 412.452 * * [simplify]: Extracting #9: cost 146 inf + 52623 412.471 * * [simplify]: Extracting #10: cost 21 inf + 108668 412.493 * * [simplify]: Extracting #11: cost 0 inf + 122019 412.517 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 412.517 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 412.517 * * * * [progress]: [ 1217 / 4754 ] simplifiying candidate # 412.518 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 412.518 * * [simplify]: iters left: 6 (49 enodes) 412.542 * * [simplify]: iters left: 5 (245 enodes) 412.614 * * [simplify]: Extracting #0: cost 1 inf + 0 412.614 * * [simplify]: Extracting #1: cost 3 inf + 0 412.614 * * [simplify]: Extracting #2: cost 6 inf + 0 412.614 * * [simplify]: Extracting #3: cost 10 inf + 0 412.614 * * [simplify]: Extracting #4: cost 22 inf + 0 412.614 * * [simplify]: Extracting #5: cost 136 inf + 0 412.615 * * [simplify]: Extracting #6: cost 278 inf + 44 412.616 * * [simplify]: Extracting #7: cost 295 inf + 3384 412.621 * * [simplify]: Extracting #8: cost 173 inf + 35268 412.642 * * [simplify]: Extracting #9: cost 42 inf + 87819 412.678 * * [simplify]: Extracting #10: cost 6 inf + 106961 412.716 * * [simplify]: Extracting #11: cost 0 inf + 112283 412.757 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 412.757 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ phi2 phi1))))))) (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 412.759 * * * * [progress]: [ 1218 / 4754 ] simplifiying candidate # 412.759 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 412.760 * * [simplify]: iters left: 6 (47 enodes) 412.784 * * [simplify]: iters left: 5 (233 enodes) 412.888 * * [simplify]: Extracting #0: cost 1 inf + 0 412.888 * * [simplify]: Extracting #1: cost 3 inf + 0 412.888 * * [simplify]: Extracting #2: cost 6 inf + 0 412.888 * * [simplify]: Extracting #3: cost 10 inf + 0 412.888 * * [simplify]: Extracting #4: cost 24 inf + 0 412.888 * * [simplify]: Extracting #5: cost 134 inf + 0 412.889 * * [simplify]: Extracting #6: cost 255 inf + 1 412.890 * * [simplify]: Extracting #7: cost 290 inf + 703 412.893 * * [simplify]: Extracting #8: cost 195 inf + 21675 412.904 * * [simplify]: Extracting #9: cost 66 inf + 71281 412.930 * * [simplify]: Extracting #10: cost 11 inf + 101223 412.950 * * [simplify]: Extracting #11: cost 1 inf + 107313 412.985 * * [simplify]: Extracting #12: cost 0 inf + 108978 413.012 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 413.012 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 413.012 * * * * [progress]: [ 1219 / 4754 ] simplifiying candidate # 413.013 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 413.013 * * [simplify]: iters left: 6 (48 enodes) 413.025 * * [simplify]: iters left: 5 (241 enodes) 413.119 * * [simplify]: Extracting #0: cost 1 inf + 0 413.119 * * [simplify]: Extracting #1: cost 3 inf + 0 413.119 * * [simplify]: Extracting #2: cost 6 inf + 0 413.119 * * [simplify]: Extracting #3: cost 10 inf + 0 413.120 * * [simplify]: Extracting #4: cost 24 inf + 0 413.120 * * [simplify]: Extracting #5: cost 145 inf + 0 413.121 * * [simplify]: Extracting #6: cost 275 inf + 85 413.122 * * [simplify]: Extracting #7: cost 293 inf + 2738 413.127 * * [simplify]: Extracting #8: cost 146 inf + 39853 413.141 * * [simplify]: Extracting #9: cost 47 inf + 81317 413.159 * * [simplify]: Extracting #10: cost 7 inf + 103117 413.190 * * [simplify]: Extracting #11: cost 0 inf + 106758 413.229 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 413.229 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- phi1 phi2))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 413.230 * * * * [progress]: [ 1220 / 4754 ] simplifiying candidate # 413.231 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 413.231 * * [simplify]: iters left: 6 (46 enodes) 413.255 * * [simplify]: iters left: 5 (231 enodes) 413.337 * * [simplify]: Extracting #0: cost 1 inf + 0 413.337 * * [simplify]: Extracting #1: cost 3 inf + 0 413.337 * * [simplify]: Extracting #2: cost 6 inf + 0 413.337 * * [simplify]: Extracting #3: cost 10 inf + 0 413.337 * * [simplify]: Extracting #4: cost 24 inf + 0 413.338 * * [simplify]: Extracting #5: cost 134 inf + 0 413.339 * * [simplify]: Extracting #6: cost 255 inf + 1 413.341 * * [simplify]: Extracting #7: cost 288 inf + 986 413.348 * * [simplify]: Extracting #8: cost 192 inf + 21299 413.371 * * [simplify]: Extracting #9: cost 51 inf + 76005 413.392 * * [simplify]: Extracting #10: cost 10 inf + 98154 413.417 * * [simplify]: Extracting #11: cost 2 inf + 106848 413.455 * * [simplify]: Extracting #12: cost 0 inf + 109618 413.479 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 413.479 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 413.480 * * * * [progress]: [ 1221 / 4754 ] simplifiying candidate # 413.480 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 413.480 * * [simplify]: iters left: 6 (48 enodes) 413.496 * * [simplify]: iters left: 5 (241 enodes) 413.594 * * [simplify]: Extracting #0: cost 1 inf + 0 413.594 * * [simplify]: Extracting #1: cost 3 inf + 0 413.594 * * [simplify]: Extracting #2: cost 6 inf + 0 413.594 * * [simplify]: Extracting #3: cost 10 inf + 0 413.594 * * [simplify]: Extracting #4: cost 24 inf + 0 413.595 * * [simplify]: Extracting #5: cost 144 inf + 0 413.595 * * [simplify]: Extracting #6: cost 275 inf + 85 413.596 * * [simplify]: Extracting #7: cost 292 inf + 2862 413.602 * * [simplify]: Extracting #8: cost 146 inf + 39934 413.626 * * [simplify]: Extracting #9: cost 48 inf + 81092 413.661 * * [simplify]: Extracting #10: cost 7 inf + 103357 413.698 * * [simplify]: Extracting #11: cost 0 inf + 106998 413.737 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 413.737 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 413.738 * * * * [progress]: [ 1222 / 4754 ] simplifiying candidate # 413.738 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 413.738 * * [simplify]: iters left: 6 (48 enodes) 413.751 * * [simplify]: iters left: 5 (239 enodes) 413.828 * * [simplify]: Extracting #0: cost 1 inf + 0 413.828 * * [simplify]: Extracting #1: cost 3 inf + 0 413.828 * * [simplify]: Extracting #2: cost 6 inf + 0 413.828 * * [simplify]: Extracting #3: cost 10 inf + 0 413.828 * * [simplify]: Extracting #4: cost 20 inf + 0 413.828 * * [simplify]: Extracting #5: cost 128 inf + 0 413.829 * * [simplify]: Extracting #6: cost 278 inf + 1 413.830 * * [simplify]: Extracting #7: cost 322 inf + 1351 413.832 * * [simplify]: Extracting #8: cost 233 inf + 16151 413.846 * * [simplify]: Extracting #9: cost 144 inf + 44096 413.875 * * [simplify]: Extracting #10: cost 49 inf + 84059 413.896 * * [simplify]: Extracting #11: cost 4 inf + 110515 413.918 * * [simplify]: Extracting #12: cost 0 inf + 115535 413.956 * * [simplify]: Extracting #13: cost 0 inf + 114895 413.976 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 413.976 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 413.977 * * * * [progress]: [ 1223 / 4754 ] simplifiying candidate # 413.977 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 413.978 * * [simplify]: iters left: 6 (49 enodes) 413.992 * * [simplify]: iters left: 5 (247 enodes) 414.097 * * [simplify]: Extracting #0: cost 1 inf + 0 414.097 * * [simplify]: Extracting #1: cost 3 inf + 0 414.098 * * [simplify]: Extracting #2: cost 6 inf + 0 414.098 * * [simplify]: Extracting #3: cost 10 inf + 0 414.098 * * [simplify]: Extracting #4: cost 20 inf + 0 414.099 * * [simplify]: Extracting #5: cost 131 inf + 0 414.100 * * [simplify]: Extracting #6: cost 297 inf + 1 414.102 * * [simplify]: Extracting #7: cost 340 inf + 1028 414.108 * * [simplify]: Extracting #8: cost 249 inf + 13340 414.123 * * [simplify]: Extracting #9: cost 136 inf + 52258 414.158 * * [simplify]: Extracting #10: cost 19 inf + 99561 414.201 * * [simplify]: Extracting #11: cost 2 inf + 112380 414.242 * * [simplify]: Extracting #12: cost 0 inf + 115870 414.282 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 414.282 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 414.283 * * * * [progress]: [ 1224 / 4754 ] simplifiying candidate # 414.284 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 414.284 * * [simplify]: iters left: 6 (49 enodes) 414.310 * * [simplify]: iters left: 5 (247 enodes) 414.403 * * [simplify]: Extracting #0: cost 1 inf + 0 414.403 * * [simplify]: Extracting #1: cost 3 inf + 0 414.403 * * [simplify]: Extracting #2: cost 6 inf + 0 414.403 * * [simplify]: Extracting #3: cost 10 inf + 0 414.403 * * [simplify]: Extracting #4: cost 20 inf + 0 414.404 * * [simplify]: Extracting #5: cost 134 inf + 0 414.404 * * [simplify]: Extracting #6: cost 299 inf + 1 414.405 * * [simplify]: Extracting #7: cost 332 inf + 1516 414.408 * * [simplify]: Extracting #8: cost 253 inf + 12081 414.415 * * [simplify]: Extracting #9: cost 139 inf + 46842 414.441 * * [simplify]: Extracting #10: cost 22 inf + 98435 414.478 * * [simplify]: Extracting #11: cost 3 inf + 110111 414.515 * * [simplify]: Extracting #12: cost 0 inf + 113946 414.536 * * [simplify]: Extracting #13: cost 0 inf + 113866 414.570 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 414.570 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda2 lambda1))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 414.572 * * * * [progress]: [ 1225 / 4754 ] simplifiying candidate # 414.572 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 414.573 * * [simplify]: iters left: 6 (49 enodes) 414.599 * * [simplify]: iters left: 5 (245 enodes) 414.681 * * [simplify]: Extracting #0: cost 1 inf + 0 414.681 * * [simplify]: Extracting #1: cost 3 inf + 0 414.681 * * [simplify]: Extracting #2: cost 6 inf + 0 414.681 * * [simplify]: Extracting #3: cost 10 inf + 0 414.681 * * [simplify]: Extracting #4: cost 22 inf + 0 414.681 * * [simplify]: Extracting #5: cost 133 inf + 0 414.682 * * [simplify]: Extracting #6: cost 281 inf + 44 414.685 * * [simplify]: Extracting #7: cost 299 inf + 2532 414.693 * * [simplify]: Extracting #8: cost 183 inf + 26498 414.706 * * [simplify]: Extracting #9: cost 67 inf + 68753 414.723 * * [simplify]: Extracting #10: cost 11 inf + 96269 414.758 * * [simplify]: Extracting #11: cost 1 inf + 103745 414.796 * * [simplify]: Extracting #12: cost 0 inf + 105450 414.831 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) 414.831 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda2 lambda1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 414.832 * * * * [progress]: [ 1226 / 4754 ] simplifiying candidate # 414.832 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 414.832 * * [simplify]: iters left: 6 (47 enodes) 414.846 * * [simplify]: iters left: 5 (233 enodes) 414.933 * * [simplify]: Extracting #0: cost 1 inf + 0 414.934 * * [simplify]: Extracting #1: cost 3 inf + 0 414.934 * * [simplify]: Extracting #2: cost 6 inf + 0 414.934 * * [simplify]: Extracting #3: cost 10 inf + 0 414.934 * * [simplify]: Extracting #4: cost 24 inf + 0 414.934 * * [simplify]: Extracting #5: cost 136 inf + 0 414.935 * * [simplify]: Extracting #6: cost 261 inf + 1 414.937 * * [simplify]: Extracting #7: cost 286 inf + 1394 414.939 * * [simplify]: Extracting #8: cost 208 inf + 14095 414.945 * * [simplify]: Extracting #9: cost 142 inf + 36247 414.959 * * [simplify]: Extracting #10: cost 31 inf + 85585 414.990 * * [simplify]: Extracting #11: cost 1 inf + 101571 415.014 * * [simplify]: Extracting #12: cost 0 inf + 102636 415.039 * * [simplify]: Extracting #13: cost 0 inf + 102596 415.076 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 415.076 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 415.077 * * * * [progress]: [ 1227 / 4754 ] simplifiying candidate # 415.077 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 415.078 * * [simplify]: iters left: 6 (48 enodes) 415.103 * * [simplify]: iters left: 5 (241 enodes) 415.202 * * [simplify]: Extracting #0: cost 1 inf + 0 415.202 * * [simplify]: Extracting #1: cost 3 inf + 0 415.202 * * [simplify]: Extracting #2: cost 6 inf + 0 415.202 * * [simplify]: Extracting #3: cost 10 inf + 0 415.202 * * [simplify]: Extracting #4: cost 24 inf + 0 415.203 * * [simplify]: Extracting #5: cost 142 inf + 0 415.203 * * [simplify]: Extracting #6: cost 278 inf + 44 415.205 * * [simplify]: Extracting #7: cost 295 inf + 2212 415.210 * * [simplify]: Extracting #8: cost 156 inf + 36066 415.226 * * [simplify]: Extracting #9: cost 48 inf + 77535 415.260 * * [simplify]: Extracting #10: cost 6 inf + 98425 415.287 * * [simplify]: Extracting #11: cost 0 inf + 101521 415.311 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 415.311 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (+ lambda2 lambda1) (- phi1 phi2))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 415.312 * * * * [progress]: [ 1228 / 4754 ] simplifiying candidate # 415.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 415.313 * * [simplify]: iters left: 6 (46 enodes) 415.338 * * [simplify]: iters left: 5 (230 enodes) 415.415 * * [simplify]: Extracting #0: cost 1 inf + 0 415.415 * * [simplify]: Extracting #1: cost 3 inf + 0 415.415 * * [simplify]: Extracting #2: cost 6 inf + 0 415.415 * * [simplify]: Extracting #3: cost 10 inf + 0 415.415 * * [simplify]: Extracting #4: cost 24 inf + 0 415.415 * * [simplify]: Extracting #5: cost 135 inf + 0 415.416 * * [simplify]: Extracting #6: cost 260 inf + 1 415.417 * * [simplify]: Extracting #7: cost 290 inf + 743 415.419 * * [simplify]: Extracting #8: cost 222 inf + 11458 415.428 * * [simplify]: Extracting #9: cost 140 inf + 34358 415.454 * * [simplify]: Extracting #10: cost 36 inf + 80691 415.490 * * [simplify]: Extracting #11: cost 2 inf + 102542 415.513 * * [simplify]: Extracting #12: cost 0 inf + 105152 415.543 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 415.543 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 415.544 * * * * [progress]: [ 1229 / 4754 ] simplifiying candidate # 415.545 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 415.545 * * [simplify]: iters left: 6 (48 enodes) 415.570 * * [simplify]: iters left: 5 (241 enodes) 415.659 * * [simplify]: Extracting #0: cost 1 inf + 0 415.659 * * [simplify]: Extracting #1: cost 3 inf + 0 415.659 * * [simplify]: Extracting #2: cost 6 inf + 0 415.659 * * [simplify]: Extracting #3: cost 10 inf + 0 415.659 * * [simplify]: Extracting #4: cost 24 inf + 0 415.660 * * [simplify]: Extracting #5: cost 141 inf + 0 415.660 * * [simplify]: Extracting #6: cost 278 inf + 44 415.661 * * [simplify]: Extracting #7: cost 295 inf + 2212 415.665 * * [simplify]: Extracting #8: cost 188 inf + 23759 415.673 * * [simplify]: Extracting #9: cost 113 inf + 47666 415.687 * * [simplify]: Extracting #10: cost 32 inf + 81655 415.708 * * [simplify]: Extracting #11: cost 1 inf + 100016 415.744 * * [simplify]: Extracting #12: cost 0 inf + 101761 415.783 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 415.784 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (+ (* (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 415.784 * * * * [progress]: [ 1230 / 4754 ] simplifiying candidate # 415.785 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 415.785 * * [simplify]: iters left: 6 (47 enodes) 415.814 * * [simplify]: iters left: 5 (238 enodes) 415.896 * * [simplify]: Extracting #0: cost 1 inf + 0 415.896 * * [simplify]: Extracting #1: cost 3 inf + 0 415.896 * * [simplify]: Extracting #2: cost 6 inf + 0 415.896 * * [simplify]: Extracting #3: cost 10 inf + 0 415.896 * * [simplify]: Extracting #4: cost 20 inf + 0 415.897 * * [simplify]: Extracting #5: cost 122 inf + 0 415.898 * * [simplify]: Extracting #6: cost 263 inf + 3 415.900 * * [simplify]: Extracting #7: cost 287 inf + 2715 415.904 * * [simplify]: Extracting #8: cost 214 inf + 13856 415.915 * * [simplify]: Extracting #9: cost 120 inf + 38918 415.939 * * [simplify]: Extracting #10: cost 31 inf + 77483 415.970 * * [simplify]: Extracting #11: cost 3 inf + 92909 415.994 * * [simplify]: Extracting #12: cost 0 inf + 96751 416.013 * * [simplify]: Extracting #13: cost 0 inf + 96478 416.042 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 416.042 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 416.043 * * * * [progress]: [ 1231 / 4754 ] simplifiying candidate # 416.043 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 416.044 * * [simplify]: iters left: 6 (47 enodes) 416.056 * * [simplify]: iters left: 5 (236 enodes) 416.149 * * [simplify]: Extracting #0: cost 1 inf + 0 416.149 * * [simplify]: Extracting #1: cost 3 inf + 0 416.149 * * [simplify]: Extracting #2: cost 6 inf + 0 416.149 * * [simplify]: Extracting #3: cost 10 inf + 0 416.149 * * [simplify]: Extracting #4: cost 23 inf + 0 416.150 * * [simplify]: Extracting #5: cost 129 inf + 0 416.151 * * [simplify]: Extracting #6: cost 264 inf + 1 416.153 * * [simplify]: Extracting #7: cost 286 inf + 2244 416.160 * * [simplify]: Extracting #8: cost 187 inf + 21395 416.182 * * [simplify]: Extracting #9: cost 72 inf + 62736 416.213 * * [simplify]: Extracting #10: cost 6 inf + 91079 416.244 * * [simplify]: Extracting #11: cost 0 inf + 95843 416.280 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 416.281 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 416.281 * * * * [progress]: [ 1232 / 4754 ] simplifiying candidate # 416.281 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 416.282 * * [simplify]: iters left: 6 (48 enodes) 416.294 * * [simplify]: iters left: 5 (254 enodes) 416.376 * * [simplify]: Extracting #0: cost 1 inf + 0 416.376 * * [simplify]: Extracting #1: cost 3 inf + 0 416.376 * * [simplify]: Extracting #2: cost 6 inf + 0 416.376 * * [simplify]: Extracting #3: cost 10 inf + 0 416.376 * * [simplify]: Extracting #4: cost 20 inf + 0 416.377 * * [simplify]: Extracting #5: cost 129 inf + 0 416.378 * * [simplify]: Extracting #6: cost 298 inf + 44 416.380 * * [simplify]: Extracting #7: cost 352 inf + 2371 416.388 * * [simplify]: Extracting #8: cost 186 inf + 42808 416.406 * * [simplify]: Extracting #9: cost 36 inf + 104120 416.434 * * [simplify]: Extracting #10: cost 9 inf + 115886 416.456 * * [simplify]: Extracting #11: cost 2 inf + 121329 416.490 * * [simplify]: Extracting #12: cost 0 inf + 124859 416.513 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 416.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 416.514 * * * * [progress]: [ 1233 / 4754 ] simplifiying candidate # 416.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 416.514 * * [simplify]: iters left: 6 (48 enodes) 416.539 * * [simplify]: iters left: 5 (252 enodes) 416.657 * * [simplify]: Extracting #0: cost 1 inf + 0 416.657 * * [simplify]: Extracting #1: cost 3 inf + 0 416.657 * * [simplify]: Extracting #2: cost 6 inf + 0 416.657 * * [simplify]: Extracting #3: cost 10 inf + 0 416.657 * * [simplify]: Extracting #4: cost 20 inf + 0 416.657 * * [simplify]: Extracting #5: cost 124 inf + 0 416.658 * * [simplify]: Extracting #6: cost 290 inf + 44 416.661 * * [simplify]: Extracting #7: cost 327 inf + 4961 416.677 * * [simplify]: Extracting #8: cost 162 inf + 47127 416.703 * * [simplify]: Extracting #9: cost 33 inf + 97684 416.725 * * [simplify]: Extracting #10: cost 10 inf + 109190 416.750 * * [simplify]: Extracting #11: cost 1 inf + 116430 416.774 * * [simplify]: Extracting #12: cost 0 inf + 118175 416.804 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 416.804 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 416.805 * * * * [progress]: [ 1234 / 4754 ] simplifiying candidate # 416.806 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 416.806 * * [simplify]: iters left: 6 (48 enodes) 416.823 * * [simplify]: iters left: 5 (252 enodes) 416.906 * * [simplify]: Extracting #0: cost 1 inf + 0 416.906 * * [simplify]: Extracting #1: cost 3 inf + 0 416.906 * * [simplify]: Extracting #2: cost 6 inf + 0 416.906 * * [simplify]: Extracting #3: cost 10 inf + 0 416.906 * * [simplify]: Extracting #4: cost 20 inf + 0 416.906 * * [simplify]: Extracting #5: cost 127 inf + 0 416.911 * * [simplify]: Extracting #6: cost 289 inf + 44 416.913 * * [simplify]: Extracting #7: cost 327 inf + 3345 416.923 * * [simplify]: Extracting #8: cost 200 inf + 30325 416.950 * * [simplify]: Extracting #9: cost 59 inf + 82414 416.978 * * [simplify]: Extracting #10: cost 6 inf + 107283 417.005 * * [simplify]: Extracting #11: cost 0 inf + 115220 417.036 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 417.036 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 417.037 * * * * [progress]: [ 1235 / 4754 ] simplifiying candidate # 417.037 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 417.037 * * [simplify]: iters left: 6 (42 enodes) 417.049 * * [simplify]: iters left: 5 (220 enodes) 417.124 * * [simplify]: Extracting #0: cost 1 inf + 0 417.124 * * [simplify]: Extracting #1: cost 3 inf + 0 417.124 * * [simplify]: Extracting #2: cost 6 inf + 0 417.124 * * [simplify]: Extracting #3: cost 10 inf + 0 417.125 * * [simplify]: Extracting #4: cost 20 inf + 0 417.125 * * [simplify]: Extracting #5: cost 122 inf + 0 417.126 * * [simplify]: Extracting #6: cost 262 inf + 44 417.128 * * [simplify]: Extracting #7: cost 287 inf + 3104 417.139 * * [simplify]: Extracting #8: cost 173 inf + 25941 417.164 * * [simplify]: Extracting #9: cost 37 inf + 79476 417.196 * * [simplify]: Extracting #10: cost 8 inf + 90250 417.229 * * [simplify]: Extracting #11: cost 2 inf + 95227 417.251 * * [simplify]: Extracting #12: cost 0 inf + 98077 417.275 * * [simplify]: Extracting #13: cost 0 inf + 97717 417.296 * * [simplify]: Extracting #14: cost 0 inf + 97477 417.320 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 417.320 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1)) (- phi1 phi2))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 417.321 * * * * [progress]: [ 1236 / 4754 ] simplifiying candidate # 417.321 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 417.322 * * [simplify]: iters left: 6 (47 enodes) 417.343 * * [simplify]: iters left: 5 (246 enodes) 417.414 * * [simplify]: Extracting #0: cost 1 inf + 0 417.414 * * [simplify]: Extracting #1: cost 3 inf + 0 417.415 * * [simplify]: Extracting #2: cost 6 inf + 0 417.415 * * [simplify]: Extracting #3: cost 10 inf + 0 417.415 * * [simplify]: Extracting #4: cost 24 inf + 0 417.415 * * [simplify]: Extracting #5: cost 143 inf + 0 417.415 * * [simplify]: Extracting #6: cost 283 inf + 85 417.417 * * [simplify]: Extracting #7: cost 306 inf + 3672 417.421 * * [simplify]: Extracting #8: cost 192 inf + 30704 417.438 * * [simplify]: Extracting #9: cost 48 inf + 86283 417.477 * * [simplify]: Extracting #10: cost 10 inf + 102185 417.517 * * [simplify]: Extracting #11: cost 1 inf + 109590 417.554 * * [simplify]: Extracting #12: cost 0 inf + 111335 417.594 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 417.594 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 417.596 * * * * [progress]: [ 1237 / 4754 ] simplifiying candidate # 417.596 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 417.597 * * [simplify]: iters left: 6 (41 enodes) 417.618 * * [simplify]: iters left: 5 (210 enodes) 417.688 * * [simplify]: Extracting #0: cost 1 inf + 0 417.688 * * [simplify]: Extracting #1: cost 3 inf + 0 417.688 * * [simplify]: Extracting #2: cost 6 inf + 0 417.688 * * [simplify]: Extracting #3: cost 10 inf + 0 417.688 * * [simplify]: Extracting #4: cost 24 inf + 0 417.688 * * [simplify]: Extracting #5: cost 118 inf + 0 417.689 * * [simplify]: Extracting #6: cost 233 inf + 44 417.691 * * [simplify]: Extracting #7: cost 256 inf + 3623 417.697 * * [simplify]: Extracting #8: cost 123 inf + 34307 417.709 * * [simplify]: Extracting #9: cost 23 inf + 71537 417.730 * * [simplify]: Extracting #10: cost 8 inf + 78793 417.761 * * [simplify]: Extracting #11: cost 2 inf + 84610 417.791 * * [simplify]: Extracting #12: cost 0 inf + 87340 417.808 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 417.808 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 417.809 * * * * [progress]: [ 1238 / 4754 ] simplifiying candidate # 417.809 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 417.809 * * [simplify]: iters left: 6 (47 enodes) 417.823 * * [simplify]: iters left: 5 (246 enodes) 417.937 * * [simplify]: Extracting #0: cost 1 inf + 0 417.937 * * [simplify]: Extracting #1: cost 3 inf + 0 417.937 * * [simplify]: Extracting #2: cost 6 inf + 0 417.938 * * [simplify]: Extracting #3: cost 10 inf + 0 417.938 * * [simplify]: Extracting #4: cost 24 inf + 0 417.938 * * [simplify]: Extracting #5: cost 143 inf + 0 417.939 * * [simplify]: Extracting #6: cost 283 inf + 85 417.941 * * [simplify]: Extracting #7: cost 306 inf + 3672 417.950 * * [simplify]: Extracting #8: cost 197 inf + 28965 417.984 * * [simplify]: Extracting #9: cost 43 inf + 94348 418.024 * * [simplify]: Extracting #10: cost 4 inf + 111714 418.062 * * [simplify]: Extracting #11: cost 0 inf + 112575 418.083 * * [simplify]: Extracting #12: cost 0 inf + 112295 418.117 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 418.117 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 418.118 * * * * [progress]: [ 1239 / 4754 ] simplifiying candidate # 418.119 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 418.119 * * [simplify]: iters left: 6 (40 enodes) 418.136 * * [simplify]: iters left: 5 (208 enodes) 418.190 * * [simplify]: Extracting #0: cost 1 inf + 0 418.190 * * [simplify]: Extracting #1: cost 3 inf + 0 418.190 * * [simplify]: Extracting #2: cost 6 inf + 0 418.190 * * [simplify]: Extracting #3: cost 10 inf + 0 418.190 * * [simplify]: Extracting #4: cost 24 inf + 0 418.190 * * [simplify]: Extracting #5: cost 116 inf + 0 418.191 * * [simplify]: Extracting #6: cost 232 inf + 44 418.192 * * [simplify]: Extracting #7: cost 256 inf + 2776 418.196 * * [simplify]: Extracting #8: cost 158 inf + 23420 418.210 * * [simplify]: Extracting #9: cost 34 inf + 67642 418.229 * * [simplify]: Extracting #10: cost 7 inf + 80374 418.246 * * [simplify]: Extracting #11: cost 1 inf + 86431 418.272 * * [simplify]: Extracting #12: cost 0 inf + 87896 418.293 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) 418.293 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda2 lambda2) (* lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 418.294 * * * * [progress]: [ 1240 / 4754 ] simplifiying candidate # 418.294 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 418.294 * * [simplify]: iters left: 6 (46 enodes) 418.308 * * [simplify]: iters left: 5 (231 enodes) 418.390 * * [simplify]: Extracting #0: cost 1 inf + 0 418.390 * * [simplify]: Extracting #1: cost 3 inf + 0 418.390 * * [simplify]: Extracting #2: cost 6 inf + 0 418.390 * * [simplify]: Extracting #3: cost 10 inf + 0 418.391 * * [simplify]: Extracting #4: cost 20 inf + 0 418.391 * * [simplify]: Extracting #5: cost 119 inf + 0 418.393 * * [simplify]: Extracting #6: cost 257 inf + 44 418.396 * * [simplify]: Extracting #7: cost 284 inf + 3471 418.403 * * [simplify]: Extracting #8: cost 188 inf + 21255 418.423 * * [simplify]: Extracting #9: cost 100 inf + 52344 418.445 * * [simplify]: Extracting #10: cost 18 inf + 92477 418.464 * * [simplify]: Extracting #11: cost 2 inf + 105091 418.494 * * [simplify]: Extracting #12: cost 0 inf + 108541 418.514 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 418.514 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 418.515 * * * * [progress]: [ 1241 / 4754 ] simplifiying candidate # 418.515 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 418.515 * * [simplify]: iters left: 6 (46 enodes) 418.533 * * [simplify]: iters left: 5 (233 enodes) 418.602 * * [simplify]: Extracting #0: cost 1 inf + 0 418.602 * * [simplify]: Extracting #1: cost 3 inf + 0 418.602 * * [simplify]: Extracting #2: cost 6 inf + 0 418.602 * * [simplify]: Extracting #3: cost 10 inf + 0 418.602 * * [simplify]: Extracting #4: cost 20 inf + 0 418.602 * * [simplify]: Extracting #5: cost 116 inf + 0 418.603 * * [simplify]: Extracting #6: cost 264 inf + 44 418.604 * * [simplify]: Extracting #7: cost 300 inf + 2092 418.608 * * [simplify]: Extracting #8: cost 184 inf + 23207 418.622 * * [simplify]: Extracting #9: cost 67 inf + 69154 418.646 * * [simplify]: Extracting #10: cost 10 inf + 97198 418.665 * * [simplify]: Extracting #11: cost 2 inf + 105572 418.700 * * [simplify]: Extracting #12: cost 0 inf + 109022 418.740 * * [simplify]: Extracting #13: cost 0 inf + 108702 418.781 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 418.781 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 418.782 * * * * [progress]: [ 1242 / 4754 ] simplifiying candidate # 418.783 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 418.783 * * [simplify]: iters left: 6 (46 enodes) 418.806 * * [simplify]: iters left: 5 (231 enodes) 418.908 * * [simplify]: Extracting #0: cost 1 inf + 0 418.908 * * [simplify]: Extracting #1: cost 3 inf + 0 418.908 * * [simplify]: Extracting #2: cost 6 inf + 0 418.908 * * [simplify]: Extracting #3: cost 10 inf + 0 418.908 * * [simplify]: Extracting #4: cost 20 inf + 0 418.908 * * [simplify]: Extracting #5: cost 121 inf + 0 418.909 * * [simplify]: Extracting #6: cost 251 inf + 44 418.910 * * [simplify]: Extracting #7: cost 275 inf + 2865 418.914 * * [simplify]: Extracting #8: cost 157 inf + 29512 418.927 * * [simplify]: Extracting #9: cost 42 inf + 78209 418.953 * * [simplify]: Extracting #10: cost 12 inf + 91197 418.988 * * [simplify]: Extracting #11: cost 1 inf + 99192 419.012 * * [simplify]: Extracting #12: cost 0 inf + 100377 419.032 * * [simplify]: Extracting #13: cost 0 inf + 100217 419.067 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 419.067 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.068 * * * * [progress]: [ 1243 / 4754 ] simplifiying candidate # 419.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 419.069 * * [simplify]: iters left: 6 (40 enodes) 419.089 * * [simplify]: iters left: 5 (195 enodes) 419.150 * * [simplify]: Extracting #0: cost 1 inf + 0 419.150 * * [simplify]: Extracting #1: cost 3 inf + 0 419.151 * * [simplify]: Extracting #2: cost 6 inf + 0 419.151 * * [simplify]: Extracting #3: cost 10 inf + 0 419.151 * * [simplify]: Extracting #4: cost 20 inf + 0 419.151 * * [simplify]: Extracting #5: cost 112 inf + 0 419.152 * * [simplify]: Extracting #6: cost 213 inf + 44 419.153 * * [simplify]: Extracting #7: cost 214 inf + 4840 419.159 * * [simplify]: Extracting #8: cost 89 inf + 36634 419.170 * * [simplify]: Extracting #9: cost 21 inf + 68000 419.186 * * [simplify]: Extracting #10: cost 3 inf + 79143 419.201 * * [simplify]: Extracting #11: cost 0 inf + 80072 419.221 * * [simplify]: Extracting #12: cost 0 inf + 80032 419.247 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))))))) 419.247 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.248 * * * * [progress]: [ 1244 / 4754 ] simplifiying candidate # 419.248 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 419.249 * * [simplify]: iters left: 6 (45 enodes) 419.270 * * [simplify]: iters left: 5 (227 enodes) 419.345 * * [simplify]: Extracting #0: cost 1 inf + 0 419.345 * * [simplify]: Extracting #1: cost 3 inf + 0 419.346 * * [simplify]: Extracting #2: cost 6 inf + 0 419.346 * * [simplify]: Extracting #3: cost 10 inf + 0 419.346 * * [simplify]: Extracting #4: cost 24 inf + 0 419.346 * * [simplify]: Extracting #5: cost 135 inf + 0 419.348 * * [simplify]: Extracting #6: cost 256 inf + 85 419.350 * * [simplify]: Extracting #7: cost 270 inf + 2699 419.359 * * [simplify]: Extracting #8: cost 155 inf + 30455 419.377 * * [simplify]: Extracting #9: cost 49 inf + 73673 419.394 * * [simplify]: Extracting #10: cost 7 inf + 91168 419.424 * * [simplify]: Extracting #11: cost 1 inf + 99398 419.461 * * [simplify]: Extracting #12: cost 0 inf + 100623 419.496 * * [simplify]: Extracting #13: cost 0 inf + 100463 419.514 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.514 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.515 * * * * [progress]: [ 1245 / 4754 ] simplifiying candidate # 419.515 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 419.515 * * [simplify]: iters left: 6 (38 enodes) 419.526 * * [simplify]: iters left: 5 (179 enodes) 419.576 * * [simplify]: Extracting #0: cost 1 inf + 0 419.577 * * [simplify]: Extracting #1: cost 3 inf + 0 419.577 * * [simplify]: Extracting #2: cost 5 inf + 0 419.577 * * [simplify]: Extracting #3: cost 7 inf + 0 419.577 * * [simplify]: Extracting #4: cost 14 inf + 0 419.577 * * [simplify]: Extracting #5: cost 77 inf + 0 419.577 * * [simplify]: Extracting #6: cost 171 inf + 2 419.578 * * [simplify]: Extracting #7: cost 196 inf + 542 419.579 * * [simplify]: Extracting #8: cost 136 inf + 15326 419.584 * * [simplify]: Extracting #9: cost 60 inf + 39089 419.597 * * [simplify]: Extracting #10: cost 11 inf + 51706 419.617 * * [simplify]: Extracting #11: cost 0 inf + 59621 419.628 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.628 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.628 * * * * [progress]: [ 1246 / 4754 ] simplifiying candidate # 419.629 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 419.629 * * [simplify]: iters left: 6 (45 enodes) 419.641 * * [simplify]: iters left: 5 (227 enodes) 419.705 * * [simplify]: Extracting #0: cost 1 inf + 0 419.705 * * [simplify]: Extracting #1: cost 3 inf + 0 419.705 * * [simplify]: Extracting #2: cost 6 inf + 0 419.705 * * [simplify]: Extracting #3: cost 10 inf + 0 419.705 * * [simplify]: Extracting #4: cost 24 inf + 0 419.706 * * [simplify]: Extracting #5: cost 135 inf + 0 419.707 * * [simplify]: Extracting #6: cost 256 inf + 85 419.709 * * [simplify]: Extracting #7: cost 266 inf + 3429 419.719 * * [simplify]: Extracting #8: cost 152 inf + 31303 419.742 * * [simplify]: Extracting #9: cost 45 inf + 76493 419.780 * * [simplify]: Extracting #10: cost 9 inf + 90451 419.797 * * [simplify]: Extracting #11: cost 5 inf + 93698 419.815 * * [simplify]: Extracting #12: cost 1 inf + 100278 419.845 * * [simplify]: Extracting #13: cost 0 inf + 101583 419.863 * * [simplify]: Extracting #14: cost 0 inf + 101423 419.887 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.887 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 419.888 * * * * [progress]: [ 1247 / 4754 ] simplifiying candidate # 419.889 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 419.889 * * [simplify]: iters left: 6 (34 enodes) 419.907 * * [simplify]: iters left: 5 (162 enodes) 419.942 * * [simplify]: iters left: 4 (464 enodes) 420.327 * * [simplify]: Extracting #0: cost 1 inf + 0 420.327 * * [simplify]: Extracting #1: cost 4 inf + 0 420.327 * * [simplify]: Extracting #2: cost 7 inf + 0 420.327 * * [simplify]: Extracting #3: cost 19 inf + 0 420.328 * * [simplify]: Extracting #4: cost 241 inf + 0 420.329 * * [simplify]: Extracting #5: cost 645 inf + 86 420.335 * * [simplify]: Extracting #6: cost 680 inf + 18416 420.355 * * [simplify]: Extracting #7: cost 375 inf + 101030 420.390 * * [simplify]: Extracting #8: cost 302 inf + 117955 420.443 * * [simplify]: Extracting #9: cost 91 inf + 205412 420.541 * * [simplify]: Extracting #10: cost 0 inf + 251715 420.603 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) 420.603 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 420.604 * * * * [progress]: [ 1248 / 4754 ] simplifiying candidate # 420.604 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 420.604 * * [simplify]: iters left: 6 (48 enodes) 420.618 * * [simplify]: iters left: 5 (245 enodes) 420.699 * * [simplify]: Extracting #0: cost 1 inf + 0 420.699 * * [simplify]: Extracting #1: cost 3 inf + 0 420.699 * * [simplify]: Extracting #2: cost 6 inf + 0 420.699 * * [simplify]: Extracting #3: cost 10 inf + 0 420.700 * * [simplify]: Extracting #4: cost 20 inf + 0 420.700 * * [simplify]: Extracting #5: cost 140 inf + 0 420.700 * * [simplify]: Extracting #6: cost 286 inf + 44 420.703 * * [simplify]: Extracting #7: cost 312 inf + 5047 420.710 * * [simplify]: Extracting #8: cost 223 inf + 19766 420.722 * * [simplify]: Extracting #9: cost 116 inf + 56705 420.745 * * [simplify]: Extracting #10: cost 25 inf + 101276 420.780 * * [simplify]: Extracting #11: cost 1 inf + 120090 420.802 * * [simplify]: Extracting #12: cost 0 inf + 121835 420.827 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 420.827 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 420.828 * * * * [progress]: [ 1249 / 4754 ] simplifiying candidate # 420.829 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 420.830 * * [simplify]: iters left: 6 (48 enodes) 420.857 * * [simplify]: iters left: 5 (247 enodes) 420.946 * * [simplify]: Extracting #0: cost 1 inf + 0 420.946 * * [simplify]: Extracting #1: cost 3 inf + 0 420.946 * * [simplify]: Extracting #2: cost 6 inf + 0 420.946 * * [simplify]: Extracting #3: cost 10 inf + 0 420.947 * * [simplify]: Extracting #4: cost 20 inf + 0 420.950 * * [simplify]: Extracting #5: cost 138 inf + 0 420.951 * * [simplify]: Extracting #6: cost 294 inf + 44 420.952 * * [simplify]: Extracting #7: cost 328 inf + 3225 420.956 * * [simplify]: Extracting #8: cost 235 inf + 17067 420.963 * * [simplify]: Extracting #9: cost 148 inf + 42754 420.983 * * [simplify]: Extracting #10: cost 37 inf + 98616 421.026 * * [simplify]: Extracting #11: cost 2 inf + 121531 421.070 * * [simplify]: Extracting #12: cost 0 inf + 122621 421.114 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 421.115 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 421.116 * * * * [progress]: [ 1250 / 4754 ] simplifiying candidate # 421.117 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 421.117 * * [simplify]: iters left: 6 (48 enodes) 421.136 * * [simplify]: iters left: 5 (247 enodes) 421.230 * * [simplify]: Extracting #0: cost 1 inf + 0 421.230 * * [simplify]: Extracting #1: cost 3 inf + 0 421.230 * * [simplify]: Extracting #2: cost 6 inf + 0 421.230 * * [simplify]: Extracting #3: cost 10 inf + 0 421.230 * * [simplify]: Extracting #4: cost 20 inf + 0 421.231 * * [simplify]: Extracting #5: cost 149 inf + 0 421.232 * * [simplify]: Extracting #6: cost 286 inf + 44 421.234 * * [simplify]: Extracting #7: cost 313 inf + 3427 421.247 * * [simplify]: Extracting #8: cost 160 inf + 44324 421.278 * * [simplify]: Extracting #9: cost 34 inf + 100678 421.300 * * [simplify]: Extracting #10: cost 6 inf + 115029 421.344 * * [simplify]: Extracting #11: cost 0 inf + 117154 421.385 * * [simplify]: Extracting #12: cost 0 inf + 116994 421.412 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) 421.412 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 421.413 * * * * [progress]: [ 1251 / 4754 ] simplifiying candidate # 421.413 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 421.413 * * [simplify]: iters left: 6 (42 enodes) 421.426 * * [simplify]: iters left: 5 (211 enodes) 421.487 * * [simplify]: Extracting #0: cost 1 inf + 0 421.487 * * [simplify]: Extracting #1: cost 3 inf + 0 421.487 * * [simplify]: Extracting #2: cost 6 inf + 0 421.488 * * [simplify]: Extracting #3: cost 10 inf + 0 421.488 * * [simplify]: Extracting #4: cost 20 inf + 0 421.488 * * [simplify]: Extracting #5: cost 141 inf + 0 421.488 * * [simplify]: Extracting #6: cost 250 inf + 44 421.490 * * [simplify]: Extracting #7: cost 264 inf + 3103 421.494 * * [simplify]: Extracting #8: cost 151 inf + 29091 421.506 * * [simplify]: Extracting #9: cost 34 inf + 75249 421.526 * * [simplify]: Extracting #10: cost 2 inf + 92948 421.543 * * [simplify]: Extracting #11: cost 0 inf + 94598 421.576 * * [simplify]: Extracting #12: cost 0 inf + 94558 421.610 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 421.610 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (+ phi2 phi1)))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 421.612 * * * * [progress]: [ 1252 / 4754 ] simplifiying candidate # 421.612 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 421.613 * * [simplify]: iters left: 6 (47 enodes) 421.637 * * [simplify]: iters left: 5 (241 enodes) 421.717 * * [simplify]: Extracting #0: cost 1 inf + 0 421.718 * * [simplify]: Extracting #1: cost 3 inf + 0 421.718 * * [simplify]: Extracting #2: cost 6 inf + 0 421.718 * * [simplify]: Extracting #3: cost 10 inf + 0 421.718 * * [simplify]: Extracting #4: cost 28 inf + 0 421.718 * * [simplify]: Extracting #5: cost 181 inf + 0 421.720 * * [simplify]: Extracting #6: cost 305 inf + 85 421.723 * * [simplify]: Extracting #7: cost 304 inf + 6300 421.736 * * [simplify]: Extracting #8: cost 180 inf + 40406 421.772 * * [simplify]: Extracting #9: cost 46 inf + 100414 421.811 * * [simplify]: Extracting #10: cost 8 inf + 119246 421.855 * * [simplify]: Extracting #11: cost 0 inf + 125014 421.879 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 421.879 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 421.879 * * * * [progress]: [ 1253 / 4754 ] simplifiying candidate # 421.880 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 421.880 * * [simplify]: iters left: 6 (41 enodes) 421.893 * * [simplify]: iters left: 5 (205 enodes) 421.957 * * [simplify]: Extracting #0: cost 1 inf + 0 421.958 * * [simplify]: Extracting #1: cost 4 inf + 0 421.958 * * [simplify]: Extracting #2: cost 7 inf + 0 421.958 * * [simplify]: Extracting #3: cost 14 inf + 0 421.958 * * [simplify]: Extracting #4: cost 91 inf + 0 421.959 * * [simplify]: Extracting #5: cost 191 inf + 2 421.960 * * [simplify]: Extracting #6: cost 208 inf + 2366 421.966 * * [simplify]: Extracting #7: cost 112 inf + 22050 421.982 * * [simplify]: Extracting #8: cost 23 inf + 54372 422.008 * * [simplify]: Extracting #9: cost 6 inf + 60304 422.032 * * [simplify]: Extracting #10: cost 0 inf + 65534 422.047 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) 422.048 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 422.048 * * * * [progress]: [ 1254 / 4754 ] simplifiying candidate # 422.049 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 422.049 * * [simplify]: iters left: 6 (47 enodes) 422.066 * * [simplify]: iters left: 5 (241 enodes) 422.167 * * [simplify]: Extracting #0: cost 1 inf + 0 422.167 * * [simplify]: Extracting #1: cost 3 inf + 0 422.167 * * [simplify]: Extracting #2: cost 6 inf + 0 422.167 * * [simplify]: Extracting #3: cost 10 inf + 0 422.167 * * [simplify]: Extracting #4: cost 28 inf + 0 422.168 * * [simplify]: Extracting #5: cost 182 inf + 0 422.169 * * [simplify]: Extracting #6: cost 307 inf + 85 422.173 * * [simplify]: Extracting #7: cost 311 inf + 5446 422.186 * * [simplify]: Extracting #8: cost 186 inf + 41373 422.209 * * [simplify]: Extracting #9: cost 29 inf + 113602 422.239 * * [simplify]: Extracting #10: cost 2 inf + 126398 422.262 * * [simplify]: Extracting #11: cost 0 inf + 126662 422.312 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 422.312 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 422.313 * * * * [progress]: [ 1255 / 4754 ] simplifiying candidate # 422.314 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 422.314 * * [simplify]: iters left: 6 (40 enodes) 422.337 * * [simplify]: iters left: 5 (202 enodes) 422.992 * * [simplify]: Extracting #0: cost 1 inf + 0 422.992 * * [simplify]: Extracting #1: cost 4 inf + 0 422.992 * * [simplify]: Extracting #2: cost 7 inf + 0 422.992 * * [simplify]: Extracting #3: cost 14 inf + 0 422.992 * * [simplify]: Extracting #4: cost 85 inf + 0 422.993 * * [simplify]: Extracting #5: cost 179 inf + 44 422.995 * * [simplify]: Extracting #6: cost 199 inf + 2044 422.998 * * [simplify]: Extracting #7: cost 153 inf + 11308 423.008 * * [simplify]: Extracting #8: cost 78 inf + 29592 423.027 * * [simplify]: Extracting #9: cost 14 inf + 51970 423.049 * * [simplify]: Extracting #10: cost 2 inf + 59804 423.072 * * [simplify]: Extracting #11: cost 0 inf + 61814 423.090 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) 423.090 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 423.090 * * * * [progress]: [ 1256 / 4754 ] simplifiying candidate # 423.094 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 423.094 * * [simplify]: iters left: 6 (48 enodes) 423.108 * * [simplify]: iters left: 5 (253 enodes) 423.195 * * [simplify]: Extracting #0: cost 1 inf + 0 423.195 * * [simplify]: Extracting #1: cost 3 inf + 0 423.196 * * [simplify]: Extracting #2: cost 6 inf + 0 423.196 * * [simplify]: Extracting #3: cost 10 inf + 0 423.196 * * [simplify]: Extracting #4: cost 20 inf + 0 423.196 * * [simplify]: Extracting #5: cost 129 inf + 0 423.197 * * [simplify]: Extracting #6: cost 299 inf + 44 423.200 * * [simplify]: Extracting #7: cost 336 inf + 2252 423.211 * * [simplify]: Extracting #8: cost 193 inf + 34822 423.232 * * [simplify]: Extracting #9: cost 33 inf + 97111 423.254 * * [simplify]: Extracting #10: cost 6 inf + 109309 423.289 * * [simplify]: Extracting #11: cost 0 inf + 111994 423.319 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 423.319 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 423.320 * * * * [progress]: [ 1257 / 4754 ] simplifiying candidate # 423.320 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 423.321 * * [simplify]: iters left: 6 (48 enodes) 423.338 * * [simplify]: iters left: 5 (251 enodes) 423.438 * * [simplify]: Extracting #0: cost 1 inf + 0 423.438 * * [simplify]: Extracting #1: cost 3 inf + 0 423.439 * * [simplify]: Extracting #2: cost 6 inf + 0 423.439 * * [simplify]: Extracting #3: cost 10 inf + 0 423.439 * * [simplify]: Extracting #4: cost 20 inf + 0 423.439 * * [simplify]: Extracting #5: cost 124 inf + 0 423.440 * * [simplify]: Extracting #6: cost 291 inf + 44 423.443 * * [simplify]: Extracting #7: cost 319 inf + 3344 423.451 * * [simplify]: Extracting #8: cost 204 inf + 21883 423.468 * * [simplify]: Extracting #9: cost 107 inf + 52878 423.497 * * [simplify]: Extracting #10: cost 24 inf + 89003 423.532 * * [simplify]: Extracting #11: cost 1 inf + 105365 423.571 * * [simplify]: Extracting #12: cost 0 inf + 107070 423.592 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 423.592 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 423.592 * * * * [progress]: [ 1258 / 4754 ] simplifiying candidate # 423.593 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 423.593 * * [simplify]: iters left: 6 (48 enodes) 423.606 * * [simplify]: iters left: 5 (251 enodes) 423.678 * * [simplify]: Extracting #0: cost 1 inf + 0 423.678 * * [simplify]: Extracting #1: cost 3 inf + 0 423.678 * * [simplify]: Extracting #2: cost 6 inf + 0 423.678 * * [simplify]: Extracting #3: cost 10 inf + 0 423.678 * * [simplify]: Extracting #4: cost 20 inf + 0 423.678 * * [simplify]: Extracting #5: cost 127 inf + 0 423.679 * * [simplify]: Extracting #6: cost 289 inf + 44 423.681 * * [simplify]: Extracting #7: cost 312 inf + 3062 423.684 * * [simplify]: Extracting #8: cost 213 inf + 19291 423.692 * * [simplify]: Extracting #9: cost 115 inf + 48493 423.707 * * [simplify]: Extracting #10: cost 26 inf + 86359 423.746 * * [simplify]: Extracting #11: cost 1 inf + 102585 423.783 * * [simplify]: Extracting #12: cost 0 inf + 104290 423.819 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))) 423.819 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))))) (cbrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 423.820 * * * * [progress]: [ 1259 / 4754 ] simplifiying candidate # 423.821 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 423.821 * * [simplify]: iters left: 6 (42 enodes) 423.844 * * [simplify]: iters left: 5 (218 enodes) 423.944 * * [simplify]: Extracting #0: cost 1 inf + 0 423.944 * * [simplify]: Extracting #1: cost 3 inf + 0 423.944 * * [simplify]: Extracting #2: cost 6 inf + 0 423.944 * * [simplify]: Extracting #3: cost 10 inf + 0 423.944 * * [simplify]: Extracting #4: cost 20 inf + 0 423.944 * * [simplify]: Extracting #5: cost 123 inf + 0 423.946 * * [simplify]: Extracting #6: cost 261 inf + 44 423.948 * * [simplify]: Extracting #7: cost 266 inf + 4356 423.957 * * [simplify]: Extracting #8: cost 145 inf + 29088 423.982 * * [simplify]: Extracting #9: cost 22 inf + 73086 424.012 * * [simplify]: Extracting #10: cost 1 inf + 84678 424.047 * * [simplify]: Extracting #11: cost 0 inf + 85983 424.078 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 424.078 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 424.079 * * * * [progress]: [ 1260 / 4754 ] simplifiying candidate # 424.079 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 424.080 * * [simplify]: iters left: 6 (47 enodes) 424.104 * * [simplify]: iters left: 5 (245 enodes) 424.198 * * [simplify]: Extracting #0: cost 1 inf + 0 424.198 * * [simplify]: Extracting #1: cost 3 inf + 0 424.198 * * [simplify]: Extracting #2: cost 6 inf + 0 424.198 * * [simplify]: Extracting #3: cost 10 inf + 0 424.198 * * [simplify]: Extracting #4: cost 24 inf + 0 424.198 * * [simplify]: Extracting #5: cost 143 inf + 0 424.199 * * [simplify]: Extracting #6: cost 283 inf + 85 424.200 * * [simplify]: Extracting #7: cost 295 inf + 2822 424.204 * * [simplify]: Extracting #8: cost 188 inf + 24731 424.216 * * [simplify]: Extracting #9: cost 54 inf + 69258 424.233 * * [simplify]: Extracting #10: cost 12 inf + 91117 424.251 * * [simplify]: Extracting #11: cost 0 inf + 99546 424.271 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 424.271 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 424.272 * * * * [progress]: [ 1261 / 4754 ] simplifiying candidate # 424.272 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 424.272 * * [simplify]: iters left: 6 (41 enodes) 424.283 * * [simplify]: iters left: 5 (208 enodes) 424.328 * * [simplify]: Extracting #0: cost 1 inf + 0 424.328 * * [simplify]: Extracting #1: cost 3 inf + 0 424.328 * * [simplify]: Extracting #2: cost 6 inf + 0 424.328 * * [simplify]: Extracting #3: cost 10 inf + 0 424.328 * * [simplify]: Extracting #4: cost 24 inf + 0 424.328 * * [simplify]: Extracting #5: cost 118 inf + 0 424.329 * * [simplify]: Extracting #6: cost 230 inf + 44 424.333 * * [simplify]: Extracting #7: cost 232 inf + 3749 424.336 * * [simplify]: Extracting #8: cost 125 inf + 25508 424.355 * * [simplify]: Extracting #9: cost 25 inf + 61281 424.373 * * [simplify]: Extracting #10: cost 2 inf + 74736 424.388 * * [simplify]: Extracting #11: cost 0 inf + 76293 424.407 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 424.407 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 424.408 * * * * [progress]: [ 1262 / 4754 ] simplifiying candidate # 424.409 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 424.409 * * [simplify]: iters left: 6 (47 enodes) 424.434 * * [simplify]: iters left: 5 (245 enodes) 424.546 * * [simplify]: Extracting #0: cost 1 inf + 0 424.546 * * [simplify]: Extracting #1: cost 3 inf + 0 424.546 * * [simplify]: Extracting #2: cost 6 inf + 0 424.546 * * [simplify]: Extracting #3: cost 10 inf + 0 424.546 * * [simplify]: Extracting #4: cost 24 inf + 0 424.547 * * [simplify]: Extracting #5: cost 143 inf + 0 424.548 * * [simplify]: Extracting #6: cost 283 inf + 85 424.550 * * [simplify]: Extracting #7: cost 295 inf + 2822 424.558 * * [simplify]: Extracting #8: cost 188 inf + 25091 424.584 * * [simplify]: Extracting #9: cost 61 inf + 67108 424.604 * * [simplify]: Extracting #10: cost 11 inf + 92220 424.626 * * [simplify]: Extracting #11: cost 0 inf + 100186 424.657 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 424.657 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda2 lambda1) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 424.658 * * * * [progress]: [ 1263 / 4754 ] simplifiying candidate # 424.658 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 424.658 * * [simplify]: iters left: 6 (40 enodes) 424.669 * * [simplify]: iters left: 5 (205 enodes) 424.733 * * [simplify]: Extracting #0: cost 1 inf + 0 424.733 * * [simplify]: Extracting #1: cost 3 inf + 0 424.733 * * [simplify]: Extracting #2: cost 6 inf + 0 424.733 * * [simplify]: Extracting #3: cost 10 inf + 0 424.733 * * [simplify]: Extracting #4: cost 24 inf + 0 424.733 * * [simplify]: Extracting #5: cost 117 inf + 0 424.734 * * [simplify]: Extracting #6: cost 230 inf + 44 424.735 * * [simplify]: Extracting #7: cost 230 inf + 4679 424.739 * * [simplify]: Extracting #8: cost 130 inf + 25452 424.757 * * [simplify]: Extracting #9: cost 18 inf + 65831 424.785 * * [simplify]: Extracting #10: cost 5 inf + 73556 424.810 * * [simplify]: Extracting #11: cost 0 inf + 76813 424.824 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))))) 424.825 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi2 phi1) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 424.825 * * * * [progress]: [ 1264 / 4754 ] simplifiying candidate # 424.825 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 424.826 * * [simplify]: iters left: 6 (49 enodes) 424.848 * * [simplify]: iters left: 5 (245 enodes) 424.924 * * [simplify]: Extracting #0: cost 1 inf + 0 424.925 * * [simplify]: Extracting #1: cost 3 inf + 0 424.925 * * [simplify]: Extracting #2: cost 6 inf + 0 424.925 * * [simplify]: Extracting #3: cost 10 inf + 0 424.925 * * [simplify]: Extracting #4: cost 20 inf + 0 424.925 * * [simplify]: Extracting #5: cost 125 inf + 0 424.926 * * [simplify]: Extracting #6: cost 274 inf + 44 424.929 * * [simplify]: Extracting #7: cost 310 inf + 2780 424.935 * * [simplify]: Extracting #8: cost 223 inf + 17531 424.948 * * [simplify]: Extracting #9: cost 130 inf + 46107 424.976 * * [simplify]: Extracting #10: cost 34 inf + 88895 425.011 * * [simplify]: Extracting #11: cost 3 inf + 108583 425.053 * * [simplify]: Extracting #12: cost 0 inf + 113218 425.092 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 425.092 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 425.093 * * * * [progress]: [ 1265 / 4754 ] simplifiying candidate # 425.093 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 425.094 * * [simplify]: iters left: 6 (49 enodes) 425.119 * * [simplify]: iters left: 5 (247 enodes) 425.216 * * [simplify]: Extracting #0: cost 1 inf + 0 425.216 * * [simplify]: Extracting #1: cost 3 inf + 0 425.216 * * [simplify]: Extracting #2: cost 6 inf + 0 425.216 * * [simplify]: Extracting #3: cost 10 inf + 0 425.216 * * [simplify]: Extracting #4: cost 20 inf + 0 425.216 * * [simplify]: Extracting #5: cost 126 inf + 0 425.217 * * [simplify]: Extracting #6: cost 284 inf + 44 425.219 * * [simplify]: Extracting #7: cost 316 inf + 2903 425.227 * * [simplify]: Extracting #8: cost 212 inf + 20619 425.242 * * [simplify]: Extracting #9: cost 136 inf + 46159 425.273 * * [simplify]: Extracting #10: cost 24 inf + 96036 425.309 * * [simplify]: Extracting #11: cost 5 inf + 106188 425.350 * * [simplify]: Extracting #12: cost 2 inf + 110983 425.371 * * [simplify]: Extracting #13: cost 0 inf + 114513 425.403 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 425.403 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 425.404 * * * * [progress]: [ 1266 / 4754 ] simplifiying candidate # 425.404 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 425.405 * * [simplify]: iters left: 6 (49 enodes) 425.431 * * [simplify]: iters left: 5 (247 enodes) 425.516 * * [simplify]: Extracting #0: cost 1 inf + 0 425.516 * * [simplify]: Extracting #1: cost 3 inf + 0 425.516 * * [simplify]: Extracting #2: cost 6 inf + 0 425.516 * * [simplify]: Extracting #3: cost 10 inf + 0 425.516 * * [simplify]: Extracting #4: cost 20 inf + 0 425.516 * * [simplify]: Extracting #5: cost 129 inf + 0 425.518 * * [simplify]: Extracting #6: cost 283 inf + 44 425.520 * * [simplify]: Extracting #7: cost 310 inf + 3062 425.530 * * [simplify]: Extracting #8: cost 184 inf + 30706 425.560 * * [simplify]: Extracting #9: cost 49 inf + 84483 425.595 * * [simplify]: Extracting #10: cost 10 inf + 101347 425.631 * * [simplify]: Extracting #11: cost 2 inf + 108508 425.670 * * [simplify]: Extracting #12: cost 0 inf + 112278 425.709 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 425.709 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 425.710 * * * * [progress]: [ 1267 / 4754 ] simplifiying candidate # 425.710 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 425.710 * * [simplify]: iters left: 6 (43 enodes) 425.723 * * [simplify]: iters left: 5 (211 enodes) 425.781 * * [simplify]: Extracting #0: cost 1 inf + 0 425.781 * * [simplify]: Extracting #1: cost 3 inf + 0 425.781 * * [simplify]: Extracting #2: cost 6 inf + 0 425.781 * * [simplify]: Extracting #3: cost 10 inf + 0 425.781 * * [simplify]: Extracting #4: cost 20 inf + 0 425.782 * * [simplify]: Extracting #5: cost 120 inf + 0 425.783 * * [simplify]: Extracting #6: cost 246 inf + 44 425.785 * * [simplify]: Extracting #7: cost 258 inf + 3183 425.789 * * [simplify]: Extracting #8: cost 186 inf + 14313 425.795 * * [simplify]: Extracting #9: cost 110 inf + 39576 425.810 * * [simplify]: Extracting #10: cost 23 inf + 73777 425.833 * * [simplify]: Extracting #11: cost 5 inf + 84572 425.865 * * [simplify]: Extracting #12: cost 0 inf + 90817 425.889 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 425.889 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 425.889 * * * * [progress]: [ 1268 / 4754 ] simplifiying candidate # 425.890 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 425.890 * * [simplify]: iters left: 6 (48 enodes) 425.906 * * [simplify]: iters left: 5 (241 enodes) 425.987 * * [simplify]: Extracting #0: cost 1 inf + 0 425.987 * * [simplify]: Extracting #1: cost 3 inf + 0 425.987 * * [simplify]: Extracting #2: cost 6 inf + 0 425.987 * * [simplify]: Extracting #3: cost 10 inf + 0 425.987 * * [simplify]: Extracting #4: cost 24 inf + 0 425.988 * * [simplify]: Extracting #5: cost 145 inf + 0 425.989 * * [simplify]: Extracting #6: cost 277 inf + 85 425.991 * * [simplify]: Extracting #7: cost 287 inf + 3636 425.998 * * [simplify]: Extracting #8: cost 209 inf + 17293 426.011 * * [simplify]: Extracting #9: cost 124 inf + 45922 426.042 * * [simplify]: Extracting #10: cost 25 inf + 89003 426.064 * * [simplify]: Extracting #11: cost 1 inf + 104893 426.083 * * [simplify]: Extracting #12: cost 0 inf + 106638 426.116 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 426.116 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 426.117 * * * * [progress]: [ 1269 / 4754 ] simplifiying candidate # 426.117 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 426.118 * * [simplify]: iters left: 6 (42 enodes) 426.140 * * [simplify]: iters left: 5 (205 enodes) 426.229 * * [simplify]: Extracting #0: cost 1 inf + 0 426.229 * * [simplify]: Extracting #1: cost 3 inf + 0 426.229 * * [simplify]: Extracting #2: cost 6 inf + 0 426.229 * * [simplify]: Extracting #3: cost 10 inf + 0 426.229 * * [simplify]: Extracting #4: cost 24 inf + 0 426.230 * * [simplify]: Extracting #5: cost 123 inf + 0 426.231 * * [simplify]: Extracting #6: cost 230 inf + 44 426.233 * * [simplify]: Extracting #7: cost 244 inf + 2332 426.237 * * [simplify]: Extracting #8: cost 171 inf + 14551 426.243 * * [simplify]: Extracting #9: cost 102 inf + 35274 426.254 * * [simplify]: Extracting #10: cost 24 inf + 66694 426.270 * * [simplify]: Extracting #11: cost 6 inf + 75344 426.288 * * [simplify]: Extracting #12: cost 2 inf + 80884 426.318 * * [simplify]: Extracting #13: cost 0 inf + 83414 426.339 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 426.339 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 426.339 * * * * [progress]: [ 1270 / 4754 ] simplifiying candidate # 426.340 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 426.340 * * [simplify]: iters left: 6 (48 enodes) 426.355 * * [simplify]: iters left: 5 (241 enodes) 426.411 * * [simplify]: Extracting #0: cost 1 inf + 0 426.411 * * [simplify]: Extracting #1: cost 3 inf + 0 426.411 * * [simplify]: Extracting #2: cost 6 inf + 0 426.411 * * [simplify]: Extracting #3: cost 10 inf + 0 426.411 * * [simplify]: Extracting #4: cost 24 inf + 0 426.411 * * [simplify]: Extracting #5: cost 145 inf + 0 426.412 * * [simplify]: Extracting #6: cost 277 inf + 85 426.414 * * [simplify]: Extracting #7: cost 288 inf + 3512 426.420 * * [simplify]: Extracting #8: cost 209 inf + 17373 426.434 * * [simplify]: Extracting #9: cost 123 inf + 46806 426.461 * * [simplify]: Extracting #10: cost 25 inf + 89603 426.500 * * [simplify]: Extracting #11: cost 1 inf + 105533 426.537 * * [simplify]: Extracting #12: cost 0 inf + 107278 426.556 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 426.556 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 426.557 * * * * [progress]: [ 1271 / 4754 ] simplifiying candidate # 426.557 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 426.558 * * [simplify]: iters left: 6 (41 enodes) 426.569 * * [simplify]: iters left: 5 (203 enodes) 426.634 * * [simplify]: Extracting #0: cost 1 inf + 0 426.634 * * [simplify]: Extracting #1: cost 3 inf + 0 426.635 * * [simplify]: Extracting #2: cost 6 inf + 0 426.635 * * [simplify]: Extracting #3: cost 10 inf + 0 426.635 * * [simplify]: Extracting #4: cost 24 inf + 0 426.635 * * [simplify]: Extracting #5: cost 121 inf + 0 426.636 * * [simplify]: Extracting #6: cost 229 inf + 44 426.638 * * [simplify]: Extracting #7: cost 238 inf + 3224 426.643 * * [simplify]: Extracting #8: cost 175 inf + 12849 426.653 * * [simplify]: Extracting #9: cost 108 inf + 33523 426.667 * * [simplify]: Extracting #10: cost 21 inf + 68555 426.682 * * [simplify]: Extracting #11: cost 0 inf + 82930 426.706 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 426.706 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 426.706 * * * * [progress]: [ 1272 / 4754 ] simplifiying candidate # 426.707 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 426.707 * * [simplify]: iters left: 6 (49 enodes) 426.721 * * [simplify]: iters left: 5 (244 enodes) 426.803 * * [simplify]: Extracting #0: cost 1 inf + 0 426.803 * * [simplify]: Extracting #1: cost 3 inf + 0 426.803 * * [simplify]: Extracting #2: cost 6 inf + 0 426.803 * * [simplify]: Extracting #3: cost 10 inf + 0 426.803 * * [simplify]: Extracting #4: cost 20 inf + 0 426.804 * * [simplify]: Extracting #5: cost 120 inf + 0 426.804 * * [simplify]: Extracting #6: cost 271 inf + 44 426.805 * * [simplify]: Extracting #7: cost 307 inf + 3142 426.809 * * [simplify]: Extracting #8: cost 216 inf + 18868 426.816 * * [simplify]: Extracting #9: cost 136 inf + 41210 426.831 * * [simplify]: Extracting #10: cost 31 inf + 85177 426.849 * * [simplify]: Extracting #11: cost 4 inf + 99565 426.884 * * [simplify]: Extracting #12: cost 0 inf + 104745 426.910 * * [simplify]: Extracting #13: cost 0 inf + 104665 426.938 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 426.938 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 426.939 * * * * [progress]: [ 1273 / 4754 ] simplifiying candidate # 426.939 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 426.940 * * [simplify]: iters left: 6 (49 enodes) 426.966 * * [simplify]: iters left: 5 (246 enodes) 427.060 * * [simplify]: Extracting #0: cost 1 inf + 0 427.060 * * [simplify]: Extracting #1: cost 3 inf + 0 427.060 * * [simplify]: Extracting #2: cost 6 inf + 0 427.060 * * [simplify]: Extracting #3: cost 10 inf + 0 427.060 * * [simplify]: Extracting #4: cost 20 inf + 0 427.060 * * [simplify]: Extracting #5: cost 121 inf + 0 427.062 * * [simplify]: Extracting #6: cost 281 inf + 44 427.064 * * [simplify]: Extracting #7: cost 309 inf + 4153 427.073 * * [simplify]: Extracting #8: cost 195 inf + 25425 427.080 * * [simplify]: Extracting #9: cost 136 inf + 42012 427.092 * * [simplify]: Extracting #10: cost 51 inf + 74007 427.112 * * [simplify]: Extracting #11: cost 14 inf + 92570 427.133 * * [simplify]: Extracting #12: cost 2 inf + 102230 427.164 * * [simplify]: Extracting #13: cost 0 inf + 105320 427.203 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 427.203 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 427.204 * * * * [progress]: [ 1274 / 4754 ] simplifiying candidate # 427.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 427.205 * * [simplify]: iters left: 6 (49 enodes) 427.227 * * [simplify]: iters left: 5 (246 enodes) 427.311 * * [simplify]: Extracting #0: cost 1 inf + 0 427.312 * * [simplify]: Extracting #1: cost 3 inf + 0 427.312 * * [simplify]: Extracting #2: cost 6 inf + 0 427.312 * * [simplify]: Extracting #3: cost 10 inf + 0 427.312 * * [simplify]: Extracting #4: cost 20 inf + 0 427.312 * * [simplify]: Extracting #5: cost 124 inf + 0 427.314 * * [simplify]: Extracting #6: cost 279 inf + 44 427.317 * * [simplify]: Extracting #7: cost 294 inf + 5570 427.327 * * [simplify]: Extracting #8: cost 178 inf + 29704 427.336 * * [simplify]: Extracting #9: cost 125 inf + 42975 427.352 * * [simplify]: Extracting #10: cost 29 inf + 82628 427.379 * * [simplify]: Extracting #11: cost 3 inf + 98265 427.416 * * [simplify]: Extracting #12: cost 0 inf + 102300 427.441 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))) 427.441 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 427.441 * * * * [progress]: [ 1275 / 4754 ] simplifiying candidate # 427.442 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 427.442 * * [simplify]: iters left: 6 (43 enodes) 427.459 * * [simplify]: iters left: 5 (210 enodes) 427.553 * * [simplify]: Extracting #0: cost 1 inf + 0 427.553 * * [simplify]: Extracting #1: cost 3 inf + 0 427.553 * * [simplify]: Extracting #2: cost 6 inf + 0 427.553 * * [simplify]: Extracting #3: cost 10 inf + 0 427.553 * * [simplify]: Extracting #4: cost 20 inf + 0 427.554 * * [simplify]: Extracting #5: cost 115 inf + 0 427.555 * * [simplify]: Extracting #6: cost 242 inf + 44 427.558 * * [simplify]: Extracting #7: cost 242 inf + 5490 427.567 * * [simplify]: Extracting #8: cost 129 inf + 29539 427.589 * * [simplify]: Extracting #9: cost 29 inf + 67953 427.605 * * [simplify]: Extracting #10: cost 8 inf + 75785 427.622 * * [simplify]: Extracting #11: cost 4 inf + 77859 427.649 * * [simplify]: Extracting #12: cost 0 inf + 83439 427.679 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 427.679 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 427.680 * * * * [progress]: [ 1276 / 4754 ] simplifiying candidate # 427.680 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 427.681 * * [simplify]: iters left: 6 (48 enodes) 427.706 * * [simplify]: iters left: 5 (240 enodes) 427.794 * * [simplify]: Extracting #0: cost 1 inf + 0 427.794 * * [simplify]: Extracting #1: cost 3 inf + 0 427.794 * * [simplify]: Extracting #2: cost 6 inf + 0 427.794 * * [simplify]: Extracting #3: cost 10 inf + 0 427.794 * * [simplify]: Extracting #4: cost 24 inf + 0 427.794 * * [simplify]: Extracting #5: cost 140 inf + 0 427.795 * * [simplify]: Extracting #6: cost 274 inf + 44 427.796 * * [simplify]: Extracting #7: cost 287 inf + 3708 427.800 * * [simplify]: Extracting #8: cost 193 inf + 20056 427.806 * * [simplify]: Extracting #9: cost 122 inf + 40563 427.827 * * [simplify]: Extracting #10: cost 32 inf + 77401 427.860 * * [simplify]: Extracting #11: cost 6 inf + 90051 427.893 * * [simplify]: Extracting #12: cost 2 inf + 94591 427.927 * * [simplify]: Extracting #13: cost 0 inf + 97721 427.960 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 427.961 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 427.961 * * * * [progress]: [ 1277 / 4754 ] simplifiying candidate # 427.961 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 427.962 * * [simplify]: iters left: 6 (42 enodes) 427.973 * * [simplify]: iters left: 5 (203 enodes) 428.024 * * [simplify]: Extracting #0: cost 1 inf + 0 428.024 * * [simplify]: Extracting #1: cost 3 inf + 0 428.024 * * [simplify]: Extracting #2: cost 6 inf + 0 428.025 * * [simplify]: Extracting #3: cost 10 inf + 0 428.025 * * [simplify]: Extracting #4: cost 24 inf + 0 428.025 * * [simplify]: Extracting #5: cost 116 inf + 0 428.026 * * [simplify]: Extracting #6: cost 221 inf + 44 428.028 * * [simplify]: Extracting #7: cost 230 inf + 3141 428.034 * * [simplify]: Extracting #8: cost 138 inf + 20472 428.052 * * [simplify]: Extracting #9: cost 39 inf + 55618 428.068 * * [simplify]: Extracting #10: cost 2 inf + 74276 428.085 * * [simplify]: Extracting #11: cost 0 inf + 75033 428.108 * * [simplify]: Extracting #12: cost 0 inf + 74553 428.135 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 428.135 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 428.136 * * * * [progress]: [ 1278 / 4754 ] simplifiying candidate # 428.137 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 428.137 * * [simplify]: iters left: 6 (48 enodes) 428.156 * * [simplify]: iters left: 5 (240 enodes) 428.225 * * [simplify]: Extracting #0: cost 1 inf + 0 428.225 * * [simplify]: Extracting #1: cost 3 inf + 0 428.225 * * [simplify]: Extracting #2: cost 6 inf + 0 428.225 * * [simplify]: Extracting #3: cost 10 inf + 0 428.225 * * [simplify]: Extracting #4: cost 24 inf + 0 428.225 * * [simplify]: Extracting #5: cost 140 inf + 0 428.226 * * [simplify]: Extracting #6: cost 274 inf + 44 428.227 * * [simplify]: Extracting #7: cost 286 inf + 3832 428.231 * * [simplify]: Extracting #8: cost 195 inf + 19848 428.238 * * [simplify]: Extracting #9: cost 122 inf + 41190 428.262 * * [simplify]: Extracting #10: cost 32 inf + 78041 428.294 * * [simplify]: Extracting #11: cost 6 inf + 90691 428.316 * * [simplify]: Extracting #12: cost 2 inf + 95231 428.350 * * [simplify]: Extracting #13: cost 0 inf + 98361 428.385 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 428.385 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 428.386 * * * * [progress]: [ 1279 / 4754 ] simplifiying candidate # 428.386 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 428.387 * * [simplify]: iters left: 6 (41 enodes) 428.409 * * [simplify]: iters left: 5 (200 enodes) 428.499 * * [simplify]: Extracting #0: cost 1 inf + 0 428.499 * * [simplify]: Extracting #1: cost 3 inf + 0 428.499 * * [simplify]: Extracting #2: cost 6 inf + 0 428.499 * * [simplify]: Extracting #3: cost 10 inf + 0 428.499 * * [simplify]: Extracting #4: cost 24 inf + 0 428.499 * * [simplify]: Extracting #5: cost 114 inf + 0 428.500 * * [simplify]: Extracting #6: cost 220 inf + 44 428.502 * * [simplify]: Extracting #7: cost 222 inf + 3878 428.507 * * [simplify]: Extracting #8: cost 154 inf + 13920 428.517 * * [simplify]: Extracting #9: cost 96 inf + 32882 428.527 * * [simplify]: Extracting #10: cost 27 inf + 57890 428.540 * * [simplify]: Extracting #11: cost 7 inf + 67254 428.559 * * [simplify]: Extracting #12: cost 1 inf + 73604 428.576 * * [simplify]: Extracting #13: cost 0 inf + 74669 428.595 * * [simplify]: Extracting #14: cost 0 inf + 74589 428.617 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 428.618 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 428.618 * * * * [progress]: [ 1280 / 4754 ] simplifiying candidate # 428.618 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 428.619 * * [simplify]: iters left: 6 (49 enodes) 428.632 * * [simplify]: iters left: 5 (245 enodes) 428.738 * * [simplify]: Extracting #0: cost 1 inf + 0 428.738 * * [simplify]: Extracting #1: cost 3 inf + 0 428.738 * * [simplify]: Extracting #2: cost 6 inf + 0 428.738 * * [simplify]: Extracting #3: cost 10 inf + 0 428.738 * * [simplify]: Extracting #4: cost 20 inf + 0 428.738 * * [simplify]: Extracting #5: cost 124 inf + 0 428.739 * * [simplify]: Extracting #6: cost 272 inf + 44 428.740 * * [simplify]: Extracting #7: cost 310 inf + 2738 428.744 * * [simplify]: Extracting #8: cost 224 inf + 17289 428.752 * * [simplify]: Extracting #9: cost 131 inf + 45663 428.775 * * [simplify]: Extracting #10: cost 36 inf + 87405 428.816 * * [simplify]: Extracting #11: cost 3 inf + 107783 428.837 * * [simplify]: Extracting #12: cost 0 inf + 112418 428.861 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 428.861 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 428.862 * * * * [progress]: [ 1281 / 4754 ] simplifiying candidate # 428.863 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 428.863 * * [simplify]: iters left: 6 (49 enodes) 428.885 * * [simplify]: iters left: 5 (247 enodes) 428.977 * * [simplify]: Extracting #0: cost 1 inf + 0 428.977 * * [simplify]: Extracting #1: cost 3 inf + 0 428.977 * * [simplify]: Extracting #2: cost 6 inf + 0 428.977 * * [simplify]: Extracting #3: cost 10 inf + 0 428.977 * * [simplify]: Extracting #4: cost 20 inf + 0 428.977 * * [simplify]: Extracting #5: cost 125 inf + 0 428.978 * * [simplify]: Extracting #6: cost 283 inf + 44 428.981 * * [simplify]: Extracting #7: cost 319 inf + 2699 428.989 * * [simplify]: Extracting #8: cost 200 inf + 26353 429.015 * * [simplify]: Extracting #9: cost 57 inf + 84970 429.043 * * [simplify]: Extracting #10: cost 14 inf + 104003 429.068 * * [simplify]: Extracting #11: cost 2 inf + 110528 429.101 * * [simplify]: Extracting #12: cost 0 inf + 114218 429.122 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 429.122 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 429.123 * * * * [progress]: [ 1282 / 4754 ] simplifiying candidate # 429.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 429.123 * * [simplify]: iters left: 6 (49 enodes) 429.147 * * [simplify]: iters left: 5 (247 enodes) 429.214 * * [simplify]: Extracting #0: cost 1 inf + 0 429.214 * * [simplify]: Extracting #1: cost 3 inf + 0 429.215 * * [simplify]: Extracting #2: cost 6 inf + 0 429.215 * * [simplify]: Extracting #3: cost 10 inf + 0 429.215 * * [simplify]: Extracting #4: cost 20 inf + 0 429.216 * * [simplify]: Extracting #5: cost 128 inf + 0 429.216 * * [simplify]: Extracting #6: cost 281 inf + 44 429.218 * * [simplify]: Extracting #7: cost 308 inf + 3104 429.222 * * [simplify]: Extracting #8: cost 195 inf + 26223 429.243 * * [simplify]: Extracting #9: cost 56 inf + 80722 429.278 * * [simplify]: Extracting #10: cost 18 inf + 97607 429.296 * * [simplify]: Extracting #11: cost 2 inf + 107548 429.320 * * [simplify]: Extracting #12: cost 0 inf + 111318 429.342 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 429.342 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 429.343 * * * * [progress]: [ 1283 / 4754 ] simplifiying candidate # 429.343 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 429.343 * * [simplify]: iters left: 6 (43 enodes) 429.356 * * [simplify]: iters left: 5 (211 enodes) 429.417 * * [simplify]: Extracting #0: cost 1 inf + 0 429.418 * * [simplify]: Extracting #1: cost 3 inf + 0 429.418 * * [simplify]: Extracting #2: cost 6 inf + 0 429.418 * * [simplify]: Extracting #3: cost 10 inf + 0 429.418 * * [simplify]: Extracting #4: cost 20 inf + 0 429.418 * * [simplify]: Extracting #5: cost 119 inf + 0 429.418 * * [simplify]: Extracting #6: cost 244 inf + 44 429.420 * * [simplify]: Extracting #7: cost 259 inf + 3020 429.424 * * [simplify]: Extracting #8: cost 190 inf + 14028 429.436 * * [simplify]: Extracting #9: cost 111 inf + 38389 429.463 * * [simplify]: Extracting #10: cost 25 inf + 72607 429.480 * * [simplify]: Extracting #11: cost 6 inf + 83507 429.497 * * [simplify]: Extracting #12: cost 0 inf + 90017 429.513 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 429.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 429.514 * * * * [progress]: [ 1284 / 4754 ] simplifiying candidate # 429.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 429.514 * * [simplify]: iters left: 6 (48 enodes) 429.528 * * [simplify]: iters left: 5 (241 enodes) 429.593 * * [simplify]: Extracting #0: cost 1 inf + 0 429.594 * * [simplify]: Extracting #1: cost 3 inf + 0 429.594 * * [simplify]: Extracting #2: cost 6 inf + 0 429.594 * * [simplify]: Extracting #3: cost 10 inf + 0 429.594 * * [simplify]: Extracting #4: cost 24 inf + 0 429.594 * * [simplify]: Extracting #5: cost 144 inf + 0 429.595 * * [simplify]: Extracting #6: cost 276 inf + 44 429.596 * * [simplify]: Extracting #7: cost 293 inf + 2861 429.599 * * [simplify]: Extracting #8: cost 213 inf + 16685 429.612 * * [simplify]: Extracting #9: cost 132 inf + 43335 429.642 * * [simplify]: Extracting #10: cost 22 inf + 89318 429.675 * * [simplify]: Extracting #11: cost 1 inf + 104253 429.698 * * [simplify]: Extracting #12: cost 0 inf + 105998 429.735 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 429.735 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 429.736 * * * * [progress]: [ 1285 / 4754 ] simplifiying candidate # 429.736 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 429.737 * * [simplify]: iters left: 6 (42 enodes) 429.757 * * [simplify]: iters left: 5 (205 enodes) 429.814 * * [simplify]: Extracting #0: cost 1 inf + 0 429.814 * * [simplify]: Extracting #1: cost 3 inf + 0 429.814 * * [simplify]: Extracting #2: cost 6 inf + 0 429.814 * * [simplify]: Extracting #3: cost 10 inf + 0 429.814 * * [simplify]: Extracting #4: cost 24 inf + 0 429.815 * * [simplify]: Extracting #5: cost 119 inf + 0 429.816 * * [simplify]: Extracting #6: cost 225 inf + 44 429.817 * * [simplify]: Extracting #7: cost 239 inf + 2457 429.820 * * [simplify]: Extracting #8: cost 146 inf + 22092 429.830 * * [simplify]: Extracting #9: cost 45 inf + 58677 429.843 * * [simplify]: Extracting #10: cost 9 inf + 73605 429.874 * * [simplify]: Extracting #11: cost 1 inf + 81739 429.904 * * [simplify]: Extracting #12: cost 0 inf + 82724 429.934 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 429.934 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1)))))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 429.935 * * * * [progress]: [ 1286 / 4754 ] simplifiying candidate # 429.935 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 429.936 * * [simplify]: iters left: 6 (48 enodes) 429.955 * * [simplify]: iters left: 5 (241 enodes) 430.030 * * [simplify]: Extracting #0: cost 1 inf + 0 430.030 * * [simplify]: Extracting #1: cost 3 inf + 0 430.031 * * [simplify]: Extracting #2: cost 6 inf + 0 430.031 * * [simplify]: Extracting #3: cost 10 inf + 0 430.031 * * [simplify]: Extracting #4: cost 24 inf + 0 430.031 * * [simplify]: Extracting #5: cost 144 inf + 0 430.032 * * [simplify]: Extracting #6: cost 276 inf + 44 430.033 * * [simplify]: Extracting #7: cost 294 inf + 2737 430.036 * * [simplify]: Extracting #8: cost 213 inf + 16765 430.045 * * [simplify]: Extracting #9: cost 131 inf + 44379 430.065 * * [simplify]: Extracting #10: cost 22 inf + 89918 430.087 * * [simplify]: Extracting #11: cost 1 inf + 104893 430.126 * * [simplify]: Extracting #12: cost 0 inf + 106638 430.163 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 430.163 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 430.164 * * * * [progress]: [ 1287 / 4754 ] simplifiying candidate # 430.165 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 430.165 * * [simplify]: iters left: 6 (41 enodes) 430.186 * * [simplify]: iters left: 5 (203 enodes) 430.250 * * [simplify]: Extracting #0: cost 1 inf + 0 430.250 * * [simplify]: Extracting #1: cost 3 inf + 0 430.250 * * [simplify]: Extracting #2: cost 6 inf + 0 430.250 * * [simplify]: Extracting #3: cost 10 inf + 0 430.250 * * [simplify]: Extracting #4: cost 24 inf + 0 430.251 * * [simplify]: Extracting #5: cost 117 inf + 0 430.252 * * [simplify]: Extracting #6: cost 224 inf + 44 430.253 * * [simplify]: Extracting #7: cost 236 inf + 2777 430.255 * * [simplify]: Extracting #8: cost 178 inf + 12321 430.261 * * [simplify]: Extracting #9: cost 108 inf + 32788 430.272 * * [simplify]: Extracting #10: cost 23 inf + 67308 430.293 * * [simplify]: Extracting #11: cost 0 inf + 82080 430.320 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 430.320 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 430.321 * * * * [progress]: [ 1288 / 4754 ] simplifiying candidate # 430.321 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 430.321 * * [simplify]: iters left: 6 (49 enodes) 430.337 * * [simplify]: iters left: 5 (245 enodes) 430.412 * * [simplify]: Extracting #0: cost 1 inf + 0 430.413 * * [simplify]: Extracting #1: cost 3 inf + 0 430.413 * * [simplify]: Extracting #2: cost 6 inf + 0 430.413 * * [simplify]: Extracting #3: cost 10 inf + 0 430.413 * * [simplify]: Extracting #4: cost 20 inf + 0 430.413 * * [simplify]: Extracting #5: cost 121 inf + 0 430.414 * * [simplify]: Extracting #6: cost 275 inf + 44 430.416 * * [simplify]: Extracting #7: cost 306 inf + 2822 430.429 * * [simplify]: Extracting #8: cost 185 inf + 26825 430.455 * * [simplify]: Extracting #9: cost 43 inf + 82030 430.488 * * [simplify]: Extracting #10: cost 8 inf + 94718 430.522 * * [simplify]: Extracting #11: cost 3 inf + 100150 430.560 * * [simplify]: Extracting #12: cost 0 inf + 104665 430.600 * * [simplify]: Extracting #13: cost 0 inf + 104545 430.638 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 430.639 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 430.640 * * * * [progress]: [ 1289 / 4754 ] simplifiying candidate # 430.640 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 430.641 * * [simplify]: iters left: 6 (49 enodes) 430.665 * * [simplify]: iters left: 5 (247 enodes) 430.732 * * [simplify]: Extracting #0: cost 1 inf + 0 430.732 * * [simplify]: Extracting #1: cost 3 inf + 0 430.732 * * [simplify]: Extracting #2: cost 6 inf + 0 430.732 * * [simplify]: Extracting #3: cost 10 inf + 0 430.732 * * [simplify]: Extracting #4: cost 20 inf + 0 430.732 * * [simplify]: Extracting #5: cost 122 inf + 0 430.733 * * [simplify]: Extracting #6: cost 286 inf + 44 430.734 * * [simplify]: Extracting #7: cost 315 inf + 3305 430.739 * * [simplify]: Extracting #8: cost 185 inf + 30212 430.761 * * [simplify]: Extracting #9: cost 43 inf + 83785 430.797 * * [simplify]: Extracting #10: cost 4 inf + 101418 430.823 * * [simplify]: Extracting #11: cost 0 inf + 105865 430.852 * * [simplify]: Extracting #12: cost 0 inf + 105665 430.889 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 430.889 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (cbrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 430.891 * * * * [progress]: [ 1290 / 4754 ] simplifiying candidate # 430.891 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 430.892 * * [simplify]: iters left: 6 (49 enodes) 430.918 * * [simplify]: iters left: 5 (247 enodes) 431.003 * * [simplify]: Extracting #0: cost 1 inf + 0 431.003 * * [simplify]: Extracting #1: cost 3 inf + 0 431.003 * * [simplify]: Extracting #2: cost 6 inf + 0 431.003 * * [simplify]: Extracting #3: cost 10 inf + 0 431.003 * * [simplify]: Extracting #4: cost 20 inf + 0 431.003 * * [simplify]: Extracting #5: cost 125 inf + 0 431.004 * * [simplify]: Extracting #6: cost 284 inf + 44 431.007 * * [simplify]: Extracting #7: cost 310 inf + 2577 431.015 * * [simplify]: Extracting #8: cost 191 inf + 25613 431.039 * * [simplify]: Extracting #9: cost 54 inf + 76415 431.062 * * [simplify]: Extracting #10: cost 7 inf + 95045 431.084 * * [simplify]: Extracting #11: cost 2 inf + 99355 431.113 * * [simplify]: Extracting #12: cost 0 inf + 102325 431.132 * * [simplify]: Extracting #13: cost 0 inf + 102245 431.159 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 431.159 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 431.159 * * * * [progress]: [ 1291 / 4754 ] simplifiying candidate # 431.160 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 431.160 * * [simplify]: iters left: 6 (43 enodes) 431.173 * * [simplify]: iters left: 5 (211 enodes) 431.257 * * [simplify]: Extracting #0: cost 1 inf + 0 431.257 * * [simplify]: Extracting #1: cost 3 inf + 0 431.257 * * [simplify]: Extracting #2: cost 6 inf + 0 431.257 * * [simplify]: Extracting #3: cost 10 inf + 0 431.257 * * [simplify]: Extracting #4: cost 20 inf + 0 431.257 * * [simplify]: Extracting #5: cost 116 inf + 0 431.258 * * [simplify]: Extracting #6: cost 247 inf + 44 431.260 * * [simplify]: Extracting #7: cost 257 inf + 3062 431.267 * * [simplify]: Extracting #8: cost 153 inf + 22049 431.290 * * [simplify]: Extracting #9: cost 33 inf + 67124 431.317 * * [simplify]: Extracting #10: cost 9 inf + 75785 431.338 * * [simplify]: Extracting #11: cost 2 inf + 81174 431.353 * * [simplify]: Extracting #12: cost 0 inf + 83464 431.379 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 431.379 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 431.380 * * * * [progress]: [ 1292 / 4754 ] simplifiying candidate # 431.380 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 431.381 * * [simplify]: iters left: 6 (48 enodes) 431.405 * * [simplify]: iters left: 5 (241 enodes) 431.469 * * [simplify]: Extracting #0: cost 1 inf + 0 431.469 * * [simplify]: Extracting #1: cost 3 inf + 0 431.469 * * [simplify]: Extracting #2: cost 6 inf + 0 431.469 * * [simplify]: Extracting #3: cost 10 inf + 0 431.469 * * [simplify]: Extracting #4: cost 24 inf + 0 431.469 * * [simplify]: Extracting #5: cost 141 inf + 0 431.470 * * [simplify]: Extracting #6: cost 278 inf + 44 431.471 * * [simplify]: Extracting #7: cost 286 inf + 4033 431.477 * * [simplify]: Extracting #8: cost 164 inf + 30816 431.489 * * [simplify]: Extracting #9: cost 46 inf + 75910 431.521 * * [simplify]: Extracting #10: cost 6 inf + 89371 431.546 * * [simplify]: Extracting #11: cost 1 inf + 95976 431.566 * * [simplify]: Extracting #12: cost 0 inf + 97761 431.584 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 431.584 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 431.584 * * * * [progress]: [ 1293 / 4754 ] simplifiying candidate # 431.585 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 431.585 * * [simplify]: iters left: 6 (42 enodes) 431.597 * * [simplify]: iters left: 5 (205 enodes) 431.654 * * [simplify]: Extracting #0: cost 1 inf + 0 431.654 * * [simplify]: Extracting #1: cost 3 inf + 0 431.654 * * [simplify]: Extracting #2: cost 6 inf + 0 431.655 * * [simplify]: Extracting #3: cost 10 inf + 0 431.655 * * [simplify]: Extracting #4: cost 24 inf + 0 431.655 * * [simplify]: Extracting #5: cost 120 inf + 0 431.656 * * [simplify]: Extracting #6: cost 230 inf + 44 431.657 * * [simplify]: Extracting #7: cost 235 inf + 3751 431.661 * * [simplify]: Extracting #8: cost 148 inf + 19736 431.666 * * [simplify]: Extracting #9: cost 94 inf + 33852 431.678 * * [simplify]: Extracting #10: cost 14 inf + 66253 431.695 * * [simplify]: Extracting #11: cost 1 inf + 75672 431.709 * * [simplify]: Extracting #12: cost 0 inf + 76657 431.735 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 431.735 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (+ phi2 phi1)))) (cbrt (+ (* (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 431.736 * * * * [progress]: [ 1294 / 4754 ] simplifiying candidate # 431.736 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 431.737 * * [simplify]: iters left: 6 (48 enodes) 431.762 * * [simplify]: iters left: 5 (241 enodes) 431.841 * * [simplify]: Extracting #0: cost 1 inf + 0 431.841 * * [simplify]: Extracting #1: cost 3 inf + 0 431.841 * * [simplify]: Extracting #2: cost 6 inf + 0 431.841 * * [simplify]: Extracting #3: cost 10 inf + 0 431.842 * * [simplify]: Extracting #4: cost 24 inf + 0 431.842 * * [simplify]: Extracting #5: cost 141 inf + 0 431.843 * * [simplify]: Extracting #6: cost 278 inf + 44 431.846 * * [simplify]: Extracting #7: cost 285 inf + 4157 431.852 * * [simplify]: Extracting #8: cost 169 inf + 29717 431.864 * * [simplify]: Extracting #9: cost 50 inf + 74625 431.889 * * [simplify]: Extracting #10: cost 6 inf + 90051 431.926 * * [simplify]: Extracting #11: cost 1 inf + 96616 431.945 * * [simplify]: Extracting #12: cost 0 inf + 98401 431.964 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 431.964 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 431.964 * * * * [progress]: [ 1295 / 4754 ] simplifiying candidate # 431.965 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 431.965 * * [simplify]: iters left: 6 (41 enodes) 431.976 * * [simplify]: iters left: 5 (202 enodes) 432.041 * * [simplify]: Extracting #0: cost 1 inf + 0 432.041 * * [simplify]: Extracting #1: cost 3 inf + 0 432.041 * * [simplify]: Extracting #2: cost 6 inf + 0 432.041 * * [simplify]: Extracting #3: cost 10 inf + 0 432.041 * * [simplify]: Extracting #4: cost 24 inf + 0 432.041 * * [simplify]: Extracting #5: cost 118 inf + 0 432.042 * * [simplify]: Extracting #6: cost 229 inf + 44 432.043 * * [simplify]: Extracting #7: cost 231 inf + 3750 432.045 * * [simplify]: Extracting #8: cost 161 inf + 14882 432.051 * * [simplify]: Extracting #9: cost 96 inf + 34138 432.062 * * [simplify]: Extracting #10: cost 22 inf + 63689 432.086 * * [simplify]: Extracting #11: cost 5 inf + 71008 432.113 * * [simplify]: Extracting #12: cost 1 inf + 75388 432.145 * * [simplify]: Extracting #13: cost 0 inf + 76693 432.173 * * [simplify]: Extracting #14: cost 0 inf + 76613 432.187 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 432.187 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi2 phi1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 432.188 * * * * [progress]: [ 1296 / 4754 ] simplifiying candidate # 432.188 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 432.189 * * [simplify]: iters left: 6 (42 enodes) 432.200 * * [simplify]: iters left: 5 (210 enodes) 432.292 * * [simplify]: Extracting #0: cost 1 inf + 0 432.292 * * [simplify]: Extracting #1: cost 3 inf + 0 432.292 * * [simplify]: Extracting #2: cost 6 inf + 0 432.292 * * [simplify]: Extracting #3: cost 10 inf + 0 432.292 * * [simplify]: Extracting #4: cost 20 inf + 0 432.292 * * [simplify]: Extracting #5: cost 113 inf + 0 432.293 * * [simplify]: Extracting #6: cost 242 inf + 46 432.296 * * [simplify]: Extracting #7: cost 236 inf + 6567 432.304 * * [simplify]: Extracting #8: cost 128 inf + 29218 432.322 * * [simplify]: Extracting #9: cost 37 inf + 59025 432.345 * * [simplify]: Extracting #10: cost 10 inf + 69304 432.372 * * [simplify]: Extracting #11: cost 1 inf + 77889 432.395 * * [simplify]: Extracting #12: cost 0 inf + 79194 432.410 * * [simplify]: Extracting #13: cost 0 inf + 79154 432.430 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1))))))) 432.430 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (+ lambda2 lambda1))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 432.431 * * * * [progress]: [ 1297 / 4754 ] simplifiying candidate # 432.432 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 432.432 * * [simplify]: iters left: 6 (42 enodes) 432.451 * * [simplify]: iters left: 5 (208 enodes) 432.501 * * [simplify]: Extracting #0: cost 1 inf + 0 432.501 * * [simplify]: Extracting #1: cost 3 inf + 0 432.501 * * [simplify]: Extracting #2: cost 6 inf + 0 432.501 * * [simplify]: Extracting #3: cost 10 inf + 0 432.501 * * [simplify]: Extracting #4: cost 23 inf + 0 432.501 * * [simplify]: Extracting #5: cost 120 inf + 0 432.502 * * [simplify]: Extracting #6: cost 243 inf + 44 432.503 * * [simplify]: Extracting #7: cost 231 inf + 7367 432.507 * * [simplify]: Extracting #8: cost 120 inf + 30186 432.518 * * [simplify]: Extracting #9: cost 30 inf + 62569 432.543 * * [simplify]: Extracting #10: cost 1 inf + 76094 432.571 * * [simplify]: Extracting #11: cost 0 inf + 76479 432.586 * * [simplify]: Extracting #12: cost 0 inf + 76439 432.605 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) 432.605 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 432.606 * * * * [progress]: [ 1298 / 4754 ] simplifiying candidate # 432.607 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 432.607 * * [simplify]: iters left: 6 (45 enodes) 432.633 * * [simplify]: iters left: 5 (232 enodes) 432.720 * * [simplify]: Extracting #0: cost 1 inf + 0 432.720 * * [simplify]: Extracting #1: cost 3 inf + 0 432.720 * * [simplify]: Extracting #2: cost 6 inf + 0 432.720 * * [simplify]: Extracting #3: cost 10 inf + 0 432.720 * * [simplify]: Extracting #4: cost 16 inf + 0 432.720 * * [simplify]: Extracting #5: cost 107 inf + 0 432.721 * * [simplify]: Extracting #6: cost 266 inf + 0 432.723 * * [simplify]: Extracting #7: cost 333 inf + 1057 432.729 * * [simplify]: Extracting #8: cost 245 inf + 16573 432.750 * * [simplify]: Extracting #9: cost 87 inf + 76453 432.787 * * [simplify]: Extracting #10: cost 9 inf + 118586 432.826 * * [simplify]: Extracting #11: cost 0 inf + 125209 432.855 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) 432.855 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 432.856 * * * * [progress]: [ 1299 / 4754 ] simplifiying candidate # 432.856 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 432.857 * * [simplify]: iters left: 6 (48 enodes) 432.877 * * [simplify]: iters left: 5 (251 enodes) 432.981 * * [simplify]: Extracting #0: cost 1 inf + 0 432.981 * * [simplify]: Extracting #1: cost 3 inf + 0 432.981 * * [simplify]: Extracting #2: cost 6 inf + 0 432.981 * * [simplify]: Extracting #3: cost 10 inf + 0 432.981 * * [simplify]: Extracting #4: cost 16 inf + 0 432.981 * * [simplify]: Extracting #5: cost 112 inf + 0 432.982 * * [simplify]: Extracting #6: cost 296 inf + 0 432.984 * * [simplify]: Extracting #7: cost 355 inf + 2725 432.990 * * [simplify]: Extracting #8: cost 199 inf + 43362 433.010 * * [simplify]: Extracting #9: cost 43 inf + 108156 433.044 * * [simplify]: Extracting #10: cost 7 inf + 123668 433.070 * * [simplify]: Extracting #11: cost 0 inf + 131897 433.103 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 433.104 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 433.105 * * * * [progress]: [ 1300 / 4754 ] simplifiying candidate # 433.107 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 433.107 * * [simplify]: iters left: 6 (48 enodes) 433.132 * * [simplify]: iters left: 5 (251 enodes) 433.239 * * [simplify]: Extracting #0: cost 1 inf + 0 433.239 * * [simplify]: Extracting #1: cost 3 inf + 0 433.239 * * [simplify]: Extracting #2: cost 6 inf + 0 433.239 * * [simplify]: Extracting #3: cost 10 inf + 0 433.239 * * [simplify]: Extracting #4: cost 16 inf + 0 433.239 * * [simplify]: Extracting #5: cost 114 inf + 0 433.240 * * [simplify]: Extracting #6: cost 296 inf + 0 433.241 * * [simplify]: Extracting #7: cost 359 inf + 1796 433.248 * * [simplify]: Extracting #8: cost 180 inf + 47288 433.286 * * [simplify]: Extracting #9: cost 30 inf + 112240 433.334 * * [simplify]: Extracting #10: cost 2 inf + 127047 433.371 * * [simplify]: Extracting #11: cost 0 inf + 130337 433.397 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 433.398 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 433.399 * * * * [progress]: [ 1301 / 4754 ] simplifiying candidate # 433.399 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 433.400 * * [simplify]: iters left: 6 (48 enodes) 433.424 * * [simplify]: iters left: 5 (253 enodes) 433.502 * * [simplify]: Extracting #0: cost 1 inf + 0 433.503 * * [simplify]: Extracting #1: cost 3 inf + 0 433.503 * * [simplify]: Extracting #2: cost 6 inf + 0 433.503 * * [simplify]: Extracting #3: cost 10 inf + 0 433.503 * * [simplify]: Extracting #4: cost 16 inf + 0 433.503 * * [simplify]: Extracting #5: cost 114 inf + 0 433.503 * * [simplify]: Extracting #6: cost 294 inf + 0 433.505 * * [simplify]: Extracting #7: cost 348 inf + 2198 433.511 * * [simplify]: Extracting #8: cost 199 inf + 41241 433.536 * * [simplify]: Extracting #9: cost 44 inf + 101920 433.567 * * [simplify]: Extracting #10: cost 8 inf + 115549 433.590 * * [simplify]: Extracting #11: cost 2 inf + 120340 433.617 * * [simplify]: Extracting #12: cost 0 inf + 123630 433.660 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 433.660 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 433.661 * * * * [progress]: [ 1302 / 4754 ] simplifiying candidate # 433.661 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 433.661 * * [simplify]: iters left: 6 (47 enodes) 433.674 * * [simplify]: iters left: 5 (243 enodes) 433.747 * * [simplify]: Extracting #0: cost 1 inf + 0 433.747 * * [simplify]: Extracting #1: cost 3 inf + 0 433.747 * * [simplify]: Extracting #2: cost 6 inf + 0 433.747 * * [simplify]: Extracting #3: cost 10 inf + 0 433.747 * * [simplify]: Extracting #4: cost 20 inf + 0 433.748 * * [simplify]: Extracting #5: cost 132 inf + 0 433.749 * * [simplify]: Extracting #6: cost 285 inf + 1 433.751 * * [simplify]: Extracting #7: cost 336 inf + 2481 433.763 * * [simplify]: Extracting #8: cost 168 inf + 41914 433.793 * * [simplify]: Extracting #9: cost 54 inf + 94033 433.836 * * [simplify]: Extracting #10: cost 9 inf + 118385 433.881 * * [simplify]: Extracting #11: cost 0 inf + 126478 433.926 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 433.926 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 433.927 * * * * [progress]: [ 1303 / 4754 ] simplifiying candidate # 433.928 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 433.928 * * [simplify]: iters left: 6 (48 enodes) 433.953 * * [simplify]: iters left: 5 (249 enodes) 434.067 * * [simplify]: Extracting #0: cost 1 inf + 0 434.067 * * [simplify]: Extracting #1: cost 3 inf + 0 434.067 * * [simplify]: Extracting #2: cost 6 inf + 0 434.067 * * [simplify]: Extracting #3: cost 10 inf + 0 434.067 * * [simplify]: Extracting #4: cost 20 inf + 0 434.067 * * [simplify]: Extracting #5: cost 124 inf + 0 434.068 * * [simplify]: Extracting #6: cost 281 inf + 44 434.069 * * [simplify]: Extracting #7: cost 320 inf + 3788 434.075 * * [simplify]: Extracting #8: cost 169 inf + 38037 434.092 * * [simplify]: Extracting #9: cost 47 inf + 92697 434.125 * * [simplify]: Extracting #10: cost 3 inf + 114733 434.153 * * [simplify]: Extracting #11: cost 0 inf + 116902 434.175 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 434.175 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 434.176 * * * * [progress]: [ 1304 / 4754 ] simplifiying candidate # 434.176 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 434.176 * * [simplify]: iters left: 6 (47 enodes) 434.189 * * [simplify]: iters left: 5 (243 enodes) 434.267 * * [simplify]: Extracting #0: cost 1 inf + 0 434.267 * * [simplify]: Extracting #1: cost 3 inf + 0 434.267 * * [simplify]: Extracting #2: cost 6 inf + 0 434.267 * * [simplify]: Extracting #3: cost 10 inf + 0 434.267 * * [simplify]: Extracting #4: cost 20 inf + 0 434.268 * * [simplify]: Extracting #5: cost 132 inf + 0 434.269 * * [simplify]: Extracting #6: cost 285 inf + 1 434.271 * * [simplify]: Extracting #7: cost 336 inf + 2481 434.283 * * [simplify]: Extracting #8: cost 169 inf + 42011 434.314 * * [simplify]: Extracting #9: cost 52 inf + 97843 434.353 * * [simplify]: Extracting #10: cost 4 inf + 126510 434.380 * * [simplify]: Extracting #11: cost 0 inf + 127118 434.403 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))))) 434.403 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 434.404 * * * * [progress]: [ 1305 / 4754 ] simplifiying candidate # 434.404 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 434.405 * * [simplify]: iters left: 6 (48 enodes) 434.425 * * [simplify]: iters left: 5 (249 enodes) 434.526 * * [simplify]: Extracting #0: cost 1 inf + 0 434.526 * * [simplify]: Extracting #1: cost 3 inf + 0 434.526 * * [simplify]: Extracting #2: cost 6 inf + 0 434.526 * * [simplify]: Extracting #3: cost 10 inf + 0 434.526 * * [simplify]: Extracting #4: cost 20 inf + 0 434.526 * * [simplify]: Extracting #5: cost 123 inf + 0 434.527 * * [simplify]: Extracting #6: cost 281 inf + 44 434.528 * * [simplify]: Extracting #7: cost 329 inf + 2411 434.533 * * [simplify]: Extracting #8: cost 199 inf + 27585 434.543 * * [simplify]: Extracting #9: cost 111 inf + 56390 434.568 * * [simplify]: Extracting #10: cost 14 inf + 102805 434.601 * * [simplify]: Extracting #11: cost 1 inf + 115437 434.624 * * [simplify]: Extracting #12: cost 0 inf + 117142 434.650 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 434.650 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 434.651 * * * * [progress]: [ 1306 / 4754 ] simplifiying candidate # 434.652 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 434.652 * * [simplify]: iters left: 6 (45 enodes) 434.669 * * [simplify]: iters left: 5 (225 enodes) 434.734 * * [simplify]: Extracting #0: cost 1 inf + 0 434.734 * * [simplify]: Extracting #1: cost 4 inf + 0 434.734 * * [simplify]: Extracting #2: cost 7 inf + 0 434.734 * * [simplify]: Extracting #3: cost 10 inf + 0 434.734 * * [simplify]: Extracting #4: cost 68 inf + 0 434.735 * * [simplify]: Extracting #5: cost 197 inf + 0 434.736 * * [simplify]: Extracting #6: cost 257 inf + 1138 434.738 * * [simplify]: Extracting #7: cost 203 inf + 7970 434.743 * * [simplify]: Extracting #8: cost 113 inf + 31568 434.756 * * [simplify]: Extracting #9: cost 26 inf + 71366 434.777 * * [simplify]: Extracting #10: cost 2 inf + 87874 434.795 * * [simplify]: Extracting #11: cost 0 inf + 90364 434.812 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 434.812 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 434.813 * * * * [progress]: [ 1307 / 4754 ] simplifiying candidate # 434.813 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 434.814 * * [simplify]: iters left: 6 (48 enodes) 434.835 * * [simplify]: iters left: 5 (247 enodes) 434.901 * * [simplify]: Extracting #0: cost 1 inf + 0 434.901 * * [simplify]: Extracting #1: cost 3 inf + 0 434.901 * * [simplify]: Extracting #2: cost 6 inf + 0 434.901 * * [simplify]: Extracting #3: cost 10 inf + 0 434.902 * * [simplify]: Extracting #4: cost 16 inf + 0 434.902 * * [simplify]: Extracting #5: cost 126 inf + 0 434.902 * * [simplify]: Extracting #6: cost 280 inf + 0 434.904 * * [simplify]: Extracting #7: cost 335 inf + 2723 434.912 * * [simplify]: Extracting #8: cost 202 inf + 27748 434.934 * * [simplify]: Extracting #9: cost 107 inf + 63551 434.959 * * [simplify]: Extracting #10: cost 10 inf + 117278 434.988 * * [simplify]: Extracting #11: cost 2 inf + 125625 435.014 * * [simplify]: Extracting #12: cost 1 inf + 127250 435.041 * * [simplify]: Extracting #13: cost 0 inf + 128875 435.072 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 435.072 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 435.073 * * * * [progress]: [ 1308 / 4754 ] simplifiying candidate # 435.073 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 435.073 * * [simplify]: iters left: 6 (48 enodes) 435.087 * * [simplify]: iters left: 5 (247 enodes) 435.169 * * [simplify]: Extracting #0: cost 1 inf + 0 435.169 * * [simplify]: Extracting #1: cost 3 inf + 0 435.169 * * [simplify]: Extracting #2: cost 6 inf + 0 435.169 * * [simplify]: Extracting #3: cost 10 inf + 0 435.169 * * [simplify]: Extracting #4: cost 16 inf + 0 435.170 * * [simplify]: Extracting #5: cost 124 inf + 0 435.171 * * [simplify]: Extracting #6: cost 295 inf + 0 435.173 * * [simplify]: Extracting #7: cost 357 inf + 1146 435.180 * * [simplify]: Extracting #8: cost 203 inf + 40183 435.200 * * [simplify]: Extracting #9: cost 38 inf + 110149 435.239 * * [simplify]: Extracting #10: cost 9 inf + 124694 435.267 * * [simplify]: Extracting #11: cost 1 inf + 132855 435.306 * * [simplify]: Extracting #12: cost 0 inf + 134560 435.342 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 435.342 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 435.343 * * * * [progress]: [ 1309 / 4754 ] simplifiying candidate # 435.343 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 435.344 * * [simplify]: iters left: 6 (48 enodes) 435.357 * * [simplify]: iters left: 5 (245 enodes) 435.439 * * [simplify]: Extracting #0: cost 1 inf + 0 435.439 * * [simplify]: Extracting #1: cost 3 inf + 0 435.439 * * [simplify]: Extracting #2: cost 6 inf + 0 435.439 * * [simplify]: Extracting #3: cost 10 inf + 0 435.439 * * [simplify]: Extracting #4: cost 16 inf + 0 435.440 * * [simplify]: Extracting #5: cost 124 inf + 0 435.440 * * [simplify]: Extracting #6: cost 281 inf + 0 435.442 * * [simplify]: Extracting #7: cost 329 inf + 1715 435.446 * * [simplify]: Extracting #8: cost 214 inf + 23700 435.456 * * [simplify]: Extracting #9: cost 123 inf + 54426 435.476 * * [simplify]: Extracting #10: cost 32 inf + 99054 435.503 * * [simplify]: Extracting #11: cost 5 inf + 115739 435.526 * * [simplify]: Extracting #12: cost 1 inf + 121839 435.563 * * [simplify]: Extracting #13: cost 0 inf + 123544 435.590 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 435.590 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 435.591 * * * * [progress]: [ 1310 / 4754 ] simplifiying candidate # 435.591 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 435.592 * * [simplify]: iters left: 6 (47 enodes) 435.617 * * [simplify]: iters left: 5 (239 enodes) 435.710 * * [simplify]: Extracting #0: cost 1 inf + 0 435.710 * * [simplify]: Extracting #1: cost 3 inf + 0 435.710 * * [simplify]: Extracting #2: cost 6 inf + 0 435.710 * * [simplify]: Extracting #3: cost 10 inf + 0 435.710 * * [simplify]: Extracting #4: cost 20 inf + 0 435.711 * * [simplify]: Extracting #5: cost 156 inf + 0 435.711 * * [simplify]: Extracting #6: cost 282 inf + 1 435.713 * * [simplify]: Extracting #7: cost 330 inf + 1395 435.717 * * [simplify]: Extracting #8: cost 231 inf + 19220 435.725 * * [simplify]: Extracting #9: cost 140 inf + 49788 435.746 * * [simplify]: Extracting #10: cost 28 inf + 107164 435.782 * * [simplify]: Extracting #11: cost 3 inf + 123477 435.810 * * [simplify]: Extracting #12: cost 1 inf + 126847 435.840 * * [simplify]: Extracting #13: cost 0 inf + 128552 435.864 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))))))) 435.864 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 435.865 * * * * [progress]: [ 1311 / 4754 ] simplifiying candidate # 435.865 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 435.865 * * [simplify]: iters left: 6 (48 enodes) 435.880 * * [simplify]: iters left: 5 (245 enodes) 435.986 * * [simplify]: Extracting #0: cost 1 inf + 0 435.986 * * [simplify]: Extracting #1: cost 3 inf + 0 435.986 * * [simplify]: Extracting #2: cost 6 inf + 0 435.986 * * [simplify]: Extracting #3: cost 10 inf + 0 435.986 * * [simplify]: Extracting #4: cost 20 inf + 0 435.986 * * [simplify]: Extracting #5: cost 142 inf + 0 435.987 * * [simplify]: Extracting #6: cost 287 inf + 44 435.988 * * [simplify]: Extracting #7: cost 327 inf + 2899 435.993 * * [simplify]: Extracting #8: cost 215 inf + 22673 436.012 * * [simplify]: Extracting #9: cost 115 inf + 59783 436.048 * * [simplify]: Extracting #10: cost 9 inf + 111197 436.070 * * [simplify]: Extracting #11: cost 1 inf + 119995 436.100 * * [simplify]: Extracting #12: cost 0 inf + 121700 436.130 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 436.130 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 436.131 * * * * [progress]: [ 1312 / 4754 ] simplifiying candidate # 436.132 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 436.133 * * [simplify]: iters left: 6 (47 enodes) 436.159 * * [simplify]: iters left: 5 (239 enodes) 436.243 * * [simplify]: Extracting #0: cost 1 inf + 0 436.244 * * [simplify]: Extracting #1: cost 3 inf + 0 436.244 * * [simplify]: Extracting #2: cost 6 inf + 0 436.244 * * [simplify]: Extracting #3: cost 10 inf + 0 436.244 * * [simplify]: Extracting #4: cost 20 inf + 0 436.244 * * [simplify]: Extracting #5: cost 155 inf + 0 436.245 * * [simplify]: Extracting #6: cost 275 inf + 1 436.248 * * [simplify]: Extracting #7: cost 320 inf + 2040 436.257 * * [simplify]: Extracting #8: cost 193 inf + 28449 436.284 * * [simplify]: Extracting #9: cost 56 inf + 88567 436.312 * * [simplify]: Extracting #10: cost 6 inf + 117898 436.353 * * [simplify]: Extracting #11: cost 2 inf + 123598 436.383 * * [simplify]: Extracting #12: cost 1 inf + 125303 436.422 * * [simplify]: Extracting #13: cost 0 inf + 127008 436.467 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))))))) 436.467 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 436.468 * * * * [progress]: [ 1313 / 4754 ] simplifiying candidate # 436.468 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 436.469 * * [simplify]: iters left: 6 (48 enodes) 436.496 * * [simplify]: iters left: 5 (245 enodes) 436.590 * * [simplify]: Extracting #0: cost 1 inf + 0 436.590 * * [simplify]: Extracting #1: cost 3 inf + 0 436.590 * * [simplify]: Extracting #2: cost 6 inf + 0 436.590 * * [simplify]: Extracting #3: cost 10 inf + 0 436.590 * * [simplify]: Extracting #4: cost 20 inf + 0 436.591 * * [simplify]: Extracting #5: cost 141 inf + 0 436.592 * * [simplify]: Extracting #6: cost 287 inf + 44 436.595 * * [simplify]: Extracting #7: cost 324 inf + 3463 436.600 * * [simplify]: Extracting #8: cost 213 inf + 23478 436.610 * * [simplify]: Extracting #9: cost 111 inf + 61661 436.633 * * [simplify]: Extracting #10: cost 10 inf + 110692 436.662 * * [simplify]: Extracting #11: cost 1 inf + 120635 436.692 * * [simplify]: Extracting #12: cost 0 inf + 122340 436.721 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 436.721 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 436.722 * * * * [progress]: [ 1314 / 4754 ] simplifiying candidate # 436.724 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 436.725 * * [simplify]: iters left: 6 (39 enodes) 436.743 * * [simplify]: iters left: 5 (189 enodes) 436.799 * * [simplify]: Extracting #0: cost 1 inf + 0 436.799 * * [simplify]: Extracting #1: cost 4 inf + 0 436.799 * * [simplify]: Extracting #2: cost 7 inf + 0 436.800 * * [simplify]: Extracting #3: cost 10 inf + 0 436.800 * * [simplify]: Extracting #4: cost 60 inf + 0 436.800 * * [simplify]: Extracting #5: cost 166 inf + 0 436.802 * * [simplify]: Extracting #6: cost 221 inf + 492 436.804 * * [simplify]: Extracting #7: cost 191 inf + 5004 436.810 * * [simplify]: Extracting #8: cost 88 inf + 32137 436.824 * * [simplify]: Extracting #9: cost 7 inf + 72454 436.839 * * [simplify]: Extracting #10: cost 0 inf + 76510 436.858 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 436.858 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 436.859 * * * * [progress]: [ 1315 / 4754 ] simplifiying candidate # 436.859 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 436.859 * * [simplify]: iters left: 6 (46 enodes) 436.872 * * [simplify]: iters left: 5 (231 enodes) 436.941 * * [simplify]: Extracting #0: cost 1 inf + 0 436.941 * * [simplify]: Extracting #1: cost 3 inf + 0 436.941 * * [simplify]: Extracting #2: cost 6 inf + 0 436.941 * * [simplify]: Extracting #3: cost 10 inf + 0 436.941 * * [simplify]: Extracting #4: cost 16 inf + 0 436.941 * * [simplify]: Extracting #5: cost 106 inf + 0 436.941 * * [simplify]: Extracting #6: cost 250 inf + 0 436.943 * * [simplify]: Extracting #7: cost 299 inf + 1797 436.947 * * [simplify]: Extracting #8: cost 177 inf + 23906 436.956 * * [simplify]: Extracting #9: cost 101 inf + 52731 436.980 * * [simplify]: Extracting #10: cost 23 inf + 100980 437.006 * * [simplify]: Extracting #11: cost 0 inf + 115223 437.049 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 437.049 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 437.050 * * * * [progress]: [ 1316 / 4754 ] simplifiying candidate # 437.051 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 437.052 * * [simplify]: iters left: 6 (46 enodes) 437.077 * * [simplify]: iters left: 5 (233 enodes) 437.157 * * [simplify]: Extracting #0: cost 1 inf + 0 437.157 * * [simplify]: Extracting #1: cost 3 inf + 0 437.157 * * [simplify]: Extracting #2: cost 6 inf + 0 437.157 * * [simplify]: Extracting #3: cost 10 inf + 0 437.157 * * [simplify]: Extracting #4: cost 16 inf + 0 437.158 * * [simplify]: Extracting #5: cost 106 inf + 0 437.159 * * [simplify]: Extracting #6: cost 264 inf + 0 437.161 * * [simplify]: Extracting #7: cost 318 inf + 985 437.169 * * [simplify]: Extracting #8: cost 194 inf + 23545 437.187 * * [simplify]: Extracting #9: cost 118 inf + 50316 437.215 * * [simplify]: Extracting #10: cost 39 inf + 89422 437.255 * * [simplify]: Extracting #11: cost 3 inf + 115829 437.293 * * [simplify]: Extracting #12: cost 0 inf + 120544 437.318 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))))) 437.318 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 437.320 * * * * [progress]: [ 1317 / 4754 ] simplifiying candidate # 437.320 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 437.321 * * [simplify]: iters left: 6 (46 enodes) 437.343 * * [simplify]: iters left: 5 (231 enodes) 437.414 * * [simplify]: Extracting #0: cost 1 inf + 0 437.414 * * [simplify]: Extracting #1: cost 3 inf + 0 437.414 * * [simplify]: Extracting #2: cost 6 inf + 0 437.414 * * [simplify]: Extracting #3: cost 10 inf + 0 437.414 * * [simplify]: Extracting #4: cost 16 inf + 0 437.414 * * [simplify]: Extracting #5: cost 104 inf + 0 437.415 * * [simplify]: Extracting #6: cost 248 inf + 0 437.416 * * [simplify]: Extracting #7: cost 294 inf + 704 437.418 * * [simplify]: Extracting #8: cost 223 inf + 10981 437.425 * * [simplify]: Extracting #9: cost 124 inf + 39793 437.439 * * [simplify]: Extracting #10: cost 42 inf + 76640 437.475 * * [simplify]: Extracting #11: cost 4 inf + 103498 437.518 * * [simplify]: Extracting #12: cost 0 inf + 109238 437.556 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) 437.556 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 437.558 * * * * [progress]: [ 1318 / 4754 ] simplifiying candidate # 437.558 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 437.559 * * [simplify]: iters left: 6 (45 enodes) 437.583 * * [simplify]: iters left: 5 (224 enodes) 437.686 * * [simplify]: Extracting #0: cost 1 inf + 0 437.686 * * [simplify]: Extracting #1: cost 3 inf + 0 437.686 * * [simplify]: Extracting #2: cost 6 inf + 0 437.686 * * [simplify]: Extracting #3: cost 10 inf + 0 437.686 * * [simplify]: Extracting #4: cost 20 inf + 0 437.687 * * [simplify]: Extracting #5: cost 123 inf + 0 437.688 * * [simplify]: Extracting #6: cost 242 inf + 1 437.690 * * [simplify]: Extracting #7: cost 282 inf + 1189 437.697 * * [simplify]: Extracting #8: cost 183 inf + 19895 437.711 * * [simplify]: Extracting #9: cost 107 inf + 46251 437.727 * * [simplify]: Extracting #10: cost 30 inf + 87117 437.760 * * [simplify]: Extracting #11: cost 3 inf + 105260 437.802 * * [simplify]: Extracting #12: cost 0 inf + 109855 437.823 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 437.823 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 437.824 * * * * [progress]: [ 1319 / 4754 ] simplifiying candidate # 437.824 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 437.825 * * [simplify]: iters left: 6 (46 enodes) 437.837 * * [simplify]: iters left: 5 (231 enodes) 437.909 * * [simplify]: Extracting #0: cost 1 inf + 0 437.909 * * [simplify]: Extracting #1: cost 3 inf + 0 437.909 * * [simplify]: Extracting #2: cost 6 inf + 0 437.909 * * [simplify]: Extracting #3: cost 10 inf + 0 437.909 * * [simplify]: Extracting #4: cost 20 inf + 0 437.910 * * [simplify]: Extracting #5: cost 120 inf + 0 437.910 * * [simplify]: Extracting #6: cost 253 inf + 44 437.911 * * [simplify]: Extracting #7: cost 281 inf + 3060 437.916 * * [simplify]: Extracting #8: cost 150 inf + 32751 437.931 * * [simplify]: Extracting #9: cost 40 inf + 87397 437.951 * * [simplify]: Extracting #10: cost 2 inf + 107429 437.981 * * [simplify]: Extracting #11: cost 0 inf + 107893 438.002 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))))) 438.002 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 438.002 * * * * [progress]: [ 1320 / 4754 ] simplifiying candidate # 438.003 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 438.003 * * [simplify]: iters left: 6 (45 enodes) 438.015 * * [simplify]: iters left: 5 (223 enodes) 438.095 * * [simplify]: Extracting #0: cost 1 inf + 0 438.095 * * [simplify]: Extracting #1: cost 3 inf + 0 438.095 * * [simplify]: Extracting #2: cost 6 inf + 0 438.095 * * [simplify]: Extracting #3: cost 10 inf + 0 438.095 * * [simplify]: Extracting #4: cost 20 inf + 0 438.095 * * [simplify]: Extracting #5: cost 124 inf + 0 438.096 * * [simplify]: Extracting #6: cost 237 inf + 1 438.099 * * [simplify]: Extracting #7: cost 274 inf + 1917 438.107 * * [simplify]: Extracting #8: cost 144 inf + 31277 438.134 * * [simplify]: Extracting #9: cost 43 inf + 81092 438.160 * * [simplify]: Extracting #10: cost 4 inf + 104994 438.181 * * [simplify]: Extracting #11: cost 0 inf + 108999 438.204 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 438.204 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 438.204 * * * * [progress]: [ 1321 / 4754 ] simplifiying candidate # 438.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 438.205 * * [simplify]: iters left: 6 (46 enodes) 438.217 * * [simplify]: iters left: 5 (231 enodes) 438.279 * * [simplify]: Extracting #0: cost 1 inf + 0 438.279 * * [simplify]: Extracting #1: cost 3 inf + 0 438.279 * * [simplify]: Extracting #2: cost 6 inf + 0 438.279 * * [simplify]: Extracting #3: cost 10 inf + 0 438.279 * * [simplify]: Extracting #4: cost 20 inf + 0 438.280 * * [simplify]: Extracting #5: cost 119 inf + 0 438.281 * * [simplify]: Extracting #6: cost 253 inf + 44 438.283 * * [simplify]: Extracting #7: cost 288 inf + 1967 438.291 * * [simplify]: Extracting #8: cost 163 inf + 29209 438.313 * * [simplify]: Extracting #9: cost 47 inf + 79982 438.347 * * [simplify]: Extracting #10: cost 6 inf + 102942 438.381 * * [simplify]: Extracting #11: cost 0 inf + 107893 438.416 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))))) 438.416 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 438.417 * * * * [progress]: [ 1322 / 4754 ] simplifiying candidate # 438.417 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 438.418 * * [simplify]: iters left: 6 (45 enodes) 438.450 * * [simplify]: iters left: 5 (235 enodes) 438.561 * * [simplify]: Extracting #0: cost 1 inf + 0 438.561 * * [simplify]: Extracting #1: cost 3 inf + 0 438.561 * * [simplify]: Extracting #2: cost 6 inf + 0 438.562 * * [simplify]: Extracting #3: cost 10 inf + 0 438.562 * * [simplify]: Extracting #4: cost 16 inf + 0 438.562 * * [simplify]: Extracting #5: cost 106 inf + 0 438.567 * * [simplify]: Extracting #6: cost 266 inf + 0 438.569 * * [simplify]: Extracting #7: cost 312 inf + 1667 438.573 * * [simplify]: Extracting #8: cost 266 inf + 7929 438.585 * * [simplify]: Extracting #9: cost 154 inf + 37581 438.605 * * [simplify]: Extracting #10: cost 55 inf + 80201 438.627 * * [simplify]: Extracting #11: cost 5 inf + 110710 438.655 * * [simplify]: Extracting #12: cost 2 inf + 114825 438.686 * * [simplify]: Extracting #13: cost 0 inf + 118035 438.708 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 438.708 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 438.709 * * * * [progress]: [ 1323 / 4754 ] simplifiying candidate # 438.710 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 438.710 * * [simplify]: iters left: 6 (48 enodes) 438.723 * * [simplify]: iters left: 5 (252 enodes) 438.802 * * [simplify]: Extracting #0: cost 1 inf + 0 438.802 * * [simplify]: Extracting #1: cost 3 inf + 0 438.802 * * [simplify]: Extracting #2: cost 6 inf + 0 438.802 * * [simplify]: Extracting #3: cost 10 inf + 0 438.802 * * [simplify]: Extracting #4: cost 16 inf + 0 438.803 * * [simplify]: Extracting #5: cost 112 inf + 0 438.804 * * [simplify]: Extracting #6: cost 290 inf + 0 438.807 * * [simplify]: Extracting #7: cost 339 inf + 1596 438.814 * * [simplify]: Extracting #8: cost 227 inf + 19598 438.832 * * [simplify]: Extracting #9: cost 129 inf + 51823 438.871 * * [simplify]: Extracting #10: cost 14 inf + 107385 438.910 * * [simplify]: Extracting #11: cost 2 inf + 118323 438.938 * * [simplify]: Extracting #12: cost 0 inf + 121693 438.984 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 438.984 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 438.986 * * * * [progress]: [ 1324 / 4754 ] simplifiying candidate # 438.986 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 438.987 * * [simplify]: iters left: 6 (48 enodes) 439.001 * * [simplify]: iters left: 5 (252 enodes) 439.080 * * [simplify]: Extracting #0: cost 1 inf + 0 439.080 * * [simplify]: Extracting #1: cost 3 inf + 0 439.080 * * [simplify]: Extracting #2: cost 6 inf + 0 439.080 * * [simplify]: Extracting #3: cost 10 inf + 0 439.080 * * [simplify]: Extracting #4: cost 16 inf + 0 439.080 * * [simplify]: Extracting #5: cost 114 inf + 0 439.081 * * [simplify]: Extracting #6: cost 289 inf + 0 439.082 * * [simplify]: Extracting #7: cost 337 inf + 1675 439.086 * * [simplify]: Extracting #8: cost 229 inf + 18751 439.095 * * [simplify]: Extracting #9: cost 127 inf + 53092 439.118 * * [simplify]: Extracting #10: cost 18 inf + 103153 439.140 * * [simplify]: Extracting #11: cost 2 inf + 116178 439.180 * * [simplify]: Extracting #12: cost 0 inf + 119548 439.223 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 439.223 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 439.225 * * * * [progress]: [ 1325 / 4754 ] simplifiying candidate # 439.225 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 439.226 * * [simplify]: iters left: 6 (48 enodes) 439.252 * * [simplify]: iters left: 5 (254 enodes) 439.337 * * [simplify]: Extracting #0: cost 1 inf + 0 439.337 * * [simplify]: Extracting #1: cost 3 inf + 0 439.337 * * [simplify]: Extracting #2: cost 6 inf + 0 439.337 * * [simplify]: Extracting #3: cost 10 inf + 0 439.337 * * [simplify]: Extracting #4: cost 16 inf + 0 439.337 * * [simplify]: Extracting #5: cost 114 inf + 0 439.338 * * [simplify]: Extracting #6: cost 287 inf + 0 439.340 * * [simplify]: Extracting #7: cost 321 inf + 2448 439.347 * * [simplify]: Extracting #8: cost 179 inf + 31988 439.360 * * [simplify]: Extracting #9: cost 76 inf + 68380 439.398 * * [simplify]: Extracting #10: cost 7 inf + 108038 439.437 * * [simplify]: Extracting #11: cost 0 inf + 111761 439.459 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 439.459 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 439.459 * * * * [progress]: [ 1326 / 4754 ] simplifiying candidate # 439.460 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 439.460 * * [simplify]: iters left: 6 (47 enodes) 439.487 * * [simplify]: iters left: 5 (244 enodes) 439.569 * * [simplify]: Extracting #0: cost 1 inf + 0 439.569 * * [simplify]: Extracting #1: cost 3 inf + 0 439.569 * * [simplify]: Extracting #2: cost 6 inf + 0 439.569 * * [simplify]: Extracting #3: cost 10 inf + 0 439.569 * * [simplify]: Extracting #4: cost 20 inf + 0 439.569 * * [simplify]: Extracting #5: cost 132 inf + 0 439.570 * * [simplify]: Extracting #6: cost 279 inf + 1 439.571 * * [simplify]: Extracting #7: cost 315 inf + 1597 439.578 * * [simplify]: Extracting #8: cost 177 inf + 31339 439.590 * * [simplify]: Extracting #9: cost 72 inf + 71479 439.609 * * [simplify]: Extracting #10: cost 17 inf + 102901 439.640 * * [simplify]: Extracting #11: cost 0 inf + 115914 439.680 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 439.680 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 439.681 * * * * [progress]: [ 1327 / 4754 ] simplifiying candidate # 439.682 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 439.682 * * [simplify]: iters left: 6 (48 enodes) 439.710 * * [simplify]: iters left: 5 (250 enodes) 439.795 * * [simplify]: Extracting #0: cost 1 inf + 0 439.795 * * [simplify]: Extracting #1: cost 3 inf + 0 439.795 * * [simplify]: Extracting #2: cost 6 inf + 0 439.795 * * [simplify]: Extracting #3: cost 10 inf + 0 439.795 * * [simplify]: Extracting #4: cost 20 inf + 0 439.796 * * [simplify]: Extracting #5: cost 124 inf + 0 439.797 * * [simplify]: Extracting #6: cost 274 inf + 44 439.803 * * [simplify]: Extracting #7: cost 303 inf + 3021 439.813 * * [simplify]: Extracting #8: cost 168 inf + 31295 439.834 * * [simplify]: Extracting #9: cost 40 inf + 83228 439.853 * * [simplify]: Extracting #10: cost 8 inf + 102331 439.892 * * [simplify]: Extracting #11: cost 0 inf + 106313 439.930 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 439.930 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 439.931 * * * * [progress]: [ 1328 / 4754 ] simplifiying candidate # 439.931 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 439.932 * * [simplify]: iters left: 6 (47 enodes) 439.958 * * [simplify]: iters left: 5 (244 enodes) 440.033 * * [simplify]: Extracting #0: cost 1 inf + 0 440.033 * * [simplify]: Extracting #1: cost 3 inf + 0 440.033 * * [simplify]: Extracting #2: cost 6 inf + 0 440.033 * * [simplify]: Extracting #3: cost 10 inf + 0 440.033 * * [simplify]: Extracting #4: cost 20 inf + 0 440.033 * * [simplify]: Extracting #5: cost 132 inf + 0 440.034 * * [simplify]: Extracting #6: cost 279 inf + 1 440.037 * * [simplify]: Extracting #7: cost 315 inf + 1597 440.042 * * [simplify]: Extracting #8: cost 179 inf + 31775 440.054 * * [simplify]: Extracting #9: cost 68 inf + 75259 440.087 * * [simplify]: Extracting #10: cost 9 inf + 109981 440.109 * * [simplify]: Extracting #11: cost 0 inf + 116554 440.144 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 440.144 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 440.145 * * * * [progress]: [ 1329 / 4754 ] simplifiying candidate # 440.146 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 440.146 * * [simplify]: iters left: 6 (48 enodes) 440.173 * * [simplify]: iters left: 5 (250 enodes) 440.247 * * [simplify]: Extracting #0: cost 1 inf + 0 440.247 * * [simplify]: Extracting #1: cost 3 inf + 0 440.247 * * [simplify]: Extracting #2: cost 6 inf + 0 440.247 * * [simplify]: Extracting #3: cost 10 inf + 0 440.247 * * [simplify]: Extracting #4: cost 20 inf + 0 440.248 * * [simplify]: Extracting #5: cost 123 inf + 0 440.251 * * [simplify]: Extracting #6: cost 274 inf + 44 440.252 * * [simplify]: Extracting #7: cost 306 inf + 2616 440.258 * * [simplify]: Extracting #8: cost 172 inf + 29757 440.272 * * [simplify]: Extracting #9: cost 41 inf + 83123 440.291 * * [simplify]: Extracting #10: cost 8 inf + 102822 440.311 * * [simplify]: Extracting #11: cost 0 inf + 106553 440.337 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 440.337 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 440.338 * * * * [progress]: [ 1330 / 4754 ] simplifiying candidate # 440.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 440.339 * * [simplify]: iters left: 6 (46 enodes) 440.359 * * [simplify]: iters left: 5 (223 enodes) 440.426 * * [simplify]: Extracting #0: cost 1 inf + 0 440.426 * * [simplify]: Extracting #1: cost 3 inf + 0 440.426 * * [simplify]: Extracting #2: cost 6 inf + 0 440.426 * * [simplify]: Extracting #3: cost 10 inf + 0 440.426 * * [simplify]: Extracting #4: cost 16 inf + 0 440.427 * * [simplify]: Extracting #5: cost 102 inf + 0 440.428 * * [simplify]: Extracting #6: cost 239 inf + 0 440.429 * * [simplify]: Extracting #7: cost 287 inf + 778 440.433 * * [simplify]: Extracting #8: cost 233 inf + 8875 440.449 * * [simplify]: Extracting #9: cost 121 inf + 40304 440.479 * * [simplify]: Extracting #10: cost 28 inf + 90198 440.517 * * [simplify]: Extracting #11: cost 2 inf + 110849 440.557 * * [simplify]: Extracting #12: cost 0 inf + 113619 440.585 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 440.585 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 440.586 * * * * [progress]: [ 1331 / 4754 ] simplifiying candidate # 440.586 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 440.587 * * [simplify]: iters left: 6 (49 enodes) 440.602 * * [simplify]: iters left: 5 (246 enodes) 440.714 * * [simplify]: Extracting #0: cost 1 inf + 0 440.714 * * [simplify]: Extracting #1: cost 3 inf + 0 440.714 * * [simplify]: Extracting #2: cost 6 inf + 0 440.714 * * [simplify]: Extracting #3: cost 10 inf + 0 440.714 * * [simplify]: Extracting #4: cost 16 inf + 0 440.714 * * [simplify]: Extracting #5: cost 113 inf + 0 440.715 * * [simplify]: Extracting #6: cost 287 inf + 0 440.716 * * [simplify]: Extracting #7: cost 332 inf + 1760 440.724 * * [simplify]: Extracting #8: cost 201 inf + 27982 440.747 * * [simplify]: Extracting #9: cost 94 inf + 73962 440.789 * * [simplify]: Extracting #10: cost 8 inf + 124058 440.834 * * [simplify]: Extracting #11: cost 0 inf + 129326 440.859 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 440.859 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 440.859 * * * * [progress]: [ 1332 / 4754 ] simplifiying candidate # 440.860 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 440.860 * * [simplify]: iters left: 6 (49 enodes) 440.874 * * [simplify]: iters left: 5 (246 enodes) 440.955 * * [simplify]: Extracting #0: cost 1 inf + 0 440.955 * * [simplify]: Extracting #1: cost 3 inf + 0 440.955 * * [simplify]: Extracting #2: cost 6 inf + 0 440.955 * * [simplify]: Extracting #3: cost 10 inf + 0 440.955 * * [simplify]: Extracting #4: cost 16 inf + 0 440.956 * * [simplify]: Extracting #5: cost 115 inf + 0 440.960 * * [simplify]: Extracting #6: cost 287 inf + 0 440.962 * * [simplify]: Extracting #7: cost 339 inf + 863 440.969 * * [simplify]: Extracting #8: cost 239 inf + 20418 440.987 * * [simplify]: Extracting #9: cost 135 inf + 51624 441.016 * * [simplify]: Extracting #10: cost 50 inf + 93248 441.042 * * [simplify]: Extracting #11: cost 3 inf + 122491 441.073 * * [simplify]: Extracting #12: cost 1 inf + 126101 441.103 * * [simplify]: Extracting #13: cost 0 inf + 127926 441.136 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 441.136 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 441.137 * * * * [progress]: [ 1333 / 4754 ] simplifiying candidate # 441.137 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 441.138 * * [simplify]: iters left: 6 (49 enodes) 441.165 * * [simplify]: iters left: 5 (244 enodes) 441.264 * * [simplify]: Extracting #0: cost 1 inf + 0 441.264 * * [simplify]: Extracting #1: cost 3 inf + 0 441.264 * * [simplify]: Extracting #2: cost 6 inf + 0 441.264 * * [simplify]: Extracting #3: cost 10 inf + 0 441.264 * * [simplify]: Extracting #4: cost 16 inf + 0 441.265 * * [simplify]: Extracting #5: cost 111 inf + 0 441.265 * * [simplify]: Extracting #6: cost 275 inf + 0 441.266 * * [simplify]: Extracting #7: cost 313 inf + 1153 441.269 * * [simplify]: Extracting #8: cost 227 inf + 15867 441.281 * * [simplify]: Extracting #9: cost 134 inf + 44606 441.304 * * [simplify]: Extracting #10: cost 36 inf + 91610 441.330 * * [simplify]: Extracting #11: cost 2 inf + 114470 441.365 * * [simplify]: Extracting #12: cost 0 inf + 117280 441.387 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 441.387 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 441.387 * * * * [progress]: [ 1334 / 4754 ] simplifiying candidate # 441.388 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 441.388 * * [simplify]: iters left: 6 (48 enodes) 441.413 * * [simplify]: iters left: 5 (238 enodes) 441.503 * * [simplify]: Extracting #0: cost 1 inf + 0 441.503 * * [simplify]: Extracting #1: cost 3 inf + 0 441.504 * * [simplify]: Extracting #2: cost 6 inf + 0 441.504 * * [simplify]: Extracting #3: cost 10 inf + 0 441.504 * * [simplify]: Extracting #4: cost 20 inf + 0 441.504 * * [simplify]: Extracting #5: cost 131 inf + 0 441.504 * * [simplify]: Extracting #6: cost 274 inf + 1 441.506 * * [simplify]: Extracting #7: cost 307 inf + 1476 441.511 * * [simplify]: Extracting #8: cost 183 inf + 27548 441.528 * * [simplify]: Extracting #9: cost 116 inf + 50939 441.549 * * [simplify]: Extracting #10: cost 27 inf + 98107 441.581 * * [simplify]: Extracting #11: cost 1 inf + 118877 441.626 * * [simplify]: Extracting #12: cost 0 inf + 120582 441.653 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 441.653 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 441.654 * * * * [progress]: [ 1335 / 4754 ] simplifiying candidate # 441.654 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 441.654 * * [simplify]: iters left: 6 (49 enodes) 441.670 * * [simplify]: iters left: 5 (244 enodes) 441.747 * * [simplify]: Extracting #0: cost 1 inf + 0 441.747 * * [simplify]: Extracting #1: cost 3 inf + 0 441.747 * * [simplify]: Extracting #2: cost 6 inf + 0 441.747 * * [simplify]: Extracting #3: cost 10 inf + 0 441.747 * * [simplify]: Extracting #4: cost 20 inf + 0 441.747 * * [simplify]: Extracting #5: cost 125 inf + 0 441.748 * * [simplify]: Extracting #6: cost 272 inf + 44 441.749 * * [simplify]: Extracting #7: cost 306 inf + 1562 441.753 * * [simplify]: Extracting #8: cost 175 inf + 26535 441.764 * * [simplify]: Extracting #9: cost 75 inf + 66777 441.794 * * [simplify]: Extracting #10: cost 8 inf + 106955 441.822 * * [simplify]: Extracting #11: cost 0 inf + 110977 441.843 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) 441.843 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 441.844 * * * * [progress]: [ 1336 / 4754 ] simplifiying candidate # 441.844 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 441.845 * * [simplify]: iters left: 6 (48 enodes) 441.860 * * [simplify]: iters left: 5 (238 enodes) 441.958 * * [simplify]: Extracting #0: cost 1 inf + 0 441.958 * * [simplify]: Extracting #1: cost 3 inf + 0 441.958 * * [simplify]: Extracting #2: cost 6 inf + 0 441.958 * * [simplify]: Extracting #3: cost 10 inf + 0 441.958 * * [simplify]: Extracting #4: cost 20 inf + 0 441.959 * * [simplify]: Extracting #5: cost 131 inf + 0 441.960 * * [simplify]: Extracting #6: cost 274 inf + 1 441.962 * * [simplify]: Extracting #7: cost 307 inf + 1476 441.970 * * [simplify]: Extracting #8: cost 179 inf + 30204 441.986 * * [simplify]: Extracting #9: cost 115 inf + 52063 442.018 * * [simplify]: Extracting #10: cost 27 inf + 98747 442.054 * * [simplify]: Extracting #11: cost 1 inf + 119517 442.091 * * [simplify]: Extracting #12: cost 0 inf + 121222 442.128 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 442.128 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 442.129 * * * * [progress]: [ 1337 / 4754 ] simplifiying candidate # 442.129 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 442.130 * * [simplify]: iters left: 6 (49 enodes) 442.153 * * [simplify]: iters left: 5 (244 enodes) 442.231 * * [simplify]: Extracting #0: cost 1 inf + 0 442.231 * * [simplify]: Extracting #1: cost 3 inf + 0 442.231 * * [simplify]: Extracting #2: cost 6 inf + 0 442.231 * * [simplify]: Extracting #3: cost 10 inf + 0 442.231 * * [simplify]: Extracting #4: cost 20 inf + 0 442.232 * * [simplify]: Extracting #5: cost 124 inf + 0 442.232 * * [simplify]: Extracting #6: cost 272 inf + 44 442.235 * * [simplify]: Extracting #7: cost 298 inf + 2579 442.244 * * [simplify]: Extracting #8: cost 173 inf + 27602 442.282 * * [simplify]: Extracting #9: cost 79 inf + 64379 442.319 * * [simplify]: Extracting #10: cost 7 inf + 107407 442.358 * * [simplify]: Extracting #11: cost 0 inf + 111217 442.390 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) 442.390 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 442.391 * * * * [progress]: [ 1338 / 4754 ] simplifiying candidate # 442.391 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 442.391 * * [simplify]: iters left: 6 (46 enodes) 442.404 * * [simplify]: iters left: 5 (226 enodes) 442.472 * * [simplify]: Extracting #0: cost 1 inf + 0 442.472 * * [simplify]: Extracting #1: cost 3 inf + 0 442.472 * * [simplify]: Extracting #2: cost 6 inf + 0 442.473 * * [simplify]: Extracting #3: cost 10 inf + 0 442.473 * * [simplify]: Extracting #4: cost 16 inf + 0 442.473 * * [simplify]: Extracting #5: cost 99 inf + 0 442.474 * * [simplify]: Extracting #6: cost 245 inf + 0 442.476 * * [simplify]: Extracting #7: cost 292 inf + 900 442.480 * * [simplify]: Extracting #8: cost 223 inf + 13313 442.496 * * [simplify]: Extracting #9: cost 101 inf + 57922 442.517 * * [simplify]: Extracting #10: cost 14 inf + 100034 442.536 * * [simplify]: Extracting #11: cost 2 inf + 107580 442.561 * * [simplify]: Extracting #12: cost 0 inf + 110950 442.583 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))))))) 442.583 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 442.584 * * * * [progress]: [ 1339 / 4754 ] simplifiying candidate # 442.584 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 442.585 * * [simplify]: iters left: 6 (49 enodes) 442.598 * * [simplify]: iters left: 5 (247 enodes) 442.703 * * [simplify]: Extracting #0: cost 1 inf + 0 442.703 * * [simplify]: Extracting #1: cost 3 inf + 0 442.703 * * [simplify]: Extracting #2: cost 6 inf + 0 442.703 * * [simplify]: Extracting #3: cost 10 inf + 0 442.703 * * [simplify]: Extracting #4: cost 16 inf + 0 442.703 * * [simplify]: Extracting #5: cost 110 inf + 0 442.704 * * [simplify]: Extracting #6: cost 286 inf + 0 442.705 * * [simplify]: Extracting #7: cost 328 inf + 1964 442.710 * * [simplify]: Extracting #8: cost 203 inf + 25412 442.723 * * [simplify]: Extracting #9: cost 110 inf + 58977 442.757 * * [simplify]: Extracting #10: cost 18 inf + 105825 442.799 * * [simplify]: Extracting #11: cost 1 inf + 119678 442.843 * * [simplify]: Extracting #12: cost 0 inf + 121543 442.876 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 442.876 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 442.876 * * * * [progress]: [ 1340 / 4754 ] simplifiying candidate # 442.877 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 442.877 * * [simplify]: iters left: 6 (49 enodes) 442.891 * * [simplify]: iters left: 5 (247 enodes) 443.005 * * [simplify]: Extracting #0: cost 1 inf + 0 443.005 * * [simplify]: Extracting #1: cost 3 inf + 0 443.006 * * [simplify]: Extracting #2: cost 6 inf + 0 443.006 * * [simplify]: Extracting #3: cost 10 inf + 0 443.006 * * [simplify]: Extracting #4: cost 16 inf + 0 443.006 * * [simplify]: Extracting #5: cost 112 inf + 0 443.006 * * [simplify]: Extracting #6: cost 285 inf + 0 443.007 * * [simplify]: Extracting #7: cost 335 inf + 946 443.011 * * [simplify]: Extracting #8: cost 245 inf + 16149 443.020 * * [simplify]: Extracting #9: cost 127 inf + 52620 443.046 * * [simplify]: Extracting #10: cost 45 inf + 91925 443.068 * * [simplify]: Extracting #11: cost 2 inf + 116628 443.103 * * [simplify]: Extracting #12: cost 0 inf + 119558 443.132 * * [simplify]: Extracting #13: cost 0 inf + 118918 443.154 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 443.154 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 443.155 * * * * [progress]: [ 1341 / 4754 ] simplifiying candidate # 443.155 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 443.155 * * [simplify]: iters left: 6 (49 enodes) 443.168 * * [simplify]: iters left: 5 (245 enodes) 443.281 * * [simplify]: Extracting #0: cost 1 inf + 0 443.281 * * [simplify]: Extracting #1: cost 3 inf + 0 443.282 * * [simplify]: Extracting #2: cost 6 inf + 0 443.282 * * [simplify]: Extracting #3: cost 10 inf + 0 443.282 * * [simplify]: Extracting #4: cost 16 inf + 0 443.282 * * [simplify]: Extracting #5: cost 108 inf + 0 443.283 * * [simplify]: Extracting #6: cost 273 inf + 0 443.285 * * [simplify]: Extracting #7: cost 308 inf + 1803 443.292 * * [simplify]: Extracting #8: cost 214 inf + 17496 443.308 * * [simplify]: Extracting #9: cost 130 inf + 45177 443.336 * * [simplify]: Extracting #10: cost 49 inf + 82447 443.378 * * [simplify]: Extracting #11: cost 3 inf + 107077 443.415 * * [simplify]: Extracting #12: cost 0 inf + 110432 443.440 * * [simplify]: Extracting #13: cost 0 inf + 110112 443.465 * * [simplify]: Extracting #14: cost 0 inf + 110032 443.505 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 443.505 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 443.507 * * * * [progress]: [ 1342 / 4754 ] simplifiying candidate # 443.507 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 443.508 * * [simplify]: iters left: 6 (48 enodes) 443.528 * * [simplify]: iters left: 5 (239 enodes) 443.601 * * [simplify]: Extracting #0: cost 1 inf + 0 443.601 * * [simplify]: Extracting #1: cost 3 inf + 0 443.601 * * [simplify]: Extracting #2: cost 6 inf + 0 443.601 * * [simplify]: Extracting #3: cost 10 inf + 0 443.601 * * [simplify]: Extracting #4: cost 20 inf + 0 443.601 * * [simplify]: Extracting #5: cost 128 inf + 0 443.603 * * [simplify]: Extracting #6: cost 273 inf + 1 443.605 * * [simplify]: Extracting #7: cost 309 inf + 1070 443.613 * * [simplify]: Extracting #8: cost 192 inf + 23674 443.621 * * [simplify]: Extracting #9: cost 130 inf + 45350 443.638 * * [simplify]: Extracting #10: cost 30 inf + 93502 443.673 * * [simplify]: Extracting #11: cost 1 inf + 111574 443.694 * * [simplify]: Extracting #12: cost 0 inf + 112999 443.733 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 443.733 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 443.734 * * * * [progress]: [ 1343 / 4754 ] simplifiying candidate # 443.734 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 443.735 * * [simplify]: iters left: 6 (49 enodes) 443.761 * * [simplify]: iters left: 5 (245 enodes) 443.843 * * [simplify]: Extracting #0: cost 1 inf + 0 443.843 * * [simplify]: Extracting #1: cost 3 inf + 0 443.843 * * [simplify]: Extracting #2: cost 6 inf + 0 443.843 * * [simplify]: Extracting #3: cost 10 inf + 0 443.843 * * [simplify]: Extracting #4: cost 20 inf + 0 443.843 * * [simplify]: Extracting #5: cost 122 inf + 0 443.844 * * [simplify]: Extracting #6: cost 270 inf + 44 443.845 * * [simplify]: Extracting #7: cost 299 inf + 2136 443.849 * * [simplify]: Extracting #8: cost 193 inf + 20426 443.856 * * [simplify]: Extracting #9: cost 119 inf + 44340 443.876 * * [simplify]: Extracting #10: cost 24 inf + 86879 443.911 * * [simplify]: Extracting #11: cost 3 inf + 100414 443.946 * * [simplify]: Extracting #12: cost 0 inf + 104329 443.967 * * [simplify]: Extracting #13: cost 0 inf + 104249 443.998 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 443.998 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 443.999 * * * * [progress]: [ 1344 / 4754 ] simplifiying candidate # 444.000 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 444.000 * * [simplify]: iters left: 6 (48 enodes) 444.025 * * [simplify]: iters left: 5 (239 enodes) 444.113 * * [simplify]: Extracting #0: cost 1 inf + 0 444.113 * * [simplify]: Extracting #1: cost 3 inf + 0 444.113 * * [simplify]: Extracting #2: cost 6 inf + 0 444.113 * * [simplify]: Extracting #3: cost 10 inf + 0 444.113 * * [simplify]: Extracting #4: cost 20 inf + 0 444.113 * * [simplify]: Extracting #5: cost 128 inf + 0 444.114 * * [simplify]: Extracting #6: cost 273 inf + 1 444.115 * * [simplify]: Extracting #7: cost 309 inf + 1070 444.119 * * [simplify]: Extracting #8: cost 188 inf + 26252 444.133 * * [simplify]: Extracting #9: cost 128 inf + 46918 444.164 * * [simplify]: Extracting #10: cost 30 inf + 94142 444.204 * * [simplify]: Extracting #11: cost 1 inf + 112214 444.227 * * [simplify]: Extracting #12: cost 0 inf + 113639 444.262 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 444.262 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 444.264 * * * * [progress]: [ 1345 / 4754 ] simplifiying candidate # 444.264 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 444.265 * * [simplify]: iters left: 6 (49 enodes) 444.284 * * [simplify]: iters left: 5 (245 enodes) 444.366 * * [simplify]: Extracting #0: cost 1 inf + 0 444.366 * * [simplify]: Extracting #1: cost 3 inf + 0 444.366 * * [simplify]: Extracting #2: cost 6 inf + 0 444.366 * * [simplify]: Extracting #3: cost 10 inf + 0 444.366 * * [simplify]: Extracting #4: cost 20 inf + 0 444.366 * * [simplify]: Extracting #5: cost 121 inf + 0 444.367 * * [simplify]: Extracting #6: cost 269 inf + 86 444.368 * * [simplify]: Extracting #7: cost 292 inf + 3109 444.372 * * [simplify]: Extracting #8: cost 185 inf + 22570 444.380 * * [simplify]: Extracting #9: cost 121 inf + 43598 444.398 * * [simplify]: Extracting #10: cost 24 inf + 87370 444.417 * * [simplify]: Extracting #11: cost 3 inf + 100654 444.453 * * [simplify]: Extracting #12: cost 0 inf + 104569 444.473 * * [simplify]: Extracting #13: cost 0 inf + 104489 444.507 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 444.507 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 444.508 * * * * [progress]: [ 1346 / 4754 ] simplifiying candidate # 444.509 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 444.509 * * [simplify]: iters left: 6 (46 enodes) 444.521 * * [simplify]: iters left: 5 (225 enodes) 444.602 * * [simplify]: Extracting #0: cost 1 inf + 0 444.603 * * [simplify]: Extracting #1: cost 3 inf + 0 444.603 * * [simplify]: Extracting #2: cost 6 inf + 0 444.603 * * [simplify]: Extracting #3: cost 10 inf + 0 444.603 * * [simplify]: Extracting #4: cost 16 inf + 0 444.603 * * [simplify]: Extracting #5: cost 104 inf + 0 444.604 * * [simplify]: Extracting #6: cost 251 inf + 0 444.606 * * [simplify]: Extracting #7: cost 299 inf + 1059 444.610 * * [simplify]: Extracting #8: cost 250 inf + 7525 444.620 * * [simplify]: Extracting #9: cost 160 inf + 31164 444.651 * * [simplify]: Extracting #10: cost 22 inf + 103681 444.696 * * [simplify]: Extracting #11: cost 0 inf + 117438 444.737 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 444.737 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 444.738 * * * * [progress]: [ 1347 / 4754 ] simplifiying candidate # 444.738 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 444.738 * * [simplify]: iters left: 6 (49 enodes) 444.752 * * [simplify]: iters left: 5 (247 enodes) 444.847 * * [simplify]: Extracting #0: cost 1 inf + 0 444.847 * * [simplify]: Extracting #1: cost 3 inf + 0 444.847 * * [simplify]: Extracting #2: cost 6 inf + 0 444.847 * * [simplify]: Extracting #3: cost 10 inf + 0 444.847 * * [simplify]: Extracting #4: cost 16 inf + 0 444.847 * * [simplify]: Extracting #5: cost 114 inf + 0 444.848 * * [simplify]: Extracting #6: cost 292 inf + 0 444.849 * * [simplify]: Extracting #7: cost 341 inf + 1432 444.853 * * [simplify]: Extracting #8: cost 231 inf + 23967 444.871 * * [simplify]: Extracting #9: cost 112 inf + 64407 444.892 * * [simplify]: Extracting #10: cost 16 inf + 115163 444.932 * * [simplify]: Extracting #11: cost 1 inf + 126806 444.965 * * [simplify]: Extracting #12: cost 0 inf + 128551 444.988 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 444.989 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 444.989 * * * * [progress]: [ 1348 / 4754 ] simplifiying candidate # 444.990 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 444.990 * * [simplify]: iters left: 6 (49 enodes) 445.003 * * [simplify]: iters left: 5 (247 enodes) 445.087 * * [simplify]: Extracting #0: cost 1 inf + 0 445.087 * * [simplify]: Extracting #1: cost 3 inf + 0 445.087 * * [simplify]: Extracting #2: cost 6 inf + 0 445.087 * * [simplify]: Extracting #3: cost 10 inf + 0 445.087 * * [simplify]: Extracting #4: cost 16 inf + 0 445.087 * * [simplify]: Extracting #5: cost 116 inf + 0 445.089 * * [simplify]: Extracting #6: cost 292 inf + 0 445.090 * * [simplify]: Extracting #7: cost 339 inf + 1432 445.095 * * [simplify]: Extracting #8: cost 197 inf + 30634 445.110 * * [simplify]: Extracting #9: cost 95 inf + 74192 445.145 * * [simplify]: Extracting #10: cost 11 inf + 120648 445.171 * * [simplify]: Extracting #11: cost 0 inf + 127031 445.195 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 445.195 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 445.196 * * * * [progress]: [ 1349 / 4754 ] simplifiying candidate # 445.196 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 445.196 * * [simplify]: iters left: 6 (49 enodes) 445.213 * * [simplify]: iters left: 5 (245 enodes) 445.326 * * [simplify]: Extracting #0: cost 1 inf + 0 445.326 * * [simplify]: Extracting #1: cost 3 inf + 0 445.326 * * [simplify]: Extracting #2: cost 6 inf + 0 445.326 * * [simplify]: Extracting #3: cost 10 inf + 0 445.326 * * [simplify]: Extracting #4: cost 16 inf + 0 445.326 * * [simplify]: Extracting #5: cost 112 inf + 0 445.327 * * [simplify]: Extracting #6: cost 279 inf + 0 445.328 * * [simplify]: Extracting #7: cost 315 inf + 1959 445.333 * * [simplify]: Extracting #8: cost 184 inf + 29223 445.350 * * [simplify]: Extracting #9: cost 65 inf + 78534 445.375 * * [simplify]: Extracting #10: cost 10 inf + 107713 445.397 * * [simplify]: Extracting #11: cost 0 inf + 116160 445.438 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 445.438 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 445.439 * * * * [progress]: [ 1350 / 4754 ] simplifiying candidate # 445.440 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 445.440 * * [simplify]: iters left: 6 (48 enodes) 445.462 * * [simplify]: iters left: 5 (239 enodes) 445.527 * * [simplify]: Extracting #0: cost 1 inf + 0 445.527 * * [simplify]: Extracting #1: cost 3 inf + 0 445.527 * * [simplify]: Extracting #2: cost 6 inf + 0 445.527 * * [simplify]: Extracting #3: cost 10 inf + 0 445.527 * * [simplify]: Extracting #4: cost 20 inf + 0 445.528 * * [simplify]: Extracting #5: cost 132 inf + 0 445.528 * * [simplify]: Extracting #6: cost 279 inf + 1 445.530 * * [simplify]: Extracting #7: cost 312 inf + 1958 445.535 * * [simplify]: Extracting #8: cost 197 inf + 25316 445.552 * * [simplify]: Extracting #9: cost 121 inf + 53335 445.572 * * [simplify]: Extracting #10: cost 29 inf + 97577 445.601 * * [simplify]: Extracting #11: cost 0 inf + 120367 445.623 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 445.623 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 445.624 * * * * [progress]: [ 1351 / 4754 ] simplifiying candidate # 445.624 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 445.625 * * [simplify]: iters left: 6 (49 enodes) 445.639 * * [simplify]: iters left: 5 (245 enodes) 445.735 * * [simplify]: Extracting #0: cost 1 inf + 0 445.735 * * [simplify]: Extracting #1: cost 3 inf + 0 445.735 * * [simplify]: Extracting #2: cost 6 inf + 0 445.735 * * [simplify]: Extracting #3: cost 10 inf + 0 445.735 * * [simplify]: Extracting #4: cost 20 inf + 0 445.736 * * [simplify]: Extracting #5: cost 126 inf + 0 445.736 * * [simplify]: Extracting #6: cost 276 inf + 44 445.738 * * [simplify]: Extracting #7: cost 306 inf + 2614 445.747 * * [simplify]: Extracting #8: cost 191 inf + 22874 445.762 * * [simplify]: Extracting #9: cost 119 inf + 46635 445.794 * * [simplify]: Extracting #10: cost 33 inf + 89004 445.813 * * [simplify]: Extracting #11: cost 3 inf + 106502 445.843 * * [simplify]: Extracting #12: cost 0 inf + 110977 445.883 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 445.883 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 445.884 * * * * [progress]: [ 1352 / 4754 ] simplifiying candidate # 445.885 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 445.886 * * [simplify]: iters left: 6 (48 enodes) 445.911 * * [simplify]: iters left: 5 (239 enodes) 445.997 * * [simplify]: Extracting #0: cost 1 inf + 0 445.997 * * [simplify]: Extracting #1: cost 3 inf + 0 445.997 * * [simplify]: Extracting #2: cost 6 inf + 0 445.998 * * [simplify]: Extracting #3: cost 10 inf + 0 445.998 * * [simplify]: Extracting #4: cost 20 inf + 0 445.998 * * [simplify]: Extracting #5: cost 132 inf + 0 445.998 * * [simplify]: Extracting #6: cost 279 inf + 1 446.000 * * [simplify]: Extracting #7: cost 312 inf + 1958 446.004 * * [simplify]: Extracting #8: cost 195 inf + 26241 446.013 * * [simplify]: Extracting #9: cost 122 inf + 53390 446.039 * * [simplify]: Extracting #10: cost 30 inf + 97301 446.063 * * [simplify]: Extracting #11: cost 0 inf + 121007 446.100 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 446.100 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 446.100 * * * * [progress]: [ 1353 / 4754 ] simplifiying candidate # 446.101 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 446.101 * * [simplify]: iters left: 6 (49 enodes) 446.113 * * [simplify]: iters left: 5 (245 enodes) 446.200 * * [simplify]: Extracting #0: cost 1 inf + 0 446.200 * * [simplify]: Extracting #1: cost 3 inf + 0 446.200 * * [simplify]: Extracting #2: cost 6 inf + 0 446.200 * * [simplify]: Extracting #3: cost 10 inf + 0 446.200 * * [simplify]: Extracting #4: cost 20 inf + 0 446.200 * * [simplify]: Extracting #5: cost 125 inf + 0 446.201 * * [simplify]: Extracting #6: cost 275 inf + 86 446.202 * * [simplify]: Extracting #7: cost 301 inf + 3102 446.206 * * [simplify]: Extracting #8: cost 189 inf + 23440 446.219 * * [simplify]: Extracting #9: cost 119 inf + 46671 446.253 * * [simplify]: Extracting #10: cost 33 inf + 89646 446.276 * * [simplify]: Extracting #11: cost 3 inf + 106742 446.304 * * [simplify]: Extracting #12: cost 0 inf + 111217 446.344 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 446.344 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 446.345 * * * * [progress]: [ 1354 / 4754 ] simplifiying candidate # 446.345 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 446.346 * * [simplify]: iters left: 6 (46 enodes) 446.370 * * [simplify]: iters left: 5 (226 enodes) 446.433 * * [simplify]: Extracting #0: cost 1 inf + 0 446.433 * * [simplify]: Extracting #1: cost 3 inf + 0 446.433 * * [simplify]: Extracting #2: cost 6 inf + 0 446.433 * * [simplify]: Extracting #3: cost 10 inf + 0 446.433 * * [simplify]: Extracting #4: cost 16 inf + 0 446.433 * * [simplify]: Extracting #5: cost 97 inf + 0 446.434 * * [simplify]: Extracting #6: cost 242 inf + 0 446.435 * * [simplify]: Extracting #7: cost 292 inf + 817 446.437 * * [simplify]: Extracting #8: cost 246 inf + 7401 446.441 * * [simplify]: Extracting #9: cost 162 inf + 26873 446.466 * * [simplify]: Extracting #10: cost 51 inf + 77754 446.506 * * [simplify]: Extracting #11: cost 2 inf + 107936 446.527 * * [simplify]: Extracting #12: cost 0 inf + 110146 446.557 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))))) 446.557 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 446.558 * * * * [progress]: [ 1355 / 4754 ] simplifiying candidate # 446.559 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 446.559 * * [simplify]: iters left: 6 (49 enodes) 446.586 * * [simplify]: iters left: 5 (247 enodes) 446.697 * * [simplify]: Extracting #0: cost 1 inf + 0 446.697 * * [simplify]: Extracting #1: cost 3 inf + 0 446.697 * * [simplify]: Extracting #2: cost 6 inf + 0 446.697 * * [simplify]: Extracting #3: cost 10 inf + 0 446.697 * * [simplify]: Extracting #4: cost 16 inf + 0 446.697 * * [simplify]: Extracting #5: cost 109 inf + 0 446.698 * * [simplify]: Extracting #6: cost 284 inf + 0 446.701 * * [simplify]: Extracting #7: cost 331 inf + 1678 446.709 * * [simplify]: Extracting #8: cost 205 inf + 25771 446.729 * * [simplify]: Extracting #9: cost 107 inf + 61957 446.771 * * [simplify]: Extracting #10: cost 11 inf + 111427 446.799 * * [simplify]: Extracting #11: cost 1 inf + 119038 446.829 * * [simplify]: Extracting #12: cost 0 inf + 120783 446.851 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 446.852 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 446.852 * * * * [progress]: [ 1356 / 4754 ] simplifiying candidate # 446.853 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 446.853 * * [simplify]: iters left: 6 (49 enodes) 446.877 * * [simplify]: iters left: 5 (247 enodes) 446.957 * * [simplify]: Extracting #0: cost 1 inf + 0 446.957 * * [simplify]: Extracting #1: cost 3 inf + 0 446.958 * * [simplify]: Extracting #2: cost 6 inf + 0 446.958 * * [simplify]: Extracting #3: cost 10 inf + 0 446.958 * * [simplify]: Extracting #4: cost 16 inf + 0 446.958 * * [simplify]: Extracting #5: cost 111 inf + 0 446.959 * * [simplify]: Extracting #6: cost 284 inf + 0 446.961 * * [simplify]: Extracting #7: cost 334 inf + 1229 446.973 * * [simplify]: Extracting #8: cost 215 inf + 22063 446.983 * * [simplify]: Extracting #9: cost 129 inf + 49672 446.997 * * [simplify]: Extracting #10: cost 52 inf + 86589 447.017 * * [simplify]: Extracting #11: cost 5 inf + 112018 447.050 * * [simplify]: Extracting #12: cost 2 inf + 115933 447.087 * * [simplify]: Extracting #13: cost 0 inf + 119103 447.111 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 447.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 447.112 * * * * [progress]: [ 1357 / 4754 ] simplifiying candidate # 447.112 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 447.113 * * [simplify]: iters left: 6 (49 enodes) 447.138 * * [simplify]: iters left: 5 (245 enodes) 447.210 * * [simplify]: Extracting #0: cost 1 inf + 0 447.210 * * [simplify]: Extracting #1: cost 3 inf + 0 447.210 * * [simplify]: Extracting #2: cost 6 inf + 0 447.210 * * [simplify]: Extracting #3: cost 10 inf + 0 447.210 * * [simplify]: Extracting #4: cost 16 inf + 0 447.210 * * [simplify]: Extracting #5: cost 107 inf + 0 447.211 * * [simplify]: Extracting #6: cost 271 inf + 0 447.212 * * [simplify]: Extracting #7: cost 309 inf + 1518 447.215 * * [simplify]: Extracting #8: cost 218 inf + 17046 447.223 * * [simplify]: Extracting #9: cost 132 inf + 44493 447.242 * * [simplify]: Extracting #10: cost 48 inf + 82075 447.279 * * [simplify]: Extracting #11: cost 4 inf + 105372 447.321 * * [simplify]: Extracting #12: cost 1 inf + 108527 447.345 * * [simplify]: Extracting #13: cost 0 inf + 109832 447.377 * * [simplify]: Extracting #14: cost 0 inf + 109752 447.398 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 447.398 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 447.399 * * * * [progress]: [ 1358 / 4754 ] simplifiying candidate # 447.399 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 447.400 * * [simplify]: iters left: 6 (48 enodes) 447.420 * * [simplify]: iters left: 5 (239 enodes) 447.504 * * [simplify]: Extracting #0: cost 1 inf + 0 447.504 * * [simplify]: Extracting #1: cost 3 inf + 0 447.504 * * [simplify]: Extracting #2: cost 6 inf + 0 447.504 * * [simplify]: Extracting #3: cost 10 inf + 0 447.504 * * [simplify]: Extracting #4: cost 20 inf + 0 447.505 * * [simplify]: Extracting #5: cost 127 inf + 0 447.506 * * [simplify]: Extracting #6: cost 271 inf + 1 447.508 * * [simplify]: Extracting #7: cost 311 inf + 946 447.516 * * [simplify]: Extracting #8: cost 199 inf + 22060 447.534 * * [simplify]: Extracting #9: cost 137 inf + 41951 447.564 * * [simplify]: Extracting #10: cost 35 inf + 89737 447.604 * * [simplify]: Extracting #11: cost 1 inf + 111374 447.635 * * [simplify]: Extracting #12: cost 0 inf + 112799 447.656 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 447.656 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 447.657 * * * * [progress]: [ 1359 / 4754 ] simplifiying candidate # 447.657 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 447.658 * * [simplify]: iters left: 6 (49 enodes) 447.685 * * [simplify]: iters left: 5 (245 enodes) 447.768 * * [simplify]: Extracting #0: cost 1 inf + 0 447.768 * * [simplify]: Extracting #1: cost 3 inf + 0 447.768 * * [simplify]: Extracting #2: cost 6 inf + 0 447.768 * * [simplify]: Extracting #3: cost 10 inf + 0 447.768 * * [simplify]: Extracting #4: cost 20 inf + 0 447.768 * * [simplify]: Extracting #5: cost 121 inf + 0 447.769 * * [simplify]: Extracting #6: cost 268 inf + 44 447.770 * * [simplify]: Extracting #7: cost 300 inf + 2132 447.774 * * [simplify]: Extracting #8: cost 192 inf + 20952 447.785 * * [simplify]: Extracting #9: cost 107 inf + 48380 447.803 * * [simplify]: Extracting #10: cost 20 inf + 89042 447.832 * * [simplify]: Extracting #11: cost 3 inf + 100494 447.857 * * [simplify]: Extracting #12: cost 0 inf + 104569 447.895 * * [simplify]: Extracting #13: cost 0 inf + 104369 447.934 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 447.934 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 447.935 * * * * [progress]: [ 1360 / 4754 ] simplifiying candidate # 447.936 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 447.936 * * [simplify]: iters left: 6 (48 enodes) 447.962 * * [simplify]: iters left: 5 (239 enodes) 448.034 * * [simplify]: Extracting #0: cost 1 inf + 0 448.034 * * [simplify]: Extracting #1: cost 3 inf + 0 448.034 * * [simplify]: Extracting #2: cost 6 inf + 0 448.034 * * [simplify]: Extracting #3: cost 10 inf + 0 448.034 * * [simplify]: Extracting #4: cost 20 inf + 0 448.034 * * [simplify]: Extracting #5: cost 127 inf + 0 448.035 * * [simplify]: Extracting #6: cost 271 inf + 1 448.036 * * [simplify]: Extracting #7: cost 311 inf + 946 448.040 * * [simplify]: Extracting #8: cost 210 inf + 19544 448.051 * * [simplify]: Extracting #9: cost 138 inf + 42227 448.066 * * [simplify]: Extracting #10: cost 35 inf + 90377 448.093 * * [simplify]: Extracting #11: cost 1 inf + 112014 448.115 * * [simplify]: Extracting #12: cost 0 inf + 113439 448.153 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 448.153 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 448.154 * * * * [progress]: [ 1361 / 4754 ] simplifiying candidate # 448.154 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 448.154 * * [simplify]: iters left: 6 (49 enodes) 448.168 * * [simplify]: iters left: 5 (245 enodes) 448.243 * * [simplify]: Extracting #0: cost 1 inf + 0 448.243 * * [simplify]: Extracting #1: cost 3 inf + 0 448.243 * * [simplify]: Extracting #2: cost 6 inf + 0 448.243 * * [simplify]: Extracting #3: cost 10 inf + 0 448.243 * * [simplify]: Extracting #4: cost 20 inf + 0 448.244 * * [simplify]: Extracting #5: cost 120 inf + 0 448.244 * * [simplify]: Extracting #6: cost 267 inf + 86 448.246 * * [simplify]: Extracting #7: cost 292 inf + 3269 448.254 * * [simplify]: Extracting #8: cost 184 inf + 22818 448.269 * * [simplify]: Extracting #9: cost 107 inf + 48297 448.295 * * [simplify]: Extracting #10: cost 20 inf + 89282 448.314 * * [simplify]: Extracting #11: cost 3 inf + 100894 448.344 * * [simplify]: Extracting #12: cost 0 inf + 104809 448.363 * * [simplify]: Extracting #13: cost 0 inf + 104609 448.383 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 448.383 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 448.384 * * * * [progress]: [ 1362 / 4754 ] simplifiying candidate # 448.384 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 448.384 * * [simplify]: iters left: 6 (48 enodes) 448.398 * * [simplify]: iters left: 5 (242 enodes) 448.482 * * [simplify]: Extracting #0: cost 1 inf + 0 448.482 * * [simplify]: Extracting #1: cost 3 inf + 0 448.483 * * [simplify]: Extracting #2: cost 6 inf + 0 448.483 * * [simplify]: Extracting #3: cost 10 inf + 0 448.483 * * [simplify]: Extracting #4: cost 16 inf + 0 448.483 * * [simplify]: Extracting #5: cost 101 inf + 0 448.483 * * [simplify]: Extracting #6: cost 258 inf + 2 448.484 * * [simplify]: Extracting #7: cost 292 inf + 1620 448.489 * * [simplify]: Extracting #8: cost 173 inf + 30767 448.504 * * [simplify]: Extracting #9: cost 40 inf + 80562 448.521 * * [simplify]: Extracting #10: cost 2 inf + 98596 448.545 * * [simplify]: Extracting #11: cost 0 inf + 101564 448.571 * * [simplify]: Extracting #12: cost 0 inf + 101202 448.609 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 448.609 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 448.610 * * * * [progress]: [ 1363 / 4754 ] simplifiying candidate # 448.611 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 448.611 * * [simplify]: iters left: 6 (48 enodes) 448.631 * * [simplify]: iters left: 5 (240 enodes) 448.699 * * [simplify]: Extracting #0: cost 1 inf + 0 448.699 * * [simplify]: Extracting #1: cost 3 inf + 0 448.699 * * [simplify]: Extracting #2: cost 6 inf + 0 448.699 * * [simplify]: Extracting #3: cost 10 inf + 0 448.699 * * [simplify]: Extracting #4: cost 19 inf + 0 448.699 * * [simplify]: Extracting #5: cost 108 inf + 0 448.699 * * [simplify]: Extracting #6: cost 259 inf + 0 448.700 * * [simplify]: Extracting #7: cost 286 inf + 2419 448.705 * * [simplify]: Extracting #8: cost 164 inf + 28892 448.727 * * [simplify]: Extracting #9: cost 39 inf + 78246 448.749 * * [simplify]: Extracting #10: cost 3 inf + 94825 448.770 * * [simplify]: Extracting #11: cost 0 inf + 98327 448.789 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 448.789 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 448.790 * * * * [progress]: [ 1364 / 4754 ] simplifiying candidate # 448.790 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 448.790 * * [simplify]: iters left: 6 (48 enodes) 448.809 * * [simplify]: iters left: 5 (255 enodes) 448.877 * * [simplify]: Extracting #0: cost 1 inf + 0 448.877 * * [simplify]: Extracting #1: cost 3 inf + 0 448.877 * * [simplify]: Extracting #2: cost 6 inf + 0 448.877 * * [simplify]: Extracting #3: cost 10 inf + 0 448.877 * * [simplify]: Extracting #4: cost 16 inf + 0 448.878 * * [simplify]: Extracting #5: cost 118 inf + 0 448.879 * * [simplify]: Extracting #6: cost 315 inf + 0 448.881 * * [simplify]: Extracting #7: cost 375 inf + 2965 448.892 * * [simplify]: Extracting #8: cost 215 inf + 40710 448.926 * * [simplify]: Extracting #9: cost 36 inf + 118846 448.966 * * [simplify]: Extracting #10: cost 4 inf + 136126 449.001 * * [simplify]: Extracting #11: cost 0 inf + 139840 449.047 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 449.047 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 449.048 * * * * [progress]: [ 1365 / 4754 ] simplifiying candidate # 449.049 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 449.049 * * [simplify]: iters left: 6 (46 enodes) 449.076 * * [simplify]: iters left: 5 (237 enodes) 449.163 * * [simplify]: Extracting #0: cost 1 inf + 0 449.163 * * [simplify]: Extracting #1: cost 3 inf + 0 449.163 * * [simplify]: Extracting #2: cost 6 inf + 0 449.163 * * [simplify]: Extracting #3: cost 10 inf + 0 449.163 * * [simplify]: Extracting #4: cost 16 inf + 0 449.163 * * [simplify]: Extracting #5: cost 106 inf + 0 449.164 * * [simplify]: Extracting #6: cost 271 inf + 0 449.166 * * [simplify]: Extracting #7: cost 324 inf + 1307 449.174 * * [simplify]: Extracting #8: cost 197 inf + 22658 449.191 * * [simplify]: Extracting #9: cost 119 inf + 51821 449.223 * * [simplify]: Extracting #10: cost 39 inf + 96103 449.248 * * [simplify]: Extracting #11: cost 0 inf + 119205 449.280 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 449.280 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 449.280 * * * * [progress]: [ 1366 / 4754 ] simplifiying candidate # 449.281 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 449.281 * * [simplify]: iters left: 6 (48 enodes) 449.294 * * [simplify]: iters left: 5 (249 enodes) 449.362 * * [simplify]: Extracting #0: cost 1 inf + 0 449.362 * * [simplify]: Extracting #1: cost 3 inf + 0 449.362 * * [simplify]: Extracting #2: cost 6 inf + 0 449.362 * * [simplify]: Extracting #3: cost 10 inf + 0 449.362 * * [simplify]: Extracting #4: cost 16 inf + 0 449.362 * * [simplify]: Extracting #5: cost 113 inf + 0 449.363 * * [simplify]: Extracting #6: cost 274 inf + 0 449.364 * * [simplify]: Extracting #7: cost 340 inf + 1309 449.368 * * [simplify]: Extracting #8: cost 215 inf + 23667 449.392 * * [simplify]: Extracting #9: cost 96 inf + 74091 449.433 * * [simplify]: Extracting #10: cost 9 inf + 121434 449.475 * * [simplify]: Extracting #11: cost 0 inf + 124974 449.498 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))))) 449.498 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 449.499 * * * * [progress]: [ 1367 / 4754 ] simplifiying candidate # 449.499 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 449.499 * * [simplify]: iters left: 6 (48 enodes) 449.512 * * [simplify]: iters left: 5 (255 enodes) 449.573 * * [simplify]: Extracting #0: cost 1 inf + 0 449.573 * * [simplify]: Extracting #1: cost 3 inf + 0 449.573 * * [simplify]: Extracting #2: cost 6 inf + 0 449.574 * * [simplify]: Extracting #3: cost 10 inf + 0 449.574 * * [simplify]: Extracting #4: cost 16 inf + 0 449.574 * * [simplify]: Extracting #5: cost 115 inf + 0 449.574 * * [simplify]: Extracting #6: cost 305 inf + 0 449.576 * * [simplify]: Extracting #7: cost 353 inf + 2361 449.584 * * [simplify]: Extracting #8: cost 213 inf + 36159 449.610 * * [simplify]: Extracting #9: cost 37 inf + 102098 449.646 * * [simplify]: Extracting #10: cost 2 inf + 120515 449.669 * * [simplify]: Extracting #11: cost 0 inf + 123725 449.695 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 449.695 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 449.695 * * * * [progress]: [ 1368 / 4754 ] simplifiying candidate # 449.696 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 449.696 * * [simplify]: iters left: 6 (48 enodes) 449.709 * * [simplify]: iters left: 5 (251 enodes) 449.819 * * [simplify]: Extracting #0: cost 1 inf + 0 449.820 * * [simplify]: Extracting #1: cost 3 inf + 0 449.820 * * [simplify]: Extracting #2: cost 6 inf + 0 449.820 * * [simplify]: Extracting #3: cost 10 inf + 0 449.820 * * [simplify]: Extracting #4: cost 20 inf + 0 449.820 * * [simplify]: Extracting #5: cost 135 inf + 0 449.821 * * [simplify]: Extracting #6: cost 305 inf + 1 449.824 * * [simplify]: Extracting #7: cost 348 inf + 2930 449.834 * * [simplify]: Extracting #8: cost 212 inf + 34761 449.865 * * [simplify]: Extracting #9: cost 50 inf + 97470 449.909 * * [simplify]: Extracting #10: cost 4 inf + 123010 449.956 * * [simplify]: Extracting #11: cost 1 inf + 126232 450.004 * * [simplify]: Extracting #12: cost 0 inf + 127977 450.038 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 450.038 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 450.039 * * * * [progress]: [ 1369 / 4754 ] simplifiying candidate # 450.039 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 450.039 * * [simplify]: iters left: 6 (48 enodes) 450.052 * * [simplify]: iters left: 5 (251 enodes) 450.137 * * [simplify]: Extracting #0: cost 1 inf + 0 450.137 * * [simplify]: Extracting #1: cost 3 inf + 0 450.137 * * [simplify]: Extracting #2: cost 6 inf + 0 450.137 * * [simplify]: Extracting #3: cost 10 inf + 0 450.137 * * [simplify]: Extracting #4: cost 20 inf + 0 450.137 * * [simplify]: Extracting #5: cost 125 inf + 0 450.138 * * [simplify]: Extracting #6: cost 292 inf + 44 450.139 * * [simplify]: Extracting #7: cost 341 inf + 1924 450.145 * * [simplify]: Extracting #8: cost 180 inf + 42425 450.177 * * [simplify]: Extracting #9: cost 44 inf + 92696 450.204 * * [simplify]: Extracting #10: cost 4 inf + 112114 450.245 * * [simplify]: Extracting #11: cost 1 inf + 115296 450.287 * * [simplify]: Extracting #12: cost 0 inf + 117041 450.329 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))))) 450.329 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 450.330 * * * * [progress]: [ 1370 / 4754 ] simplifiying candidate # 450.331 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 450.331 * * [simplify]: iters left: 6 (48 enodes) 450.351 * * [simplify]: iters left: 5 (251 enodes) 450.432 * * [simplify]: Extracting #0: cost 1 inf + 0 450.432 * * [simplify]: Extracting #1: cost 3 inf + 0 450.432 * * [simplify]: Extracting #2: cost 6 inf + 0 450.432 * * [simplify]: Extracting #3: cost 10 inf + 0 450.432 * * [simplify]: Extracting #4: cost 20 inf + 0 450.433 * * [simplify]: Extracting #5: cost 135 inf + 0 450.433 * * [simplify]: Extracting #6: cost 305 inf + 1 450.435 * * [simplify]: Extracting #7: cost 348 inf + 2930 450.443 * * [simplify]: Extracting #8: cost 212 inf + 34761 450.475 * * [simplify]: Extracting #9: cost 50 inf + 97950 450.498 * * [simplify]: Extracting #10: cost 4 inf + 123650 450.527 * * [simplify]: Extracting #11: cost 1 inf + 126872 450.557 * * [simplify]: Extracting #12: cost 0 inf + 128617 450.586 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 450.586 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 450.587 * * * * [progress]: [ 1371 / 4754 ] simplifiying candidate # 450.588 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 450.588 * * [simplify]: iters left: 6 (48 enodes) 450.603 * * [simplify]: iters left: 5 (251 enodes) 450.708 * * [simplify]: Extracting #0: cost 1 inf + 0 450.708 * * [simplify]: Extracting #1: cost 3 inf + 0 450.708 * * [simplify]: Extracting #2: cost 6 inf + 0 450.708 * * [simplify]: Extracting #3: cost 10 inf + 0 450.708 * * [simplify]: Extracting #4: cost 20 inf + 0 450.709 * * [simplify]: Extracting #5: cost 124 inf + 0 450.709 * * [simplify]: Extracting #6: cost 292 inf + 44 450.711 * * [simplify]: Extracting #7: cost 341 inf + 1924 450.717 * * [simplify]: Extracting #8: cost 185 inf + 40483 450.749 * * [simplify]: Extracting #9: cost 52 inf + 91622 450.776 * * [simplify]: Extracting #10: cost 2 inf + 115364 450.809 * * [simplify]: Extracting #11: cost 0 inf + 117281 450.831 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 450.831 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 450.832 * * * * [progress]: [ 1372 / 4754 ] simplifiying candidate # 450.832 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 450.833 * * [simplify]: iters left: 6 (48 enodes) 450.846 * * [simplify]: iters left: 5 (247 enodes) 450.917 * * [simplify]: Extracting #0: cost 1 inf + 0 450.917 * * [simplify]: Extracting #1: cost 3 inf + 0 450.917 * * [simplify]: Extracting #2: cost 6 inf + 0 450.917 * * [simplify]: Extracting #3: cost 10 inf + 0 450.917 * * [simplify]: Extracting #4: cost 16 inf + 0 450.917 * * [simplify]: Extracting #5: cost 126 inf + 0 450.918 * * [simplify]: Extracting #6: cost 282 inf + 0 450.919 * * [simplify]: Extracting #7: cost 340 inf + 1798 450.924 * * [simplify]: Extracting #8: cost 208 inf + 26974 450.937 * * [simplify]: Extracting #9: cost 94 inf + 76136 450.978 * * [simplify]: Extracting #10: cost 6 inf + 124030 451.023 * * [simplify]: Extracting #11: cost 1 inf + 128820 451.070 * * [simplify]: Extracting #12: cost 0 inf + 130485 451.113 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 451.113 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 451.114 * * * * [progress]: [ 1373 / 4754 ] simplifiying candidate # 451.114 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 451.114 * * [simplify]: iters left: 6 (46 enodes) 451.129 * * [simplify]: iters left: 5 (233 enodes) 451.202 * * [simplify]: Extracting #0: cost 1 inf + 0 451.203 * * [simplify]: Extracting #1: cost 3 inf + 0 451.203 * * [simplify]: Extracting #2: cost 5 inf + 0 451.203 * * [simplify]: Extracting #3: cost 7 inf + 0 451.203 * * [simplify]: Extracting #4: cost 10 inf + 0 451.203 * * [simplify]: Extracting #5: cost 73 inf + 0 451.204 * * [simplify]: Extracting #6: cost 223 inf + 0 451.205 * * [simplify]: Extracting #7: cost 269 inf + 1310 451.208 * * [simplify]: Extracting #8: cost 158 inf + 19226 451.220 * * [simplify]: Extracting #9: cost 87 inf + 47691 451.236 * * [simplify]: Extracting #10: cost 13 inf + 87758 451.258 * * [simplify]: Extracting #11: cost 0 inf + 94734 451.284 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))))) 451.284 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 451.285 * * * * [progress]: [ 1374 / 4754 ] simplifiying candidate # 451.285 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 451.286 * * [simplify]: iters left: 6 (48 enodes) 451.299 * * [simplify]: iters left: 5 (242 enodes) 451.401 * * [simplify]: Extracting #0: cost 1 inf + 0 451.401 * * [simplify]: Extracting #1: cost 3 inf + 0 451.401 * * [simplify]: Extracting #2: cost 5 inf + 0 451.401 * * [simplify]: Extracting #3: cost 7 inf + 0 451.401 * * [simplify]: Extracting #4: cost 10 inf + 0 451.401 * * [simplify]: Extracting #5: cost 80 inf + 0 451.402 * * [simplify]: Extracting #6: cost 246 inf + 0 451.405 * * [simplify]: Extracting #7: cost 296 inf + 1555 451.412 * * [simplify]: Extracting #8: cost 181 inf + 20689 451.426 * * [simplify]: Extracting #9: cost 126 inf + 39558 451.456 * * [simplify]: Extracting #10: cost 37 inf + 80460 451.493 * * [simplify]: Extracting #11: cost 6 inf + 99219 451.530 * * [simplify]: Extracting #12: cost 1 inf + 105704 451.568 * * [simplify]: Extracting #13: cost 0 inf + 107049 451.606 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 451.606 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 451.607 * * * * [progress]: [ 1375 / 4754 ] simplifiying candidate # 451.607 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 451.607 * * [simplify]: iters left: 6 (48 enodes) 451.622 * * [simplify]: iters left: 5 (247 enodes) 451.699 * * [simplify]: Extracting #0: cost 1 inf + 0 451.699 * * [simplify]: Extracting #1: cost 3 inf + 0 451.699 * * [simplify]: Extracting #2: cost 6 inf + 0 451.699 * * [simplify]: Extracting #3: cost 10 inf + 0 451.699 * * [simplify]: Extracting #4: cost 16 inf + 0 451.699 * * [simplify]: Extracting #5: cost 123 inf + 0 451.700 * * [simplify]: Extracting #6: cost 290 inf + 0 451.701 * * [simplify]: Extracting #7: cost 329 inf + 2569 451.709 * * [simplify]: Extracting #8: cost 178 inf + 35398 451.738 * * [simplify]: Extracting #9: cost 66 inf + 87287 451.761 * * [simplify]: Extracting #10: cost 1 inf + 120985 451.784 * * [simplify]: Extracting #11: cost 0 inf + 122690 451.808 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 451.808 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 451.809 * * * * [progress]: [ 1376 / 4754 ] simplifiying candidate # 451.809 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 451.809 * * [simplify]: iters left: 6 (48 enodes) 451.831 * * [simplify]: iters left: 5 (247 enodes) 451.932 * * [simplify]: Extracting #0: cost 1 inf + 0 451.932 * * [simplify]: Extracting #1: cost 3 inf + 0 451.932 * * [simplify]: Extracting #2: cost 6 inf + 0 451.932 * * [simplify]: Extracting #3: cost 10 inf + 0 451.932 * * [simplify]: Extracting #4: cost 20 inf + 0 451.933 * * [simplify]: Extracting #5: cost 158 inf + 0 451.933 * * [simplify]: Extracting #6: cost 301 inf + 1 451.935 * * [simplify]: Extracting #7: cost 341 inf + 1842 451.947 * * [simplify]: Extracting #8: cost 174 inf + 48617 451.987 * * [simplify]: Extracting #9: cost 39 inf + 108601 452.011 * * [simplify]: Extracting #10: cost 4 inf + 123627 452.054 * * [simplify]: Extracting #11: cost 1 inf + 128342 452.079 * * [simplify]: Extracting #12: cost 0 inf + 130087 452.121 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 452.121 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 452.123 * * * * [progress]: [ 1377 / 4754 ] simplifiying candidate # 452.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 452.124 * * [simplify]: iters left: 6 (48 enodes) 452.142 * * [simplify]: iters left: 5 (247 enodes) 452.226 * * [simplify]: Extracting #0: cost 1 inf + 0 452.226 * * [simplify]: Extracting #1: cost 3 inf + 0 452.226 * * [simplify]: Extracting #2: cost 6 inf + 0 452.226 * * [simplify]: Extracting #3: cost 10 inf + 0 452.226 * * [simplify]: Extracting #4: cost 20 inf + 0 452.226 * * [simplify]: Extracting #5: cost 140 inf + 0 452.228 * * [simplify]: Extracting #6: cost 296 inf + 44 452.231 * * [simplify]: Extracting #7: cost 324 inf + 4758 452.245 * * [simplify]: Extracting #8: cost 171 inf + 46448 452.269 * * [simplify]: Extracting #9: cost 32 inf + 107135 452.300 * * [simplify]: Extracting #10: cost 1 inf + 120145 452.325 * * [simplify]: Extracting #11: cost 0 inf + 121930 452.370 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 452.370 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 452.371 * * * * [progress]: [ 1378 / 4754 ] simplifiying candidate # 452.372 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 452.373 * * [simplify]: iters left: 6 (48 enodes) 452.402 * * [simplify]: iters left: 5 (247 enodes) 452.491 * * [simplify]: Extracting #0: cost 1 inf + 0 452.491 * * [simplify]: Extracting #1: cost 3 inf + 0 452.491 * * [simplify]: Extracting #2: cost 6 inf + 0 452.491 * * [simplify]: Extracting #3: cost 10 inf + 0 452.491 * * [simplify]: Extracting #4: cost 20 inf + 0 452.492 * * [simplify]: Extracting #5: cost 158 inf + 0 452.493 * * [simplify]: Extracting #6: cost 295 inf + 1 452.499 * * [simplify]: Extracting #7: cost 339 inf + 1516 452.511 * * [simplify]: Extracting #8: cost 172 inf + 38738 452.532 * * [simplify]: Extracting #9: cost 73 inf + 85009 452.555 * * [simplify]: Extracting #10: cost 6 inf + 124278 452.583 * * [simplify]: Extracting #11: cost 1 inf + 127162 452.622 * * [simplify]: Extracting #12: cost 0 inf + 128907 452.650 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 452.650 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 452.651 * * * * [progress]: [ 1379 / 4754 ] simplifiying candidate # 452.651 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 452.652 * * [simplify]: iters left: 6 (48 enodes) 452.672 * * [simplify]: iters left: 5 (247 enodes) 452.753 * * [simplify]: Extracting #0: cost 1 inf + 0 452.753 * * [simplify]: Extracting #1: cost 3 inf + 0 452.753 * * [simplify]: Extracting #2: cost 6 inf + 0 452.753 * * [simplify]: Extracting #3: cost 10 inf + 0 452.753 * * [simplify]: Extracting #4: cost 20 inf + 0 452.753 * * [simplify]: Extracting #5: cost 140 inf + 0 452.754 * * [simplify]: Extracting #6: cost 297 inf + 2 452.755 * * [simplify]: Extracting #7: cost 335 inf + 2693 452.761 * * [simplify]: Extracting #8: cost 198 inf + 33594 452.785 * * [simplify]: Extracting #9: cost 55 inf + 93705 452.811 * * [simplify]: Extracting #10: cost 3 inf + 116975 452.850 * * [simplify]: Extracting #11: cost 1 inf + 120505 452.875 * * [simplify]: Extracting #12: cost 0 inf + 122290 452.922 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 452.922 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 452.923 * * * * [progress]: [ 1380 / 4754 ] simplifiying candidate # 452.923 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 452.924 * * [simplify]: iters left: 6 (46 enodes) 452.945 * * [simplify]: iters left: 5 (231 enodes) 453.011 * * [simplify]: Extracting #0: cost 1 inf + 0 453.011 * * [simplify]: Extracting #1: cost 3 inf + 0 453.011 * * [simplify]: Extracting #2: cost 6 inf + 0 453.011 * * [simplify]: Extracting #3: cost 10 inf + 0 453.011 * * [simplify]: Extracting #4: cost 16 inf + 0 453.012 * * [simplify]: Extracting #5: cost 106 inf + 0 453.012 * * [simplify]: Extracting #6: cost 250 inf + 0 453.013 * * [simplify]: Extracting #7: cost 303 inf + 1310 453.017 * * [simplify]: Extracting #8: cost 189 inf + 20878 453.029 * * [simplify]: Extracting #9: cost 101 inf + 54359 453.059 * * [simplify]: Extracting #10: cost 21 inf + 97483 453.099 * * [simplify]: Extracting #11: cost 3 inf + 112388 453.142 * * [simplify]: Extracting #12: cost 0 inf + 116663 453.185 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 453.186 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 453.187 * * * * [progress]: [ 1381 / 4754 ] simplifiying candidate # 453.187 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 453.188 * * [simplify]: iters left: 6 (40 enodes) 453.211 * * [simplify]: iters left: 5 (198 enodes) 453.271 * * [simplify]: Extracting #0: cost 1 inf + 0 453.271 * * [simplify]: Extracting #1: cost 4 inf + 0 453.271 * * [simplify]: Extracting #2: cost 7 inf + 0 453.271 * * [simplify]: Extracting #3: cost 10 inf + 0 453.271 * * [simplify]: Extracting #4: cost 64 inf + 0 453.271 * * [simplify]: Extracting #5: cost 189 inf + 0 453.272 * * [simplify]: Extracting #6: cost 227 inf + 989 453.275 * * [simplify]: Extracting #7: cost 135 inf + 15673 453.282 * * [simplify]: Extracting #8: cost 78 inf + 35817 453.293 * * [simplify]: Extracting #9: cost 26 inf + 61024 453.318 * * [simplify]: Extracting #10: cost 2 inf + 75357 453.345 * * [simplify]: Extracting #11: cost 0 inf + 77967 453.371 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 453.371 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 453.372 * * * * [progress]: [ 1382 / 4754 ] simplifiying candidate # 453.373 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 453.373 * * [simplify]: iters left: 6 (46 enodes) 453.398 * * [simplify]: iters left: 5 (229 enodes) 453.471 * * [simplify]: Extracting #0: cost 1 inf + 0 453.471 * * [simplify]: Extracting #1: cost 4 inf + 0 453.471 * * [simplify]: Extracting #2: cost 7 inf + 0 453.471 * * [simplify]: Extracting #3: cost 10 inf + 0 453.471 * * [simplify]: Extracting #4: cost 79 inf + 0 453.472 * * [simplify]: Extracting #5: cost 222 inf + 0 453.474 * * [simplify]: Extracting #6: cost 265 inf + 1190 453.480 * * [simplify]: Extracting #7: cost 171 inf + 16757 453.494 * * [simplify]: Extracting #8: cost 103 inf + 39734 453.518 * * [simplify]: Extracting #9: cost 37 inf + 69845 453.550 * * [simplify]: Extracting #10: cost 4 inf + 92071 453.587 * * [simplify]: Extracting #11: cost 0 inf + 97291 453.621 * [simplify]: Simplified to (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2))))) 453.621 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 453.623 * * * * [progress]: [ 1383 / 4754 ] simplifiying candidate # 453.623 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 453.624 * * [simplify]: iters left: 6 (46 enodes) 453.636 * * [simplify]: iters left: 5 (233 enodes) 453.694 * * [simplify]: Extracting #0: cost 1 inf + 0 453.694 * * [simplify]: Extracting #1: cost 3 inf + 0 453.694 * * [simplify]: Extracting #2: cost 6 inf + 0 453.694 * * [simplify]: Extracting #3: cost 10 inf + 0 453.694 * * [simplify]: Extracting #4: cost 16 inf + 0 453.695 * * [simplify]: Extracting #5: cost 101 inf + 0 453.695 * * [simplify]: Extracting #6: cost 255 inf + 0 453.696 * * [simplify]: Extracting #7: cost 295 inf + 1187 453.701 * * [simplify]: Extracting #8: cost 195 inf + 18854 453.710 * * [simplify]: Extracting #9: cost 96 inf + 53595 453.725 * * [simplify]: Extracting #10: cost 30 inf + 86831 453.761 * * [simplify]: Extracting #11: cost 0 inf + 108795 453.804 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (+ lambda1 lambda2)))))) 453.805 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 453.806 * * * * [progress]: [ 1384 / 4754 ] simplifiying candidate # 453.806 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 453.807 * * [simplify]: iters left: 6 (46 enodes) 453.831 * * [simplify]: iters left: 5 (232 enodes) 453.909 * * [simplify]: Extracting #0: cost 1 inf + 0 453.909 * * [simplify]: Extracting #1: cost 3 inf + 0 453.909 * * [simplify]: Extracting #2: cost 6 inf + 0 453.909 * * [simplify]: Extracting #3: cost 10 inf + 0 453.909 * * [simplify]: Extracting #4: cost 20 inf + 0 453.909 * * [simplify]: Extracting #5: cost 126 inf + 0 453.910 * * [simplify]: Extracting #6: cost 262 inf + 1 453.912 * * [simplify]: Extracting #7: cost 296 inf + 1516 453.918 * * [simplify]: Extracting #8: cost 202 inf + 16203 453.934 * * [simplify]: Extracting #9: cost 112 inf + 47958 453.965 * * [simplify]: Extracting #10: cost 20 inf + 93548 454.003 * * [simplify]: Extracting #11: cost 2 inf + 108544 454.042 * * [simplify]: Extracting #12: cost 0 inf + 111514 454.083 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) 454.084 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 454.085 * * * * [progress]: [ 1385 / 4754 ] simplifiying candidate # 454.086 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 454.086 * * [simplify]: iters left: 6 (46 enodes) 454.109 * * [simplify]: iters left: 5 (233 enodes) 454.188 * * [simplify]: Extracting #0: cost 1 inf + 0 454.188 * * [simplify]: Extracting #1: cost 3 inf + 0 454.188 * * [simplify]: Extracting #2: cost 6 inf + 0 454.188 * * [simplify]: Extracting #3: cost 10 inf + 0 454.188 * * [simplify]: Extracting #4: cost 20 inf + 0 454.188 * * [simplify]: Extracting #5: cost 117 inf + 0 454.189 * * [simplify]: Extracting #6: cost 260 inf + 44 454.192 * * [simplify]: Extracting #7: cost 290 inf + 2333 454.198 * * [simplify]: Extracting #8: cost 170 inf + 25650 454.211 * * [simplify]: Extracting #9: cost 49 inf + 77121 454.230 * * [simplify]: Extracting #10: cost 11 inf + 96711 454.269 * * [simplify]: Extracting #11: cost 2 inf + 103004 454.293 * * [simplify]: Extracting #12: cost 0 inf + 106454 454.313 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) 454.314 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 454.314 * * * * [progress]: [ 1386 / 4754 ] simplifiying candidate # 454.315 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 454.315 * * [simplify]: iters left: 6 (46 enodes) 454.327 * * [simplify]: iters left: 5 (231 enodes) 454.407 * * [simplify]: Extracting #0: cost 1 inf + 0 454.407 * * [simplify]: Extracting #1: cost 3 inf + 0 454.407 * * [simplify]: Extracting #2: cost 6 inf + 0 454.407 * * [simplify]: Extracting #3: cost 10 inf + 0 454.407 * * [simplify]: Extracting #4: cost 20 inf + 0 454.407 * * [simplify]: Extracting #5: cost 127 inf + 0 454.408 * * [simplify]: Extracting #6: cost 256 inf + 42 454.409 * * [simplify]: Extracting #7: cost 282 inf + 2854 454.413 * * [simplify]: Extracting #8: cost 184 inf + 20164 454.429 * * [simplify]: Extracting #9: cost 116 inf + 45091 454.449 * * [simplify]: Extracting #10: cost 25 inf + 91568 454.482 * * [simplify]: Extracting #11: cost 0 inf + 110578 454.518 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 454.518 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 454.519 * * * * [progress]: [ 1387 / 4754 ] simplifiying candidate # 454.519 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 454.519 * * [simplify]: iters left: 6 (46 enodes) 454.532 * * [simplify]: iters left: 5 (233 enodes) 454.621 * * [simplify]: Extracting #0: cost 1 inf + 0 454.621 * * [simplify]: Extracting #1: cost 3 inf + 0 454.621 * * [simplify]: Extracting #2: cost 6 inf + 0 454.621 * * [simplify]: Extracting #3: cost 10 inf + 0 454.621 * * [simplify]: Extracting #4: cost 20 inf + 0 454.621 * * [simplify]: Extracting #5: cost 116 inf + 0 454.622 * * [simplify]: Extracting #6: cost 260 inf + 44 454.624 * * [simplify]: Extracting #7: cost 296 inf + 1644 454.630 * * [simplify]: Extracting #8: cost 194 inf + 18476 454.645 * * [simplify]: Extracting #9: cost 109 inf + 45929 454.673 * * [simplify]: Extracting #10: cost 26 inf + 85629 454.708 * * [simplify]: Extracting #11: cost 2 inf + 103084 454.746 * * [simplify]: Extracting #12: cost 0 inf + 106534 454.786 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 454.787 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 454.788 * * * * [progress]: [ 1388 / 4754 ] simplifiying candidate # 454.788 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 454.789 * * [simplify]: iters left: 6 (48 enodes) 454.814 * * [simplify]: iters left: 5 (256 enodes) 454.916 * * [simplify]: Extracting #0: cost 1 inf + 0 454.916 * * [simplify]: Extracting #1: cost 3 inf + 0 454.916 * * [simplify]: Extracting #2: cost 6 inf + 0 454.916 * * [simplify]: Extracting #3: cost 10 inf + 0 454.916 * * [simplify]: Extracting #4: cost 16 inf + 0 454.916 * * [simplify]: Extracting #5: cost 118 inf + 0 454.918 * * [simplify]: Extracting #6: cost 309 inf + 0 454.920 * * [simplify]: Extracting #7: cost 354 inf + 2405 454.931 * * [simplify]: Extracting #8: cost 205 inf + 35688 454.968 * * [simplify]: Extracting #9: cost 32 inf + 107799 455.013 * * [simplify]: Extracting #10: cost 3 inf + 125867 455.056 * * [simplify]: Extracting #11: cost 0 inf + 127916 455.082 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) 455.082 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 455.084 * * * * [progress]: [ 1389 / 4754 ] simplifiying candidate # 455.084 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 455.085 * * [simplify]: iters left: 6 (46 enodes) 455.110 * * [simplify]: iters left: 5 (240 enodes) 455.195 * * [simplify]: Extracting #0: cost 1 inf + 0 455.195 * * [simplify]: Extracting #1: cost 3 inf + 0 455.195 * * [simplify]: Extracting #2: cost 6 inf + 0 455.195 * * [simplify]: Extracting #3: cost 10 inf + 0 455.196 * * [simplify]: Extracting #4: cost 16 inf + 0 455.196 * * [simplify]: Extracting #5: cost 105 inf + 0 455.196 * * [simplify]: Extracting #6: cost 273 inf + 0 455.197 * * [simplify]: Extracting #7: cost 308 inf + 1552 455.201 * * [simplify]: Extracting #8: cost 209 inf + 17490 455.208 * * [simplify]: Extracting #9: cost 125 inf + 45402 455.225 * * [simplify]: Extracting #10: cost 32 inf + 93153 455.248 * * [simplify]: Extracting #11: cost 0 inf + 113660 455.286 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 455.286 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 455.287 * * * * [progress]: [ 1390 / 4754 ] simplifiying candidate # 455.288 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 455.288 * * [simplify]: iters left: 6 (48 enodes) 455.301 * * [simplify]: iters left: 5 (250 enodes) 455.370 * * [simplify]: Extracting #0: cost 1 inf + 0 455.371 * * [simplify]: Extracting #1: cost 3 inf + 0 455.371 * * [simplify]: Extracting #2: cost 6 inf + 0 455.371 * * [simplify]: Extracting #3: cost 10 inf + 0 455.371 * * [simplify]: Extracting #4: cost 16 inf + 0 455.371 * * [simplify]: Extracting #5: cost 116 inf + 0 455.371 * * [simplify]: Extracting #6: cost 283 inf + 0 455.373 * * [simplify]: Extracting #7: cost 328 inf + 1638 455.376 * * [simplify]: Extracting #8: cost 223 inf + 18958 455.394 * * [simplify]: Extracting #9: cost 139 inf + 48544 455.423 * * [simplify]: Extracting #10: cost 33 inf + 96603 455.454 * * [simplify]: Extracting #11: cost 6 inf + 112345 455.476 * * [simplify]: Extracting #12: cost 1 inf + 119670 455.511 * * [simplify]: Extracting #13: cost 0 inf + 121375 455.535 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))))) 455.535 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 455.536 * * * * [progress]: [ 1391 / 4754 ] simplifiying candidate # 455.536 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 455.536 * * [simplify]: iters left: 6 (48 enodes) 455.558 * * [simplify]: iters left: 5 (256 enodes) 455.680 * * [simplify]: Extracting #0: cost 1 inf + 0 455.680 * * [simplify]: Extracting #1: cost 3 inf + 0 455.680 * * [simplify]: Extracting #2: cost 6 inf + 0 455.680 * * [simplify]: Extracting #3: cost 10 inf + 0 455.680 * * [simplify]: Extracting #4: cost 16 inf + 0 455.681 * * [simplify]: Extracting #5: cost 115 inf + 0 455.682 * * [simplify]: Extracting #6: cost 300 inf + 0 455.684 * * [simplify]: Extracting #7: cost 331 inf + 2126 455.692 * * [simplify]: Extracting #8: cost 212 inf + 22367 455.713 * * [simplify]: Extracting #9: cost 109 inf + 60197 455.748 * * [simplify]: Extracting #10: cost 15 inf + 105828 455.769 * * [simplify]: Extracting #11: cost 0 inf + 112445 455.806 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 455.806 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 455.807 * * * * [progress]: [ 1392 / 4754 ] simplifiying candidate # 455.807 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 455.808 * * [simplify]: iters left: 6 (48 enodes) 455.836 * * [simplify]: iters left: 5 (252 enodes) 455.925 * * [simplify]: Extracting #0: cost 1 inf + 0 455.925 * * [simplify]: Extracting #1: cost 3 inf + 0 455.925 * * [simplify]: Extracting #2: cost 6 inf + 0 455.925 * * [simplify]: Extracting #3: cost 10 inf + 0 455.926 * * [simplify]: Extracting #4: cost 20 inf + 0 455.926 * * [simplify]: Extracting #5: cost 135 inf + 0 455.927 * * [simplify]: Extracting #6: cost 299 inf + 1 455.930 * * [simplify]: Extracting #7: cost 331 inf + 1639 455.936 * * [simplify]: Extracting #8: cost 232 inf + 16545 455.951 * * [simplify]: Extracting #9: cost 144 inf + 44536 455.980 * * [simplify]: Extracting #10: cost 37 inf + 91447 456.001 * * [simplify]: Extracting #11: cost 4 inf + 111033 456.034 * * [simplify]: Extracting #12: cost 0 inf + 117493 456.057 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 456.057 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 456.058 * * * * [progress]: [ 1393 / 4754 ] simplifiying candidate # 456.058 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 456.058 * * [simplify]: iters left: 6 (48 enodes) 456.075 * * [simplify]: iters left: 5 (252 enodes) 456.159 * * [simplify]: Extracting #0: cost 1 inf + 0 456.159 * * [simplify]: Extracting #1: cost 3 inf + 0 456.159 * * [simplify]: Extracting #2: cost 6 inf + 0 456.159 * * [simplify]: Extracting #3: cost 10 inf + 0 456.159 * * [simplify]: Extracting #4: cost 20 inf + 0 456.159 * * [simplify]: Extracting #5: cost 125 inf + 0 456.160 * * [simplify]: Extracting #6: cost 287 inf + 44 456.161 * * [simplify]: Extracting #7: cost 321 inf + 1965 456.166 * * [simplify]: Extracting #8: cost 173 inf + 30471 456.179 * * [simplify]: Extracting #9: cost 62 inf + 71934 456.210 * * [simplify]: Extracting #10: cost 13 inf + 95052 456.248 * * [simplify]: Extracting #11: cost 0 inf + 107681 456.288 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) 456.288 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 456.288 * * * * [progress]: [ 1394 / 4754 ] simplifiying candidate # 456.289 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 456.289 * * [simplify]: iters left: 6 (48 enodes) 456.302 * * [simplify]: iters left: 5 (252 enodes) 456.401 * * [simplify]: Extracting #0: cost 1 inf + 0 456.401 * * [simplify]: Extracting #1: cost 3 inf + 0 456.401 * * [simplify]: Extracting #2: cost 6 inf + 0 456.401 * * [simplify]: Extracting #3: cost 10 inf + 0 456.401 * * [simplify]: Extracting #4: cost 20 inf + 0 456.402 * * [simplify]: Extracting #5: cost 135 inf + 0 456.402 * * [simplify]: Extracting #6: cost 299 inf + 1 456.404 * * [simplify]: Extracting #7: cost 328 inf + 1965 456.407 * * [simplify]: Extracting #8: cost 233 inf + 15978 456.414 * * [simplify]: Extracting #9: cost 146 inf + 44427 456.430 * * [simplify]: Extracting #10: cost 37 inf + 92167 456.463 * * [simplify]: Extracting #11: cost 4 inf + 111673 456.509 * * [simplify]: Extracting #12: cost 0 inf + 118133 456.552 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 456.552 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 456.553 * * * * [progress]: [ 1395 / 4754 ] simplifiying candidate # 456.554 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 456.554 * * [simplify]: iters left: 6 (48 enodes) 456.579 * * [simplify]: iters left: 5 (252 enodes) 456.695 * * [simplify]: Extracting #0: cost 1 inf + 0 456.695 * * [simplify]: Extracting #1: cost 3 inf + 0 456.695 * * [simplify]: Extracting #2: cost 6 inf + 0 456.695 * * [simplify]: Extracting #3: cost 10 inf + 0 456.695 * * [simplify]: Extracting #4: cost 20 inf + 0 456.696 * * [simplify]: Extracting #5: cost 124 inf + 0 456.697 * * [simplify]: Extracting #6: cost 287 inf + 44 456.699 * * [simplify]: Extracting #7: cost 320 inf + 2167 456.709 * * [simplify]: Extracting #8: cost 171 inf + 30799 456.724 * * [simplify]: Extracting #9: cost 63 inf + 71650 456.744 * * [simplify]: Extracting #10: cost 12 inf + 96477 456.789 * * [simplify]: Extracting #11: cost 0 inf + 107921 456.830 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) 456.830 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 456.831 * * * * [progress]: [ 1396 / 4754 ] simplifiying candidate # 456.832 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 456.832 * * [simplify]: iters left: 6 (49 enodes) 456.848 * * [simplify]: iters left: 5 (246 enodes) 456.927 * * [simplify]: Extracting #0: cost 1 inf + 0 456.927 * * [simplify]: Extracting #1: cost 3 inf + 0 456.927 * * [simplify]: Extracting #2: cost 6 inf + 0 456.927 * * [simplify]: Extracting #3: cost 10 inf + 0 456.927 * * [simplify]: Extracting #4: cost 16 inf + 0 456.928 * * [simplify]: Extracting #5: cost 113 inf + 0 456.929 * * [simplify]: Extracting #6: cost 288 inf + 0 456.931 * * [simplify]: Extracting #7: cost 334 inf + 1477 456.940 * * [simplify]: Extracting #8: cost 209 inf + 24669 456.964 * * [simplify]: Extracting #9: cost 97 inf + 74564 457.005 * * [simplify]: Extracting #10: cost 2 inf + 124960 457.054 * * [simplify]: Extracting #11: cost 0 inf + 128490 457.099 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 457.099 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 457.100 * * * * [progress]: [ 1397 / 4754 ] simplifiying candidate # 457.101 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 457.101 * * [simplify]: iters left: 6 (47 enodes) 457.127 * * [simplify]: iters left: 5 (232 enodes) 457.234 * * [simplify]: Extracting #0: cost 1 inf + 0 457.234 * * [simplify]: Extracting #1: cost 3 inf + 0 457.235 * * [simplify]: Extracting #2: cost 6 inf + 0 457.235 * * [simplify]: Extracting #3: cost 10 inf + 0 457.235 * * [simplify]: Extracting #4: cost 16 inf + 0 457.235 * * [simplify]: Extracting #5: cost 107 inf + 0 457.236 * * [simplify]: Extracting #6: cost 262 inf + 0 457.238 * * [simplify]: Extracting #7: cost 292 inf + 1637 457.244 * * [simplify]: Extracting #8: cost 199 inf + 16726 457.258 * * [simplify]: Extracting #9: cost 120 inf + 45094 457.284 * * [simplify]: Extracting #10: cost 46 inf + 81818 457.323 * * [simplify]: Extracting #11: cost 4 inf + 108614 457.364 * * [simplify]: Extracting #12: cost 0 inf + 114474 457.396 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 457.396 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 457.396 * * * * [progress]: [ 1398 / 4754 ] simplifiying candidate # 457.397 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 457.397 * * [simplify]: iters left: 6 (49 enodes) 457.410 * * [simplify]: iters left: 5 (244 enodes) 457.519 * * [simplify]: Extracting #0: cost 1 inf + 0 457.519 * * [simplify]: Extracting #1: cost 3 inf + 0 457.519 * * [simplify]: Extracting #2: cost 6 inf + 0 457.519 * * [simplify]: Extracting #3: cost 10 inf + 0 457.519 * * [simplify]: Extracting #4: cost 16 inf + 0 457.519 * * [simplify]: Extracting #5: cost 119 inf + 0 457.520 * * [simplify]: Extracting #6: cost 267 inf + 0 457.523 * * [simplify]: Extracting #7: cost 317 inf + 1152 457.527 * * [simplify]: Extracting #8: cost 211 inf + 19599 457.536 * * [simplify]: Extracting #9: cost 121 inf + 53510 457.552 * * [simplify]: Extracting #10: cost 44 inf + 92738 457.581 * * [simplify]: Extracting #11: cost 4 inf + 118845 457.604 * * [simplify]: Extracting #12: cost 0 inf + 123065 457.644 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 457.644 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 457.645 * * * * [progress]: [ 1399 / 4754 ] simplifiying candidate # 457.645 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 457.645 * * [simplify]: iters left: 6 (49 enodes) 457.658 * * [simplify]: iters left: 5 (246 enodes) 457.722 * * [simplify]: Extracting #0: cost 1 inf + 0 457.722 * * [simplify]: Extracting #1: cost 3 inf + 0 457.722 * * [simplify]: Extracting #2: cost 6 inf + 0 457.722 * * [simplify]: Extracting #3: cost 10 inf + 0 457.722 * * [simplify]: Extracting #4: cost 16 inf + 0 457.722 * * [simplify]: Extracting #5: cost 110 inf + 0 457.723 * * [simplify]: Extracting #6: cost 281 inf + 0 457.724 * * [simplify]: Extracting #7: cost 315 inf + 1152 457.727 * * [simplify]: Extracting #8: cost 220 inf + 15199 457.735 * * [simplify]: Extracting #9: cost 121 inf + 49358 457.763 * * [simplify]: Extracting #10: cost 27 inf + 93715 457.801 * * [simplify]: Extracting #11: cost 3 inf + 109276 457.823 * * [simplify]: Extracting #12: cost 0 inf + 113831 457.852 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))))) 457.852 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 457.853 * * * * [progress]: [ 1400 / 4754 ] simplifiying candidate # 457.853 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 457.854 * * [simplify]: iters left: 6 (49 enodes) 457.882 * * [simplify]: iters left: 5 (246 enodes) 457.967 * * [simplify]: Extracting #0: cost 1 inf + 0 457.967 * * [simplify]: Extracting #1: cost 3 inf + 0 457.967 * * [simplify]: Extracting #2: cost 6 inf + 0 457.967 * * [simplify]: Extracting #3: cost 10 inf + 0 457.967 * * [simplify]: Extracting #4: cost 20 inf + 0 457.968 * * [simplify]: Extracting #5: cost 134 inf + 0 457.969 * * [simplify]: Extracting #6: cost 294 inf + 1 457.970 * * [simplify]: Extracting #7: cost 326 inf + 1234 457.975 * * [simplify]: Extracting #8: cost 207 inf + 22992 457.986 * * [simplify]: Extracting #9: cost 136 inf + 47209 458.005 * * [simplify]: Extracting #10: cost 30 inf + 99850 458.045 * * [simplify]: Extracting #11: cost 2 inf + 118471 458.089 * * [simplify]: Extracting #12: cost 0 inf + 121841 458.123 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda1 lambda2)))))) 458.123 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 458.124 * * * * [progress]: [ 1401 / 4754 ] simplifiying candidate # 458.124 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 458.125 * * [simplify]: iters left: 6 (49 enodes) 458.138 * * [simplify]: iters left: 5 (246 enodes) 458.228 * * [simplify]: Extracting #0: cost 1 inf + 0 458.228 * * [simplify]: Extracting #1: cost 3 inf + 0 458.229 * * [simplify]: Extracting #2: cost 6 inf + 0 458.229 * * [simplify]: Extracting #3: cost 10 inf + 0 458.229 * * [simplify]: Extracting #4: cost 20 inf + 0 458.229 * * [simplify]: Extracting #5: cost 126 inf + 0 458.230 * * [simplify]: Extracting #6: cost 282 inf + 86 458.233 * * [simplify]: Extracting #7: cost 302 inf + 3349 458.241 * * [simplify]: Extracting #8: cost 195 inf + 21322 458.250 * * [simplify]: Extracting #9: cost 128 inf + 45285 458.264 * * [simplify]: Extracting #10: cost 38 inf + 86578 458.288 * * [simplify]: Extracting #11: cost 2 inf + 109026 458.329 * * [simplify]: Extracting #12: cost 0 inf + 112636 458.360 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 458.360 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 458.361 * * * * [progress]: [ 1402 / 4754 ] simplifiying candidate # 458.361 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 458.361 * * [simplify]: iters left: 6 (49 enodes) 458.375 * * [simplify]: iters left: 5 (246 enodes) 458.486 * * [simplify]: Extracting #0: cost 1 inf + 0 458.486 * * [simplify]: Extracting #1: cost 3 inf + 0 458.486 * * [simplify]: Extracting #2: cost 6 inf + 0 458.486 * * [simplify]: Extracting #3: cost 10 inf + 0 458.486 * * [simplify]: Extracting #4: cost 20 inf + 0 458.487 * * [simplify]: Extracting #5: cost 134 inf + 0 458.488 * * [simplify]: Extracting #6: cost 294 inf + 1 458.490 * * [simplify]: Extracting #7: cost 324 inf + 1437 458.499 * * [simplify]: Extracting #8: cost 208 inf + 23069 458.515 * * [simplify]: Extracting #9: cost 139 inf + 46755 458.548 * * [simplify]: Extracting #10: cost 31 inf + 98852 458.592 * * [simplify]: Extracting #11: cost 2 inf + 119111 458.635 * * [simplify]: Extracting #12: cost 0 inf + 122481 458.657 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda1 lambda2)))))) 458.657 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 458.659 * * * * [progress]: [ 1403 / 4754 ] simplifiying candidate # 458.659 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 458.660 * * [simplify]: iters left: 6 (49 enodes) 458.687 * * [simplify]: iters left: 5 (246 enodes) 458.777 * * [simplify]: Extracting #0: cost 1 inf + 0 458.777 * * [simplify]: Extracting #1: cost 3 inf + 0 458.777 * * [simplify]: Extracting #2: cost 6 inf + 0 458.777 * * [simplify]: Extracting #3: cost 10 inf + 0 458.777 * * [simplify]: Extracting #4: cost 20 inf + 0 458.777 * * [simplify]: Extracting #5: cost 125 inf + 0 458.778 * * [simplify]: Extracting #6: cost 282 inf + 86 458.779 * * [simplify]: Extracting #7: cost 301 inf + 3391 458.783 * * [simplify]: Extracting #8: cost 193 inf + 22292 458.791 * * [simplify]: Extracting #9: cost 128 inf + 46058 458.805 * * [simplify]: Extracting #10: cost 42 inf + 84158 458.827 * * [simplify]: Extracting #11: cost 4 inf + 107856 458.857 * * [simplify]: Extracting #12: cost 0 inf + 112876 458.892 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 458.892 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 458.893 * * * * [progress]: [ 1404 / 4754 ] simplifiying candidate # 458.893 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 458.893 * * [simplify]: iters left: 6 (49 enodes) 458.907 * * [simplify]: iters left: 5 (247 enodes) 458.984 * * [simplify]: Extracting #0: cost 1 inf + 0 458.985 * * [simplify]: Extracting #1: cost 3 inf + 0 458.985 * * [simplify]: Extracting #2: cost 6 inf + 0 458.985 * * [simplify]: Extracting #3: cost 10 inf + 0 458.985 * * [simplify]: Extracting #4: cost 16 inf + 0 458.985 * * [simplify]: Extracting #5: cost 110 inf + 0 458.985 * * [simplify]: Extracting #6: cost 287 inf + 0 458.986 * * [simplify]: Extracting #7: cost 337 inf + 1229 458.992 * * [simplify]: Extracting #8: cost 209 inf + 23110 459.009 * * [simplify]: Extracting #9: cost 103 inf + 66377 459.028 * * [simplify]: Extracting #10: cost 20 inf + 105819 459.067 * * [simplify]: Extracting #11: cost 5 inf + 112822 459.109 * * [simplify]: Extracting #12: cost 1 inf + 119162 459.154 * * [simplify]: Extracting #13: cost 0 inf + 120987 459.190 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) 459.190 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 459.191 * * * * [progress]: [ 1405 / 4754 ] simplifiying candidate # 459.191 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 459.191 * * [simplify]: iters left: 6 (47 enodes) 459.205 * * [simplify]: iters left: 5 (235 enodes) 459.273 * * [simplify]: Extracting #0: cost 1 inf + 0 459.273 * * [simplify]: Extracting #1: cost 3 inf + 0 459.273 * * [simplify]: Extracting #2: cost 6 inf + 0 459.273 * * [simplify]: Extracting #3: cost 10 inf + 0 459.273 * * [simplify]: Extracting #4: cost 16 inf + 0 459.274 * * [simplify]: Extracting #5: cost 104 inf + 0 459.275 * * [simplify]: Extracting #6: cost 270 inf + 0 459.277 * * [simplify]: Extracting #7: cost 302 inf + 1274 459.287 * * [simplify]: Extracting #8: cost 209 inf + 16044 459.301 * * [simplify]: Extracting #9: cost 131 inf + 42237 459.327 * * [simplify]: Extracting #10: cost 47 inf + 78154 459.364 * * [simplify]: Extracting #11: cost 5 inf + 105869 459.403 * * [simplify]: Extracting #12: cost 1 inf + 110609 459.439 * * [simplify]: Extracting #13: cost 0 inf + 111714 459.476 * * [simplify]: Extracting #14: cost 0 inf + 111634 459.512 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 459.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 459.514 * * * * [progress]: [ 1406 / 4754 ] simplifiying candidate # 459.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 459.515 * * [simplify]: iters left: 6 (49 enodes) 459.538 * * [simplify]: iters left: 5 (245 enodes) 459.623 * * [simplify]: Extracting #0: cost 1 inf + 0 459.624 * * [simplify]: Extracting #1: cost 3 inf + 0 459.624 * * [simplify]: Extracting #2: cost 6 inf + 0 459.624 * * [simplify]: Extracting #3: cost 10 inf + 0 459.624 * * [simplify]: Extracting #4: cost 16 inf + 0 459.624 * * [simplify]: Extracting #5: cost 118 inf + 0 459.625 * * [simplify]: Extracting #6: cost 284 inf + 0 459.627 * * [simplify]: Extracting #7: cost 331 inf + 1069 459.634 * * [simplify]: Extracting #8: cost 229 inf + 17346 459.650 * * [simplify]: Extracting #9: cost 142 inf + 47196 459.684 * * [simplify]: Extracting #10: cost 31 inf + 100297 459.718 * * [simplify]: Extracting #11: cost 3 inf + 118625 459.743 * * [simplify]: Extracting #12: cost 0 inf + 122220 459.772 * * [simplify]: Extracting #13: cost 0 inf + 121580 459.798 * * [simplify]: Extracting #14: cost 0 inf + 121500 459.823 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) 459.823 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 459.823 * * * * [progress]: [ 1407 / 4754 ] simplifiying candidate # 459.824 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 459.824 * * [simplify]: iters left: 6 (49 enodes) 459.838 * * [simplify]: iters left: 5 (247 enodes) 459.907 * * [simplify]: Extracting #0: cost 1 inf + 0 459.907 * * [simplify]: Extracting #1: cost 3 inf + 0 459.907 * * [simplify]: Extracting #2: cost 6 inf + 0 459.907 * * [simplify]: Extracting #3: cost 10 inf + 0 459.907 * * [simplify]: Extracting #4: cost 16 inf + 0 459.907 * * [simplify]: Extracting #5: cost 107 inf + 0 459.908 * * [simplify]: Extracting #6: cost 281 inf + 0 459.909 * * [simplify]: Extracting #7: cost 311 inf + 1883 459.913 * * [simplify]: Extracting #8: cost 203 inf + 19649 459.921 * * [simplify]: Extracting #9: cost 122 inf + 47899 459.937 * * [simplify]: Extracting #10: cost 27 inf + 90127 459.956 * * [simplify]: Extracting #11: cost 2 inf + 105282 459.994 * * [simplify]: Extracting #12: cost 0 inf + 107972 460.016 * * [simplify]: Extracting #13: cost 0 inf + 107492 460.041 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) 460.041 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 460.042 * * * * [progress]: [ 1408 / 4754 ] simplifiying candidate # 460.043 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 460.043 * * [simplify]: iters left: 6 (49 enodes) 460.057 * * [simplify]: iters left: 5 (247 enodes) 460.155 * * [simplify]: Extracting #0: cost 1 inf + 0 460.155 * * [simplify]: Extracting #1: cost 3 inf + 0 460.155 * * [simplify]: Extracting #2: cost 6 inf + 0 460.155 * * [simplify]: Extracting #3: cost 10 inf + 0 460.155 * * [simplify]: Extracting #4: cost 20 inf + 0 460.156 * * [simplify]: Extracting #5: cost 131 inf + 0 460.157 * * [simplify]: Extracting #6: cost 293 inf + 1 460.159 * * [simplify]: Extracting #7: cost 328 inf + 1269 460.165 * * [simplify]: Extracting #8: cost 186 inf + 30290 460.182 * * [simplify]: Extracting #9: cost 63 inf + 80731 460.207 * * [simplify]: Extracting #10: cost 11 inf + 109665 460.229 * * [simplify]: Extracting #11: cost 0 inf + 115258 460.267 * * [simplify]: Extracting #12: cost 0 inf + 114578 460.308 * * [simplify]: Extracting #13: cost 0 inf + 114498 460.341 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 460.341 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 460.341 * * * * [progress]: [ 1409 / 4754 ] simplifiying candidate # 460.342 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 460.342 * * [simplify]: iters left: 6 (49 enodes) 460.355 * * [simplify]: iters left: 5 (247 enodes) 460.434 * * [simplify]: Extracting #0: cost 1 inf + 0 460.434 * * [simplify]: Extracting #1: cost 3 inf + 0 460.434 * * [simplify]: Extracting #2: cost 6 inf + 0 460.434 * * [simplify]: Extracting #3: cost 10 inf + 0 460.434 * * [simplify]: Extracting #4: cost 20 inf + 0 460.434 * * [simplify]: Extracting #5: cost 123 inf + 0 460.435 * * [simplify]: Extracting #6: cost 282 inf + 86 460.436 * * [simplify]: Extracting #7: cost 303 inf + 3269 460.441 * * [simplify]: Extracting #8: cost 164 inf + 28035 460.451 * * [simplify]: Extracting #9: cost 81 inf + 61884 460.483 * * [simplify]: Extracting #10: cost 11 inf + 98261 460.521 * * [simplify]: Extracting #11: cost 0 inf + 106657 460.553 * * [simplify]: Extracting #12: cost 0 inf + 106577 460.573 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 460.573 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 460.574 * * * * [progress]: [ 1410 / 4754 ] simplifiying candidate # 460.574 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 460.575 * * [simplify]: iters left: 6 (49 enodes) 460.602 * * [simplify]: iters left: 5 (247 enodes) 460.688 * * [simplify]: Extracting #0: cost 1 inf + 0 460.689 * * [simplify]: Extracting #1: cost 3 inf + 0 460.689 * * [simplify]: Extracting #2: cost 6 inf + 0 460.689 * * [simplify]: Extracting #3: cost 10 inf + 0 460.689 * * [simplify]: Extracting #4: cost 20 inf + 0 460.689 * * [simplify]: Extracting #5: cost 131 inf + 0 460.691 * * [simplify]: Extracting #6: cost 293 inf + 1 460.693 * * [simplify]: Extracting #7: cost 328 inf + 1269 460.703 * * [simplify]: Extracting #8: cost 186 inf + 30692 460.733 * * [simplify]: Extracting #9: cost 63 inf + 81371 460.754 * * [simplify]: Extracting #10: cost 11 inf + 110305 460.794 * * [simplify]: Extracting #11: cost 0 inf + 115898 460.836 * * [simplify]: Extracting #12: cost 0 inf + 115218 460.864 * * [simplify]: Extracting #13: cost 0 inf + 115138 460.885 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 460.885 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 460.886 * * * * [progress]: [ 1411 / 4754 ] simplifiying candidate # 460.886 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 460.887 * * [simplify]: iters left: 6 (49 enodes) 460.901 * * [simplify]: iters left: 5 (247 enodes) 460.966 * * [simplify]: Extracting #0: cost 1 inf + 0 460.966 * * [simplify]: Extracting #1: cost 3 inf + 0 460.966 * * [simplify]: Extracting #2: cost 6 inf + 0 460.966 * * [simplify]: Extracting #3: cost 10 inf + 0 460.966 * * [simplify]: Extracting #4: cost 20 inf + 0 460.966 * * [simplify]: Extracting #5: cost 122 inf + 0 460.967 * * [simplify]: Extracting #6: cost 282 inf + 86 460.968 * * [simplify]: Extracting #7: cost 301 inf + 3716 460.973 * * [simplify]: Extracting #8: cost 163 inf + 28418 460.992 * * [simplify]: Extracting #9: cost 80 inf + 62446 461.012 * * [simplify]: Extracting #10: cost 10 inf + 100206 461.031 * * [simplify]: Extracting #11: cost 0 inf + 106897 461.070 * * [simplify]: Extracting #12: cost 0 inf + 106817 461.109 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 461.109 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 461.110 * * * * [progress]: [ 1412 / 4754 ] simplifiying candidate # 461.111 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 461.111 * * [simplify]: iters left: 6 (49 enodes) 461.135 * * [simplify]: iters left: 5 (247 enodes) 461.209 * * [simplify]: Extracting #0: cost 1 inf + 0 461.209 * * [simplify]: Extracting #1: cost 3 inf + 0 461.209 * * [simplify]: Extracting #2: cost 6 inf + 0 461.209 * * [simplify]: Extracting #3: cost 10 inf + 0 461.209 * * [simplify]: Extracting #4: cost 16 inf + 0 461.209 * * [simplify]: Extracting #5: cost 114 inf + 0 461.210 * * [simplify]: Extracting #6: cost 293 inf + 0 461.213 * * [simplify]: Extracting #7: cost 341 inf + 1594 461.218 * * [simplify]: Extracting #8: cost 218 inf + 24872 461.231 * * [simplify]: Extracting #9: cost 111 inf + 63173 461.267 * * [simplify]: Extracting #10: cost 19 inf + 111873 461.291 * * [simplify]: Extracting #11: cost 1 inf + 126370 461.319 * * [simplify]: Extracting #12: cost 0 inf + 127835 461.347 * * [simplify]: Extracting #13: cost 0 inf + 127715 461.370 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))))) 461.371 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 461.371 * * * * [progress]: [ 1413 / 4754 ] simplifiying candidate # 461.371 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 461.372 * * [simplify]: iters left: 6 (47 enodes) 461.384 * * [simplify]: iters left: 5 (234 enodes) 461.440 * * [simplify]: Extracting #0: cost 1 inf + 0 461.440 * * [simplify]: Extracting #1: cost 3 inf + 0 461.440 * * [simplify]: Extracting #2: cost 6 inf + 0 461.440 * * [simplify]: Extracting #3: cost 10 inf + 0 461.440 * * [simplify]: Extracting #4: cost 16 inf + 0 461.441 * * [simplify]: Extracting #5: cost 109 inf + 0 461.441 * * [simplify]: Extracting #6: cost 275 inf + 0 461.442 * * [simplify]: Extracting #7: cost 303 inf + 2202 461.445 * * [simplify]: Extracting #8: cost 220 inf + 14016 461.452 * * [simplify]: Extracting #9: cost 132 inf + 47040 461.469 * * [simplify]: Extracting #10: cost 28 inf + 96953 461.513 * * [simplify]: Extracting #11: cost 1 inf + 117133 461.534 * * [simplify]: Extracting #12: cost 0 inf + 118878 461.566 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) 461.567 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 461.567 * * * * [progress]: [ 1414 / 4754 ] simplifiying candidate # 461.568 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 461.568 * * [simplify]: iters left: 6 (49 enodes) 461.584 * * [simplify]: iters left: 5 (245 enodes) 461.679 * * [simplify]: Extracting #0: cost 1 inf + 0 461.679 * * [simplify]: Extracting #1: cost 3 inf + 0 461.679 * * [simplify]: Extracting #2: cost 6 inf + 0 461.679 * * [simplify]: Extracting #3: cost 10 inf + 0 461.679 * * [simplify]: Extracting #4: cost 16 inf + 0 461.680 * * [simplify]: Extracting #5: cost 123 inf + 0 461.681 * * [simplify]: Extracting #6: cost 289 inf + 0 461.683 * * [simplify]: Extracting #7: cost 337 inf + 987 461.690 * * [simplify]: Extracting #8: cost 231 inf + 18464 461.707 * * [simplify]: Extracting #9: cost 148 inf + 47940 461.728 * * [simplify]: Extracting #10: cost 50 inf + 93463 461.766 * * [simplify]: Extracting #11: cost 3 inf + 123730 461.794 * * [simplify]: Extracting #12: cost 0 inf + 128405 461.839 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 461.840 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 461.841 * * * * [progress]: [ 1415 / 4754 ] simplifiying candidate # 461.841 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 461.842 * * [simplify]: iters left: 6 (49 enodes) 461.862 * * [simplify]: iters left: 5 (247 enodes) 461.935 * * [simplify]: Extracting #0: cost 1 inf + 0 461.935 * * [simplify]: Extracting #1: cost 3 inf + 0 461.935 * * [simplify]: Extracting #2: cost 6 inf + 0 461.935 * * [simplify]: Extracting #3: cost 10 inf + 0 461.935 * * [simplify]: Extracting #4: cost 16 inf + 0 461.935 * * [simplify]: Extracting #5: cost 111 inf + 0 461.937 * * [simplify]: Extracting #6: cost 285 inf + 0 461.939 * * [simplify]: Extracting #7: cost 318 inf + 1353 461.946 * * [simplify]: Extracting #8: cost 210 inf + 20802 461.967 * * [simplify]: Extracting #9: cost 122 inf + 50632 461.999 * * [simplify]: Extracting #10: cost 22 inf + 93774 462.038 * * [simplify]: Extracting #11: cost 2 inf + 109781 462.080 * * [simplify]: Extracting #12: cost 0 inf + 113311 462.115 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) 462.115 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 462.116 * * * * [progress]: [ 1416 / 4754 ] simplifiying candidate # 462.117 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 462.118 * * [simplify]: iters left: 6 (49 enodes) 462.132 * * [simplify]: iters left: 5 (247 enodes) 462.221 * * [simplify]: Extracting #0: cost 1 inf + 0 462.221 * * [simplify]: Extracting #1: cost 3 inf + 0 462.221 * * [simplify]: Extracting #2: cost 6 inf + 0 462.221 * * [simplify]: Extracting #3: cost 10 inf + 0 462.221 * * [simplify]: Extracting #4: cost 20 inf + 0 462.222 * * [simplify]: Extracting #5: cost 135 inf + 0 462.223 * * [simplify]: Extracting #6: cost 299 inf + 1 462.226 * * [simplify]: Extracting #7: cost 327 inf + 2403 462.234 * * [simplify]: Extracting #8: cost 215 inf + 21373 462.254 * * [simplify]: Extracting #9: cost 130 inf + 52024 462.273 * * [simplify]: Extracting #10: cost 23 inf + 104663 462.302 * * [simplify]: Extracting #11: cost 5 inf + 113781 462.327 * * [simplify]: Extracting #12: cost 2 inf + 118416 462.361 * * [simplify]: Extracting #13: cost 0 inf + 121866 462.386 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 462.386 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 462.387 * * * * [progress]: [ 1417 / 4754 ] simplifiying candidate # 462.387 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 462.387 * * [simplify]: iters left: 6 (49 enodes) 462.404 * * [simplify]: iters left: 5 (247 enodes) 462.480 * * [simplify]: Extracting #0: cost 1 inf + 0 462.480 * * [simplify]: Extracting #1: cost 3 inf + 0 462.480 * * [simplify]: Extracting #2: cost 6 inf + 0 462.480 * * [simplify]: Extracting #3: cost 10 inf + 0 462.480 * * [simplify]: Extracting #4: cost 20 inf + 0 462.481 * * [simplify]: Extracting #5: cost 127 inf + 0 462.481 * * [simplify]: Extracting #6: cost 286 inf + 86 462.483 * * [simplify]: Extracting #7: cost 312 inf + 2897 462.487 * * [simplify]: Extracting #8: cost 186 inf + 27285 462.496 * * [simplify]: Extracting #9: cost 120 inf + 49293 462.522 * * [simplify]: Extracting #10: cost 19 inf + 95454 462.550 * * [simplify]: Extracting #11: cost 2 inf + 109706 462.577 * * [simplify]: Extracting #12: cost 0 inf + 112396 462.597 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))))) 462.597 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 462.598 * * * * [progress]: [ 1418 / 4754 ] simplifiying candidate # 462.598 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 462.599 * * [simplify]: iters left: 6 (49 enodes) 462.619 * * [simplify]: iters left: 5 (247 enodes) 462.721 * * [simplify]: Extracting #0: cost 1 inf + 0 462.721 * * [simplify]: Extracting #1: cost 3 inf + 0 462.722 * * [simplify]: Extracting #2: cost 6 inf + 0 462.722 * * [simplify]: Extracting #3: cost 10 inf + 0 462.722 * * [simplify]: Extracting #4: cost 20 inf + 0 462.722 * * [simplify]: Extracting #5: cost 135 inf + 0 462.724 * * [simplify]: Extracting #6: cost 299 inf + 1 462.727 * * [simplify]: Extracting #7: cost 328 inf + 2483 462.736 * * [simplify]: Extracting #8: cost 216 inf + 21448 462.754 * * [simplify]: Extracting #9: cost 123 inf + 54381 462.792 * * [simplify]: Extracting #10: cost 22 inf + 105342 462.814 * * [simplify]: Extracting #11: cost 5 inf + 114421 462.849 * * [simplify]: Extracting #12: cost 2 inf + 119056 462.873 * * [simplify]: Extracting #13: cost 0 inf + 122506 462.904 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 462.904 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 462.905 * * * * [progress]: [ 1419 / 4754 ] simplifiying candidate # 462.905 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 462.906 * * [simplify]: iters left: 6 (49 enodes) 462.933 * * [simplify]: iters left: 5 (247 enodes) 463.022 * * [simplify]: Extracting #0: cost 1 inf + 0 463.022 * * [simplify]: Extracting #1: cost 3 inf + 0 463.022 * * [simplify]: Extracting #2: cost 6 inf + 0 463.022 * * [simplify]: Extracting #3: cost 10 inf + 0 463.022 * * [simplify]: Extracting #4: cost 20 inf + 0 463.023 * * [simplify]: Extracting #5: cost 126 inf + 0 463.024 * * [simplify]: Extracting #6: cost 286 inf + 86 463.026 * * [simplify]: Extracting #7: cost 310 inf + 3221 463.036 * * [simplify]: Extracting #8: cost 185 inf + 27729 463.053 * * [simplify]: Extracting #9: cost 120 inf + 48892 463.069 * * [simplify]: Extracting #10: cost 23 inf + 94169 463.092 * * [simplify]: Extracting #11: cost 2 inf + 110186 463.135 * * [simplify]: Extracting #12: cost 0 inf + 112956 463.177 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))))) 463.177 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 463.178 * * * * [progress]: [ 1420 / 4754 ] simplifiying candidate # 463.179 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 463.179 * * [simplify]: iters left: 6 (49 enodes) 463.205 * * [simplify]: iters left: 5 (247 enodes) 463.322 * * [simplify]: Extracting #0: cost 1 inf + 0 463.323 * * [simplify]: Extracting #1: cost 3 inf + 0 463.323 * * [simplify]: Extracting #2: cost 6 inf + 0 463.323 * * [simplify]: Extracting #3: cost 10 inf + 0 463.323 * * [simplify]: Extracting #4: cost 16 inf + 0 463.323 * * [simplify]: Extracting #5: cost 109 inf + 0 463.324 * * [simplify]: Extracting #6: cost 285 inf + 0 463.325 * * [simplify]: Extracting #7: cost 337 inf + 1028 463.328 * * [simplify]: Extracting #8: cost 224 inf + 19954 463.339 * * [simplify]: Extracting #9: cost 110 inf + 63517 463.362 * * [simplify]: Extracting #10: cost 16 inf + 108599 463.388 * * [simplify]: Extracting #11: cost 1 inf + 119322 463.417 * * [simplify]: Extracting #12: cost 0 inf + 120627 463.440 * * [simplify]: Extracting #13: cost 0 inf + 120547 463.474 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 463.474 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 463.474 * * * * [progress]: [ 1421 / 4754 ] simplifiying candidate # 463.475 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 463.475 * * [simplify]: iters left: 6 (47 enodes) 463.488 * * [simplify]: iters left: 5 (235 enodes) 463.563 * * [simplify]: Extracting #0: cost 1 inf + 0 463.563 * * [simplify]: Extracting #1: cost 3 inf + 0 463.563 * * [simplify]: Extracting #2: cost 6 inf + 0 463.563 * * [simplify]: Extracting #3: cost 10 inf + 0 463.563 * * [simplify]: Extracting #4: cost 16 inf + 0 463.564 * * [simplify]: Extracting #5: cost 102 inf + 0 463.565 * * [simplify]: Extracting #6: cost 267 inf + 0 463.567 * * [simplify]: Extracting #7: cost 295 inf + 2205 463.573 * * [simplify]: Extracting #8: cost 205 inf + 16531 463.580 * * [simplify]: Extracting #9: cost 135 inf + 40999 463.597 * * [simplify]: Extracting #10: cost 40 inf + 81763 463.633 * * [simplify]: Extracting #11: cost 5 inf + 103905 463.657 * * [simplify]: Extracting #12: cost 1 inf + 109445 463.686 * * [simplify]: Extracting #13: cost 0 inf + 111150 463.728 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))))) 463.728 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 463.729 * * * * [progress]: [ 1422 / 4754 ] simplifiying candidate # 463.729 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 463.730 * * [simplify]: iters left: 6 (49 enodes) 463.747 * * [simplify]: iters left: 5 (245 enodes) 463.808 * * [simplify]: Extracting #0: cost 1 inf + 0 463.808 * * [simplify]: Extracting #1: cost 3 inf + 0 463.808 * * [simplify]: Extracting #2: cost 6 inf + 0 463.808 * * [simplify]: Extracting #3: cost 10 inf + 0 463.808 * * [simplify]: Extracting #4: cost 16 inf + 0 463.808 * * [simplify]: Extracting #5: cost 116 inf + 0 463.809 * * [simplify]: Extracting #6: cost 282 inf + 0 463.810 * * [simplify]: Extracting #7: cost 329 inf + 1110 463.813 * * [simplify]: Extracting #8: cost 224 inf + 18599 463.820 * * [simplify]: Extracting #9: cost 156 inf + 39513 463.847 * * [simplify]: Extracting #10: cost 57 inf + 82497 463.875 * * [simplify]: Extracting #11: cost 8 inf + 110281 463.897 * * [simplify]: Extracting #12: cost 2 inf + 117631 463.931 * * [simplify]: Extracting #13: cost 0 inf + 120841 463.954 * * [simplify]: Extracting #14: cost 0 inf + 120761 463.983 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) 463.983 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 463.983 * * * * [progress]: [ 1423 / 4754 ] simplifiying candidate # 463.984 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 463.984 * * [simplify]: iters left: 6 (49 enodes) 463.997 * * [simplify]: iters left: 5 (247 enodes) 464.085 * * [simplify]: Extracting #0: cost 1 inf + 0 464.085 * * [simplify]: Extracting #1: cost 3 inf + 0 464.085 * * [simplify]: Extracting #2: cost 6 inf + 0 464.085 * * [simplify]: Extracting #3: cost 10 inf + 0 464.085 * * [simplify]: Extracting #4: cost 16 inf + 0 464.085 * * [simplify]: Extracting #5: cost 106 inf + 0 464.086 * * [simplify]: Extracting #6: cost 279 inf + 0 464.089 * * [simplify]: Extracting #7: cost 311 inf + 2121 464.096 * * [simplify]: Extracting #8: cost 208 inf + 18718 464.110 * * [simplify]: Extracting #9: cost 137 inf + 40220 464.140 * * [simplify]: Extracting #10: cost 43 inf + 81217 464.161 * * [simplify]: Extracting #11: cost 2 inf + 104442 464.182 * * [simplify]: Extracting #12: cost 0 inf + 107532 464.202 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))))) 464.202 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 464.203 * * * * [progress]: [ 1424 / 4754 ] simplifiying candidate # 464.203 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 464.203 * * [simplify]: iters left: 6 (49 enodes) 464.219 * * [simplify]: iters left: 5 (247 enodes) 464.330 * * [simplify]: Extracting #0: cost 1 inf + 0 464.330 * * [simplify]: Extracting #1: cost 3 inf + 0 464.330 * * [simplify]: Extracting #2: cost 6 inf + 0 464.330 * * [simplify]: Extracting #3: cost 10 inf + 0 464.330 * * [simplify]: Extracting #4: cost 20 inf + 0 464.331 * * [simplify]: Extracting #5: cost 130 inf + 0 464.332 * * [simplify]: Extracting #6: cost 291 inf + 1 464.334 * * [simplify]: Extracting #7: cost 324 inf + 1436 464.344 * * [simplify]: Extracting #8: cost 188 inf + 30472 464.368 * * [simplify]: Extracting #9: cost 49 inf + 88251 464.388 * * [simplify]: Extracting #10: cost 12 inf + 108682 464.421 * * [simplify]: Extracting #11: cost 0 inf + 114698 464.444 * * [simplify]: Extracting #12: cost 0 inf + 114458 464.474 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* lambda1 (* lambda1 lambda1)) (* (- (* lambda2 lambda2)) lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 464.474 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* lambda1 (* lambda1 lambda1)) (* (- (* lambda2 lambda2)) lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 464.476 * * * * [progress]: [ 1425 / 4754 ] simplifiying candidate # 464.476 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 464.477 * * [simplify]: iters left: 6 (49 enodes) 464.503 * * [simplify]: iters left: 5 (247 enodes) 464.578 * * [simplify]: Extracting #0: cost 1 inf + 0 464.578 * * [simplify]: Extracting #1: cost 3 inf + 0 464.578 * * [simplify]: Extracting #2: cost 6 inf + 0 464.578 * * [simplify]: Extracting #3: cost 10 inf + 0 464.578 * * [simplify]: Extracting #4: cost 20 inf + 0 464.579 * * [simplify]: Extracting #5: cost 122 inf + 0 464.580 * * [simplify]: Extracting #6: cost 280 inf + 86 464.582 * * [simplify]: Extracting #7: cost 304 inf + 3025 464.590 * * [simplify]: Extracting #8: cost 193 inf + 20400 464.605 * * [simplify]: Extracting #9: cost 124 inf + 45227 464.628 * * [simplify]: Extracting #10: cost 22 inf + 91293 464.647 * * [simplify]: Extracting #11: cost 2 inf + 105087 464.667 * * [simplify]: Extracting #12: cost 0 inf + 107457 464.692 * * [simplify]: Extracting #13: cost 0 inf + 106937 464.731 * * [simplify]: Extracting #14: cost 0 inf + 106857 464.764 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 464.764 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 464.765 * * * * [progress]: [ 1426 / 4754 ] simplifiying candidate # 464.765 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 464.765 * * [simplify]: iters left: 6 (49 enodes) 464.779 * * [simplify]: iters left: 5 (247 enodes) 464.853 * * [simplify]: Extracting #0: cost 1 inf + 0 464.853 * * [simplify]: Extracting #1: cost 3 inf + 0 464.853 * * [simplify]: Extracting #2: cost 6 inf + 0 464.853 * * [simplify]: Extracting #3: cost 10 inf + 0 464.853 * * [simplify]: Extracting #4: cost 20 inf + 0 464.854 * * [simplify]: Extracting #5: cost 130 inf + 0 464.854 * * [simplify]: Extracting #6: cost 291 inf + 1 464.855 * * [simplify]: Extracting #7: cost 329 inf + 1026 464.861 * * [simplify]: Extracting #8: cost 187 inf + 33378 464.877 * * [simplify]: Extracting #9: cost 48 inf + 89810 464.906 * * [simplify]: Extracting #10: cost 10 inf + 110408 464.943 * * [simplify]: Extracting #11: cost 0 inf + 115338 464.964 * * [simplify]: Extracting #12: cost 0 inf + 115098 464.985 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* lambda1 (* lambda1 lambda1)) (* (- (* lambda2 lambda2)) lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 464.985 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* lambda1 (* lambda1 lambda1)) (* (- (* lambda2 lambda2)) lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 464.986 * * * * [progress]: [ 1427 / 4754 ] simplifiying candidate # 464.986 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 464.987 * * [simplify]: iters left: 6 (49 enodes) 465.001 * * [simplify]: iters left: 5 (247 enodes) 465.087 * * [simplify]: Extracting #0: cost 1 inf + 0 465.087 * * [simplify]: Extracting #1: cost 3 inf + 0 465.087 * * [simplify]: Extracting #2: cost 6 inf + 0 465.087 * * [simplify]: Extracting #3: cost 10 inf + 0 465.087 * * [simplify]: Extracting #4: cost 20 inf + 0 465.087 * * [simplify]: Extracting #5: cost 121 inf + 0 465.088 * * [simplify]: Extracting #6: cost 280 inf + 86 465.093 * * [simplify]: Extracting #7: cost 306 inf + 2944 465.100 * * [simplify]: Extracting #8: cost 191 inf + 21568 465.114 * * [simplify]: Extracting #9: cost 123 inf + 45401 465.143 * * [simplify]: Extracting #10: cost 23 inf + 91321 465.178 * * [simplify]: Extracting #11: cost 2 inf + 105327 465.209 * * [simplify]: Extracting #12: cost 0 inf + 107697 465.230 * * [simplify]: Extracting #13: cost 0 inf + 107177 465.255 * * [simplify]: Extracting #14: cost 0 inf + 107097 465.292 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 465.293 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 465.293 * * * * [progress]: [ 1428 / 4754 ] simplifiying candidate # 465.293 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 465.294 * * [simplify]: iters left: 6 (49 enodes) 465.307 * * [simplify]: iters left: 5 (250 enodes) 465.390 * * [simplify]: Extracting #0: cost 1 inf + 0 465.390 * * [simplify]: Extracting #1: cost 3 inf + 0 465.390 * * [simplify]: Extracting #2: cost 6 inf + 0 465.390 * * [simplify]: Extracting #3: cost 10 inf + 0 465.390 * * [simplify]: Extracting #4: cost 16 inf + 0 465.391 * * [simplify]: Extracting #5: cost 104 inf + 0 465.392 * * [simplify]: Extracting #6: cost 280 inf + 2 465.394 * * [simplify]: Extracting #7: cost 295 inf + 3645 465.401 * * [simplify]: Extracting #8: cost 194 inf + 19627 465.410 * * [simplify]: Extracting #9: cost 115 inf + 44532 465.424 * * [simplify]: Extracting #10: cost 38 inf + 80906 465.452 * * [simplify]: Extracting #11: cost 1 inf + 101795 465.489 * * [simplify]: Extracting #12: cost 0 inf + 103074 465.527 * * [simplify]: Extracting #13: cost 0 inf + 102983 465.561 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 465.561 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 465.562 * * * * [progress]: [ 1429 / 4754 ] simplifiying candidate # 465.562 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 465.562 * * [simplify]: iters left: 6 (49 enodes) 465.576 * * [simplify]: iters left: 5 (248 enodes) 465.646 * * [simplify]: Extracting #0: cost 1 inf + 0 465.647 * * [simplify]: Extracting #1: cost 3 inf + 0 465.647 * * [simplify]: Extracting #2: cost 6 inf + 0 465.647 * * [simplify]: Extracting #3: cost 10 inf + 0 465.647 * * [simplify]: Extracting #4: cost 19 inf + 0 465.647 * * [simplify]: Extracting #5: cost 111 inf + 0 465.647 * * [simplify]: Extracting #6: cost 281 inf + 0 465.649 * * [simplify]: Extracting #7: cost 309 inf + 1400 465.652 * * [simplify]: Extracting #8: cost 192 inf + 20097 465.663 * * [simplify]: Extracting #9: cost 81 inf + 55271 465.678 * * [simplify]: Extracting #10: cost 11 inf + 87526 465.711 * * [simplify]: Extracting #11: cost 2 inf + 97338 465.748 * * [simplify]: Extracting #12: cost 0 inf + 100348 465.784 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))))) 465.784 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 465.785 * * * * [progress]: [ 1430 / 4754 ] simplifiying candidate # 465.785 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 465.786 * * [simplify]: iters left: 6 (48 enodes) 465.809 * * [simplify]: iters left: 5 (255 enodes) 465.876 * * [simplify]: Extracting #0: cost 1 inf + 0 465.877 * * [simplify]: Extracting #1: cost 3 inf + 0 465.877 * * [simplify]: Extracting #2: cost 6 inf + 0 465.877 * * [simplify]: Extracting #3: cost 10 inf + 0 465.877 * * [simplify]: Extracting #4: cost 16 inf + 0 465.877 * * [simplify]: Extracting #5: cost 120 inf + 0 465.878 * * [simplify]: Extracting #6: cost 315 inf + 0 465.885 * * [simplify]: Extracting #7: cost 382 inf + 1429 465.895 * * [simplify]: Extracting #8: cost 221 inf + 41155 465.915 * * [simplify]: Extracting #9: cost 40 inf + 118963 465.951 * * [simplify]: Extracting #10: cost 3 inf + 139204 465.987 * * [simplify]: Extracting #11: cost 0 inf + 139840 466.032 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 466.032 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 466.033 * * * * [progress]: [ 1431 / 4754 ] simplifiying candidate # 466.033 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 466.033 * * [simplify]: iters left: 6 (48 enodes) 466.047 * * [simplify]: iters left: 5 (249 enodes) 466.133 * * [simplify]: Extracting #0: cost 1 inf + 0 466.133 * * [simplify]: Extracting #1: cost 3 inf + 0 466.133 * * [simplify]: Extracting #2: cost 6 inf + 0 466.133 * * [simplify]: Extracting #3: cost 10 inf + 0 466.134 * * [simplify]: Extracting #4: cost 16 inf + 0 466.134 * * [simplify]: Extracting #5: cost 113 inf + 0 466.134 * * [simplify]: Extracting #6: cost 274 inf + 0 466.136 * * [simplify]: Extracting #7: cost 337 inf + 1393 466.140 * * [simplify]: Extracting #8: cost 225 inf + 19230 466.150 * * [simplify]: Extracting #9: cost 114 inf + 66435 466.173 * * [simplify]: Extracting #10: cost 8 inf + 124137 466.209 * * [simplify]: Extracting #11: cost 0 inf + 127454 466.248 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* phi1 phi1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi2 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2)))))))) 466.248 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* phi1 phi1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi2 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 466.249 * * * * [progress]: [ 1432 / 4754 ] simplifiying candidate # 466.249 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 466.250 * * [simplify]: iters left: 6 (46 enodes) 466.262 * * [simplify]: iters left: 5 (237 enodes) 466.336 * * [simplify]: Extracting #0: cost 1 inf + 0 466.336 * * [simplify]: Extracting #1: cost 3 inf + 0 466.336 * * [simplify]: Extracting #2: cost 6 inf + 0 466.336 * * [simplify]: Extracting #3: cost 10 inf + 0 466.336 * * [simplify]: Extracting #4: cost 16 inf + 0 466.336 * * [simplify]: Extracting #5: cost 111 inf + 0 466.337 * * [simplify]: Extracting #6: cost 269 inf + 0 466.338 * * [simplify]: Extracting #7: cost 321 inf + 1308 466.342 * * [simplify]: Extracting #8: cost 202 inf + 21242 466.350 * * [simplify]: Extracting #9: cost 124 inf + 48387 466.365 * * [simplify]: Extracting #10: cost 32 inf + 94691 466.387 * * [simplify]: Extracting #11: cost 0 inf + 114877 466.413 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 466.413 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 466.414 * * * * [progress]: [ 1433 / 4754 ] simplifiying candidate # 466.415 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 466.415 * * [simplify]: iters left: 6 (48 enodes) 466.441 * * [simplify]: iters left: 5 (255 enodes) 466.550 * * [simplify]: Extracting #0: cost 1 inf + 0 466.550 * * [simplify]: Extracting #1: cost 3 inf + 0 466.550 * * [simplify]: Extracting #2: cost 6 inf + 0 466.550 * * [simplify]: Extracting #3: cost 10 inf + 0 466.550 * * [simplify]: Extracting #4: cost 16 inf + 0 466.551 * * [simplify]: Extracting #5: cost 118 inf + 0 466.551 * * [simplify]: Extracting #6: cost 303 inf + 0 466.553 * * [simplify]: Extracting #7: cost 350 inf + 1310 466.559 * * [simplify]: Extracting #8: cost 263 inf + 14972 466.575 * * [simplify]: Extracting #9: cost 85 inf + 77073 466.596 * * [simplify]: Extracting #10: cost 8 inf + 114985 466.629 * * [simplify]: Extracting #11: cost 0 inf + 121985 466.660 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 466.660 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 466.661 * * * * [progress]: [ 1434 / 4754 ] simplifiying candidate # 466.661 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 466.661 * * [simplify]: iters left: 6 (48 enodes) 466.674 * * [simplify]: iters left: 5 (251 enodes) 466.775 * * [simplify]: Extracting #0: cost 1 inf + 0 466.775 * * [simplify]: Extracting #1: cost 3 inf + 0 466.775 * * [simplify]: Extracting #2: cost 6 inf + 0 466.775 * * [simplify]: Extracting #3: cost 10 inf + 0 466.775 * * [simplify]: Extracting #4: cost 20 inf + 0 466.776 * * [simplify]: Extracting #5: cost 138 inf + 0 466.776 * * [simplify]: Extracting #6: cost 307 inf + 1 466.778 * * [simplify]: Extracting #7: cost 342 inf + 2894 466.785 * * [simplify]: Extracting #8: cost 180 inf + 46455 466.808 * * [simplify]: Extracting #9: cost 42 inf + 101641 466.831 * * [simplify]: Extracting #10: cost 3 inf + 122671 466.864 * * [simplify]: Extracting #11: cost 0 inf + 126013 466.890 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 466.890 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 466.890 * * * * [progress]: [ 1435 / 4754 ] simplifiying candidate # 466.891 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 466.891 * * [simplify]: iters left: 6 (48 enodes) 466.904 * * [simplify]: iters left: 5 (251 enodes) 466.986 * * [simplify]: Extracting #0: cost 1 inf + 0 466.986 * * [simplify]: Extracting #1: cost 3 inf + 0 466.986 * * [simplify]: Extracting #2: cost 6 inf + 0 466.986 * * [simplify]: Extracting #3: cost 10 inf + 0 466.986 * * [simplify]: Extracting #4: cost 20 inf + 0 466.986 * * [simplify]: Extracting #5: cost 128 inf + 0 466.987 * * [simplify]: Extracting #6: cost 290 inf + 44 466.988 * * [simplify]: Extracting #7: cost 331 inf + 2047 466.993 * * [simplify]: Extracting #8: cost 182 inf + 31601 467.007 * * [simplify]: Extracting #9: cost 67 inf + 77561 467.037 * * [simplify]: Extracting #10: cost 9 inf + 107292 467.058 * * [simplify]: Extracting #11: cost 1 inf + 112076 467.084 * * [simplify]: Extracting #12: cost 0 inf + 113861 467.116 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 467.116 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 467.117 * * * * [progress]: [ 1436 / 4754 ] simplifiying candidate # 467.118 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 467.119 * * [simplify]: iters left: 6 (48 enodes) 467.146 * * [simplify]: iters left: 5 (251 enodes) 467.221 * * [simplify]: Extracting #0: cost 1 inf + 0 467.221 * * [simplify]: Extracting #1: cost 3 inf + 0 467.221 * * [simplify]: Extracting #2: cost 6 inf + 0 467.221 * * [simplify]: Extracting #3: cost 10 inf + 0 467.221 * * [simplify]: Extracting #4: cost 20 inf + 0 467.221 * * [simplify]: Extracting #5: cost 138 inf + 0 467.222 * * [simplify]: Extracting #6: cost 307 inf + 1 467.223 * * [simplify]: Extracting #7: cost 342 inf + 2894 467.235 * * [simplify]: Extracting #8: cost 182 inf + 45666 467.253 * * [simplify]: Extracting #9: cost 43 inf + 101557 467.284 * * [simplify]: Extracting #10: cost 3 inf + 123351 467.307 * * [simplify]: Extracting #11: cost 0 inf + 126653 467.336 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 467.337 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 467.338 * * * * [progress]: [ 1437 / 4754 ] simplifiying candidate # 467.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 467.340 * * [simplify]: iters left: 6 (48 enodes) 467.360 * * [simplify]: iters left: 5 (251 enodes) 467.467 * * [simplify]: Extracting #0: cost 1 inf + 0 467.467 * * [simplify]: Extracting #1: cost 3 inf + 0 467.467 * * [simplify]: Extracting #2: cost 6 inf + 0 467.467 * * [simplify]: Extracting #3: cost 10 inf + 0 467.467 * * [simplify]: Extracting #4: cost 20 inf + 0 467.468 * * [simplify]: Extracting #5: cost 127 inf + 0 467.468 * * [simplify]: Extracting #6: cost 290 inf + 44 467.469 * * [simplify]: Extracting #7: cost 331 inf + 2047 467.474 * * [simplify]: Extracting #8: cost 183 inf + 31157 467.490 * * [simplify]: Extracting #9: cost 65 inf + 78449 467.517 * * [simplify]: Extracting #10: cost 9 inf + 107532 467.539 * * [simplify]: Extracting #11: cost 1 inf + 112316 467.561 * * [simplify]: Extracting #12: cost 0 inf + 114101 467.586 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 467.586 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 467.587 * * * * [progress]: [ 1438 / 4754 ] simplifiying candidate # 467.587 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 467.587 * * [simplify]: iters left: 6 (48 enodes) 467.600 * * [simplify]: iters left: 5 (247 enodes) 467.673 * * [simplify]: Extracting #0: cost 1 inf + 0 467.673 * * [simplify]: Extracting #1: cost 3 inf + 0 467.673 * * [simplify]: Extracting #2: cost 6 inf + 0 467.674 * * [simplify]: Extracting #3: cost 10 inf + 0 467.674 * * [simplify]: Extracting #4: cost 16 inf + 0 467.674 * * [simplify]: Extracting #5: cost 126 inf + 0 467.674 * * [simplify]: Extracting #6: cost 297 inf + 0 467.676 * * [simplify]: Extracting #7: cost 356 inf + 1832 467.686 * * [simplify]: Extracting #8: cost 204 inf + 40476 467.706 * * [simplify]: Extracting #9: cost 45 inf + 112580 467.745 * * [simplify]: Extracting #10: cost 5 inf + 134105 467.778 * * [simplify]: Extracting #11: cost 0 inf + 136949 467.803 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))))))) 467.803 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 467.804 * * * * [progress]: [ 1439 / 4754 ] simplifiying candidate # 467.804 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 467.805 * * [simplify]: iters left: 6 (48 enodes) 467.819 * * [simplify]: iters left: 5 (242 enodes) 467.898 * * [simplify]: Extracting #0: cost 1 inf + 0 467.898 * * [simplify]: Extracting #1: cost 3 inf + 0 467.898 * * [simplify]: Extracting #2: cost 5 inf + 0 467.898 * * [simplify]: Extracting #3: cost 7 inf + 0 467.898 * * [simplify]: Extracting #4: cost 10 inf + 0 467.898 * * [simplify]: Extracting #5: cost 80 inf + 0 467.899 * * [simplify]: Extracting #6: cost 246 inf + 0 467.901 * * [simplify]: Extracting #7: cost 293 inf + 2239 467.909 * * [simplify]: Extracting #8: cost 179 inf + 25307 467.923 * * [simplify]: Extracting #9: cost 118 inf + 45458 467.940 * * [simplify]: Extracting #10: cost 34 inf + 83510 467.975 * * [simplify]: Extracting #11: cost 1 inf + 106504 468.013 * * [simplify]: Extracting #12: cost 0 inf + 107889 468.042 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 468.042 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 468.043 * * * * [progress]: [ 1440 / 4754 ] simplifiying candidate # 468.044 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 468.044 * * [simplify]: iters left: 6 (46 enodes) 468.057 * * [simplify]: iters left: 5 (233 enodes) 468.124 * * [simplify]: Extracting #0: cost 1 inf + 0 468.124 * * [simplify]: Extracting #1: cost 3 inf + 0 468.125 * * [simplify]: Extracting #2: cost 5 inf + 0 468.125 * * [simplify]: Extracting #3: cost 7 inf + 0 468.125 * * [simplify]: Extracting #4: cost 10 inf + 0 468.125 * * [simplify]: Extracting #5: cost 74 inf + 0 468.126 * * [simplify]: Extracting #6: cost 221 inf + 0 468.128 * * [simplify]: Extracting #7: cost 264 inf + 1593 468.135 * * [simplify]: Extracting #8: cost 152 inf + 20602 468.145 * * [simplify]: Extracting #9: cost 95 inf + 42688 468.163 * * [simplify]: Extracting #10: cost 10 inf + 86104 468.180 * * [simplify]: Extracting #11: cost 0 inf + 91806 468.205 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 468.205 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 468.206 * * * * [progress]: [ 1441 / 4754 ] simplifiying candidate # 468.207 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 468.208 * * [simplify]: iters left: 6 (48 enodes) 468.224 * * [simplify]: iters left: 5 (247 enodes) 468.286 * * [simplify]: Extracting #0: cost 1 inf + 0 468.286 * * [simplify]: Extracting #1: cost 3 inf + 0 468.286 * * [simplify]: Extracting #2: cost 6 inf + 0 468.286 * * [simplify]: Extracting #3: cost 10 inf + 0 468.286 * * [simplify]: Extracting #4: cost 16 inf + 0 468.286 * * [simplify]: Extracting #5: cost 126 inf + 0 468.286 * * [simplify]: Extracting #6: cost 276 inf + 0 468.288 * * [simplify]: Extracting #7: cost 311 inf + 2246 468.296 * * [simplify]: Extracting #8: cost 182 inf + 28165 468.312 * * [simplify]: Extracting #9: cost 43 inf + 90445 468.344 * * [simplify]: Extracting #10: cost 3 inf + 114453 468.366 * * [simplify]: Extracting #11: cost 0 inf + 116702 468.387 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) 468.387 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 468.387 * * * * [progress]: [ 1442 / 4754 ] simplifiying candidate # 468.388 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 468.388 * * [simplify]: iters left: 6 (48 enodes) 468.410 * * [simplify]: iters left: 5 (247 enodes) 468.476 * * [simplify]: Extracting #0: cost 1 inf + 0 468.476 * * [simplify]: Extracting #1: cost 3 inf + 0 468.476 * * [simplify]: Extracting #2: cost 6 inf + 0 468.476 * * [simplify]: Extracting #3: cost 10 inf + 0 468.476 * * [simplify]: Extracting #4: cost 20 inf + 0 468.477 * * [simplify]: Extracting #5: cost 151 inf + 0 468.477 * * [simplify]: Extracting #6: cost 307 inf + 1 468.479 * * [simplify]: Extracting #7: cost 347 inf + 1191 468.485 * * [simplify]: Extracting #8: cost 180 inf + 45497 468.516 * * [simplify]: Extracting #9: cost 38 inf + 107518 468.539 * * [simplify]: Extracting #10: cost 5 inf + 123743 468.574 * * [simplify]: Extracting #11: cost 1 inf + 127617 468.598 * * [simplify]: Extracting #12: cost 0 inf + 129362 468.637 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 468.637 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 468.637 * * * * [progress]: [ 1443 / 4754 ] simplifiying candidate # 468.638 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 468.638 * * [simplify]: iters left: 6 (48 enodes) 468.652 * * [simplify]: iters left: 5 (247 enodes) 468.718 * * [simplify]: Extracting #0: cost 1 inf + 0 468.718 * * [simplify]: Extracting #1: cost 3 inf + 0 468.718 * * [simplify]: Extracting #2: cost 6 inf + 0 468.718 * * [simplify]: Extracting #3: cost 10 inf + 0 468.718 * * [simplify]: Extracting #4: cost 20 inf + 0 468.718 * * [simplify]: Extracting #5: cost 155 inf + 0 468.719 * * [simplify]: Extracting #6: cost 294 inf + 44 468.720 * * [simplify]: Extracting #7: cost 330 inf + 2330 468.725 * * [simplify]: Extracting #8: cost 197 inf + 27208 468.736 * * [simplify]: Extracting #9: cost 102 inf + 63321 468.757 * * [simplify]: Extracting #10: cost 4 inf + 114151 468.782 * * [simplify]: Extracting #11: cost 0 inf + 118571 468.806 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 468.806 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 468.807 * * * * [progress]: [ 1444 / 4754 ] simplifiying candidate # 468.807 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 468.808 * * [simplify]: iters left: 6 (48 enodes) 468.828 * * [simplify]: iters left: 5 (247 enodes) 468.917 * * [simplify]: Extracting #0: cost 1 inf + 0 468.917 * * [simplify]: Extracting #1: cost 3 inf + 0 468.917 * * [simplify]: Extracting #2: cost 6 inf + 0 468.918 * * [simplify]: Extracting #3: cost 10 inf + 0 468.918 * * [simplify]: Extracting #4: cost 20 inf + 0 468.918 * * [simplify]: Extracting #5: cost 152 inf + 0 468.920 * * [simplify]: Extracting #6: cost 307 inf + 1 468.922 * * [simplify]: Extracting #7: cost 346 inf + 1353 468.934 * * [simplify]: Extracting #8: cost 187 inf + 43090 468.954 * * [simplify]: Extracting #9: cost 30 inf + 111971 468.983 * * [simplify]: Extracting #10: cost 7 inf + 124119 469.014 * * [simplify]: Extracting #11: cost 1 inf + 128337 469.056 * * [simplify]: Extracting #12: cost 0 inf + 130042 469.079 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 469.079 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 469.080 * * * * [progress]: [ 1445 / 4754 ] simplifiying candidate # 469.080 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 469.080 * * [simplify]: iters left: 6 (48 enodes) 469.109 * * [simplify]: iters left: 5 (247 enodes) 469.176 * * [simplify]: Extracting #0: cost 1 inf + 0 469.176 * * [simplify]: Extracting #1: cost 3 inf + 0 469.176 * * [simplify]: Extracting #2: cost 6 inf + 0 469.176 * * [simplify]: Extracting #3: cost 10 inf + 0 469.176 * * [simplify]: Extracting #4: cost 20 inf + 0 469.177 * * [simplify]: Extracting #5: cost 154 inf + 0 469.177 * * [simplify]: Extracting #6: cost 292 inf + 44 469.179 * * [simplify]: Extracting #7: cost 324 inf + 2899 469.186 * * [simplify]: Extracting #8: cost 194 inf + 27249 469.196 * * [simplify]: Extracting #9: cost 114 inf + 54928 469.216 * * [simplify]: Extracting #10: cost 46 inf + 86335 469.239 * * [simplify]: Extracting #11: cost 5 inf + 110318 469.264 * * [simplify]: Extracting #12: cost 1 inf + 116578 469.291 * * [simplify]: Extracting #13: cost 0 inf + 118363 469.321 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 469.321 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 469.321 * * * * [progress]: [ 1446 / 4754 ] simplifiying candidate # 469.322 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 469.322 * * [simplify]: iters left: 6 (46 enodes) 469.336 * * [simplify]: iters left: 5 (233 enodes) 469.407 * * [simplify]: Extracting #0: cost 1 inf + 0 469.407 * * [simplify]: Extracting #1: cost 3 inf + 0 469.407 * * [simplify]: Extracting #2: cost 6 inf + 0 469.407 * * [simplify]: Extracting #3: cost 10 inf + 0 469.407 * * [simplify]: Extracting #4: cost 16 inf + 0 469.408 * * [simplify]: Extracting #5: cost 106 inf + 0 469.408 * * [simplify]: Extracting #6: cost 264 inf + 0 469.410 * * [simplify]: Extracting #7: cost 316 inf + 1149 469.414 * * [simplify]: Extracting #8: cost 215 inf + 16400 469.424 * * [simplify]: Extracting #9: cost 120 inf + 52610 469.460 * * [simplify]: Extracting #10: cost 19 inf + 105722 469.490 * * [simplify]: Extracting #11: cost 0 inf + 121984 469.513 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 469.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 469.514 * * * * [progress]: [ 1447 / 4754 ] simplifiying candidate # 469.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 469.514 * * [simplify]: iters left: 6 (46 enodes) 469.529 * * [simplify]: iters left: 5 (229 enodes) 469.594 * * [simplify]: Extracting #0: cost 1 inf + 0 469.594 * * [simplify]: Extracting #1: cost 4 inf + 0 469.594 * * [simplify]: Extracting #2: cost 7 inf + 0 469.594 * * [simplify]: Extracting #3: cost 10 inf + 0 469.595 * * [simplify]: Extracting #4: cost 79 inf + 0 469.595 * * [simplify]: Extracting #5: cost 222 inf + 0 469.596 * * [simplify]: Extracting #6: cost 261 inf + 1637 469.599 * * [simplify]: Extracting #7: cost 168 inf + 18687 469.606 * * [simplify]: Extracting #8: cost 111 inf + 37974 469.619 * * [simplify]: Extracting #9: cost 36 inf + 70803 469.636 * * [simplify]: Extracting #10: cost 7 inf + 88076 469.653 * * [simplify]: Extracting #11: cost 3 inf + 93296 469.678 * * [simplify]: Extracting #12: cost 0 inf + 97291 469.700 * [simplify]: Simplified to (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2))))) 469.700 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 469.700 * * * * [progress]: [ 1448 / 4754 ] simplifiying candidate # 469.701 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 469.701 * * [simplify]: iters left: 6 (40 enodes) 469.718 * * [simplify]: iters left: 5 (198 enodes) 469.777 * * [simplify]: Extracting #0: cost 1 inf + 0 469.777 * * [simplify]: Extracting #1: cost 4 inf + 0 469.777 * * [simplify]: Extracting #2: cost 7 inf + 0 469.777 * * [simplify]: Extracting #3: cost 10 inf + 0 469.777 * * [simplify]: Extracting #4: cost 66 inf + 0 469.778 * * [simplify]: Extracting #5: cost 187 inf + 0 469.778 * * [simplify]: Extracting #6: cost 224 inf + 1068 469.781 * * [simplify]: Extracting #7: cost 127 inf + 17290 469.791 * * [simplify]: Extracting #8: cost 49 inf + 48074 469.814 * * [simplify]: Extracting #9: cost 10 inf + 68365 469.826 * * [simplify]: Extracting #10: cost 2 inf + 72829 469.840 * * [simplify]: Extracting #11: cost 0 inf + 75439 469.854 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 469.854 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 469.854 * * * * [progress]: [ 1449 / 4754 ] simplifiying candidate # 469.855 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 469.855 * * [simplify]: iters left: 6 (46 enodes) 469.871 * * [simplify]: iters left: 5 (231 enodes) 469.938 * * [simplify]: Extracting #0: cost 1 inf + 0 469.938 * * [simplify]: Extracting #1: cost 3 inf + 0 469.938 * * [simplify]: Extracting #2: cost 6 inf + 0 469.938 * * [simplify]: Extracting #3: cost 10 inf + 0 469.938 * * [simplify]: Extracting #4: cost 16 inf + 0 469.938 * * [simplify]: Extracting #5: cost 106 inf + 0 469.939 * * [simplify]: Extracting #6: cost 244 inf + 0 469.940 * * [simplify]: Extracting #7: cost 279 inf + 784 469.942 * * [simplify]: Extracting #8: cost 192 inf + 14422 469.952 * * [simplify]: Extracting #9: cost 102 inf + 46742 469.970 * * [simplify]: Extracting #10: cost 29 inf + 84902 470.006 * * [simplify]: Extracting #11: cost 0 inf + 102520 470.040 * * [simplify]: Extracting #12: cost 0 inf + 102080 470.059 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) 470.059 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 470.060 * * * * [progress]: [ 1450 / 4754 ] simplifiying candidate # 470.060 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 470.060 * * [simplify]: iters left: 6 (46 enodes) 470.082 * * [simplify]: iters left: 5 (233 enodes) 470.148 * * [simplify]: Extracting #0: cost 1 inf + 0 470.148 * * [simplify]: Extracting #1: cost 3 inf + 0 470.148 * * [simplify]: Extracting #2: cost 6 inf + 0 470.148 * * [simplify]: Extracting #3: cost 10 inf + 0 470.148 * * [simplify]: Extracting #4: cost 20 inf + 0 470.148 * * [simplify]: Extracting #5: cost 128 inf + 0 470.149 * * [simplify]: Extracting #6: cost 271 inf + 1 470.150 * * [simplify]: Extracting #7: cost 300 inf + 1315 470.153 * * [simplify]: Extracting #8: cost 201 inf + 17295 470.164 * * [simplify]: Extracting #9: cost 112 inf + 49734 470.198 * * [simplify]: Extracting #10: cost 20 inf + 95106 470.235 * * [simplify]: Extracting #11: cost 3 inf + 109250 470.257 * * [simplify]: Extracting #12: cost 0 inf + 113925 470.280 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 470.280 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 470.281 * * * * [progress]: [ 1451 / 4754 ] simplifiying candidate # 470.281 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 470.281 * * [simplify]: iters left: 6 (46 enodes) 470.295 * * [simplify]: iters left: 5 (232 enodes) 470.389 * * [simplify]: Extracting #0: cost 1 inf + 0 470.389 * * [simplify]: Extracting #1: cost 3 inf + 0 470.389 * * [simplify]: Extracting #2: cost 6 inf + 0 470.389 * * [simplify]: Extracting #3: cost 10 inf + 0 470.389 * * [simplify]: Extracting #4: cost 20 inf + 0 470.389 * * [simplify]: Extracting #5: cost 121 inf + 0 470.389 * * [simplify]: Extracting #6: cost 253 inf + 44 470.390 * * [simplify]: Extracting #7: cost 280 inf + 2170 470.396 * * [simplify]: Extracting #8: cost 168 inf + 22478 470.407 * * [simplify]: Extracting #9: cost 55 inf + 66696 470.425 * * [simplify]: Extracting #10: cost 5 inf + 95850 470.459 * * [simplify]: Extracting #11: cost 0 inf + 100429 470.478 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 470.478 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 470.479 * * * * [progress]: [ 1452 / 4754 ] simplifiying candidate # 470.479 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 470.480 * * [simplify]: iters left: 6 (46 enodes) 470.497 * * [simplify]: iters left: 5 (233 enodes) 470.556 * * [simplify]: Extracting #0: cost 1 inf + 0 470.556 * * [simplify]: Extracting #1: cost 3 inf + 0 470.556 * * [simplify]: Extracting #2: cost 6 inf + 0 470.556 * * [simplify]: Extracting #3: cost 10 inf + 0 470.556 * * [simplify]: Extracting #4: cost 20 inf + 0 470.556 * * [simplify]: Extracting #5: cost 128 inf + 0 470.557 * * [simplify]: Extracting #6: cost 271 inf + 1 470.558 * * [simplify]: Extracting #7: cost 300 inf + 1234 470.561 * * [simplify]: Extracting #8: cost 216 inf + 14897 470.569 * * [simplify]: Extracting #9: cost 120 inf + 48985 470.588 * * [simplify]: Extracting #10: cost 19 inf + 95945 470.613 * * [simplify]: Extracting #11: cost 3 inf + 110050 470.638 * * [simplify]: Extracting #12: cost 0 inf + 114725 470.659 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 470.659 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 470.660 * * * * [progress]: [ 1453 / 4754 ] simplifiying candidate # 470.660 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 470.661 * * [simplify]: iters left: 6 (46 enodes) 470.678 * * [simplify]: iters left: 5 (231 enodes) 470.737 * * [simplify]: Extracting #0: cost 1 inf + 0 470.737 * * [simplify]: Extracting #1: cost 3 inf + 0 470.738 * * [simplify]: Extracting #2: cost 6 inf + 0 470.738 * * [simplify]: Extracting #3: cost 10 inf + 0 470.738 * * [simplify]: Extracting #4: cost 20 inf + 0 470.738 * * [simplify]: Extracting #5: cost 121 inf + 0 470.738 * * [simplify]: Extracting #6: cost 247 inf + 44 470.739 * * [simplify]: Extracting #7: cost 275 inf + 1768 470.743 * * [simplify]: Extracting #8: cost 167 inf + 21389 470.757 * * [simplify]: Extracting #9: cost 51 inf + 67736 470.787 * * [simplify]: Extracting #10: cost 12 inf + 86188 470.804 * * [simplify]: Extracting #11: cost 4 inf + 92709 470.823 * * [simplify]: Extracting #12: cost 0 inf + 98649 470.858 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) 470.858 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 470.859 * * * * [progress]: [ 1454 / 4754 ] simplifiying candidate # 470.860 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 470.860 * * [simplify]: iters left: 6 (48 enodes) 470.879 * * [simplify]: iters left: 5 (256 enodes) 470.970 * * [simplify]: Extracting #0: cost 1 inf + 0 470.970 * * [simplify]: Extracting #1: cost 3 inf + 0 470.970 * * [simplify]: Extracting #2: cost 6 inf + 0 470.970 * * [simplify]: Extracting #3: cost 10 inf + 0 470.970 * * [simplify]: Extracting #4: cost 16 inf + 0 470.970 * * [simplify]: Extracting #5: cost 120 inf + 0 470.971 * * [simplify]: Extracting #6: cost 310 inf + 0 470.972 * * [simplify]: Extracting #7: cost 358 inf + 1836 470.979 * * [simplify]: Extracting #8: cost 186 inf + 46987 471.007 * * [simplify]: Extracting #9: cost 21 inf + 115577 471.034 * * [simplify]: Extracting #10: cost 1 inf + 128148 471.065 * * [simplify]: Extracting #11: cost 0 inf + 128360 471.090 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 471.091 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 471.091 * * * * [progress]: [ 1455 / 4754 ] simplifiying candidate # 471.092 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 471.092 * * [simplify]: iters left: 6 (48 enodes) 471.105 * * [simplify]: iters left: 5 (250 enodes) 471.169 * * [simplify]: Extracting #0: cost 1 inf + 0 471.169 * * [simplify]: Extracting #1: cost 3 inf + 0 471.169 * * [simplify]: Extracting #2: cost 6 inf + 0 471.169 * * [simplify]: Extracting #3: cost 10 inf + 0 471.169 * * [simplify]: Extracting #4: cost 16 inf + 0 471.169 * * [simplify]: Extracting #5: cost 116 inf + 0 471.170 * * [simplify]: Extracting #6: cost 283 inf + 0 471.171 * * [simplify]: Extracting #7: cost 328 inf + 1477 471.183 * * [simplify]: Extracting #8: cost 180 inf + 37696 471.218 * * [simplify]: Extracting #9: cost 47 inf + 98319 471.251 * * [simplify]: Extracting #10: cost 9 inf + 117497 471.285 * * [simplify]: Extracting #11: cost 0 inf + 123815 471.311 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 471.311 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 471.312 * * * * [progress]: [ 1456 / 4754 ] simplifiying candidate # 471.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 471.313 * * [simplify]: iters left: 6 (46 enodes) 471.334 * * [simplify]: iters left: 5 (240 enodes) 471.405 * * [simplify]: Extracting #0: cost 1 inf + 0 471.405 * * [simplify]: Extracting #1: cost 3 inf + 0 471.405 * * [simplify]: Extracting #2: cost 6 inf + 0 471.405 * * [simplify]: Extracting #3: cost 10 inf + 0 471.405 * * [simplify]: Extracting #4: cost 16 inf + 0 471.405 * * [simplify]: Extracting #5: cost 110 inf + 0 471.406 * * [simplify]: Extracting #6: cost 271 inf + 0 471.409 * * [simplify]: Extracting #7: cost 303 inf + 1555 471.412 * * [simplify]: Extracting #8: cost 209 inf + 16318 471.420 * * [simplify]: Extracting #9: cost 123 inf + 44952 471.446 * * [simplify]: Extracting #10: cost 26 inf + 93308 471.471 * * [simplify]: Extracting #11: cost 0 inf + 108932 471.496 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 471.496 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 471.497 * * * * [progress]: [ 1457 / 4754 ] simplifiying candidate # 471.497 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 471.497 * * [simplify]: iters left: 6 (48 enodes) 471.511 * * [simplify]: iters left: 5 (256 enodes) 471.587 * * [simplify]: Extracting #0: cost 1 inf + 0 471.587 * * [simplify]: Extracting #1: cost 3 inf + 0 471.588 * * [simplify]: Extracting #2: cost 6 inf + 0 471.588 * * [simplify]: Extracting #3: cost 10 inf + 0 471.588 * * [simplify]: Extracting #4: cost 16 inf + 0 471.588 * * [simplify]: Extracting #5: cost 118 inf + 0 471.588 * * [simplify]: Extracting #6: cost 297 inf + 0 471.590 * * [simplify]: Extracting #7: cost 326 inf + 1675 471.594 * * [simplify]: Extracting #8: cost 223 inf + 16749 471.609 * * [simplify]: Extracting #9: cost 131 inf + 46185 471.625 * * [simplify]: Extracting #10: cost 27 inf + 90625 471.656 * * [simplify]: Extracting #11: cost 1 inf + 107556 471.677 * * [simplify]: Extracting #12: cost 0 inf + 109221 471.698 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) 471.698 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 471.698 * * * * [progress]: [ 1458 / 4754 ] simplifiying candidate # 471.699 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 471.699 * * [simplify]: iters left: 6 (48 enodes) 471.712 * * [simplify]: iters left: 5 (252 enodes) 472.316 * * [simplify]: Extracting #0: cost 1 inf + 0 472.316 * * [simplify]: Extracting #1: cost 3 inf + 0 472.316 * * [simplify]: Extracting #2: cost 6 inf + 0 472.316 * * [simplify]: Extracting #3: cost 10 inf + 0 472.316 * * [simplify]: Extracting #4: cost 20 inf + 0 472.316 * * [simplify]: Extracting #5: cost 138 inf + 0 472.317 * * [simplify]: Extracting #6: cost 302 inf + 1 472.318 * * [simplify]: Extracting #7: cost 324 inf + 2126 472.325 * * [simplify]: Extracting #8: cost 186 inf + 31929 472.350 * * [simplify]: Extracting #9: cost 70 inf + 75721 472.372 * * [simplify]: Extracting #10: cost 19 inf + 99097 472.392 * * [simplify]: Extracting #11: cost 4 inf + 109313 472.416 * * [simplify]: Extracting #12: cost 0 inf + 115773 472.437 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 472.437 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 472.438 * * * * [progress]: [ 1459 / 4754 ] simplifiying candidate # 472.438 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 472.439 * * [simplify]: iters left: 6 (48 enodes) 472.463 * * [simplify]: iters left: 5 (252 enodes) 472.528 * * [simplify]: Extracting #0: cost 1 inf + 0 472.528 * * [simplify]: Extracting #1: cost 3 inf + 0 472.528 * * [simplify]: Extracting #2: cost 6 inf + 0 472.528 * * [simplify]: Extracting #3: cost 10 inf + 0 472.528 * * [simplify]: Extracting #4: cost 20 inf + 0 472.528 * * [simplify]: Extracting #5: cost 128 inf + 0 472.529 * * [simplify]: Extracting #6: cost 284 inf + 44 472.530 * * [simplify]: Extracting #7: cost 308 inf + 2654 472.536 * * [simplify]: Extracting #8: cost 194 inf + 22042 472.546 * * [simplify]: Extracting #9: cost 114 inf + 47678 472.561 * * [simplify]: Extracting #10: cost 27 inf + 85784 472.587 * * [simplify]: Extracting #11: cost 0 inf + 104097 472.607 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 472.607 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 472.608 * * * * [progress]: [ 1460 / 4754 ] simplifiying candidate # 472.608 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 472.608 * * [simplify]: iters left: 6 (48 enodes) 472.621 * * [simplify]: iters left: 5 (252 enodes) 472.684 * * [simplify]: Extracting #0: cost 1 inf + 0 472.684 * * [simplify]: Extracting #1: cost 3 inf + 0 472.685 * * [simplify]: Extracting #2: cost 6 inf + 0 472.685 * * [simplify]: Extracting #3: cost 10 inf + 0 472.685 * * [simplify]: Extracting #4: cost 20 inf + 0 472.685 * * [simplify]: Extracting #5: cost 138 inf + 0 472.686 * * [simplify]: Extracting #6: cost 302 inf + 1 472.689 * * [simplify]: Extracting #7: cost 324 inf + 2126 472.697 * * [simplify]: Extracting #8: cost 205 inf + 25110 472.718 * * [simplify]: Extracting #9: cost 87 inf + 68718 472.736 * * [simplify]: Extracting #10: cost 21 inf + 97967 472.764 * * [simplify]: Extracting #11: cost 4 inf + 109953 472.786 * * [simplify]: Extracting #12: cost 0 inf + 116413 472.812 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 472.812 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 472.813 * * * * [progress]: [ 1461 / 4754 ] simplifiying candidate # 472.813 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 472.814 * * [simplify]: iters left: 6 (48 enodes) 472.827 * * [simplify]: iters left: 5 (252 enodes) 472.894 * * [simplify]: Extracting #0: cost 1 inf + 0 472.894 * * [simplify]: Extracting #1: cost 3 inf + 0 472.894 * * [simplify]: Extracting #2: cost 6 inf + 0 472.894 * * [simplify]: Extracting #3: cost 10 inf + 0 472.895 * * [simplify]: Extracting #4: cost 20 inf + 0 472.895 * * [simplify]: Extracting #5: cost 127 inf + 0 472.895 * * [simplify]: Extracting #6: cost 284 inf + 44 472.896 * * [simplify]: Extracting #7: cost 309 inf + 2573 472.901 * * [simplify]: Extracting #8: cost 176 inf + 27502 472.913 * * [simplify]: Extracting #9: cost 64 inf + 66633 472.931 * * [simplify]: Extracting #10: cost 19 inf + 89304 472.950 * * [simplify]: Extracting #11: cost 0 inf + 104257 472.971 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 472.971 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 472.972 * * * * [progress]: [ 1462 / 4754 ] simplifiying candidate # 472.972 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 472.972 * * [simplify]: iters left: 6 (49 enodes) 472.986 * * [simplify]: iters left: 5 (246 enodes) 473.047 * * [simplify]: Extracting #0: cost 1 inf + 0 473.047 * * [simplify]: Extracting #1: cost 3 inf + 0 473.047 * * [simplify]: Extracting #2: cost 6 inf + 0 473.047 * * [simplify]: Extracting #3: cost 10 inf + 0 473.047 * * [simplify]: Extracting #4: cost 16 inf + 0 473.047 * * [simplify]: Extracting #5: cost 115 inf + 0 473.048 * * [simplify]: Extracting #6: cost 288 inf + 0 473.049 * * [simplify]: Extracting #7: cost 333 inf + 1637 473.052 * * [simplify]: Extracting #8: cost 231 inf + 17489 473.062 * * [simplify]: Extracting #9: cost 130 inf + 60279 473.081 * * [simplify]: Extracting #10: cost 15 inf + 112115 473.104 * * [simplify]: Extracting #11: cost 2 inf + 124440 473.129 * * [simplify]: Extracting #12: cost 0 inf + 128050 473.153 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 473.153 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 473.153 * * * * [progress]: [ 1463 / 4754 ] simplifiying candidate # 473.154 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 473.154 * * [simplify]: iters left: 6 (49 enodes) 473.168 * * [simplify]: iters left: 5 (244 enodes) 473.228 * * [simplify]: Extracting #0: cost 1 inf + 0 473.228 * * [simplify]: Extracting #1: cost 3 inf + 0 473.228 * * [simplify]: Extracting #2: cost 6 inf + 0 473.228 * * [simplify]: Extracting #3: cost 10 inf + 0 473.228 * * [simplify]: Extracting #4: cost 16 inf + 0 473.228 * * [simplify]: Extracting #5: cost 119 inf + 0 473.229 * * [simplify]: Extracting #6: cost 267 inf + 0 473.230 * * [simplify]: Extracting #7: cost 318 inf + 1030 473.236 * * [simplify]: Extracting #8: cost 179 inf + 34695 473.252 * * [simplify]: Extracting #9: cost 56 inf + 92430 473.274 * * [simplify]: Extracting #10: cost 10 inf + 119615 473.299 * * [simplify]: Extracting #11: cost 0 inf + 126345 473.322 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* phi1 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))))) 473.322 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* phi1 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 473.323 * * * * [progress]: [ 1464 / 4754 ] simplifiying candidate # 473.323 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 473.323 * * [simplify]: iters left: 6 (47 enodes) 473.336 * * [simplify]: iters left: 5 (232 enodes) 473.391 * * [simplify]: Extracting #0: cost 1 inf + 0 473.391 * * [simplify]: Extracting #1: cost 3 inf + 0 473.391 * * [simplify]: Extracting #2: cost 6 inf + 0 473.392 * * [simplify]: Extracting #3: cost 10 inf + 0 473.392 * * [simplify]: Extracting #4: cost 16 inf + 0 473.392 * * [simplify]: Extracting #5: cost 112 inf + 0 473.392 * * [simplify]: Extracting #6: cost 260 inf + 0 473.393 * * [simplify]: Extracting #7: cost 291 inf + 1351 473.397 * * [simplify]: Extracting #8: cost 177 inf + 22620 473.406 * * [simplify]: Extracting #9: cost 98 inf + 51758 473.421 * * [simplify]: Extracting #10: cost 29 inf + 89129 473.440 * * [simplify]: Extracting #11: cost 4 inf + 104206 473.463 * * [simplify]: Extracting #12: cost 1 inf + 108881 473.483 * * [simplify]: Extracting #13: cost 0 inf + 110626 473.503 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 473.503 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ phi1 phi2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 473.504 * * * * [progress]: [ 1465 / 4754 ] simplifiying candidate # 473.504 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 473.504 * * [simplify]: iters left: 6 (49 enodes) 473.518 * * [simplify]: iters left: 5 (246 enodes) 473.579 * * [simplify]: Extracting #0: cost 1 inf + 0 473.579 * * [simplify]: Extracting #1: cost 3 inf + 0 473.579 * * [simplify]: Extracting #2: cost 6 inf + 0 473.579 * * [simplify]: Extracting #3: cost 10 inf + 0 473.579 * * [simplify]: Extracting #4: cost 16 inf + 0 473.580 * * [simplify]: Extracting #5: cost 113 inf + 0 473.580 * * [simplify]: Extracting #6: cost 279 inf + 0 473.581 * * [simplify]: Extracting #7: cost 306 inf + 1156 473.585 * * [simplify]: Extracting #8: cost 212 inf + 16247 473.593 * * [simplify]: Extracting #9: cost 120 inf + 48837 473.613 * * [simplify]: Extracting #10: cost 23 inf + 97182 473.632 * * [simplify]: Extracting #11: cost 2 inf + 110201 473.653 * * [simplify]: Extracting #12: cost 0 inf + 112411 473.674 * * [simplify]: Extracting #13: cost 0 inf + 112211 473.695 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 473.696 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 473.696 * * * * [progress]: [ 1466 / 4754 ] simplifiying candidate # 473.696 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 473.697 * * [simplify]: iters left: 6 (49 enodes) 473.710 * * [simplify]: iters left: 5 (246 enodes) 473.769 * * [simplify]: Extracting #0: cost 1 inf + 0 473.769 * * [simplify]: Extracting #1: cost 3 inf + 0 473.769 * * [simplify]: Extracting #2: cost 6 inf + 0 473.769 * * [simplify]: Extracting #3: cost 10 inf + 0 473.769 * * [simplify]: Extracting #4: cost 20 inf + 0 473.769 * * [simplify]: Extracting #5: cost 137 inf + 0 473.770 * * [simplify]: Extracting #6: cost 296 inf + 1 473.771 * * [simplify]: Extracting #7: cost 322 inf + 1276 473.774 * * [simplify]: Extracting #8: cost 217 inf + 19399 473.782 * * [simplify]: Extracting #9: cost 141 inf + 43865 473.797 * * [simplify]: Extracting #10: cost 36 inf + 94232 473.818 * * [simplify]: Extracting #11: cost 2 inf + 116747 473.840 * * [simplify]: Extracting #12: cost 0 inf + 120197 473.863 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) 473.863 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 473.864 * * * * [progress]: [ 1467 / 4754 ] simplifiying candidate # 473.864 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 473.865 * * [simplify]: iters left: 6 (49 enodes) 473.880 * * [simplify]: iters left: 5 (246 enodes) 473.940 * * [simplify]: Extracting #0: cost 1 inf + 0 473.940 * * [simplify]: Extracting #1: cost 3 inf + 0 473.940 * * [simplify]: Extracting #2: cost 6 inf + 0 473.940 * * [simplify]: Extracting #3: cost 10 inf + 0 473.940 * * [simplify]: Extracting #4: cost 20 inf + 0 473.940 * * [simplify]: Extracting #5: cost 129 inf + 0 473.941 * * [simplify]: Extracting #6: cost 280 inf + 86 473.942 * * [simplify]: Extracting #7: cost 292 inf + 3635 473.947 * * [simplify]: Extracting #8: cost 178 inf + 27843 473.955 * * [simplify]: Extracting #9: cost 118 inf + 47251 473.969 * * [simplify]: Extracting #10: cost 42 inf + 84302 473.988 * * [simplify]: Extracting #11: cost 2 inf + 105686 474.010 * * [simplify]: Extracting #12: cost 0 inf + 109056 474.030 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 474.030 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 474.031 * * * * [progress]: [ 1468 / 4754 ] simplifiying candidate # 474.031 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 474.031 * * [simplify]: iters left: 6 (49 enodes) 474.044 * * [simplify]: iters left: 5 (246 enodes) 474.103 * * [simplify]: Extracting #0: cost 1 inf + 0 474.103 * * [simplify]: Extracting #1: cost 3 inf + 0 474.103 * * [simplify]: Extracting #2: cost 6 inf + 0 474.103 * * [simplify]: Extracting #3: cost 10 inf + 0 474.103 * * [simplify]: Extracting #4: cost 20 inf + 0 474.103 * * [simplify]: Extracting #5: cost 137 inf + 0 474.104 * * [simplify]: Extracting #6: cost 296 inf + 1 474.105 * * [simplify]: Extracting #7: cost 322 inf + 1276 474.109 * * [simplify]: Extracting #8: cost 222 inf + 17539 474.116 * * [simplify]: Extracting #9: cost 146 inf + 43109 474.132 * * [simplify]: Extracting #10: cost 34 inf + 97242 474.153 * * [simplify]: Extracting #11: cost 2 inf + 117387 474.177 * * [simplify]: Extracting #12: cost 0 inf + 120837 474.199 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) 474.199 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 474.200 * * * * [progress]: [ 1469 / 4754 ] simplifiying candidate # 474.200 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 474.201 * * [simplify]: iters left: 6 (49 enodes) 474.214 * * [simplify]: iters left: 5 (246 enodes) 474.273 * * [simplify]: Extracting #0: cost 1 inf + 0 474.273 * * [simplify]: Extracting #1: cost 3 inf + 0 474.273 * * [simplify]: Extracting #2: cost 6 inf + 0 474.273 * * [simplify]: Extracting #3: cost 10 inf + 0 474.273 * * [simplify]: Extracting #4: cost 20 inf + 0 474.274 * * [simplify]: Extracting #5: cost 128 inf + 0 474.274 * * [simplify]: Extracting #6: cost 280 inf + 86 474.276 * * [simplify]: Extracting #7: cost 292 inf + 3592 474.281 * * [simplify]: Extracting #8: cost 173 inf + 29220 474.289 * * [simplify]: Extracting #9: cost 117 inf + 47663 474.303 * * [simplify]: Extracting #10: cost 41 inf + 84061 474.325 * * [simplify]: Extracting #11: cost 2 inf + 106166 474.345 * * [simplify]: Extracting #12: cost 0 inf + 109776 474.366 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 474.366 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 474.367 * * * * [progress]: [ 1470 / 4754 ] simplifiying candidate # 474.367 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 474.368 * * [simplify]: iters left: 6 (49 enodes) 474.381 * * [simplify]: iters left: 5 (247 enodes) 474.444 * * [simplify]: Extracting #0: cost 1 inf + 0 474.444 * * [simplify]: Extracting #1: cost 3 inf + 0 474.444 * * [simplify]: Extracting #2: cost 6 inf + 0 474.444 * * [simplify]: Extracting #3: cost 10 inf + 0 474.444 * * [simplify]: Extracting #4: cost 16 inf + 0 474.445 * * [simplify]: Extracting #5: cost 112 inf + 0 474.445 * * [simplify]: Extracting #6: cost 288 inf + 0 474.447 * * [simplify]: Extracting #7: cost 334 inf + 1595 474.452 * * [simplify]: Extracting #8: cost 231 inf + 17413 474.465 * * [simplify]: Extracting #9: cost 118 inf + 62909 474.488 * * [simplify]: Extracting #10: cost 9 inf + 114018 474.509 * * [simplify]: Extracting #11: cost 1 inf + 119086 474.531 * * [simplify]: Extracting #12: cost 0 inf + 120791 474.554 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))))) 474.554 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 474.554 * * * * [progress]: [ 1471 / 4754 ] simplifiying candidate # 474.555 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 474.555 * * [simplify]: iters left: 6 (49 enodes) 474.570 * * [simplify]: iters left: 5 (245 enodes) 474.628 * * [simplify]: Extracting #0: cost 1 inf + 0 474.628 * * [simplify]: Extracting #1: cost 3 inf + 0 474.628 * * [simplify]: Extracting #2: cost 6 inf + 0 474.628 * * [simplify]: Extracting #3: cost 10 inf + 0 474.628 * * [simplify]: Extracting #4: cost 16 inf + 0 474.629 * * [simplify]: Extracting #5: cost 118 inf + 0 474.629 * * [simplify]: Extracting #6: cost 284 inf + 0 474.630 * * [simplify]: Extracting #7: cost 326 inf + 1677 474.636 * * [simplify]: Extracting #8: cost 224 inf + 19157 474.645 * * [simplify]: Extracting #9: cost 139 inf + 50560 474.662 * * [simplify]: Extracting #10: cost 31 inf + 102364 474.684 * * [simplify]: Extracting #11: cost 3 inf + 120865 474.706 * * [simplify]: Extracting #12: cost 0 inf + 124460 474.730 * * [simplify]: Extracting #13: cost 0 inf + 123940 474.753 * * [simplify]: Extracting #14: cost 0 inf + 123860 474.776 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 474.776 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 474.776 * * * * [progress]: [ 1472 / 4754 ] simplifiying candidate # 474.777 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 474.777 * * [simplify]: iters left: 6 (47 enodes) 474.792 * * [simplify]: iters left: 5 (235 enodes) 474.848 * * [simplify]: Extracting #0: cost 1 inf + 0 474.848 * * [simplify]: Extracting #1: cost 3 inf + 0 474.848 * * [simplify]: Extracting #2: cost 6 inf + 0 474.848 * * [simplify]: Extracting #3: cost 10 inf + 0 474.848 * * [simplify]: Extracting #4: cost 16 inf + 0 474.848 * * [simplify]: Extracting #5: cost 109 inf + 0 474.849 * * [simplify]: Extracting #6: cost 268 inf + 0 474.850 * * [simplify]: Extracting #7: cost 296 inf + 1597 474.853 * * [simplify]: Extracting #8: cost 198 inf + 17300 474.860 * * [simplify]: Extracting #9: cost 143 inf + 36210 474.873 * * [simplify]: Extracting #10: cost 48 inf + 75454 474.893 * * [simplify]: Extracting #11: cost 5 inf + 101261 474.913 * * [simplify]: Extracting #12: cost 1 inf + 106321 474.932 * * [simplify]: Extracting #13: cost 0 inf + 107866 474.952 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 474.952 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 474.953 * * * * [progress]: [ 1473 / 4754 ] simplifiying candidate # 474.953 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 474.953 * * [simplify]: iters left: 6 (49 enodes) 474.968 * * [simplify]: iters left: 5 (247 enodes) 475.026 * * [simplify]: Extracting #0: cost 1 inf + 0 475.026 * * [simplify]: Extracting #1: cost 3 inf + 0 475.026 * * [simplify]: Extracting #2: cost 6 inf + 0 475.026 * * [simplify]: Extracting #3: cost 10 inf + 0 475.026 * * [simplify]: Extracting #4: cost 16 inf + 0 475.026 * * [simplify]: Extracting #5: cost 110 inf + 0 475.027 * * [simplify]: Extracting #6: cost 278 inf + 0 475.028 * * [simplify]: Extracting #7: cost 304 inf + 1599 475.031 * * [simplify]: Extracting #8: cost 209 inf + 16417 475.041 * * [simplify]: Extracting #9: cost 117 inf + 47633 475.056 * * [simplify]: Extracting #10: cost 27 inf + 87326 475.075 * * [simplify]: Extracting #11: cost 3 inf + 102433 475.095 * * [simplify]: Extracting #12: cost 0 inf + 106148 475.116 * * [simplify]: Extracting #13: cost 0 inf + 105788 475.137 * * [simplify]: Extracting #14: cost 0 inf + 105708 475.157 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 475.157 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 475.157 * * * * [progress]: [ 1474 / 4754 ] simplifiying candidate # 475.158 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 475.158 * * [simplify]: iters left: 6 (49 enodes) 475.172 * * [simplify]: iters left: 5 (247 enodes) 475.231 * * [simplify]: Extracting #0: cost 1 inf + 0 475.231 * * [simplify]: Extracting #1: cost 3 inf + 0 475.231 * * [simplify]: Extracting #2: cost 6 inf + 0 475.231 * * [simplify]: Extracting #3: cost 10 inf + 0 475.231 * * [simplify]: Extracting #4: cost 20 inf + 0 475.232 * * [simplify]: Extracting #5: cost 134 inf + 0 475.232 * * [simplify]: Extracting #6: cost 296 inf + 1 475.233 * * [simplify]: Extracting #7: cost 321 inf + 1637 475.236 * * [simplify]: Extracting #8: cost 234 inf + 14435 475.243 * * [simplify]: Extracting #9: cost 149 inf + 41871 475.258 * * [simplify]: Extracting #10: cost 32 inf + 91528 475.281 * * [simplify]: Extracting #11: cost 3 inf + 109703 475.301 * * [simplify]: Extracting #12: cost 0 inf + 113418 475.323 * * [simplify]: Extracting #13: cost 0 inf + 112938 475.343 * * [simplify]: Extracting #14: cost 0 inf + 112858 475.364 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 475.364 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 475.365 * * * * [progress]: [ 1475 / 4754 ] simplifiying candidate # 475.365 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 475.366 * * [simplify]: iters left: 6 (49 enodes) 475.380 * * [simplify]: iters left: 5 (247 enodes) 475.439 * * [simplify]: Extracting #0: cost 1 inf + 0 475.439 * * [simplify]: Extracting #1: cost 3 inf + 0 475.439 * * [simplify]: Extracting #2: cost 6 inf + 0 475.439 * * [simplify]: Extracting #3: cost 10 inf + 0 475.439 * * [simplify]: Extracting #4: cost 20 inf + 0 475.440 * * [simplify]: Extracting #5: cost 126 inf + 0 475.443 * * [simplify]: Extracting #6: cost 279 inf + 86 475.444 * * [simplify]: Extracting #7: cost 287 inf + 4163 475.448 * * [simplify]: Extracting #8: cost 188 inf + 20113 475.456 * * [simplify]: Extracting #9: cost 120 inf + 44724 475.472 * * [simplify]: Extracting #10: cost 17 inf + 91861 475.490 * * [simplify]: Extracting #11: cost 3 inf + 99438 475.509 * * [simplify]: Extracting #12: cost 0 inf + 103473 475.530 * * [simplify]: Extracting #13: cost 0 inf + 103393 475.550 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 475.550 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 475.551 * * * * [progress]: [ 1476 / 4754 ] simplifiying candidate # 475.551 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 475.551 * * [simplify]: iters left: 6 (49 enodes) 475.565 * * [simplify]: iters left: 5 (247 enodes) 475.624 * * [simplify]: Extracting #0: cost 1 inf + 0 475.625 * * [simplify]: Extracting #1: cost 3 inf + 0 475.625 * * [simplify]: Extracting #2: cost 6 inf + 0 475.625 * * [simplify]: Extracting #3: cost 10 inf + 0 475.625 * * [simplify]: Extracting #4: cost 20 inf + 0 475.625 * * [simplify]: Extracting #5: cost 134 inf + 0 475.626 * * [simplify]: Extracting #6: cost 296 inf + 1 475.627 * * [simplify]: Extracting #7: cost 321 inf + 1637 475.630 * * [simplify]: Extracting #8: cost 238 inf + 13901 475.637 * * [simplify]: Extracting #9: cost 151 inf + 42437 475.652 * * [simplify]: Extracting #10: cost 34 inf + 91415 475.672 * * [simplify]: Extracting #11: cost 3 inf + 110343 475.695 * * [simplify]: Extracting #12: cost 0 inf + 114018 475.717 * * [simplify]: Extracting #13: cost 0 inf + 113578 475.737 * * [simplify]: Extracting #14: cost 0 inf + 113498 475.759 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 475.759 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 475.760 * * * * [progress]: [ 1477 / 4754 ] simplifiying candidate # 475.760 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 475.760 * * [simplify]: iters left: 6 (49 enodes) 475.777 * * [simplify]: iters left: 5 (247 enodes) 475.834 * * [simplify]: Extracting #0: cost 1 inf + 0 475.834 * * [simplify]: Extracting #1: cost 3 inf + 0 475.834 * * [simplify]: Extracting #2: cost 6 inf + 0 475.834 * * [simplify]: Extracting #3: cost 10 inf + 0 475.834 * * [simplify]: Extracting #4: cost 20 inf + 0 475.834 * * [simplify]: Extracting #5: cost 125 inf + 0 475.835 * * [simplify]: Extracting #6: cost 279 inf + 86 475.836 * * [simplify]: Extracting #7: cost 288 inf + 3919 475.843 * * [simplify]: Extracting #8: cost 180 inf + 23101 475.851 * * [simplify]: Extracting #9: cost 114 inf + 47235 475.867 * * [simplify]: Extracting #10: cost 17 inf + 92581 475.886 * * [simplify]: Extracting #11: cost 3 inf + 99678 475.905 * * [simplify]: Extracting #12: cost 0 inf + 103553 475.924 * * [simplify]: Extracting #13: cost 0 inf + 103473 475.944 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 475.944 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 475.945 * * * * [progress]: [ 1478 / 4754 ] simplifiying candidate # 475.945 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 475.945 * * [simplify]: iters left: 6 (49 enodes) 475.959 * * [simplify]: iters left: 5 (247 enodes) 476.020 * * [simplify]: Extracting #0: cost 1 inf + 0 476.020 * * [simplify]: Extracting #1: cost 3 inf + 0 476.020 * * [simplify]: Extracting #2: cost 6 inf + 0 476.021 * * [simplify]: Extracting #3: cost 10 inf + 0 476.021 * * [simplify]: Extracting #4: cost 16 inf + 0 476.021 * * [simplify]: Extracting #5: cost 116 inf + 0 476.021 * * [simplify]: Extracting #6: cost 292 inf + 0 476.023 * * [simplify]: Extracting #7: cost 334 inf + 2283 476.026 * * [simplify]: Extracting #8: cost 234 inf + 17246 476.036 * * [simplify]: Extracting #9: cost 122 inf + 62767 476.056 * * [simplify]: Extracting #10: cost 13 inf + 115044 476.080 * * [simplify]: Extracting #11: cost 1 inf + 125305 476.107 * * [simplify]: Extracting #12: cost 0 inf + 127090 476.130 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2)))))))) 476.130 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 476.131 * * * * [progress]: [ 1479 / 4754 ] simplifiying candidate # 476.131 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 476.132 * * [simplify]: iters left: 6 (49 enodes) 476.145 * * [simplify]: iters left: 5 (245 enodes) 476.206 * * [simplify]: Extracting #0: cost 1 inf + 0 476.206 * * [simplify]: Extracting #1: cost 3 inf + 0 476.206 * * [simplify]: Extracting #2: cost 6 inf + 0 476.206 * * [simplify]: Extracting #3: cost 10 inf + 0 476.206 * * [simplify]: Extracting #4: cost 16 inf + 0 476.206 * * [simplify]: Extracting #5: cost 123 inf + 0 476.207 * * [simplify]: Extracting #6: cost 289 inf + 0 476.208 * * [simplify]: Extracting #7: cost 331 inf + 1957 476.212 * * [simplify]: Extracting #8: cost 227 inf + 21401 476.221 * * [simplify]: Extracting #9: cost 143 inf + 52553 476.241 * * [simplify]: Extracting #10: cost 42 inf + 100998 476.264 * * [simplify]: Extracting #11: cost 3 inf + 126890 476.289 * * [simplify]: Extracting #12: cost 0 inf + 131325 476.312 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 476.312 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 476.313 * * * * [progress]: [ 1480 / 4754 ] simplifiying candidate # 476.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 476.314 * * [simplify]: iters left: 6 (47 enodes) 476.327 * * [simplify]: iters left: 5 (234 enodes) 476.384 * * [simplify]: Extracting #0: cost 1 inf + 0 476.384 * * [simplify]: Extracting #1: cost 3 inf + 0 476.384 * * [simplify]: Extracting #2: cost 6 inf + 0 476.384 * * [simplify]: Extracting #3: cost 10 inf + 0 476.385 * * [simplify]: Extracting #4: cost 16 inf + 0 476.385 * * [simplify]: Extracting #5: cost 114 inf + 0 476.385 * * [simplify]: Extracting #6: cost 273 inf + 0 476.387 * * [simplify]: Extracting #7: cost 307 inf + 1226 476.390 * * [simplify]: Extracting #8: cost 231 inf + 12549 476.397 * * [simplify]: Extracting #9: cost 143 inf + 39479 476.415 * * [simplify]: Extracting #10: cost 42 inf + 85691 476.434 * * [simplify]: Extracting #11: cost 5 inf + 106865 476.454 * * [simplify]: Extracting #12: cost 0 inf + 114230 476.475 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) 476.475 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 476.476 * * * * [progress]: [ 1481 / 4754 ] simplifiying candidate # 476.476 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 476.477 * * [simplify]: iters left: 6 (49 enodes) 476.491 * * [simplify]: iters left: 5 (247 enodes) 476.549 * * [simplify]: Extracting #0: cost 1 inf + 0 476.549 * * [simplify]: Extracting #1: cost 3 inf + 0 476.550 * * [simplify]: Extracting #2: cost 6 inf + 0 476.550 * * [simplify]: Extracting #3: cost 10 inf + 0 476.550 * * [simplify]: Extracting #4: cost 16 inf + 0 476.550 * * [simplify]: Extracting #5: cost 114 inf + 0 476.550 * * [simplify]: Extracting #6: cost 284 inf + 0 476.552 * * [simplify]: Extracting #7: cost 313 inf + 1070 476.555 * * [simplify]: Extracting #8: cost 216 inf + 16691 476.565 * * [simplify]: Extracting #9: cost 130 inf + 43952 476.579 * * [simplify]: Extracting #10: cost 39 inf + 86383 476.597 * * [simplify]: Extracting #11: cost 5 inf + 103511 476.617 * * [simplify]: Extracting #12: cost 2 inf + 108026 476.637 * * [simplify]: Extracting #13: cost 0 inf + 111556 476.659 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))))) 476.659 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 476.659 * * * * [progress]: [ 1482 / 4754 ] simplifiying candidate # 476.660 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 476.660 * * [simplify]: iters left: 6 (49 enodes) 476.673 * * [simplify]: iters left: 5 (247 enodes) 476.737 * * [simplify]: Extracting #0: cost 1 inf + 0 476.737 * * [simplify]: Extracting #1: cost 3 inf + 0 476.737 * * [simplify]: Extracting #2: cost 6 inf + 0 476.737 * * [simplify]: Extracting #3: cost 10 inf + 0 476.737 * * [simplify]: Extracting #4: cost 20 inf + 0 476.738 * * [simplify]: Extracting #5: cost 138 inf + 0 476.738 * * [simplify]: Extracting #6: cost 300 inf + 1 476.740 * * [simplify]: Extracting #7: cost 330 inf + 1268 476.743 * * [simplify]: Extracting #8: cost 231 inf + 19449 476.756 * * [simplify]: Extracting #9: cost 72 inf + 81717 476.775 * * [simplify]: Extracting #10: cost 14 inf + 108087 476.797 * * [simplify]: Extracting #11: cost 2 inf + 116107 476.821 * * [simplify]: Extracting #12: cost 0 inf + 119477 476.843 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 476.843 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 476.843 * * * * [progress]: [ 1483 / 4754 ] simplifiying candidate # 476.844 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 476.844 * * [simplify]: iters left: 6 (49 enodes) 476.857 * * [simplify]: iters left: 5 (247 enodes) 476.917 * * [simplify]: Extracting #0: cost 1 inf + 0 476.917 * * [simplify]: Extracting #1: cost 3 inf + 0 476.917 * * [simplify]: Extracting #2: cost 6 inf + 0 476.917 * * [simplify]: Extracting #3: cost 10 inf + 0 476.917 * * [simplify]: Extracting #4: cost 20 inf + 0 476.917 * * [simplify]: Extracting #5: cost 130 inf + 0 476.918 * * [simplify]: Extracting #6: cost 285 inf + 86 476.920 * * [simplify]: Extracting #7: cost 294 inf + 4560 476.924 * * [simplify]: Extracting #8: cost 196 inf + 21353 476.932 * * [simplify]: Extracting #9: cost 119 inf + 49299 476.947 * * [simplify]: Extracting #10: cost 24 inf + 92800 476.969 * * [simplify]: Extracting #11: cost 2 inf + 106911 476.989 * * [simplify]: Extracting #12: cost 0 inf + 109601 477.009 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))))))) 477.009 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 477.009 * * * * [progress]: [ 1484 / 4754 ] simplifiying candidate # 477.010 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 477.010 * * [simplify]: iters left: 6 (49 enodes) 477.024 * * [simplify]: iters left: 5 (247 enodes) 477.083 * * [simplify]: Extracting #0: cost 1 inf + 0 477.084 * * [simplify]: Extracting #1: cost 3 inf + 0 477.084 * * [simplify]: Extracting #2: cost 6 inf + 0 477.084 * * [simplify]: Extracting #3: cost 10 inf + 0 477.084 * * [simplify]: Extracting #4: cost 20 inf + 0 477.084 * * [simplify]: Extracting #5: cost 138 inf + 0 477.085 * * [simplify]: Extracting #6: cost 300 inf + 1 477.086 * * [simplify]: Extracting #7: cost 330 inf + 1268 477.089 * * [simplify]: Extracting #8: cost 232 inf + 18824 477.102 * * [simplify]: Extracting #9: cost 73 inf + 80556 477.124 * * [simplify]: Extracting #10: cost 15 inf + 107675 477.145 * * [simplify]: Extracting #11: cost 3 inf + 115402 477.167 * * [simplify]: Extracting #12: cost 0 inf + 120117 477.189 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 477.189 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 477.189 * * * * [progress]: [ 1485 / 4754 ] simplifiying candidate # 477.190 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 477.190 * * [simplify]: iters left: 6 (49 enodes) 477.204 * * [simplify]: iters left: 5 (247 enodes) 477.261 * * [simplify]: Extracting #0: cost 1 inf + 0 477.261 * * [simplify]: Extracting #1: cost 3 inf + 0 477.262 * * [simplify]: Extracting #2: cost 6 inf + 0 477.262 * * [simplify]: Extracting #3: cost 10 inf + 0 477.262 * * [simplify]: Extracting #4: cost 20 inf + 0 477.262 * * [simplify]: Extracting #5: cost 129 inf + 0 477.263 * * [simplify]: Extracting #6: cost 285 inf + 86 477.264 * * [simplify]: Extracting #7: cost 290 inf + 5329 477.268 * * [simplify]: Extracting #8: cost 186 inf + 25424 477.279 * * [simplify]: Extracting #9: cost 111 inf + 52232 477.295 * * [simplify]: Extracting #10: cost 23 inf + 93760 477.314 * * [simplify]: Extracting #11: cost 3 inf + 105766 477.335 * * [simplify]: Extracting #12: cost 0 inf + 110401 477.356 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* (+ (* phi1 (* phi1 phi1)) (* phi2 (* (- phi2) phi2))) (* phi1 phi1)) (* (+ (* phi1 (* phi1 phi1)) (* phi2 (* (- phi2) phi2))) (* (- phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 477.356 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* (+ (* phi1 (* phi1 phi1)) (* phi2 (* (- phi2) phi2))) (* phi1 phi1)) (* (+ (* phi1 (* phi1 phi1)) (* phi2 (* (- phi2) phi2))) (* (- phi2) phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 477.357 * * * * [progress]: [ 1486 / 4754 ] simplifiying candidate # 477.357 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 477.358 * * [simplify]: iters left: 6 (49 enodes) 477.372 * * [simplify]: iters left: 5 (247 enodes) 477.435 * * [simplify]: Extracting #0: cost 1 inf + 0 477.435 * * [simplify]: Extracting #1: cost 3 inf + 0 477.435 * * [simplify]: Extracting #2: cost 6 inf + 0 477.435 * * [simplify]: Extracting #3: cost 10 inf + 0 477.435 * * [simplify]: Extracting #4: cost 16 inf + 0 477.435 * * [simplify]: Extracting #5: cost 111 inf + 0 477.436 * * [simplify]: Extracting #6: cost 286 inf + 0 477.437 * * [simplify]: Extracting #7: cost 333 inf + 1595 477.441 * * [simplify]: Extracting #8: cost 217 inf + 21651 477.451 * * [simplify]: Extracting #9: cost 116 inf + 59231 477.471 * * [simplify]: Extracting #10: cost 12 inf + 111183 477.493 * * [simplify]: Extracting #11: cost 1 inf + 119166 477.516 * * [simplify]: Extracting #12: cost 0 inf + 120831 477.540 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 477.540 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 477.541 * * * * [progress]: [ 1487 / 4754 ] simplifiying candidate # 477.541 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 477.541 * * [simplify]: iters left: 6 (49 enodes) 477.555 * * [simplify]: iters left: 5 (245 enodes) 477.617 * * [simplify]: Extracting #0: cost 1 inf + 0 477.617 * * [simplify]: Extracting #1: cost 3 inf + 0 477.617 * * [simplify]: Extracting #2: cost 6 inf + 0 477.617 * * [simplify]: Extracting #3: cost 10 inf + 0 477.617 * * [simplify]: Extracting #4: cost 16 inf + 0 477.617 * * [simplify]: Extracting #5: cost 116 inf + 0 477.617 * * [simplify]: Extracting #6: cost 282 inf + 0 477.619 * * [simplify]: Extracting #7: cost 323 inf + 1880 477.623 * * [simplify]: Extracting #8: cost 217 inf + 21700 477.630 * * [simplify]: Extracting #9: cost 143 inf + 46315 477.645 * * [simplify]: Extracting #10: cost 52 inf + 89860 477.667 * * [simplify]: Extracting #11: cost 3 inf + 119406 477.692 * * [simplify]: Extracting #12: cost 0 inf + 123401 477.717 * * [simplify]: Extracting #13: cost 0 inf + 123241 477.740 * * [simplify]: Extracting #14: cost 0 inf + 123161 477.762 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))))) 477.763 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 477.763 * * * * [progress]: [ 1488 / 4754 ] simplifiying candidate # 477.764 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 477.764 * * [simplify]: iters left: 6 (47 enodes) 477.778 * * [simplify]: iters left: 5 (235 enodes) 477.833 * * [simplify]: Extracting #0: cost 1 inf + 0 477.833 * * [simplify]: Extracting #1: cost 3 inf + 0 477.833 * * [simplify]: Extracting #2: cost 6 inf + 0 477.833 * * [simplify]: Extracting #3: cost 10 inf + 0 477.833 * * [simplify]: Extracting #4: cost 16 inf + 0 477.833 * * [simplify]: Extracting #5: cost 107 inf + 0 477.834 * * [simplify]: Extracting #6: cost 265 inf + 0 477.835 * * [simplify]: Extracting #7: cost 297 inf + 1312 477.840 * * [simplify]: Extracting #8: cost 203 inf + 16370 477.847 * * [simplify]: Extracting #9: cost 136 inf + 39342 477.861 * * [simplify]: Extracting #10: cost 27 inf + 89294 477.880 * * [simplify]: Extracting #11: cost 4 inf + 101962 477.900 * * [simplify]: Extracting #12: cost 1 inf + 105677 477.920 * * [simplify]: Extracting #13: cost 0 inf + 107382 477.942 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 477.942 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 477.942 * * * * [progress]: [ 1489 / 4754 ] simplifiying candidate # 477.943 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 477.943 * * [simplify]: iters left: 6 (49 enodes) 477.956 * * [simplify]: iters left: 5 (247 enodes) 478.019 * * [simplify]: Extracting #0: cost 1 inf + 0 478.019 * * [simplify]: Extracting #1: cost 3 inf + 0 478.019 * * [simplify]: Extracting #2: cost 6 inf + 0 478.019 * * [simplify]: Extracting #3: cost 10 inf + 0 478.019 * * [simplify]: Extracting #4: cost 16 inf + 0 478.020 * * [simplify]: Extracting #5: cost 109 inf + 0 478.020 * * [simplify]: Extracting #6: cost 276 inf + 0 478.021 * * [simplify]: Extracting #7: cost 302 inf + 1763 478.024 * * [simplify]: Extracting #8: cost 213 inf + 15930 478.032 * * [simplify]: Extracting #9: cost 122 inf + 46233 478.046 * * [simplify]: Extracting #10: cost 30 inf + 85464 478.064 * * [simplify]: Extracting #11: cost 5 inf + 100743 478.087 * * [simplify]: Extracting #12: cost 0 inf + 105788 478.107 * * [simplify]: Extracting #13: cost 0 inf + 105508 478.126 * * [simplify]: Extracting #14: cost 0 inf + 105428 478.146 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))))) 478.146 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 478.147 * * * * [progress]: [ 1490 / 4754 ] simplifiying candidate # 478.147 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 478.148 * * [simplify]: iters left: 6 (49 enodes) 478.161 * * [simplify]: iters left: 5 (247 enodes) 478.222 * * [simplify]: Extracting #0: cost 1 inf + 0 478.222 * * [simplify]: Extracting #1: cost 3 inf + 0 478.222 * * [simplify]: Extracting #2: cost 6 inf + 0 478.222 * * [simplify]: Extracting #3: cost 10 inf + 0 478.222 * * [simplify]: Extracting #4: cost 20 inf + 0 478.223 * * [simplify]: Extracting #5: cost 133 inf + 0 478.223 * * [simplify]: Extracting #6: cost 294 inf + 1 478.225 * * [simplify]: Extracting #7: cost 318 inf + 1882 478.228 * * [simplify]: Extracting #8: cost 219 inf + 18276 478.236 * * [simplify]: Extracting #9: cost 136 inf + 45352 478.255 * * [simplify]: Extracting #10: cost 34 inf + 89716 478.275 * * [simplify]: Extracting #11: cost 2 inf + 110768 478.301 * * [simplify]: Extracting #12: cost 0 inf + 112938 478.322 * * [simplify]: Extracting #13: cost 0 inf + 112818 478.344 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 478.344 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 478.345 * * * * [progress]: [ 1491 / 4754 ] simplifiying candidate # 478.345 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 478.345 * * [simplify]: iters left: 6 (49 enodes) 478.359 * * [simplify]: iters left: 5 (247 enodes) 478.419 * * [simplify]: Extracting #0: cost 1 inf + 0 478.419 * * [simplify]: Extracting #1: cost 3 inf + 0 478.419 * * [simplify]: Extracting #2: cost 6 inf + 0 478.419 * * [simplify]: Extracting #3: cost 10 inf + 0 478.419 * * [simplify]: Extracting #4: cost 20 inf + 0 478.419 * * [simplify]: Extracting #5: cost 125 inf + 0 478.420 * * [simplify]: Extracting #6: cost 277 inf + 86 478.421 * * [simplify]: Extracting #7: cost 292 inf + 3468 478.425 * * [simplify]: Extracting #8: cost 186 inf + 21930 478.433 * * [simplify]: Extracting #9: cost 114 inf + 46368 478.448 * * [simplify]: Extracting #10: cost 26 inf + 86982 478.466 * * [simplify]: Extracting #11: cost 2 inf + 101423 478.486 * * [simplify]: Extracting #12: cost 0 inf + 103513 478.507 * * [simplify]: Extracting #13: cost 0 inf + 103353 478.526 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 478.526 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 478.526 * * * * [progress]: [ 1492 / 4754 ] simplifiying candidate # 478.527 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 478.527 * * [simplify]: iters left: 6 (49 enodes) 478.540 * * [simplify]: iters left: 5 (247 enodes) 478.601 * * [simplify]: Extracting #0: cost 1 inf + 0 478.601 * * [simplify]: Extracting #1: cost 3 inf + 0 478.601 * * [simplify]: Extracting #2: cost 6 inf + 0 478.601 * * [simplify]: Extracting #3: cost 10 inf + 0 478.601 * * [simplify]: Extracting #4: cost 20 inf + 0 478.601 * * [simplify]: Extracting #5: cost 133 inf + 0 478.602 * * [simplify]: Extracting #6: cost 294 inf + 1 478.603 * * [simplify]: Extracting #7: cost 317 inf + 1924 478.608 * * [simplify]: Extracting #8: cost 218 inf + 19203 478.616 * * [simplify]: Extracting #9: cost 133 inf + 47526 478.632 * * [simplify]: Extracting #10: cost 34 inf + 91504 478.655 * * [simplify]: Extracting #11: cost 3 inf + 109663 478.676 * * [simplify]: Extracting #12: cost 0 inf + 113618 478.697 * * [simplify]: Extracting #13: cost 0 inf + 113458 478.718 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 478.719 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 478.719 * * * * [progress]: [ 1493 / 4754 ] simplifiying candidate # 478.719 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 478.720 * * [simplify]: iters left: 6 (49 enodes) 478.733 * * [simplify]: iters left: 5 (247 enodes) 478.792 * * [simplify]: Extracting #0: cost 1 inf + 0 478.792 * * [simplify]: Extracting #1: cost 3 inf + 0 478.792 * * [simplify]: Extracting #2: cost 6 inf + 0 478.792 * * [simplify]: Extracting #3: cost 10 inf + 0 478.792 * * [simplify]: Extracting #4: cost 20 inf + 0 478.792 * * [simplify]: Extracting #5: cost 124 inf + 0 478.793 * * [simplify]: Extracting #6: cost 277 inf + 86 478.794 * * [simplify]: Extracting #7: cost 289 inf + 3996 478.798 * * [simplify]: Extracting #8: cost 192 inf + 19384 478.809 * * [simplify]: Extracting #9: cost 120 inf + 44150 478.823 * * [simplify]: Extracting #10: cost 28 inf + 86092 478.842 * * [simplify]: Extracting #11: cost 2 inf + 101783 478.861 * * [simplify]: Extracting #12: cost 0 inf + 103913 478.881 * * [simplify]: Extracting #13: cost 0 inf + 103753 478.902 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 478.902 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 478.902 * * * * [progress]: [ 1494 / 4754 ] simplifiying candidate # 478.903 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 478.903 * * [simplify]: iters left: 6 (49 enodes) 478.917 * * [simplify]: iters left: 5 (250 enodes) 478.982 * * [simplify]: Extracting #0: cost 1 inf + 0 478.982 * * [simplify]: Extracting #1: cost 3 inf + 0 478.982 * * [simplify]: Extracting #2: cost 6 inf + 0 478.982 * * [simplify]: Extracting #3: cost 10 inf + 0 478.982 * * [simplify]: Extracting #4: cost 16 inf + 0 478.983 * * [simplify]: Extracting #5: cost 107 inf + 0 478.983 * * [simplify]: Extracting #6: cost 280 inf + 2 478.985 * * [simplify]: Extracting #7: cost 291 inf + 3260 478.989 * * [simplify]: Extracting #8: cost 181 inf + 21182 478.996 * * [simplify]: Extracting #9: cost 111 inf + 46690 479.010 * * [simplify]: Extracting #10: cost 35 inf + 80689 479.028 * * [simplify]: Extracting #11: cost 1 inf + 99343 479.047 * * [simplify]: Extracting #12: cost 0 inf + 100622 479.068 * * [simplify]: Extracting #13: cost 0 inf + 100531 479.088 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) 479.088 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 479.089 * * * * [progress]: [ 1495 / 4754 ] simplifiying candidate # 479.089 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 479.089 * * [simplify]: iters left: 6 (49 enodes) 479.103 * * [simplify]: iters left: 5 (248 enodes) 479.164 * * [simplify]: Extracting #0: cost 1 inf + 0 479.164 * * [simplify]: Extracting #1: cost 3 inf + 0 479.164 * * [simplify]: Extracting #2: cost 6 inf + 0 479.164 * * [simplify]: Extracting #3: cost 10 inf + 0 479.164 * * [simplify]: Extracting #4: cost 19 inf + 0 479.164 * * [simplify]: Extracting #5: cost 114 inf + 0 479.165 * * [simplify]: Extracting #6: cost 281 inf + 0 479.166 * * [simplify]: Extracting #7: cost 294 inf + 2338 479.170 * * [simplify]: Extracting #8: cost 186 inf + 18763 479.178 * * [simplify]: Extracting #9: cost 88 inf + 51861 479.194 * * [simplify]: Extracting #10: cost 12 inf + 89424 479.212 * * [simplify]: Extracting #11: cost 0 inf + 97856 479.233 * * [simplify]: Extracting #12: cost 0 inf + 97496 479.252 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 479.252 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 479.253 * * * * [progress]: [ 1496 / 4754 ] simplifiying candidate # 479.253 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 479.254 * * [simplify]: iters left: 6 (48 enodes) 479.267 * * [simplify]: iters left: 5 (253 enodes) 479.331 * * [simplify]: Extracting #0: cost 1 inf + 0 479.331 * * [simplify]: Extracting #1: cost 3 inf + 0 479.332 * * [simplify]: Extracting #2: cost 6 inf + 0 479.332 * * [simplify]: Extracting #3: cost 10 inf + 0 479.332 * * [simplify]: Extracting #4: cost 16 inf + 0 479.332 * * [simplify]: Extracting #5: cost 114 inf + 0 479.333 * * [simplify]: Extracting #6: cost 295 inf + 0 479.336 * * [simplify]: Extracting #7: cost 349 inf + 1997 479.347 * * [simplify]: Extracting #8: cost 195 inf + 38938 479.373 * * [simplify]: Extracting #9: cost 39 inf + 105123 479.398 * * [simplify]: Extracting #10: cost 3 inf + 123347 479.421 * * [simplify]: Extracting #11: cost 0 inf + 125476 479.444 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 479.444 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 479.445 * * * * [progress]: [ 1497 / 4754 ] simplifiying candidate # 479.445 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 479.446 * * [simplify]: iters left: 6 (48 enodes) 479.458 * * [simplify]: iters left: 5 (251 enodes) 479.519 * * [simplify]: Extracting #0: cost 1 inf + 0 479.519 * * [simplify]: Extracting #1: cost 3 inf + 0 479.519 * * [simplify]: Extracting #2: cost 6 inf + 0 479.519 * * [simplify]: Extracting #3: cost 10 inf + 0 479.519 * * [simplify]: Extracting #4: cost 16 inf + 0 479.519 * * [simplify]: Extracting #5: cost 109 inf + 0 479.520 * * [simplify]: Extracting #6: cost 289 inf + 0 479.521 * * [simplify]: Extracting #7: cost 336 inf + 2846 479.527 * * [simplify]: Extracting #8: cost 181 inf + 33928 479.540 * * [simplify]: Extracting #9: cost 69 inf + 79720 479.566 * * [simplify]: Extracting #10: cost 7 inf + 111811 479.587 * * [simplify]: Extracting #11: cost 1 inf + 117253 479.609 * * [simplify]: Extracting #12: cost 0 inf + 119038 479.631 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 479.631 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 479.632 * * * * [progress]: [ 1498 / 4754 ] simplifiying candidate # 479.632 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 479.633 * * [simplify]: iters left: 6 (48 enodes) 479.646 * * [simplify]: iters left: 5 (251 enodes) 479.709 * * [simplify]: Extracting #0: cost 1 inf + 0 479.709 * * [simplify]: Extracting #1: cost 3 inf + 0 479.709 * * [simplify]: Extracting #2: cost 6 inf + 0 479.709 * * [simplify]: Extracting #3: cost 10 inf + 0 479.709 * * [simplify]: Extracting #4: cost 16 inf + 0 479.710 * * [simplify]: Extracting #5: cost 112 inf + 0 479.710 * * [simplify]: Extracting #6: cost 287 inf + 0 479.711 * * [simplify]: Extracting #7: cost 330 inf + 2283 479.716 * * [simplify]: Extracting #8: cost 194 inf + 29717 479.725 * * [simplify]: Extracting #9: cost 130 inf + 49830 479.741 * * [simplify]: Extracting #10: cost 31 inf + 93684 479.761 * * [simplify]: Extracting #11: cost 2 inf + 112328 479.783 * * [simplify]: Extracting #12: cost 0 inf + 115778 479.806 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 479.806 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 479.807 * * * * [progress]: [ 1499 / 4754 ] simplifiying candidate # 479.807 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 479.807 * * [simplify]: iters left: 6 (40 enodes) 479.818 * * [simplify]: iters left: 5 (205 enodes) 479.868 * * [simplify]: Extracting #0: cost 1 inf + 0 479.868 * * [simplify]: Extracting #1: cost 3 inf + 0 479.868 * * [simplify]: Extracting #2: cost 6 inf + 0 479.868 * * [simplify]: Extracting #3: cost 10 inf + 0 479.868 * * [simplify]: Extracting #4: cost 16 inf + 0 479.869 * * [simplify]: Extracting #5: cost 102 inf + 0 479.869 * * [simplify]: Extracting #6: cost 246 inf + 0 479.870 * * [simplify]: Extracting #7: cost 273 inf + 1878 479.875 * * [simplify]: Extracting #8: cost 155 inf + 27332 479.887 * * [simplify]: Extracting #9: cost 48 inf + 67322 479.903 * * [simplify]: Extracting #10: cost 10 inf + 84405 479.920 * * [simplify]: Extracting #11: cost 5 inf + 87624 479.937 * * [simplify]: Extracting #12: cost 3 inf + 90034 479.956 * * [simplify]: Extracting #13: cost 1 inf + 92844 479.974 * * [simplify]: Extracting #14: cost 0 inf + 94269 479.992 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))))) 479.992 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 479.993 * * * * [progress]: [ 1500 / 4754 ] simplifiying candidate # 479.993 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 479.993 * * [simplify]: iters left: 6 (48 enodes) 480.006 * * [simplify]: iters left: 5 (249 enodes) 480.065 * * [simplify]: Extracting #0: cost 1 inf + 0 480.065 * * [simplify]: Extracting #1: cost 3 inf + 0 480.065 * * [simplify]: Extracting #2: cost 6 inf + 0 480.065 * * [simplify]: Extracting #3: cost 10 inf + 0 480.065 * * [simplify]: Extracting #4: cost 20 inf + 0 480.065 * * [simplify]: Extracting #5: cost 134 inf + 0 480.066 * * [simplify]: Extracting #6: cost 283 inf + 85 480.068 * * [simplify]: Extracting #7: cost 287 inf + 6582 480.073 * * [simplify]: Extracting #8: cost 179 inf + 29369 480.083 * * [simplify]: Extracting #9: cost 109 inf + 55605 480.102 * * [simplify]: Extracting #10: cost 18 inf + 95925 480.121 * * [simplify]: Extracting #11: cost 3 inf + 107898 480.142 * * [simplify]: Extracting #12: cost 0 inf + 112973 480.163 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 480.163 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 480.164 * * * * [progress]: [ 1501 / 4754 ] simplifiying candidate # 480.164 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 480.164 * * [simplify]: iters left: 6 (42 enodes) 480.176 * * [simplify]: iters left: 5 (215 enodes) 480.227 * * [simplify]: Extracting #0: cost 1 inf + 0 480.227 * * [simplify]: Extracting #1: cost 3 inf + 0 480.227 * * [simplify]: Extracting #2: cost 6 inf + 0 480.227 * * [simplify]: Extracting #3: cost 10 inf + 0 480.227 * * [simplify]: Extracting #4: cost 20 inf + 0 480.227 * * [simplify]: Extracting #5: cost 119 inf + 0 480.228 * * [simplify]: Extracting #6: cost 252 inf + 44 480.229 * * [simplify]: Extracting #7: cost 271 inf + 3543 480.235 * * [simplify]: Extracting #8: cost 116 inf + 39751 480.248 * * [simplify]: Extracting #9: cost 30 inf + 75992 480.267 * * [simplify]: Extracting #10: cost 8 inf + 85782 480.285 * * [simplify]: Extracting #11: cost 2 inf + 91066 480.303 * * [simplify]: Extracting #12: cost 0 inf + 93876 480.321 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 480.321 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 480.322 * * * * [progress]: [ 1502 / 4754 ] simplifiying candidate # 480.322 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 480.322 * * [simplify]: iters left: 6 (48 enodes) 480.335 * * [simplify]: iters left: 5 (249 enodes) 480.394 * * [simplify]: Extracting #0: cost 1 inf + 0 480.394 * * [simplify]: Extracting #1: cost 3 inf + 0 480.394 * * [simplify]: Extracting #2: cost 6 inf + 0 480.394 * * [simplify]: Extracting #3: cost 10 inf + 0 480.394 * * [simplify]: Extracting #4: cost 20 inf + 0 480.394 * * [simplify]: Extracting #5: cost 134 inf + 0 480.395 * * [simplify]: Extracting #6: cost 283 inf + 85 480.396 * * [simplify]: Extracting #7: cost 289 inf + 6461 480.402 * * [simplify]: Extracting #8: cost 173 inf + 32027 480.414 * * [simplify]: Extracting #9: cost 107 inf + 57122 480.431 * * [simplify]: Extracting #10: cost 18 inf + 96725 480.450 * * [simplify]: Extracting #11: cost 3 inf + 108698 480.471 * * [simplify]: Extracting #12: cost 0 inf + 113773 480.492 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 480.492 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 480.493 * * * * [progress]: [ 1503 / 4754 ] simplifiying candidate # 480.493 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 480.493 * * [simplify]: iters left: 6 (42 enodes) 480.507 * * [simplify]: iters left: 5 (215 enodes) 480.556 * * [simplify]: Extracting #0: cost 1 inf + 0 480.556 * * [simplify]: Extracting #1: cost 3 inf + 0 480.556 * * [simplify]: Extracting #2: cost 6 inf + 0 480.556 * * [simplify]: Extracting #3: cost 10 inf + 0 480.556 * * [simplify]: Extracting #4: cost 20 inf + 0 480.557 * * [simplify]: Extracting #5: cost 118 inf + 0 480.557 * * [simplify]: Extracting #6: cost 252 inf + 44 480.558 * * [simplify]: Extracting #7: cost 271 inf + 3543 480.565 * * [simplify]: Extracting #8: cost 111 inf + 43198 480.583 * * [simplify]: Extracting #9: cost 17 inf + 84397 480.600 * * [simplify]: Extracting #10: cost 5 inf + 90017 480.618 * * [simplify]: Extracting #11: cost 0 inf + 94436 480.636 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 480.636 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 480.637 * * * * [progress]: [ 1504 / 4754 ] simplifiying candidate # 480.637 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 480.637 * * [simplify]: iters left: 6 (48 enodes) 480.650 * * [simplify]: iters left: 5 (245 enodes) 480.709 * * [simplify]: Extracting #0: cost 1 inf + 0 480.709 * * [simplify]: Extracting #1: cost 3 inf + 0 480.709 * * [simplify]: Extracting #2: cost 6 inf + 0 480.709 * * [simplify]: Extracting #3: cost 10 inf + 0 480.709 * * [simplify]: Extracting #4: cost 16 inf + 0 480.709 * * [simplify]: Extracting #5: cost 121 inf + 0 480.710 * * [simplify]: Extracting #6: cost 278 inf + 0 480.711 * * [simplify]: Extracting #7: cost 324 inf + 1760 480.715 * * [simplify]: Extracting #8: cost 233 inf + 17080 480.726 * * [simplify]: Extracting #9: cost 126 inf + 53877 480.744 * * [simplify]: Extracting #10: cost 32 inf + 96975 480.764 * * [simplify]: Extracting #11: cost 5 inf + 113584 480.786 * * [simplify]: Extracting #12: cost 1 inf + 120084 480.810 * * [simplify]: Extracting #13: cost 0 inf + 121869 480.834 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 480.834 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 480.835 * * * * [progress]: [ 1505 / 4754 ] simplifiying candidate # 480.835 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 480.835 * * [simplify]: iters left: 6 (48 enodes) 480.850 * * [simplify]: iters left: 5 (247 enodes) 480.912 * * [simplify]: Extracting #0: cost 1 inf + 0 480.912 * * [simplify]: Extracting #1: cost 3 inf + 0 480.912 * * [simplify]: Extracting #2: cost 6 inf + 0 480.912 * * [simplify]: Extracting #3: cost 10 inf + 0 480.912 * * [simplify]: Extracting #4: cost 16 inf + 0 480.912 * * [simplify]: Extracting #5: cost 119 inf + 0 480.913 * * [simplify]: Extracting #6: cost 286 inf + 0 480.914 * * [simplify]: Extracting #7: cost 329 inf + 2081 480.917 * * [simplify]: Extracting #8: cost 243 inf + 16842 480.925 * * [simplify]: Extracting #9: cost 135 inf + 47346 480.941 * * [simplify]: Extracting #10: cost 45 inf + 88364 480.961 * * [simplify]: Extracting #11: cost 6 inf + 111501 480.985 * * [simplify]: Extracting #12: cost 1 inf + 118666 481.007 * * [simplify]: Extracting #13: cost 0 inf + 120371 481.029 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) 481.029 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 481.030 * * * * [progress]: [ 1506 / 4754 ] simplifiying candidate # 481.030 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 481.030 * * [simplify]: iters left: 6 (48 enodes) 481.043 * * [simplify]: iters left: 5 (247 enodes) 481.103 * * [simplify]: Extracting #0: cost 1 inf + 0 481.104 * * [simplify]: Extracting #1: cost 3 inf + 0 481.104 * * [simplify]: Extracting #2: cost 6 inf + 0 481.104 * * [simplify]: Extracting #3: cost 10 inf + 0 481.104 * * [simplify]: Extracting #4: cost 16 inf + 0 481.104 * * [simplify]: Extracting #5: cost 125 inf + 0 481.104 * * [simplify]: Extracting #6: cost 279 inf + 0 481.106 * * [simplify]: Extracting #7: cost 315 inf + 2284 481.109 * * [simplify]: Extracting #8: cost 222 inf + 16280 481.116 * * [simplify]: Extracting #9: cost 141 inf + 42080 481.133 * * [simplify]: Extracting #10: cost 44 inf + 85556 481.154 * * [simplify]: Extracting #11: cost 3 inf + 110942 481.176 * * [simplify]: Extracting #12: cost 1 inf + 114392 481.198 * * [simplify]: Extracting #13: cost 0 inf + 116137 481.221 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 481.221 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 481.222 * * * * [progress]: [ 1507 / 4754 ] simplifiying candidate # 481.222 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 481.222 * * [simplify]: iters left: 6 (40 enodes) 481.233 * * [simplify]: iters left: 5 (198 enodes) 481.274 * * [simplify]: Extracting #0: cost 1 inf + 0 481.274 * * [simplify]: Extracting #1: cost 4 inf + 0 481.274 * * [simplify]: Extracting #2: cost 7 inf + 0 481.274 * * [simplify]: Extracting #3: cost 10 inf + 0 481.274 * * [simplify]: Extracting #4: cost 66 inf + 0 481.275 * * [simplify]: Extracting #5: cost 190 inf + 0 481.275 * * [simplify]: Extracting #6: cost 211 inf + 1842 481.278 * * [simplify]: Extracting #7: cost 116 inf + 18348 481.288 * * [simplify]: Extracting #8: cost 68 inf + 38202 481.300 * * [simplify]: Extracting #9: cost 7 inf + 63517 481.312 * * [simplify]: Extracting #10: cost 4 inf + 65952 481.325 * * [simplify]: Extracting #11: cost 0 inf + 70212 481.338 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 481.338 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 481.339 * * * * [progress]: [ 1508 / 4754 ] simplifiying candidate # 481.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 481.339 * * [simplify]: iters left: 6 (48 enodes) 481.352 * * [simplify]: iters left: 5 (245 enodes) 481.412 * * [simplify]: Extracting #0: cost 1 inf + 0 481.412 * * [simplify]: Extracting #1: cost 3 inf + 0 481.412 * * [simplify]: Extracting #2: cost 6 inf + 0 481.412 * * [simplify]: Extracting #3: cost 10 inf + 0 481.412 * * [simplify]: Extracting #4: cost 24 inf + 0 481.412 * * [simplify]: Extracting #5: cost 163 inf + 0 481.413 * * [simplify]: Extracting #6: cost 297 inf + 44 481.414 * * [simplify]: Extracting #7: cost 312 inf + 3470 481.419 * * [simplify]: Extracting #8: cost 210 inf + 24696 481.429 * * [simplify]: Extracting #9: cost 119 inf + 59744 481.452 * * [simplify]: Extracting #10: cost 10 inf + 115622 481.474 * * [simplify]: Extracting #11: cost 1 inf + 123182 481.498 * * [simplify]: Extracting #12: cost 0 inf + 124967 481.522 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 481.522 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 481.523 * * * * [progress]: [ 1509 / 4754 ] simplifiying candidate # 481.523 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 481.524 * * [simplify]: iters left: 6 (42 enodes) 481.535 * * [simplify]: iters left: 5 (211 enodes) 481.584 * * [simplify]: Extracting #0: cost 1 inf + 0 481.584 * * [simplify]: Extracting #1: cost 3 inf + 0 481.584 * * [simplify]: Extracting #2: cost 6 inf + 0 481.584 * * [simplify]: Extracting #3: cost 10 inf + 0 481.584 * * [simplify]: Extracting #4: cost 24 inf + 0 481.584 * * [simplify]: Extracting #5: cost 151 inf + 0 481.585 * * [simplify]: Extracting #6: cost 261 inf + 44 481.586 * * [simplify]: Extracting #7: cost 276 inf + 2743 481.592 * * [simplify]: Extracting #8: cost 191 inf + 16704 481.598 * * [simplify]: Extracting #9: cost 116 inf + 40478 481.613 * * [simplify]: Extracting #10: cost 29 inf + 81945 481.631 * * [simplify]: Extracting #11: cost 1 inf + 99646 481.650 * * [simplify]: Extracting #12: cost 0 inf + 101031 481.669 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) 481.669 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 481.670 * * * * [progress]: [ 1510 / 4754 ] simplifiying candidate # 481.670 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 481.670 * * [simplify]: iters left: 6 (48 enodes) 481.685 * * [simplify]: iters left: 5 (245 enodes) 481.743 * * [simplify]: Extracting #0: cost 1 inf + 0 481.743 * * [simplify]: Extracting #1: cost 3 inf + 0 481.743 * * [simplify]: Extracting #2: cost 6 inf + 0 481.744 * * [simplify]: Extracting #3: cost 10 inf + 0 481.744 * * [simplify]: Extracting #4: cost 24 inf + 0 481.744 * * [simplify]: Extracting #5: cost 163 inf + 0 481.747 * * [simplify]: Extracting #6: cost 297 inf + 44 481.748 * * [simplify]: Extracting #7: cost 319 inf + 2253 481.753 * * [simplify]: Extracting #8: cost 205 inf + 27671 481.764 * * [simplify]: Extracting #9: cost 114 inf + 62863 481.784 * * [simplify]: Extracting #10: cost 10 inf + 116382 481.808 * * [simplify]: Extracting #11: cost 1 inf + 123942 481.832 * * [simplify]: Extracting #12: cost 0 inf + 125727 481.856 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 481.856 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 481.856 * * * * [progress]: [ 1511 / 4754 ] simplifiying candidate # 481.857 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 481.857 * * [simplify]: iters left: 6 (42 enodes) 481.868 * * [simplify]: iters left: 5 (211 enodes) 481.920 * * [simplify]: Extracting #0: cost 1 inf + 0 481.920 * * [simplify]: Extracting #1: cost 3 inf + 0 481.920 * * [simplify]: Extracting #2: cost 6 inf + 0 481.920 * * [simplify]: Extracting #3: cost 10 inf + 0 481.921 * * [simplify]: Extracting #4: cost 24 inf + 0 481.921 * * [simplify]: Extracting #5: cost 150 inf + 0 481.921 * * [simplify]: Extracting #6: cost 258 inf + 44 481.923 * * [simplify]: Extracting #7: cost 270 inf + 2990 481.926 * * [simplify]: Extracting #8: cost 187 inf + 17106 481.932 * * [simplify]: Extracting #9: cost 126 inf + 35642 481.945 * * [simplify]: Extracting #10: cost 38 inf + 73695 481.962 * * [simplify]: Extracting #11: cost 7 inf + 91764 481.981 * * [simplify]: Extracting #12: cost 1 inf + 99114 482.003 * * [simplify]: Extracting #13: cost 0 inf + 100539 482.022 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 482.022 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 482.023 * * * * [progress]: [ 1512 / 4754 ] simplifiying candidate # 482.023 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 482.023 * * [simplify]: iters left: 6 (46 enodes) 482.036 * * [simplify]: iters left: 5 (231 enodes) 482.103 * * [simplify]: Extracting #0: cost 1 inf + 0 482.103 * * [simplify]: Extracting #1: cost 3 inf + 0 482.103 * * [simplify]: Extracting #2: cost 6 inf + 0 482.103 * * [simplify]: Extracting #3: cost 10 inf + 0 482.103 * * [simplify]: Extracting #4: cost 16 inf + 0 482.103 * * [simplify]: Extracting #5: cost 106 inf + 0 482.104 * * [simplify]: Extracting #6: cost 253 inf + 0 482.105 * * [simplify]: Extracting #7: cost 298 inf + 1190 482.107 * * [simplify]: Extracting #8: cost 227 inf + 10945 482.114 * * [simplify]: Extracting #9: cost 129 inf + 42110 482.130 * * [simplify]: Extracting #10: cost 19 inf + 95670 482.150 * * [simplify]: Extracting #11: cost 2 inf + 109572 482.174 * * [simplify]: Extracting #12: cost 0 inf + 112422 482.194 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 482.194 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 482.195 * * * * [progress]: [ 1513 / 4754 ] simplifiying candidate # 482.195 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 482.196 * * [simplify]: iters left: 6 (46 enodes) 482.208 * * [simplify]: iters left: 5 (233 enodes) 482.264 * * [simplify]: Extracting #0: cost 1 inf + 0 482.264 * * [simplify]: Extracting #1: cost 3 inf + 0 482.265 * * [simplify]: Extracting #2: cost 6 inf + 0 482.265 * * [simplify]: Extracting #3: cost 10 inf + 0 482.265 * * [simplify]: Extracting #4: cost 16 inf + 0 482.265 * * [simplify]: Extracting #5: cost 101 inf + 0 482.265 * * [simplify]: Extracting #6: cost 255 inf + 0 482.266 * * [simplify]: Extracting #7: cost 297 inf + 784 482.268 * * [simplify]: Extracting #8: cost 218 inf + 11118 482.275 * * [simplify]: Extracting #9: cost 118 inf + 42044 482.289 * * [simplify]: Extracting #10: cost 34 inf + 81651 482.306 * * [simplify]: Extracting #11: cost 7 inf + 98420 482.328 * * [simplify]: Extracting #12: cost 3 inf + 103120 482.347 * * [simplify]: Extracting #13: cost 1 inf + 106570 482.367 * * [simplify]: Extracting #14: cost 0 inf + 108315 482.387 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 482.388 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 482.388 * * * * [progress]: [ 1514 / 4754 ] simplifiying candidate # 482.389 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 482.389 * * [simplify]: iters left: 6 (46 enodes) 482.404 * * [simplify]: iters left: 5 (231 enodes) 482.458 * * [simplify]: Extracting #0: cost 1 inf + 0 482.458 * * [simplify]: Extracting #1: cost 3 inf + 0 482.458 * * [simplify]: Extracting #2: cost 6 inf + 0 482.459 * * [simplify]: Extracting #3: cost 10 inf + 0 482.459 * * [simplify]: Extracting #4: cost 16 inf + 0 482.459 * * [simplify]: Extracting #5: cost 106 inf + 0 482.459 * * [simplify]: Extracting #6: cost 244 inf + 0 482.460 * * [simplify]: Extracting #7: cost 279 inf + 1147 482.463 * * [simplify]: Extracting #8: cost 183 inf + 18940 482.473 * * [simplify]: Extracting #9: cost 113 inf + 40378 482.486 * * [simplify]: Extracting #10: cost 32 inf + 79496 482.503 * * [simplify]: Extracting #11: cost 3 inf + 97005 482.522 * * [simplify]: Extracting #12: cost 1 inf + 100535 482.540 * * [simplify]: Extracting #13: cost 0 inf + 102320 482.560 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) 482.561 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 482.561 * * * * [progress]: [ 1515 / 4754 ] simplifiying candidate # 482.561 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 482.562 * * [simplify]: iters left: 6 (34 enodes) 482.571 * * [simplify]: iters left: 5 (162 enodes) 482.604 * * [simplify]: iters left: 4 (469 enodes) 482.815 * * [simplify]: Extracting #0: cost 1 inf + 0 482.815 * * [simplify]: Extracting #1: cost 4 inf + 0 482.815 * * [simplify]: Extracting #2: cost 7 inf + 0 482.815 * * [simplify]: Extracting #3: cost 24 inf + 0 482.816 * * [simplify]: Extracting #4: cost 296 inf + 0 482.818 * * [simplify]: Extracting #5: cost 711 inf + 535 482.829 * * [simplify]: Extracting #6: cost 682 inf + 28062 482.848 * * [simplify]: Extracting #7: cost 426 inf + 94761 482.883 * * [simplify]: Extracting #8: cost 226 inf + 168189 482.939 * * [simplify]: Extracting #9: cost 20 inf + 260156 482.997 * * [simplify]: Extracting #10: cost 2 inf + 271073 483.057 * * [simplify]: Extracting #11: cost 0 inf + 272641 483.116 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 483.116 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 483.116 * * * * [progress]: [ 1516 / 4754 ] simplifiying candidate # 483.117 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 483.117 * * [simplify]: iters left: 6 (46 enodes) 483.129 * * [simplify]: iters left: 5 (231 enodes) 483.184 * * [simplify]: Extracting #0: cost 1 inf + 0 483.184 * * [simplify]: Extracting #1: cost 3 inf + 0 483.184 * * [simplify]: Extracting #2: cost 6 inf + 0 483.184 * * [simplify]: Extracting #3: cost 10 inf + 0 483.184 * * [simplify]: Extracting #4: cost 20 inf + 0 483.184 * * [simplify]: Extracting #5: cost 124 inf + 0 483.185 * * [simplify]: Extracting #6: cost 246 inf + 85 483.186 * * [simplify]: Extracting #7: cost 256 inf + 2577 483.190 * * [simplify]: Extracting #8: cost 153 inf + 27233 483.203 * * [simplify]: Extracting #9: cost 44 inf + 75635 483.220 * * [simplify]: Extracting #10: cost 13 inf + 89211 483.240 * * [simplify]: Extracting #11: cost 3 inf + 95783 483.259 * * [simplify]: Extracting #12: cost 0 inf + 100458 483.278 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) 483.278 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 483.279 * * * * [progress]: [ 1517 / 4754 ] simplifiying candidate # 483.279 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 483.279 * * [simplify]: iters left: 6 (40 enodes) 483.289 * * [simplify]: iters left: 5 (196 enodes) 483.335 * * [simplify]: Extracting #0: cost 1 inf + 0 483.335 * * [simplify]: Extracting #1: cost 3 inf + 0 483.335 * * [simplify]: Extracting #2: cost 6 inf + 0 483.335 * * [simplify]: Extracting #3: cost 10 inf + 0 483.335 * * [simplify]: Extracting #4: cost 20 inf + 0 483.335 * * [simplify]: Extracting #5: cost 112 inf + 0 483.336 * * [simplify]: Extracting #6: cost 215 inf + 44 483.337 * * [simplify]: Extracting #7: cost 217 inf + 3066 483.340 * * [simplify]: Extracting #8: cost 133 inf + 20805 483.347 * * [simplify]: Extracting #9: cost 73 inf + 41425 483.361 * * [simplify]: Extracting #10: cost 16 inf + 70495 483.377 * * [simplify]: Extracting #11: cost 1 inf + 80232 483.392 * * [simplify]: Extracting #12: cost 0 inf + 80444 483.410 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 483.410 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 483.410 * * * * [progress]: [ 1518 / 4754 ] simplifiying candidate # 483.410 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 483.411 * * [simplify]: iters left: 6 (46 enodes) 483.423 * * [simplify]: iters left: 5 (231 enodes) 483.479 * * [simplify]: Extracting #0: cost 1 inf + 0 483.479 * * [simplify]: Extracting #1: cost 3 inf + 0 483.479 * * [simplify]: Extracting #2: cost 6 inf + 0 483.479 * * [simplify]: Extracting #3: cost 10 inf + 0 483.479 * * [simplify]: Extracting #4: cost 20 inf + 0 483.479 * * [simplify]: Extracting #5: cost 124 inf + 0 483.479 * * [simplify]: Extracting #6: cost 246 inf + 85 483.481 * * [simplify]: Extracting #7: cost 257 inf + 2336 483.484 * * [simplify]: Extracting #8: cost 169 inf + 19703 483.492 * * [simplify]: Extracting #9: cost 90 inf + 48579 483.506 * * [simplify]: Extracting #10: cost 26 inf + 81526 483.523 * * [simplify]: Extracting #11: cost 3 inf + 96543 483.542 * * [simplify]: Extracting #12: cost 0 inf + 101218 483.563 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) 483.563 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 483.563 * * * * [progress]: [ 1519 / 4754 ] simplifiying candidate # 483.564 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 483.564 * * [simplify]: iters left: 6 (40 enodes) 483.575 * * [simplify]: iters left: 5 (195 enodes) 483.617 * * [simplify]: Extracting #0: cost 1 inf + 0 483.617 * * [simplify]: Extracting #1: cost 3 inf + 0 483.617 * * [simplify]: Extracting #2: cost 6 inf + 0 483.617 * * [simplify]: Extracting #3: cost 10 inf + 0 483.617 * * [simplify]: Extracting #4: cost 20 inf + 0 483.617 * * [simplify]: Extracting #5: cost 112 inf + 0 483.618 * * [simplify]: Extracting #6: cost 209 inf + 44 483.619 * * [simplify]: Extracting #7: cost 215 inf + 2736 483.625 * * [simplify]: Extracting #8: cost 121 inf + 22585 483.631 * * [simplify]: Extracting #9: cost 83 inf + 36398 483.643 * * [simplify]: Extracting #10: cost 20 inf + 65377 483.658 * * [simplify]: Extracting #11: cost 1 inf + 77679 483.674 * * [simplify]: Extracting #12: cost 0 inf + 79064 483.690 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) 483.690 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 483.691 * * * * [progress]: [ 1520 / 4754 ] simplifiying candidate # 483.691 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 483.691 * * [simplify]: iters left: 6 (48 enodes) 483.704 * * [simplify]: iters left: 5 (254 enodes) 483.766 * * [simplify]: Extracting #0: cost 1 inf + 0 483.766 * * [simplify]: Extracting #1: cost 3 inf + 0 483.766 * * [simplify]: Extracting #2: cost 6 inf + 0 483.766 * * [simplify]: Extracting #3: cost 10 inf + 0 483.766 * * [simplify]: Extracting #4: cost 16 inf + 0 483.767 * * [simplify]: Extracting #5: cost 114 inf + 0 483.767 * * [simplify]: Extracting #6: cost 290 inf + 0 483.768 * * [simplify]: Extracting #7: cost 328 inf + 2038 483.771 * * [simplify]: Extracting #8: cost 249 inf + 15057 483.782 * * [simplify]: Extracting #9: cost 152 inf + 43428 483.798 * * [simplify]: Extracting #10: cost 38 inf + 89441 483.818 * * [simplify]: Extracting #11: cost 2 inf + 111047 483.841 * * [simplify]: Extracting #12: cost 0 inf + 113737 483.862 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 483.862 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 483.862 * * * * [progress]: [ 1521 / 4754 ] simplifiying candidate # 483.863 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 483.863 * * [simplify]: iters left: 6 (48 enodes) 483.877 * * [simplify]: iters left: 5 (252 enodes) 483.939 * * [simplify]: Extracting #0: cost 1 inf + 0 483.939 * * [simplify]: Extracting #1: cost 3 inf + 0 483.939 * * [simplify]: Extracting #2: cost 6 inf + 0 483.939 * * [simplify]: Extracting #3: cost 10 inf + 0 483.939 * * [simplify]: Extracting #4: cost 16 inf + 0 483.939 * * [simplify]: Extracting #5: cost 109 inf + 0 483.940 * * [simplify]: Extracting #6: cost 282 inf + 0 483.941 * * [simplify]: Extracting #7: cost 309 inf + 2452 483.946 * * [simplify]: Extracting #8: cost 177 inf + 30117 483.960 * * [simplify]: Extracting #9: cost 49 inf + 80741 483.978 * * [simplify]: Extracting #10: cost 11 inf + 98441 483.998 * * [simplify]: Extracting #11: cost 2 inf + 104559 484.020 * * [simplify]: Extracting #12: cost 0 inf + 108009 484.041 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 484.041 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.042 * * * * [progress]: [ 1522 / 4754 ] simplifiying candidate # 484.042 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 484.042 * * [simplify]: iters left: 6 (48 enodes) 484.055 * * [simplify]: iters left: 5 (252 enodes) 484.118 * * [simplify]: Extracting #0: cost 1 inf + 0 484.118 * * [simplify]: Extracting #1: cost 3 inf + 0 484.118 * * [simplify]: Extracting #2: cost 6 inf + 0 484.118 * * [simplify]: Extracting #3: cost 10 inf + 0 484.118 * * [simplify]: Extracting #4: cost 16 inf + 0 484.118 * * [simplify]: Extracting #5: cost 112 inf + 0 484.118 * * [simplify]: Extracting #6: cost 281 inf + 0 484.120 * * [simplify]: Extracting #7: cost 313 inf + 1110 484.123 * * [simplify]: Extracting #8: cost 215 inf + 16770 484.131 * * [simplify]: Extracting #9: cost 125 inf + 44379 484.146 * * [simplify]: Extracting #10: cost 23 inf + 88122 484.165 * * [simplify]: Extracting #11: cost 2 inf + 101924 484.187 * * [simplify]: Extracting #12: cost 0 inf + 105374 484.207 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) 484.207 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.208 * * * * [progress]: [ 1523 / 4754 ] simplifiying candidate # 484.208 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 484.208 * * [simplify]: iters left: 6 (40 enodes) 484.219 * * [simplify]: iters left: 5 (208 enodes) 484.269 * * [simplify]: Extracting #0: cost 1 inf + 0 484.269 * * [simplify]: Extracting #1: cost 3 inf + 0 484.269 * * [simplify]: Extracting #2: cost 6 inf + 0 484.269 * * [simplify]: Extracting #3: cost 10 inf + 0 484.269 * * [simplify]: Extracting #4: cost 16 inf + 0 484.270 * * [simplify]: Extracting #5: cost 101 inf + 0 484.270 * * [simplify]: Extracting #6: cost 246 inf + 0 484.271 * * [simplify]: Extracting #7: cost 252 inf + 2972 484.275 * * [simplify]: Extracting #8: cost 164 inf + 20167 484.282 * * [simplify]: Extracting #9: cost 95 inf + 42759 484.296 * * [simplify]: Extracting #10: cost 23 inf + 72013 484.313 * * [simplify]: Extracting #11: cost 3 inf + 84166 484.331 * * [simplify]: Extracting #12: cost 0 inf + 85975 484.350 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 484.350 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.350 * * * * [progress]: [ 1524 / 4754 ] simplifiying candidate # 484.351 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 484.351 * * [simplify]: iters left: 6 (48 enodes) 484.363 * * [simplify]: iters left: 5 (250 enodes) 484.424 * * [simplify]: Extracting #0: cost 1 inf + 0 484.425 * * [simplify]: Extracting #1: cost 3 inf + 0 484.425 * * [simplify]: Extracting #2: cost 6 inf + 0 484.425 * * [simplify]: Extracting #3: cost 10 inf + 0 484.425 * * [simplify]: Extracting #4: cost 20 inf + 0 484.425 * * [simplify]: Extracting #5: cost 134 inf + 0 484.426 * * [simplify]: Extracting #6: cost 278 inf + 85 484.427 * * [simplify]: Extracting #7: cost 287 inf + 2939 484.432 * * [simplify]: Extracting #8: cost 153 inf + 34509 484.445 * * [simplify]: Extracting #9: cost 63 inf + 69557 484.462 * * [simplify]: Extracting #10: cost 15 inf + 90513 484.480 * * [simplify]: Extracting #11: cost 0 inf + 102354 484.502 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) 484.502 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.503 * * * * [progress]: [ 1525 / 4754 ] simplifiying candidate # 484.503 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 484.503 * * [simplify]: iters left: 6 (42 enodes) 484.514 * * [simplify]: iters left: 5 (216 enodes) 484.565 * * [simplify]: Extracting #0: cost 1 inf + 0 484.565 * * [simplify]: Extracting #1: cost 3 inf + 0 484.565 * * [simplify]: Extracting #2: cost 6 inf + 0 484.565 * * [simplify]: Extracting #3: cost 10 inf + 0 484.565 * * [simplify]: Extracting #4: cost 20 inf + 0 484.565 * * [simplify]: Extracting #5: cost 119 inf + 0 484.566 * * [simplify]: Extracting #6: cost 246 inf + 44 484.567 * * [simplify]: Extracting #7: cost 247 inf + 3589 484.571 * * [simplify]: Extracting #8: cost 147 inf + 24101 484.577 * * [simplify]: Extracting #9: cost 101 inf + 36188 484.589 * * [simplify]: Extracting #10: cost 31 inf + 65456 484.605 * * [simplify]: Extracting #11: cost 3 inf + 81370 484.622 * * [simplify]: Extracting #12: cost 0 inf + 84672 484.639 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 484.639 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.640 * * * * [progress]: [ 1526 / 4754 ] simplifiying candidate # 484.640 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 484.640 * * [simplify]: iters left: 6 (48 enodes) 484.655 * * [simplify]: iters left: 5 (250 enodes) 484.712 * * [simplify]: Extracting #0: cost 1 inf + 0 484.712 * * [simplify]: Extracting #1: cost 3 inf + 0 484.712 * * [simplify]: Extracting #2: cost 6 inf + 0 484.713 * * [simplify]: Extracting #3: cost 10 inf + 0 484.713 * * [simplify]: Extracting #4: cost 20 inf + 0 484.713 * * [simplify]: Extracting #5: cost 134 inf + 0 484.713 * * [simplify]: Extracting #6: cost 278 inf + 85 484.717 * * [simplify]: Extracting #7: cost 287 inf + 2978 484.723 * * [simplify]: Extracting #8: cost 151 inf + 35314 484.735 * * [simplify]: Extracting #9: cost 63 inf + 69997 484.752 * * [simplify]: Extracting #10: cost 16 inf + 90781 484.771 * * [simplify]: Extracting #11: cost 0 inf + 102954 484.790 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) 484.790 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.791 * * * * [progress]: [ 1527 / 4754 ] simplifiying candidate # 484.791 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 484.791 * * [simplify]: iters left: 6 (42 enodes) 484.805 * * [simplify]: iters left: 5 (216 enodes) 484.853 * * [simplify]: Extracting #0: cost 1 inf + 0 484.853 * * [simplify]: Extracting #1: cost 3 inf + 0 484.853 * * [simplify]: Extracting #2: cost 6 inf + 0 484.853 * * [simplify]: Extracting #3: cost 10 inf + 0 484.853 * * [simplify]: Extracting #4: cost 20 inf + 0 484.854 * * [simplify]: Extracting #5: cost 118 inf + 0 484.854 * * [simplify]: Extracting #6: cost 246 inf + 44 484.855 * * [simplify]: Extracting #7: cost 246 inf + 3791 484.859 * * [simplify]: Extracting #8: cost 146 inf + 24343 484.866 * * [simplify]: Extracting #9: cost 103 inf + 35578 484.880 * * [simplify]: Extracting #10: cost 30 inf + 66041 484.896 * * [simplify]: Extracting #11: cost 3 inf + 81210 484.912 * * [simplify]: Extracting #12: cost 0 inf + 84272 484.928 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 484.928 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 484.929 * * * * [progress]: [ 1528 / 4754 ] simplifiying candidate # 484.929 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 484.929 * * [simplify]: iters left: 6 (49 enodes) 484.943 * * [simplify]: iters left: 5 (244 enodes) 485.001 * * [simplify]: Extracting #0: cost 1 inf + 0 485.001 * * [simplify]: Extracting #1: cost 3 inf + 0 485.001 * * [simplify]: Extracting #2: cost 6 inf + 0 485.001 * * [simplify]: Extracting #3: cost 10 inf + 0 485.001 * * [simplify]: Extracting #4: cost 16 inf + 0 485.001 * * [simplify]: Extracting #5: cost 111 inf + 0 485.002 * * [simplify]: Extracting #6: cost 275 inf + 0 485.003 * * [simplify]: Extracting #7: cost 319 inf + 744 485.005 * * [simplify]: Extracting #8: cost 235 inf + 13446 485.012 * * [simplify]: Extracting #9: cost 144 inf + 41123 485.030 * * [simplify]: Extracting #10: cost 41 inf + 87970 485.049 * * [simplify]: Extracting #11: cost 6 inf + 109010 485.070 * * [simplify]: Extracting #12: cost 1 inf + 115975 485.091 * * [simplify]: Extracting #13: cost 0 inf + 117760 485.113 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 485.113 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (- lambda1 lambda2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 485.114 * * * * [progress]: [ 1529 / 4754 ] simplifiying candidate # 485.114 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 485.115 * * [simplify]: iters left: 6 (49 enodes) 485.128 * * [simplify]: iters left: 5 (246 enodes) 485.187 * * [simplify]: Extracting #0: cost 1 inf + 0 485.187 * * [simplify]: Extracting #1: cost 3 inf + 0 485.187 * * [simplify]: Extracting #2: cost 6 inf + 0 485.187 * * [simplify]: Extracting #3: cost 10 inf + 0 485.187 * * [simplify]: Extracting #4: cost 16 inf + 0 485.188 * * [simplify]: Extracting #5: cost 110 inf + 0 485.188 * * [simplify]: Extracting #6: cost 280 inf + 0 485.189 * * [simplify]: Extracting #7: cost 318 inf + 864 485.192 * * [simplify]: Extracting #8: cost 207 inf + 17752 485.201 * * [simplify]: Extracting #9: cost 113 inf + 49344 485.216 * * [simplify]: Extracting #10: cost 26 inf + 93769 485.236 * * [simplify]: Extracting #11: cost 3 inf + 109992 485.258 * * [simplify]: Extracting #12: cost 0 inf + 114867 485.281 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) 485.281 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 485.282 * * * * [progress]: [ 1530 / 4754 ] simplifiying candidate # 485.282 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 485.282 * * [simplify]: iters left: 6 (49 enodes) 485.296 * * [simplify]: iters left: 5 (246 enodes) 485.355 * * [simplify]: Extracting #0: cost 1 inf + 0 485.355 * * [simplify]: Extracting #1: cost 3 inf + 0 485.355 * * [simplify]: Extracting #2: cost 6 inf + 0 485.355 * * [simplify]: Extracting #3: cost 10 inf + 0 485.355 * * [simplify]: Extracting #4: cost 16 inf + 0 485.356 * * [simplify]: Extracting #5: cost 113 inf + 0 485.356 * * [simplify]: Extracting #6: cost 278 inf + 0 485.357 * * [simplify]: Extracting #7: cost 310 inf + 784 485.360 * * [simplify]: Extracting #8: cost 198 inf + 19314 485.369 * * [simplify]: Extracting #9: cost 99 inf + 54435 485.385 * * [simplify]: Extracting #10: cost 22 inf + 92176 485.405 * * [simplify]: Extracting #11: cost 2 inf + 108717 485.427 * * [simplify]: Extracting #12: cost 0 inf + 111847 485.447 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 485.447 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 485.448 * * * * [progress]: [ 1531 / 4754 ] simplifiying candidate # 485.448 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 485.449 * * [simplify]: iters left: 6 (41 enodes) 485.459 * * [simplify]: iters left: 5 (196 enodes) 485.504 * * [simplify]: Extracting #0: cost 1 inf + 0 485.504 * * [simplify]: Extracting #1: cost 3 inf + 0 485.504 * * [simplify]: Extracting #2: cost 6 inf + 0 485.504 * * [simplify]: Extracting #3: cost 10 inf + 0 485.504 * * [simplify]: Extracting #4: cost 16 inf + 0 485.504 * * [simplify]: Extracting #5: cost 97 inf + 0 485.504 * * [simplify]: Extracting #6: cost 222 inf + 0 485.505 * * [simplify]: Extracting #7: cost 230 inf + 1760 485.509 * * [simplify]: Extracting #8: cost 115 inf + 28390 485.520 * * [simplify]: Extracting #9: cost 35 inf + 63138 485.534 * * [simplify]: Extracting #10: cost 15 inf + 73773 485.549 * * [simplify]: Extracting #11: cost 0 inf + 83895 485.565 * * [simplify]: Extracting #12: cost 0 inf + 83855 485.580 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 485.581 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 485.581 * * * * [progress]: [ 1532 / 4754 ] simplifiying candidate # 485.581 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 485.582 * * [simplify]: iters left: 6 (49 enodes) 485.605 * * [simplify]: iters left: 5 (244 enodes) 485.662 * * [simplify]: Extracting #0: cost 1 inf + 0 485.662 * * [simplify]: Extracting #1: cost 3 inf + 0 485.662 * * [simplify]: Extracting #2: cost 6 inf + 0 485.662 * * [simplify]: Extracting #3: cost 10 inf + 0 485.662 * * [simplify]: Extracting #4: cost 22 inf + 0 485.663 * * [simplify]: Extracting #5: cost 136 inf + 0 485.663 * * [simplify]: Extracting #6: cost 276 inf + 44 485.667 * * [simplify]: Extracting #7: cost 282 inf + 2898 485.671 * * [simplify]: Extracting #8: cost 184 inf + 22868 485.680 * * [simplify]: Extracting #9: cost 99 inf + 53933 485.696 * * [simplify]: Extracting #10: cost 26 inf + 90401 485.714 * * [simplify]: Extracting #11: cost 3 inf + 105037 485.734 * * [simplify]: Extracting #12: cost 0 inf + 109632 485.756 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 485.756 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 485.756 * * * * [progress]: [ 1533 / 4754 ] simplifiying candidate # 485.757 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 485.757 * * [simplify]: iters left: 6 (43 enodes) 485.768 * * [simplify]: iters left: 5 (210 enodes) 485.814 * * [simplify]: Extracting #0: cost 1 inf + 0 485.814 * * [simplify]: Extracting #1: cost 3 inf + 0 485.814 * * [simplify]: Extracting #2: cost 6 inf + 0 485.814 * * [simplify]: Extracting #3: cost 10 inf + 0 485.814 * * [simplify]: Extracting #4: cost 20 inf + 0 485.814 * * [simplify]: Extracting #5: cost 120 inf + 0 485.815 * * [simplify]: Extracting #6: cost 243 inf + 44 485.816 * * [simplify]: Extracting #7: cost 246 inf + 3261 485.823 * * [simplify]: Extracting #8: cost 119 inf + 32320 485.835 * * [simplify]: Extracting #9: cost 33 inf + 71844 485.852 * * [simplify]: Extracting #10: cost 14 inf + 80760 485.872 * * [simplify]: Extracting #11: cost 4 inf + 87452 485.888 * * [simplify]: Extracting #12: cost 0 inf + 88191 485.904 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 485.905 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 485.905 * * * * [progress]: [ 1534 / 4754 ] simplifiying candidate # 485.906 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 485.906 * * [simplify]: iters left: 6 (49 enodes) 485.920 * * [simplify]: iters left: 5 (244 enodes) 485.975 * * [simplify]: Extracting #0: cost 1 inf + 0 485.975 * * [simplify]: Extracting #1: cost 3 inf + 0 485.975 * * [simplify]: Extracting #2: cost 6 inf + 0 485.975 * * [simplify]: Extracting #3: cost 10 inf + 0 485.975 * * [simplify]: Extracting #4: cost 22 inf + 0 485.975 * * [simplify]: Extracting #5: cost 136 inf + 0 485.976 * * [simplify]: Extracting #6: cost 275 inf + 86 485.977 * * [simplify]: Extracting #7: cost 278 inf + 3267 485.983 * * [simplify]: Extracting #8: cost 198 inf + 17138 485.991 * * [simplify]: Extracting #9: cost 98 inf + 53870 486.007 * * [simplify]: Extracting #10: cost 25 inf + 91586 486.026 * * [simplify]: Extracting #11: cost 2 inf + 107542 486.046 * * [simplify]: Extracting #12: cost 0 inf + 110312 486.067 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 486.067 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 486.068 * * * * [progress]: [ 1535 / 4754 ] simplifiying candidate # 486.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 486.068 * * [simplify]: iters left: 6 (43 enodes) 486.080 * * [simplify]: iters left: 5 (210 enodes) 486.125 * * [simplify]: Extracting #0: cost 1 inf + 0 486.125 * * [simplify]: Extracting #1: cost 3 inf + 0 486.125 * * [simplify]: Extracting #2: cost 6 inf + 0 486.125 * * [simplify]: Extracting #3: cost 10 inf + 0 486.125 * * [simplify]: Extracting #4: cost 20 inf + 0 486.126 * * [simplify]: Extracting #5: cost 119 inf + 0 486.126 * * [simplify]: Extracting #6: cost 243 inf + 44 486.127 * * [simplify]: Extracting #7: cost 249 inf + 2411 486.131 * * [simplify]: Extracting #8: cost 126 inf + 29490 486.145 * * [simplify]: Extracting #9: cost 34 inf + 70019 486.160 * * [simplify]: Extracting #10: cost 16 inf + 78310 486.175 * * [simplify]: Extracting #11: cost 8 inf + 81672 486.191 * * [simplify]: Extracting #12: cost 0 inf + 88431 486.209 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 486.209 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 486.210 * * * * [progress]: [ 1536 / 4754 ] simplifiying candidate # 486.210 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 486.210 * * [simplify]: iters left: 6 (49 enodes) 486.225 * * [simplify]: iters left: 5 (245 enodes) 486.281 * * [simplify]: Extracting #0: cost 1 inf + 0 486.281 * * [simplify]: Extracting #1: cost 3 inf + 0 486.281 * * [simplify]: Extracting #2: cost 6 inf + 0 486.281 * * [simplify]: Extracting #3: cost 10 inf + 0 486.281 * * [simplify]: Extracting #4: cost 16 inf + 0 486.281 * * [simplify]: Extracting #5: cost 108 inf + 0 486.282 * * [simplify]: Extracting #6: cost 273 inf + 0 486.283 * * [simplify]: Extracting #7: cost 313 inf + 1150 486.285 * * [simplify]: Extracting #8: cost 231 inf + 13087 486.295 * * [simplify]: Extracting #9: cost 146 inf + 38532 486.309 * * [simplify]: Extracting #10: cost 41 inf + 84835 486.328 * * [simplify]: Extracting #11: cost 3 inf + 105557 486.349 * * [simplify]: Extracting #12: cost 0 inf + 109712 486.369 * * [simplify]: Extracting #13: cost 0 inf + 109632 486.391 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 486.391 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 486.391 * * * * [progress]: [ 1537 / 4754 ] simplifiying candidate # 486.392 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 486.392 * * [simplify]: iters left: 6 (49 enodes) 486.405 * * [simplify]: iters left: 5 (247 enodes) 486.465 * * [simplify]: Extracting #0: cost 1 inf + 0 486.465 * * [simplify]: Extracting #1: cost 3 inf + 0 486.465 * * [simplify]: Extracting #2: cost 6 inf + 0 486.465 * * [simplify]: Extracting #3: cost 10 inf + 0 486.465 * * [simplify]: Extracting #4: cost 16 inf + 0 486.466 * * [simplify]: Extracting #5: cost 107 inf + 0 486.466 * * [simplify]: Extracting #6: cost 278 inf + 0 486.467 * * [simplify]: Extracting #7: cost 312 inf + 1392 486.471 * * [simplify]: Extracting #8: cost 198 inf + 20541 486.478 * * [simplify]: Extracting #9: cost 145 inf + 37082 486.489 * * [simplify]: Extracting #10: cost 55 inf + 71776 486.506 * * [simplify]: Extracting #11: cost 7 inf + 97244 486.526 * * [simplify]: Extracting #12: cost 2 inf + 103249 486.548 * * [simplify]: Extracting #13: cost 0 inf + 106259 486.568 * * [simplify]: Extracting #14: cost 0 inf + 106179 486.587 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 486.587 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 486.588 * * * * [progress]: [ 1538 / 4754 ] simplifiying candidate # 486.588 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 486.589 * * [simplify]: iters left: 6 (49 enodes) 486.601 * * [simplify]: iters left: 5 (247 enodes) 486.660 * * [simplify]: Extracting #0: cost 1 inf + 0 486.660 * * [simplify]: Extracting #1: cost 3 inf + 0 486.660 * * [simplify]: Extracting #2: cost 6 inf + 0 486.660 * * [simplify]: Extracting #3: cost 10 inf + 0 486.660 * * [simplify]: Extracting #4: cost 16 inf + 0 486.660 * * [simplify]: Extracting #5: cost 110 inf + 0 486.661 * * [simplify]: Extracting #6: cost 277 inf + 0 486.662 * * [simplify]: Extracting #7: cost 302 inf + 2041 486.665 * * [simplify]: Extracting #8: cost 201 inf + 20002 486.673 * * [simplify]: Extracting #9: cost 129 inf + 41710 486.689 * * [simplify]: Extracting #10: cost 30 inf + 82968 486.707 * * [simplify]: Extracting #11: cost 3 inf + 100109 486.726 * * [simplify]: Extracting #12: cost 0 inf + 103904 486.745 * * [simplify]: Extracting #13: cost 0 inf + 103544 486.764 * * [simplify]: Extracting #14: cost 0 inf + 103464 486.784 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 486.784 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 486.785 * * * * [progress]: [ 1539 / 4754 ] simplifiying candidate # 486.785 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 486.785 * * [simplify]: iters left: 6 (41 enodes) 486.796 * * [simplify]: iters left: 5 (199 enodes) 486.839 * * [simplify]: Extracting #0: cost 1 inf + 0 486.839 * * [simplify]: Extracting #1: cost 3 inf + 0 486.839 * * [simplify]: Extracting #2: cost 6 inf + 0 486.839 * * [simplify]: Extracting #3: cost 10 inf + 0 486.839 * * [simplify]: Extracting #4: cost 16 inf + 0 486.840 * * [simplify]: Extracting #5: cost 94 inf + 0 486.840 * * [simplify]: Extracting #6: cost 228 inf + 0 486.841 * * [simplify]: Extracting #7: cost 233 inf + 1805 486.846 * * [simplify]: Extracting #8: cost 145 inf + 17878 486.852 * * [simplify]: Extracting #9: cost 105 inf + 34139 486.865 * * [simplify]: Extracting #10: cost 24 inf + 66653 486.879 * * [simplify]: Extracting #11: cost 7 inf + 75317 486.894 * * [simplify]: Extracting #12: cost 0 inf + 81546 486.909 * * [simplify]: Extracting #13: cost 0 inf + 81186 486.924 * * [simplify]: Extracting #14: cost 0 inf + 81106 486.940 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 486.940 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 486.941 * * * * [progress]: [ 1540 / 4754 ] simplifiying candidate # 486.941 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 486.941 * * [simplify]: iters left: 6 (49 enodes) 486.954 * * [simplify]: iters left: 5 (245 enodes) 487.012 * * [simplify]: Extracting #0: cost 1 inf + 0 487.012 * * [simplify]: Extracting #1: cost 3 inf + 0 487.012 * * [simplify]: Extracting #2: cost 6 inf + 0 487.012 * * [simplify]: Extracting #3: cost 10 inf + 0 487.012 * * [simplify]: Extracting #4: cost 22 inf + 0 487.012 * * [simplify]: Extracting #5: cost 133 inf + 0 487.013 * * [simplify]: Extracting #6: cost 274 inf + 127 487.014 * * [simplify]: Extracting #7: cost 275 inf + 3629 487.018 * * [simplify]: Extracting #8: cost 195 inf + 17679 487.024 * * [simplify]: Extracting #9: cost 130 inf + 38793 487.037 * * [simplify]: Extracting #10: cost 35 inf + 80119 487.055 * * [simplify]: Extracting #11: cost 3 inf + 98999 487.074 * * [simplify]: Extracting #12: cost 0 inf + 102874 487.094 * * [simplify]: Extracting #13: cost 0 inf + 101794 487.113 * * [simplify]: Extracting #14: cost 0 inf + 101674 487.132 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 487.132 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 487.133 * * * * [progress]: [ 1541 / 4754 ] simplifiying candidate # 487.133 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 487.133 * * [simplify]: iters left: 6 (43 enodes) 487.144 * * [simplify]: iters left: 5 (211 enodes) 487.193 * * [simplify]: Extracting #0: cost 1 inf + 0 487.193 * * [simplify]: Extracting #1: cost 3 inf + 0 487.193 * * [simplify]: Extracting #2: cost 6 inf + 0 487.193 * * [simplify]: Extracting #3: cost 10 inf + 0 487.193 * * [simplify]: Extracting #4: cost 20 inf + 0 487.193 * * [simplify]: Extracting #5: cost 117 inf + 0 487.194 * * [simplify]: Extracting #6: cost 242 inf + 44 487.195 * * [simplify]: Extracting #7: cost 246 inf + 2698 487.198 * * [simplify]: Extracting #8: cost 143 inf + 22165 487.204 * * [simplify]: Extracting #9: cost 103 inf + 35681 487.216 * * [simplify]: Extracting #10: cost 23 inf + 68606 487.231 * * [simplify]: Extracting #11: cost 5 inf + 76656 487.249 * * [simplify]: Extracting #12: cost 0 inf + 82288 487.264 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 487.264 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 487.265 * * * * [progress]: [ 1542 / 4754 ] simplifiying candidate # 487.265 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 487.265 * * [simplify]: iters left: 6 (49 enodes) 487.278 * * [simplify]: iters left: 5 (245 enodes) 487.335 * * [simplify]: Extracting #0: cost 1 inf + 0 487.335 * * [simplify]: Extracting #1: cost 3 inf + 0 487.335 * * [simplify]: Extracting #2: cost 6 inf + 0 487.335 * * [simplify]: Extracting #3: cost 10 inf + 0 487.335 * * [simplify]: Extracting #4: cost 22 inf + 0 487.335 * * [simplify]: Extracting #5: cost 133 inf + 0 487.336 * * [simplify]: Extracting #6: cost 274 inf + 127 487.337 * * [simplify]: Extracting #7: cost 268 inf + 5044 487.341 * * [simplify]: Extracting #8: cost 192 inf + 19366 487.348 * * [simplify]: Extracting #9: cost 129 inf + 39898 487.361 * * [simplify]: Extracting #10: cost 35 inf + 80839 487.379 * * [simplify]: Extracting #11: cost 2 inf + 101464 487.401 * * [simplify]: Extracting #12: cost 0 inf + 103434 487.420 * * [simplify]: Extracting #13: cost 0 inf + 102434 487.439 * * [simplify]: Extracting #14: cost 0 inf + 102314 487.458 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 487.458 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 487.459 * * * * [progress]: [ 1543 / 4754 ] simplifiying candidate # 487.459 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 487.459 * * [simplify]: iters left: 6 (43 enodes) 487.470 * * [simplify]: iters left: 5 (211 enodes) 487.521 * * [simplify]: Extracting #0: cost 1 inf + 0 487.521 * * [simplify]: Extracting #1: cost 3 inf + 0 487.521 * * [simplify]: Extracting #2: cost 6 inf + 0 487.521 * * [simplify]: Extracting #3: cost 10 inf + 0 487.521 * * [simplify]: Extracting #4: cost 20 inf + 0 487.521 * * [simplify]: Extracting #5: cost 116 inf + 0 487.522 * * [simplify]: Extracting #6: cost 242 inf + 44 487.523 * * [simplify]: Extracting #7: cost 247 inf + 2572 487.527 * * [simplify]: Extracting #8: cost 122 inf + 28494 487.538 * * [simplify]: Extracting #9: cost 32 inf + 63686 487.554 * * [simplify]: Extracting #10: cost 14 inf + 72471 487.568 * * [simplify]: Extracting #11: cost 5 inf + 76616 487.584 * * [simplify]: Extracting #12: cost 0 inf + 82448 487.599 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 487.599 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 487.600 * * * * [progress]: [ 1544 / 4754 ] simplifiying candidate # 487.600 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 487.600 * * [simplify]: iters left: 6 (49 enodes) 487.613 * * [simplify]: iters left: 5 (245 enodes) 487.670 * * [simplify]: Extracting #0: cost 1 inf + 0 487.670 * * [simplify]: Extracting #1: cost 3 inf + 0 487.670 * * [simplify]: Extracting #2: cost 6 inf + 0 487.670 * * [simplify]: Extracting #3: cost 10 inf + 0 487.670 * * [simplify]: Extracting #4: cost 16 inf + 0 487.670 * * [simplify]: Extracting #5: cost 112 inf + 0 487.671 * * [simplify]: Extracting #6: cost 279 inf + 0 487.672 * * [simplify]: Extracting #7: cost 316 inf + 1876 487.675 * * [simplify]: Extracting #8: cost 224 inf + 18011 487.682 * * [simplify]: Extracting #9: cost 135 inf + 45394 487.698 * * [simplify]: Extracting #10: cost 33 inf + 90803 487.721 * * [simplify]: Extracting #11: cost 3 inf + 112085 487.743 * * [simplify]: Extracting #12: cost 0 inf + 116880 487.765 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 487.765 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 487.766 * * * * [progress]: [ 1545 / 4754 ] simplifiying candidate # 487.766 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 487.767 * * [simplify]: iters left: 6 (49 enodes) 487.780 * * [simplify]: iters left: 5 (247 enodes) 487.840 * * [simplify]: Extracting #0: cost 1 inf + 0 487.841 * * [simplify]: Extracting #1: cost 3 inf + 0 487.841 * * [simplify]: Extracting #2: cost 6 inf + 0 487.841 * * [simplify]: Extracting #3: cost 10 inf + 0 487.841 * * [simplify]: Extracting #4: cost 16 inf + 0 487.841 * * [simplify]: Extracting #5: cost 111 inf + 0 487.841 * * [simplify]: Extracting #6: cost 285 inf + 0 487.843 * * [simplify]: Extracting #7: cost 317 inf + 1755 487.846 * * [simplify]: Extracting #8: cost 228 inf + 14873 487.852 * * [simplify]: Extracting #9: cost 134 inf + 42826 487.870 * * [simplify]: Extracting #10: cost 36 inf + 87657 487.889 * * [simplify]: Extracting #11: cost 3 inf + 109457 487.910 * * [simplify]: Extracting #12: cost 0 inf + 114332 487.931 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 487.931 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 487.932 * * * * [progress]: [ 1546 / 4754 ] simplifiying candidate # 487.932 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 487.932 * * [simplify]: iters left: 6 (49 enodes) 487.945 * * [simplify]: iters left: 5 (247 enodes) 488.004 * * [simplify]: Extracting #0: cost 1 inf + 0 488.004 * * [simplify]: Extracting #1: cost 3 inf + 0 488.004 * * [simplify]: Extracting #2: cost 6 inf + 0 488.004 * * [simplify]: Extracting #3: cost 10 inf + 0 488.004 * * [simplify]: Extracting #4: cost 16 inf + 0 488.004 * * [simplify]: Extracting #5: cost 114 inf + 0 488.005 * * [simplify]: Extracting #6: cost 283 inf + 0 488.006 * * [simplify]: Extracting #7: cost 315 inf + 1389 488.009 * * [simplify]: Extracting #8: cost 227 inf + 13418 488.018 * * [simplify]: Extracting #9: cost 129 inf + 44443 488.033 * * [simplify]: Extracting #10: cost 31 inf + 87699 488.052 * * [simplify]: Extracting #11: cost 3 inf + 106317 488.073 * * [simplify]: Extracting #12: cost 0 inf + 111272 488.093 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 488.093 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 488.094 * * * * [progress]: [ 1547 / 4754 ] simplifiying candidate # 488.094 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 488.095 * * [simplify]: iters left: 6 (41 enodes) 488.107 * * [simplify]: iters left: 5 (198 enodes) 488.152 * * [simplify]: Extracting #0: cost 1 inf + 0 488.152 * * [simplify]: Extracting #1: cost 3 inf + 0 488.152 * * [simplify]: Extracting #2: cost 6 inf + 0 488.152 * * [simplify]: Extracting #3: cost 10 inf + 0 488.152 * * [simplify]: Extracting #4: cost 16 inf + 0 488.152 * * [simplify]: Extracting #5: cost 99 inf + 0 488.153 * * [simplify]: Extracting #6: cost 234 inf + 0 488.154 * * [simplify]: Extracting #7: cost 239 inf + 2127 488.157 * * [simplify]: Extracting #8: cost 143 inf + 20862 488.164 * * [simplify]: Extracting #9: cost 95 inf + 38845 488.178 * * [simplify]: Extracting #10: cost 20 inf + 70974 488.194 * * [simplify]: Extracting #11: cost 1 inf + 86049 488.210 * * [simplify]: Extracting #12: cost 0 inf + 87034 488.226 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 488.226 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 488.227 * * * * [progress]: [ 1548 / 4754 ] simplifiying candidate # 488.227 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 488.228 * * [simplify]: iters left: 6 (49 enodes) 488.241 * * [simplify]: iters left: 5 (245 enodes) 488.298 * * [simplify]: Extracting #0: cost 1 inf + 0 488.298 * * [simplify]: Extracting #1: cost 3 inf + 0 488.298 * * [simplify]: Extracting #2: cost 6 inf + 0 488.298 * * [simplify]: Extracting #3: cost 10 inf + 0 488.298 * * [simplify]: Extracting #4: cost 22 inf + 0 488.298 * * [simplify]: Extracting #5: cost 137 inf + 0 488.299 * * [simplify]: Extracting #6: cost 278 inf + 127 488.300 * * [simplify]: Extracting #7: cost 277 inf + 3834 488.303 * * [simplify]: Extracting #8: cost 209 inf + 15398 488.309 * * [simplify]: Extracting #9: cost 137 inf + 37824 488.323 * * [simplify]: Extracting #10: cost 42 inf + 80796 488.343 * * [simplify]: Extracting #11: cost 4 inf + 104972 488.363 * * [simplify]: Extracting #12: cost 0 inf + 109032 488.383 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 488.383 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 488.384 * * * * [progress]: [ 1549 / 4754 ] simplifiying candidate # 488.384 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 488.384 * * [simplify]: iters left: 6 (43 enodes) 488.395 * * [simplify]: iters left: 5 (211 enodes) 488.444 * * [simplify]: Extracting #0: cost 1 inf + 0 488.444 * * [simplify]: Extracting #1: cost 3 inf + 0 488.444 * * [simplify]: Extracting #2: cost 6 inf + 0 488.444 * * [simplify]: Extracting #3: cost 10 inf + 0 488.444 * * [simplify]: Extracting #4: cost 20 inf + 0 488.444 * * [simplify]: Extracting #5: cost 121 inf + 0 488.445 * * [simplify]: Extracting #6: cost 248 inf + 44 488.446 * * [simplify]: Extracting #7: cost 248 inf + 3708 488.451 * * [simplify]: Extracting #8: cost 133 inf + 29260 488.464 * * [simplify]: Extracting #9: cost 25 inf + 73882 488.480 * * [simplify]: Extracting #10: cost 5 inf + 82691 488.499 * * [simplify]: Extracting #11: cost 0 inf + 88496 488.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) 488.515 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 488.516 * * * * [progress]: [ 1550 / 4754 ] simplifiying candidate # 488.516 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 488.517 * * [simplify]: iters left: 6 (49 enodes) 488.530 * * [simplify]: iters left: 5 (245 enodes) 488.587 * * [simplify]: Extracting #0: cost 1 inf + 0 488.588 * * [simplify]: Extracting #1: cost 3 inf + 0 488.588 * * [simplify]: Extracting #2: cost 6 inf + 0 488.588 * * [simplify]: Extracting #3: cost 10 inf + 0 488.588 * * [simplify]: Extracting #4: cost 22 inf + 0 488.588 * * [simplify]: Extracting #5: cost 137 inf + 0 488.589 * * [simplify]: Extracting #6: cost 278 inf + 127 488.590 * * [simplify]: Extracting #7: cost 270 inf + 5247 488.594 * * [simplify]: Extracting #8: cost 207 inf + 15882 488.600 * * [simplify]: Extracting #9: cost 136 inf + 38369 488.613 * * [simplify]: Extracting #10: cost 42 inf + 81236 488.631 * * [simplify]: Extracting #11: cost 4 inf + 105612 488.654 * * [simplify]: Extracting #12: cost 0 inf + 109672 488.674 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 488.674 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 488.675 * * * * [progress]: [ 1551 / 4754 ] simplifiying candidate # 488.675 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 488.675 * * [simplify]: iters left: 6 (43 enodes) 488.687 * * [simplify]: iters left: 5 (211 enodes) 488.735 * * [simplify]: Extracting #0: cost 1 inf + 0 488.735 * * [simplify]: Extracting #1: cost 3 inf + 0 488.735 * * [simplify]: Extracting #2: cost 6 inf + 0 488.735 * * [simplify]: Extracting #3: cost 10 inf + 0 488.735 * * [simplify]: Extracting #4: cost 20 inf + 0 488.735 * * [simplify]: Extracting #5: cost 120 inf + 0 488.736 * * [simplify]: Extracting #6: cost 248 inf + 44 488.737 * * [simplify]: Extracting #7: cost 248 inf + 3708 488.742 * * [simplify]: Extracting #8: cost 131 inf + 29545 488.754 * * [simplify]: Extracting #9: cost 26 inf + 73617 488.770 * * [simplify]: Extracting #10: cost 5 inf + 82931 488.788 * * [simplify]: Extracting #11: cost 0 inf + 88736 488.805 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) 488.805 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 488.807 * * * * [progress]: [ 1552 / 4754 ] simplifiying candidate # 488.808 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 488.808 * * [simplify]: iters left: 6 (49 enodes) 488.821 * * [simplify]: iters left: 5 (245 enodes) 488.880 * * [simplify]: Extracting #0: cost 1 inf + 0 488.880 * * [simplify]: Extracting #1: cost 3 inf + 0 488.880 * * [simplify]: Extracting #2: cost 6 inf + 0 488.880 * * [simplify]: Extracting #3: cost 10 inf + 0 488.880 * * [simplify]: Extracting #4: cost 16 inf + 0 488.880 * * [simplify]: Extracting #5: cost 107 inf + 0 488.881 * * [simplify]: Extracting #6: cost 271 inf + 0 488.882 * * [simplify]: Extracting #7: cost 307 inf + 2162 488.886 * * [simplify]: Extracting #8: cost 217 inf + 17766 488.892 * * [simplify]: Extracting #9: cost 141 inf + 40135 488.907 * * [simplify]: Extracting #10: cost 33 inf + 86953 488.926 * * [simplify]: Extracting #11: cost 3 inf + 105917 488.946 * * [simplify]: Extracting #12: cost 0 inf + 109632 488.968 * * [simplify]: Extracting #13: cost 0 inf + 109112 488.989 * * [simplify]: Extracting #14: cost 0 inf + 109032 489.009 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 489.009 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 489.010 * * * * [progress]: [ 1553 / 4754 ] simplifiying candidate # 489.010 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 489.011 * * [simplify]: iters left: 6 (49 enodes) 489.023 * * [simplify]: iters left: 5 (247 enodes) 489.082 * * [simplify]: Extracting #0: cost 1 inf + 0 489.082 * * [simplify]: Extracting #1: cost 3 inf + 0 489.082 * * [simplify]: Extracting #2: cost 6 inf + 0 489.082 * * [simplify]: Extracting #3: cost 10 inf + 0 489.082 * * [simplify]: Extracting #4: cost 16 inf + 0 489.082 * * [simplify]: Extracting #5: cost 106 inf + 0 489.083 * * [simplify]: Extracting #6: cost 277 inf + 0 489.084 * * [simplify]: Extracting #7: cost 309 inf + 2358 489.088 * * [simplify]: Extracting #8: cost 212 inf + 19553 489.095 * * [simplify]: Extracting #9: cost 139 inf + 40349 489.111 * * [simplify]: Extracting #10: cost 40 inf + 81284 489.131 * * [simplify]: Extracting #11: cost 3 inf + 102809 489.151 * * [simplify]: Extracting #12: cost 0 inf + 106644 489.171 * * [simplify]: Extracting #13: cost 0 inf + 106244 489.191 * * [simplify]: Extracting #14: cost 0 inf + 106164 489.212 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 489.212 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 489.212 * * * * [progress]: [ 1554 / 4754 ] simplifiying candidate # 489.212 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 489.213 * * [simplify]: iters left: 6 (49 enodes) 489.226 * * [simplify]: iters left: 5 (247 enodes) 489.286 * * [simplify]: Extracting #0: cost 1 inf + 0 489.286 * * [simplify]: Extracting #1: cost 3 inf + 0 489.286 * * [simplify]: Extracting #2: cost 6 inf + 0 489.286 * * [simplify]: Extracting #3: cost 10 inf + 0 489.286 * * [simplify]: Extracting #4: cost 16 inf + 0 489.286 * * [simplify]: Extracting #5: cost 109 inf + 0 489.286 * * [simplify]: Extracting #6: cost 275 inf + 0 489.287 * * [simplify]: Extracting #7: cost 300 inf + 2124 489.291 * * [simplify]: Extracting #8: cost 203 inf + 19640 489.298 * * [simplify]: Extracting #9: cost 128 inf + 42539 489.313 * * [simplify]: Extracting #10: cost 26 inf + 86468 489.331 * * [simplify]: Extracting #11: cost 3 inf + 98909 489.350 * * [simplify]: Extracting #12: cost 0 inf + 103184 489.371 * * [simplify]: Extracting #13: cost 0 inf + 103104 489.390 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 489.390 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 489.390 * * * * [progress]: [ 1555 / 4754 ] simplifiying candidate # 489.391 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 489.391 * * [simplify]: iters left: 6 (41 enodes) 489.402 * * [simplify]: iters left: 5 (199 enodes) 489.448 * * [simplify]: Extracting #0: cost 1 inf + 0 489.448 * * [simplify]: Extracting #1: cost 3 inf + 0 489.448 * * [simplify]: Extracting #2: cost 6 inf + 0 489.448 * * [simplify]: Extracting #3: cost 10 inf + 0 489.448 * * [simplify]: Extracting #4: cost 16 inf + 0 489.448 * * [simplify]: Extracting #5: cost 92 inf + 0 489.449 * * [simplify]: Extracting #6: cost 225 inf + 0 489.450 * * [simplify]: Extracting #7: cost 236 inf + 1477 489.453 * * [simplify]: Extracting #8: cost 131 inf + 21815 489.462 * * [simplify]: Extracting #9: cost 52 inf + 52240 489.475 * * [simplify]: Extracting #10: cost 14 inf + 70672 489.491 * * [simplify]: Extracting #11: cost 0 inf + 80502 489.506 * * [simplify]: Extracting #12: cost 0 inf + 80422 489.523 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 489.523 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 489.524 * * * * [progress]: [ 1556 / 4754 ] simplifiying candidate # 489.524 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 489.524 * * [simplify]: iters left: 6 (49 enodes) 489.537 * * [simplify]: iters left: 5 (245 enodes) 489.597 * * [simplify]: Extracting #0: cost 1 inf + 0 489.597 * * [simplify]: Extracting #1: cost 3 inf + 0 489.597 * * [simplify]: Extracting #2: cost 6 inf + 0 489.597 * * [simplify]: Extracting #3: cost 10 inf + 0 489.597 * * [simplify]: Extracting #4: cost 22 inf + 0 489.598 * * [simplify]: Extracting #5: cost 132 inf + 0 489.598 * * [simplify]: Extracting #6: cost 272 inf + 127 489.600 * * [simplify]: Extracting #7: cost 266 inf + 5612 489.604 * * [simplify]: Extracting #8: cost 170 inf + 26538 489.617 * * [simplify]: Extracting #9: cost 47 inf + 75496 489.633 * * [simplify]: Extracting #10: cost 14 inf + 90404 489.652 * * [simplify]: Extracting #11: cost 1 inf + 99889 489.674 * * [simplify]: Extracting #12: cost 0 inf + 101634 489.697 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 489.697 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 489.697 * * * * [progress]: [ 1557 / 4754 ] simplifiying candidate # 489.698 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 489.698 * * [simplify]: iters left: 6 (43 enodes) 489.709 * * [simplify]: iters left: 5 (211 enodes) 489.754 * * [simplify]: Extracting #0: cost 1 inf + 0 489.755 * * [simplify]: Extracting #1: cost 3 inf + 0 489.755 * * [simplify]: Extracting #2: cost 6 inf + 0 489.755 * * [simplify]: Extracting #3: cost 10 inf + 0 489.755 * * [simplify]: Extracting #4: cost 20 inf + 0 489.755 * * [simplify]: Extracting #5: cost 116 inf + 0 489.758 * * [simplify]: Extracting #6: cost 240 inf + 44 489.759 * * [simplify]: Extracting #7: cost 245 inf + 2779 489.763 * * [simplify]: Extracting #8: cost 120 inf + 29631 489.774 * * [simplify]: Extracting #9: cost 31 inf + 64271 489.787 * * [simplify]: Extracting #10: cost 13 inf + 73374 489.802 * * [simplify]: Extracting #11: cost 5 inf + 76656 489.817 * * [simplify]: Extracting #12: cost 0 inf + 82408 489.833 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 489.833 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 489.834 * * * * [progress]: [ 1558 / 4754 ] simplifiying candidate # 489.834 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 489.834 * * [simplify]: iters left: 6 (49 enodes) 489.848 * * [simplify]: iters left: 5 (245 enodes) 489.904 * * [simplify]: Extracting #0: cost 1 inf + 0 489.905 * * [simplify]: Extracting #1: cost 3 inf + 0 489.905 * * [simplify]: Extracting #2: cost 6 inf + 0 489.905 * * [simplify]: Extracting #3: cost 10 inf + 0 489.905 * * [simplify]: Extracting #4: cost 22 inf + 0 489.905 * * [simplify]: Extracting #5: cost 132 inf + 0 489.905 * * [simplify]: Extracting #6: cost 272 inf + 127 489.907 * * [simplify]: Extracting #7: cost 262 inf + 6462 489.914 * * [simplify]: Extracting #8: cost 164 inf + 27647 489.926 * * [simplify]: Extracting #9: cost 53 inf + 73066 489.943 * * [simplify]: Extracting #10: cost 14 inf + 91164 489.961 * * [simplify]: Extracting #11: cost 1 inf + 100529 489.981 * * [simplify]: Extracting #12: cost 0 inf + 102274 490.001 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 490.001 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.002 * * * * [progress]: [ 1559 / 4754 ] simplifiying candidate # 490.002 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 490.003 * * [simplify]: iters left: 6 (43 enodes) 490.014 * * [simplify]: iters left: 5 (211 enodes) 490.059 * * [simplify]: Extracting #0: cost 1 inf + 0 490.059 * * [simplify]: Extracting #1: cost 3 inf + 0 490.059 * * [simplify]: Extracting #2: cost 6 inf + 0 490.059 * * [simplify]: Extracting #3: cost 10 inf + 0 490.059 * * [simplify]: Extracting #4: cost 20 inf + 0 490.060 * * [simplify]: Extracting #5: cost 115 inf + 0 490.060 * * [simplify]: Extracting #6: cost 240 inf + 44 490.061 * * [simplify]: Extracting #7: cost 247 inf + 2490 490.068 * * [simplify]: Extracting #8: cost 120 inf + 29912 490.078 * * [simplify]: Extracting #9: cost 33 inf + 63461 490.092 * * [simplify]: Extracting #10: cost 13 inf + 73294 490.107 * * [simplify]: Extracting #11: cost 5 inf + 76816 490.122 * * [simplify]: Extracting #12: cost 0 inf + 82648 490.138 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 490.138 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.138 * * * * [progress]: [ 1560 / 4754 ] simplifiying candidate # 490.139 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 490.139 * * [simplify]: iters left: 6 (43 enodes) 490.151 * * [simplify]: iters left: 5 (214 enodes) 490.199 * * [simplify]: Extracting #0: cost 1 inf + 0 490.199 * * [simplify]: Extracting #1: cost 3 inf + 0 490.199 * * [simplify]: Extracting #2: cost 6 inf + 0 490.199 * * [simplify]: Extracting #3: cost 10 inf + 0 490.199 * * [simplify]: Extracting #4: cost 16 inf + 0 490.199 * * [simplify]: Extracting #5: cost 98 inf + 0 490.200 * * [simplify]: Extracting #6: cost 243 inf + 2 490.201 * * [simplify]: Extracting #7: cost 254 inf + 1758 490.204 * * [simplify]: Extracting #8: cost 164 inf + 18430 490.213 * * [simplify]: Extracting #9: cost 41 inf + 59871 490.230 * * [simplify]: Extracting #10: cost 2 inf + 79120 490.245 * * [simplify]: Extracting #11: cost 1 inf + 79483 490.260 * * [simplify]: Extracting #12: cost 0 inf + 80868 490.275 * * [simplify]: Extracting #13: cost 0 inf + 80708 490.290 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 490.290 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.291 * * * * [progress]: [ 1561 / 4754 ] simplifiying candidate # 490.291 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 490.292 * * [simplify]: iters left: 6 (43 enodes) 490.303 * * [simplify]: iters left: 5 (212 enodes) 490.351 * * [simplify]: Extracting #0: cost 1 inf + 0 490.351 * * [simplify]: Extracting #1: cost 3 inf + 0 490.352 * * [simplify]: Extracting #2: cost 6 inf + 0 490.352 * * [simplify]: Extracting #3: cost 10 inf + 0 490.352 * * [simplify]: Extracting #4: cost 19 inf + 0 490.352 * * [simplify]: Extracting #5: cost 105 inf + 0 490.352 * * [simplify]: Extracting #6: cost 244 inf + 0 490.353 * * [simplify]: Extracting #7: cost 255 inf + 1314 490.355 * * [simplify]: Extracting #8: cost 184 inf + 10500 490.359 * * [simplify]: Extracting #9: cost 122 inf + 26317 490.370 * * [simplify]: Extracting #10: cost 33 inf + 62288 490.387 * * [simplify]: Extracting #11: cost 3 inf + 77346 490.401 * * [simplify]: Extracting #12: cost 0 inf + 77913 490.416 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 490.416 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.417 * * * * [progress]: [ 1562 / 4754 ] simplifiying candidate # 490.417 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 490.417 * * [simplify]: iters left: 6 (47 enodes) 490.430 * * [simplify]: iters left: 5 (246 enodes) 490.490 * * [simplify]: Extracting #0: cost 1 inf + 0 490.490 * * [simplify]: Extracting #1: cost 3 inf + 0 490.491 * * [simplify]: Extracting #2: cost 6 inf + 0 490.491 * * [simplify]: Extracting #3: cost 10 inf + 0 490.491 * * [simplify]: Extracting #4: cost 20 inf + 0 490.491 * * [simplify]: Extracting #5: cost 135 inf + 0 490.491 * * [simplify]: Extracting #6: cost 292 inf + 1 490.493 * * [simplify]: Extracting #7: cost 346 inf + 1434 490.499 * * [simplify]: Extracting #8: cost 185 inf + 43437 490.519 * * [simplify]: Extracting #9: cost 34 inf + 112885 490.546 * * [simplify]: Extracting #10: cost 5 inf + 126505 490.569 * * [simplify]: Extracting #11: cost 0 inf + 127747 490.592 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 490.592 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.593 * * * * [progress]: [ 1563 / 4754 ] simplifiying candidate # 490.593 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 490.594 * * [simplify]: iters left: 6 (48 enodes) 490.606 * * [simplify]: iters left: 5 (251 enodes) 490.669 * * [simplify]: Extracting #0: cost 1 inf + 0 490.669 * * [simplify]: Extracting #1: cost 3 inf + 0 490.669 * * [simplify]: Extracting #2: cost 6 inf + 0 490.669 * * [simplify]: Extracting #3: cost 10 inf + 0 490.669 * * [simplify]: Extracting #4: cost 20 inf + 0 490.670 * * [simplify]: Extracting #5: cost 133 inf + 0 490.670 * * [simplify]: Extracting #6: cost 303 inf + 1 490.672 * * [simplify]: Extracting #7: cost 351 inf + 1597 490.678 * * [simplify]: Extracting #8: cost 180 inf + 46169 490.700 * * [simplify]: Extracting #9: cost 39 inf + 105243 490.723 * * [simplify]: Extracting #10: cost 2 inf + 125455 490.747 * * [simplify]: Extracting #11: cost 0 inf + 127172 490.771 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda1 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda1 lambda2) (* lambda1 lambda1)))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 490.771 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 lambda2) (+ (* lambda1 lambda2) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda1 lambda2) (* lambda1 lambda1)))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.772 * * * * [progress]: [ 1564 / 4754 ] simplifiying candidate # 490.772 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 490.772 * * [simplify]: iters left: 6 (48 enodes) 490.786 * * [simplify]: iters left: 5 (251 enodes) 490.845 * * [simplify]: Extracting #0: cost 1 inf + 0 490.845 * * [simplify]: Extracting #1: cost 3 inf + 0 490.845 * * [simplify]: Extracting #2: cost 6 inf + 0 490.845 * * [simplify]: Extracting #3: cost 10 inf + 0 490.845 * * [simplify]: Extracting #4: cost 20 inf + 0 490.845 * * [simplify]: Extracting #5: cost 136 inf + 0 490.846 * * [simplify]: Extracting #6: cost 305 inf + 1 490.847 * * [simplify]: Extracting #7: cost 340 inf + 2731 490.858 * * [simplify]: Extracting #8: cost 180 inf + 46131 490.876 * * [simplify]: Extracting #9: cost 33 inf + 104223 490.898 * * [simplify]: Extracting #10: cost 5 inf + 117643 490.921 * * [simplify]: Extracting #11: cost 0 inf + 125368 490.946 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (* (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 490.946 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (* (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 490.947 * * * * [progress]: [ 1565 / 4754 ] simplifiying candidate # 490.947 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 490.948 * * [simplify]: iters left: 6 (48 enodes) 490.962 * * [simplify]: iters left: 5 (253 enodes) 491.025 * * [simplify]: Extracting #0: cost 1 inf + 0 491.025 * * [simplify]: Extracting #1: cost 3 inf + 0 491.025 * * [simplify]: Extracting #2: cost 6 inf + 0 491.025 * * [simplify]: Extracting #3: cost 10 inf + 0 491.026 * * [simplify]: Extracting #4: cost 20 inf + 0 491.026 * * [simplify]: Extracting #5: cost 138 inf + 0 491.026 * * [simplify]: Extracting #6: cost 298 inf + 44 491.028 * * [simplify]: Extracting #7: cost 322 inf + 3142 491.033 * * [simplify]: Extracting #8: cost 197 inf + 29842 491.046 * * [simplify]: Extracting #9: cost 81 inf + 81439 491.068 * * [simplify]: Extracting #10: cost 6 inf + 115490 491.090 * * [simplify]: Extracting #11: cost 0 inf + 118015 491.113 * * [simplify]: Extracting #12: cost 0 inf + 117855 491.135 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) 491.135 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 491.136 * * * * [progress]: [ 1566 / 4754 ] simplifiying candidate # 491.136 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 491.136 * * [simplify]: iters left: 6 (45 enodes) 491.148 * * [simplify]: iters left: 5 (233 enodes) 491.204 * * [simplify]: Extracting #0: cost 1 inf + 0 491.204 * * [simplify]: Extracting #1: cost 3 inf + 0 491.204 * * [simplify]: Extracting #2: cost 6 inf + 0 491.204 * * [simplify]: Extracting #3: cost 10 inf + 0 491.204 * * [simplify]: Extracting #4: cost 24 inf + 0 491.204 * * [simplify]: Extracting #5: cost 136 inf + 0 491.205 * * [simplify]: Extracting #6: cost 260 inf + 1 491.206 * * [simplify]: Extracting #7: cost 293 inf + 2764 491.210 * * [simplify]: Extracting #8: cost 190 inf + 23133 491.221 * * [simplify]: Extracting #9: cost 69 inf + 70991 491.240 * * [simplify]: Extracting #10: cost 5 inf + 107535 491.265 * * [simplify]: Extracting #11: cost 0 inf + 110040 491.287 * * [simplify]: Extracting #12: cost 0 inf + 109960 491.307 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 491.307 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 491.308 * * * * [progress]: [ 1567 / 4754 ] simplifiying candidate # 491.308 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 491.308 * * [simplify]: iters left: 6 (47 enodes) 491.321 * * [simplify]: iters left: 5 (245 enodes) 491.379 * * [simplify]: Extracting #0: cost 1 inf + 0 491.379 * * [simplify]: Extracting #1: cost 3 inf + 0 491.379 * * [simplify]: Extracting #2: cost 6 inf + 0 491.379 * * [simplify]: Extracting #3: cost 10 inf + 0 491.379 * * [simplify]: Extracting #4: cost 24 inf + 0 491.379 * * [simplify]: Extracting #5: cost 144 inf + 0 491.380 * * [simplify]: Extracting #6: cost 285 inf + 44 491.381 * * [simplify]: Extracting #7: cost 302 inf + 4275 491.386 * * [simplify]: Extracting #8: cost 183 inf + 30045 491.396 * * [simplify]: Extracting #9: cost 115 inf + 53666 491.415 * * [simplify]: Extracting #10: cost 17 inf + 96149 491.434 * * [simplify]: Extracting #11: cost 4 inf + 104622 491.454 * * [simplify]: Extracting #12: cost 1 inf + 108897 491.474 * * [simplify]: Extracting #13: cost 0 inf + 110522 491.495 * * [simplify]: Extracting #14: cost 0 inf + 110482 491.516 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 491.516 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 491.517 * * * * [progress]: [ 1568 / 4754 ] simplifiying candidate # 491.517 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 491.517 * * [simplify]: iters left: 6 (46 enodes) 491.530 * * [simplify]: iters left: 5 (236 enodes) 491.588 * * [simplify]: Extracting #0: cost 1 inf + 0 491.588 * * [simplify]: Extracting #1: cost 3 inf + 0 491.588 * * [simplify]: Extracting #2: cost 6 inf + 0 491.588 * * [simplify]: Extracting #3: cost 10 inf + 0 491.588 * * [simplify]: Extracting #4: cost 24 inf + 0 491.588 * * [simplify]: Extracting #5: cost 135 inf + 0 491.589 * * [simplify]: Extracting #6: cost 259 inf + 1 491.591 * * [simplify]: Extracting #7: cost 292 inf + 2481 491.597 * * [simplify]: Extracting #8: cost 152 inf + 39170 491.614 * * [simplify]: Extracting #9: cost 30 inf + 94462 491.634 * * [simplify]: Extracting #10: cost 3 inf + 109629 491.655 * * [simplify]: Extracting #11: cost 0 inf + 110036 491.678 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 491.678 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 491.679 * * * * [progress]: [ 1569 / 4754 ] simplifiying candidate # 491.679 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 491.679 * * [simplify]: iters left: 6 (47 enodes) 491.691 * * [simplify]: iters left: 5 (245 enodes) 491.750 * * [simplify]: Extracting #0: cost 1 inf + 0 491.750 * * [simplify]: Extracting #1: cost 3 inf + 0 491.750 * * [simplify]: Extracting #2: cost 6 inf + 0 491.750 * * [simplify]: Extracting #3: cost 10 inf + 0 491.750 * * [simplify]: Extracting #4: cost 24 inf + 0 491.750 * * [simplify]: Extracting #5: cost 143 inf + 0 491.751 * * [simplify]: Extracting #6: cost 285 inf + 44 491.752 * * [simplify]: Extracting #7: cost 302 inf + 4275 491.757 * * [simplify]: Extracting #8: cost 179 inf + 31981 491.767 * * [simplify]: Extracting #9: cost 115 inf + 53666 491.784 * * [simplify]: Extracting #10: cost 17 inf + 96431 491.803 * * [simplify]: Extracting #11: cost 4 inf + 104822 491.825 * * [simplify]: Extracting #12: cost 1 inf + 109137 491.846 * * [simplify]: Extracting #13: cost 0 inf + 110762 491.867 * * [simplify]: Extracting #14: cost 0 inf + 110722 491.888 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 491.888 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 491.888 * * * * [progress]: [ 1570 / 4754 ] simplifiying candidate # 491.889 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 491.889 * * [simplify]: iters left: 6 (47 enodes) 491.904 * * [simplify]: iters left: 5 (239 enodes) 491.962 * * [simplify]: Extracting #0: cost 1 inf + 0 491.962 * * [simplify]: Extracting #1: cost 3 inf + 0 491.962 * * [simplify]: Extracting #2: cost 6 inf + 0 491.962 * * [simplify]: Extracting #3: cost 10 inf + 0 491.962 * * [simplify]: Extracting #4: cost 24 inf + 0 491.962 * * [simplify]: Extracting #5: cost 165 inf + 0 491.963 * * [simplify]: Extracting #6: cost 291 inf + 1 491.964 * * [simplify]: Extracting #7: cost 342 inf + 1067 491.971 * * [simplify]: Extracting #8: cost 212 inf + 28289 491.986 * * [simplify]: Extracting #9: cost 95 inf + 83295 492.009 * * [simplify]: Extracting #10: cost 8 inf + 129809 492.033 * * [simplify]: Extracting #11: cost 0 inf + 134337 492.059 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 492.059 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 492.060 * * * * [progress]: [ 1571 / 4754 ] simplifiying candidate # 492.060 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 492.060 * * [simplify]: iters left: 6 (48 enodes) 492.073 * * [simplify]: iters left: 5 (247 enodes) 492.135 * * [simplify]: Extracting #0: cost 1 inf + 0 492.135 * * [simplify]: Extracting #1: cost 3 inf + 0 492.135 * * [simplify]: Extracting #2: cost 6 inf + 0 492.136 * * [simplify]: Extracting #3: cost 10 inf + 0 492.136 * * [simplify]: Extracting #4: cost 24 inf + 0 492.136 * * [simplify]: Extracting #5: cost 168 inf + 0 492.137 * * [simplify]: Extracting #6: cost 311 inf + 1 492.138 * * [simplify]: Extracting #7: cost 355 inf + 1475 492.144 * * [simplify]: Extracting #8: cost 197 inf + 44431 492.164 * * [simplify]: Extracting #9: cost 39 inf + 115001 492.188 * * [simplify]: Extracting #10: cost 2 inf + 133959 492.216 * * [simplify]: Extracting #11: cost 0 inf + 135796 492.241 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 492.241 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 492.242 * * * * [progress]: [ 1572 / 4754 ] simplifiying candidate # 492.242 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 492.242 * * [simplify]: iters left: 6 (48 enodes) 492.255 * * [simplify]: iters left: 5 (247 enodes) 492.318 * * [simplify]: Extracting #0: cost 1 inf + 0 492.318 * * [simplify]: Extracting #1: cost 3 inf + 0 492.318 * * [simplify]: Extracting #2: cost 6 inf + 0 492.318 * * [simplify]: Extracting #3: cost 10 inf + 0 492.318 * * [simplify]: Extracting #4: cost 24 inf + 0 492.319 * * [simplify]: Extracting #5: cost 168 inf + 0 492.319 * * [simplify]: Extracting #6: cost 322 inf + 1 492.321 * * [simplify]: Extracting #7: cost 356 inf + 2242 492.328 * * [simplify]: Extracting #8: cost 188 inf + 48587 492.348 * * [simplify]: Extracting #9: cost 47 inf + 115525 492.375 * * [simplify]: Extracting #10: cost 10 inf + 130152 492.400 * * [simplify]: Extracting #11: cost 1 inf + 137832 492.426 * * [simplify]: Extracting #12: cost 0 inf + 139337 492.452 * * [simplify]: Extracting #13: cost 0 inf + 139217 492.478 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 492.478 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 492.479 * * * * [progress]: [ 1573 / 4754 ] simplifiying candidate # 492.479 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 492.480 * * [simplify]: iters left: 6 (48 enodes) 492.492 * * [simplify]: iters left: 5 (245 enodes) 492.555 * * [simplify]: Extracting #0: cost 1 inf + 0 492.555 * * [simplify]: Extracting #1: cost 3 inf + 0 492.555 * * [simplify]: Extracting #2: cost 6 inf + 0 492.555 * * [simplify]: Extracting #3: cost 10 inf + 0 492.555 * * [simplify]: Extracting #4: cost 24 inf + 0 492.555 * * [simplify]: Extracting #5: cost 164 inf + 0 492.556 * * [simplify]: Extracting #6: cost 298 inf + 44 492.558 * * [simplify]: Extracting #7: cost 315 inf + 3424 492.563 * * [simplify]: Extracting #8: cost 186 inf + 34020 492.580 * * [simplify]: Extracting #9: cost 55 inf + 96068 492.602 * * [simplify]: Extracting #10: cost 8 inf + 121691 492.627 * * [simplify]: Extracting #11: cost 0 inf + 125131 492.651 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 492.651 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 492.651 * * * * [progress]: [ 1574 / 4754 ] simplifiying candidate # 492.652 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 492.652 * * [simplify]: iters left: 6 (45 enodes) 492.664 * * [simplify]: iters left: 5 (230 enodes) 492.714 * * [simplify]: Extracting #0: cost 1 inf + 0 492.715 * * [simplify]: Extracting #1: cost 4 inf + 0 492.715 * * [simplify]: Extracting #2: cost 7 inf + 0 492.715 * * [simplify]: Extracting #3: cost 14 inf + 0 492.715 * * [simplify]: Extracting #4: cost 98 inf + 0 492.715 * * [simplify]: Extracting #5: cost 206 inf + 42 492.716 * * [simplify]: Extracting #6: cost 235 inf + 1715 492.720 * * [simplify]: Extracting #7: cost 130 inf + 25586 492.727 * * [simplify]: Extracting #8: cost 93 inf + 36301 492.738 * * [simplify]: Extracting #9: cost 16 inf + 70950 492.752 * * [simplify]: Extracting #10: cost 4 inf + 78957 492.770 * * [simplify]: Extracting #11: cost 1 inf + 82712 492.786 * * [simplify]: Extracting #12: cost 0 inf + 83977 492.801 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 492.801 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 492.802 * * * * [progress]: [ 1575 / 4754 ] simplifiying candidate # 492.802 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 492.802 * * [simplify]: iters left: 6 (47 enodes) 492.815 * * [simplify]: iters left: 5 (241 enodes) 492.878 * * [simplify]: Extracting #0: cost 1 inf + 0 492.878 * * [simplify]: Extracting #1: cost 3 inf + 0 492.878 * * [simplify]: Extracting #2: cost 6 inf + 0 492.878 * * [simplify]: Extracting #3: cost 10 inf + 0 492.878 * * [simplify]: Extracting #4: cost 28 inf + 0 492.878 * * [simplify]: Extracting #5: cost 182 inf + 0 492.879 * * [simplify]: Extracting #6: cost 300 inf + 44 492.881 * * [simplify]: Extracting #7: cost 310 inf + 4156 492.885 * * [simplify]: Extracting #8: cost 199 inf + 26001 492.894 * * [simplify]: Extracting #9: cost 124 inf + 53371 492.912 * * [simplify]: Extracting #10: cost 21 inf + 107749 492.937 * * [simplify]: Extracting #11: cost 1 inf + 121849 492.960 * * [simplify]: Extracting #12: cost 0 inf + 123554 492.983 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))))) 492.983 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 492.983 * * * * [progress]: [ 1576 / 4754 ] simplifiying candidate # 492.984 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 492.984 * * [simplify]: iters left: 6 (46 enodes) 492.996 * * [simplify]: iters left: 5 (232 enodes) 493.047 * * [simplify]: Extracting #0: cost 1 inf + 0 493.047 * * [simplify]: Extracting #1: cost 3 inf + 0 493.047 * * [simplify]: Extracting #2: cost 5 inf + 0 493.047 * * [simplify]: Extracting #3: cost 7 inf + 0 493.047 * * [simplify]: Extracting #4: cost 14 inf + 0 493.047 * * [simplify]: Extracting #5: cost 103 inf + 0 493.048 * * [simplify]: Extracting #6: cost 217 inf + 1 493.049 * * [simplify]: Extracting #7: cost 245 inf + 1918 493.054 * * [simplify]: Extracting #8: cost 111 inf + 35846 493.066 * * [simplify]: Extracting #9: cost 33 inf + 73269 493.085 * * [simplify]: Extracting #10: cost 3 inf + 87697 493.102 * * [simplify]: Extracting #11: cost 0 inf + 88213 493.118 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 493.118 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 493.119 * * * * [progress]: [ 1577 / 4754 ] simplifiying candidate # 493.119 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 493.119 * * [simplify]: iters left: 6 (47 enodes) 493.132 * * [simplify]: iters left: 5 (241 enodes) 493.193 * * [simplify]: Extracting #0: cost 1 inf + 0 493.193 * * [simplify]: Extracting #1: cost 3 inf + 0 493.194 * * [simplify]: Extracting #2: cost 6 inf + 0 493.194 * * [simplify]: Extracting #3: cost 10 inf + 0 493.194 * * [simplify]: Extracting #4: cost 28 inf + 0 493.194 * * [simplify]: Extracting #5: cost 181 inf + 0 493.195 * * [simplify]: Extracting #6: cost 305 inf + 85 493.196 * * [simplify]: Extracting #7: cost 319 inf + 3470 493.199 * * [simplify]: Extracting #8: cost 238 inf + 16658 493.208 * * [simplify]: Extracting #9: cost 132 inf + 53182 493.227 * * [simplify]: Extracting #10: cost 15 inf + 111446 493.252 * * [simplify]: Extracting #11: cost 2 inf + 122044 493.274 * * [simplify]: Extracting #12: cost 0 inf + 125454 493.297 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 493.297 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 493.298 * * * * [progress]: [ 1578 / 4754 ] simplifiying candidate # 493.298 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 493.298 * * [simplify]: iters left: 6 (45 enodes) 493.310 * * [simplify]: iters left: 5 (224 enodes) 493.365 * * [simplify]: Extracting #0: cost 1 inf + 0 493.365 * * [simplify]: Extracting #1: cost 3 inf + 0 493.365 * * [simplify]: Extracting #2: cost 6 inf + 0 493.365 * * [simplify]: Extracting #3: cost 10 inf + 0 493.365 * * [simplify]: Extracting #4: cost 20 inf + 0 493.365 * * [simplify]: Extracting #5: cost 123 inf + 0 493.366 * * [simplify]: Extracting #6: cost 242 inf + 1 493.367 * * [simplify]: Extracting #7: cost 280 inf + 1475 493.371 * * [simplify]: Extracting #8: cost 153 inf + 31410 493.387 * * [simplify]: Extracting #9: cost 39 inf + 84740 493.412 * * [simplify]: Extracting #10: cost 7 inf + 104372 493.432 * * [simplify]: Extracting #11: cost 0 inf + 109535 493.453 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 493.453 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 493.454 * * * * [progress]: [ 1579 / 4754 ] simplifiying candidate # 493.454 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 493.454 * * [simplify]: iters left: 6 (46 enodes) 493.466 * * [simplify]: iters left: 5 (232 enodes) 493.521 * * [simplify]: Extracting #0: cost 1 inf + 0 493.521 * * [simplify]: Extracting #1: cost 3 inf + 0 493.521 * * [simplify]: Extracting #2: cost 6 inf + 0 493.521 * * [simplify]: Extracting #3: cost 10 inf + 0 493.521 * * [simplify]: Extracting #4: cost 20 inf + 0 493.521 * * [simplify]: Extracting #5: cost 126 inf + 0 493.522 * * [simplify]: Extracting #6: cost 262 inf + 1 493.523 * * [simplify]: Extracting #7: cost 290 inf + 2531 493.526 * * [simplify]: Extracting #8: cost 184 inf + 21596 493.537 * * [simplify]: Extracting #9: cost 81 inf + 63776 493.558 * * [simplify]: Extracting #10: cost 10 inf + 105853 493.578 * * [simplify]: Extracting #11: cost 0 inf + 111354 493.599 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))))) 493.599 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 493.600 * * * * [progress]: [ 1580 / 4754 ] simplifiying candidate # 493.600 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 493.600 * * [simplify]: iters left: 6 (46 enodes) 493.612 * * [simplify]: iters left: 5 (233 enodes) 493.668 * * [simplify]: Extracting #0: cost 1 inf + 0 493.668 * * [simplify]: Extracting #1: cost 3 inf + 0 493.668 * * [simplify]: Extracting #2: cost 6 inf + 0 493.668 * * [simplify]: Extracting #3: cost 10 inf + 0 493.668 * * [simplify]: Extracting #4: cost 20 inf + 0 493.668 * * [simplify]: Extracting #5: cost 128 inf + 0 493.669 * * [simplify]: Extracting #6: cost 271 inf + 1 493.670 * * [simplify]: Extracting #7: cost 297 inf + 1841 493.674 * * [simplify]: Extracting #8: cost 177 inf + 28602 493.687 * * [simplify]: Extracting #9: cost 60 inf + 79848 493.708 * * [simplify]: Extracting #10: cost 2 inf + 111915 493.733 * * [simplify]: Extracting #11: cost 0 inf + 113845 493.754 * * [simplify]: Extracting #12: cost 0 inf + 113445 493.776 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)))))) 493.776 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 493.776 * * * * [progress]: [ 1581 / 4754 ] simplifiying candidate # 493.777 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 493.777 * * [simplify]: iters left: 6 (46 enodes) 493.789 * * [simplify]: iters left: 5 (231 enodes) 493.843 * * [simplify]: Extracting #0: cost 1 inf + 0 493.844 * * [simplify]: Extracting #1: cost 3 inf + 0 493.844 * * [simplify]: Extracting #2: cost 6 inf + 0 493.844 * * [simplify]: Extracting #3: cost 10 inf + 0 493.844 * * [simplify]: Extracting #4: cost 22 inf + 0 493.844 * * [simplify]: Extracting #5: cost 127 inf + 0 493.844 * * [simplify]: Extracting #6: cost 250 inf + 44 493.846 * * [simplify]: Extracting #7: cost 261 inf + 2659 493.849 * * [simplify]: Extracting #8: cost 172 inf + 21542 493.860 * * [simplify]: Extracting #9: cost 55 inf + 70945 493.880 * * [simplify]: Extracting #10: cost 11 inf + 92803 493.899 * * [simplify]: Extracting #11: cost 2 inf + 99283 493.919 * * [simplify]: Extracting #12: cost 0 inf + 102733 493.938 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 493.939 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 493.939 * * * * [progress]: [ 1582 / 4754 ] simplifiying candidate # 493.939 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 493.940 * * [simplify]: iters left: 6 (39 enodes) 493.950 * * [simplify]: iters left: 5 (190 enodes) 493.992 * * [simplify]: Extracting #0: cost 1 inf + 0 493.992 * * [simplify]: Extracting #1: cost 4 inf + 0 493.992 * * [simplify]: Extracting #2: cost 7 inf + 0 493.992 * * [simplify]: Extracting #3: cost 14 inf + 0 493.992 * * [simplify]: Extracting #4: cost 82 inf + 0 493.993 * * [simplify]: Extracting #5: cost 176 inf + 1 493.993 * * [simplify]: Extracting #6: cost 205 inf + 539 493.995 * * [simplify]: Extracting #7: cost 156 inf + 7167 494.001 * * [simplify]: Extracting #8: cost 67 inf + 36273 494.011 * * [simplify]: Extracting #9: cost 10 inf + 62117 494.024 * * [simplify]: Extracting #10: cost 0 inf + 70699 494.040 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 494.040 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.040 * * * * [progress]: [ 1583 / 4754 ] simplifiying candidate # 494.041 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 494.041 * * [simplify]: iters left: 6 (45 enodes) 494.053 * * [simplify]: iters left: 5 (226 enodes) 494.104 * * [simplify]: Extracting #0: cost 1 inf + 0 494.104 * * [simplify]: Extracting #1: cost 3 inf + 0 494.104 * * [simplify]: Extracting #2: cost 6 inf + 0 494.104 * * [simplify]: Extracting #3: cost 10 inf + 0 494.104 * * [simplify]: Extracting #4: cost 24 inf + 0 494.105 * * [simplify]: Extracting #5: cost 137 inf + 0 494.105 * * [simplify]: Extracting #6: cost 248 inf + 44 494.109 * * [simplify]: Extracting #7: cost 257 inf + 2742 494.114 * * [simplify]: Extracting #8: cost 136 inf + 33838 494.127 * * [simplify]: Extracting #9: cost 41 inf + 71576 494.144 * * [simplify]: Extracting #10: cost 6 inf + 91171 494.162 * * [simplify]: Extracting #11: cost 1 inf + 97294 494.180 * * [simplify]: Extracting #12: cost 0 inf + 98839 494.200 * * [simplify]: Extracting #13: cost 0 inf + 98719 494.218 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 494.218 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.219 * * * * [progress]: [ 1584 / 4754 ] simplifiying candidate # 494.219 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 494.219 * * [simplify]: iters left: 6 (43 enodes) 494.230 * * [simplify]: iters left: 5 (206 enodes) 494.274 * * [simplify]: Extracting #0: cost 1 inf + 0 494.274 * * [simplify]: Extracting #1: cost 4 inf + 0 494.274 * * [simplify]: Extracting #2: cost 7 inf + 0 494.274 * * [simplify]: Extracting #3: cost 14 inf + 0 494.275 * * [simplify]: Extracting #4: cost 86 inf + 0 494.275 * * [simplify]: Extracting #5: cost 186 inf + 1 494.276 * * [simplify]: Extracting #6: cost 207 inf + 1393 494.280 * * [simplify]: Extracting #7: cost 102 inf + 27886 494.291 * * [simplify]: Extracting #8: cost 20 inf + 67764 494.304 * * [simplify]: Extracting #9: cost 2 inf + 73929 494.318 * * [simplify]: Extracting #10: cost 0 inf + 74855 494.331 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 494.331 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.331 * * * * [progress]: [ 1585 / 4754 ] simplifiying candidate # 494.332 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 494.332 * * [simplify]: iters left: 6 (45 enodes) 494.344 * * [simplify]: iters left: 5 (227 enodes) 494.398 * * [simplify]: Extracting #0: cost 1 inf + 0 494.398 * * [simplify]: Extracting #1: cost 3 inf + 0 494.398 * * [simplify]: Extracting #2: cost 6 inf + 0 494.398 * * [simplify]: Extracting #3: cost 10 inf + 0 494.398 * * [simplify]: Extracting #4: cost 24 inf + 0 494.399 * * [simplify]: Extracting #5: cost 135 inf + 0 494.399 * * [simplify]: Extracting #6: cost 253 inf + 44 494.400 * * [simplify]: Extracting #7: cost 262 inf + 2782 494.404 * * [simplify]: Extracting #8: cost 165 inf + 24233 494.411 * * [simplify]: Extracting #9: cost 113 inf + 39255 494.426 * * [simplify]: Extracting #10: cost 29 inf + 76373 494.444 * * [simplify]: Extracting #11: cost 3 inf + 96420 494.462 * * [simplify]: Extracting #12: cost 0 inf + 100375 494.481 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 494.481 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.482 * * * * [progress]: [ 1586 / 4754 ] simplifiying candidate # 494.482 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 494.483 * * [simplify]: iters left: 6 (47 enodes) 494.495 * * [simplify]: iters left: 5 (248 enodes) 494.555 * * [simplify]: Extracting #0: cost 1 inf + 0 494.555 * * [simplify]: Extracting #1: cost 3 inf + 0 494.555 * * [simplify]: Extracting #2: cost 6 inf + 0 494.555 * * [simplify]: Extracting #3: cost 10 inf + 0 494.555 * * [simplify]: Extracting #4: cost 20 inf + 0 494.555 * * [simplify]: Extracting #5: cost 134 inf + 0 494.556 * * [simplify]: Extracting #6: cost 292 inf + 1 494.557 * * [simplify]: Extracting #7: cost 326 inf + 2160 494.560 * * [simplify]: Extracting #8: cost 229 inf + 18617 494.569 * * [simplify]: Extracting #9: cost 135 inf + 51646 494.589 * * [simplify]: Extracting #10: cost 27 inf + 102211 494.612 * * [simplify]: Extracting #11: cost 0 inf + 119531 494.633 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 494.634 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.634 * * * * [progress]: [ 1587 / 4754 ] simplifiying candidate # 494.635 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 494.635 * * [simplify]: iters left: 6 (48 enodes) 494.647 * * [simplify]: iters left: 5 (252 enodes) 494.710 * * [simplify]: Extracting #0: cost 1 inf + 0 494.711 * * [simplify]: Extracting #1: cost 3 inf + 0 494.711 * * [simplify]: Extracting #2: cost 6 inf + 0 494.711 * * [simplify]: Extracting #3: cost 10 inf + 0 494.711 * * [simplify]: Extracting #4: cost 20 inf + 0 494.711 * * [simplify]: Extracting #5: cost 133 inf + 0 494.711 * * [simplify]: Extracting #6: cost 298 inf + 1 494.713 * * [simplify]: Extracting #7: cost 329 inf + 1880 494.717 * * [simplify]: Extracting #8: cost 214 inf + 24720 494.726 * * [simplify]: Extracting #9: cost 126 inf + 51982 494.745 * * [simplify]: Extracting #10: cost 30 inf + 95954 494.765 * * [simplify]: Extracting #11: cost 1 inf + 114907 494.787 * * [simplify]: Extracting #12: cost 0 inf + 116612 494.808 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 494.808 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.808 * * * * [progress]: [ 1588 / 4754 ] simplifiying candidate # 494.809 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 494.809 * * [simplify]: iters left: 6 (48 enodes) 494.823 * * [simplify]: iters left: 5 (252 enodes) 494.882 * * [simplify]: Extracting #0: cost 1 inf + 0 494.882 * * [simplify]: Extracting #1: cost 3 inf + 0 494.883 * * [simplify]: Extracting #2: cost 6 inf + 0 494.883 * * [simplify]: Extracting #3: cost 10 inf + 0 494.883 * * [simplify]: Extracting #4: cost 20 inf + 0 494.883 * * [simplify]: Extracting #5: cost 136 inf + 0 494.886 * * [simplify]: Extracting #6: cost 299 inf + 1 494.887 * * [simplify]: Extracting #7: cost 324 inf + 1800 494.891 * * [simplify]: Extracting #8: cost 201 inf + 27256 494.900 * * [simplify]: Extracting #9: cost 134 inf + 48027 494.915 * * [simplify]: Extracting #10: cost 45 inf + 87199 494.936 * * [simplify]: Extracting #11: cost 1 inf + 114118 494.958 * * [simplify]: Extracting #12: cost 0 inf + 115143 494.981 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 494.981 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 494.982 * * * * [progress]: [ 1589 / 4754 ] simplifiying candidate # 494.982 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 494.982 * * [simplify]: iters left: 6 (48 enodes) 494.995 * * [simplify]: iters left: 5 (254 enodes) 495.059 * * [simplify]: Extracting #0: cost 1 inf + 0 495.059 * * [simplify]: Extracting #1: cost 3 inf + 0 495.059 * * [simplify]: Extracting #2: cost 6 inf + 0 495.059 * * [simplify]: Extracting #3: cost 10 inf + 0 495.059 * * [simplify]: Extracting #4: cost 20 inf + 0 495.060 * * [simplify]: Extracting #5: cost 138 inf + 0 495.060 * * [simplify]: Extracting #6: cost 291 inf + 44 495.062 * * [simplify]: Extracting #7: cost 294 inf + 3676 495.066 * * [simplify]: Extracting #8: cost 175 inf + 28538 495.079 * * [simplify]: Extracting #9: cost 53 inf + 75263 495.098 * * [simplify]: Extracting #10: cost 9 inf + 99817 495.118 * * [simplify]: Extracting #11: cost 0 inf + 106106 495.140 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) 495.140 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 495.140 * * * * [progress]: [ 1590 / 4754 ] simplifiying candidate # 495.141 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 495.141 * * [simplify]: iters left: 6 (45 enodes) 495.153 * * [simplify]: iters left: 5 (236 enodes) 495.210 * * [simplify]: Extracting #0: cost 1 inf + 0 495.210 * * [simplify]: Extracting #1: cost 3 inf + 0 495.210 * * [simplify]: Extracting #2: cost 6 inf + 0 495.210 * * [simplify]: Extracting #3: cost 10 inf + 0 495.210 * * [simplify]: Extracting #4: cost 24 inf + 0 495.210 * * [simplify]: Extracting #5: cost 135 inf + 0 495.211 * * [simplify]: Extracting #6: cost 260 inf + 1 495.212 * * [simplify]: Extracting #7: cost 283 inf + 1108 495.215 * * [simplify]: Extracting #8: cost 209 inf + 13812 495.221 * * [simplify]: Extracting #9: cost 123 inf + 40054 495.235 * * [simplify]: Extracting #10: cost 31 inf + 81995 495.253 * * [simplify]: Extracting #11: cost 4 inf + 97028 495.271 * * [simplify]: Extracting #12: cost 2 inf + 100158 495.293 * * [simplify]: Extracting #13: cost 0 inf + 103288 495.312 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 495.312 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 495.313 * * * * [progress]: [ 1591 / 4754 ] simplifiying candidate # 495.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 495.313 * * [simplify]: iters left: 6 (47 enodes) 495.326 * * [simplify]: iters left: 5 (246 enodes) 495.385 * * [simplify]: Extracting #0: cost 1 inf + 0 495.385 * * [simplify]: Extracting #1: cost 3 inf + 0 495.385 * * [simplify]: Extracting #2: cost 6 inf + 0 495.385 * * [simplify]: Extracting #3: cost 10 inf + 0 495.385 * * [simplify]: Extracting #4: cost 24 inf + 0 495.386 * * [simplify]: Extracting #5: cost 144 inf + 0 495.386 * * [simplify]: Extracting #6: cost 278 inf + 44 495.387 * * [simplify]: Extracting #7: cost 283 inf + 3386 495.392 * * [simplify]: Extracting #8: cost 168 inf + 26779 495.402 * * [simplify]: Extracting #9: cost 71 inf + 61218 495.419 * * [simplify]: Extracting #10: cost 11 inf + 92476 495.440 * * [simplify]: Extracting #11: cost 0 inf + 100253 495.458 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))))))) 495.458 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 495.459 * * * * [progress]: [ 1592 / 4754 ] simplifiying candidate # 495.459 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 495.460 * * [simplify]: iters left: 6 (46 enodes) 495.472 * * [simplify]: iters left: 5 (238 enodes) 495.531 * * [simplify]: Extracting #0: cost 1 inf + 0 495.531 * * [simplify]: Extracting #1: cost 3 inf + 0 495.531 * * [simplify]: Extracting #2: cost 6 inf + 0 495.531 * * [simplify]: Extracting #3: cost 10 inf + 0 495.531 * * [simplify]: Extracting #4: cost 24 inf + 0 495.531 * * [simplify]: Extracting #5: cost 136 inf + 0 495.532 * * [simplify]: Extracting #6: cost 261 inf + 1 495.533 * * [simplify]: Extracting #7: cost 282 inf + 1351 495.536 * * [simplify]: Extracting #8: cost 188 inf + 20712 495.544 * * [simplify]: Extracting #9: cost 114 inf + 47602 495.559 * * [simplify]: Extracting #10: cost 18 inf + 91054 495.578 * * [simplify]: Extracting #11: cost 2 inf + 101162 495.600 * * [simplify]: Extracting #12: cost 1 inf + 102707 495.619 * * [simplify]: Extracting #13: cost 0 inf + 104252 495.639 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 495.639 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 495.640 * * * * [progress]: [ 1593 / 4754 ] simplifiying candidate # 495.640 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 495.640 * * [simplify]: iters left: 6 (47 enodes) 495.653 * * [simplify]: iters left: 5 (246 enodes) 495.713 * * [simplify]: Extracting #0: cost 1 inf + 0 495.713 * * [simplify]: Extracting #1: cost 3 inf + 0 495.713 * * [simplify]: Extracting #2: cost 6 inf + 0 495.713 * * [simplify]: Extracting #3: cost 10 inf + 0 495.713 * * [simplify]: Extracting #4: cost 24 inf + 0 495.713 * * [simplify]: Extracting #5: cost 143 inf + 0 495.714 * * [simplify]: Extracting #6: cost 278 inf + 44 495.715 * * [simplify]: Extracting #7: cost 283 inf + 3386 495.719 * * [simplify]: Extracting #8: cost 167 inf + 27023 495.730 * * [simplify]: Extracting #9: cost 72 inf + 61176 495.749 * * [simplify]: Extracting #10: cost 11 inf + 92716 495.767 * * [simplify]: Extracting #11: cost 0 inf + 100493 495.787 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 495.787 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 495.787 * * * * [progress]: [ 1594 / 4754 ] simplifiying candidate # 495.788 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 495.788 * * [simplify]: iters left: 6 (48 enodes) 495.800 * * [simplify]: iters left: 5 (238 enodes) 495.855 * * [simplify]: Extracting #0: cost 1 inf + 0 495.855 * * [simplify]: Extracting #1: cost 3 inf + 0 495.855 * * [simplify]: Extracting #2: cost 6 inf + 0 495.855 * * [simplify]: Extracting #3: cost 10 inf + 0 495.855 * * [simplify]: Extracting #4: cost 20 inf + 0 495.855 * * [simplify]: Extracting #5: cost 131 inf + 0 495.856 * * [simplify]: Extracting #6: cost 275 inf + 1 495.857 * * [simplify]: Extracting #7: cost 310 inf + 1394 495.860 * * [simplify]: Extracting #8: cost 222 inf + 17274 495.867 * * [simplify]: Extracting #9: cost 139 inf + 42958 495.882 * * [simplify]: Extracting #10: cost 38 inf + 92889 495.906 * * [simplify]: Extracting #11: cost 0 inf + 121066 495.927 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 495.928 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 495.928 * * * * [progress]: [ 1595 / 4754 ] simplifiying candidate # 495.929 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 495.929 * * [simplify]: iters left: 6 (49 enodes) 495.942 * * [simplify]: iters left: 5 (246 enodes) 496.002 * * [simplify]: Extracting #0: cost 1 inf + 0 496.002 * * [simplify]: Extracting #1: cost 3 inf + 0 496.002 * * [simplify]: Extracting #2: cost 6 inf + 0 496.002 * * [simplify]: Extracting #3: cost 10 inf + 0 496.002 * * [simplify]: Extracting #4: cost 20 inf + 0 496.002 * * [simplify]: Extracting #5: cost 134 inf + 0 496.003 * * [simplify]: Extracting #6: cost 294 inf + 1 496.004 * * [simplify]: Extracting #7: cost 322 inf + 1642 496.007 * * [simplify]: Extracting #8: cost 228 inf + 15761 496.015 * * [simplify]: Extracting #9: cost 131 inf + 49396 496.032 * * [simplify]: Extracting #10: cost 30 inf + 98917 496.056 * * [simplify]: Extracting #11: cost 2 inf + 118711 496.078 * * [simplify]: Extracting #12: cost 0 inf + 122161 496.100 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 496.100 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 496.101 * * * * [progress]: [ 1596 / 4754 ] simplifiying candidate # 496.101 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 496.101 * * [simplify]: iters left: 6 (49 enodes) 496.114 * * [simplify]: iters left: 5 (246 enodes) 496.171 * * [simplify]: Extracting #0: cost 1 inf + 0 496.171 * * [simplify]: Extracting #1: cost 3 inf + 0 496.171 * * [simplify]: Extracting #2: cost 6 inf + 0 496.171 * * [simplify]: Extracting #3: cost 10 inf + 0 496.171 * * [simplify]: Extracting #4: cost 20 inf + 0 496.171 * * [simplify]: Extracting #5: cost 137 inf + 0 496.172 * * [simplify]: Extracting #6: cost 296 inf + 1 496.173 * * [simplify]: Extracting #7: cost 320 inf + 1478 496.177 * * [simplify]: Extracting #8: cost 207 inf + 24391 496.185 * * [simplify]: Extracting #9: cost 142 inf + 44222 496.199 * * [simplify]: Extracting #10: cost 46 inf + 88313 496.222 * * [simplify]: Extracting #11: cost 2 inf + 116947 496.244 * * [simplify]: Extracting #12: cost 0 inf + 120397 496.265 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 496.265 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 496.266 * * * * [progress]: [ 1597 / 4754 ] simplifiying candidate # 496.266 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 496.267 * * [simplify]: iters left: 6 (49 enodes) 496.280 * * [simplify]: iters left: 5 (244 enodes) 496.338 * * [simplify]: Extracting #0: cost 1 inf + 0 496.338 * * [simplify]: Extracting #1: cost 3 inf + 0 496.338 * * [simplify]: Extracting #2: cost 6 inf + 0 496.338 * * [simplify]: Extracting #3: cost 10 inf + 0 496.338 * * [simplify]: Extracting #4: cost 22 inf + 0 496.338 * * [simplify]: Extracting #5: cost 136 inf + 0 496.339 * * [simplify]: Extracting #6: cost 277 inf + 44 496.340 * * [simplify]: Extracting #7: cost 287 inf + 2295 496.343 * * [simplify]: Extracting #8: cost 217 inf + 13413 496.349 * * [simplify]: Extracting #9: cost 127 inf + 43253 496.365 * * [simplify]: Extracting #10: cost 38 inf + 83739 496.384 * * [simplify]: Extracting #11: cost 4 inf + 105376 496.404 * * [simplify]: Extracting #12: cost 0 inf + 110436 496.424 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) 496.424 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 496.425 * * * * [progress]: [ 1598 / 4754 ] simplifiying candidate # 496.425 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 496.426 * * [simplify]: iters left: 6 (46 enodes) 496.437 * * [simplify]: iters left: 5 (228 enodes) 496.490 * * [simplify]: Extracting #0: cost 1 inf + 0 496.490 * * [simplify]: Extracting #1: cost 3 inf + 0 496.490 * * [simplify]: Extracting #2: cost 6 inf + 0 496.490 * * [simplify]: Extracting #3: cost 10 inf + 0 496.490 * * [simplify]: Extracting #4: cost 24 inf + 0 496.490 * * [simplify]: Extracting #5: cost 135 inf + 0 496.491 * * [simplify]: Extracting #6: cost 249 inf + 1 496.492 * * [simplify]: Extracting #7: cost 267 inf + 1111 496.495 * * [simplify]: Extracting #8: cost 169 inf + 22608 496.502 * * [simplify]: Extracting #9: cost 124 inf + 37409 496.517 * * [simplify]: Extracting #10: cost 37 inf + 77471 496.534 * * [simplify]: Extracting #11: cost 3 inf + 100189 496.553 * * [simplify]: Extracting #12: cost 0 inf + 104144 496.572 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 496.572 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 496.573 * * * * [progress]: [ 1599 / 4754 ] simplifiying candidate # 496.573 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 496.573 * * [simplify]: iters left: 6 (48 enodes) 496.586 * * [simplify]: iters left: 5 (240 enodes) 496.643 * * [simplify]: Extracting #0: cost 1 inf + 0 496.643 * * [simplify]: Extracting #1: cost 3 inf + 0 496.643 * * [simplify]: Extracting #2: cost 6 inf + 0 496.643 * * [simplify]: Extracting #3: cost 10 inf + 0 496.643 * * [simplify]: Extracting #4: cost 24 inf + 0 496.644 * * [simplify]: Extracting #5: cost 145 inf + 0 496.644 * * [simplify]: Extracting #6: cost 276 inf + 44 496.645 * * [simplify]: Extracting #7: cost 284 inf + 2258 496.648 * * [simplify]: Extracting #8: cost 211 inf + 13865 496.654 * * [simplify]: Extracting #9: cost 132 inf + 37185 496.669 * * [simplify]: Extracting #10: cost 33 inf + 80798 496.687 * * [simplify]: Extracting #11: cost 2 inf + 101107 496.706 * * [simplify]: Extracting #12: cost 0 inf + 104477 496.724 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 496.724 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 496.725 * * * * [progress]: [ 1600 / 4754 ] simplifiying candidate # 496.725 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 496.726 * * [simplify]: iters left: 6 (47 enodes) 496.738 * * [simplify]: iters left: 5 (231 enodes) 496.790 * * [simplify]: Extracting #0: cost 1 inf + 0 496.790 * * [simplify]: Extracting #1: cost 3 inf + 0 496.790 * * [simplify]: Extracting #2: cost 6 inf + 0 496.790 * * [simplify]: Extracting #3: cost 10 inf + 0 496.790 * * [simplify]: Extracting #4: cost 24 inf + 0 496.790 * * [simplify]: Extracting #5: cost 136 inf + 0 496.791 * * [simplify]: Extracting #6: cost 249 inf + 42 496.792 * * [simplify]: Extracting #7: cost 265 inf + 1395 496.795 * * [simplify]: Extracting #8: cost 165 inf + 23415 496.802 * * [simplify]: Extracting #9: cost 103 inf + 45343 496.818 * * [simplify]: Extracting #10: cost 18 inf + 90899 496.838 * * [simplify]: Extracting #11: cost 1 inf + 103443 496.857 * * [simplify]: Extracting #12: cost 0 inf + 105148 496.876 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 496.876 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 496.877 * * * * [progress]: [ 1601 / 4754 ] simplifiying candidate # 496.877 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 496.877 * * [simplify]: iters left: 6 (48 enodes) 496.890 * * [simplify]: iters left: 5 (240 enodes) 496.946 * * [simplify]: Extracting #0: cost 1 inf + 0 496.946 * * [simplify]: Extracting #1: cost 3 inf + 0 496.946 * * [simplify]: Extracting #2: cost 6 inf + 0 496.946 * * [simplify]: Extracting #3: cost 10 inf + 0 496.946 * * [simplify]: Extracting #4: cost 24 inf + 0 496.946 * * [simplify]: Extracting #5: cost 144 inf + 0 496.947 * * [simplify]: Extracting #6: cost 276 inf + 44 496.948 * * [simplify]: Extracting #7: cost 284 inf + 2258 496.950 * * [simplify]: Extracting #8: cost 211 inf + 13865 496.956 * * [simplify]: Extracting #9: cost 132 inf + 37265 496.970 * * [simplify]: Extracting #10: cost 33 inf + 81371 496.992 * * [simplify]: Extracting #11: cost 2 inf + 101347 497.011 * * [simplify]: Extracting #12: cost 0 inf + 104717 497.030 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 497.030 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 497.031 * * * * [progress]: [ 1602 / 4754 ] simplifiying candidate # 497.031 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 497.031 * * [simplify]: iters left: 6 (48 enodes) 497.044 * * [simplify]: iters left: 5 (239 enodes) 497.100 * * [simplify]: Extracting #0: cost 1 inf + 0 497.100 * * [simplify]: Extracting #1: cost 3 inf + 0 497.100 * * [simplify]: Extracting #2: cost 6 inf + 0 497.100 * * [simplify]: Extracting #3: cost 10 inf + 0 497.100 * * [simplify]: Extracting #4: cost 20 inf + 0 497.101 * * [simplify]: Extracting #5: cost 128 inf + 0 497.101 * * [simplify]: Extracting #6: cost 275 inf + 1 497.102 * * [simplify]: Extracting #7: cost 311 inf + 1355 497.105 * * [simplify]: Extracting #8: cost 224 inf + 15021 497.112 * * [simplify]: Extracting #9: cost 135 inf + 43647 497.127 * * [simplify]: Extracting #10: cost 39 inf + 86674 497.149 * * [simplify]: Extracting #11: cost 4 inf + 108307 497.170 * * [simplify]: Extracting #12: cost 1 inf + 112422 497.196 * * [simplify]: Extracting #13: cost 0 inf + 114087 497.216 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 497.216 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 497.217 * * * * [progress]: [ 1603 / 4754 ] simplifiying candidate # 497.217 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 497.218 * * [simplify]: iters left: 6 (49 enodes) 497.232 * * [simplify]: iters left: 5 (247 enodes) 497.288 * * [simplify]: Extracting #0: cost 1 inf + 0 497.288 * * [simplify]: Extracting #1: cost 3 inf + 0 497.288 * * [simplify]: Extracting #2: cost 6 inf + 0 497.288 * * [simplify]: Extracting #3: cost 10 inf + 0 497.288 * * [simplify]: Extracting #4: cost 20 inf + 0 497.288 * * [simplify]: Extracting #5: cost 131 inf + 0 497.289 * * [simplify]: Extracting #6: cost 294 inf + 1 497.290 * * [simplify]: Extracting #7: cost 323 inf + 1641 497.298 * * [simplify]: Extracting #8: cost 176 inf + 35745 497.314 * * [simplify]: Extracting #9: cost 49 inf + 91598 497.333 * * [simplify]: Extracting #10: cost 7 inf + 112072 497.355 * * [simplify]: Extracting #11: cost 0 inf + 114942 497.376 * * [simplify]: Extracting #12: cost 0 inf + 114862 497.398 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 497.398 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 497.398 * * * * [progress]: [ 1604 / 4754 ] simplifiying candidate # 497.399 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 497.399 * * [simplify]: iters left: 6 (49 enodes) 497.412 * * [simplify]: iters left: 5 (247 enodes) 497.471 * * [simplify]: Extracting #0: cost 1 inf + 0 497.471 * * [simplify]: Extracting #1: cost 3 inf + 0 497.471 * * [simplify]: Extracting #2: cost 6 inf + 0 497.471 * * [simplify]: Extracting #3: cost 10 inf + 0 497.471 * * [simplify]: Extracting #4: cost 20 inf + 0 497.471 * * [simplify]: Extracting #5: cost 134 inf + 0 497.472 * * [simplify]: Extracting #6: cost 295 inf + 1 497.473 * * [simplify]: Extracting #7: cost 321 inf + 1274 497.477 * * [simplify]: Extracting #8: cost 215 inf + 19880 497.485 * * [simplify]: Extracting #9: cost 137 inf + 43802 497.501 * * [simplify]: Extracting #10: cost 34 inf + 89437 497.520 * * [simplify]: Extracting #11: cost 2 inf + 111183 497.544 * * [simplify]: Extracting #12: cost 0 inf + 113153 497.564 * * [simplify]: Extracting #13: cost 0 inf + 112793 497.585 * * [simplify]: Extracting #14: cost 0 inf + 112713 497.605 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 497.605 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 497.606 * * * * [progress]: [ 1605 / 4754 ] simplifiying candidate # 497.606 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 497.607 * * [simplify]: iters left: 6 (49 enodes) 497.621 * * [simplify]: iters left: 5 (245 enodes) 497.676 * * [simplify]: Extracting #0: cost 1 inf + 0 497.676 * * [simplify]: Extracting #1: cost 3 inf + 0 497.676 * * [simplify]: Extracting #2: cost 6 inf + 0 497.676 * * [simplify]: Extracting #3: cost 10 inf + 0 497.676 * * [simplify]: Extracting #4: cost 22 inf + 0 497.676 * * [simplify]: Extracting #5: cost 133 inf + 0 497.677 * * [simplify]: Extracting #6: cost 275 inf + 44 497.678 * * [simplify]: Extracting #7: cost 268 inf + 5014 497.683 * * [simplify]: Extracting #8: cost 167 inf + 29206 497.698 * * [simplify]: Extracting #9: cost 54 inf + 75302 497.715 * * [simplify]: Extracting #10: cost 10 inf + 96352 497.733 * * [simplify]: Extracting #11: cost 2 inf + 100258 497.752 * * [simplify]: Extracting #12: cost 0 inf + 103428 497.771 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 497.771 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 497.772 * * * * [progress]: [ 1606 / 4754 ] simplifiying candidate # 497.772 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 497.773 * * [simplify]: iters left: 6 (46 enodes) 497.786 * * [simplify]: iters left: 5 (231 enodes) 497.839 * * [simplify]: Extracting #0: cost 1 inf + 0 497.839 * * [simplify]: Extracting #1: cost 3 inf + 0 497.840 * * [simplify]: Extracting #2: cost 6 inf + 0 497.840 * * [simplify]: Extracting #3: cost 10 inf + 0 497.840 * * [simplify]: Extracting #4: cost 24 inf + 0 497.840 * * [simplify]: Extracting #5: cost 134 inf + 0 497.840 * * [simplify]: Extracting #6: cost 257 inf + 1 497.841 * * [simplify]: Extracting #7: cost 274 inf + 1555 497.849 * * [simplify]: Extracting #8: cost 144 inf + 33552 497.861 * * [simplify]: Extracting #9: cost 48 inf + 75520 497.879 * * [simplify]: Extracting #10: cost 9 inf + 94602 497.897 * * [simplify]: Extracting #11: cost 0 inf + 101984 497.916 * * [simplify]: Extracting #12: cost 0 inf + 101784 497.936 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 497.936 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 497.937 * * * * [progress]: [ 1607 / 4754 ] simplifiying candidate # 497.937 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 497.937 * * [simplify]: iters left: 6 (48 enodes) 497.949 * * [simplify]: iters left: 5 (241 enodes) 498.006 * * [simplify]: Extracting #0: cost 1 inf + 0 498.006 * * [simplify]: Extracting #1: cost 3 inf + 0 498.006 * * [simplify]: Extracting #2: cost 6 inf + 0 498.006 * * [simplify]: Extracting #3: cost 10 inf + 0 498.006 * * [simplify]: Extracting #4: cost 24 inf + 0 498.006 * * [simplify]: Extracting #5: cost 142 inf + 0 498.007 * * [simplify]: Extracting #6: cost 274 inf + 44 498.008 * * [simplify]: Extracting #7: cost 277 inf + 3592 498.011 * * [simplify]: Extracting #8: cost 178 inf + 20348 498.020 * * [simplify]: Extracting #9: cost 79 inf + 57643 498.037 * * [simplify]: Extracting #10: cost 11 inf + 91568 498.055 * * [simplify]: Extracting #11: cost 0 inf + 98109 498.073 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 498.073 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 498.074 * * * * [progress]: [ 1608 / 4754 ] simplifiying candidate # 498.074 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 498.074 * * [simplify]: iters left: 6 (47 enodes) 498.088 * * [simplify]: iters left: 5 (233 enodes) 498.143 * * [simplify]: Extracting #0: cost 1 inf + 0 498.143 * * [simplify]: Extracting #1: cost 3 inf + 0 498.143 * * [simplify]: Extracting #2: cost 6 inf + 0 498.143 * * [simplify]: Extracting #3: cost 10 inf + 0 498.143 * * [simplify]: Extracting #4: cost 24 inf + 0 498.144 * * [simplify]: Extracting #5: cost 134 inf + 0 498.144 * * [simplify]: Extracting #6: cost 257 inf + 1 498.145 * * [simplify]: Extracting #7: cost 273 inf + 1395 498.149 * * [simplify]: Extracting #8: cost 155 inf + 28246 498.163 * * [simplify]: Extracting #9: cost 73 inf + 65640 498.180 * * [simplify]: Extracting #10: cost 9 inf + 95518 498.198 * * [simplify]: Extracting #11: cost 1 inf + 100679 498.217 * * [simplify]: Extracting #12: cost 0 inf + 102424 498.236 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))))))) 498.236 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 498.237 * * * * [progress]: [ 1609 / 4754 ] simplifiying candidate # 498.237 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 498.237 * * [simplify]: iters left: 6 (48 enodes) 498.251 * * [simplify]: iters left: 5 (241 enodes) 498.305 * * [simplify]: Extracting #0: cost 1 inf + 0 498.305 * * [simplify]: Extracting #1: cost 3 inf + 0 498.305 * * [simplify]: Extracting #2: cost 6 inf + 0 498.305 * * [simplify]: Extracting #3: cost 10 inf + 0 498.305 * * [simplify]: Extracting #4: cost 24 inf + 0 498.306 * * [simplify]: Extracting #5: cost 141 inf + 0 498.306 * * [simplify]: Extracting #6: cost 274 inf + 44 498.308 * * [simplify]: Extracting #7: cost 277 inf + 3592 498.313 * * [simplify]: Extracting #8: cost 178 inf + 20467 498.322 * * [simplify]: Extracting #9: cost 78 inf + 58085 498.338 * * [simplify]: Extracting #10: cost 15 inf + 90256 498.357 * * [simplify]: Extracting #11: cost 0 inf + 98349 498.375 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 498.375 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 498.375 * * * * [progress]: [ 1610 / 4754 ] simplifiying candidate # 498.376 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 498.376 * * [simplify]: iters left: 6 (48 enodes) 498.388 * * [simplify]: iters left: 5 (239 enodes) 498.446 * * [simplify]: Extracting #0: cost 1 inf + 0 498.446 * * [simplify]: Extracting #1: cost 3 inf + 0 498.446 * * [simplify]: Extracting #2: cost 6 inf + 0 498.446 * * [simplify]: Extracting #3: cost 10 inf + 0 498.446 * * [simplify]: Extracting #4: cost 20 inf + 0 498.446 * * [simplify]: Extracting #5: cost 132 inf + 0 498.447 * * [simplify]: Extracting #6: cost 279 inf + 42 498.448 * * [simplify]: Extracting #7: cost 311 inf + 2081 498.452 * * [simplify]: Extracting #8: cost 216 inf + 19017 498.459 * * [simplify]: Extracting #9: cost 133 inf + 46756 498.477 * * [simplify]: Extracting #10: cost 44 inf + 89006 498.498 * * [simplify]: Extracting #11: cost 1 inf + 119146 498.520 * * [simplify]: Extracting #12: cost 0 inf + 120851 498.542 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 498.542 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 498.542 * * * * [progress]: [ 1611 / 4754 ] simplifiying candidate # 498.543 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 498.543 * * [simplify]: iters left: 6 (49 enodes) 498.557 * * [simplify]: iters left: 5 (247 enodes) 498.613 * * [simplify]: Extracting #0: cost 1 inf + 0 498.613 * * [simplify]: Extracting #1: cost 3 inf + 0 498.613 * * [simplify]: Extracting #2: cost 6 inf + 0 498.613 * * [simplify]: Extracting #3: cost 10 inf + 0 498.613 * * [simplify]: Extracting #4: cost 20 inf + 0 498.614 * * [simplify]: Extracting #5: cost 135 inf + 0 498.614 * * [simplify]: Extracting #6: cost 299 inf + 1 498.615 * * [simplify]: Extracting #7: cost 328 inf + 2081 498.622 * * [simplify]: Extracting #8: cost 202 inf + 26375 498.635 * * [simplify]: Extracting #9: cost 73 inf + 79606 498.655 * * [simplify]: Extracting #10: cost 7 inf + 115972 498.677 * * [simplify]: Extracting #11: cost 0 inf + 121746 498.699 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 498.699 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 498.700 * * * * [progress]: [ 1612 / 4754 ] simplifiying candidate # 498.700 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 498.700 * * [simplify]: iters left: 6 (49 enodes) 498.714 * * [simplify]: iters left: 5 (247 enodes) 498.772 * * [simplify]: Extracting #0: cost 1 inf + 0 498.772 * * [simplify]: Extracting #1: cost 3 inf + 0 498.772 * * [simplify]: Extracting #2: cost 6 inf + 0 498.772 * * [simplify]: Extracting #3: cost 10 inf + 0 498.772 * * [simplify]: Extracting #4: cost 20 inf + 0 498.772 * * [simplify]: Extracting #5: cost 138 inf + 0 498.773 * * [simplify]: Extracting #6: cost 301 inf + 1 498.774 * * [simplify]: Extracting #7: cost 322 inf + 2326 498.779 * * [simplify]: Extracting #8: cost 222 inf + 20507 498.787 * * [simplify]: Extracting #9: cost 142 inf + 45311 498.802 * * [simplify]: Extracting #10: cost 43 inf + 89521 498.823 * * [simplify]: Extracting #11: cost 3 inf + 116427 498.844 * * [simplify]: Extracting #12: cost 0 inf + 120142 498.867 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) 498.867 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 498.868 * * * * [progress]: [ 1613 / 4754 ] simplifiying candidate # 498.868 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 498.868 * * [simplify]: iters left: 6 (49 enodes) 498.881 * * [simplify]: iters left: 5 (245 enodes) 498.938 * * [simplify]: Extracting #0: cost 1 inf + 0 498.938 * * [simplify]: Extracting #1: cost 3 inf + 0 498.938 * * [simplify]: Extracting #2: cost 6 inf + 0 498.938 * * [simplify]: Extracting #3: cost 10 inf + 0 498.938 * * [simplify]: Extracting #4: cost 22 inf + 0 498.938 * * [simplify]: Extracting #5: cost 137 inf + 0 498.939 * * [simplify]: Extracting #6: cost 283 inf + 44 498.940 * * [simplify]: Extracting #7: cost 287 inf + 3388 498.943 * * [simplify]: Extracting #8: cost 215 inf + 15355 498.950 * * [simplify]: Extracting #9: cost 122 inf + 45612 498.963 * * [simplify]: Extracting #10: cost 37 inf + 82974 498.982 * * [simplify]: Extracting #11: cost 3 inf + 106051 499.002 * * [simplify]: Extracting #12: cost 0 inf + 110566 499.024 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) 499.024 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.025 * * * * [progress]: [ 1614 / 4754 ] simplifiying candidate # 499.025 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 499.025 * * [simplify]: iters left: 6 (46 enodes) 499.037 * * [simplify]: iters left: 5 (230 enodes) 499.094 * * [simplify]: Extracting #0: cost 1 inf + 0 499.094 * * [simplify]: Extracting #1: cost 3 inf + 0 499.094 * * [simplify]: Extracting #2: cost 6 inf + 0 499.094 * * [simplify]: Extracting #3: cost 10 inf + 0 499.094 * * [simplify]: Extracting #4: cost 24 inf + 0 499.094 * * [simplify]: Extracting #5: cost 139 inf + 0 499.095 * * [simplify]: Extracting #6: cost 262 inf + 1 499.096 * * [simplify]: Extracting #7: cost 279 inf + 1393 499.100 * * [simplify]: Extracting #8: cost 161 inf + 29806 499.113 * * [simplify]: Extracting #9: cost 51 inf + 78367 499.132 * * [simplify]: Extracting #10: cost 3 inf + 105166 499.151 * * [simplify]: Extracting #11: cost 0 inf + 108348 499.173 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 499.173 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- phi1 phi2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.174 * * * * [progress]: [ 1615 / 4754 ] simplifiying candidate # 499.174 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 499.174 * * [simplify]: iters left: 6 (48 enodes) 499.187 * * [simplify]: iters left: 5 (241 enodes) 499.240 * * [simplify]: Extracting #0: cost 1 inf + 0 499.240 * * [simplify]: Extracting #1: cost 3 inf + 0 499.240 * * [simplify]: Extracting #2: cost 6 inf + 0 499.240 * * [simplify]: Extracting #3: cost 10 inf + 0 499.243 * * [simplify]: Extracting #4: cost 24 inf + 0 499.243 * * [simplify]: Extracting #5: cost 146 inf + 0 499.244 * * [simplify]: Extracting #6: cost 280 inf + 44 499.245 * * [simplify]: Extracting #7: cost 285 inf + 3221 499.248 * * [simplify]: Extracting #8: cost 207 inf + 16685 499.254 * * [simplify]: Extracting #9: cost 126 inf + 41299 499.267 * * [simplify]: Extracting #10: cost 32 inf + 83334 499.285 * * [simplify]: Extracting #11: cost 3 inf + 102202 499.304 * * [simplify]: Extracting #12: cost 0 inf + 104477 499.323 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 499.323 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.324 * * * * [progress]: [ 1616 / 4754 ] simplifiying candidate # 499.324 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 499.325 * * [simplify]: iters left: 6 (47 enodes) 499.337 * * [simplify]: iters left: 5 (233 enodes) 499.391 * * [simplify]: Extracting #0: cost 1 inf + 0 499.391 * * [simplify]: Extracting #1: cost 3 inf + 0 499.392 * * [simplify]: Extracting #2: cost 6 inf + 0 499.392 * * [simplify]: Extracting #3: cost 10 inf + 0 499.392 * * [simplify]: Extracting #4: cost 24 inf + 0 499.392 * * [simplify]: Extracting #5: cost 140 inf + 0 499.393 * * [simplify]: Extracting #6: cost 263 inf + 1 499.396 * * [simplify]: Extracting #7: cost 278 inf + 1756 499.399 * * [simplify]: Extracting #8: cost 191 inf + 20899 499.406 * * [simplify]: Extracting #9: cost 140 inf + 38324 499.418 * * [simplify]: Extracting #10: cost 36 inf + 81078 499.437 * * [simplify]: Extracting #11: cost 3 inf + 104037 499.457 * * [simplify]: Extracting #12: cost 1 inf + 107407 499.477 * * [simplify]: Extracting #13: cost 0 inf + 109112 499.498 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 499.498 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.498 * * * * [progress]: [ 1617 / 4754 ] simplifiying candidate # 499.499 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 499.499 * * [simplify]: iters left: 6 (48 enodes) 499.511 * * [simplify]: iters left: 5 (241 enodes) 499.567 * * [simplify]: Extracting #0: cost 1 inf + 0 499.567 * * [simplify]: Extracting #1: cost 3 inf + 0 499.567 * * [simplify]: Extracting #2: cost 6 inf + 0 499.567 * * [simplify]: Extracting #3: cost 10 inf + 0 499.567 * * [simplify]: Extracting #4: cost 24 inf + 0 499.568 * * [simplify]: Extracting #5: cost 145 inf + 0 499.568 * * [simplify]: Extracting #6: cost 280 inf + 44 499.569 * * [simplify]: Extracting #7: cost 285 inf + 3221 499.572 * * [simplify]: Extracting #8: cost 207 inf + 16685 499.579 * * [simplify]: Extracting #9: cost 128 inf + 40791 499.592 * * [simplify]: Extracting #10: cost 32 inf + 83907 499.610 * * [simplify]: Extracting #11: cost 3 inf + 102442 499.631 * * [simplify]: Extracting #12: cost 0 inf + 104717 499.650 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 499.650 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.650 * * * * [progress]: [ 1618 / 4754 ] simplifiying candidate # 499.651 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 499.651 * * [simplify]: iters left: 6 (48 enodes) 499.663 * * [simplify]: iters left: 5 (239 enodes) 499.723 * * [simplify]: Extracting #0: cost 1 inf + 0 499.723 * * [simplify]: Extracting #1: cost 3 inf + 0 499.723 * * [simplify]: Extracting #2: cost 6 inf + 0 499.723 * * [simplify]: Extracting #3: cost 10 inf + 0 499.723 * * [simplify]: Extracting #4: cost 20 inf + 0 499.723 * * [simplify]: Extracting #5: cost 127 inf + 0 499.724 * * [simplify]: Extracting #6: cost 272 inf + 42 499.725 * * [simplify]: Extracting #7: cost 309 inf + 1272 499.728 * * [simplify]: Extracting #8: cost 217 inf + 17891 499.735 * * [simplify]: Extracting #9: cost 130 inf + 45040 499.750 * * [simplify]: Extracting #10: cost 43 inf + 84294 499.770 * * [simplify]: Extracting #11: cost 0 inf + 114207 499.794 * * [simplify]: Extracting #12: cost 0 inf + 114127 499.815 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 499.815 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.816 * * * * [progress]: [ 1619 / 4754 ] simplifiying candidate # 499.816 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 499.816 * * [simplify]: iters left: 6 (49 enodes) 499.829 * * [simplify]: iters left: 5 (247 enodes) 499.887 * * [simplify]: Extracting #0: cost 1 inf + 0 499.887 * * [simplify]: Extracting #1: cost 3 inf + 0 499.887 * * [simplify]: Extracting #2: cost 6 inf + 0 499.887 * * [simplify]: Extracting #3: cost 10 inf + 0 499.887 * * [simplify]: Extracting #4: cost 20 inf + 0 499.887 * * [simplify]: Extracting #5: cost 130 inf + 0 499.888 * * [simplify]: Extracting #6: cost 292 inf + 1 499.889 * * [simplify]: Extracting #7: cost 324 inf + 1720 499.894 * * [simplify]: Extracting #8: cost 184 inf + 32495 499.908 * * [simplify]: Extracting #9: cost 58 inf + 84333 499.928 * * [simplify]: Extracting #10: cost 8 inf + 110838 499.952 * * [simplify]: Extracting #11: cost 0 inf + 114502 499.973 * * [simplify]: Extracting #12: cost 0 inf + 114422 499.995 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 499.995 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 499.996 * * * * [progress]: [ 1620 / 4754 ] simplifiying candidate # 499.996 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 499.996 * * [simplify]: iters left: 6 (49 enodes) 500.010 * * [simplify]: iters left: 5 (247 enodes) 500.069 * * [simplify]: Extracting #0: cost 1 inf + 0 500.069 * * [simplify]: Extracting #1: cost 3 inf + 0 500.069 * * [simplify]: Extracting #2: cost 6 inf + 0 500.069 * * [simplify]: Extracting #3: cost 10 inf + 0 500.069 * * [simplify]: Extracting #4: cost 20 inf + 0 500.069 * * [simplify]: Extracting #5: cost 133 inf + 0 500.070 * * [simplify]: Extracting #6: cost 294 inf + 1 500.071 * * [simplify]: Extracting #7: cost 319 inf + 1841 500.075 * * [simplify]: Extracting #8: cost 217 inf + 19718 500.082 * * [simplify]: Extracting #9: cost 140 inf + 42953 500.097 * * [simplify]: Extracting #10: cost 35 inf + 88891 500.119 * * [simplify]: Extracting #11: cost 2 inf + 111208 500.139 * * [simplify]: Extracting #12: cost 0 inf + 113538 500.160 * * [simplify]: Extracting #13: cost 0 inf + 112818 500.181 * * [simplify]: Extracting #14: cost 0 inf + 112738 500.202 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 500.202 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 500.203 * * * * [progress]: [ 1621 / 4754 ] simplifiying candidate # 500.203 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 500.203 * * [simplify]: iters left: 6 (49 enodes) 500.216 * * [simplify]: iters left: 5 (245 enodes) 500.274 * * [simplify]: Extracting #0: cost 1 inf + 0 500.274 * * [simplify]: Extracting #1: cost 3 inf + 0 500.274 * * [simplify]: Extracting #2: cost 6 inf + 0 500.274 * * [simplify]: Extracting #3: cost 10 inf + 0 500.274 * * [simplify]: Extracting #4: cost 22 inf + 0 500.274 * * [simplify]: Extracting #5: cost 132 inf + 0 500.275 * * [simplify]: Extracting #6: cost 276 inf + 2 500.276 * * [simplify]: Extracting #7: cost 286 inf + 2938 500.279 * * [simplify]: Extracting #8: cost 186 inf + 23188 500.290 * * [simplify]: Extracting #9: cost 73 inf + 64616 500.308 * * [simplify]: Extracting #10: cost 11 inf + 98203 500.327 * * [simplify]: Extracting #11: cost 0 inf + 104638 500.350 * * [simplify]: Extracting #12: cost 0 inf + 103998 500.370 * * [simplify]: Extracting #13: cost 0 inf + 103918 500.389 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 500.389 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 500.390 * * * * [progress]: [ 1622 / 4754 ] simplifiying candidate # 500.390 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 500.390 * * [simplify]: iters left: 6 (46 enodes) 500.402 * * [simplify]: iters left: 5 (231 enodes) 500.455 * * [simplify]: Extracting #0: cost 1 inf + 0 500.455 * * [simplify]: Extracting #1: cost 3 inf + 0 500.455 * * [simplify]: Extracting #2: cost 6 inf + 0 500.455 * * [simplify]: Extracting #3: cost 10 inf + 0 500.456 * * [simplify]: Extracting #4: cost 24 inf + 0 500.456 * * [simplify]: Extracting #5: cost 130 inf + 0 500.456 * * [simplify]: Extracting #6: cost 252 inf + 1 500.457 * * [simplify]: Extracting #7: cost 273 inf + 988 500.460 * * [simplify]: Extracting #8: cost 185 inf + 18938 500.466 * * [simplify]: Extracting #9: cost 136 inf + 33906 500.479 * * [simplify]: Extracting #10: cost 37 inf + 76955 500.499 * * [simplify]: Extracting #11: cost 2 inf + 98963 500.518 * * [simplify]: Extracting #12: cost 0 inf + 100613 500.536 * * [simplify]: Extracting #13: cost 0 inf + 100573 500.555 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 500.555 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 500.556 * * * * [progress]: [ 1623 / 4754 ] simplifiying candidate # 500.556 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 500.556 * * [simplify]: iters left: 6 (48 enodes) 500.569 * * [simplify]: iters left: 5 (241 enodes) 500.623 * * [simplify]: Extracting #0: cost 1 inf + 0 500.623 * * [simplify]: Extracting #1: cost 3 inf + 0 500.623 * * [simplify]: Extracting #2: cost 6 inf + 0 500.623 * * [simplify]: Extracting #3: cost 10 inf + 0 500.623 * * [simplify]: Extracting #4: cost 24 inf + 0 500.624 * * [simplify]: Extracting #5: cost 141 inf + 0 500.624 * * [simplify]: Extracting #6: cost 272 inf + 44 500.625 * * [simplify]: Extracting #7: cost 275 inf + 3956 500.629 * * [simplify]: Extracting #8: cost 182 inf + 19977 500.638 * * [simplify]: Extracting #9: cost 71 inf + 60484 500.658 * * [simplify]: Extracting #10: cost 11 inf + 91517 500.676 * * [simplify]: Extracting #11: cost 0 inf + 98149 500.694 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 500.694 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 500.695 * * * * [progress]: [ 1624 / 4754 ] simplifiying candidate # 500.695 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 500.695 * * [simplify]: iters left: 6 (47 enodes) 500.707 * * [simplify]: iters left: 5 (233 enodes) 500.762 * * [simplify]: Extracting #0: cost 1 inf + 0 500.762 * * [simplify]: Extracting #1: cost 3 inf + 0 500.762 * * [simplify]: Extracting #2: cost 6 inf + 0 500.762 * * [simplify]: Extracting #3: cost 10 inf + 0 500.762 * * [simplify]: Extracting #4: cost 24 inf + 0 500.762 * * [simplify]: Extracting #5: cost 130 inf + 0 500.763 * * [simplify]: Extracting #6: cost 252 inf + 1 500.764 * * [simplify]: Extracting #7: cost 271 inf + 1392 500.767 * * [simplify]: Extracting #8: cost 183 inf + 19540 500.773 * * [simplify]: Extracting #9: cost 140 inf + 32389 500.785 * * [simplify]: Extracting #10: cost 44 inf + 74009 500.803 * * [simplify]: Extracting #11: cost 5 inf + 95888 500.823 * * [simplify]: Extracting #12: cost 1 inf + 100028 500.842 * * [simplify]: Extracting #13: cost 0 inf + 101133 500.861 * * [simplify]: Extracting #14: cost 0 inf + 101053 500.880 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 500.880 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (- phi1 phi2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 500.880 * * * * [progress]: [ 1625 / 4754 ] simplifiying candidate # 500.880 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 500.881 * * [simplify]: iters left: 6 (48 enodes) 500.895 * * [simplify]: iters left: 5 (241 enodes) 500.953 * * [simplify]: Extracting #0: cost 1 inf + 0 500.953 * * [simplify]: Extracting #1: cost 3 inf + 0 500.953 * * [simplify]: Extracting #2: cost 6 inf + 0 500.953 * * [simplify]: Extracting #3: cost 10 inf + 0 500.953 * * [simplify]: Extracting #4: cost 24 inf + 0 500.953 * * [simplify]: Extracting #5: cost 140 inf + 0 500.954 * * [simplify]: Extracting #6: cost 272 inf + 44 500.955 * * [simplify]: Extracting #7: cost 275 inf + 3956 500.958 * * [simplify]: Extracting #8: cost 182 inf + 20360 500.970 * * [simplify]: Extracting #9: cost 71 inf + 60724 500.986 * * [simplify]: Extracting #10: cost 11 inf + 91344 501.004 * * [simplify]: Extracting #11: cost 0 inf + 98389 501.022 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 501.022 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 501.023 * * * * [progress]: [ 1626 / 4754 ] simplifiying candidate # 501.023 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 501.023 * * [simplify]: iters left: 6 (47 enodes) 501.035 * * [simplify]: iters left: 5 (238 enodes) 501.092 * * [simplify]: Extracting #0: cost 1 inf + 0 501.092 * * [simplify]: Extracting #1: cost 3 inf + 0 501.092 * * [simplify]: Extracting #2: cost 6 inf + 0 501.092 * * [simplify]: Extracting #3: cost 10 inf + 0 501.092 * * [simplify]: Extracting #4: cost 20 inf + 0 501.092 * * [simplify]: Extracting #5: cost 122 inf + 0 501.092 * * [simplify]: Extracting #6: cost 263 inf + 3 501.093 * * [simplify]: Extracting #7: cost 277 inf + 1823 501.097 * * [simplify]: Extracting #8: cost 181 inf + 20483 501.103 * * [simplify]: Extracting #9: cost 111 inf + 42459 501.115 * * [simplify]: Extracting #10: cost 34 inf + 73905 501.133 * * [simplify]: Extracting #11: cost 4 inf + 89610 501.150 * * [simplify]: Extracting #12: cost 1 inf + 93594 501.167 * * [simplify]: Extracting #13: cost 0 inf + 95157 501.185 * * [simplify]: Extracting #14: cost 0 inf + 95066 501.203 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 501.203 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 501.204 * * * * [progress]: [ 1627 / 4754 ] simplifiying candidate # 501.204 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 501.204 * * [simplify]: iters left: 6 (47 enodes) 501.217 * * [simplify]: iters left: 5 (236 enodes) 501.271 * * [simplify]: Extracting #0: cost 1 inf + 0 501.271 * * [simplify]: Extracting #1: cost 3 inf + 0 501.271 * * [simplify]: Extracting #2: cost 6 inf + 0 501.271 * * [simplify]: Extracting #3: cost 10 inf + 0 501.271 * * [simplify]: Extracting #4: cost 23 inf + 0 501.272 * * [simplify]: Extracting #5: cost 129 inf + 0 501.272 * * [simplify]: Extracting #6: cost 264 inf + 1 501.273 * * [simplify]: Extracting #7: cost 276 inf + 1642 501.276 * * [simplify]: Extracting #8: cost 176 inf + 21122 501.284 * * [simplify]: Extracting #9: cost 123 inf + 36616 501.296 * * [simplify]: Extracting #10: cost 35 inf + 70316 501.312 * * [simplify]: Extracting #11: cost 5 inf + 87546 501.328 * * [simplify]: Extracting #12: cost 0 inf + 92231 501.345 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 501.345 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 501.346 * * * * [progress]: [ 1628 / 4754 ] simplifiying candidate # 501.346 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 501.346 * * [simplify]: iters left: 6 (48 enodes) 501.359 * * [simplify]: iters left: 5 (253 enodes) 501.419 * * [simplify]: Extracting #0: cost 1 inf + 0 501.419 * * [simplify]: Extracting #1: cost 3 inf + 0 501.419 * * [simplify]: Extracting #2: cost 6 inf + 0 501.419 * * [simplify]: Extracting #3: cost 10 inf + 0 501.419 * * [simplify]: Extracting #4: cost 20 inf + 0 501.420 * * [simplify]: Extracting #5: cost 130 inf + 0 501.420 * * [simplify]: Extracting #6: cost 299 inf + 86 501.422 * * [simplify]: Extracting #7: cost 323 inf + 6502 501.433 * * [simplify]: Extracting #8: cost 133 inf + 60522 501.453 * * [simplify]: Extracting #9: cost 28 inf + 107525 501.474 * * [simplify]: Extracting #10: cost 2 inf + 120041 501.497 * * [simplify]: Extracting #11: cost 0 inf + 123331 501.520 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 501.521 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 501.521 * * * * [progress]: [ 1629 / 4754 ] simplifiying candidate # 501.522 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 501.522 * * [simplify]: iters left: 6 (48 enodes) 501.535 * * [simplify]: iters left: 5 (251 enodes) 501.597 * * [simplify]: Extracting #0: cost 1 inf + 0 501.598 * * [simplify]: Extracting #1: cost 3 inf + 0 501.598 * * [simplify]: Extracting #2: cost 6 inf + 0 501.598 * * [simplify]: Extracting #3: cost 10 inf + 0 501.598 * * [simplify]: Extracting #4: cost 20 inf + 0 501.598 * * [simplify]: Extracting #5: cost 125 inf + 0 501.598 * * [simplify]: Extracting #6: cost 291 inf + 86 501.600 * * [simplify]: Extracting #7: cost 317 inf + 5492 501.609 * * [simplify]: Extracting #8: cost 130 inf + 56773 501.629 * * [simplify]: Extracting #9: cost 22 inf + 108492 501.650 * * [simplify]: Extracting #10: cost 4 inf + 113804 501.673 * * [simplify]: Extracting #11: cost 0 inf + 116647 501.695 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 501.695 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 501.695 * * * * [progress]: [ 1630 / 4754 ] simplifiying candidate # 501.696 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 501.696 * * [simplify]: iters left: 6 (48 enodes) 501.709 * * [simplify]: iters left: 5 (251 enodes) 501.770 * * [simplify]: Extracting #0: cost 1 inf + 0 501.770 * * [simplify]: Extracting #1: cost 3 inf + 0 501.770 * * [simplify]: Extracting #2: cost 6 inf + 0 501.770 * * [simplify]: Extracting #3: cost 10 inf + 0 501.770 * * [simplify]: Extracting #4: cost 20 inf + 0 501.770 * * [simplify]: Extracting #5: cost 128 inf + 0 501.771 * * [simplify]: Extracting #6: cost 289 inf + 86 501.772 * * [simplify]: Extracting #7: cost 308 inf + 5337 501.777 * * [simplify]: Extracting #8: cost 186 inf + 29510 501.788 * * [simplify]: Extracting #9: cost 92 inf + 65622 501.806 * * [simplify]: Extracting #10: cost 12 inf + 102477 501.829 * * [simplify]: Extracting #11: cost 3 inf + 108632 501.849 * * [simplify]: Extracting #12: cost 0 inf + 113707 501.871 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 501.871 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 501.871 * * * * [progress]: [ 1631 / 4754 ] simplifiying candidate # 501.872 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 501.872 * * [simplify]: iters left: 6 (42 enodes) 501.884 * * [simplify]: iters left: 5 (218 enodes) 501.935 * * [simplify]: Extracting #0: cost 1 inf + 0 501.935 * * [simplify]: Extracting #1: cost 3 inf + 0 501.935 * * [simplify]: Extracting #2: cost 6 inf + 0 501.935 * * [simplify]: Extracting #3: cost 10 inf + 0 501.935 * * [simplify]: Extracting #4: cost 20 inf + 0 501.936 * * [simplify]: Extracting #5: cost 124 inf + 0 501.936 * * [simplify]: Extracting #6: cost 261 inf + 86 501.938 * * [simplify]: Extracting #7: cost 269 inf + 5327 501.942 * * [simplify]: Extracting #8: cost 161 inf + 26070 501.950 * * [simplify]: Extracting #9: cost 97 inf + 48459 501.965 * * [simplify]: Extracting #10: cost 14 inf + 84236 501.986 * * [simplify]: Extracting #11: cost 1 inf + 94535 502.004 * * [simplify]: Extracting #12: cost 0 inf + 95920 502.022 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 502.022 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 502.023 * * * * [progress]: [ 1632 / 4754 ] simplifiying candidate # 502.023 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 502.024 * * [simplify]: iters left: 6 (47 enodes) 502.036 * * [simplify]: iters left: 5 (245 enodes) 502.095 * * [simplify]: Extracting #0: cost 1 inf + 0 502.095 * * [simplify]: Extracting #1: cost 3 inf + 0 502.095 * * [simplify]: Extracting #2: cost 6 inf + 0 502.095 * * [simplify]: Extracting #3: cost 10 inf + 0 502.095 * * [simplify]: Extracting #4: cost 24 inf + 0 502.095 * * [simplify]: Extracting #5: cost 144 inf + 0 502.096 * * [simplify]: Extracting #6: cost 283 inf + 127 502.097 * * [simplify]: Extracting #7: cost 288 inf + 5896 502.102 * * [simplify]: Extracting #8: cost 179 inf + 29941 502.111 * * [simplify]: Extracting #9: cost 112 inf + 52274 502.127 * * [simplify]: Extracting #10: cost 32 inf + 88312 502.148 * * [simplify]: Extracting #11: cost 3 inf + 104568 502.168 * * [simplify]: Extracting #12: cost 1 inf + 107938 502.189 * * [simplify]: Extracting #13: cost 0 inf + 109643 502.210 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 502.210 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 502.211 * * * * [progress]: [ 1633 / 4754 ] simplifiying candidate # 502.211 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 502.211 * * [simplify]: iters left: 6 (40 enodes) 502.224 * * [simplify]: iters left: 5 (205 enodes) 502.269 * * [simplify]: Extracting #0: cost 1 inf + 0 502.269 * * [simplify]: Extracting #1: cost 3 inf + 0 502.269 * * [simplify]: Extracting #2: cost 6 inf + 0 502.269 * * [simplify]: Extracting #3: cost 10 inf + 0 502.270 * * [simplify]: Extracting #4: cost 24 inf + 0 502.270 * * [simplify]: Extracting #5: cost 119 inf + 0 502.270 * * [simplify]: Extracting #6: cost 230 inf + 86 502.271 * * [simplify]: Extracting #7: cost 237 inf + 5131 502.276 * * [simplify]: Extracting #8: cost 112 inf + 32923 502.290 * * [simplify]: Extracting #9: cost 18 inf + 73193 502.308 * * [simplify]: Extracting #10: cost 3 inf + 81888 502.324 * * [simplify]: Extracting #11: cost 0 inf + 84430 502.341 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)))))) 502.341 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 502.342 * * * * [progress]: [ 1634 / 4754 ] simplifiying candidate # 502.342 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 502.342 * * [simplify]: iters left: 6 (47 enodes) 502.354 * * [simplify]: iters left: 5 (245 enodes) 502.412 * * [simplify]: Extracting #0: cost 1 inf + 0 502.412 * * [simplify]: Extracting #1: cost 3 inf + 0 502.412 * * [simplify]: Extracting #2: cost 6 inf + 0 502.412 * * [simplify]: Extracting #3: cost 10 inf + 0 502.412 * * [simplify]: Extracting #4: cost 24 inf + 0 502.413 * * [simplify]: Extracting #5: cost 144 inf + 0 502.413 * * [simplify]: Extracting #6: cost 283 inf + 127 502.415 * * [simplify]: Extracting #7: cost 288 inf + 5978 502.420 * * [simplify]: Extracting #8: cost 179 inf + 30341 502.429 * * [simplify]: Extracting #9: cost 111 inf + 53339 502.447 * * [simplify]: Extracting #10: cost 32 inf + 88952 502.467 * * [simplify]: Extracting #11: cost 3 inf + 105208 502.486 * * [simplify]: Extracting #12: cost 1 inf + 108578 502.507 * * [simplify]: Extracting #13: cost 0 inf + 110283 502.528 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 502.528 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 502.529 * * * * [progress]: [ 1635 / 4754 ] simplifiying candidate # 502.529 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 502.530 * * [simplify]: iters left: 6 (41 enodes) 502.541 * * [simplify]: iters left: 5 (208 enodes) 502.587 * * [simplify]: Extracting #0: cost 1 inf + 0 502.587 * * [simplify]: Extracting #1: cost 3 inf + 0 502.587 * * [simplify]: Extracting #2: cost 6 inf + 0 502.587 * * [simplify]: Extracting #3: cost 10 inf + 0 502.587 * * [simplify]: Extracting #4: cost 24 inf + 0 502.587 * * [simplify]: Extracting #5: cost 118 inf + 0 502.588 * * [simplify]: Extracting #6: cost 230 inf + 86 502.589 * * [simplify]: Extracting #7: cost 237 inf + 4924 502.593 * * [simplify]: Extracting #8: cost 128 inf + 28811 502.603 * * [simplify]: Extracting #9: cost 84 inf + 42905 502.616 * * [simplify]: Extracting #10: cost 15 inf + 71832 502.632 * * [simplify]: Extracting #11: cost 2 inf + 82140 502.648 * * [simplify]: Extracting #12: cost 0 inf + 84870 502.665 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 502.665 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 502.666 * * * * [progress]: [ 1636 / 4754 ] simplifiying candidate # 502.666 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 502.666 * * [simplify]: iters left: 6 (48 enodes) 502.679 * * [simplify]: iters left: 5 (245 enodes) 502.739 * * [simplify]: Extracting #0: cost 1 inf + 0 502.739 * * [simplify]: Extracting #1: cost 3 inf + 0 502.739 * * [simplify]: Extracting #2: cost 6 inf + 0 502.739 * * [simplify]: Extracting #3: cost 10 inf + 0 502.739 * * [simplify]: Extracting #4: cost 20 inf + 0 502.739 * * [simplify]: Extracting #5: cost 141 inf + 0 502.740 * * [simplify]: Extracting #6: cost 285 inf + 86 502.742 * * [simplify]: Extracting #7: cost 310 inf + 5090 502.748 * * [simplify]: Extracting #8: cost 163 inf + 40385 502.768 * * [simplify]: Extracting #9: cost 47 inf + 96153 502.790 * * [simplify]: Extracting #10: cost 4 inf + 115508 502.812 * * [simplify]: Extracting #11: cost 1 inf + 119010 502.837 * * [simplify]: Extracting #12: cost 0 inf + 120675 502.860 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 502.861 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 502.861 * * * * [progress]: [ 1637 / 4754 ] simplifiying candidate # 502.862 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 502.862 * * [simplify]: iters left: 6 (48 enodes) 502.875 * * [simplify]: iters left: 5 (247 enodes) 502.939 * * [simplify]: Extracting #0: cost 1 inf + 0 502.939 * * [simplify]: Extracting #1: cost 3 inf + 0 502.939 * * [simplify]: Extracting #2: cost 6 inf + 0 502.939 * * [simplify]: Extracting #3: cost 10 inf + 0 502.939 * * [simplify]: Extracting #4: cost 20 inf + 0 502.939 * * [simplify]: Extracting #5: cost 138 inf + 0 502.940 * * [simplify]: Extracting #6: cost 293 inf + 86 502.942 * * [simplify]: Extracting #7: cost 312 inf + 5657 502.947 * * [simplify]: Extracting #8: cost 185 inf + 35075 502.959 * * [simplify]: Extracting #9: cost 97 inf + 66434 502.977 * * [simplify]: Extracting #10: cost 21 inf + 101877 503.000 * * [simplify]: Extracting #11: cost 1 inf + 120175 503.026 * * [simplify]: Extracting #12: cost 0 inf + 122080 503.049 * [simplify]: Simplified to (sqrt (* (cbrt (+ (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* phi1 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 503.049 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* phi1 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.050 * * * * [progress]: [ 1638 / 4754 ] simplifiying candidate # 503.050 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 503.050 * * [simplify]: iters left: 6 (48 enodes) 503.063 * * [simplify]: iters left: 5 (247 enodes) 503.126 * * [simplify]: Extracting #0: cost 1 inf + 0 503.126 * * [simplify]: Extracting #1: cost 3 inf + 0 503.126 * * [simplify]: Extracting #2: cost 6 inf + 0 503.126 * * [simplify]: Extracting #3: cost 10 inf + 0 503.126 * * [simplify]: Extracting #4: cost 20 inf + 0 503.126 * * [simplify]: Extracting #5: cost 154 inf + 0 503.127 * * [simplify]: Extracting #6: cost 292 inf + 86 503.129 * * [simplify]: Extracting #7: cost 311 inf + 4527 503.135 * * [simplify]: Extracting #8: cost 171 inf + 35162 503.151 * * [simplify]: Extracting #9: cost 53 inf + 87866 503.177 * * [simplify]: Extracting #10: cost 5 inf + 113306 503.198 * * [simplify]: Extracting #11: cost 1 inf + 117260 503.221 * * [simplify]: Extracting #12: cost 0 inf + 119045 503.243 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 503.243 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.244 * * * * [progress]: [ 1639 / 4754 ] simplifiying candidate # 503.244 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 503.245 * * [simplify]: iters left: 6 (42 enodes) 503.258 * * [simplify]: iters left: 5 (211 enodes) 503.308 * * [simplify]: Extracting #0: cost 1 inf + 0 503.309 * * [simplify]: Extracting #1: cost 3 inf + 0 503.309 * * [simplify]: Extracting #2: cost 6 inf + 0 503.309 * * [simplify]: Extracting #3: cost 10 inf + 0 503.309 * * [simplify]: Extracting #4: cost 20 inf + 0 503.309 * * [simplify]: Extracting #5: cost 146 inf + 0 503.310 * * [simplify]: Extracting #6: cost 255 inf + 86 503.311 * * [simplify]: Extracting #7: cost 256 inf + 4933 503.315 * * [simplify]: Extracting #8: cost 157 inf + 25403 503.325 * * [simplify]: Extracting #9: cost 108 inf + 40750 503.338 * * [simplify]: Extracting #10: cost 35 inf + 71444 503.355 * * [simplify]: Extracting #11: cost 6 inf + 89756 503.373 * * [simplify]: Extracting #12: cost 2 inf + 95096 503.392 * * [simplify]: Extracting #13: cost 0 inf + 97506 503.412 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 503.412 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.412 * * * * [progress]: [ 1640 / 4754 ] simplifiying candidate # 503.413 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 503.413 * * [simplify]: iters left: 6 (47 enodes) 503.426 * * [simplify]: iters left: 5 (241 enodes) 503.489 * * [simplify]: Extracting #0: cost 1 inf + 0 503.489 * * [simplify]: Extracting #1: cost 3 inf + 0 503.489 * * [simplify]: Extracting #2: cost 6 inf + 0 503.489 * * [simplify]: Extracting #3: cost 10 inf + 0 503.489 * * [simplify]: Extracting #4: cost 28 inf + 0 503.490 * * [simplify]: Extracting #5: cost 182 inf + 0 503.491 * * [simplify]: Extracting #6: cost 298 inf + 127 503.493 * * [simplify]: Extracting #7: cost 290 inf + 7520 503.498 * * [simplify]: Extracting #8: cost 198 inf + 26968 503.507 * * [simplify]: Extracting #9: cost 130 inf + 51806 503.523 * * [simplify]: Extracting #10: cost 43 inf + 94785 503.544 * * [simplify]: Extracting #11: cost 3 inf + 118839 503.568 * * [simplify]: Extracting #12: cost 1 inf + 121529 503.590 * * [simplify]: Extracting #13: cost 0 inf + 123234 503.612 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 503.612 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.613 * * * * [progress]: [ 1641 / 4754 ] simplifiying candidate # 503.613 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 503.614 * * [simplify]: iters left: 6 (40 enodes) 503.625 * * [simplify]: iters left: 5 (202 enodes) 503.669 * * [simplify]: Extracting #0: cost 1 inf + 0 503.669 * * [simplify]: Extracting #1: cost 4 inf + 0 503.669 * * [simplify]: Extracting #2: cost 7 inf + 0 503.669 * * [simplify]: Extracting #3: cost 14 inf + 0 503.670 * * [simplify]: Extracting #4: cost 87 inf + 0 503.670 * * [simplify]: Extracting #5: cost 185 inf + 2 503.671 * * [simplify]: Extracting #6: cost 201 inf + 2450 503.674 * * [simplify]: Extracting #7: cost 98 inf + 22615 503.684 * * [simplify]: Extracting #8: cost 21 inf + 50638 503.696 * * [simplify]: Extracting #9: cost 2 inf + 60900 503.708 * * [simplify]: Extracting #10: cost 0 inf + 62830 503.720 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2))))) 503.720 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.723 * * * * [progress]: [ 1642 / 4754 ] simplifiying candidate # 503.723 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 503.724 * * [simplify]: iters left: 6 (47 enodes) 503.737 * * [simplify]: iters left: 5 (241 enodes) 503.801 * * [simplify]: Extracting #0: cost 1 inf + 0 503.801 * * [simplify]: Extracting #1: cost 3 inf + 0 503.801 * * [simplify]: Extracting #2: cost 6 inf + 0 503.801 * * [simplify]: Extracting #3: cost 10 inf + 0 503.801 * * [simplify]: Extracting #4: cost 28 inf + 0 503.802 * * [simplify]: Extracting #5: cost 183 inf + 0 503.803 * * [simplify]: Extracting #6: cost 305 inf + 127 503.805 * * [simplify]: Extracting #7: cost 298 inf + 7681 503.811 * * [simplify]: Extracting #8: cost 206 inf + 28689 503.821 * * [simplify]: Extracting #9: cost 112 inf + 63993 503.840 * * [simplify]: Extracting #10: cost 27 inf + 106028 503.863 * * [simplify]: Extracting #11: cost 3 inf + 121983 503.888 * * [simplify]: Extracting #12: cost 0 inf + 126298 503.911 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.912 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 503.912 * * * * [progress]: [ 1643 / 4754 ] simplifiying candidate # 503.912 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 503.913 * * [simplify]: iters left: 6 (41 enodes) 503.924 * * [simplify]: iters left: 5 (205 enodes) 503.969 * * [simplify]: Extracting #0: cost 1 inf + 0 503.969 * * [simplify]: Extracting #1: cost 4 inf + 0 503.969 * * [simplify]: Extracting #2: cost 7 inf + 0 503.969 * * [simplify]: Extracting #3: cost 14 inf + 0 503.969 * * [simplify]: Extracting #4: cost 91 inf + 0 503.969 * * [simplify]: Extracting #5: cost 190 inf + 44 503.970 * * [simplify]: Extracting #6: cost 202 inf + 2821 503.974 * * [simplify]: Extracting #7: cost 114 inf + 19885 503.979 * * [simplify]: Extracting #8: cost 70 inf + 33177 503.990 * * [simplify]: Extracting #9: cost 9 inf + 57509 504.003 * * [simplify]: Extracting #10: cost 0 inf + 65414 504.016 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) 504.016 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.017 * * * * [progress]: [ 1644 / 4754 ] simplifiying candidate # 504.017 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 504.017 * * [simplify]: iters left: 6 (46 enodes) 504.029 * * [simplify]: iters left: 5 (231 enodes) 504.085 * * [simplify]: Extracting #0: cost 1 inf + 0 504.085 * * [simplify]: Extracting #1: cost 3 inf + 0 504.085 * * [simplify]: Extracting #2: cost 6 inf + 0 504.085 * * [simplify]: Extracting #3: cost 10 inf + 0 504.086 * * [simplify]: Extracting #4: cost 20 inf + 0 504.086 * * [simplify]: Extracting #5: cost 120 inf + 0 504.086 * * [simplify]: Extracting #6: cost 252 inf + 86 504.088 * * [simplify]: Extracting #7: cost 277 inf + 3390 504.092 * * [simplify]: Extracting #8: cost 159 inf + 29604 504.106 * * [simplify]: Extracting #9: cost 58 inf + 76017 504.128 * * [simplify]: Extracting #10: cost 11 inf + 96097 504.145 * * [simplify]: Extracting #11: cost 7 inf + 97238 504.165 * * [simplify]: Extracting #12: cost 3 inf + 103058 504.185 * * [simplify]: Extracting #13: cost 0 inf + 107733 504.207 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 504.207 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.208 * * * * [progress]: [ 1645 / 4754 ] simplifiying candidate # 504.208 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 504.208 * * [simplify]: iters left: 6 (46 enodes) 504.221 * * [simplify]: iters left: 5 (233 enodes) 504.278 * * [simplify]: Extracting #0: cost 1 inf + 0 504.278 * * [simplify]: Extracting #1: cost 3 inf + 0 504.278 * * [simplify]: Extracting #2: cost 6 inf + 0 504.279 * * [simplify]: Extracting #3: cost 10 inf + 0 504.279 * * [simplify]: Extracting #4: cost 20 inf + 0 504.279 * * [simplify]: Extracting #5: cost 117 inf + 0 504.279 * * [simplify]: Extracting #6: cost 259 inf + 86 504.281 * * [simplify]: Extracting #7: cost 278 inf + 3758 504.284 * * [simplify]: Extracting #8: cost 186 inf + 19014 504.291 * * [simplify]: Extracting #9: cost 120 inf + 41872 504.305 * * [simplify]: Extracting #10: cost 31 inf + 84493 504.325 * * [simplify]: Extracting #11: cost 2 inf + 103724 504.345 * * [simplify]: Extracting #12: cost 0 inf + 106854 504.366 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 504.366 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.367 * * * * [progress]: [ 1646 / 4754 ] simplifiying candidate # 504.367 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 504.367 * * [simplify]: iters left: 6 (46 enodes) 504.380 * * [simplify]: iters left: 5 (232 enodes) 504.438 * * [simplify]: Extracting #0: cost 1 inf + 0 504.438 * * [simplify]: Extracting #1: cost 3 inf + 0 504.438 * * [simplify]: Extracting #2: cost 6 inf + 0 504.438 * * [simplify]: Extracting #3: cost 10 inf + 0 504.438 * * [simplify]: Extracting #4: cost 20 inf + 0 504.438 * * [simplify]: Extracting #5: cost 121 inf + 0 504.439 * * [simplify]: Extracting #6: cost 253 inf + 44 504.440 * * [simplify]: Extracting #7: cost 277 inf + 2213 504.444 * * [simplify]: Extracting #8: cost 175 inf + 19978 504.452 * * [simplify]: Extracting #9: cost 111 inf + 41731 504.467 * * [simplify]: Extracting #10: cost 20 inf + 83479 504.485 * * [simplify]: Extracting #11: cost 0 inf + 100029 504.504 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 504.504 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.505 * * * * [progress]: [ 1647 / 4754 ] simplifiying candidate # 504.505 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 504.505 * * [simplify]: iters left: 6 (40 enodes) 504.518 * * [simplify]: iters left: 5 (196 enodes) 504.561 * * [simplify]: Extracting #0: cost 1 inf + 0 504.561 * * [simplify]: Extracting #1: cost 3 inf + 0 504.561 * * [simplify]: Extracting #2: cost 6 inf + 0 504.561 * * [simplify]: Extracting #3: cost 10 inf + 0 504.561 * * [simplify]: Extracting #4: cost 20 inf + 0 504.561 * * [simplify]: Extracting #5: cost 112 inf + 0 504.562 * * [simplify]: Extracting #6: cost 214 inf + 86 504.563 * * [simplify]: Extracting #7: cost 207 inf + 5290 504.567 * * [simplify]: Extracting #8: cost 133 inf + 20495 504.573 * * [simplify]: Extracting #9: cost 87 inf + 35065 504.583 * * [simplify]: Extracting #10: cost 36 inf + 57517 504.599 * * [simplify]: Extracting #11: cost 8 inf + 72430 504.614 * * [simplify]: Extracting #12: cost 3 inf + 76209 504.629 * * [simplify]: Extracting #13: cost 0 inf + 80444 504.644 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))) 504.644 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.645 * * * * [progress]: [ 1648 / 4754 ] simplifiying candidate # 504.645 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 504.645 * * [simplify]: iters left: 6 (45 enodes) 504.658 * * [simplify]: iters left: 5 (226 enodes) 504.712 * * [simplify]: Extracting #0: cost 1 inf + 0 504.712 * * [simplify]: Extracting #1: cost 3 inf + 0 504.712 * * [simplify]: Extracting #2: cost 6 inf + 0 504.712 * * [simplify]: Extracting #3: cost 10 inf + 0 504.712 * * [simplify]: Extracting #4: cost 24 inf + 0 504.712 * * [simplify]: Extracting #5: cost 137 inf + 0 504.713 * * [simplify]: Extracting #6: cost 247 inf + 85 504.714 * * [simplify]: Extracting #7: cost 243 inf + 4848 504.720 * * [simplify]: Extracting #8: cost 120 inf + 36050 504.733 * * [simplify]: Extracting #9: cost 43 inf + 74738 504.753 * * [simplify]: Extracting #10: cost 6 inf + 91742 504.772 * * [simplify]: Extracting #11: cost 1 inf + 97414 504.791 * * [simplify]: Extracting #12: cost 0 inf + 98839 504.809 * * [simplify]: Extracting #13: cost 0 inf + 98719 504.828 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.828 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 504.829 * * * * [progress]: [ 1649 / 4754 ] simplifiying candidate # 504.829 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 504.829 * * [simplify]: iters left: 6 (34 enodes) 504.840 * * [simplify]: iters left: 5 (162 enodes) 504.874 * * [simplify]: iters left: 4 (462 enodes) 505.099 * * [simplify]: Extracting #0: cost 1 inf + 0 505.099 * * [simplify]: Extracting #1: cost 4 inf + 0 505.099 * * [simplify]: Extracting #2: cost 7 inf + 0 505.099 * * [simplify]: Extracting #3: cost 18 inf + 0 505.100 * * [simplify]: Extracting #4: cost 243 inf + 0 505.101 * * [simplify]: Extracting #5: cost 611 inf + 208 505.111 * * [simplify]: Extracting #6: cost 660 inf + 18700 505.128 * * [simplify]: Extracting #7: cost 376 inf + 88724 505.160 * * [simplify]: Extracting #8: cost 196 inf + 158834 505.209 * * [simplify]: Extracting #9: cost 30 inf + 234993 505.262 * * [simplify]: Extracting #10: cost 7 inf + 246116 505.315 * * [simplify]: Extracting #11: cost 0 inf + 250674 505.371 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))))) 505.371 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 505.372 * * * * [progress]: [ 1650 / 4754 ] simplifiying candidate # 505.372 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 505.372 * * [simplify]: iters left: 6 (45 enodes) 505.384 * * [simplify]: iters left: 5 (227 enodes) 505.439 * * [simplify]: Extracting #0: cost 1 inf + 0 505.440 * * [simplify]: Extracting #1: cost 3 inf + 0 505.440 * * [simplify]: Extracting #2: cost 6 inf + 0 505.440 * * [simplify]: Extracting #3: cost 10 inf + 0 505.440 * * [simplify]: Extracting #4: cost 24 inf + 0 505.440 * * [simplify]: Extracting #5: cost 136 inf + 0 505.440 * * [simplify]: Extracting #6: cost 251 inf + 127 505.442 * * [simplify]: Extracting #7: cost 242 inf + 5779 505.446 * * [simplify]: Extracting #8: cost 170 inf + 21207 505.453 * * [simplify]: Extracting #9: cost 99 inf + 46808 505.467 * * [simplify]: Extracting #10: cost 30 inf + 77747 505.484 * * [simplify]: Extracting #11: cost 5 inf + 92730 505.502 * * [simplify]: Extracting #12: cost 1 inf + 98870 505.522 * * [simplify]: Extracting #13: cost 0 inf + 100535 505.540 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 505.540 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 505.541 * * * * [progress]: [ 1651 / 4754 ] simplifiying candidate # 505.541 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 505.541 * * [simplify]: iters left: 6 (38 enodes) 505.552 * * [simplify]: iters left: 5 (179 enodes) 505.587 * * [simplify]: iters left: 4 (498 enodes) 505.834 * * [simplify]: Extracting #0: cost 1 inf + 0 505.834 * * [simplify]: Extracting #1: cost 4 inf + 0 505.834 * * [simplify]: Extracting #2: cost 7 inf + 0 505.834 * * [simplify]: Extracting #3: cost 21 inf + 0 505.835 * * [simplify]: Extracting #4: cost 246 inf + 0 505.837 * * [simplify]: Extracting #5: cost 661 inf + 208 505.844 * * [simplify]: Extracting #6: cost 669 inf + 25622 505.867 * * [simplify]: Extracting #7: cost 409 inf + 88535 505.900 * * [simplify]: Extracting #8: cost 237 inf + 149772 505.952 * * [simplify]: Extracting #9: cost 35 inf + 239558 506.010 * * [simplify]: Extracting #10: cost 0 inf + 259279 506.067 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) 506.067 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.067 * * * * [progress]: [ 1652 / 4754 ] simplifiying candidate # 506.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 506.068 * * [simplify]: iters left: 6 (48 enodes) 506.081 * * [simplify]: iters left: 5 (254 enodes) 506.144 * * [simplify]: Extracting #0: cost 1 inf + 0 506.144 * * [simplify]: Extracting #1: cost 3 inf + 0 506.144 * * [simplify]: Extracting #2: cost 6 inf + 0 506.145 * * [simplify]: Extracting #3: cost 10 inf + 0 506.145 * * [simplify]: Extracting #4: cost 20 inf + 0 506.145 * * [simplify]: Extracting #5: cost 130 inf + 0 506.145 * * [simplify]: Extracting #6: cost 292 inf + 86 506.147 * * [simplify]: Extracting #7: cost 316 inf + 3426 506.151 * * [simplify]: Extracting #8: cost 225 inf + 19489 506.158 * * [simplify]: Extracting #9: cost 139 inf + 44175 506.177 * * [simplify]: Extracting #10: cost 29 inf + 90363 506.197 * * [simplify]: Extracting #11: cost 3 inf + 106547 506.217 * * [simplify]: Extracting #12: cost 0 inf + 110702 506.238 * * [simplify]: Extracting #13: cost 0 inf + 110622 506.259 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 506.259 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.260 * * * * [progress]: [ 1653 / 4754 ] simplifiying candidate # 506.260 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 506.262 * * [simplify]: iters left: 6 (48 enodes) 506.275 * * [simplify]: iters left: 5 (252 enodes) 506.342 * * [simplify]: Extracting #0: cost 1 inf + 0 506.342 * * [simplify]: Extracting #1: cost 3 inf + 0 506.342 * * [simplify]: Extracting #2: cost 6 inf + 0 506.342 * * [simplify]: Extracting #3: cost 10 inf + 0 506.342 * * [simplify]: Extracting #4: cost 20 inf + 0 506.342 * * [simplify]: Extracting #5: cost 125 inf + 0 506.343 * * [simplify]: Extracting #6: cost 286 inf + 44 506.344 * * [simplify]: Extracting #7: cost 310 inf + 3062 506.349 * * [simplify]: Extracting #8: cost 183 inf + 28705 506.362 * * [simplify]: Extracting #9: cost 65 inf + 71080 506.379 * * [simplify]: Extracting #10: cost 13 inf + 93540 506.399 * * [simplify]: Extracting #11: cost 0 inf + 105262 506.421 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.421 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.422 * * * * [progress]: [ 1654 / 4754 ] simplifiying candidate # 506.422 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 506.422 * * [simplify]: iters left: 6 (48 enodes) 506.436 * * [simplify]: iters left: 5 (252 enodes) 506.499 * * [simplify]: Extracting #0: cost 1 inf + 0 506.500 * * [simplify]: Extracting #1: cost 3 inf + 0 506.500 * * [simplify]: Extracting #2: cost 6 inf + 0 506.500 * * [simplify]: Extracting #3: cost 10 inf + 0 506.500 * * [simplify]: Extracting #4: cost 20 inf + 0 506.500 * * [simplify]: Extracting #5: cost 128 inf + 0 506.501 * * [simplify]: Extracting #6: cost 284 inf + 86 506.502 * * [simplify]: Extracting #7: cost 296 inf + 4278 506.507 * * [simplify]: Extracting #8: cost 163 inf + 34301 506.521 * * [simplify]: Extracting #9: cost 47 inf + 79411 506.540 * * [simplify]: Extracting #10: cost 5 inf + 102716 506.561 * * [simplify]: Extracting #11: cost 0 inf + 103667 506.582 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* lambda1 (* lambda1 lambda1)) (* (- (* lambda2 lambda2)) lambda2)))) (+ phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 506.582 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* lambda1 (* lambda1 lambda1)) (* (- (* lambda2 lambda2)) lambda2)))) (+ phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.582 * * * * [progress]: [ 1655 / 4754 ] simplifiying candidate # 506.583 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 506.583 * * [simplify]: iters left: 6 (42 enodes) 506.595 * * [simplify]: iters left: 5 (220 enodes) 506.647 * * [simplify]: Extracting #0: cost 1 inf + 0 506.647 * * [simplify]: Extracting #1: cost 3 inf + 0 506.648 * * [simplify]: Extracting #2: cost 6 inf + 0 506.648 * * [simplify]: Extracting #3: cost 10 inf + 0 506.648 * * [simplify]: Extracting #4: cost 20 inf + 0 506.648 * * [simplify]: Extracting #5: cost 123 inf + 0 506.653 * * [simplify]: Extracting #6: cost 257 inf + 86 506.655 * * [simplify]: Extracting #7: cost 253 inf + 4487 506.659 * * [simplify]: Extracting #8: cost 160 inf + 23015 506.666 * * [simplify]: Extracting #9: cost 104 inf + 38501 506.678 * * [simplify]: Extracting #10: cost 24 inf + 71030 506.694 * * [simplify]: Extracting #11: cost 4 inf + 82330 506.712 * * [simplify]: Extracting #12: cost 0 inf + 85324 506.728 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 506.728 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.729 * * * * [progress]: [ 1656 / 4754 ] simplifiying candidate # 506.729 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 506.730 * * [simplify]: iters left: 6 (47 enodes) 506.743 * * [simplify]: iters left: 5 (246 enodes) 506.802 * * [simplify]: Extracting #0: cost 1 inf + 0 506.802 * * [simplify]: Extracting #1: cost 3 inf + 0 506.802 * * [simplify]: Extracting #2: cost 6 inf + 0 506.802 * * [simplify]: Extracting #3: cost 10 inf + 0 506.802 * * [simplify]: Extracting #4: cost 24 inf + 0 506.802 * * [simplify]: Extracting #5: cost 144 inf + 0 506.803 * * [simplify]: Extracting #6: cost 277 inf + 86 506.804 * * [simplify]: Extracting #7: cost 270 inf + 5375 506.811 * * [simplify]: Extracting #8: cost 178 inf + 23176 506.819 * * [simplify]: Extracting #9: cost 112 inf + 45636 506.834 * * [simplify]: Extracting #10: cost 21 inf + 83984 506.852 * * [simplify]: Extracting #11: cost 3 inf + 93379 506.870 * * [simplify]: Extracting #12: cost 0 inf + 98334 506.889 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 506.889 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 506.890 * * * * [progress]: [ 1657 / 4754 ] simplifiying candidate # 506.890 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 506.891 * * [simplify]: iters left: 6 (40 enodes) 506.902 * * [simplify]: iters left: 5 (208 enodes) 506.950 * * [simplify]: Extracting #0: cost 1 inf + 0 506.950 * * [simplify]: Extracting #1: cost 3 inf + 0 506.951 * * [simplify]: Extracting #2: cost 6 inf + 0 506.951 * * [simplify]: Extracting #3: cost 10 inf + 0 506.951 * * [simplify]: Extracting #4: cost 24 inf + 0 506.951 * * [simplify]: Extracting #5: cost 118 inf + 0 506.952 * * [simplify]: Extracting #6: cost 226 inf + 86 506.953 * * [simplify]: Extracting #7: cost 214 inf + 5095 506.957 * * [simplify]: Extracting #8: cost 118 inf + 26356 506.973 * * [simplify]: Extracting #9: cost 24 inf + 62577 506.987 * * [simplify]: Extracting #10: cost 14 inf + 67362 507.002 * * [simplify]: Extracting #11: cost 5 inf + 72200 507.017 * * [simplify]: Extracting #12: cost 0 inf + 76619 507.032 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 507.032 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 507.033 * * * * [progress]: [ 1658 / 4754 ] simplifiying candidate # 507.033 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 507.034 * * [simplify]: iters left: 6 (47 enodes) 507.047 * * [simplify]: iters left: 5 (246 enodes) 507.105 * * [simplify]: Extracting #0: cost 1 inf + 0 507.105 * * [simplify]: Extracting #1: cost 3 inf + 0 507.105 * * [simplify]: Extracting #2: cost 6 inf + 0 507.105 * * [simplify]: Extracting #3: cost 10 inf + 0 507.105 * * [simplify]: Extracting #4: cost 24 inf + 0 507.105 * * [simplify]: Extracting #5: cost 144 inf + 0 507.106 * * [simplify]: Extracting #6: cost 277 inf + 86 507.107 * * [simplify]: Extracting #7: cost 269 inf + 5417 507.111 * * [simplify]: Extracting #8: cost 182 inf + 22280 507.121 * * [simplify]: Extracting #9: cost 116 inf + 44841 507.137 * * [simplify]: Extracting #10: cost 21 inf + 84624 507.155 * * [simplify]: Extracting #11: cost 3 inf + 94019 507.173 * * [simplify]: Extracting #12: cost 0 inf + 98974 507.192 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 507.192 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 507.192 * * * * [progress]: [ 1659 / 4754 ] simplifiying candidate # 507.193 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 507.193 * * [simplify]: iters left: 6 (41 enodes) 507.206 * * [simplify]: iters left: 5 (210 enodes) 507.253 * * [simplify]: Extracting #0: cost 1 inf + 0 507.253 * * [simplify]: Extracting #1: cost 3 inf + 0 507.253 * * [simplify]: Extracting #2: cost 6 inf + 0 507.253 * * [simplify]: Extracting #3: cost 10 inf + 0 507.253 * * [simplify]: Extracting #4: cost 24 inf + 0 507.253 * * [simplify]: Extracting #5: cost 118 inf + 0 507.254 * * [simplify]: Extracting #6: cost 227 inf + 86 507.255 * * [simplify]: Extracting #7: cost 221 inf + 3958 507.259 * * [simplify]: Extracting #8: cost 130 inf + 23045 507.269 * * [simplify]: Extracting #9: cost 35 inf + 58087 507.288 * * [simplify]: Extracting #10: cost 14 inf + 67926 507.302 * * [simplify]: Extracting #11: cost 3 inf + 74361 507.318 * * [simplify]: Extracting #12: cost 0 inf + 77223 507.333 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 507.333 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 507.334 * * * * [progress]: [ 1660 / 4754 ] simplifiying candidate # 507.334 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 507.334 * * [simplify]: iters left: 6 (49 enodes) 507.348 * * [simplify]: iters left: 5 (244 enodes) 507.405 * * [simplify]: Extracting #0: cost 1 inf + 0 507.405 * * [simplify]: Extracting #1: cost 3 inf + 0 507.405 * * [simplify]: Extracting #2: cost 6 inf + 0 507.405 * * [simplify]: Extracting #3: cost 10 inf + 0 507.405 * * [simplify]: Extracting #4: cost 20 inf + 0 507.405 * * [simplify]: Extracting #5: cost 125 inf + 0 507.406 * * [simplify]: Extracting #6: cost 272 inf + 86 507.407 * * [simplify]: Extracting #7: cost 289 inf + 4201 507.412 * * [simplify]: Extracting #8: cost 188 inf + 24051 507.420 * * [simplify]: Extracting #9: cost 127 inf + 43950 507.437 * * [simplify]: Extracting #10: cost 30 inf + 91258 507.457 * * [simplify]: Extracting #11: cost 3 inf + 107466 507.478 * * [simplify]: Extracting #12: cost 0 inf + 111661 507.498 * * [simplify]: Extracting #13: cost 0 inf + 111421 507.519 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 507.519 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 507.520 * * * * [progress]: [ 1661 / 4754 ] simplifiying candidate # 507.520 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 507.520 * * [simplify]: iters left: 6 (49 enodes) 507.535 * * [simplify]: iters left: 5 (246 enodes) 507.593 * * [simplify]: Extracting #0: cost 1 inf + 0 507.593 * * [simplify]: Extracting #1: cost 3 inf + 0 507.593 * * [simplify]: Extracting #2: cost 6 inf + 0 507.593 * * [simplify]: Extracting #3: cost 10 inf + 0 507.593 * * [simplify]: Extracting #4: cost 20 inf + 0 507.593 * * [simplify]: Extracting #5: cost 126 inf + 0 507.594 * * [simplify]: Extracting #6: cost 282 inf + 86 507.599 * * [simplify]: Extracting #7: cost 277 inf + 6997 507.604 * * [simplify]: Extracting #8: cost 172 inf + 28802 507.615 * * [simplify]: Extracting #9: cost 93 inf + 58107 507.631 * * [simplify]: Extracting #10: cost 27 inf + 92042 507.650 * * [simplify]: Extracting #11: cost 2 inf + 110346 507.671 * * [simplify]: Extracting #12: cost 0 inf + 112796 507.693 * * [simplify]: Extracting #13: cost 0 inf + 112556 507.714 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 507.714 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 507.715 * * * * [progress]: [ 1662 / 4754 ] simplifiying candidate # 507.715 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 507.715 * * [simplify]: iters left: 6 (49 enodes) 507.728 * * [simplify]: iters left: 5 (246 enodes) 507.788 * * [simplify]: Extracting #0: cost 1 inf + 0 507.788 * * [simplify]: Extracting #1: cost 3 inf + 0 507.788 * * [simplify]: Extracting #2: cost 6 inf + 0 507.789 * * [simplify]: Extracting #3: cost 10 inf + 0 507.789 * * [simplify]: Extracting #4: cost 20 inf + 0 507.789 * * [simplify]: Extracting #5: cost 129 inf + 0 507.789 * * [simplify]: Extracting #6: cost 280 inf + 86 507.791 * * [simplify]: Extracting #7: cost 266 inf + 7405 507.797 * * [simplify]: Extracting #8: cost 165 inf + 30361 507.805 * * [simplify]: Extracting #9: cost 119 inf + 46626 507.820 * * [simplify]: Extracting #10: cost 30 inf + 88118 507.841 * * [simplify]: Extracting #11: cost 3 inf + 104941 507.861 * * [simplify]: Extracting #12: cost 0 inf + 109456 507.881 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 507.881 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 507.882 * * * * [progress]: [ 1663 / 4754 ] simplifiying candidate # 507.882 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 507.882 * * [simplify]: iters left: 6 (43 enodes) 507.894 * * [simplify]: iters left: 5 (210 enodes) 507.944 * * [simplify]: Extracting #0: cost 1 inf + 0 507.944 * * [simplify]: Extracting #1: cost 3 inf + 0 507.944 * * [simplify]: Extracting #2: cost 6 inf + 0 507.944 * * [simplify]: Extracting #3: cost 10 inf + 0 507.944 * * [simplify]: Extracting #4: cost 20 inf + 0 507.945 * * [simplify]: Extracting #5: cost 120 inf + 0 507.945 * * [simplify]: Extracting #6: cost 243 inf + 86 507.946 * * [simplify]: Extracting #7: cost 239 inf + 4321 507.950 * * [simplify]: Extracting #8: cost 154 inf + 19942 507.956 * * [simplify]: Extracting #9: cost 112 inf + 34274 507.968 * * [simplify]: Extracting #10: cost 29 inf + 70509 507.983 * * [simplify]: Extracting #11: cost 7 inf + 82288 508.002 * * [simplify]: Extracting #12: cost 0 inf + 88555 508.018 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 508.018 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.019 * * * * [progress]: [ 1664 / 4754 ] simplifiying candidate # 508.019 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 508.019 * * [simplify]: iters left: 6 (48 enodes) 508.032 * * [simplify]: iters left: 5 (240 enodes) 508.089 * * [simplify]: Extracting #0: cost 1 inf + 0 508.089 * * [simplify]: Extracting #1: cost 3 inf + 0 508.089 * * [simplify]: Extracting #2: cost 6 inf + 0 508.089 * * [simplify]: Extracting #3: cost 10 inf + 0 508.090 * * [simplify]: Extracting #4: cost 24 inf + 0 508.090 * * [simplify]: Extracting #5: cost 145 inf + 0 508.090 * * [simplify]: Extracting #6: cost 274 inf + 127 508.092 * * [simplify]: Extracting #7: cost 259 inf + 6870 508.097 * * [simplify]: Extracting #8: cost 158 inf + 28255 508.106 * * [simplify]: Extracting #9: cost 78 inf + 58341 508.122 * * [simplify]: Extracting #10: cost 18 inf + 90216 508.141 * * [simplify]: Extracting #11: cost 1 inf + 102852 508.161 * * [simplify]: Extracting #12: cost 0 inf + 104597 508.180 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.181 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.181 * * * * [progress]: [ 1665 / 4754 ] simplifiying candidate # 508.181 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 508.182 * * [simplify]: iters left: 6 (41 enodes) 508.192 * * [simplify]: iters left: 5 (200 enodes) 508.240 * * [simplify]: Extracting #0: cost 1 inf + 0 508.240 * * [simplify]: Extracting #1: cost 3 inf + 0 508.240 * * [simplify]: Extracting #2: cost 6 inf + 0 508.240 * * [simplify]: Extracting #3: cost 10 inf + 0 508.240 * * [simplify]: Extracting #4: cost 24 inf + 0 508.241 * * [simplify]: Extracting #5: cost 120 inf + 0 508.241 * * [simplify]: Extracting #6: cost 221 inf + 86 508.242 * * [simplify]: Extracting #7: cost 212 inf + 4521 508.245 * * [simplify]: Extracting #8: cost 142 inf + 16708 508.251 * * [simplify]: Extracting #9: cost 95 inf + 32586 508.261 * * [simplify]: Extracting #10: cost 31 inf + 59223 508.274 * * [simplify]: Extracting #11: cost 9 inf + 69626 508.289 * * [simplify]: Extracting #12: cost 1 inf + 76960 508.304 * * [simplify]: Extracting #13: cost 0 inf + 78265 508.320 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 508.321 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.321 * * * * [progress]: [ 1666 / 4754 ] simplifiying candidate # 508.321 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 508.322 * * [simplify]: iters left: 6 (48 enodes) 508.335 * * [simplify]: iters left: 5 (240 enodes) 508.392 * * [simplify]: Extracting #0: cost 1 inf + 0 508.392 * * [simplify]: Extracting #1: cost 3 inf + 0 508.392 * * [simplify]: Extracting #2: cost 6 inf + 0 508.392 * * [simplify]: Extracting #3: cost 10 inf + 0 508.392 * * [simplify]: Extracting #4: cost 24 inf + 0 508.392 * * [simplify]: Extracting #5: cost 145 inf + 0 508.393 * * [simplify]: Extracting #6: cost 274 inf + 127 508.395 * * [simplify]: Extracting #7: cost 259 inf + 6870 508.399 * * [simplify]: Extracting #8: cost 159 inf + 28092 508.409 * * [simplify]: Extracting #9: cost 77 inf + 59326 508.425 * * [simplify]: Extracting #10: cost 18 inf + 90856 508.443 * * [simplify]: Extracting #11: cost 1 inf + 103492 508.463 * * [simplify]: Extracting #12: cost 0 inf + 105237 508.483 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.483 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.484 * * * * [progress]: [ 1667 / 4754 ] simplifiying candidate # 508.484 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 508.484 * * [simplify]: iters left: 6 (42 enodes) 508.496 * * [simplify]: iters left: 5 (203 enodes) 508.540 * * [simplify]: Extracting #0: cost 1 inf + 0 508.540 * * [simplify]: Extracting #1: cost 3 inf + 0 508.540 * * [simplify]: Extracting #2: cost 6 inf + 0 508.540 * * [simplify]: Extracting #3: cost 10 inf + 0 508.541 * * [simplify]: Extracting #4: cost 24 inf + 0 508.541 * * [simplify]: Extracting #5: cost 120 inf + 0 508.541 * * [simplify]: Extracting #6: cost 222 inf + 86 508.543 * * [simplify]: Extracting #7: cost 208 inf + 5016 508.550 * * [simplify]: Extracting #8: cost 138 inf + 18806 508.556 * * [simplify]: Extracting #9: cost 88 inf + 35177 508.567 * * [simplify]: Extracting #10: cost 21 inf + 66197 508.582 * * [simplify]: Extracting #11: cost 0 inf + 78869 508.597 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 508.597 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.598 * * * * [progress]: [ 1668 / 4754 ] simplifiying candidate # 508.598 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 508.599 * * [simplify]: iters left: 6 (49 enodes) 508.612 * * [simplify]: iters left: 5 (245 enodes) 508.670 * * [simplify]: Extracting #0: cost 1 inf + 0 508.670 * * [simplify]: Extracting #1: cost 3 inf + 0 508.670 * * [simplify]: Extracting #2: cost 6 inf + 0 508.670 * * [simplify]: Extracting #3: cost 10 inf + 0 508.670 * * [simplify]: Extracting #4: cost 20 inf + 0 508.670 * * [simplify]: Extracting #5: cost 122 inf + 0 508.671 * * [simplify]: Extracting #6: cost 270 inf + 86 508.672 * * [simplify]: Extracting #7: cost 284 inf + 4490 508.676 * * [simplify]: Extracting #8: cost 194 inf + 21953 508.683 * * [simplify]: Extracting #9: cost 133 inf + 39546 508.697 * * [simplify]: Extracting #10: cost 28 inf + 83007 508.718 * * [simplify]: Extracting #11: cost 3 inf + 99218 508.738 * * [simplify]: Extracting #12: cost 0 inf + 103773 508.757 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 508.757 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.758 * * * * [progress]: [ 1669 / 4754 ] simplifiying candidate # 508.758 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 508.758 * * [simplify]: iters left: 6 (49 enodes) 508.771 * * [simplify]: iters left: 5 (247 enodes) 508.830 * * [simplify]: Extracting #0: cost 1 inf + 0 508.830 * * [simplify]: Extracting #1: cost 3 inf + 0 508.830 * * [simplify]: Extracting #2: cost 6 inf + 0 508.830 * * [simplify]: Extracting #3: cost 10 inf + 0 508.830 * * [simplify]: Extracting #4: cost 20 inf + 0 508.831 * * [simplify]: Extracting #5: cost 123 inf + 0 508.831 * * [simplify]: Extracting #6: cost 281 inf + 86 508.833 * * [simplify]: Extracting #7: cost 293 inf + 4449 508.837 * * [simplify]: Extracting #8: cost 194 inf + 22252 508.845 * * [simplify]: Extracting #9: cost 126 inf + 43426 508.862 * * [simplify]: Extracting #10: cost 29 inf + 84733 508.879 * * [simplify]: Extracting #11: cost 5 inf + 96867 508.898 * * [simplify]: Extracting #12: cost 2 inf + 100942 508.917 * * [simplify]: Extracting #13: cost 0 inf + 104312 508.936 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 508.936 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 508.937 * * * * [progress]: [ 1670 / 4754 ] simplifiying candidate # 508.937 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 508.938 * * [simplify]: iters left: 6 (49 enodes) 508.953 * * [simplify]: iters left: 5 (247 enodes) 509.012 * * [simplify]: Extracting #0: cost 1 inf + 0 509.012 * * [simplify]: Extracting #1: cost 3 inf + 0 509.012 * * [simplify]: Extracting #2: cost 6 inf + 0 509.012 * * [simplify]: Extracting #3: cost 10 inf + 0 509.012 * * [simplify]: Extracting #4: cost 20 inf + 0 509.013 * * [simplify]: Extracting #5: cost 126 inf + 0 509.013 * * [simplify]: Extracting #6: cost 280 inf + 86 509.015 * * [simplify]: Extracting #7: cost 285 inf + 4649 509.022 * * [simplify]: Extracting #8: cost 184 inf + 22763 509.033 * * [simplify]: Extracting #9: cost 77 inf + 62815 509.049 * * [simplify]: Extracting #10: cost 16 inf + 89438 509.067 * * [simplify]: Extracting #11: cost 2 inf + 98427 509.087 * * [simplify]: Extracting #12: cost 0 inf + 101837 509.110 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 509.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 509.112 * * * * [progress]: [ 1671 / 4754 ] simplifiying candidate # 509.112 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 509.112 * * [simplify]: iters left: 6 (43 enodes) 509.125 * * [simplify]: iters left: 5 (211 enodes) 509.172 * * [simplify]: Extracting #0: cost 1 inf + 0 509.172 * * [simplify]: Extracting #1: cost 3 inf + 0 509.172 * * [simplify]: Extracting #2: cost 6 inf + 0 509.172 * * [simplify]: Extracting #3: cost 10 inf + 0 509.172 * * [simplify]: Extracting #4: cost 20 inf + 0 509.173 * * [simplify]: Extracting #5: cost 117 inf + 0 509.173 * * [simplify]: Extracting #6: cost 243 inf + 86 509.175 * * [simplify]: Extracting #7: cost 230 inf + 5701 509.178 * * [simplify]: Extracting #8: cost 147 inf + 20604 509.186 * * [simplify]: Extracting #9: cost 112 inf + 31387 509.197 * * [simplify]: Extracting #10: cost 36 inf + 60929 509.210 * * [simplify]: Extracting #11: cost 6 inf + 75306 509.225 * * [simplify]: Extracting #12: cost 4 inf + 77236 509.241 * * [simplify]: Extracting #13: cost 0 inf + 82816 509.256 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 509.256 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 509.257 * * * * [progress]: [ 1672 / 4754 ] simplifiying candidate # 509.257 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 509.257 * * [simplify]: iters left: 6 (48 enodes) 509.685 * * [simplify]: iters left: 5 (241 enodes) 509.741 * * [simplify]: Extracting #0: cost 1 inf + 0 509.741 * * [simplify]: Extracting #1: cost 3 inf + 0 509.741 * * [simplify]: Extracting #2: cost 6 inf + 0 509.741 * * [simplify]: Extracting #3: cost 10 inf + 0 509.741 * * [simplify]: Extracting #4: cost 24 inf + 0 509.741 * * [simplify]: Extracting #5: cost 142 inf + 0 509.742 * * [simplify]: Extracting #6: cost 272 inf + 127 509.744 * * [simplify]: Extracting #7: cost 256 inf + 6189 509.752 * * [simplify]: Extracting #8: cost 181 inf + 19665 509.758 * * [simplify]: Extracting #9: cost 132 inf + 35574 509.771 * * [simplify]: Extracting #10: cost 25 inf + 79219 509.788 * * [simplify]: Extracting #11: cost 1 inf + 95684 509.806 * * [simplify]: Extracting #12: cost 0 inf + 96709 509.824 * * [simplify]: Extracting #13: cost 0 inf + 96269 509.843 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 509.843 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 509.843 * * * * [progress]: [ 1673 / 4754 ] simplifiying candidate # 509.843 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 509.844 * * [simplify]: iters left: 6 (41 enodes) 509.855 * * [simplify]: iters left: 5 (203 enodes) 509.900 * * [simplify]: Extracting #0: cost 1 inf + 0 509.900 * * [simplify]: Extracting #1: cost 3 inf + 0 509.900 * * [simplify]: Extracting #2: cost 6 inf + 0 509.900 * * [simplify]: Extracting #3: cost 10 inf + 0 509.900 * * [simplify]: Extracting #4: cost 24 inf + 0 509.900 * * [simplify]: Extracting #5: cost 119 inf + 0 509.901 * * [simplify]: Extracting #6: cost 225 inf + 86 509.902 * * [simplify]: Extracting #7: cost 212 inf + 5053 509.906 * * [simplify]: Extracting #8: cost 129 inf + 22006 509.919 * * [simplify]: Extracting #9: cost 23 inf + 61948 509.934 * * [simplify]: Extracting #10: cost 7 inf + 73630 509.948 * * [simplify]: Extracting #11: cost 1 inf + 74953 509.963 * * [simplify]: Extracting #12: cost 0 inf + 75165 509.977 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 509.977 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 509.978 * * * * [progress]: [ 1674 / 4754 ] simplifiying candidate # 509.978 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 509.979 * * [simplify]: iters left: 6 (48 enodes) 509.991 * * [simplify]: iters left: 5 (241 enodes) 510.048 * * [simplify]: Extracting #0: cost 1 inf + 0 510.048 * * [simplify]: Extracting #1: cost 3 inf + 0 510.048 * * [simplify]: Extracting #2: cost 6 inf + 0 510.048 * * [simplify]: Extracting #3: cost 10 inf + 0 510.048 * * [simplify]: Extracting #4: cost 24 inf + 0 510.049 * * [simplify]: Extracting #5: cost 142 inf + 0 510.049 * * [simplify]: Extracting #6: cost 272 inf + 127 510.051 * * [simplify]: Extracting #7: cost 261 inf + 5535 510.055 * * [simplify]: Extracting #8: cost 181 inf + 19985 510.062 * * [simplify]: Extracting #9: cost 132 inf + 36214 510.077 * * [simplify]: Extracting #10: cost 26 inf + 79607 510.095 * * [simplify]: Extracting #11: cost 1 inf + 96324 510.112 * * [simplify]: Extracting #12: cost 0 inf + 97349 510.130 * * [simplify]: Extracting #13: cost 0 inf + 96909 510.149 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 510.149 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 510.149 * * * * [progress]: [ 1675 / 4754 ] simplifiying candidate # 510.150 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 510.150 * * [simplify]: iters left: 6 (42 enodes) 510.162 * * [simplify]: iters left: 5 (205 enodes) 510.206 * * [simplify]: Extracting #0: cost 1 inf + 0 510.207 * * [simplify]: Extracting #1: cost 3 inf + 0 510.207 * * [simplify]: Extracting #2: cost 6 inf + 0 510.207 * * [simplify]: Extracting #3: cost 10 inf + 0 510.207 * * [simplify]: Extracting #4: cost 24 inf + 0 510.207 * * [simplify]: Extracting #5: cost 119 inf + 0 510.207 * * [simplify]: Extracting #6: cost 226 inf + 86 510.209 * * [simplify]: Extracting #7: cost 213 inf + 4771 510.213 * * [simplify]: Extracting #8: cost 117 inf + 25934 510.226 * * [simplify]: Extracting #9: cost 26 inf + 62837 510.240 * * [simplify]: Extracting #10: cost 8 inf + 74049 510.255 * * [simplify]: Extracting #11: cost 1 inf + 75797 510.270 * * [simplify]: Extracting #12: cost 0 inf + 75929 510.285 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 510.285 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 510.285 * * * * [progress]: [ 1676 / 4754 ] simplifiying candidate # 510.285 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 510.286 * * [simplify]: iters left: 6 (49 enodes) 510.299 * * [simplify]: iters left: 5 (245 enodes) 510.359 * * [simplify]: Extracting #0: cost 1 inf + 0 510.360 * * [simplify]: Extracting #1: cost 3 inf + 0 510.360 * * [simplify]: Extracting #2: cost 6 inf + 0 510.360 * * [simplify]: Extracting #3: cost 10 inf + 0 510.360 * * [simplify]: Extracting #4: cost 20 inf + 0 510.360 * * [simplify]: Extracting #5: cost 126 inf + 0 510.361 * * [simplify]: Extracting #6: cost 276 inf + 86 510.363 * * [simplify]: Extracting #7: cost 292 inf + 4365 510.367 * * [simplify]: Extracting #8: cost 194 inf + 22802 510.374 * * [simplify]: Extracting #9: cost 132 inf + 40842 510.392 * * [simplify]: Extracting #10: cost 28 inf + 88534 510.411 * * [simplify]: Extracting #11: cost 3 inf + 106066 510.432 * * [simplify]: Extracting #12: cost 0 inf + 110781 510.453 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- phi1 phi2)))))))) 510.453 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 510.454 * * * * [progress]: [ 1677 / 4754 ] simplifiying candidate # 510.454 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 510.454 * * [simplify]: iters left: 6 (49 enodes) 510.467 * * [simplify]: iters left: 5 (247 enodes) 510.526 * * [simplify]: Extracting #0: cost 1 inf + 0 510.526 * * [simplify]: Extracting #1: cost 3 inf + 0 510.526 * * [simplify]: Extracting #2: cost 6 inf + 0 510.526 * * [simplify]: Extracting #3: cost 10 inf + 0 510.526 * * [simplify]: Extracting #4: cost 20 inf + 0 510.526 * * [simplify]: Extracting #5: cost 127 inf + 0 510.527 * * [simplify]: Extracting #6: cost 287 inf + 86 510.528 * * [simplify]: Extracting #7: cost 301 inf + 4239 510.533 * * [simplify]: Extracting #8: cost 178 inf + 29018 510.549 * * [simplify]: Extracting #9: cost 61 inf + 80395 510.568 * * [simplify]: Extracting #10: cost 11 inf + 106321 510.588 * * [simplify]: Extracting #11: cost 0 inf + 112181 510.609 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 510.609 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 510.610 * * * * [progress]: [ 1678 / 4754 ] simplifiying candidate # 510.610 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 510.610 * * [simplify]: iters left: 6 (49 enodes) 510.623 * * [simplify]: iters left: 5 (247 enodes) 510.683 * * [simplify]: Extracting #0: cost 1 inf + 0 510.683 * * [simplify]: Extracting #1: cost 3 inf + 0 510.683 * * [simplify]: Extracting #2: cost 6 inf + 0 510.683 * * [simplify]: Extracting #3: cost 10 inf + 0 510.683 * * [simplify]: Extracting #4: cost 20 inf + 0 510.684 * * [simplify]: Extracting #5: cost 130 inf + 0 510.684 * * [simplify]: Extracting #6: cost 285 inf + 86 510.686 * * [simplify]: Extracting #7: cost 288 inf + 5655 510.692 * * [simplify]: Extracting #8: cost 154 inf + 36386 510.708 * * [simplify]: Extracting #9: cost 54 inf + 78225 510.726 * * [simplify]: Extracting #10: cost 12 inf + 100299 510.746 * * [simplify]: Extracting #11: cost 1 inf + 107496 510.765 * * [simplify]: Extracting #12: cost 0 inf + 109121 510.786 * * [simplify]: Extracting #13: cost 0 inf + 109041 510.806 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) 510.806 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 510.807 * * * * [progress]: [ 1679 / 4754 ] simplifiying candidate # 510.807 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 510.807 * * [simplify]: iters left: 6 (43 enodes) 510.819 * * [simplify]: iters left: 5 (211 enodes) 510.868 * * [simplify]: Extracting #0: cost 1 inf + 0 510.868 * * [simplify]: Extracting #1: cost 3 inf + 0 510.868 * * [simplify]: Extracting #2: cost 6 inf + 0 510.868 * * [simplify]: Extracting #3: cost 10 inf + 0 510.868 * * [simplify]: Extracting #4: cost 20 inf + 0 510.868 * * [simplify]: Extracting #5: cost 121 inf + 0 510.869 * * [simplify]: Extracting #6: cost 248 inf + 86 510.870 * * [simplify]: Extracting #7: cost 230 inf + 6951 510.874 * * [simplify]: Extracting #8: cost 147 inf + 23697 510.881 * * [simplify]: Extracting #9: cost 101 inf + 37549 510.893 * * [simplify]: Extracting #10: cost 20 inf + 72733 510.908 * * [simplify]: Extracting #11: cost 5 inf + 81975 510.924 * * [simplify]: Extracting #12: cost 1 inf + 86755 510.943 * * [simplify]: Extracting #13: cost 0 inf + 88220 510.960 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 510.960 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 510.960 * * * * [progress]: [ 1680 / 4754 ] simplifiying candidate # 510.961 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 510.961 * * [simplify]: iters left: 6 (48 enodes) 510.975 * * [simplify]: iters left: 5 (241 enodes) 511.032 * * [simplify]: Extracting #0: cost 1 inf + 0 511.032 * * [simplify]: Extracting #1: cost 3 inf + 0 511.033 * * [simplify]: Extracting #2: cost 6 inf + 0 511.033 * * [simplify]: Extracting #3: cost 10 inf + 0 511.033 * * [simplify]: Extracting #4: cost 24 inf + 0 511.033 * * [simplify]: Extracting #5: cost 146 inf + 0 511.034 * * [simplify]: Extracting #6: cost 278 inf + 127 511.035 * * [simplify]: Extracting #7: cost 267 inf + 5458 511.039 * * [simplify]: Extracting #8: cost 176 inf + 25992 511.051 * * [simplify]: Extracting #9: cost 58 inf + 71660 511.068 * * [simplify]: Extracting #10: cost 6 inf + 99704 511.087 * * [simplify]: Extracting #11: cost 0 inf + 103797 511.108 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 511.108 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 511.109 * * * * [progress]: [ 1681 / 4754 ] simplifiying candidate # 511.109 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 511.109 * * [simplify]: iters left: 6 (41 enodes) 511.120 * * [simplify]: iters left: 5 (202 enodes) 511.164 * * [simplify]: Extracting #0: cost 1 inf + 0 511.164 * * [simplify]: Extracting #1: cost 3 inf + 0 511.164 * * [simplify]: Extracting #2: cost 6 inf + 0 511.164 * * [simplify]: Extracting #3: cost 10 inf + 0 511.164 * * [simplify]: Extracting #4: cost 24 inf + 0 511.165 * * [simplify]: Extracting #5: cost 124 inf + 0 511.165 * * [simplify]: Extracting #6: cost 230 inf + 86 511.167 * * [simplify]: Extracting #7: cost 219 inf + 5206 511.170 * * [simplify]: Extracting #8: cost 143 inf + 19813 511.179 * * [simplify]: Extracting #9: cost 87 inf + 37210 511.190 * * [simplify]: Extracting #10: cost 18 inf + 67785 511.205 * * [simplify]: Extracting #11: cost 3 inf + 76814 511.220 * * [simplify]: Extracting #12: cost 0 inf + 80489 511.235 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 511.235 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 511.236 * * * * [progress]: [ 1682 / 4754 ] simplifiying candidate # 511.236 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 511.237 * * [simplify]: iters left: 6 (48 enodes) 511.250 * * [simplify]: iters left: 5 (241 enodes) 511.308 * * [simplify]: Extracting #0: cost 1 inf + 0 511.308 * * [simplify]: Extracting #1: cost 3 inf + 0 511.308 * * [simplify]: Extracting #2: cost 6 inf + 0 511.308 * * [simplify]: Extracting #3: cost 10 inf + 0 511.309 * * [simplify]: Extracting #4: cost 24 inf + 0 511.309 * * [simplify]: Extracting #5: cost 146 inf + 0 511.309 * * [simplify]: Extracting #6: cost 278 inf + 127 511.311 * * [simplify]: Extracting #7: cost 270 inf + 4890 511.316 * * [simplify]: Extracting #8: cost 177 inf + 25607 511.327 * * [simplify]: Extracting #9: cost 61 inf + 70705 511.348 * * [simplify]: Extracting #10: cost 6 inf + 100595 511.366 * * [simplify]: Extracting #11: cost 0 inf + 104437 511.385 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 511.385 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 511.386 * * * * [progress]: [ 1683 / 4754 ] simplifiying candidate # 511.386 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 511.387 * * [simplify]: iters left: 6 (42 enodes) 511.398 * * [simplify]: iters left: 5 (205 enodes) 511.444 * * [simplify]: Extracting #0: cost 1 inf + 0 511.444 * * [simplify]: Extracting #1: cost 3 inf + 0 511.444 * * [simplify]: Extracting #2: cost 6 inf + 0 511.444 * * [simplify]: Extracting #3: cost 10 inf + 0 511.445 * * [simplify]: Extracting #4: cost 24 inf + 0 511.445 * * [simplify]: Extracting #5: cost 124 inf + 0 511.445 * * [simplify]: Extracting #6: cost 231 inf + 86 511.447 * * [simplify]: Extracting #7: cost 218 inf + 5615 511.450 * * [simplify]: Extracting #8: cost 141 inf + 20502 511.456 * * [simplify]: Extracting #9: cost 94 inf + 35329 511.468 * * [simplify]: Extracting #10: cost 19 inf + 68378 511.483 * * [simplify]: Extracting #11: cost 1 inf + 80428 511.501 * * [simplify]: Extracting #12: cost 0 inf + 81413 511.516 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 511.516 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 511.517 * * * * [progress]: [ 1684 / 4754 ] simplifiying candidate # 511.517 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 511.517 * * [simplify]: iters left: 6 (49 enodes) 511.531 * * [simplify]: iters left: 5 (245 enodes) 511.590 * * [simplify]: Extracting #0: cost 1 inf + 0 511.590 * * [simplify]: Extracting #1: cost 3 inf + 0 511.590 * * [simplify]: Extracting #2: cost 6 inf + 0 511.590 * * [simplify]: Extracting #3: cost 10 inf + 0 511.590 * * [simplify]: Extracting #4: cost 20 inf + 0 511.590 * * [simplify]: Extracting #5: cost 121 inf + 0 511.591 * * [simplify]: Extracting #6: cost 268 inf + 86 511.592 * * [simplify]: Extracting #7: cost 288 inf + 4240 511.597 * * [simplify]: Extracting #8: cost 195 inf + 21874 511.605 * * [simplify]: Extracting #9: cost 133 inf + 40077 511.619 * * [simplify]: Extracting #10: cost 27 inf + 83992 511.638 * * [simplify]: Extracting #11: cost 3 inf + 98978 511.661 * * [simplify]: Extracting #12: cost 0 inf + 103333 511.680 * * [simplify]: Extracting #13: cost 0 inf + 103253 511.699 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 511.700 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 511.700 * * * * [progress]: [ 1685 / 4754 ] simplifiying candidate # 511.700 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 511.701 * * [simplify]: iters left: 6 (49 enodes) 511.714 * * [simplify]: iters left: 5 (247 enodes) 511.773 * * [simplify]: Extracting #0: cost 1 inf + 0 511.773 * * [simplify]: Extracting #1: cost 3 inf + 0 511.773 * * [simplify]: Extracting #2: cost 6 inf + 0 511.773 * * [simplify]: Extracting #3: cost 10 inf + 0 511.773 * * [simplify]: Extracting #4: cost 20 inf + 0 511.773 * * [simplify]: Extracting #5: cost 122 inf + 0 511.774 * * [simplify]: Extracting #6: cost 280 inf + 86 511.775 * * [simplify]: Extracting #7: cost 292 inf + 4810 511.779 * * [simplify]: Extracting #8: cost 197 inf + 22294 511.786 * * [simplify]: Extracting #9: cost 135 inf + 40981 511.800 * * [simplify]: Extracting #10: cost 28 inf + 83623 511.821 * * [simplify]: Extracting #11: cost 5 inf + 96292 511.840 * * [simplify]: Extracting #12: cost 2 inf + 100927 511.859 * * [simplify]: Extracting #13: cost 0 inf + 104537 511.878 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 511.879 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 511.879 * * * * [progress]: [ 1686 / 4754 ] simplifiying candidate # 511.879 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 511.880 * * [simplify]: iters left: 6 (49 enodes) 511.895 * * [simplify]: iters left: 5 (247 enodes) 511.955 * * [simplify]: Extracting #0: cost 1 inf + 0 511.955 * * [simplify]: Extracting #1: cost 3 inf + 0 511.955 * * [simplify]: Extracting #2: cost 6 inf + 0 511.955 * * [simplify]: Extracting #3: cost 10 inf + 0 511.955 * * [simplify]: Extracting #4: cost 20 inf + 0 511.955 * * [simplify]: Extracting #5: cost 125 inf + 0 511.956 * * [simplify]: Extracting #6: cost 278 inf + 86 511.957 * * [simplify]: Extracting #7: cost 288 inf + 4040 511.962 * * [simplify]: Extracting #8: cost 166 inf + 28379 511.976 * * [simplify]: Extracting #9: cost 61 inf + 68513 511.993 * * [simplify]: Extracting #10: cost 14 inf + 89994 512.011 * * [simplify]: Extracting #11: cost 2 inf + 98147 512.030 * * [simplify]: Extracting #12: cost 0 inf + 101237 512.049 * * [simplify]: Extracting #13: cost 0 inf + 101157 512.069 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 512.069 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.070 * * * * [progress]: [ 1687 / 4754 ] simplifiying candidate # 512.070 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 512.070 * * [simplify]: iters left: 6 (43 enodes) 512.082 * * [simplify]: iters left: 5 (211 enodes) 512.131 * * [simplify]: Extracting #0: cost 1 inf + 0 512.131 * * [simplify]: Extracting #1: cost 3 inf + 0 512.131 * * [simplify]: Extracting #2: cost 6 inf + 0 512.131 * * [simplify]: Extracting #3: cost 10 inf + 0 512.131 * * [simplify]: Extracting #4: cost 20 inf + 0 512.131 * * [simplify]: Extracting #5: cost 116 inf + 0 512.132 * * [simplify]: Extracting #6: cost 241 inf + 86 512.133 * * [simplify]: Extracting #7: cost 230 inf + 5660 512.137 * * [simplify]: Extracting #8: cost 150 inf + 20319 512.142 * * [simplify]: Extracting #9: cost 111 inf + 31894 512.153 * * [simplify]: Extracting #10: cost 40 inf + 59096 512.166 * * [simplify]: Extracting #11: cost 7 inf + 74681 512.181 * * [simplify]: Extracting #12: cost 4 inf + 77356 512.196 * * [simplify]: Extracting #13: cost 0 inf + 82216 512.214 * * [simplify]: Extracting #14: cost 0 inf + 82136 512.229 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 512.229 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.230 * * * * [progress]: [ 1688 / 4754 ] simplifiying candidate # 512.230 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 512.230 * * [simplify]: iters left: 6 (48 enodes) 512.243 * * [simplify]: iters left: 5 (241 enodes) 512.303 * * [simplify]: Extracting #0: cost 1 inf + 0 512.303 * * [simplify]: Extracting #1: cost 3 inf + 0 512.303 * * [simplify]: Extracting #2: cost 6 inf + 0 512.303 * * [simplify]: Extracting #3: cost 10 inf + 0 512.303 * * [simplify]: Extracting #4: cost 24 inf + 0 512.303 * * [simplify]: Extracting #5: cost 141 inf + 0 512.304 * * [simplify]: Extracting #6: cost 270 inf + 127 512.305 * * [simplify]: Extracting #7: cost 255 inf + 6267 512.310 * * [simplify]: Extracting #8: cost 162 inf + 26354 512.319 * * [simplify]: Extracting #9: cost 70 inf + 60627 512.335 * * [simplify]: Extracting #10: cost 10 inf + 90647 512.353 * * [simplify]: Extracting #11: cost 0 inf + 96149 512.374 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 512.374 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.374 * * * * [progress]: [ 1689 / 4754 ] simplifiying candidate # 512.375 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 512.375 * * [simplify]: iters left: 6 (41 enodes) 512.386 * * [simplify]: iters left: 5 (203 enodes) 512.430 * * [simplify]: Extracting #0: cost 1 inf + 0 512.430 * * [simplify]: Extracting #1: cost 3 inf + 0 512.430 * * [simplify]: Extracting #2: cost 6 inf + 0 512.430 * * [simplify]: Extracting #3: cost 10 inf + 0 512.430 * * [simplify]: Extracting #4: cost 24 inf + 0 512.430 * * [simplify]: Extracting #5: cost 115 inf + 0 512.431 * * [simplify]: Extracting #6: cost 220 inf + 86 512.432 * * [simplify]: Extracting #7: cost 212 inf + 4080 512.435 * * [simplify]: Extracting #8: cost 128 inf + 21483 512.448 * * [simplify]: Extracting #9: cost 32 inf + 58313 512.462 * * [simplify]: Extracting #10: cost 8 inf + 73608 512.477 * * [simplify]: Extracting #11: cost 1 inf + 74943 512.492 * * [simplify]: Extracting #12: cost 0 inf + 74835 512.507 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 512.507 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.507 * * * * [progress]: [ 1690 / 4754 ] simplifiying candidate # 512.507 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 512.508 * * [simplify]: iters left: 6 (48 enodes) 512.521 * * [simplify]: iters left: 5 (241 enodes) 512.581 * * [simplify]: Extracting #0: cost 1 inf + 0 512.581 * * [simplify]: Extracting #1: cost 3 inf + 0 512.581 * * [simplify]: Extracting #2: cost 6 inf + 0 512.581 * * [simplify]: Extracting #3: cost 10 inf + 0 512.581 * * [simplify]: Extracting #4: cost 24 inf + 0 512.581 * * [simplify]: Extracting #5: cost 141 inf + 0 512.582 * * [simplify]: Extracting #6: cost 270 inf + 127 512.583 * * [simplify]: Extracting #7: cost 258 inf + 5900 512.588 * * [simplify]: Extracting #8: cost 162 inf + 26674 512.598 * * [simplify]: Extracting #9: cost 70 inf + 61267 512.616 * * [simplify]: Extracting #10: cost 12 inf + 90572 512.634 * * [simplify]: Extracting #11: cost 0 inf + 96789 512.652 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 512.652 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.653 * * * * [progress]: [ 1691 / 4754 ] simplifiying candidate # 512.653 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 512.653 * * [simplify]: iters left: 6 (42 enodes) 512.665 * * [simplify]: iters left: 5 (205 enodes) 512.710 * * [simplify]: Extracting #0: cost 1 inf + 0 512.711 * * [simplify]: Extracting #1: cost 3 inf + 0 512.711 * * [simplify]: Extracting #2: cost 6 inf + 0 512.711 * * [simplify]: Extracting #3: cost 10 inf + 0 512.711 * * [simplify]: Extracting #4: cost 24 inf + 0 512.711 * * [simplify]: Extracting #5: cost 115 inf + 0 512.711 * * [simplify]: Extracting #6: cost 221 inf + 86 512.713 * * [simplify]: Extracting #7: cost 215 inf + 3756 512.716 * * [simplify]: Extracting #8: cost 119 inf + 25084 512.727 * * [simplify]: Extracting #9: cost 24 inf + 62837 512.742 * * [simplify]: Extracting #10: cost 10 inf + 72495 512.757 * * [simplify]: Extracting #11: cost 2 inf + 75015 512.774 * * [simplify]: Extracting #12: cost 0 inf + 75439 512.789 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 512.789 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.789 * * * * [progress]: [ 1692 / 4754 ] simplifiying candidate # 512.790 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 512.790 * * [simplify]: iters left: 6 (42 enodes) 512.802 * * [simplify]: iters left: 5 (210 enodes) 512.852 * * [simplify]: Extracting #0: cost 1 inf + 0 512.852 * * [simplify]: Extracting #1: cost 3 inf + 0 512.852 * * [simplify]: Extracting #2: cost 6 inf + 0 512.852 * * [simplify]: Extracting #3: cost 10 inf + 0 512.852 * * [simplify]: Extracting #4: cost 20 inf + 0 512.852 * * [simplify]: Extracting #5: cost 114 inf + 0 512.853 * * [simplify]: Extracting #6: cost 241 inf + 88 512.854 * * [simplify]: Extracting #7: cost 225 inf + 5037 512.857 * * [simplify]: Extracting #8: cost 156 inf + 16360 512.861 * * [simplify]: Extracting #9: cost 111 inf + 29367 512.871 * * [simplify]: Extracting #10: cost 29 inf + 61781 512.885 * * [simplify]: Extracting #11: cost 7 inf + 70189 512.900 * * [simplify]: Extracting #12: cost 1 inf + 76797 512.916 * * [simplify]: Extracting #13: cost 0 inf + 78102 512.933 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 512.933 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 512.934 * * * * [progress]: [ 1693 / 4754 ] simplifiying candidate # 512.934 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 512.934 * * [simplify]: iters left: 6 (42 enodes) 512.946 * * [simplify]: iters left: 5 (208 enodes) 512.992 * * [simplify]: Extracting #0: cost 1 inf + 0 512.993 * * [simplify]: Extracting #1: cost 3 inf + 0 512.993 * * [simplify]: Extracting #2: cost 6 inf + 0 512.993 * * [simplify]: Extracting #3: cost 10 inf + 0 512.993 * * [simplify]: Extracting #4: cost 23 inf + 0 512.993 * * [simplify]: Extracting #5: cost 121 inf + 0 512.993 * * [simplify]: Extracting #6: cost 242 inf + 86 512.995 * * [simplify]: Extracting #7: cost 225 inf + 4891 513.001 * * [simplify]: Extracting #8: cost 130 inf + 21971 513.010 * * [simplify]: Extracting #9: cost 42 inf + 54375 513.024 * * [simplify]: Extracting #10: cost 11 inf + 71058 513.039 * * [simplify]: Extracting #11: cost 1 inf + 74855 513.053 * * [simplify]: Extracting #12: cost 0 inf + 75067 513.067 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 513.067 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 513.068 * * * * [progress]: [ 1694 / 4754 ] simplifiying candidate # 513.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 513.069 * * [simplify]: iters left: 6 (47 enodes) 513.082 * * [simplify]: iters left: 5 (246 enodes) 513.144 * * [simplify]: Extracting #0: cost 1 inf + 0 513.144 * * [simplify]: Extracting #1: cost 3 inf + 0 513.144 * * [simplify]: Extracting #2: cost 6 inf + 0 513.144 * * [simplify]: Extracting #3: cost 10 inf + 0 513.144 * * [simplify]: Extracting #4: cost 20 inf + 0 513.145 * * [simplify]: Extracting #5: cost 135 inf + 0 513.145 * * [simplify]: Extracting #6: cost 292 inf + 1 513.147 * * [simplify]: Extracting #7: cost 346 inf + 1434 513.155 * * [simplify]: Extracting #8: cost 206 inf + 37557 513.178 * * [simplify]: Extracting #9: cost 66 inf + 94658 513.200 * * [simplify]: Extracting #10: cost 8 inf + 122236 513.224 * * [simplify]: Extracting #11: cost 0 inf + 128387 513.247 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 513.247 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 513.248 * * * * [progress]: [ 1695 / 4754 ] simplifiying candidate # 513.248 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 513.249 * * [simplify]: iters left: 6 (48 enodes) 513.263 * * [simplify]: iters left: 5 (251 enodes) 513.325 * * [simplify]: Extracting #0: cost 1 inf + 0 513.326 * * [simplify]: Extracting #1: cost 3 inf + 0 513.326 * * [simplify]: Extracting #2: cost 6 inf + 0 513.326 * * [simplify]: Extracting #3: cost 10 inf + 0 513.326 * * [simplify]: Extracting #4: cost 20 inf + 0 513.326 * * [simplify]: Extracting #5: cost 133 inf + 0 513.327 * * [simplify]: Extracting #6: cost 303 inf + 1 513.328 * * [simplify]: Extracting #7: cost 352 inf + 1476 513.334 * * [simplify]: Extracting #8: cost 192 inf + 40397 513.353 * * [simplify]: Extracting #9: cost 38 inf + 106264 513.376 * * [simplify]: Extracting #10: cost 2 inf + 125975 513.400 * * [simplify]: Extracting #11: cost 0 inf + 127732 513.425 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 513.425 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 513.426 * * * * [progress]: [ 1696 / 4754 ] simplifiying candidate # 513.426 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 513.426 * * [simplify]: iters left: 6 (48 enodes) 513.440 * * [simplify]: iters left: 5 (251 enodes) 513.505 * * [simplify]: Extracting #0: cost 1 inf + 0 513.505 * * [simplify]: Extracting #1: cost 3 inf + 0 513.505 * * [simplify]: Extracting #2: cost 6 inf + 0 513.505 * * [simplify]: Extracting #3: cost 10 inf + 0 513.505 * * [simplify]: Extracting #4: cost 20 inf + 0 513.506 * * [simplify]: Extracting #5: cost 136 inf + 0 513.506 * * [simplify]: Extracting #6: cost 305 inf + 1 513.508 * * [simplify]: Extracting #7: cost 341 inf + 2610 513.515 * * [simplify]: Extracting #8: cost 182 inf + 45535 513.533 * * [simplify]: Extracting #9: cost 34 inf + 104579 513.555 * * [simplify]: Extracting #10: cost 5 inf + 118483 513.581 * * [simplify]: Extracting #11: cost 0 inf + 126168 513.604 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (* (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 513.605 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2))) (* (* (* (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 513.605 * * * * [progress]: [ 1697 / 4754 ] simplifiying candidate # 513.606 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 513.606 * * [simplify]: iters left: 6 (48 enodes) 513.619 * * [simplify]: iters left: 5 (253 enodes) 513.682 * * [simplify]: Extracting #0: cost 1 inf + 0 513.682 * * [simplify]: Extracting #1: cost 3 inf + 0 513.682 * * [simplify]: Extracting #2: cost 6 inf + 0 513.682 * * [simplify]: Extracting #3: cost 10 inf + 0 513.682 * * [simplify]: Extracting #4: cost 20 inf + 0 513.682 * * [simplify]: Extracting #5: cost 138 inf + 0 513.683 * * [simplify]: Extracting #6: cost 298 inf + 44 513.684 * * [simplify]: Extracting #7: cost 321 inf + 3343 513.690 * * [simplify]: Extracting #8: cost 194 inf + 32173 513.704 * * [simplify]: Extracting #9: cost 81 inf + 81858 513.728 * * [simplify]: Extracting #10: cost 8 inf + 113200 513.750 * * [simplify]: Extracting #11: cost 1 inf + 117550 513.772 * * [simplify]: Extracting #12: cost 0 inf + 119055 513.795 * * [simplify]: Extracting #13: cost 0 inf + 118895 513.818 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) 513.818 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 513.819 * * * * [progress]: [ 1698 / 4754 ] simplifiying candidate # 513.819 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 513.820 * * [simplify]: iters left: 6 (46 enodes) 513.832 * * [simplify]: iters left: 5 (236 enodes) 513.890 * * [simplify]: Extracting #0: cost 1 inf + 0 513.891 * * [simplify]: Extracting #1: cost 3 inf + 0 513.891 * * [simplify]: Extracting #2: cost 6 inf + 0 513.891 * * [simplify]: Extracting #3: cost 10 inf + 0 513.891 * * [simplify]: Extracting #4: cost 24 inf + 0 513.891 * * [simplify]: Extracting #5: cost 135 inf + 0 513.892 * * [simplify]: Extracting #6: cost 259 inf + 1 513.893 * * [simplify]: Extracting #7: cost 293 inf + 2360 513.898 * * [simplify]: Extracting #8: cost 168 inf + 32068 513.911 * * [simplify]: Extracting #9: cost 48 inf + 80266 513.931 * * [simplify]: Extracting #10: cost 7 inf + 104729 513.952 * * [simplify]: Extracting #11: cost 0 inf + 110676 513.973 * * [simplify]: Extracting #12: cost 0 inf + 110356 513.995 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 513.995 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 513.996 * * * * [progress]: [ 1699 / 4754 ] simplifiying candidate # 513.996 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 513.997 * * [simplify]: iters left: 6 (47 enodes) 514.009 * * [simplify]: iters left: 5 (245 enodes) 514.069 * * [simplify]: Extracting #0: cost 1 inf + 0 514.069 * * [simplify]: Extracting #1: cost 3 inf + 0 514.069 * * [simplify]: Extracting #2: cost 6 inf + 0 514.069 * * [simplify]: Extracting #3: cost 10 inf + 0 514.069 * * [simplify]: Extracting #4: cost 24 inf + 0 514.069 * * [simplify]: Extracting #5: cost 144 inf + 0 514.070 * * [simplify]: Extracting #6: cost 285 inf + 44 514.072 * * [simplify]: Extracting #7: cost 308 inf + 3585 514.077 * * [simplify]: Extracting #8: cost 176 inf + 34067 514.088 * * [simplify]: Extracting #9: cost 111 inf + 56381 514.106 * * [simplify]: Extracting #10: cost 16 inf + 97201 514.126 * * [simplify]: Extracting #11: cost 4 inf + 105422 514.149 * * [simplify]: Extracting #12: cost 1 inf + 109697 514.170 * * [simplify]: Extracting #13: cost 0 inf + 111322 514.190 * * [simplify]: Extracting #14: cost 0 inf + 111282 514.211 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) 514.211 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 514.212 * * * * [progress]: [ 1700 / 4754 ] simplifiying candidate # 514.212 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 514.213 * * [simplify]: iters left: 6 (45 enodes) 514.226 * * [simplify]: iters left: 5 (233 enodes) 514.282 * * [simplify]: Extracting #0: cost 1 inf + 0 514.282 * * [simplify]: Extracting #1: cost 3 inf + 0 514.282 * * [simplify]: Extracting #2: cost 6 inf + 0 514.282 * * [simplify]: Extracting #3: cost 10 inf + 0 514.282 * * [simplify]: Extracting #4: cost 24 inf + 0 514.282 * * [simplify]: Extracting #5: cost 136 inf + 0 514.283 * * [simplify]: Extracting #6: cost 260 inf + 1 514.284 * * [simplify]: Extracting #7: cost 292 inf + 2885 514.287 * * [simplify]: Extracting #8: cost 194 inf + 22002 514.303 * * [simplify]: Extracting #9: cost 59 inf + 80149 514.323 * * [simplify]: Extracting #10: cost 4 inf + 109048 514.344 * * [simplify]: Extracting #11: cost 0 inf + 111320 514.365 * * [simplify]: Extracting #12: cost 0 inf + 111240 514.387 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 514.387 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 514.387 * * * * [progress]: [ 1701 / 4754 ] simplifiying candidate # 514.388 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 514.388 * * [simplify]: iters left: 6 (47 enodes) 514.401 * * [simplify]: iters left: 5 (245 enodes) 514.463 * * [simplify]: Extracting #0: cost 1 inf + 0 514.463 * * [simplify]: Extracting #1: cost 3 inf + 0 514.463 * * [simplify]: Extracting #2: cost 6 inf + 0 514.463 * * [simplify]: Extracting #3: cost 10 inf + 0 514.463 * * [simplify]: Extracting #4: cost 24 inf + 0 514.463 * * [simplify]: Extracting #5: cost 143 inf + 0 514.464 * * [simplify]: Extracting #6: cost 285 inf + 44 514.465 * * [simplify]: Extracting #7: cost 308 inf + 3585 514.471 * * [simplify]: Extracting #8: cost 172 inf + 36003 514.481 * * [simplify]: Extracting #9: cost 112 inf + 56036 514.498 * * [simplify]: Extracting #10: cost 16 inf + 97523 514.517 * * [simplify]: Extracting #11: cost 4 inf + 105702 514.539 * * [simplify]: Extracting #12: cost 1 inf + 109937 514.561 * * [simplify]: Extracting #13: cost 0 inf + 111562 514.581 * * [simplify]: Extracting #14: cost 0 inf + 111522 514.602 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 514.602 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 514.603 * * * * [progress]: [ 1702 / 4754 ] simplifiying candidate # 514.603 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 514.603 * * [simplify]: iters left: 6 (47 enodes) 514.616 * * [simplify]: iters left: 5 (239 enodes) 514.676 * * [simplify]: Extracting #0: cost 1 inf + 0 514.676 * * [simplify]: Extracting #1: cost 3 inf + 0 514.676 * * [simplify]: Extracting #2: cost 6 inf + 0 514.676 * * [simplify]: Extracting #3: cost 10 inf + 0 514.676 * * [simplify]: Extracting #4: cost 24 inf + 0 514.676 * * [simplify]: Extracting #5: cost 165 inf + 0 514.677 * * [simplify]: Extracting #6: cost 289 inf + 1 514.678 * * [simplify]: Extracting #7: cost 339 inf + 1108 514.682 * * [simplify]: Extracting #8: cost 246 inf + 16749 514.695 * * [simplify]: Extracting #9: cost 133 inf + 65439 514.718 * * [simplify]: Extracting #10: cost 15 inf + 122620 514.744 * * [simplify]: Extracting #11: cost 0 inf + 134729 514.768 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))) 514.769 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 514.769 * * * * [progress]: [ 1703 / 4754 ] simplifiying candidate # 514.770 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 514.770 * * [simplify]: iters left: 6 (48 enodes) 514.785 * * [simplify]: iters left: 5 (247 enodes) 514.844 * * [simplify]: Extracting #0: cost 1 inf + 0 514.844 * * [simplify]: Extracting #1: cost 3 inf + 0 514.844 * * [simplify]: Extracting #2: cost 6 inf + 0 514.844 * * [simplify]: Extracting #3: cost 10 inf + 0 514.844 * * [simplify]: Extracting #4: cost 24 inf + 0 514.845 * * [simplify]: Extracting #5: cost 167 inf + 0 514.845 * * [simplify]: Extracting #6: cost 303 inf + 42 514.847 * * [simplify]: Extracting #7: cost 339 inf + 3174 514.856 * * [simplify]: Extracting #8: cost 205 inf + 36558 514.873 * * [simplify]: Extracting #9: cost 72 inf + 97102 514.898 * * [simplify]: Extracting #10: cost 2 inf + 133423 514.923 * * [simplify]: Extracting #11: cost 0 inf + 135092 514.949 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda1 lambda2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 514.949 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (+ (* lambda1 lambda1) (* lambda2 lambda2)) (* lambda1 lambda2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 514.950 * * * * [progress]: [ 1704 / 4754 ] simplifiying candidate # 514.950 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 514.950 * * [simplify]: iters left: 6 (48 enodes) 514.964 * * [simplify]: iters left: 5 (247 enodes) 515.029 * * [simplify]: Extracting #0: cost 1 inf + 0 515.029 * * [simplify]: Extracting #1: cost 3 inf + 0 515.029 * * [simplify]: Extracting #2: cost 6 inf + 0 515.029 * * [simplify]: Extracting #3: cost 10 inf + 0 515.029 * * [simplify]: Extracting #4: cost 24 inf + 0 515.029 * * [simplify]: Extracting #5: cost 168 inf + 0 515.030 * * [simplify]: Extracting #6: cost 321 inf + 1 515.032 * * [simplify]: Extracting #7: cost 352 inf + 3093 515.039 * * [simplify]: Extracting #8: cost 198 inf + 45099 515.062 * * [simplify]: Extracting #9: cost 41 inf + 120115 515.086 * * [simplify]: Extracting #10: cost 11 inf + 130896 515.113 * * [simplify]: Extracting #11: cost 1 inf + 138508 515.139 * * [simplify]: Extracting #12: cost 0 inf + 139933 515.165 * * [simplify]: Extracting #13: cost 0 inf + 139813 515.191 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 515.191 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.192 * * * * [progress]: [ 1705 / 4754 ] simplifiying candidate # 515.192 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 515.192 * * [simplify]: iters left: 6 (48 enodes) 515.207 * * [simplify]: iters left: 5 (245 enodes) 515.270 * * [simplify]: Extracting #0: cost 1 inf + 0 515.270 * * [simplify]: Extracting #1: cost 3 inf + 0 515.270 * * [simplify]: Extracting #2: cost 6 inf + 0 515.270 * * [simplify]: Extracting #3: cost 10 inf + 0 515.270 * * [simplify]: Extracting #4: cost 24 inf + 0 515.270 * * [simplify]: Extracting #5: cost 164 inf + 0 515.271 * * [simplify]: Extracting #6: cost 298 inf + 44 515.273 * * [simplify]: Extracting #7: cost 318 inf + 3098 515.277 * * [simplify]: Extracting #8: cost 221 inf + 21532 515.285 * * [simplify]: Extracting #9: cost 147 inf + 48423 515.302 * * [simplify]: Extracting #10: cost 41 inf + 99586 515.325 * * [simplify]: Extracting #11: cost 1 inf + 124786 515.351 * * [simplify]: Extracting #12: cost 0 inf + 126571 515.375 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 515.375 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.376 * * * * [progress]: [ 1706 / 4754 ] simplifiying candidate # 515.377 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 515.377 * * [simplify]: iters left: 6 (46 enodes) 515.390 * * [simplify]: iters left: 5 (232 enodes) 515.443 * * [simplify]: Extracting #0: cost 1 inf + 0 515.443 * * [simplify]: Extracting #1: cost 3 inf + 0 515.443 * * [simplify]: Extracting #2: cost 5 inf + 0 515.443 * * [simplify]: Extracting #3: cost 7 inf + 0 515.443 * * [simplify]: Extracting #4: cost 14 inf + 0 515.443 * * [simplify]: Extracting #5: cost 103 inf + 0 515.443 * * [simplify]: Extracting #6: cost 217 inf + 1 515.445 * * [simplify]: Extracting #7: cost 246 inf + 1837 515.448 * * [simplify]: Extracting #8: cost 140 inf + 24129 515.459 * * [simplify]: Extracting #9: cost 47 inf + 62026 515.473 * * [simplify]: Extracting #10: cost 6 inf + 84022 515.490 * * [simplify]: Extracting #11: cost 0 inf + 88453 515.508 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 515.508 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.509 * * * * [progress]: [ 1707 / 4754 ] simplifiying candidate # 515.509 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 515.510 * * [simplify]: iters left: 6 (47 enodes) 515.523 * * [simplify]: iters left: 5 (241 enodes) 515.584 * * [simplify]: Extracting #0: cost 1 inf + 0 515.584 * * [simplify]: Extracting #1: cost 3 inf + 0 515.584 * * [simplify]: Extracting #2: cost 6 inf + 0 515.585 * * [simplify]: Extracting #3: cost 10 inf + 0 515.585 * * [simplify]: Extracting #4: cost 28 inf + 0 515.585 * * [simplify]: Extracting #5: cost 183 inf + 0 515.586 * * [simplify]: Extracting #6: cost 307 inf + 44 515.587 * * [simplify]: Extracting #7: cost 323 inf + 4031 515.593 * * [simplify]: Extracting #8: cost 164 inf + 42562 515.608 * * [simplify]: Extracting #9: cost 65 inf + 89024 515.630 * * [simplify]: Extracting #10: cost 3 inf + 125531 515.653 * * [simplify]: Extracting #11: cost 0 inf + 126418 515.680 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.680 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.681 * * * * [progress]: [ 1708 / 4754 ] simplifiying candidate # 515.681 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 515.681 * * [simplify]: iters left: 6 (45 enodes) 515.694 * * [simplify]: iters left: 5 (230 enodes) 515.746 * * [simplify]: Extracting #0: cost 1 inf + 0 515.746 * * [simplify]: Extracting #1: cost 4 inf + 0 515.746 * * [simplify]: Extracting #2: cost 7 inf + 0 515.747 * * [simplify]: Extracting #3: cost 14 inf + 0 515.747 * * [simplify]: Extracting #4: cost 98 inf + 0 515.747 * * [simplify]: Extracting #5: cost 206 inf + 42 515.748 * * [simplify]: Extracting #6: cost 235 inf + 1634 515.751 * * [simplify]: Extracting #7: cost 160 inf + 14329 515.756 * * [simplify]: Extracting #8: cost 96 inf + 35349 515.768 * * [simplify]: Extracting #9: cost 14 inf + 74000 515.784 * * [simplify]: Extracting #10: cost 1 inf + 83352 515.800 * * [simplify]: Extracting #11: cost 0 inf + 84617 515.815 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 515.815 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.816 * * * * [progress]: [ 1709 / 4754 ] simplifiying candidate # 515.816 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 515.816 * * [simplify]: iters left: 6 (47 enodes) 515.831 * * [simplify]: iters left: 5 (241 enodes) 515.894 * * [simplify]: Extracting #0: cost 1 inf + 0 515.894 * * [simplify]: Extracting #1: cost 3 inf + 0 515.894 * * [simplify]: Extracting #2: cost 6 inf + 0 515.894 * * [simplify]: Extracting #3: cost 10 inf + 0 515.894 * * [simplify]: Extracting #4: cost 28 inf + 0 515.894 * * [simplify]: Extracting #5: cost 181 inf + 0 515.895 * * [simplify]: Extracting #6: cost 307 inf + 44 515.897 * * [simplify]: Extracting #7: cost 327 inf + 2740 515.903 * * [simplify]: Extracting #8: cost 172 inf + 40619 515.917 * * [simplify]: Extracting #9: cost 69 inf + 87818 515.940 * * [simplify]: Extracting #10: cost 5 inf + 122059 515.963 * * [simplify]: Extracting #11: cost 0 inf + 126698 515.988 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 515.988 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 515.989 * * * * [progress]: [ 1710 / 4754 ] simplifiying candidate # 515.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 515.990 * * [simplify]: iters left: 6 (45 enodes) 516.004 * * [simplify]: iters left: 5 (223 enodes) 516.058 * * [simplify]: Extracting #0: cost 1 inf + 0 516.058 * * [simplify]: Extracting #1: cost 3 inf + 0 516.058 * * [simplify]: Extracting #2: cost 6 inf + 0 516.058 * * [simplify]: Extracting #3: cost 10 inf + 0 516.058 * * [simplify]: Extracting #4: cost 20 inf + 0 516.058 * * [simplify]: Extracting #5: cost 124 inf + 0 516.059 * * [simplify]: Extracting #6: cost 237 inf + 1 516.060 * * [simplify]: Extracting #7: cost 274 inf + 1598 516.062 * * [simplify]: Extracting #8: cost 193 inf + 16218 516.069 * * [simplify]: Extracting #9: cost 119 inf + 40879 516.082 * * [simplify]: Extracting #10: cost 35 inf + 78752 516.101 * * [simplify]: Extracting #11: cost 2 inf + 106109 516.121 * * [simplify]: Extracting #12: cost 0 inf + 108999 516.143 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 516.144 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 516.144 * * * * [progress]: [ 1711 / 4754 ] simplifiying candidate # 516.145 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 516.145 * * [simplify]: iters left: 6 (46 enodes) 516.157 * * [simplify]: iters left: 5 (231 enodes) 516.211 * * [simplify]: Extracting #0: cost 1 inf + 0 516.211 * * [simplify]: Extracting #1: cost 3 inf + 0 516.211 * * [simplify]: Extracting #2: cost 6 inf + 0 516.211 * * [simplify]: Extracting #3: cost 10 inf + 0 516.211 * * [simplify]: Extracting #4: cost 20 inf + 0 516.211 * * [simplify]: Extracting #5: cost 127 inf + 0 516.215 * * [simplify]: Extracting #6: cost 257 inf + 1 516.215 * * [simplify]: Extracting #7: cost 291 inf + 1396 516.219 * * [simplify]: Extracting #8: cost 195 inf + 17324 516.227 * * [simplify]: Extracting #9: cost 113 inf + 47212 516.242 * * [simplify]: Extracting #10: cost 31 inf + 87263 516.261 * * [simplify]: Extracting #11: cost 2 inf + 107128 516.282 * * [simplify]: Extracting #12: cost 0 inf + 110498 516.305 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 516.305 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 516.305 * * * * [progress]: [ 1712 / 4754 ] simplifiying candidate # 516.306 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 516.306 * * [simplify]: iters left: 6 (46 enodes) 516.320 * * [simplify]: iters left: 5 (233 enodes) 516.379 * * [simplify]: Extracting #0: cost 1 inf + 0 516.379 * * [simplify]: Extracting #1: cost 3 inf + 0 516.379 * * [simplify]: Extracting #2: cost 6 inf + 0 516.379 * * [simplify]: Extracting #3: cost 10 inf + 0 516.379 * * [simplify]: Extracting #4: cost 20 inf + 0 516.379 * * [simplify]: Extracting #5: cost 128 inf + 0 516.380 * * [simplify]: Extracting #6: cost 271 inf + 1 516.381 * * [simplify]: Extracting #7: cost 296 inf + 1842 516.384 * * [simplify]: Extracting #8: cost 222 inf + 12804 516.391 * * [simplify]: Extracting #9: cost 125 inf + 45337 516.406 * * [simplify]: Extracting #10: cost 31 inf + 89790 516.426 * * [simplify]: Extracting #11: cost 2 inf + 111035 516.448 * * [simplify]: Extracting #12: cost 0 inf + 114245 516.471 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)))))) 516.471 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 516.472 * * * * [progress]: [ 1713 / 4754 ] simplifiying candidate # 516.472 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 516.472 * * [simplify]: iters left: 6 (46 enodes) 516.485 * * [simplify]: iters left: 5 (231 enodes) 516.541 * * [simplify]: Extracting #0: cost 1 inf + 0 516.541 * * [simplify]: Extracting #1: cost 3 inf + 0 516.541 * * [simplify]: Extracting #2: cost 6 inf + 0 516.541 * * [simplify]: Extracting #3: cost 10 inf + 0 516.541 * * [simplify]: Extracting #4: cost 22 inf + 0 516.542 * * [simplify]: Extracting #5: cost 127 inf + 0 516.542 * * [simplify]: Extracting #6: cost 250 inf + 44 516.543 * * [simplify]: Extracting #7: cost 262 inf + 2617 516.546 * * [simplify]: Extracting #8: cost 179 inf + 18735 516.557 * * [simplify]: Extracting #9: cost 60 inf + 69822 516.575 * * [simplify]: Extracting #10: cost 11 inf + 93603 516.594 * * [simplify]: Extracting #11: cost 2 inf + 100083 516.614 * * [simplify]: Extracting #12: cost 0 inf + 103533 516.637 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 516.637 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 516.638 * * * * [progress]: [ 1714 / 4754 ] simplifiying candidate # 516.638 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 516.639 * * [simplify]: iters left: 6 (43 enodes) 516.650 * * [simplify]: iters left: 5 (206 enodes) 516.694 * * [simplify]: Extracting #0: cost 1 inf + 0 516.694 * * [simplify]: Extracting #1: cost 4 inf + 0 516.694 * * [simplify]: Extracting #2: cost 7 inf + 0 516.694 * * [simplify]: Extracting #3: cost 14 inf + 0 516.694 * * [simplify]: Extracting #4: cost 86 inf + 0 516.695 * * [simplify]: Extracting #5: cost 186 inf + 1 516.696 * * [simplify]: Extracting #6: cost 207 inf + 1353 516.703 * * [simplify]: Extracting #7: cost 114 inf + 23146 516.713 * * [simplify]: Extracting #8: cost 30 inf + 64179 516.726 * * [simplify]: Extracting #9: cost 2 inf + 74169 516.740 * * [simplify]: Extracting #10: cost 0 inf + 74935 516.753 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 516.753 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 516.754 * * * * [progress]: [ 1715 / 4754 ] simplifiying candidate # 516.754 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 516.755 * * [simplify]: iters left: 6 (45 enodes) 516.768 * * [simplify]: iters left: 5 (227 enodes) 516.823 * * [simplify]: Extracting #0: cost 1 inf + 0 516.823 * * [simplify]: Extracting #1: cost 3 inf + 0 516.823 * * [simplify]: Extracting #2: cost 6 inf + 0 516.823 * * [simplify]: Extracting #3: cost 10 inf + 0 516.823 * * [simplify]: Extracting #4: cost 24 inf + 0 516.824 * * [simplify]: Extracting #5: cost 136 inf + 0 516.824 * * [simplify]: Extracting #6: cost 253 inf + 44 516.826 * * [simplify]: Extracting #7: cost 261 inf + 3065 516.829 * * [simplify]: Extracting #8: cost 178 inf + 19671 516.835 * * [simplify]: Extracting #9: cost 119 inf + 38517 516.850 * * [simplify]: Extracting #10: cost 23 inf + 81959 516.871 * * [simplify]: Extracting #11: cost 2 inf + 98125 516.890 * * [simplify]: Extracting #12: cost 0 inf + 100855 516.914 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 516.914 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 516.915 * * * * [progress]: [ 1716 / 4754 ] simplifiying candidate # 516.915 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 516.915 * * [simplify]: iters left: 6 (39 enodes) 516.926 * * [simplify]: iters left: 5 (190 enodes) 516.969 * * [simplify]: Extracting #0: cost 1 inf + 0 516.969 * * [simplify]: Extracting #1: cost 4 inf + 0 516.969 * * [simplify]: Extracting #2: cost 7 inf + 0 516.970 * * [simplify]: Extracting #3: cost 14 inf + 0 516.970 * * [simplify]: Extracting #4: cost 82 inf + 0 516.970 * * [simplify]: Extracting #5: cost 176 inf + 1 516.971 * * [simplify]: Extracting #6: cost 205 inf + 539 516.972 * * [simplify]: Extracting #7: cost 159 inf + 6843 516.978 * * [simplify]: Extracting #8: cost 61 inf + 39589 516.988 * * [simplify]: Extracting #9: cost 10 inf + 63317 517.001 * * [simplify]: Extracting #10: cost 1 inf + 70314 517.014 * * [simplify]: Extracting #11: cost 0 inf + 71579 517.029 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 517.029 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 517.030 * * * * [progress]: [ 1717 / 4754 ] simplifiying candidate # 517.030 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 517.030 * * [simplify]: iters left: 6 (45 enodes) 517.043 * * [simplify]: iters left: 5 (227 enodes) 517.095 * * [simplify]: Extracting #0: cost 1 inf + 0 517.095 * * [simplify]: Extracting #1: cost 3 inf + 0 517.095 * * [simplify]: Extracting #2: cost 6 inf + 0 517.095 * * [simplify]: Extracting #3: cost 10 inf + 0 517.095 * * [simplify]: Extracting #4: cost 24 inf + 0 517.095 * * [simplify]: Extracting #5: cost 135 inf + 0 517.096 * * [simplify]: Extracting #6: cost 253 inf + 44 517.097 * * [simplify]: Extracting #7: cost 262 inf + 2902 517.103 * * [simplify]: Extracting #8: cost 177 inf + 19630 517.110 * * [simplify]: Extracting #9: cost 117 inf + 40024 517.124 * * [simplify]: Extracting #10: cost 24 inf + 81816 517.142 * * [simplify]: Extracting #11: cost 2 inf + 98445 517.161 * * [simplify]: Extracting #12: cost 0 inf + 101175 517.180 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 517.180 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 517.181 * * * * [progress]: [ 1718 / 4754 ] simplifiying candidate # 517.181 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 517.181 * * [simplify]: iters left: 6 (47 enodes) 517.196 * * [simplify]: iters left: 5 (248 enodes) 517.257 * * [simplify]: Extracting #0: cost 1 inf + 0 517.257 * * [simplify]: Extracting #1: cost 3 inf + 0 517.257 * * [simplify]: Extracting #2: cost 6 inf + 0 517.257 * * [simplify]: Extracting #3: cost 10 inf + 0 517.257 * * [simplify]: Extracting #4: cost 20 inf + 0 517.261 * * [simplify]: Extracting #5: cost 134 inf + 0 517.261 * * [simplify]: Extracting #6: cost 291 inf + 1 517.262 * * [simplify]: Extracting #7: cost 327 inf + 2119 517.267 * * [simplify]: Extracting #8: cost 201 inf + 29373 517.282 * * [simplify]: Extracting #9: cost 59 inf + 86503 517.302 * * [simplify]: Extracting #10: cost 13 inf + 111155 517.325 * * [simplify]: Extracting #11: cost 0 inf + 120047 517.348 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))))) 517.348 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 517.349 * * * * [progress]: [ 1719 / 4754 ] simplifiying candidate # 517.349 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 517.349 * * [simplify]: iters left: 6 (48 enodes) 517.363 * * [simplify]: iters left: 5 (252 enodes) 517.425 * * [simplify]: Extracting #0: cost 1 inf + 0 517.426 * * [simplify]: Extracting #1: cost 3 inf + 0 517.426 * * [simplify]: Extracting #2: cost 6 inf + 0 517.426 * * [simplify]: Extracting #3: cost 10 inf + 0 517.426 * * [simplify]: Extracting #4: cost 20 inf + 0 517.426 * * [simplify]: Extracting #5: cost 133 inf + 0 517.426 * * [simplify]: Extracting #6: cost 297 inf + 1 517.428 * * [simplify]: Extracting #7: cost 332 inf + 1312 517.432 * * [simplify]: Extracting #8: cost 207 inf + 26288 517.441 * * [simplify]: Extracting #9: cost 128 inf + 52017 517.457 * * [simplify]: Extracting #10: cost 35 inf + 93825 517.478 * * [simplify]: Extracting #11: cost 1 inf + 115583 517.501 * * [simplify]: Extracting #12: cost 0 inf + 117288 517.524 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 517.525 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 517.526 * * * * [progress]: [ 1720 / 4754 ] simplifiying candidate # 517.526 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 517.527 * * [simplify]: iters left: 6 (48 enodes) 517.540 * * [simplify]: iters left: 5 (252 enodes) 517.601 * * [simplify]: Extracting #0: cost 1 inf + 0 517.601 * * [simplify]: Extracting #1: cost 3 inf + 0 517.601 * * [simplify]: Extracting #2: cost 6 inf + 0 517.601 * * [simplify]: Extracting #3: cost 10 inf + 0 517.602 * * [simplify]: Extracting #4: cost 20 inf + 0 517.602 * * [simplify]: Extracting #5: cost 136 inf + 0 517.602 * * [simplify]: Extracting #6: cost 298 inf + 1 517.604 * * [simplify]: Extracting #7: cost 323 inf + 1799 517.608 * * [simplify]: Extracting #8: cost 209 inf + 26474 517.618 * * [simplify]: Extracting #9: cost 127 inf + 51841 517.634 * * [simplify]: Extracting #10: cost 29 inf + 94296 517.659 * * [simplify]: Extracting #11: cost 0 inf + 115779 517.681 * * [simplify]: Extracting #12: cost 0 inf + 115739 517.703 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 517.703 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 517.704 * * * * [progress]: [ 1721 / 4754 ] simplifiying candidate # 517.704 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 517.705 * * [simplify]: iters left: 6 (48 enodes) 517.718 * * [simplify]: iters left: 5 (254 enodes) 517.781 * * [simplify]: Extracting #0: cost 1 inf + 0 517.781 * * [simplify]: Extracting #1: cost 3 inf + 0 517.781 * * [simplify]: Extracting #2: cost 6 inf + 0 517.781 * * [simplify]: Extracting #3: cost 10 inf + 0 517.781 * * [simplify]: Extracting #4: cost 20 inf + 0 517.781 * * [simplify]: Extracting #5: cost 138 inf + 0 517.782 * * [simplify]: Extracting #6: cost 291 inf + 44 517.783 * * [simplify]: Extracting #7: cost 294 inf + 3676 517.789 * * [simplify]: Extracting #8: cost 174 inf + 28978 517.801 * * [simplify]: Extracting #9: cost 52 inf + 77048 517.823 * * [simplify]: Extracting #10: cost 9 inf + 100697 517.845 * * [simplify]: Extracting #11: cost 0 inf + 106906 517.865 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) 517.865 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 517.866 * * * * [progress]: [ 1722 / 4754 ] simplifiying candidate # 517.866 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 517.867 * * [simplify]: iters left: 6 (46 enodes) 517.880 * * [simplify]: iters left: 5 (238 enodes) 517.937 * * [simplify]: Extracting #0: cost 1 inf + 0 517.937 * * [simplify]: Extracting #1: cost 3 inf + 0 517.937 * * [simplify]: Extracting #2: cost 6 inf + 0 517.937 * * [simplify]: Extracting #3: cost 10 inf + 0 517.937 * * [simplify]: Extracting #4: cost 24 inf + 0 517.938 * * [simplify]: Extracting #5: cost 136 inf + 0 517.938 * * [simplify]: Extracting #6: cost 261 inf + 1 517.939 * * [simplify]: Extracting #7: cost 282 inf + 1311 517.942 * * [simplify]: Extracting #8: cost 207 inf + 13768 517.948 * * [simplify]: Extracting #9: cost 132 inf + 39333 517.963 * * [simplify]: Extracting #10: cost 19 inf + 90591 517.985 * * [simplify]: Extracting #11: cost 2 inf + 101242 518.005 * * [simplify]: Extracting #12: cost 1 inf + 102827 518.024 * * [simplify]: Extracting #13: cost 0 inf + 104412 518.044 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 518.044 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.045 * * * * [progress]: [ 1723 / 4754 ] simplifiying candidate # 518.045 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 518.045 * * [simplify]: iters left: 6 (47 enodes) 518.060 * * [simplify]: iters left: 5 (246 enodes) 518.118 * * [simplify]: Extracting #0: cost 1 inf + 0 518.118 * * [simplify]: Extracting #1: cost 3 inf + 0 518.118 * * [simplify]: Extracting #2: cost 6 inf + 0 518.118 * * [simplify]: Extracting #3: cost 10 inf + 0 518.118 * * [simplify]: Extracting #4: cost 24 inf + 0 518.119 * * [simplify]: Extracting #5: cost 144 inf + 0 518.119 * * [simplify]: Extracting #6: cost 279 inf + 44 518.121 * * [simplify]: Extracting #7: cost 284 inf + 3545 518.125 * * [simplify]: Extracting #8: cost 167 inf + 25938 518.139 * * [simplify]: Extracting #9: cost 72 inf + 61300 518.157 * * [simplify]: Extracting #10: cost 6 inf + 95213 518.177 * * [simplify]: Extracting #11: cost 0 inf + 101017 518.196 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 518.196 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.197 * * * * [progress]: [ 1724 / 4754 ] simplifiying candidate # 518.197 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 518.197 * * [simplify]: iters left: 6 (45 enodes) 518.209 * * [simplify]: iters left: 5 (236 enodes) 518.266 * * [simplify]: Extracting #0: cost 1 inf + 0 518.266 * * [simplify]: Extracting #1: cost 3 inf + 0 518.266 * * [simplify]: Extracting #2: cost 6 inf + 0 518.266 * * [simplify]: Extracting #3: cost 10 inf + 0 518.266 * * [simplify]: Extracting #4: cost 24 inf + 0 518.266 * * [simplify]: Extracting #5: cost 135 inf + 0 518.267 * * [simplify]: Extracting #6: cost 260 inf + 1 518.268 * * [simplify]: Extracting #7: cost 281 inf + 1391 518.271 * * [simplify]: Extracting #8: cost 208 inf + 13809 518.278 * * [simplify]: Extracting #9: cost 109 inf + 47956 518.297 * * [simplify]: Extracting #10: cost 22 inf + 89022 518.316 * * [simplify]: Extracting #11: cost 2 inf + 101358 518.335 * * [simplify]: Extracting #12: cost 0 inf + 104408 518.355 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 518.355 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.356 * * * * [progress]: [ 1725 / 4754 ] simplifiying candidate # 518.356 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 518.357 * * [simplify]: iters left: 6 (47 enodes) 518.371 * * [simplify]: iters left: 5 (246 enodes) 518.428 * * [simplify]: Extracting #0: cost 1 inf + 0 518.428 * * [simplify]: Extracting #1: cost 3 inf + 0 518.428 * * [simplify]: Extracting #2: cost 6 inf + 0 518.428 * * [simplify]: Extracting #3: cost 10 inf + 0 518.428 * * [simplify]: Extracting #4: cost 24 inf + 0 518.429 * * [simplify]: Extracting #5: cost 143 inf + 0 518.429 * * [simplify]: Extracting #6: cost 279 inf + 44 518.431 * * [simplify]: Extracting #7: cost 284 inf + 3545 518.435 * * [simplify]: Extracting #8: cost 167 inf + 26018 518.449 * * [simplify]: Extracting #9: cost 72 inf + 61540 518.466 * * [simplify]: Extracting #10: cost 6 inf + 95453 518.485 * * [simplify]: Extracting #11: cost 0 inf + 101257 518.506 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)))))) 518.506 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.506 * * * * [progress]: [ 1726 / 4754 ] simplifiying candidate # 518.507 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 518.507 * * [simplify]: iters left: 6 (48 enodes) 518.520 * * [simplify]: iters left: 5 (238 enodes) 518.576 * * [simplify]: Extracting #0: cost 1 inf + 0 518.576 * * [simplify]: Extracting #1: cost 3 inf + 0 518.576 * * [simplify]: Extracting #2: cost 6 inf + 0 518.576 * * [simplify]: Extracting #3: cost 10 inf + 0 518.576 * * [simplify]: Extracting #4: cost 20 inf + 0 518.576 * * [simplify]: Extracting #5: cost 131 inf + 0 518.577 * * [simplify]: Extracting #6: cost 275 inf + 1 518.578 * * [simplify]: Extracting #7: cost 310 inf + 1315 518.580 * * [simplify]: Extracting #8: cost 244 inf + 10773 518.586 * * [simplify]: Extracting #9: cost 157 inf + 37087 518.604 * * [simplify]: Extracting #10: cost 43 inf + 88737 518.625 * * [simplify]: Extracting #11: cost 0 inf + 121866 518.647 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 518.647 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.648 * * * * [progress]: [ 1727 / 4754 ] simplifiying candidate # 518.648 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 518.648 * * [simplify]: iters left: 6 (49 enodes) 518.662 * * [simplify]: iters left: 5 (246 enodes) 518.720 * * [simplify]: Extracting #0: cost 1 inf + 0 518.720 * * [simplify]: Extracting #1: cost 3 inf + 0 518.720 * * [simplify]: Extracting #2: cost 6 inf + 0 518.720 * * [simplify]: Extracting #3: cost 10 inf + 0 518.720 * * [simplify]: Extracting #4: cost 20 inf + 0 518.721 * * [simplify]: Extracting #5: cost 134 inf + 0 518.721 * * [simplify]: Extracting #6: cost 294 inf + 1 518.723 * * [simplify]: Extracting #7: cost 323 inf + 1601 518.725 * * [simplify]: Extracting #8: cost 232 inf + 15153 518.733 * * [simplify]: Extracting #9: cost 132 inf + 48966 518.749 * * [simplify]: Extracting #10: cost 37 inf + 95862 518.773 * * [simplify]: Extracting #11: cost 2 inf + 119471 518.797 * * [simplify]: Extracting #12: cost 0 inf + 122921 518.821 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 518.821 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.821 * * * * [progress]: [ 1728 / 4754 ] simplifiying candidate # 518.822 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 518.822 * * [simplify]: iters left: 6 (49 enodes) 518.835 * * [simplify]: iters left: 5 (246 enodes) 518.894 * * [simplify]: Extracting #0: cost 1 inf + 0 518.894 * * [simplify]: Extracting #1: cost 3 inf + 0 518.894 * * [simplify]: Extracting #2: cost 6 inf + 0 518.894 * * [simplify]: Extracting #3: cost 10 inf + 0 518.894 * * [simplify]: Extracting #4: cost 20 inf + 0 518.894 * * [simplify]: Extracting #5: cost 137 inf + 0 518.895 * * [simplify]: Extracting #6: cost 296 inf + 1 518.896 * * [simplify]: Extracting #7: cost 320 inf + 1478 518.899 * * [simplify]: Extracting #8: cost 229 inf + 16315 518.906 * * [simplify]: Extracting #9: cost 154 inf + 39696 518.923 * * [simplify]: Extracting #10: cost 48 inf + 88236 518.944 * * [simplify]: Extracting #11: cost 2 inf + 117747 518.966 * * [simplify]: Extracting #12: cost 0 inf + 121197 518.988 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 518.988 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 518.988 * * * * [progress]: [ 1729 / 4754 ] simplifiying candidate # 518.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 518.989 * * [simplify]: iters left: 6 (49 enodes) 519.004 * * [simplify]: iters left: 5 (244 enodes) 519.060 * * [simplify]: Extracting #0: cost 1 inf + 0 519.060 * * [simplify]: Extracting #1: cost 3 inf + 0 519.060 * * [simplify]: Extracting #2: cost 6 inf + 0 519.060 * * [simplify]: Extracting #3: cost 10 inf + 0 519.060 * * [simplify]: Extracting #4: cost 22 inf + 0 519.060 * * [simplify]: Extracting #5: cost 136 inf + 0 519.061 * * [simplify]: Extracting #6: cost 277 inf + 44 519.062 * * [simplify]: Extracting #7: cost 286 inf + 2496 519.066 * * [simplify]: Extracting #8: cost 207 inf + 17325 519.076 * * [simplify]: Extracting #9: cost 119 inf + 47611 519.090 * * [simplify]: Extracting #10: cost 39 inf + 84194 519.110 * * [simplify]: Extracting #11: cost 4 inf + 106176 519.131 * * [simplify]: Extracting #12: cost 0 inf + 111236 519.152 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) 519.152 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 519.152 * * * * [progress]: [ 1730 / 4754 ] simplifiying candidate # 519.153 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 519.153 * * [simplify]: iters left: 6 (47 enodes) 519.168 * * [simplify]: iters left: 5 (231 enodes) 519.219 * * [simplify]: Extracting #0: cost 1 inf + 0 519.219 * * [simplify]: Extracting #1: cost 3 inf + 0 519.219 * * [simplify]: Extracting #2: cost 6 inf + 0 519.219 * * [simplify]: Extracting #3: cost 10 inf + 0 519.219 * * [simplify]: Extracting #4: cost 24 inf + 0 519.220 * * [simplify]: Extracting #5: cost 136 inf + 0 519.220 * * [simplify]: Extracting #6: cost 249 inf + 42 519.221 * * [simplify]: Extracting #7: cost 266 inf + 1274 519.224 * * [simplify]: Extracting #8: cost 178 inf + 18396 519.233 * * [simplify]: Extracting #9: cost 109 inf + 42760 519.248 * * [simplify]: Extracting #10: cost 18 inf + 90292 519.267 * * [simplify]: Extracting #11: cost 1 inf + 103443 519.286 * * [simplify]: Extracting #12: cost 0 inf + 105148 519.305 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 519.305 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 519.306 * * * * [progress]: [ 1731 / 4754 ] simplifiying candidate # 519.306 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 519.306 * * [simplify]: iters left: 6 (48 enodes) 519.321 * * [simplify]: iters left: 5 (240 enodes) 519.375 * * [simplify]: Extracting #0: cost 1 inf + 0 519.375 * * [simplify]: Extracting #1: cost 3 inf + 0 519.375 * * [simplify]: Extracting #2: cost 6 inf + 0 519.375 * * [simplify]: Extracting #3: cost 10 inf + 0 519.375 * * [simplify]: Extracting #4: cost 24 inf + 0 519.375 * * [simplify]: Extracting #5: cost 145 inf + 0 519.376 * * [simplify]: Extracting #6: cost 276 inf + 44 519.377 * * [simplify]: Extracting #7: cost 281 inf + 2703 519.380 * * [simplify]: Extracting #8: cost 205 inf + 15840 519.389 * * [simplify]: Extracting #9: cost 131 inf + 38097 519.402 * * [simplify]: Extracting #10: cost 34 inf + 81135 519.422 * * [simplify]: Extracting #11: cost 2 inf + 101907 519.442 * * [simplify]: Extracting #12: cost 0 inf + 105277 519.461 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 519.461 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 519.462 * * * * [progress]: [ 1732 / 4754 ] simplifiying candidate # 519.462 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 519.462 * * [simplify]: iters left: 6 (46 enodes) 519.476 * * [simplify]: iters left: 5 (228 enodes) 519.528 * * [simplify]: Extracting #0: cost 1 inf + 0 519.528 * * [simplify]: Extracting #1: cost 3 inf + 0 519.528 * * [simplify]: Extracting #2: cost 6 inf + 0 519.528 * * [simplify]: Extracting #3: cost 10 inf + 0 519.528 * * [simplify]: Extracting #4: cost 24 inf + 0 519.528 * * [simplify]: Extracting #5: cost 135 inf + 0 519.529 * * [simplify]: Extracting #6: cost 249 inf + 1 519.530 * * [simplify]: Extracting #7: cost 267 inf + 1071 519.532 * * [simplify]: Extracting #8: cost 197 inf + 13196 519.538 * * [simplify]: Extracting #9: cost 135 inf + 33927 519.553 * * [simplify]: Extracting #10: cost 40 inf + 77398 519.571 * * [simplify]: Extracting #11: cost 2 inf + 102734 519.591 * * [simplify]: Extracting #12: cost 0 inf + 105504 519.610 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 519.610 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 519.611 * * * * [progress]: [ 1733 / 4754 ] simplifiying candidate # 519.611 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 519.611 * * [simplify]: iters left: 6 (48 enodes) 519.625 * * [simplify]: iters left: 5 (240 enodes) 519.681 * * [simplify]: Extracting #0: cost 1 inf + 0 519.681 * * [simplify]: Extracting #1: cost 3 inf + 0 519.681 * * [simplify]: Extracting #2: cost 6 inf + 0 519.681 * * [simplify]: Extracting #3: cost 10 inf + 0 519.681 * * [simplify]: Extracting #4: cost 24 inf + 0 519.682 * * [simplify]: Extracting #5: cost 144 inf + 0 519.682 * * [simplify]: Extracting #6: cost 276 inf + 44 519.683 * * [simplify]: Extracting #7: cost 281 inf + 2703 519.687 * * [simplify]: Extracting #8: cost 184 inf + 22051 519.695 * * [simplify]: Extracting #9: cost 98 inf + 51113 519.713 * * [simplify]: Extracting #10: cost 19 inf + 91323 519.733 * * [simplify]: Extracting #11: cost 2 inf + 102227 519.753 * * [simplify]: Extracting #12: cost 0 inf + 105677 519.772 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 519.772 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 519.773 * * * * [progress]: [ 1734 / 4754 ] simplifiying candidate # 519.773 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 519.774 * * [simplify]: iters left: 6 (48 enodes) 519.788 * * [simplify]: iters left: 5 (239 enodes) 519.842 * * [simplify]: Extracting #0: cost 1 inf + 0 519.842 * * [simplify]: Extracting #1: cost 3 inf + 0 519.842 * * [simplify]: Extracting #2: cost 6 inf + 0 519.842 * * [simplify]: Extracting #3: cost 10 inf + 0 519.842 * * [simplify]: Extracting #4: cost 20 inf + 0 519.843 * * [simplify]: Extracting #5: cost 128 inf + 0 519.843 * * [simplify]: Extracting #6: cost 273 inf + 42 519.844 * * [simplify]: Extracting #7: cost 308 inf + 1477 519.847 * * [simplify]: Extracting #8: cost 233 inf + 12877 519.853 * * [simplify]: Extracting #9: cost 145 inf + 41562 519.873 * * [simplify]: Extracting #10: cost 29 inf + 95719 519.893 * * [simplify]: Extracting #11: cost 0 inf + 115323 519.915 * * [simplify]: Extracting #12: cost 0 inf + 114603 519.936 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 519.936 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 519.937 * * * * [progress]: [ 1735 / 4754 ] simplifiying candidate # 519.937 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 519.937 * * [simplify]: iters left: 6 (49 enodes) 519.952 * * [simplify]: iters left: 5 (247 enodes) 520.009 * * [simplify]: Extracting #0: cost 1 inf + 0 520.009 * * [simplify]: Extracting #1: cost 3 inf + 0 520.009 * * [simplify]: Extracting #2: cost 6 inf + 0 520.009 * * [simplify]: Extracting #3: cost 10 inf + 0 520.009 * * [simplify]: Extracting #4: cost 20 inf + 0 520.009 * * [simplify]: Extracting #5: cost 131 inf + 0 520.010 * * [simplify]: Extracting #6: cost 293 inf + 1 520.011 * * [simplify]: Extracting #7: cost 323 inf + 1559 520.018 * * [simplify]: Extracting #8: cost 201 inf + 27203 520.034 * * [simplify]: Extracting #9: cost 63 inf + 86689 520.055 * * [simplify]: Extracting #10: cost 6 inf + 113469 520.076 * * [simplify]: Extracting #11: cost 0 inf + 115698 520.097 * * [simplify]: Extracting #12: cost 0 inf + 115458 520.120 * * [simplify]: Extracting #13: cost 0 inf + 115378 520.141 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 520.141 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 520.141 * * * * [progress]: [ 1736 / 4754 ] simplifiying candidate # 520.142 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 520.142 * * [simplify]: iters left: 6 (49 enodes) 520.155 * * [simplify]: iters left: 5 (247 enodes) 520.214 * * [simplify]: Extracting #0: cost 1 inf + 0 520.214 * * [simplify]: Extracting #1: cost 3 inf + 0 520.214 * * [simplify]: Extracting #2: cost 6 inf + 0 520.214 * * [simplify]: Extracting #3: cost 10 inf + 0 520.214 * * [simplify]: Extracting #4: cost 20 inf + 0 520.215 * * [simplify]: Extracting #5: cost 134 inf + 0 520.215 * * [simplify]: Extracting #6: cost 294 inf + 1 520.217 * * [simplify]: Extracting #7: cost 320 inf + 1275 520.220 * * [simplify]: Extracting #8: cost 211 inf + 20333 520.229 * * [simplify]: Extracting #9: cost 127 inf + 48639 520.243 * * [simplify]: Extracting #10: cost 46 inf + 83986 520.266 * * [simplify]: Extracting #11: cost 4 inf + 107929 520.286 * * [simplify]: Extracting #12: cost 1 inf + 111564 520.307 * * [simplify]: Extracting #13: cost 0 inf + 113229 520.328 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 520.328 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 520.329 * * * * [progress]: [ 1737 / 4754 ] simplifiying candidate # 520.329 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 520.330 * * [simplify]: iters left: 6 (49 enodes) 520.344 * * [simplify]: iters left: 5 (245 enodes) 520.403 * * [simplify]: Extracting #0: cost 1 inf + 0 520.403 * * [simplify]: Extracting #1: cost 3 inf + 0 520.403 * * [simplify]: Extracting #2: cost 6 inf + 0 520.403 * * [simplify]: Extracting #3: cost 10 inf + 0 520.403 * * [simplify]: Extracting #4: cost 22 inf + 0 520.403 * * [simplify]: Extracting #5: cost 133 inf + 0 520.404 * * [simplify]: Extracting #6: cost 275 inf + 44 520.406 * * [simplify]: Extracting #7: cost 269 inf + 4933 520.410 * * [simplify]: Extracting #8: cost 168 inf + 29362 520.427 * * [simplify]: Extracting #9: cost 57 inf + 76360 520.444 * * [simplify]: Extracting #10: cost 9 inf + 97913 520.463 * * [simplify]: Extracting #11: cost 2 inf + 101218 520.483 * * [simplify]: Extracting #12: cost 0 inf + 104308 520.502 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 520.502 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 520.503 * * * * [progress]: [ 1738 / 4754 ] simplifiying candidate # 520.503 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 520.504 * * [simplify]: iters left: 6 (47 enodes) 520.518 * * [simplify]: iters left: 5 (233 enodes) 520.572 * * [simplify]: Extracting #0: cost 1 inf + 0 520.572 * * [simplify]: Extracting #1: cost 3 inf + 0 520.572 * * [simplify]: Extracting #2: cost 6 inf + 0 520.573 * * [simplify]: Extracting #3: cost 10 inf + 0 520.573 * * [simplify]: Extracting #4: cost 24 inf + 0 520.573 * * [simplify]: Extracting #5: cost 134 inf + 0 520.574 * * [simplify]: Extracting #6: cost 257 inf + 1 520.575 * * [simplify]: Extracting #7: cost 274 inf + 1274 520.581 * * [simplify]: Extracting #8: cost 176 inf + 21002 520.590 * * [simplify]: Extracting #9: cost 87 inf + 57303 520.607 * * [simplify]: Extracting #10: cost 9 inf + 95520 520.630 * * [simplify]: Extracting #11: cost 1 inf + 100679 520.650 * * [simplify]: Extracting #12: cost 0 inf + 102424 520.669 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))))))) 520.669 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 520.669 * * * * [progress]: [ 1739 / 4754 ] simplifiying candidate # 520.670 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 520.670 * * [simplify]: iters left: 6 (48 enodes) 520.683 * * [simplify]: iters left: 5 (241 enodes) 520.738 * * [simplify]: Extracting #0: cost 1 inf + 0 520.738 * * [simplify]: Extracting #1: cost 3 inf + 0 520.738 * * [simplify]: Extracting #2: cost 6 inf + 0 520.738 * * [simplify]: Extracting #3: cost 10 inf + 0 520.738 * * [simplify]: Extracting #4: cost 24 inf + 0 520.738 * * [simplify]: Extracting #5: cost 142 inf + 0 520.739 * * [simplify]: Extracting #6: cost 275 inf + 44 520.740 * * [simplify]: Extracting #7: cost 278 inf + 3349 520.746 * * [simplify]: Extracting #8: cost 204 inf + 13610 520.751 * * [simplify]: Extracting #9: cost 143 inf + 32086 520.763 * * [simplify]: Extracting #10: cost 36 inf + 74563 520.780 * * [simplify]: Extracting #11: cost 3 inf + 94998 520.798 * * [simplify]: Extracting #12: cost 0 inf + 98873 520.816 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 520.816 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 520.817 * * * * [progress]: [ 1740 / 4754 ] simplifiying candidate # 520.817 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 520.817 * * [simplify]: iters left: 6 (46 enodes) 520.831 * * [simplify]: iters left: 5 (231 enodes) 520.884 * * [simplify]: Extracting #0: cost 1 inf + 0 520.884 * * [simplify]: Extracting #1: cost 3 inf + 0 520.884 * * [simplify]: Extracting #2: cost 6 inf + 0 520.884 * * [simplify]: Extracting #3: cost 10 inf + 0 520.884 * * [simplify]: Extracting #4: cost 24 inf + 0 520.885 * * [simplify]: Extracting #5: cost 134 inf + 0 520.885 * * [simplify]: Extracting #6: cost 257 inf + 1 520.886 * * [simplify]: Extracting #7: cost 276 inf + 1433 520.889 * * [simplify]: Extracting #8: cost 184 inf + 18825 520.903 * * [simplify]: Extracting #9: cost 68 inf + 66989 520.920 * * [simplify]: Extracting #10: cost 14 inf + 93316 520.939 * * [simplify]: Extracting #11: cost 0 inf + 103104 520.959 * * [simplify]: Extracting #12: cost 0 inf + 102904 520.978 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 520.978 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 520.978 * * * * [progress]: [ 1741 / 4754 ] simplifiying candidate # 520.979 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 520.979 * * [simplify]: iters left: 6 (48 enodes) 520.994 * * [simplify]: iters left: 5 (241 enodes) 521.048 * * [simplify]: Extracting #0: cost 1 inf + 0 521.048 * * [simplify]: Extracting #1: cost 3 inf + 0 521.048 * * [simplify]: Extracting #2: cost 6 inf + 0 521.049 * * [simplify]: Extracting #3: cost 10 inf + 0 521.049 * * [simplify]: Extracting #4: cost 24 inf + 0 521.049 * * [simplify]: Extracting #5: cost 141 inf + 0 521.049 * * [simplify]: Extracting #6: cost 275 inf + 44 521.051 * * [simplify]: Extracting #7: cost 278 inf + 3349 521.056 * * [simplify]: Extracting #8: cost 204 inf + 13891 521.062 * * [simplify]: Extracting #9: cost 143 inf + 32326 521.074 * * [simplify]: Extracting #10: cost 36 inf + 74803 521.091 * * [simplify]: Extracting #11: cost 3 inf + 95238 521.109 * * [simplify]: Extracting #12: cost 0 inf + 99113 521.127 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 521.127 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 521.128 * * * * [progress]: [ 1742 / 4754 ] simplifiying candidate # 521.129 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 521.129 * * [simplify]: iters left: 6 (48 enodes) 521.143 * * [simplify]: iters left: 5 (239 enodes) 521.200 * * [simplify]: Extracting #0: cost 1 inf + 0 521.200 * * [simplify]: Extracting #1: cost 3 inf + 0 521.200 * * [simplify]: Extracting #2: cost 6 inf + 0 521.200 * * [simplify]: Extracting #3: cost 10 inf + 0 521.200 * * [simplify]: Extracting #4: cost 20 inf + 0 521.200 * * [simplify]: Extracting #5: cost 132 inf + 0 521.201 * * [simplify]: Extracting #6: cost 279 inf + 42 521.202 * * [simplify]: Extracting #7: cost 310 inf + 2202 521.206 * * [simplify]: Extracting #8: cost 214 inf + 20261 521.216 * * [simplify]: Extracting #9: cost 136 inf + 46866 521.232 * * [simplify]: Extracting #10: cost 43 inf + 90189 521.254 * * [simplify]: Extracting #11: cost 1 inf + 119866 521.276 * * [simplify]: Extracting #12: cost 0 inf + 121571 521.298 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 521.299 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 521.300 * * * * [progress]: [ 1743 / 4754 ] simplifiying candidate # 521.300 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 521.301 * * [simplify]: iters left: 6 (49 enodes) 521.314 * * [simplify]: iters left: 5 (247 enodes) 521.375 * * [simplify]: Extracting #0: cost 1 inf + 0 521.375 * * [simplify]: Extracting #1: cost 3 inf + 0 521.375 * * [simplify]: Extracting #2: cost 6 inf + 0 521.375 * * [simplify]: Extracting #3: cost 10 inf + 0 521.375 * * [simplify]: Extracting #4: cost 20 inf + 0 521.375 * * [simplify]: Extracting #5: cost 135 inf + 0 521.376 * * [simplify]: Extracting #6: cost 299 inf + 1 521.377 * * [simplify]: Extracting #7: cost 328 inf + 2162 521.380 * * [simplify]: Extracting #8: cost 243 inf + 13300 521.387 * * [simplify]: Extracting #9: cost 146 inf + 44477 521.402 * * [simplify]: Extracting #10: cost 45 inf + 90486 521.423 * * [simplify]: Extracting #11: cost 2 inf + 119696 521.446 * * [simplify]: Extracting #12: cost 0 inf + 122706 521.470 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) 521.470 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 521.471 * * * * [progress]: [ 1744 / 4754 ] simplifiying candidate # 521.471 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 521.471 * * [simplify]: iters left: 6 (49 enodes) 521.484 * * [simplify]: iters left: 5 (247 enodes) 521.545 * * [simplify]: Extracting #0: cost 1 inf + 0 521.545 * * [simplify]: Extracting #1: cost 3 inf + 0 521.545 * * [simplify]: Extracting #2: cost 6 inf + 0 521.545 * * [simplify]: Extracting #3: cost 10 inf + 0 521.545 * * [simplify]: Extracting #4: cost 20 inf + 0 521.545 * * [simplify]: Extracting #5: cost 138 inf + 0 521.546 * * [simplify]: Extracting #6: cost 301 inf + 1 521.547 * * [simplify]: Extracting #7: cost 322 inf + 2326 521.550 * * [simplify]: Extracting #8: cost 249 inf + 12320 521.557 * * [simplify]: Extracting #9: cost 149 inf + 42765 521.574 * * [simplify]: Extracting #10: cost 33 inf + 95956 521.595 * * [simplify]: Extracting #11: cost 4 inf + 114562 521.619 * * [simplify]: Extracting #12: cost 1 inf + 119317 521.642 * * [simplify]: Extracting #13: cost 0 inf + 121102 521.664 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) 521.664 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 521.665 * * * * [progress]: [ 1745 / 4754 ] simplifiying candidate # 521.665 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 521.665 * * [simplify]: iters left: 6 (49 enodes) 521.679 * * [simplify]: iters left: 5 (245 enodes) 521.736 * * [simplify]: Extracting #0: cost 1 inf + 0 521.736 * * [simplify]: Extracting #1: cost 3 inf + 0 521.736 * * [simplify]: Extracting #2: cost 6 inf + 0 521.736 * * [simplify]: Extracting #3: cost 10 inf + 0 521.737 * * [simplify]: Extracting #4: cost 22 inf + 0 521.737 * * [simplify]: Extracting #5: cost 137 inf + 0 521.737 * * [simplify]: Extracting #6: cost 283 inf + 44 521.739 * * [simplify]: Extracting #7: cost 281 inf + 4398 521.743 * * [simplify]: Extracting #8: cost 183 inf + 26818 521.755 * * [simplify]: Extracting #9: cost 57 inf + 76902 521.777 * * [simplify]: Extracting #10: cost 4 inf + 106639 521.797 * * [simplify]: Extracting #11: cost 0 inf + 111206 521.817 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 521.817 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 521.818 * * * * [progress]: [ 1746 / 4754 ] simplifiying candidate # 521.819 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 521.819 * * [simplify]: iters left: 6 (47 enodes) 521.832 * * [simplify]: iters left: 5 (233 enodes) 521.890 * * [simplify]: Extracting #0: cost 1 inf + 0 521.890 * * [simplify]: Extracting #1: cost 3 inf + 0 521.890 * * [simplify]: Extracting #2: cost 6 inf + 0 521.890 * * [simplify]: Extracting #3: cost 10 inf + 0 521.890 * * [simplify]: Extracting #4: cost 24 inf + 0 521.891 * * [simplify]: Extracting #5: cost 140 inf + 0 521.891 * * [simplify]: Extracting #6: cost 263 inf + 1 521.892 * * [simplify]: Extracting #7: cost 279 inf + 1635 521.895 * * [simplify]: Extracting #8: cost 212 inf + 13435 521.900 * * [simplify]: Extracting #9: cost 157 inf + 29876 521.913 * * [simplify]: Extracting #10: cost 36 inf + 81798 521.934 * * [simplify]: Extracting #11: cost 4 inf + 102812 521.953 * * [simplify]: Extracting #12: cost 1 inf + 107407 521.973 * * [simplify]: Extracting #13: cost 0 inf + 109112 521.993 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 521.993 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 521.994 * * * * [progress]: [ 1747 / 4754 ] simplifiying candidate # 521.994 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 521.994 * * [simplify]: iters left: 6 (48 enodes) 522.007 * * [simplify]: iters left: 5 (241 enodes) 522.063 * * [simplify]: Extracting #0: cost 1 inf + 0 522.063 * * [simplify]: Extracting #1: cost 3 inf + 0 522.063 * * [simplify]: Extracting #2: cost 6 inf + 0 522.063 * * [simplify]: Extracting #3: cost 10 inf + 0 522.063 * * [simplify]: Extracting #4: cost 24 inf + 0 522.064 * * [simplify]: Extracting #5: cost 146 inf + 0 522.064 * * [simplify]: Extracting #6: cost 280 inf + 44 522.066 * * [simplify]: Extracting #7: cost 286 inf + 3139 522.069 * * [simplify]: Extracting #8: cost 208 inf + 16719 522.075 * * [simplify]: Extracting #9: cost 125 inf + 42463 522.091 * * [simplify]: Extracting #10: cost 32 inf + 84134 522.109 * * [simplify]: Extracting #11: cost 3 inf + 103002 522.128 * * [simplify]: Extracting #12: cost 0 inf + 105277 522.147 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 522.147 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 522.148 * * * * [progress]: [ 1748 / 4754 ] simplifiying candidate # 522.148 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 522.148 * * [simplify]: iters left: 6 (46 enodes) 522.162 * * [simplify]: iters left: 5 (230 enodes) 522.218 * * [simplify]: Extracting #0: cost 1 inf + 0 522.218 * * [simplify]: Extracting #1: cost 3 inf + 0 522.218 * * [simplify]: Extracting #2: cost 6 inf + 0 522.218 * * [simplify]: Extracting #3: cost 10 inf + 0 522.218 * * [simplify]: Extracting #4: cost 24 inf + 0 522.218 * * [simplify]: Extracting #5: cost 139 inf + 0 522.219 * * [simplify]: Extracting #6: cost 262 inf + 1 522.220 * * [simplify]: Extracting #7: cost 277 inf + 1999 522.224 * * [simplify]: Extracting #8: cost 179 inf + 23263 522.235 * * [simplify]: Extracting #9: cost 70 inf + 70911 522.255 * * [simplify]: Extracting #10: cost 6 inf + 100398 522.275 * * [simplify]: Extracting #11: cost 2 inf + 106498 522.295 * * [simplify]: Extracting #12: cost 0 inf + 109308 522.314 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 522.315 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 522.315 * * * * [progress]: [ 1749 / 4754 ] simplifiying candidate # 522.316 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 522.316 * * [simplify]: iters left: 6 (48 enodes) 522.329 * * [simplify]: iters left: 5 (241 enodes) 522.384 * * [simplify]: Extracting #0: cost 1 inf + 0 522.384 * * [simplify]: Extracting #1: cost 3 inf + 0 522.384 * * [simplify]: Extracting #2: cost 6 inf + 0 522.384 * * [simplify]: Extracting #3: cost 10 inf + 0 522.384 * * [simplify]: Extracting #4: cost 24 inf + 0 522.385 * * [simplify]: Extracting #5: cost 145 inf + 0 522.385 * * [simplify]: Extracting #6: cost 280 inf + 44 522.386 * * [simplify]: Extracting #7: cost 288 inf + 2534 522.389 * * [simplify]: Extracting #8: cost 212 inf + 15548 522.396 * * [simplify]: Extracting #9: cost 127 inf + 42035 522.413 * * [simplify]: Extracting #10: cost 33 inf + 84162 522.431 * * [simplify]: Extracting #11: cost 3 inf + 103242 522.450 * * [simplify]: Extracting #12: cost 0 inf + 105517 522.470 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) 522.470 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 522.470 * * * * [progress]: [ 1750 / 4754 ] simplifiying candidate # 522.471 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 522.471 * * [simplify]: iters left: 6 (48 enodes) 522.485 * * [simplify]: iters left: 5 (239 enodes) 522.542 * * [simplify]: Extracting #0: cost 1 inf + 0 522.542 * * [simplify]: Extracting #1: cost 3 inf + 0 522.542 * * [simplify]: Extracting #2: cost 6 inf + 0 522.542 * * [simplify]: Extracting #3: cost 10 inf + 0 522.542 * * [simplify]: Extracting #4: cost 20 inf + 0 522.542 * * [simplify]: Extracting #5: cost 127 inf + 0 522.543 * * [simplify]: Extracting #6: cost 272 inf + 1 522.544 * * [simplify]: Extracting #7: cost 309 inf + 1271 522.547 * * [simplify]: Extracting #8: cost 229 inf + 14776 522.553 * * [simplify]: Extracting #9: cost 142 inf + 40923 522.570 * * [simplify]: Extracting #10: cost 45 inf + 85039 522.591 * * [simplify]: Extracting #11: cost 0 inf + 114723 522.612 * * [simplify]: Extracting #12: cost 0 inf + 114643 522.634 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 522.634 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 522.634 * * * * [progress]: [ 1751 / 4754 ] simplifiying candidate # 522.635 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 522.635 * * [simplify]: iters left: 6 (49 enodes) 522.649 * * [simplify]: iters left: 5 (247 enodes) 522.706 * * [simplify]: Extracting #0: cost 1 inf + 0 522.707 * * [simplify]: Extracting #1: cost 3 inf + 0 522.707 * * [simplify]: Extracting #2: cost 6 inf + 0 522.707 * * [simplify]: Extracting #3: cost 10 inf + 0 522.707 * * [simplify]: Extracting #4: cost 20 inf + 0 522.707 * * [simplify]: Extracting #5: cost 130 inf + 0 522.708 * * [simplify]: Extracting #6: cost 291 inf + 1 522.709 * * [simplify]: Extracting #7: cost 325 inf + 1436 522.712 * * [simplify]: Extracting #8: cost 207 inf + 23940 522.728 * * [simplify]: Extracting #9: cost 77 inf + 74086 522.747 * * [simplify]: Extracting #10: cost 8 inf + 109017 522.769 * * [simplify]: Extracting #11: cost 0 inf + 115018 522.791 * * [simplify]: Extracting #12: cost 0 inf + 114938 522.813 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 522.813 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 522.814 * * * * [progress]: [ 1752 / 4754 ] simplifiying candidate # 522.814 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 522.814 * * [simplify]: iters left: 6 (49 enodes) 522.827 * * [simplify]: iters left: 5 (247 enodes) 522.887 * * [simplify]: Extracting #0: cost 1 inf + 0 522.887 * * [simplify]: Extracting #1: cost 3 inf + 0 522.887 * * [simplify]: Extracting #2: cost 6 inf + 0 522.887 * * [simplify]: Extracting #3: cost 10 inf + 0 522.887 * * [simplify]: Extracting #4: cost 20 inf + 0 522.888 * * [simplify]: Extracting #5: cost 133 inf + 0 522.888 * * [simplify]: Extracting #6: cost 293 inf + 1 522.889 * * [simplify]: Extracting #7: cost 321 inf + 1436 522.893 * * [simplify]: Extracting #8: cost 223 inf + 18901 522.900 * * [simplify]: Extracting #9: cost 135 inf + 45812 522.915 * * [simplify]: Extracting #10: cost 39 inf + 88373 522.935 * * [simplify]: Extracting #11: cost 3 inf + 109579 522.956 * * [simplify]: Extracting #12: cost 0 inf + 113334 522.979 * * [simplify]: Extracting #13: cost 0 inf + 113254 523.000 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 523.000 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 523.001 * * * * [progress]: [ 1753 / 4754 ] simplifiying candidate # 523.001 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 523.001 * * [simplify]: iters left: 6 (49 enodes) 523.014 * * [simplify]: iters left: 5 (245 enodes) 523.073 * * [simplify]: Extracting #0: cost 1 inf + 0 523.073 * * [simplify]: Extracting #1: cost 3 inf + 0 523.073 * * [simplify]: Extracting #2: cost 6 inf + 0 523.073 * * [simplify]: Extracting #3: cost 10 inf + 0 523.073 * * [simplify]: Extracting #4: cost 22 inf + 0 523.073 * * [simplify]: Extracting #5: cost 132 inf + 0 523.074 * * [simplify]: Extracting #6: cost 276 inf + 2 523.075 * * [simplify]: Extracting #7: cost 284 inf + 3461 523.079 * * [simplify]: Extracting #8: cost 177 inf + 26480 523.092 * * [simplify]: Extracting #9: cost 68 inf + 68135 523.111 * * [simplify]: Extracting #10: cost 10 inf + 99426 523.134 * * [simplify]: Extracting #11: cost 0 inf + 105438 523.154 * * [simplify]: Extracting #12: cost 0 inf + 104798 523.173 * * [simplify]: Extracting #13: cost 0 inf + 104718 523.193 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 523.193 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- phi1 phi2)) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 523.194 * * * * [progress]: [ 1754 / 4754 ] simplifiying candidate # 523.194 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 523.194 * * [simplify]: iters left: 6 (47 enodes) 523.208 * * [simplify]: iters left: 5 (233 enodes) 523.261 * * [simplify]: Extracting #0: cost 1 inf + 0 523.261 * * [simplify]: Extracting #1: cost 3 inf + 0 523.261 * * [simplify]: Extracting #2: cost 6 inf + 0 523.261 * * [simplify]: Extracting #3: cost 10 inf + 0 523.261 * * [simplify]: Extracting #4: cost 24 inf + 0 523.262 * * [simplify]: Extracting #5: cost 130 inf + 0 523.262 * * [simplify]: Extracting #6: cost 252 inf + 1 523.263 * * [simplify]: Extracting #7: cost 273 inf + 1068 523.266 * * [simplify]: Extracting #8: cost 204 inf + 11955 523.270 * * [simplify]: Extracting #9: cost 151 inf + 27508 523.285 * * [simplify]: Extracting #10: cost 40 inf + 74819 523.303 * * [simplify]: Extracting #11: cost 5 inf + 95888 523.321 * * [simplify]: Extracting #12: cost 1 inf + 100028 523.340 * * [simplify]: Extracting #13: cost 0 inf + 101133 523.359 * * [simplify]: Extracting #14: cost 0 inf + 101053 523.379 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 523.380 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 523.380 * * * * [progress]: [ 1755 / 4754 ] simplifiying candidate # 523.380 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 523.381 * * [simplify]: iters left: 6 (48 enodes) 523.394 * * [simplify]: iters left: 5 (241 enodes) 523.453 * * [simplify]: Extracting #0: cost 1 inf + 0 523.453 * * [simplify]: Extracting #1: cost 3 inf + 0 523.453 * * [simplify]: Extracting #2: cost 6 inf + 0 523.453 * * [simplify]: Extracting #3: cost 10 inf + 0 523.453 * * [simplify]: Extracting #4: cost 24 inf + 0 523.453 * * [simplify]: Extracting #5: cost 141 inf + 0 523.454 * * [simplify]: Extracting #6: cost 273 inf + 44 523.455 * * [simplify]: Extracting #7: cost 278 inf + 3349 523.458 * * [simplify]: Extracting #8: cost 196 inf + 16753 523.464 * * [simplify]: Extracting #9: cost 136 inf + 35795 523.476 * * [simplify]: Extracting #10: cost 34 inf + 74866 523.493 * * [simplify]: Extracting #11: cost 3 inf + 95438 523.512 * * [simplify]: Extracting #12: cost 0 inf + 99073 523.532 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 523.532 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 523.532 * * * * [progress]: [ 1756 / 4754 ] simplifiying candidate # 523.533 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 523.533 * * [simplify]: iters left: 6 (46 enodes) 523.545 * * [simplify]: iters left: 5 (231 enodes) 523.601 * * [simplify]: Extracting #0: cost 1 inf + 0 523.601 * * [simplify]: Extracting #1: cost 3 inf + 0 523.602 * * [simplify]: Extracting #2: cost 6 inf + 0 523.602 * * [simplify]: Extracting #3: cost 10 inf + 0 523.602 * * [simplify]: Extracting #4: cost 24 inf + 0 523.602 * * [simplify]: Extracting #5: cost 130 inf + 0 523.602 * * [simplify]: Extracting #6: cost 252 inf + 1 523.603 * * [simplify]: Extracting #7: cost 273 inf + 1028 523.607 * * [simplify]: Extracting #8: cost 182 inf + 20744 523.613 * * [simplify]: Extracting #9: cost 136 inf + 35504 523.626 * * [simplify]: Extracting #10: cost 39 inf + 77507 523.644 * * [simplify]: Extracting #11: cost 2 inf + 100243 523.663 * * [simplify]: Extracting #12: cost 0 inf + 101893 523.684 * * [simplify]: Extracting #13: cost 0 inf + 101853 523.702 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 523.703 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 523.703 * * * * [progress]: [ 1757 / 4754 ] simplifiying candidate # 523.703 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 523.704 * * [simplify]: iters left: 6 (48 enodes) 523.717 * * [simplify]: iters left: 5 (241 enodes) 523.777 * * [simplify]: Extracting #0: cost 1 inf + 0 523.777 * * [simplify]: Extracting #1: cost 3 inf + 0 523.777 * * [simplify]: Extracting #2: cost 6 inf + 0 523.777 * * [simplify]: Extracting #3: cost 10 inf + 0 523.777 * * [simplify]: Extracting #4: cost 24 inf + 0 523.777 * * [simplify]: Extracting #5: cost 140 inf + 0 523.778 * * [simplify]: Extracting #6: cost 273 inf + 44 523.779 * * [simplify]: Extracting #7: cost 278 inf + 3349 523.782 * * [simplify]: Extracting #8: cost 197 inf + 16752 523.788 * * [simplify]: Extracting #9: cost 135 inf + 36118 523.800 * * [simplify]: Extracting #10: cost 35 inf + 74801 523.818 * * [simplify]: Extracting #11: cost 3 inf + 95678 523.836 * * [simplify]: Extracting #12: cost 0 inf + 99313 523.857 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 523.857 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 523.858 * * * * [progress]: [ 1758 / 4754 ] simplifiying candidate # 523.858 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 523.858 * * [simplify]: iters left: 6 (47 enodes) 523.871 * * [simplify]: iters left: 5 (238 enodes) 523.931 * * [simplify]: Extracting #0: cost 1 inf + 0 523.931 * * [simplify]: Extracting #1: cost 3 inf + 0 523.931 * * [simplify]: Extracting #2: cost 6 inf + 0 523.931 * * [simplify]: Extracting #3: cost 10 inf + 0 523.931 * * [simplify]: Extracting #4: cost 20 inf + 0 523.931 * * [simplify]: Extracting #5: cost 122 inf + 0 523.932 * * [simplify]: Extracting #6: cost 263 inf + 3 523.933 * * [simplify]: Extracting #7: cost 279 inf + 1570 523.937 * * [simplify]: Extracting #8: cost 157 inf + 30268 523.947 * * [simplify]: Extracting #9: cost 50 inf + 67541 523.964 * * [simplify]: Extracting #10: cost 4 inf + 90370 523.982 * * [simplify]: Extracting #11: cost 1 inf + 94354 524.002 * * [simplify]: Extracting #12: cost 0 inf + 95917 524.020 * * [simplify]: Extracting #13: cost 0 inf + 95826 524.038 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 524.038 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 524.038 * * * * [progress]: [ 1759 / 4754 ] simplifiying candidate # 524.039 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 524.039 * * [simplify]: iters left: 6 (47 enodes) 524.053 * * [simplify]: iters left: 5 (236 enodes) 524.109 * * [simplify]: Extracting #0: cost 1 inf + 0 524.109 * * [simplify]: Extracting #1: cost 3 inf + 0 524.109 * * [simplify]: Extracting #2: cost 6 inf + 0 524.109 * * [simplify]: Extracting #3: cost 10 inf + 0 524.109 * * [simplify]: Extracting #4: cost 23 inf + 0 524.110 * * [simplify]: Extracting #5: cost 129 inf + 0 524.110 * * [simplify]: Extracting #6: cost 264 inf + 1 524.111 * * [simplify]: Extracting #7: cost 277 inf + 1601 524.114 * * [simplify]: Extracting #8: cost 199 inf + 13412 524.119 * * [simplify]: Extracting #9: cost 130 inf + 34541 524.130 * * [simplify]: Extracting #10: cost 42 inf + 67061 524.146 * * [simplify]: Extracting #11: cost 6 inf + 86721 524.166 * * [simplify]: Extracting #12: cost 0 inf + 93031 524.183 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 524.183 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (cbrt (* (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 524.184 * * * * [progress]: [ 1760 / 4754 ] simplifiying candidate # 524.184 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 524.184 * * [simplify]: iters left: 6 (48 enodes) 524.198 * * [simplify]: iters left: 5 (253 enodes) 524.261 * * [simplify]: Extracting #0: cost 1 inf + 0 524.261 * * [simplify]: Extracting #1: cost 3 inf + 0 524.261 * * [simplify]: Extracting #2: cost 6 inf + 0 524.261 * * [simplify]: Extracting #3: cost 10 inf + 0 524.261 * * [simplify]: Extracting #4: cost 20 inf + 0 524.261 * * [simplify]: Extracting #5: cost 129 inf + 0 524.262 * * [simplify]: Extracting #6: cost 300 inf + 44 524.264 * * [simplify]: Extracting #7: cost 337 inf + 3791 524.271 * * [simplify]: Extracting #8: cost 165 inf + 46409 524.289 * * [simplify]: Extracting #9: cost 39 inf + 101860 524.310 * * [simplify]: Extracting #10: cost 3 inf + 119749 524.337 * * [simplify]: Extracting #11: cost 0 inf + 123171 524.360 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 524.360 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 524.361 * * * * [progress]: [ 1761 / 4754 ] simplifiying candidate # 524.361 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 524.362 * * [simplify]: iters left: 6 (48 enodes) 524.375 * * [simplify]: iters left: 5 (251 enodes) 524.438 * * [simplify]: Extracting #0: cost 1 inf + 0 524.438 * * [simplify]: Extracting #1: cost 3 inf + 0 524.438 * * [simplify]: Extracting #2: cost 6 inf + 0 524.438 * * [simplify]: Extracting #3: cost 10 inf + 0 524.438 * * [simplify]: Extracting #4: cost 20 inf + 0 524.438 * * [simplify]: Extracting #5: cost 124 inf + 0 524.439 * * [simplify]: Extracting #6: cost 292 inf + 44 524.441 * * [simplify]: Extracting #7: cost 320 inf + 5247 524.449 * * [simplify]: Extracting #8: cost 135 inf + 53479 524.469 * * [simplify]: Extracting #9: cost 28 inf + 103868 524.494 * * [simplify]: Extracting #10: cost 4 inf + 115777 524.516 * * [simplify]: Extracting #11: cost 0 inf + 117127 524.539 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 524.539 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 524.539 * * * * [progress]: [ 1762 / 4754 ] simplifiying candidate # 524.540 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 524.540 * * [simplify]: iters left: 6 (48 enodes) 524.554 * * [simplify]: iters left: 5 (251 enodes) 524.618 * * [simplify]: Extracting #0: cost 1 inf + 0 524.618 * * [simplify]: Extracting #1: cost 3 inf + 0 524.618 * * [simplify]: Extracting #2: cost 6 inf + 0 524.618 * * [simplify]: Extracting #3: cost 10 inf + 0 524.618 * * [simplify]: Extracting #4: cost 20 inf + 0 524.618 * * [simplify]: Extracting #5: cost 127 inf + 0 524.619 * * [simplify]: Extracting #6: cost 290 inf + 44 524.620 * * [simplify]: Extracting #7: cost 311 inf + 4972 524.628 * * [simplify]: Extracting #8: cost 187 inf + 30223 524.643 * * [simplify]: Extracting #9: cost 87 inf + 69082 524.665 * * [simplify]: Extracting #10: cost 11 inf + 103340 524.685 * * [simplify]: Extracting #11: cost 3 inf + 109032 524.706 * * [simplify]: Extracting #12: cost 0 inf + 114107 524.727 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 524.727 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 524.728 * * * * [progress]: [ 1763 / 4754 ] simplifiying candidate # 524.728 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 524.728 * * [simplify]: iters left: 6 (42 enodes) 524.741 * * [simplify]: iters left: 5 (218 enodes) 524.792 * * [simplify]: Extracting #0: cost 1 inf + 0 524.792 * * [simplify]: Extracting #1: cost 3 inf + 0 524.792 * * [simplify]: Extracting #2: cost 6 inf + 0 524.792 * * [simplify]: Extracting #3: cost 10 inf + 0 524.792 * * [simplify]: Extracting #4: cost 20 inf + 0 524.792 * * [simplify]: Extracting #5: cost 123 inf + 0 524.793 * * [simplify]: Extracting #6: cost 262 inf + 44 524.794 * * [simplify]: Extracting #7: cost 272 inf + 4922 524.799 * * [simplify]: Extracting #8: cost 167 inf + 25298 524.810 * * [simplify]: Extracting #9: cost 95 inf + 49425 524.826 * * [simplify]: Extracting #10: cost 14 inf + 85478 524.843 * * [simplify]: Extracting #11: cost 2 inf + 93470 524.861 * * [simplify]: Extracting #12: cost 1 inf + 94775 524.880 * * [simplify]: Extracting #13: cost 0 inf + 96080 524.899 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 524.900 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 524.900 * * * * [progress]: [ 1764 / 4754 ] simplifiying candidate # 524.900 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 524.901 * * [simplify]: iters left: 6 (47 enodes) 524.913 * * [simplify]: iters left: 5 (245 enodes) 524.976 * * [simplify]: Extracting #0: cost 1 inf + 0 524.976 * * [simplify]: Extracting #1: cost 3 inf + 0 524.976 * * [simplify]: Extracting #2: cost 6 inf + 0 524.976 * * [simplify]: Extracting #3: cost 10 inf + 0 524.976 * * [simplify]: Extracting #4: cost 24 inf + 0 524.976 * * [simplify]: Extracting #5: cost 143 inf + 0 524.977 * * [simplify]: Extracting #6: cost 284 inf + 85 524.979 * * [simplify]: Extracting #7: cost 296 inf + 4403 524.984 * * [simplify]: Extracting #8: cost 189 inf + 27356 524.993 * * [simplify]: Extracting #9: cost 112 inf + 52575 525.008 * * [simplify]: Extracting #10: cost 32 inf + 88792 525.028 * * [simplify]: Extracting #11: cost 3 inf + 105048 525.050 * * [simplify]: Extracting #12: cost 1 inf + 108418 525.071 * * [simplify]: Extracting #13: cost 0 inf + 110123 525.092 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 525.092 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 525.093 * * * * [progress]: [ 1765 / 4754 ] simplifiying candidate # 525.093 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 525.093 * * [simplify]: iters left: 6 (41 enodes) 525.104 * * [simplify]: iters left: 5 (208 enodes) 525.153 * * [simplify]: Extracting #0: cost 1 inf + 0 525.153 * * [simplify]: Extracting #1: cost 3 inf + 0 525.153 * * [simplify]: Extracting #2: cost 6 inf + 0 525.153 * * [simplify]: Extracting #3: cost 10 inf + 0 525.153 * * [simplify]: Extracting #4: cost 24 inf + 0 525.153 * * [simplify]: Extracting #5: cost 118 inf + 0 525.154 * * [simplify]: Extracting #6: cost 231 inf + 44 525.155 * * [simplify]: Extracting #7: cost 235 inf + 5370 525.159 * * [simplify]: Extracting #8: cost 136 inf + 26177 525.167 * * [simplify]: Extracting #9: cost 83 inf + 42356 525.179 * * [simplify]: Extracting #10: cost 17 inf + 70325 525.195 * * [simplify]: Extracting #11: cost 2 inf + 82140 525.214 * * [simplify]: Extracting #12: cost 0 inf + 84790 525.231 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 525.231 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 525.232 * * * * [progress]: [ 1766 / 4754 ] simplifiying candidate # 525.232 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 525.232 * * [simplify]: iters left: 6 (47 enodes) 525.245 * * [simplify]: iters left: 5 (245 enodes) 525.310 * * [simplify]: Extracting #0: cost 1 inf + 0 525.310 * * [simplify]: Extracting #1: cost 3 inf + 0 525.310 * * [simplify]: Extracting #2: cost 6 inf + 0 525.310 * * [simplify]: Extracting #3: cost 10 inf + 0 525.310 * * [simplify]: Extracting #4: cost 24 inf + 0 525.310 * * [simplify]: Extracting #5: cost 143 inf + 0 525.311 * * [simplify]: Extracting #6: cost 284 inf + 85 525.313 * * [simplify]: Extracting #7: cost 292 inf + 5817 525.318 * * [simplify]: Extracting #8: cost 176 inf + 31392 525.328 * * [simplify]: Extracting #9: cost 113 inf + 52790 525.343 * * [simplify]: Extracting #10: cost 32 inf + 89432 525.363 * * [simplify]: Extracting #11: cost 3 inf + 105688 525.386 * * [simplify]: Extracting #12: cost 1 inf + 109058 525.407 * * [simplify]: Extracting #13: cost 0 inf + 110763 525.428 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 525.428 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 525.428 * * * * [progress]: [ 1767 / 4754 ] simplifiying candidate # 525.429 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 525.429 * * [simplify]: iters left: 6 (40 enodes) 525.440 * * [simplify]: iters left: 5 (205 enodes) 525.488 * * [simplify]: Extracting #0: cost 1 inf + 0 525.488 * * [simplify]: Extracting #1: cost 3 inf + 0 525.488 * * [simplify]: Extracting #2: cost 6 inf + 0 525.488 * * [simplify]: Extracting #3: cost 10 inf + 0 525.488 * * [simplify]: Extracting #4: cost 24 inf + 0 525.488 * * [simplify]: Extracting #5: cost 117 inf + 0 525.489 * * [simplify]: Extracting #6: cost 231 inf + 44 525.490 * * [simplify]: Extracting #7: cost 237 inf + 5089 525.495 * * [simplify]: Extracting #8: cost 115 inf + 32619 525.508 * * [simplify]: Extracting #9: cost 20 inf + 72823 525.524 * * [simplify]: Extracting #10: cost 3 inf + 82568 525.544 * * [simplify]: Extracting #11: cost 0 inf + 85150 525.561 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)))))) 525.561 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 525.562 * * * * [progress]: [ 1768 / 4754 ] simplifiying candidate # 525.562 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 525.562 * * [simplify]: iters left: 6 (48 enodes) 525.575 * * [simplify]: iters left: 5 (245 enodes) 525.643 * * [simplify]: Extracting #0: cost 1 inf + 0 525.643 * * [simplify]: Extracting #1: cost 3 inf + 0 525.643 * * [simplify]: Extracting #2: cost 6 inf + 0 525.643 * * [simplify]: Extracting #3: cost 10 inf + 0 525.643 * * [simplify]: Extracting #4: cost 20 inf + 0 525.644 * * [simplify]: Extracting #5: cost 140 inf + 0 525.644 * * [simplify]: Extracting #6: cost 287 inf + 2 525.646 * * [simplify]: Extracting #7: cost 323 inf + 3103 525.652 * * [simplify]: Extracting #8: cost 165 inf + 40625 525.669 * * [simplify]: Extracting #9: cost 48 inf + 95928 525.691 * * [simplify]: Extracting #10: cost 5 inf + 116136 525.717 * * [simplify]: Extracting #11: cost 1 inf + 119410 525.740 * * [simplify]: Extracting #12: cost 0 inf + 121035 525.762 * * [simplify]: Extracting #13: cost 0 inf + 120995 525.785 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 525.785 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 525.786 * * * * [progress]: [ 1769 / 4754 ] simplifiying candidate # 525.786 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 525.788 * * [simplify]: iters left: 6 (48 enodes) 525.801 * * [simplify]: iters left: 5 (247 enodes) 525.865 * * [simplify]: Extracting #0: cost 1 inf + 0 525.865 * * [simplify]: Extracting #1: cost 3 inf + 0 525.865 * * [simplify]: Extracting #2: cost 6 inf + 0 525.865 * * [simplify]: Extracting #3: cost 10 inf + 0 525.865 * * [simplify]: Extracting #4: cost 20 inf + 0 525.866 * * [simplify]: Extracting #5: cost 137 inf + 0 525.866 * * [simplify]: Extracting #6: cost 293 inf + 44 525.868 * * [simplify]: Extracting #7: cost 313 inf + 5334 525.873 * * [simplify]: Extracting #8: cost 198 inf + 27539 525.885 * * [simplify]: Extracting #9: cost 90 inf + 72594 525.905 * * [simplify]: Extracting #10: cost 5 inf + 115593 525.929 * * [simplify]: Extracting #11: cost 1 inf + 119731 525.954 * * [simplify]: Extracting #12: cost 0 inf + 121396 525.976 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 525.976 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 525.977 * * * * [progress]: [ 1770 / 4754 ] simplifiying candidate # 525.977 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 525.978 * * [simplify]: iters left: 6 (48 enodes) 525.991 * * [simplify]: iters left: 5 (247 enodes) 526.054 * * [simplify]: Extracting #0: cost 1 inf + 0 526.054 * * [simplify]: Extracting #1: cost 3 inf + 0 526.054 * * [simplify]: Extracting #2: cost 6 inf + 0 526.054 * * [simplify]: Extracting #3: cost 10 inf + 0 526.054 * * [simplify]: Extracting #4: cost 20 inf + 0 526.054 * * [simplify]: Extracting #5: cost 152 inf + 0 526.055 * * [simplify]: Extracting #6: cost 289 inf + 44 526.057 * * [simplify]: Extracting #7: cost 309 inf + 4641 526.065 * * [simplify]: Extracting #8: cost 137 inf + 50640 526.084 * * [simplify]: Extracting #9: cost 26 inf + 104113 526.108 * * [simplify]: Extracting #10: cost 10 inf + 110737 526.131 * * [simplify]: Extracting #11: cost 1 inf + 116484 526.153 * * [simplify]: Extracting #12: cost 0 inf + 118229 526.176 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi2 (* phi2 (- phi2))) (* (* phi1 phi1) phi1)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 526.176 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi2 (* phi2 (- phi2))) (* (* phi1 phi1) phi1)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.177 * * * * [progress]: [ 1771 / 4754 ] simplifiying candidate # 526.177 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 526.177 * * [simplify]: iters left: 6 (42 enodes) 526.190 * * [simplify]: iters left: 5 (211 enodes) 526.241 * * [simplify]: Extracting #0: cost 1 inf + 0 526.241 * * [simplify]: Extracting #1: cost 3 inf + 0 526.241 * * [simplify]: Extracting #2: cost 6 inf + 0 526.241 * * [simplify]: Extracting #3: cost 10 inf + 0 526.241 * * [simplify]: Extracting #4: cost 20 inf + 0 526.242 * * [simplify]: Extracting #5: cost 145 inf + 0 526.242 * * [simplify]: Extracting #6: cost 254 inf + 44 526.244 * * [simplify]: Extracting #7: cost 253 inf + 5574 526.251 * * [simplify]: Extracting #8: cost 113 inf + 39027 526.267 * * [simplify]: Extracting #9: cost 44 inf + 70264 526.284 * * [simplify]: Extracting #10: cost 10 inf + 87967 526.302 * * [simplify]: Extracting #11: cost 1 inf + 95713 526.321 * * [simplify]: Extracting #12: cost 0 inf + 97098 526.340 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 526.340 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.341 * * * * [progress]: [ 1772 / 4754 ] simplifiying candidate # 526.341 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 526.342 * * [simplify]: iters left: 6 (47 enodes) 526.356 * * [simplify]: iters left: 5 (241 enodes) 526.415 * * [simplify]: Extracting #0: cost 1 inf + 0 526.416 * * [simplify]: Extracting #1: cost 3 inf + 0 526.416 * * [simplify]: Extracting #2: cost 6 inf + 0 526.416 * * [simplify]: Extracting #3: cost 10 inf + 0 526.416 * * [simplify]: Extracting #4: cost 28 inf + 0 526.416 * * [simplify]: Extracting #5: cost 181 inf + 0 526.417 * * [simplify]: Extracting #6: cost 305 inf + 85 526.421 * * [simplify]: Extracting #7: cost 312 inf + 4688 526.426 * * [simplify]: Extracting #8: cost 214 inf + 24660 526.436 * * [simplify]: Extracting #9: cost 111 inf + 61558 526.454 * * [simplify]: Extracting #10: cost 26 inf + 104701 526.476 * * [simplify]: Extracting #11: cost 3 inf + 120579 526.499 * * [simplify]: Extracting #12: cost 0 inf + 124894 526.523 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 526.524 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.524 * * * * [progress]: [ 1773 / 4754 ] simplifiying candidate # 526.525 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 526.525 * * [simplify]: iters left: 6 (41 enodes) 526.537 * * [simplify]: iters left: 5 (205 enodes) 526.585 * * [simplify]: Extracting #0: cost 1 inf + 0 526.585 * * [simplify]: Extracting #1: cost 4 inf + 0 526.585 * * [simplify]: Extracting #2: cost 7 inf + 0 526.585 * * [simplify]: Extracting #3: cost 14 inf + 0 526.586 * * [simplify]: Extracting #4: cost 91 inf + 0 526.586 * * [simplify]: Extracting #5: cost 190 inf + 44 526.587 * * [simplify]: Extracting #6: cost 190 inf + 5087 526.591 * * [simplify]: Extracting #7: cost 112 inf + 19927 526.597 * * [simplify]: Extracting #8: cost 68 inf + 33786 526.607 * * [simplify]: Extracting #9: cost 9 inf + 57429 526.620 * * [simplify]: Extracting #10: cost 2 inf + 63284 526.633 * * [simplify]: Extracting #11: cost 0 inf + 65334 526.645 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 526.645 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.646 * * * * [progress]: [ 1774 / 4754 ] simplifiying candidate # 526.646 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 526.647 * * [simplify]: iters left: 6 (47 enodes) 526.659 * * [simplify]: iters left: 5 (241 enodes) 526.721 * * [simplify]: Extracting #0: cost 1 inf + 0 526.721 * * [simplify]: Extracting #1: cost 3 inf + 0 526.721 * * [simplify]: Extracting #2: cost 6 inf + 0 526.721 * * [simplify]: Extracting #3: cost 10 inf + 0 526.721 * * [simplify]: Extracting #4: cost 28 inf + 0 526.721 * * [simplify]: Extracting #5: cost 182 inf + 0 526.722 * * [simplify]: Extracting #6: cost 307 inf + 85 526.724 * * [simplify]: Extracting #7: cost 302 inf + 6432 526.728 * * [simplify]: Extracting #8: cost 214 inf + 24462 526.742 * * [simplify]: Extracting #9: cost 101 inf + 68400 526.761 * * [simplify]: Extracting #10: cost 24 inf + 106568 526.783 * * [simplify]: Extracting #11: cost 4 inf + 120522 526.806 * * [simplify]: Extracting #12: cost 0 inf + 126342 526.830 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.830 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.831 * * * * [progress]: [ 1775 / 4754 ] simplifiying candidate # 526.831 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 526.831 * * [simplify]: iters left: 6 (40 enodes) 526.843 * * [simplify]: iters left: 5 (202 enodes) 526.888 * * [simplify]: Extracting #0: cost 1 inf + 0 526.888 * * [simplify]: Extracting #1: cost 4 inf + 0 526.888 * * [simplify]: Extracting #2: cost 7 inf + 0 526.888 * * [simplify]: Extracting #3: cost 14 inf + 0 526.888 * * [simplify]: Extracting #4: cost 85 inf + 0 526.888 * * [simplify]: Extracting #5: cost 179 inf + 44 526.889 * * [simplify]: Extracting #6: cost 189 inf + 3267 526.892 * * [simplify]: Extracting #7: cost 120 inf + 15683 526.900 * * [simplify]: Extracting #8: cost 68 inf + 29498 526.910 * * [simplify]: Extracting #9: cost 13 inf + 51382 526.921 * * [simplify]: Extracting #10: cost 6 inf + 55664 526.932 * * [simplify]: Extracting #11: cost 2 inf + 59724 526.945 * * [simplify]: Extracting #12: cost 0 inf + 61734 526.957 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2))))) 526.957 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 526.957 * * * * [progress]: [ 1776 / 4754 ] simplifiying candidate # 526.958 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 526.958 * * [simplify]: iters left: 6 (46 enodes) 526.971 * * [simplify]: iters left: 5 (231 enodes) 527.026 * * [simplify]: Extracting #0: cost 1 inf + 0 527.026 * * [simplify]: Extracting #1: cost 3 inf + 0 527.026 * * [simplify]: Extracting #2: cost 6 inf + 0 527.027 * * [simplify]: Extracting #3: cost 10 inf + 0 527.027 * * [simplify]: Extracting #4: cost 20 inf + 0 527.027 * * [simplify]: Extracting #5: cost 119 inf + 0 527.027 * * [simplify]: Extracting #6: cost 253 inf + 44 527.029 * * [simplify]: Extracting #7: cost 276 inf + 3513 527.033 * * [simplify]: Extracting #8: cost 158 inf + 26967 527.042 * * [simplify]: Extracting #9: cost 91 inf + 53789 527.061 * * [simplify]: Extracting #10: cost 24 inf + 88212 527.081 * * [simplify]: Extracting #11: cost 3 inf + 103378 527.101 * * [simplify]: Extracting #12: cost 0 inf + 108053 527.122 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 527.122 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 527.123 * * * * [progress]: [ 1777 / 4754 ] simplifiying candidate # 527.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 527.124 * * [simplify]: iters left: 6 (46 enodes) 527.136 * * [simplify]: iters left: 5 (233 enodes) 527.194 * * [simplify]: Extracting #0: cost 1 inf + 0 527.194 * * [simplify]: Extracting #1: cost 3 inf + 0 527.194 * * [simplify]: Extracting #2: cost 6 inf + 0 527.194 * * [simplify]: Extracting #3: cost 10 inf + 0 527.194 * * [simplify]: Extracting #4: cost 20 inf + 0 527.195 * * [simplify]: Extracting #5: cost 116 inf + 0 527.195 * * [simplify]: Extracting #6: cost 260 inf + 44 527.197 * * [simplify]: Extracting #7: cost 280 inf + 3674 527.201 * * [simplify]: Extracting #8: cost 186 inf + 19456 527.208 * * [simplify]: Extracting #9: cost 120 inf + 41772 527.226 * * [simplify]: Extracting #10: cost 27 inf + 86072 527.245 * * [simplify]: Extracting #11: cost 2 inf + 104204 527.265 * * [simplify]: Extracting #12: cost 0 inf + 107334 527.285 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 527.285 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 527.285 * * * * [progress]: [ 1778 / 4754 ] simplifiying candidate # 527.286 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 527.286 * * [simplify]: iters left: 6 (46 enodes) 527.298 * * [simplify]: iters left: 5 (231 enodes) 527.353 * * [simplify]: Extracting #0: cost 1 inf + 0 527.353 * * [simplify]: Extracting #1: cost 3 inf + 0 527.353 * * [simplify]: Extracting #2: cost 6 inf + 0 527.353 * * [simplify]: Extracting #3: cost 10 inf + 0 527.353 * * [simplify]: Extracting #4: cost 20 inf + 0 527.353 * * [simplify]: Extracting #5: cost 121 inf + 0 527.354 * * [simplify]: Extracting #6: cost 247 inf + 44 527.355 * * [simplify]: Extracting #7: cost 265 inf + 3188 527.359 * * [simplify]: Extracting #8: cost 170 inf + 20332 527.369 * * [simplify]: Extracting #9: cost 61 inf + 63145 527.387 * * [simplify]: Extracting #10: cost 12 inf + 87068 527.405 * * [simplify]: Extracting #11: cost 3 inf + 95734 527.423 * * [simplify]: Extracting #12: cost 0 inf + 100489 527.442 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 527.443 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 527.443 * * * * [progress]: [ 1779 / 4754 ] simplifiying candidate # 527.444 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 527.444 * * [simplify]: iters left: 6 (40 enodes) 527.454 * * [simplify]: iters left: 5 (195 enodes) 527.500 * * [simplify]: Extracting #0: cost 1 inf + 0 527.500 * * [simplify]: Extracting #1: cost 3 inf + 0 527.500 * * [simplify]: Extracting #2: cost 6 inf + 0 527.500 * * [simplify]: Extracting #3: cost 10 inf + 0 527.500 * * [simplify]: Extracting #4: cost 20 inf + 0 527.500 * * [simplify]: Extracting #5: cost 112 inf + 0 527.501 * * [simplify]: Extracting #6: cost 209 inf + 44 527.502 * * [simplify]: Extracting #7: cost 200 inf + 5253 527.506 * * [simplify]: Extracting #8: cost 122 inf + 21349 527.513 * * [simplify]: Extracting #9: cost 76 inf + 38450 527.527 * * [simplify]: Extracting #10: cost 13 inf + 69910 527.546 * * [simplify]: Extracting #11: cost 2 inf + 77707 527.561 * * [simplify]: Extracting #12: cost 0 inf + 79384 527.576 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))))) 527.576 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 527.577 * * * * [progress]: [ 1780 / 4754 ] simplifiying candidate # 527.577 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 527.577 * * [simplify]: iters left: 6 (45 enodes) 527.589 * * [simplify]: iters left: 5 (227 enodes) 527.644 * * [simplify]: Extracting #0: cost 1 inf + 0 527.645 * * [simplify]: Extracting #1: cost 3 inf + 0 527.645 * * [simplify]: Extracting #2: cost 6 inf + 0 527.645 * * [simplify]: Extracting #3: cost 10 inf + 0 527.645 * * [simplify]: Extracting #4: cost 24 inf + 0 527.645 * * [simplify]: Extracting #5: cost 135 inf + 0 527.646 * * [simplify]: Extracting #6: cost 252 inf + 85 527.647 * * [simplify]: Extracting #7: cost 247 inf + 4485 527.650 * * [simplify]: Extracting #8: cost 171 inf + 20090 527.658 * * [simplify]: Extracting #9: cost 105 inf + 43403 527.670 * * [simplify]: Extracting #10: cost 28 inf + 76461 527.687 * * [simplify]: Extracting #11: cost 8 inf + 89375 527.708 * * [simplify]: Extracting #12: cost 1 inf + 98510 527.727 * * [simplify]: Extracting #13: cost 0 inf + 100215 527.746 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 527.746 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 527.746 * * * * [progress]: [ 1781 / 4754 ] simplifiying candidate # 527.747 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 527.747 * * [simplify]: iters left: 6 (38 enodes) 527.757 * * [simplify]: iters left: 5 (179 enodes) 527.794 * * [simplify]: iters left: 4 (498 enodes) 528.041 * * [simplify]: Extracting #0: cost 1 inf + 0 528.041 * * [simplify]: Extracting #1: cost 4 inf + 0 528.041 * * [simplify]: Extracting #2: cost 7 inf + 0 528.041 * * [simplify]: Extracting #3: cost 21 inf + 0 528.042 * * [simplify]: Extracting #4: cost 246 inf + 0 528.044 * * [simplify]: Extracting #5: cost 662 inf + 166 528.050 * * [simplify]: Extracting #6: cost 677 inf + 23192 528.069 * * [simplify]: Extracting #7: cost 408 inf + 88488 528.102 * * [simplify]: Extracting #8: cost 221 inf + 154963 528.157 * * [simplify]: Extracting #9: cost 31 inf + 240002 528.215 * * [simplify]: Extracting #10: cost 0 inf + 259359 528.272 * [simplify]: Simplified to (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))) 528.272 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 528.273 * * * * [progress]: [ 1782 / 4754 ] simplifiying candidate # 528.273 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 528.273 * * [simplify]: iters left: 6 (45 enodes) 528.287 * * [simplify]: iters left: 5 (227 enodes) 528.339 * * [simplify]: Extracting #0: cost 1 inf + 0 528.339 * * [simplify]: Extracting #1: cost 3 inf + 0 528.339 * * [simplify]: Extracting #2: cost 6 inf + 0 528.339 * * [simplify]: Extracting #3: cost 10 inf + 0 528.339 * * [simplify]: Extracting #4: cost 24 inf + 0 528.339 * * [simplify]: Extracting #5: cost 135 inf + 0 528.340 * * [simplify]: Extracting #6: cost 252 inf + 85 528.341 * * [simplify]: Extracting #7: cost 247 inf + 4607 528.345 * * [simplify]: Extracting #8: cost 178 inf + 17502 528.352 * * [simplify]: Extracting #9: cost 106 inf + 43821 528.367 * * [simplify]: Extracting #10: cost 32 inf + 76162 528.383 * * [simplify]: Extracting #11: cost 8 inf + 90175 528.402 * * [simplify]: Extracting #12: cost 0 inf + 101175 528.421 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 528.421 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 528.422 * * * * [progress]: [ 1783 / 4754 ] simplifiying candidate # 528.422 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 528.422 * * [simplify]: iters left: 6 (34 enodes) 528.431 * * [simplify]: iters left: 5 (162 enodes) 528.469 * * [simplify]: iters left: 4 (462 enodes) 528.692 * * [simplify]: Extracting #0: cost 1 inf + 0 528.693 * * [simplify]: Extracting #1: cost 4 inf + 0 528.693 * * [simplify]: Extracting #2: cost 7 inf + 0 528.693 * * [simplify]: Extracting #3: cost 18 inf + 0 528.693 * * [simplify]: Extracting #4: cost 240 inf + 0 528.695 * * [simplify]: Extracting #5: cost 619 inf + 85 528.700 * * [simplify]: Extracting #6: cost 664 inf + 18769 528.724 * * [simplify]: Extracting #7: cost 397 inf + 84258 528.759 * * [simplify]: Extracting #8: cost 220 inf + 147611 528.808 * * [simplify]: Extracting #9: cost 34 inf + 231086 528.862 * * [simplify]: Extracting #10: cost 0 inf + 250504 528.916 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))))) 528.916 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 528.917 * * * * [progress]: [ 1784 / 4754 ] simplifiying candidate # 528.917 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 528.917 * * [simplify]: iters left: 6 (48 enodes) 528.930 * * [simplify]: iters left: 5 (254 enodes) 528.994 * * [simplify]: Extracting #0: cost 1 inf + 0 528.994 * * [simplify]: Extracting #1: cost 3 inf + 0 528.994 * * [simplify]: Extracting #2: cost 6 inf + 0 528.994 * * [simplify]: Extracting #3: cost 10 inf + 0 528.994 * * [simplify]: Extracting #4: cost 20 inf + 0 528.994 * * [simplify]: Extracting #5: cost 129 inf + 0 528.995 * * [simplify]: Extracting #6: cost 293 inf + 44 528.997 * * [simplify]: Extracting #7: cost 309 inf + 5086 529.001 * * [simplify]: Extracting #8: cost 205 inf + 27638 529.010 * * [simplify]: Extracting #9: cost 137 inf + 45762 529.026 * * [simplify]: Extracting #10: cost 28 inf + 91335 529.049 * * [simplify]: Extracting #11: cost 3 inf + 106707 529.071 * * [simplify]: Extracting #12: cost 0 inf + 110862 529.093 * * [simplify]: Extracting #13: cost 0 inf + 110782 529.113 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 529.114 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 529.114 * * * * [progress]: [ 1785 / 4754 ] simplifiying candidate # 529.114 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 529.115 * * [simplify]: iters left: 6 (48 enodes) 529.129 * * [simplify]: iters left: 5 (252 enodes) 529.189 * * [simplify]: Extracting #0: cost 1 inf + 0 529.189 * * [simplify]: Extracting #1: cost 3 inf + 0 529.189 * * [simplify]: Extracting #2: cost 6 inf + 0 529.189 * * [simplify]: Extracting #3: cost 10 inf + 0 529.189 * * [simplify]: Extracting #4: cost 20 inf + 0 529.189 * * [simplify]: Extracting #5: cost 124 inf + 0 529.190 * * [simplify]: Extracting #6: cost 285 inf + 44 529.191 * * [simplify]: Extracting #7: cost 298 inf + 4684 529.200 * * [simplify]: Extracting #8: cost 174 inf + 30837 529.214 * * [simplify]: Extracting #9: cost 49 inf + 79632 529.233 * * [simplify]: Extracting #10: cost 3 inf + 105651 529.253 * * [simplify]: Extracting #11: cost 0 inf + 106338 529.273 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 529.273 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 529.274 * * * * [progress]: [ 1786 / 4754 ] simplifiying candidate # 529.274 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 529.274 * * [simplify]: iters left: 6 (48 enodes) 529.289 * * [simplify]: iters left: 5 (252 enodes) 529.349 * * [simplify]: Extracting #0: cost 1 inf + 0 529.350 * * [simplify]: Extracting #1: cost 3 inf + 0 529.350 * * [simplify]: Extracting #2: cost 6 inf + 0 529.350 * * [simplify]: Extracting #3: cost 10 inf + 0 529.350 * * [simplify]: Extracting #4: cost 20 inf + 0 529.350 * * [simplify]: Extracting #5: cost 127 inf + 0 529.351 * * [simplify]: Extracting #6: cost 284 inf + 44 529.352 * * [simplify]: Extracting #7: cost 290 inf + 5330 529.360 * * [simplify]: Extracting #8: cost 183 inf + 27722 529.369 * * [simplify]: Extracting #9: cost 117 inf + 47060 529.386 * * [simplify]: Extracting #10: cost 23 inf + 86289 529.406 * * [simplify]: Extracting #11: cost 0 inf + 103623 529.425 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 529.425 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 529.426 * * * * [progress]: [ 1787 / 4754 ] simplifiying candidate # 529.426 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 529.426 * * [simplify]: iters left: 6 (42 enodes) 529.440 * * [simplify]: iters left: 5 (220 enodes) 529.490 * * [simplify]: Extracting #0: cost 1 inf + 0 529.491 * * [simplify]: Extracting #1: cost 3 inf + 0 529.491 * * [simplify]: Extracting #2: cost 6 inf + 0 529.491 * * [simplify]: Extracting #3: cost 10 inf + 0 529.491 * * [simplify]: Extracting #4: cost 20 inf + 0 529.491 * * [simplify]: Extracting #5: cost 122 inf + 0 529.491 * * [simplify]: Extracting #6: cost 257 inf + 44 529.493 * * [simplify]: Extracting #7: cost 251 inf + 4568 529.496 * * [simplify]: Extracting #8: cost 175 inf + 16919 529.503 * * [simplify]: Extracting #9: cost 100 inf + 39273 529.518 * * [simplify]: Extracting #10: cost 30 inf + 68089 529.535 * * [simplify]: Extracting #11: cost 5 inf + 82063 529.552 * * [simplify]: Extracting #12: cost 0 inf + 85600 529.569 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 529.569 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 529.569 * * * * [progress]: [ 1788 / 4754 ] simplifiying candidate # 529.570 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 529.570 * * [simplify]: iters left: 6 (47 enodes) 529.583 * * [simplify]: iters left: 5 (246 enodes) 529.642 * * [simplify]: Extracting #0: cost 1 inf + 0 529.642 * * [simplify]: Extracting #1: cost 3 inf + 0 529.642 * * [simplify]: Extracting #2: cost 6 inf + 0 529.642 * * [simplify]: Extracting #3: cost 10 inf + 0 529.642 * * [simplify]: Extracting #4: cost 24 inf + 0 529.643 * * [simplify]: Extracting #5: cost 143 inf + 0 529.643 * * [simplify]: Extracting #6: cost 279 inf + 44 529.645 * * [simplify]: Extracting #7: cost 273 inf + 5135 529.649 * * [simplify]: Extracting #8: cost 180 inf + 24107 529.657 * * [simplify]: Extracting #9: cost 117 inf + 43756 529.674 * * [simplify]: Extracting #10: cost 27 inf + 78813 529.691 * * [simplify]: Extracting #11: cost 6 inf + 90228 529.710 * * [simplify]: Extracting #12: cost 3 inf + 93823 529.730 * * [simplify]: Extracting #13: cost 0 inf + 98778 529.748 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 529.748 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 529.749 * * * * [progress]: [ 1789 / 4754 ] simplifiying candidate # 529.749 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 529.749 * * [simplify]: iters left: 6 (41 enodes) 529.762 * * [simplify]: iters left: 5 (210 enodes) 529.809 * * [simplify]: Extracting #0: cost 1 inf + 0 529.809 * * [simplify]: Extracting #1: cost 3 inf + 0 529.809 * * [simplify]: Extracting #2: cost 6 inf + 0 529.809 * * [simplify]: Extracting #3: cost 10 inf + 0 529.809 * * [simplify]: Extracting #4: cost 24 inf + 0 529.810 * * [simplify]: Extracting #5: cost 118 inf + 0 529.810 * * [simplify]: Extracting #6: cost 228 inf + 44 529.811 * * [simplify]: Extracting #7: cost 223 inf + 3835 529.814 * * [simplify]: Extracting #8: cost 156 inf + 15292 529.820 * * [simplify]: Extracting #9: cost 93 inf + 35117 529.834 * * [simplify]: Extracting #10: cost 31 inf + 59021 529.848 * * [simplify]: Extracting #11: cost 7 inf + 69861 529.862 * * [simplify]: Extracting #12: cost 2 inf + 74933 529.879 * * [simplify]: Extracting #13: cost 0 inf + 77823 529.894 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 529.894 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 529.895 * * * * [progress]: [ 1790 / 4754 ] simplifiying candidate # 529.895 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 529.895 * * [simplify]: iters left: 6 (47 enodes) 529.908 * * [simplify]: iters left: 5 (246 enodes) 529.967 * * [simplify]: Extracting #0: cost 1 inf + 0 529.967 * * [simplify]: Extracting #1: cost 3 inf + 0 529.967 * * [simplify]: Extracting #2: cost 6 inf + 0 529.967 * * [simplify]: Extracting #3: cost 10 inf + 0 529.967 * * [simplify]: Extracting #4: cost 24 inf + 0 529.968 * * [simplify]: Extracting #5: cost 143 inf + 0 529.968 * * [simplify]: Extracting #6: cost 279 inf + 44 529.970 * * [simplify]: Extracting #7: cost 274 inf + 5011 529.974 * * [simplify]: Extracting #8: cost 180 inf + 24267 529.985 * * [simplify]: Extracting #9: cost 116 inf + 44479 530.000 * * [simplify]: Extracting #10: cost 25 inf + 80343 530.019 * * [simplify]: Extracting #11: cost 6 inf + 90868 530.036 * * [simplify]: Extracting #12: cost 3 inf + 94463 530.055 * * [simplify]: Extracting #13: cost 0 inf + 99418 530.075 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 530.075 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 530.075 * * * * [progress]: [ 1791 / 4754 ] simplifiying candidate # 530.076 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 530.076 * * [simplify]: iters left: 6 (40 enodes) 530.087 * * [simplify]: iters left: 5 (208 enodes) 530.134 * * [simplify]: Extracting #0: cost 1 inf + 0 530.134 * * [simplify]: Extracting #1: cost 3 inf + 0 530.134 * * [simplify]: Extracting #2: cost 6 inf + 0 530.134 * * [simplify]: Extracting #3: cost 10 inf + 0 530.134 * * [simplify]: Extracting #4: cost 24 inf + 0 530.134 * * [simplify]: Extracting #5: cost 116 inf + 0 530.135 * * [simplify]: Extracting #6: cost 227 inf + 44 530.136 * * [simplify]: Extracting #7: cost 214 inf + 5054 530.143 * * [simplify]: Extracting #8: cost 118 inf + 26574 530.155 * * [simplify]: Extracting #9: cost 22 inf + 65027 530.170 * * [simplify]: Extracting #10: cost 12 inf + 69892 530.185 * * [simplify]: Extracting #11: cost 4 inf + 73985 530.200 * * [simplify]: Extracting #12: cost 0 inf + 77099 530.216 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 530.216 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 530.217 * * * * [progress]: [ 1792 / 4754 ] simplifiying candidate # 530.217 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 530.217 * * [simplify]: iters left: 6 (49 enodes) 530.232 * * [simplify]: iters left: 5 (244 enodes) 530.287 * * [simplify]: Extracting #0: cost 1 inf + 0 530.287 * * [simplify]: Extracting #1: cost 3 inf + 0 530.287 * * [simplify]: Extracting #2: cost 6 inf + 0 530.287 * * [simplify]: Extracting #3: cost 10 inf + 0 530.288 * * [simplify]: Extracting #4: cost 20 inf + 0 530.288 * * [simplify]: Extracting #5: cost 124 inf + 0 530.288 * * [simplify]: Extracting #6: cost 273 inf + 44 530.290 * * [simplify]: Extracting #7: cost 292 inf + 3676 530.294 * * [simplify]: Extracting #8: cost 203 inf + 20857 530.303 * * [simplify]: Extracting #9: cost 153 inf + 34101 530.317 * * [simplify]: Extracting #10: cost 40 inf + 84163 530.337 * * [simplify]: Extracting #11: cost 3 inf + 107146 530.358 * * [simplify]: Extracting #12: cost 0 inf + 111581 530.378 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 530.379 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 530.379 * * * * [progress]: [ 1793 / 4754 ] simplifiying candidate # 530.380 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 530.380 * * [simplify]: iters left: 6 (49 enodes) 530.394 * * [simplify]: iters left: 5 (246 enodes) 530.452 * * [simplify]: Extracting #0: cost 1 inf + 0 530.452 * * [simplify]: Extracting #1: cost 3 inf + 0 530.452 * * [simplify]: Extracting #2: cost 6 inf + 0 530.452 * * [simplify]: Extracting #3: cost 10 inf + 0 530.452 * * [simplify]: Extracting #4: cost 20 inf + 0 530.452 * * [simplify]: Extracting #5: cost 125 inf + 0 530.453 * * [simplify]: Extracting #6: cost 283 inf + 44 530.454 * * [simplify]: Extracting #7: cost 295 inf + 4323 530.462 * * [simplify]: Extracting #8: cost 184 inf + 25615 530.471 * * [simplify]: Extracting #9: cost 98 inf + 57224 530.486 * * [simplify]: Extracting #10: cost 24 inf + 93249 530.507 * * [simplify]: Extracting #11: cost 2 inf + 110666 530.528 * * [simplify]: Extracting #12: cost 0 inf + 113116 530.549 * * [simplify]: Extracting #13: cost 0 inf + 112876 530.570 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 530.570 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 530.571 * * * * [progress]: [ 1794 / 4754 ] simplifiying candidate # 530.571 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 530.571 * * [simplify]: iters left: 6 (49 enodes) 530.585 * * [simplify]: iters left: 5 (246 enodes) 530.645 * * [simplify]: Extracting #0: cost 1 inf + 0 530.645 * * [simplify]: Extracting #1: cost 3 inf + 0 530.645 * * [simplify]: Extracting #2: cost 6 inf + 0 530.645 * * [simplify]: Extracting #3: cost 10 inf + 0 530.645 * * [simplify]: Extracting #4: cost 20 inf + 0 530.645 * * [simplify]: Extracting #5: cost 128 inf + 0 530.646 * * [simplify]: Extracting #6: cost 281 inf + 44 530.648 * * [simplify]: Extracting #7: cost 285 inf + 4249 530.653 * * [simplify]: Extracting #8: cost 195 inf + 21112 530.661 * * [simplify]: Extracting #9: cost 127 inf + 45122 530.675 * * [simplify]: Extracting #10: cost 27 inf + 90193 530.694 * * [simplify]: Extracting #11: cost 3 inf + 105261 530.718 * * [simplify]: Extracting #12: cost 0 inf + 109776 530.738 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 530.738 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 530.738 * * * * [progress]: [ 1795 / 4754 ] simplifiying candidate # 530.739 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 530.739 * * [simplify]: iters left: 6 (43 enodes) 530.750 * * [simplify]: iters left: 5 (210 enodes) 530.800 * * [simplify]: Extracting #0: cost 1 inf + 0 530.800 * * [simplify]: Extracting #1: cost 3 inf + 0 530.800 * * [simplify]: Extracting #2: cost 6 inf + 0 530.800 * * [simplify]: Extracting #3: cost 10 inf + 0 530.800 * * [simplify]: Extracting #4: cost 20 inf + 0 530.800 * * [simplify]: Extracting #5: cost 119 inf + 0 530.801 * * [simplify]: Extracting #6: cost 244 inf + 44 530.802 * * [simplify]: Extracting #7: cost 233 inf + 5372 530.807 * * [simplify]: Extracting #8: cost 128 inf + 29189 530.819 * * [simplify]: Extracting #9: cost 30 inf + 72483 530.834 * * [simplify]: Extracting #10: cost 14 inf + 81604 530.851 * * [simplify]: Extracting #11: cost 3 inf + 88148 530.871 * * [simplify]: Extracting #12: cost 0 inf + 89035 530.887 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* (* lambda2 lambda2) (- lambda2)) (* lambda1 (* lambda1 lambda1)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* (* lambda2 lambda2) (- lambda2)) (* lambda1 (* lambda1 lambda1)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 530.887 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* (* lambda2 lambda2) (- lambda2)) (* lambda1 (* lambda1 lambda1)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* (* lambda2 lambda2) (- lambda2)) (* lambda1 (* lambda1 lambda1)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 530.888 * * * * [progress]: [ 1796 / 4754 ] simplifiying candidate # 530.888 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 530.889 * * [simplify]: iters left: 6 (48 enodes) 530.901 * * [simplify]: iters left: 5 (240 enodes) 530.960 * * [simplify]: Extracting #0: cost 1 inf + 0 530.960 * * [simplify]: Extracting #1: cost 3 inf + 0 530.960 * * [simplify]: Extracting #2: cost 6 inf + 0 530.960 * * [simplify]: Extracting #3: cost 10 inf + 0 530.960 * * [simplify]: Extracting #4: cost 24 inf + 0 530.961 * * [simplify]: Extracting #5: cost 144 inf + 0 530.962 * * [simplify]: Extracting #6: cost 275 inf + 85 530.963 * * [simplify]: Extracting #7: cost 268 inf + 4528 530.968 * * [simplify]: Extracting #8: cost 163 inf + 27277 530.979 * * [simplify]: Extracting #9: cost 70 inf + 62845 530.995 * * [simplify]: Extracting #10: cost 13 inf + 92445 531.013 * * [simplify]: Extracting #11: cost 2 inf + 101467 531.035 * * [simplify]: Extracting #12: cost 0 inf + 104917 531.054 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 531.054 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 531.055 * * * * [progress]: [ 1797 / 4754 ] simplifiying candidate # 531.055 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 531.055 * * [simplify]: iters left: 6 (42 enodes) 531.067 * * [simplify]: iters left: 5 (203 enodes) 531.113 * * [simplify]: Extracting #0: cost 1 inf + 0 531.113 * * [simplify]: Extracting #1: cost 3 inf + 0 531.113 * * [simplify]: Extracting #2: cost 6 inf + 0 531.113 * * [simplify]: Extracting #3: cost 10 inf + 0 531.113 * * [simplify]: Extracting #4: cost 24 inf + 0 531.113 * * [simplify]: Extracting #5: cost 120 inf + 0 531.114 * * [simplify]: Extracting #6: cost 223 inf + 44 531.115 * * [simplify]: Extracting #7: cost 206 inf + 5218 531.118 * * [simplify]: Extracting #8: cost 143 inf + 17268 531.124 * * [simplify]: Extracting #9: cost 95 inf + 32202 531.134 * * [simplify]: Extracting #10: cost 32 inf + 59522 531.147 * * [simplify]: Extracting #11: cost 6 inf + 71599 531.162 * * [simplify]: Extracting #12: cost 0 inf + 79189 531.178 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 531.178 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 531.179 * * * * [progress]: [ 1798 / 4754 ] simplifiying candidate # 531.179 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 531.179 * * [simplify]: iters left: 6 (48 enodes) 531.195 * * [simplify]: iters left: 5 (240 enodes) 531.249 * * [simplify]: Extracting #0: cost 1 inf + 0 531.250 * * [simplify]: Extracting #1: cost 3 inf + 0 531.250 * * [simplify]: Extracting #2: cost 6 inf + 0 531.250 * * [simplify]: Extracting #3: cost 10 inf + 0 531.250 * * [simplify]: Extracting #4: cost 24 inf + 0 531.250 * * [simplify]: Extracting #5: cost 144 inf + 0 531.251 * * [simplify]: Extracting #6: cost 275 inf + 85 531.252 * * [simplify]: Extracting #7: cost 268 inf + 4528 531.259 * * [simplify]: Extracting #8: cost 161 inf + 28325 531.270 * * [simplify]: Extracting #9: cost 70 inf + 63805 531.286 * * [simplify]: Extracting #10: cost 13 inf + 93085 531.306 * * [simplify]: Extracting #11: cost 2 inf + 102107 531.326 * * [simplify]: Extracting #12: cost 0 inf + 105557 531.346 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 531.346 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 531.346 * * * * [progress]: [ 1799 / 4754 ] simplifiying candidate # 531.347 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 531.347 * * [simplify]: iters left: 6 (41 enodes) 531.358 * * [simplify]: iters left: 5 (200 enodes) 531.402 * * [simplify]: Extracting #0: cost 1 inf + 0 531.402 * * [simplify]: Extracting #1: cost 3 inf + 0 531.402 * * [simplify]: Extracting #2: cost 6 inf + 0 531.402 * * [simplify]: Extracting #3: cost 10 inf + 0 531.402 * * [simplify]: Extracting #4: cost 24 inf + 0 531.403 * * [simplify]: Extracting #5: cost 118 inf + 0 531.403 * * [simplify]: Extracting #6: cost 222 inf + 44 531.404 * * [simplify]: Extracting #7: cost 210 inf + 4764 531.407 * * [simplify]: Extracting #8: cost 141 inf + 17352 531.416 * * [simplify]: Extracting #9: cost 95 inf + 33066 531.427 * * [simplify]: Extracting #10: cost 30 inf + 60048 531.440 * * [simplify]: Extracting #11: cost 9 inf + 70106 531.454 * * [simplify]: Extracting #12: cost 1 inf + 77440 531.470 * * [simplify]: Extracting #13: cost 0 inf + 78745 531.485 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 531.485 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 531.485 * * * * [progress]: [ 1800 / 4754 ] simplifiying candidate # 531.486 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 531.486 * * [simplify]: iters left: 6 (49 enodes) 531.500 * * [simplify]: iters left: 5 (245 enodes) 531.556 * * [simplify]: Extracting #0: cost 1 inf + 0 531.556 * * [simplify]: Extracting #1: cost 3 inf + 0 531.556 * * [simplify]: Extracting #2: cost 6 inf + 0 531.556 * * [simplify]: Extracting #3: cost 10 inf + 0 531.556 * * [simplify]: Extracting #4: cost 20 inf + 0 531.556 * * [simplify]: Extracting #5: cost 121 inf + 0 531.557 * * [simplify]: Extracting #6: cost 271 inf + 44 531.558 * * [simplify]: Extracting #7: cost 288 inf + 4004 531.562 * * [simplify]: Extracting #8: cost 200 inf + 20860 531.572 * * [simplify]: Extracting #9: cost 145 inf + 36548 531.585 * * [simplify]: Extracting #10: cost 35 inf + 81099 531.605 * * [simplify]: Extracting #11: cost 2 inf + 102443 531.625 * * [simplify]: Extracting #12: cost 0 inf + 104093 531.644 * * [simplify]: Extracting #13: cost 0 inf + 103853 531.665 * * [simplify]: Extracting #14: cost 0 inf + 103773 531.685 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 531.685 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 531.685 * * * * [progress]: [ 1801 / 4754 ] simplifiying candidate # 531.686 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 531.686 * * [simplify]: iters left: 6 (49 enodes) 531.699 * * [simplify]: iters left: 5 (247 enodes) 531.758 * * [simplify]: Extracting #0: cost 1 inf + 0 531.758 * * [simplify]: Extracting #1: cost 3 inf + 0 531.758 * * [simplify]: Extracting #2: cost 6 inf + 0 531.758 * * [simplify]: Extracting #3: cost 10 inf + 0 531.758 * * [simplify]: Extracting #4: cost 20 inf + 0 531.759 * * [simplify]: Extracting #5: cost 122 inf + 0 531.759 * * [simplify]: Extracting #6: cost 281 inf + 44 531.761 * * [simplify]: Extracting #7: cost 297 inf + 3918 531.765 * * [simplify]: Extracting #8: cost 175 inf + 27652 531.777 * * [simplify]: Extracting #9: cost 71 inf + 67593 531.794 * * [simplify]: Extracting #10: cost 18 inf + 91326 531.815 * * [simplify]: Extracting #11: cost 2 inf + 101058 531.835 * * [simplify]: Extracting #12: cost 0 inf + 104668 531.854 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))))))) 531.855 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 531.855 * * * * [progress]: [ 1802 / 4754 ] simplifiying candidate # 531.855 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 531.856 * * [simplify]: iters left: 6 (49 enodes) 531.869 * * [simplify]: iters left: 5 (247 enodes) 531.931 * * [simplify]: Extracting #0: cost 1 inf + 0 531.932 * * [simplify]: Extracting #1: cost 3 inf + 0 531.932 * * [simplify]: Extracting #2: cost 6 inf + 0 531.932 * * [simplify]: Extracting #3: cost 10 inf + 0 531.932 * * [simplify]: Extracting #4: cost 20 inf + 0 531.932 * * [simplify]: Extracting #5: cost 125 inf + 0 531.933 * * [simplify]: Extracting #6: cost 280 inf + 44 531.934 * * [simplify]: Extracting #7: cost 294 inf + 3188 531.938 * * [simplify]: Extracting #8: cost 192 inf + 21476 531.945 * * [simplify]: Extracting #9: cost 125 inf + 43014 531.959 * * [simplify]: Extracting #10: cost 24 inf + 84446 531.980 * * [simplify]: Extracting #11: cost 3 inf + 98118 531.999 * * [simplify]: Extracting #12: cost 0 inf + 101993 532.018 * * [simplify]: Extracting #13: cost 0 inf + 101873 532.037 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 532.037 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.037 * * * * [progress]: [ 1803 / 4754 ] simplifiying candidate # 532.038 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 532.038 * * [simplify]: iters left: 6 (43 enodes) 532.049 * * [simplify]: iters left: 5 (211 enodes) 532.097 * * [simplify]: Extracting #0: cost 1 inf + 0 532.097 * * [simplify]: Extracting #1: cost 3 inf + 0 532.097 * * [simplify]: Extracting #2: cost 6 inf + 0 532.097 * * [simplify]: Extracting #3: cost 10 inf + 0 532.097 * * [simplify]: Extracting #4: cost 20 inf + 0 532.098 * * [simplify]: Extracting #5: cost 116 inf + 0 532.098 * * [simplify]: Extracting #6: cost 243 inf + 44 532.099 * * [simplify]: Extracting #7: cost 232 inf + 5136 532.104 * * [simplify]: Extracting #8: cost 129 inf + 26102 532.114 * * [simplify]: Extracting #9: cost 35 inf + 61895 532.131 * * [simplify]: Extracting #10: cost 15 inf + 73063 532.146 * * [simplify]: Extracting #11: cost 4 inf + 77272 532.161 * * [simplify]: Extracting #12: cost 0 inf + 82852 532.177 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 532.177 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.177 * * * * [progress]: [ 1804 / 4754 ] simplifiying candidate # 532.178 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 532.178 * * [simplify]: iters left: 6 (48 enodes) 532.191 * * [simplify]: iters left: 5 (241 enodes) 532.250 * * [simplify]: Extracting #0: cost 1 inf + 0 532.250 * * [simplify]: Extracting #1: cost 3 inf + 0 532.250 * * [simplify]: Extracting #2: cost 6 inf + 0 532.250 * * [simplify]: Extracting #3: cost 10 inf + 0 532.250 * * [simplify]: Extracting #4: cost 24 inf + 0 532.250 * * [simplify]: Extracting #5: cost 141 inf + 0 532.251 * * [simplify]: Extracting #6: cost 275 inf + 44 532.252 * * [simplify]: Extracting #7: cost 276 inf + 3150 532.255 * * [simplify]: Extracting #8: cost 196 inf + 16311 532.261 * * [simplify]: Extracting #9: cost 130 inf + 37403 532.275 * * [simplify]: Extracting #10: cost 23 inf + 80395 532.295 * * [simplify]: Extracting #11: cost 1 inf + 96128 532.313 * * [simplify]: Extracting #12: cost 0 inf + 97073 532.330 * * [simplify]: Extracting #13: cost 0 inf + 96713 532.348 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (- phi1 phi2)))))) 532.348 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.349 * * * * [progress]: [ 1805 / 4754 ] simplifiying candidate # 532.349 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 532.349 * * [simplify]: iters left: 6 (42 enodes) 532.360 * * [simplify]: iters left: 5 (205 enodes) 532.407 * * [simplify]: Extracting #0: cost 1 inf + 0 532.407 * * [simplify]: Extracting #1: cost 3 inf + 0 532.407 * * [simplify]: Extracting #2: cost 6 inf + 0 532.407 * * [simplify]: Extracting #3: cost 10 inf + 0 532.407 * * [simplify]: Extracting #4: cost 24 inf + 0 532.407 * * [simplify]: Extracting #5: cost 119 inf + 0 532.408 * * [simplify]: Extracting #6: cost 227 inf + 44 532.409 * * [simplify]: Extracting #7: cost 220 inf + 3554 532.412 * * [simplify]: Extracting #8: cost 119 inf + 24683 532.423 * * [simplify]: Extracting #9: cost 29 inf + 61082 532.437 * * [simplify]: Extracting #10: cost 8 inf + 74489 532.455 * * [simplify]: Extracting #11: cost 1 inf + 75797 532.469 * * [simplify]: Extracting #12: cost 0 inf + 75769 532.484 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 532.484 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.485 * * * * [progress]: [ 1806 / 4754 ] simplifiying candidate # 532.485 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 532.485 * * [simplify]: iters left: 6 (48 enodes) 532.498 * * [simplify]: iters left: 5 (241 enodes) 532.559 * * [simplify]: Extracting #0: cost 1 inf + 0 532.559 * * [simplify]: Extracting #1: cost 3 inf + 0 532.559 * * [simplify]: Extracting #2: cost 6 inf + 0 532.559 * * [simplify]: Extracting #3: cost 10 inf + 0 532.559 * * [simplify]: Extracting #4: cost 24 inf + 0 532.559 * * [simplify]: Extracting #5: cost 141 inf + 0 532.560 * * [simplify]: Extracting #6: cost 275 inf + 44 532.561 * * [simplify]: Extracting #7: cost 277 inf + 3025 532.564 * * [simplify]: Extracting #8: cost 202 inf + 14847 532.571 * * [simplify]: Extracting #9: cost 132 inf + 37235 532.584 * * [simplify]: Extracting #10: cost 21 inf + 81963 532.602 * * [simplify]: Extracting #11: cost 1 inf + 96768 532.623 * * [simplify]: Extracting #12: cost 0 inf + 97713 532.641 * * [simplify]: Extracting #13: cost 0 inf + 97353 532.659 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (- phi1 phi2)))))) 532.659 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.659 * * * * [progress]: [ 1807 / 4754 ] simplifiying candidate # 532.660 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 532.660 * * [simplify]: iters left: 6 (41 enodes) 532.671 * * [simplify]: iters left: 5 (203 enodes) 532.719 * * [simplify]: Extracting #0: cost 1 inf + 0 532.719 * * [simplify]: Extracting #1: cost 3 inf + 0 532.719 * * [simplify]: Extracting #2: cost 6 inf + 0 532.719 * * [simplify]: Extracting #3: cost 10 inf + 0 532.719 * * [simplify]: Extracting #4: cost 24 inf + 0 532.719 * * [simplify]: Extracting #5: cost 117 inf + 0 532.720 * * [simplify]: Extracting #6: cost 226 inf + 44 532.721 * * [simplify]: Extracting #7: cost 220 inf + 3392 532.725 * * [simplify]: Extracting #8: cost 124 inf + 23763 532.736 * * [simplify]: Extracting #9: cost 24 inf + 62043 532.751 * * [simplify]: Extracting #10: cost 7 inf + 74390 532.766 * * [simplify]: Extracting #11: cost 1 inf + 75673 532.784 * * [simplify]: Extracting #12: cost 0 inf + 75885 532.801 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 532.802 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.802 * * * * [progress]: [ 1808 / 4754 ] simplifiying candidate # 532.803 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 532.803 * * [simplify]: iters left: 6 (49 enodes) 532.820 * * [simplify]: iters left: 5 (245 enodes) 532.880 * * [simplify]: Extracting #0: cost 1 inf + 0 532.880 * * [simplify]: Extracting #1: cost 3 inf + 0 532.880 * * [simplify]: Extracting #2: cost 6 inf + 0 532.880 * * [simplify]: Extracting #3: cost 10 inf + 0 532.880 * * [simplify]: Extracting #4: cost 20 inf + 0 532.880 * * [simplify]: Extracting #5: cost 125 inf + 0 532.881 * * [simplify]: Extracting #6: cost 277 inf + 44 532.882 * * [simplify]: Extracting #7: cost 297 inf + 3756 532.886 * * [simplify]: Extracting #8: cost 199 inf + 21946 532.893 * * [simplify]: Extracting #9: cost 138 inf + 40194 532.908 * * [simplify]: Extracting #10: cost 33 inf + 88731 532.927 * * [simplify]: Extracting #11: cost 5 inf + 102696 532.950 * * [simplify]: Extracting #12: cost 2 inf + 107331 532.971 * * [simplify]: Extracting #13: cost 0 inf + 110781 532.993 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 532.993 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 532.994 * * * * [progress]: [ 1809 / 4754 ] simplifiying candidate # 532.994 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 532.994 * * [simplify]: iters left: 6 (49 enodes) 533.007 * * [simplify]: iters left: 5 (247 enodes) 533.067 * * [simplify]: Extracting #0: cost 1 inf + 0 533.067 * * [simplify]: Extracting #1: cost 3 inf + 0 533.067 * * [simplify]: Extracting #2: cost 6 inf + 0 533.067 * * [simplify]: Extracting #3: cost 10 inf + 0 533.067 * * [simplify]: Extracting #4: cost 20 inf + 0 533.067 * * [simplify]: Extracting #5: cost 126 inf + 0 533.068 * * [simplify]: Extracting #6: cost 288 inf + 44 533.069 * * [simplify]: Extracting #7: cost 295 inf + 5132 533.074 * * [simplify]: Extracting #8: cost 165 inf + 32692 533.088 * * [simplify]: Extracting #9: cost 40 inf + 88144 533.111 * * [simplify]: Extracting #10: cost 6 inf + 108203 533.132 * * [simplify]: Extracting #11: cost 0 inf + 112501 533.154 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 533.154 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 533.155 * * * * [progress]: [ 1810 / 4754 ] simplifiying candidate # 533.155 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 533.155 * * [simplify]: iters left: 6 (49 enodes) 533.168 * * [simplify]: iters left: 5 (247 enodes) 533.227 * * [simplify]: Extracting #0: cost 1 inf + 0 533.227 * * [simplify]: Extracting #1: cost 3 inf + 0 533.227 * * [simplify]: Extracting #2: cost 6 inf + 0 533.227 * * [simplify]: Extracting #3: cost 10 inf + 0 533.228 * * [simplify]: Extracting #4: cost 20 inf + 0 533.228 * * [simplify]: Extracting #5: cost 129 inf + 0 533.228 * * [simplify]: Extracting #6: cost 286 inf + 44 533.230 * * [simplify]: Extracting #7: cost 295 inf + 4362 533.235 * * [simplify]: Extracting #8: cost 166 inf + 32321 533.248 * * [simplify]: Extracting #9: cost 56 inf + 77562 533.269 * * [simplify]: Extracting #10: cost 11 inf + 102939 533.289 * * [simplify]: Extracting #11: cost 0 inf + 109761 533.310 * * [simplify]: Extracting #12: cost 0 inf + 109521 533.330 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ phi1 phi2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 533.330 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ phi1 phi2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 533.330 * * * * [progress]: [ 1811 / 4754 ] simplifiying candidate # 533.331 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 533.331 * * [simplify]: iters left: 6 (43 enodes) 533.344 * * [simplify]: iters left: 5 (211 enodes) 533.391 * * [simplify]: Extracting #0: cost 1 inf + 0 533.391 * * [simplify]: Extracting #1: cost 3 inf + 0 533.391 * * [simplify]: Extracting #2: cost 6 inf + 0 533.391 * * [simplify]: Extracting #3: cost 10 inf + 0 533.391 * * [simplify]: Extracting #4: cost 20 inf + 0 533.391 * * [simplify]: Extracting #5: cost 120 inf + 0 533.391 * * [simplify]: Extracting #6: cost 249 inf + 44 533.393 * * [simplify]: Extracting #7: cost 235 inf + 6426 533.398 * * [simplify]: Extracting #8: cost 119 inf + 33365 533.413 * * [simplify]: Extracting #9: cost 28 inf + 70720 533.428 * * [simplify]: Extracting #10: cost 6 inf + 82083 533.444 * * [simplify]: Extracting #11: cost 1 inf + 87075 533.461 * * [simplify]: Extracting #12: cost 0 inf + 88540 533.479 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 533.479 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 533.479 * * * * [progress]: [ 1812 / 4754 ] simplifiying candidate # 533.480 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 533.480 * * [simplify]: iters left: 6 (48 enodes) 533.493 * * [simplify]: iters left: 5 (241 enodes) 533.550 * * [simplify]: Extracting #0: cost 1 inf + 0 533.550 * * [simplify]: Extracting #1: cost 3 inf + 0 533.550 * * [simplify]: Extracting #2: cost 6 inf + 0 533.550 * * [simplify]: Extracting #3: cost 10 inf + 0 533.550 * * [simplify]: Extracting #4: cost 24 inf + 0 533.551 * * [simplify]: Extracting #5: cost 145 inf + 0 533.551 * * [simplify]: Extracting #6: cost 279 inf + 85 533.553 * * [simplify]: Extracting #7: cost 270 inf + 5053 533.558 * * [simplify]: Extracting #8: cost 159 inf + 31693 533.572 * * [simplify]: Extracting #9: cost 55 inf + 72411 533.590 * * [simplify]: Extracting #10: cost 5 inf + 101847 533.610 * * [simplify]: Extracting #11: cost 0 inf + 104277 533.629 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 533.629 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 533.629 * * * * [progress]: [ 1813 / 4754 ] simplifiying candidate # 533.630 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 533.630 * * [simplify]: iters left: 6 (42 enodes) 533.641 * * [simplify]: iters left: 5 (205 enodes) 533.688 * * [simplify]: Extracting #0: cost 1 inf + 0 533.688 * * [simplify]: Extracting #1: cost 3 inf + 0 533.688 * * [simplify]: Extracting #2: cost 6 inf + 0 533.688 * * [simplify]: Extracting #3: cost 10 inf + 0 533.688 * * [simplify]: Extracting #4: cost 24 inf + 0 533.688 * * [simplify]: Extracting #5: cost 124 inf + 0 533.689 * * [simplify]: Extracting #6: cost 232 inf + 44 533.690 * * [simplify]: Extracting #7: cost 219 inf + 5493 533.693 * * [simplify]: Extracting #8: cost 143 inf + 20176 533.699 * * [simplify]: Extracting #9: cost 88 inf + 36796 533.711 * * [simplify]: Extracting #10: cost 14 inf + 70383 533.727 * * [simplify]: Extracting #11: cost 1 inf + 80428 533.745 * * [simplify]: Extracting #12: cost 0 inf + 81413 533.761 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 533.762 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 533.762 * * * * [progress]: [ 1814 / 4754 ] simplifiying candidate # 533.762 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 533.763 * * [simplify]: iters left: 6 (48 enodes) 533.775 * * [simplify]: iters left: 5 (241 enodes) 533.836 * * [simplify]: Extracting #0: cost 1 inf + 0 533.836 * * [simplify]: Extracting #1: cost 3 inf + 0 533.836 * * [simplify]: Extracting #2: cost 6 inf + 0 533.836 * * [simplify]: Extracting #3: cost 10 inf + 0 533.836 * * [simplify]: Extracting #4: cost 24 inf + 0 533.836 * * [simplify]: Extracting #5: cost 145 inf + 0 533.837 * * [simplify]: Extracting #6: cost 279 inf + 85 533.839 * * [simplify]: Extracting #7: cost 273 inf + 4485 533.844 * * [simplify]: Extracting #8: cost 159 inf + 32211 533.855 * * [simplify]: Extracting #9: cost 58 inf + 70296 533.872 * * [simplify]: Extracting #10: cost 9 inf + 94987 533.894 * * [simplify]: Extracting #11: cost 0 inf + 104917 533.913 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 533.913 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 533.914 * * * * [progress]: [ 1815 / 4754 ] simplifiying candidate # 533.914 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 533.914 * * [simplify]: iters left: 6 (41 enodes) 533.925 * * [simplify]: iters left: 5 (202 enodes) 533.972 * * [simplify]: Extracting #0: cost 1 inf + 0 533.972 * * [simplify]: Extracting #1: cost 3 inf + 0 533.972 * * [simplify]: Extracting #2: cost 6 inf + 0 533.972 * * [simplify]: Extracting #3: cost 10 inf + 0 533.972 * * [simplify]: Extracting #4: cost 24 inf + 0 533.972 * * [simplify]: Extracting #5: cost 122 inf + 0 533.973 * * [simplify]: Extracting #6: cost 231 inf + 44 533.974 * * [simplify]: Extracting #7: cost 217 inf + 5452 533.977 * * [simplify]: Extracting #8: cost 143 inf + 20013 533.984 * * [simplify]: Extracting #9: cost 87 inf + 37730 533.995 * * [simplify]: Extracting #10: cost 18 inf + 68345 534.010 * * [simplify]: Extracting #11: cost 2 inf + 78879 534.026 * * [simplify]: Extracting #12: cost 0 inf + 81209 534.041 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 534.041 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 534.042 * * * * [progress]: [ 1816 / 4754 ] simplifiying candidate # 534.042 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 534.042 * * [simplify]: iters left: 6 (49 enodes) 534.057 * * [simplify]: iters left: 5 (245 enodes) 534.115 * * [simplify]: Extracting #0: cost 1 inf + 0 534.115 * * [simplify]: Extracting #1: cost 3 inf + 0 534.115 * * [simplify]: Extracting #2: cost 6 inf + 0 534.115 * * [simplify]: Extracting #3: cost 10 inf + 0 534.115 * * [simplify]: Extracting #4: cost 20 inf + 0 534.115 * * [simplify]: Extracting #5: cost 120 inf + 0 534.116 * * [simplify]: Extracting #6: cost 269 inf + 44 534.118 * * [simplify]: Extracting #7: cost 292 inf + 3594 534.125 * * [simplify]: Extracting #8: cost 201 inf + 20256 534.134 * * [simplify]: Extracting #9: cost 123 inf + 43170 534.148 * * [simplify]: Extracting #10: cost 23 inf + 84571 534.167 * * [simplify]: Extracting #11: cost 3 inf + 99098 534.186 * * [simplify]: Extracting #12: cost 0 inf + 103573 534.206 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))))))) 534.206 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 534.207 * * * * [progress]: [ 1817 / 4754 ] simplifiying candidate # 534.207 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 534.208 * * [simplify]: iters left: 6 (49 enodes) 534.222 * * [simplify]: iters left: 5 (247 enodes) 534.279 * * [simplify]: Extracting #0: cost 1 inf + 0 534.279 * * [simplify]: Extracting #1: cost 3 inf + 0 534.279 * * [simplify]: Extracting #2: cost 6 inf + 0 534.279 * * [simplify]: Extracting #3: cost 10 inf + 0 534.279 * * [simplify]: Extracting #4: cost 20 inf + 0 534.280 * * [simplify]: Extracting #5: cost 121 inf + 0 534.280 * * [simplify]: Extracting #6: cost 280 inf + 44 534.285 * * [simplify]: Extracting #7: cost 288 inf + 5177 534.289 * * [simplify]: Extracting #8: cost 176 inf + 27230 534.301 * * [simplify]: Extracting #9: cost 65 inf + 70809 534.317 * * [simplify]: Extracting #10: cost 10 inf + 93936 534.336 * * [simplify]: Extracting #11: cost 2 inf + 101363 534.356 * * [simplify]: Extracting #12: cost 0 inf + 104733 534.377 * * [simplify]: Extracting #13: cost 0 inf + 104653 534.396 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 534.409 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 534.410 * * * * [progress]: [ 1818 / 4754 ] simplifiying candidate # 534.410 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 534.411 * * [simplify]: iters left: 6 (49 enodes) 534.424 * * [simplify]: iters left: 5 (247 enodes) 534.487 * * [simplify]: Extracting #0: cost 1 inf + 0 534.487 * * [simplify]: Extracting #1: cost 3 inf + 0 534.487 * * [simplify]: Extracting #2: cost 6 inf + 0 534.487 * * [simplify]: Extracting #3: cost 10 inf + 0 534.487 * * [simplify]: Extracting #4: cost 20 inf + 0 534.487 * * [simplify]: Extracting #5: cost 124 inf + 0 534.488 * * [simplify]: Extracting #6: cost 278 inf + 44 534.489 * * [simplify]: Extracting #7: cost 282 inf + 4891 534.493 * * [simplify]: Extracting #8: cost 189 inf + 21845 534.500 * * [simplify]: Extracting #9: cost 130 inf + 40808 534.514 * * [simplify]: Extracting #10: cost 31 inf + 81004 534.532 * * [simplify]: Extracting #11: cost 3 inf + 97998 534.554 * * [simplify]: Extracting #12: cost 0 inf + 101833 534.573 * * [simplify]: Extracting #13: cost 0 inf + 101353 534.593 * * [simplify]: Extracting #14: cost 0 inf + 101273 534.611 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 534.612 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 534.612 * * * * [progress]: [ 1819 / 4754 ] simplifiying candidate # 534.612 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 534.613 * * [simplify]: iters left: 6 (43 enodes) 534.626 * * [simplify]: iters left: 5 (211 enodes) 534.671 * * [simplify]: Extracting #0: cost 1 inf + 0 534.671 * * [simplify]: Extracting #1: cost 3 inf + 0 534.671 * * [simplify]: Extracting #2: cost 6 inf + 0 534.671 * * [simplify]: Extracting #3: cost 10 inf + 0 534.671 * * [simplify]: Extracting #4: cost 20 inf + 0 534.672 * * [simplify]: Extracting #5: cost 115 inf + 0 534.672 * * [simplify]: Extracting #6: cost 241 inf + 44 534.674 * * [simplify]: Extracting #7: cost 232 inf + 5095 534.677 * * [simplify]: Extracting #8: cost 155 inf + 19261 534.683 * * [simplify]: Extracting #9: cost 112 inf + 31786 534.693 * * [simplify]: Extracting #10: cost 37 inf + 60833 534.710 * * [simplify]: Extracting #11: cost 7 inf + 74797 534.724 * * [simplify]: Extracting #12: cost 4 inf + 77432 534.740 * * [simplify]: Extracting #13: cost 0 inf + 82332 534.756 * * [simplify]: Extracting #14: cost 0 inf + 82252 534.773 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) 534.773 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 534.774 * * * * [progress]: [ 1820 / 4754 ] simplifiying candidate # 534.774 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 534.774 * * [simplify]: iters left: 6 (48 enodes) 534.789 * * [simplify]: iters left: 5 (241 enodes) 534.843 * * [simplify]: Extracting #0: cost 1 inf + 0 534.843 * * [simplify]: Extracting #1: cost 3 inf + 0 534.843 * * [simplify]: Extracting #2: cost 6 inf + 0 534.843 * * [simplify]: Extracting #3: cost 10 inf + 0 534.843 * * [simplify]: Extracting #4: cost 24 inf + 0 534.844 * * [simplify]: Extracting #5: cost 140 inf + 0 534.844 * * [simplify]: Extracting #6: cost 273 inf + 44 534.845 * * [simplify]: Extracting #7: cost 275 inf + 3634 534.849 * * [simplify]: Extracting #8: cost 197 inf + 16714 534.858 * * [simplify]: Extracting #9: cost 135 inf + 35200 534.870 * * [simplify]: Extracting #10: cost 31 inf + 76917 534.887 * * [simplify]: Extracting #11: cost 1 inf + 95168 534.905 * * [simplify]: Extracting #12: cost 0 inf + 96593 534.923 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 534.923 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 534.924 * * * * [progress]: [ 1821 / 4754 ] simplifiying candidate # 534.924 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 534.924 * * [simplify]: iters left: 6 (42 enodes) 534.936 * * [simplify]: iters left: 5 (205 enodes) 534.981 * * [simplify]: Extracting #0: cost 1 inf + 0 534.981 * * [simplify]: Extracting #1: cost 3 inf + 0 534.981 * * [simplify]: Extracting #2: cost 6 inf + 0 534.981 * * [simplify]: Extracting #3: cost 10 inf + 0 534.981 * * [simplify]: Extracting #4: cost 24 inf + 0 534.981 * * [simplify]: Extracting #5: cost 115 inf + 0 534.982 * * [simplify]: Extracting #6: cost 222 inf + 44 534.983 * * [simplify]: Extracting #7: cost 218 inf + 3470 534.987 * * [simplify]: Extracting #8: cost 120 inf + 24718 534.998 * * [simplify]: Extracting #9: cost 23 inf + 63342 535.015 * * [simplify]: Extracting #10: cost 9 inf + 72707 535.030 * * [simplify]: Extracting #11: cost 2 inf + 75015 535.045 * * [simplify]: Extracting #12: cost 0 inf + 75439 535.060 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) 535.060 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 535.060 * * * * [progress]: [ 1822 / 4754 ] simplifiying candidate # 535.061 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 535.061 * * [simplify]: iters left: 6 (48 enodes) 535.075 * * [simplify]: iters left: 5 (241 enodes) 535.134 * * [simplify]: Extracting #0: cost 1 inf + 0 535.134 * * [simplify]: Extracting #1: cost 3 inf + 0 535.134 * * [simplify]: Extracting #2: cost 6 inf + 0 535.134 * * [simplify]: Extracting #3: cost 10 inf + 0 535.134 * * [simplify]: Extracting #4: cost 24 inf + 0 535.134 * * [simplify]: Extracting #5: cost 140 inf + 0 535.135 * * [simplify]: Extracting #6: cost 273 inf + 44 535.136 * * [simplify]: Extracting #7: cost 273 inf + 3879 535.140 * * [simplify]: Extracting #8: cost 203 inf + 15572 535.145 * * [simplify]: Extracting #9: cost 136 inf + 35476 535.158 * * [simplify]: Extracting #10: cost 28 inf + 78950 535.178 * * [simplify]: Extracting #11: cost 1 inf + 95808 535.197 * * [simplify]: Extracting #12: cost 0 inf + 97233 535.215 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 535.215 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 535.215 * * * * [progress]: [ 1823 / 4754 ] simplifiying candidate # 535.216 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 535.216 * * [simplify]: iters left: 6 (41 enodes) 535.227 * * [simplify]: iters left: 5 (203 enodes) 535.274 * * [simplify]: Extracting #0: cost 1 inf + 0 535.274 * * [simplify]: Extracting #1: cost 3 inf + 0 535.274 * * [simplify]: Extracting #2: cost 6 inf + 0 535.274 * * [simplify]: Extracting #3: cost 10 inf + 0 535.274 * * [simplify]: Extracting #4: cost 24 inf + 0 535.274 * * [simplify]: Extracting #5: cost 113 inf + 0 535.275 * * [simplify]: Extracting #6: cost 221 inf + 44 535.276 * * [simplify]: Extracting #7: cost 211 inf + 4163 535.280 * * [simplify]: Extracting #8: cost 124 inf + 23099 535.290 * * [simplify]: Extracting #9: cost 32 inf + 58793 535.304 * * [simplify]: Extracting #10: cost 8 inf + 74088 535.319 * * [simplify]: Extracting #11: cost 1 inf + 75423 535.337 * * [simplify]: Extracting #12: cost 0 inf + 75315 535.352 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 535.352 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 535.353 * * * * [progress]: [ 1824 / 4754 ] simplifiying candidate # 535.353 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 535.353 * * [simplify]: iters left: 6 (42 enodes) 535.364 * * [simplify]: iters left: 5 (210 enodes) 535.417 * * [simplify]: Extracting #0: cost 1 inf + 0 535.418 * * [simplify]: Extracting #1: cost 3 inf + 0 535.418 * * [simplify]: Extracting #2: cost 6 inf + 0 535.418 * * [simplify]: Extracting #3: cost 10 inf + 0 535.418 * * [simplify]: Extracting #4: cost 20 inf + 0 535.418 * * [simplify]: Extracting #5: cost 113 inf + 0 535.418 * * [simplify]: Extracting #6: cost 242 inf + 46 535.420 * * [simplify]: Extracting #7: cost 225 inf + 4915 535.422 * * [simplify]: Extracting #8: cost 157 inf + 16396 535.427 * * [simplify]: Extracting #9: cost 110 inf + 30171 535.438 * * [simplify]: Extracting #10: cost 22 inf + 64956 535.451 * * [simplify]: Extracting #11: cost 7 inf + 70509 535.465 * * [simplify]: Extracting #12: cost 3 inf + 74107 535.479 * * [simplify]: Extracting #13: cost 0 inf + 78422 535.495 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 535.495 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 535.496 * * * * [progress]: [ 1825 / 4754 ] simplifiying candidate # 535.496 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 535.496 * * [simplify]: iters left: 6 (42 enodes) 535.509 * * [simplify]: iters left: 5 (208 enodes) 535.554 * * [simplify]: Extracting #0: cost 1 inf + 0 535.554 * * [simplify]: Extracting #1: cost 3 inf + 0 535.554 * * [simplify]: Extracting #2: cost 6 inf + 0 535.554 * * [simplify]: Extracting #3: cost 10 inf + 0 535.554 * * [simplify]: Extracting #4: cost 23 inf + 0 535.554 * * [simplify]: Extracting #5: cost 120 inf + 0 535.555 * * [simplify]: Extracting #6: cost 243 inf + 44 535.556 * * [simplify]: Extracting #7: cost 221 inf + 5701 535.560 * * [simplify]: Extracting #8: cost 131 inf + 21708 535.572 * * [simplify]: Extracting #9: cost 40 inf + 55585 535.585 * * [simplify]: Extracting #10: cost 11 inf + 71378 535.600 * * [simplify]: Extracting #11: cost 0 inf + 75387 535.614 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 535.614 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 535.615 * * * * [progress]: [ 1826 / 4754 ] simplifiying candidate # 535.615 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 535.615 * * [simplify]: iters left: 6 (45 enodes) 535.628 * * [simplify]: iters left: 5 (239 enodes) 535.688 * * [simplify]: Extracting #0: cost 1 inf + 0 535.688 * * [simplify]: Extracting #1: cost 3 inf + 0 535.688 * * [simplify]: Extracting #2: cost 6 inf + 0 535.688 * * [simplify]: Extracting #3: cost 10 inf + 0 535.688 * * [simplify]: Extracting #4: cost 16 inf + 0 535.688 * * [simplify]: Extracting #5: cost 116 inf + 0 535.689 * * [simplify]: Extracting #6: cost 294 inf + 0 535.690 * * [simplify]: Extracting #7: cost 353 inf + 820 535.694 * * [simplify]: Extracting #8: cost 274 inf + 16010 535.705 * * [simplify]: Extracting #9: cost 132 inf + 65474 535.731 * * [simplify]: Extracting #10: cost 14 inf + 118748 535.753 * * [simplify]: Extracting #11: cost 3 inf + 124892 535.777 * * [simplify]: Extracting #12: cost 0 inf + 128407 535.800 * * [simplify]: Extracting #13: cost 0 inf + 128007 535.825 * * [simplify]: Extracting #14: cost 0 inf + 127927 535.848 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 535.849 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 535.849 * * * * [progress]: [ 1827 / 4754 ] simplifiying candidate # 535.850 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 535.850 * * [simplify]: iters left: 6 (48 enodes) 535.863 * * [simplify]: iters left: 5 (256 enodes) 535.929 * * [simplify]: Extracting #0: cost 1 inf + 0 535.929 * * [simplify]: Extracting #1: cost 3 inf + 0 535.929 * * [simplify]: Extracting #2: cost 6 inf + 0 535.929 * * [simplify]: Extracting #3: cost 10 inf + 0 535.929 * * [simplify]: Extracting #4: cost 16 inf + 0 535.929 * * [simplify]: Extracting #5: cost 118 inf + 0 535.930 * * [simplify]: Extracting #6: cost 314 inf + 0 535.931 * * [simplify]: Extracting #7: cost 366 inf + 2530 535.937 * * [simplify]: Extracting #8: cost 210 inf + 34939 535.953 * * [simplify]: Extracting #9: cost 61 inf + 93122 535.978 * * [simplify]: Extracting #10: cost 5 inf + 124607 536.002 * * [simplify]: Extracting #11: cost 1 inf + 128321 536.026 * * [simplify]: Extracting #12: cost 0 inf + 129986 536.051 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 536.051 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 536.052 * * * * [progress]: [ 1828 / 4754 ] simplifiying candidate # 536.052 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 536.053 * * [simplify]: iters left: 6 (48 enodes) 536.068 * * [simplify]: iters left: 5 (256 enodes) 536.129 * * [simplify]: Extracting #0: cost 1 inf + 0 536.129 * * [simplify]: Extracting #1: cost 3 inf + 0 536.129 * * [simplify]: Extracting #2: cost 6 inf + 0 536.129 * * [simplify]: Extracting #3: cost 10 inf + 0 536.129 * * [simplify]: Extracting #4: cost 16 inf + 0 536.130 * * [simplify]: Extracting #5: cost 120 inf + 0 536.130 * * [simplify]: Extracting #6: cost 314 inf + 0 536.132 * * [simplify]: Extracting #7: cost 368 inf + 2001 536.141 * * [simplify]: Extracting #8: cost 209 inf + 40134 536.159 * * [simplify]: Extracting #9: cost 34 inf + 107278 536.181 * * [simplify]: Extracting #10: cost 5 inf + 124418 536.204 * * [simplify]: Extracting #11: cost 0 inf + 128344 536.228 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) 536.229 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 536.229 * * * * [progress]: [ 1829 / 4754 ] simplifiying candidate # 536.230 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 536.230 * * [simplify]: iters left: 6 (48 enodes) 536.244 * * [simplify]: iters left: 5 (258 enodes) 536.310 * * [simplify]: Extracting #0: cost 1 inf + 0 536.310 * * [simplify]: Extracting #1: cost 3 inf + 0 536.310 * * [simplify]: Extracting #2: cost 6 inf + 0 536.310 * * [simplify]: Extracting #3: cost 10 inf + 0 536.310 * * [simplify]: Extracting #4: cost 16 inf + 0 536.310 * * [simplify]: Extracting #5: cost 120 inf + 0 536.311 * * [simplify]: Extracting #6: cost 310 inf + 0 536.313 * * [simplify]: Extracting #7: cost 353 inf + 2527 536.319 * * [simplify]: Extracting #8: cost 205 inf + 37355 536.335 * * [simplify]: Extracting #9: cost 36 inf + 99826 536.358 * * [simplify]: Extracting #10: cost 4 inf + 118360 536.384 * * [simplify]: Extracting #11: cost 0 inf + 119008 536.406 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ phi1 phi2)) (- phi1 phi2))))))) 536.406 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 536.407 * * * * [progress]: [ 1830 / 4754 ] simplifiying candidate # 536.408 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 536.408 * * [simplify]: iters left: 6 (47 enodes) 536.421 * * [simplify]: iters left: 5 (248 enodes) 536.484 * * [simplify]: Extracting #0: cost 1 inf + 0 536.484 * * [simplify]: Extracting #1: cost 3 inf + 0 536.484 * * [simplify]: Extracting #2: cost 6 inf + 0 536.484 * * [simplify]: Extracting #3: cost 10 inf + 0 536.484 * * [simplify]: Extracting #4: cost 20 inf + 0 536.485 * * [simplify]: Extracting #5: cost 138 inf + 0 536.485 * * [simplify]: Extracting #6: cost 303 inf + 1 536.487 * * [simplify]: Extracting #7: cost 341 inf + 2369 536.493 * * [simplify]: Extracting #8: cost 193 inf + 41576 536.511 * * [simplify]: Extracting #9: cost 37 inf + 100355 536.533 * * [simplify]: Extracting #10: cost 7 inf + 117644 536.560 * * [simplify]: Extracting #11: cost 0 inf + 123207 536.583 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 536.583 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 536.584 * * * * [progress]: [ 1831 / 4754 ] simplifiying candidate # 536.584 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 536.584 * * [simplify]: iters left: 6 (48 enodes) 536.598 * * [simplify]: iters left: 5 (254 enodes) 536.669 * * [simplify]: Extracting #0: cost 1 inf + 0 536.669 * * [simplify]: Extracting #1: cost 3 inf + 0 536.669 * * [simplify]: Extracting #2: cost 6 inf + 0 536.669 * * [simplify]: Extracting #3: cost 10 inf + 0 536.669 * * [simplify]: Extracting #4: cost 20 inf + 0 536.669 * * [simplify]: Extracting #5: cost 130 inf + 0 536.670 * * [simplify]: Extracting #6: cost 297 inf + 44 536.672 * * [simplify]: Extracting #7: cost 324 inf + 4318 536.678 * * [simplify]: Extracting #8: cost 173 inf + 40639 536.695 * * [simplify]: Extracting #9: cost 24 inf + 96887 536.719 * * [simplify]: Extracting #10: cost 6 inf + 108331 536.740 * * [simplify]: Extracting #11: cost 0 inf + 112520 536.761 * * [simplify]: Extracting #12: cost 0 inf + 112440 536.783 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 536.783 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2))) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 536.784 * * * * [progress]: [ 1832 / 4754 ] simplifiying candidate # 536.784 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 536.784 * * [simplify]: iters left: 6 (47 enodes) 536.799 * * [simplify]: iters left: 5 (248 enodes) 536.858 * * [simplify]: Extracting #0: cost 1 inf + 0 536.858 * * [simplify]: Extracting #1: cost 3 inf + 0 536.858 * * [simplify]: Extracting #2: cost 6 inf + 0 536.858 * * [simplify]: Extracting #3: cost 10 inf + 0 536.858 * * [simplify]: Extracting #4: cost 20 inf + 0 536.858 * * [simplify]: Extracting #5: cost 138 inf + 0 536.859 * * [simplify]: Extracting #6: cost 303 inf + 1 536.860 * * [simplify]: Extracting #7: cost 340 inf + 2492 536.870 * * [simplify]: Extracting #8: cost 187 inf + 42848 536.887 * * [simplify]: Extracting #9: cost 36 inf + 101559 536.909 * * [simplify]: Extracting #10: cost 7 inf + 118284 536.932 * * [simplify]: Extracting #11: cost 0 inf + 123847 536.955 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 536.955 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 536.956 * * * * [progress]: [ 1833 / 4754 ] simplifiying candidate # 536.956 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 536.956 * * [simplify]: iters left: 6 (48 enodes) 536.972 * * [simplify]: iters left: 5 (254 enodes) 537.035 * * [simplify]: Extracting #0: cost 1 inf + 0 537.035 * * [simplify]: Extracting #1: cost 3 inf + 0 537.035 * * [simplify]: Extracting #2: cost 6 inf + 0 537.036 * * [simplify]: Extracting #3: cost 10 inf + 0 537.036 * * [simplify]: Extracting #4: cost 20 inf + 0 537.036 * * [simplify]: Extracting #5: cost 129 inf + 0 537.037 * * [simplify]: Extracting #6: cost 297 inf + 44 537.038 * * [simplify]: Extracting #7: cost 335 inf + 2456 537.043 * * [simplify]: Extracting #8: cost 190 inf + 36718 537.061 * * [simplify]: Extracting #9: cost 25 inf + 96744 537.081 * * [simplify]: Extracting #10: cost 6 inf + 108571 537.102 * * [simplify]: Extracting #11: cost 0 inf + 112760 537.125 * * [simplify]: Extracting #12: cost 0 inf + 112680 537.146 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 537.146 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 537.147 * * * * [progress]: [ 1834 / 4754 ] simplifiying candidate # 537.147 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 537.148 * * [simplify]: iters left: 6 (45 enodes) 537.160 * * [simplify]: iters left: 5 (232 enodes) 537.217 * * [simplify]: Extracting #0: cost 1 inf + 0 537.217 * * [simplify]: Extracting #1: cost 3 inf + 0 537.217 * * [simplify]: Extracting #2: cost 6 inf + 0 537.217 * * [simplify]: Extracting #3: cost 10 inf + 0 537.217 * * [simplify]: Extracting #4: cost 16 inf + 0 537.218 * * [simplify]: Extracting #5: cost 107 inf + 0 537.218 * * [simplify]: Extracting #6: cost 265 inf + 0 537.219 * * [simplify]: Extracting #7: cost 314 inf + 1952 537.222 * * [simplify]: Extracting #8: cost 247 inf + 12258 537.229 * * [simplify]: Extracting #9: cost 159 inf + 37048 537.244 * * [simplify]: Extracting #10: cost 29 inf + 93524 537.264 * * [simplify]: Extracting #11: cost 2 inf + 111502 537.291 * * [simplify]: Extracting #12: cost 0 inf + 114432 537.312 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))))) 537.312 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 537.313 * * * * [progress]: [ 1835 / 4754 ] simplifiying candidate # 537.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 537.313 * * [simplify]: iters left: 6 (48 enodes) 537.327 * * [simplify]: iters left: 5 (255 enodes) 537.391 * * [simplify]: Extracting #0: cost 1 inf + 0 537.391 * * [simplify]: Extracting #1: cost 3 inf + 0 537.391 * * [simplify]: Extracting #2: cost 6 inf + 0 537.391 * * [simplify]: Extracting #3: cost 10 inf + 0 537.391 * * [simplify]: Extracting #4: cost 16 inf + 0 537.392 * * [simplify]: Extracting #5: cost 118 inf + 0 537.392 * * [simplify]: Extracting #6: cost 314 inf + 0 537.394 * * [simplify]: Extracting #7: cost 359 inf + 3055 537.401 * * [simplify]: Extracting #8: cost 189 inf + 44284 537.419 * * [simplify]: Extracting #9: cost 40 inf + 102712 537.444 * * [simplify]: Extracting #10: cost 8 inf + 119582 537.467 * * [simplify]: Extracting #11: cost 2 inf + 124533 537.490 * * [simplify]: Extracting #12: cost 0 inf + 127743 537.514 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 537.514 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 537.515 * * * * [progress]: [ 1836 / 4754 ] simplifiying candidate # 537.515 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 537.516 * * [simplify]: iters left: 6 (48 enodes) 537.530 * * [simplify]: iters left: 5 (255 enodes) 537.593 * * [simplify]: Extracting #0: cost 1 inf + 0 537.593 * * [simplify]: Extracting #1: cost 3 inf + 0 537.593 * * [simplify]: Extracting #2: cost 6 inf + 0 537.593 * * [simplify]: Extracting #3: cost 10 inf + 0 537.593 * * [simplify]: Extracting #4: cost 16 inf + 0 537.593 * * [simplify]: Extracting #5: cost 120 inf + 0 537.597 * * [simplify]: Extracting #6: cost 314 inf + 0 537.599 * * [simplify]: Extracting #7: cost 360 inf + 2612 537.604 * * [simplify]: Extracting #8: cost 234 inf + 24405 537.615 * * [simplify]: Extracting #9: cost 113 inf + 64899 537.633 * * [simplify]: Extracting #10: cost 27 inf + 106680 537.656 * * [simplify]: Extracting #11: cost 2 inf + 123293 537.679 * * [simplify]: Extracting #12: cost 0 inf + 126583 537.704 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 537.704 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 537.704 * * * * [progress]: [ 1837 / 4754 ] simplifiying candidate # 537.705 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 537.705 * * [simplify]: iters left: 6 (48 enodes) 537.719 * * [simplify]: iters left: 5 (253 enodes) 537.781 * * [simplify]: Extracting #0: cost 1 inf + 0 537.781 * * [simplify]: Extracting #1: cost 3 inf + 0 537.781 * * [simplify]: Extracting #2: cost 6 inf + 0 537.781 * * [simplify]: Extracting #3: cost 10 inf + 0 537.781 * * [simplify]: Extracting #4: cost 16 inf + 0 537.781 * * [simplify]: Extracting #5: cost 114 inf + 0 537.782 * * [simplify]: Extracting #6: cost 294 inf + 0 537.783 * * [simplify]: Extracting #7: cost 333 inf + 2165 537.788 * * [simplify]: Extracting #8: cost 203 inf + 27756 537.798 * * [simplify]: Extracting #9: cost 104 inf + 61510 537.817 * * [simplify]: Extracting #10: cost 16 inf + 101071 537.840 * * [simplify]: Extracting #11: cost 3 inf + 108264 537.860 * * [simplify]: Extracting #12: cost 1 inf + 111554 537.881 * * [simplify]: Extracting #13: cost 0 inf + 113219 537.903 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 537.903 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 537.904 * * * * [progress]: [ 1838 / 4754 ] simplifiying candidate # 537.904 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 537.905 * * [simplify]: iters left: 6 (47 enodes) 537.918 * * [simplify]: iters left: 5 (246 enodes) 537.981 * * [simplify]: Extracting #0: cost 1 inf + 0 537.981 * * [simplify]: Extracting #1: cost 3 inf + 0 537.982 * * [simplify]: Extracting #2: cost 6 inf + 0 537.982 * * [simplify]: Extracting #3: cost 10 inf + 0 537.982 * * [simplify]: Extracting #4: cost 20 inf + 0 537.982 * * [simplify]: Extracting #5: cost 135 inf + 0 537.983 * * [simplify]: Extracting #6: cost 291 inf + 1 537.984 * * [simplify]: Extracting #7: cost 332 inf + 1678 537.987 * * [simplify]: Extracting #8: cost 241 inf + 15788 537.999 * * [simplify]: Extracting #9: cost 129 inf + 51031 538.017 * * [simplify]: Extracting #10: cost 16 inf + 104679 538.038 * * [simplify]: Extracting #11: cost 3 inf + 112375 538.059 * * [simplify]: Extracting #12: cost 0 inf + 117210 538.081 * * [simplify]: Extracting #13: cost 0 inf + 117090 538.104 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 538.104 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 538.105 * * * * [progress]: [ 1839 / 4754 ] simplifiying candidate # 538.105 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 538.105 * * [simplify]: iters left: 6 (48 enodes) 538.119 * * [simplify]: iters left: 5 (253 enodes) 538.181 * * [simplify]: Extracting #0: cost 1 inf + 0 538.181 * * [simplify]: Extracting #1: cost 3 inf + 0 538.181 * * [simplify]: Extracting #2: cost 6 inf + 0 538.181 * * [simplify]: Extracting #3: cost 10 inf + 0 538.181 * * [simplify]: Extracting #4: cost 20 inf + 0 538.181 * * [simplify]: Extracting #5: cost 130 inf + 0 538.182 * * [simplify]: Extracting #6: cost 299 inf + 44 538.184 * * [simplify]: Extracting #7: cost 324 inf + 3956 538.191 * * [simplify]: Extracting #8: cost 147 inf + 50441 538.209 * * [simplify]: Extracting #9: cost 31 inf + 96734 538.228 * * [simplify]: Extracting #10: cost 8 inf + 105779 538.254 * * [simplify]: Extracting #11: cost 1 inf + 110049 538.275 * * [simplify]: Extracting #12: cost 0 inf + 111674 538.295 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))))) 538.295 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 538.296 * * * * [progress]: [ 1840 / 4754 ] simplifiying candidate # 538.296 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 538.297 * * [simplify]: iters left: 6 (47 enodes) 538.310 * * [simplify]: iters left: 5 (246 enodes) 538.371 * * [simplify]: Extracting #0: cost 1 inf + 0 538.371 * * [simplify]: Extracting #1: cost 3 inf + 0 538.371 * * [simplify]: Extracting #2: cost 6 inf + 0 538.371 * * [simplify]: Extracting #3: cost 10 inf + 0 538.371 * * [simplify]: Extracting #4: cost 20 inf + 0 538.371 * * [simplify]: Extracting #5: cost 135 inf + 0 538.372 * * [simplify]: Extracting #6: cost 291 inf + 1 538.373 * * [simplify]: Extracting #7: cost 332 inf + 1678 538.376 * * [simplify]: Extracting #8: cost 240 inf + 16273 538.385 * * [simplify]: Extracting #9: cost 126 inf + 52764 538.407 * * [simplify]: Extracting #10: cost 16 inf + 105479 538.428 * * [simplify]: Extracting #11: cost 3 inf + 113135 538.449 * * [simplify]: Extracting #12: cost 0 inf + 117850 538.471 * * [simplify]: Extracting #13: cost 0 inf + 117730 538.494 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (- phi1 phi2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 538.494 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (- phi1 phi2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 538.495 * * * * [progress]: [ 1841 / 4754 ] simplifiying candidate # 538.495 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 538.496 * * [simplify]: iters left: 6 (48 enodes) 538.509 * * [simplify]: iters left: 5 (253 enodes) 538.576 * * [simplify]: Extracting #0: cost 1 inf + 0 538.576 * * [simplify]: Extracting #1: cost 3 inf + 0 538.576 * * [simplify]: Extracting #2: cost 6 inf + 0 538.576 * * [simplify]: Extracting #3: cost 10 inf + 0 538.576 * * [simplify]: Extracting #4: cost 20 inf + 0 538.577 * * [simplify]: Extracting #5: cost 129 inf + 0 538.577 * * [simplify]: Extracting #6: cost 299 inf + 44 538.579 * * [simplify]: Extracting #7: cost 330 inf + 3021 538.585 * * [simplify]: Extracting #8: cost 167 inf + 42358 538.602 * * [simplify]: Extracting #9: cost 40 inf + 92229 538.621 * * [simplify]: Extracting #10: cost 8 inf + 105779 538.642 * * [simplify]: Extracting #11: cost 1 inf + 110049 538.665 * * [simplify]: Extracting #12: cost 0 inf + 111674 538.686 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) 538.686 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 538.687 * * * * [progress]: [ 1842 / 4754 ] simplifiying candidate # 538.687 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 538.687 * * [simplify]: iters left: 6 (45 enodes) 538.700 * * [simplify]: iters left: 5 (235 enodes) 538.760 * * [simplify]: Extracting #0: cost 1 inf + 0 538.760 * * [simplify]: Extracting #1: cost 3 inf + 0 538.760 * * [simplify]: Extracting #2: cost 6 inf + 0 538.760 * * [simplify]: Extracting #3: cost 10 inf + 0 538.760 * * [simplify]: Extracting #4: cost 16 inf + 0 538.760 * * [simplify]: Extracting #5: cost 106 inf + 0 538.761 * * [simplify]: Extracting #6: cost 266 inf + 0 538.762 * * [simplify]: Extracting #7: cost 313 inf + 1626 538.765 * * [simplify]: Extracting #8: cost 241 inf + 15170 538.775 * * [simplify]: Extracting #9: cost 119 inf + 60894 538.795 * * [simplify]: Extracting #10: cost 15 inf + 108548 538.820 * * [simplify]: Extracting #11: cost 0 inf + 119355 538.843 * * [simplify]: Extracting #12: cost 0 inf + 117595 538.865 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 538.865 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 538.865 * * * * [progress]: [ 1843 / 4754 ] simplifiying candidate # 538.866 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 538.866 * * [simplify]: iters left: 6 (48 enodes) 538.880 * * [simplify]: iters left: 5 (256 enodes) 538.947 * * [simplify]: Extracting #0: cost 1 inf + 0 538.947 * * [simplify]: Extracting #1: cost 3 inf + 0 538.947 * * [simplify]: Extracting #2: cost 6 inf + 0 538.947 * * [simplify]: Extracting #3: cost 10 inf + 0 538.947 * * [simplify]: Extracting #4: cost 16 inf + 0 538.947 * * [simplify]: Extracting #5: cost 118 inf + 0 538.948 * * [simplify]: Extracting #6: cost 309 inf + 0 538.950 * * [simplify]: Extracting #7: cost 343 inf + 4025 538.957 * * [simplify]: Extracting #8: cost 175 inf + 47591 538.980 * * [simplify]: Extracting #9: cost 28 inf + 110821 539.003 * * [simplify]: Extracting #10: cost 7 inf + 122473 539.027 * * [simplify]: Extracting #11: cost 0 inf + 128276 539.050 * * [simplify]: Extracting #12: cost 0 inf + 127916 539.075 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 539.075 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 539.076 * * * * [progress]: [ 1844 / 4754 ] simplifiying candidate # 539.076 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 539.076 * * [simplify]: iters left: 6 (48 enodes) 539.090 * * [simplify]: iters left: 5 (256 enodes) 539.155 * * [simplify]: Extracting #0: cost 1 inf + 0 539.155 * * [simplify]: Extracting #1: cost 3 inf + 0 539.155 * * [simplify]: Extracting #2: cost 6 inf + 0 539.155 * * [simplify]: Extracting #3: cost 10 inf + 0 539.155 * * [simplify]: Extracting #4: cost 16 inf + 0 539.156 * * [simplify]: Extracting #5: cost 120 inf + 0 539.156 * * [simplify]: Extracting #6: cost 310 inf + 0 539.158 * * [simplify]: Extracting #7: cost 352 inf + 2245 539.165 * * [simplify]: Extracting #8: cost 186 inf + 43898 539.183 * * [simplify]: Extracting #9: cost 29 inf + 107390 539.206 * * [simplify]: Extracting #10: cost 6 inf + 120889 539.233 * * [simplify]: Extracting #11: cost 0 inf + 126360 539.257 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 539.257 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 539.258 * * * * [progress]: [ 1845 / 4754 ] simplifiying candidate # 539.258 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 539.259 * * [simplify]: iters left: 6 (48 enodes) 539.272 * * [simplify]: iters left: 5 (254 enodes) 539.336 * * [simplify]: Extracting #0: cost 1 inf + 0 539.336 * * [simplify]: Extracting #1: cost 3 inf + 0 539.336 * * [simplify]: Extracting #2: cost 6 inf + 0 539.336 * * [simplify]: Extracting #3: cost 10 inf + 0 539.336 * * [simplify]: Extracting #4: cost 16 inf + 0 539.336 * * [simplify]: Extracting #5: cost 114 inf + 0 539.337 * * [simplify]: Extracting #6: cost 290 inf + 0 539.338 * * [simplify]: Extracting #7: cost 318 inf + 3216 539.342 * * [simplify]: Extracting #8: cost 217 inf + 21171 539.351 * * [simplify]: Extracting #9: cost 135 inf + 48524 539.366 * * [simplify]: Extracting #10: cost 39 inf + 86948 539.391 * * [simplify]: Extracting #11: cost 1 inf + 111392 539.412 * * [simplify]: Extracting #12: cost 0 inf + 113017 539.476 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) 539.476 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 539.477 * * * * [progress]: [ 1846 / 4754 ] simplifiying candidate # 539.477 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 539.477 * * [simplify]: iters left: 6 (47 enodes) 539.490 * * [simplify]: iters left: 5 (248 enodes) 539.554 * * [simplify]: Extracting #0: cost 1 inf + 0 539.554 * * [simplify]: Extracting #1: cost 3 inf + 0 539.554 * * [simplify]: Extracting #2: cost 6 inf + 0 539.554 * * [simplify]: Extracting #3: cost 10 inf + 0 539.554 * * [simplify]: Extracting #4: cost 20 inf + 0 539.554 * * [simplify]: Extracting #5: cost 134 inf + 0 539.555 * * [simplify]: Extracting #6: cost 292 inf + 1 539.556 * * [simplify]: Extracting #7: cost 321 inf + 2490 539.560 * * [simplify]: Extracting #8: cost 239 inf + 15595 539.568 * * [simplify]: Extracting #9: cost 145 inf + 46655 539.587 * * [simplify]: Extracting #10: cost 30 inf + 99694 539.610 * * [simplify]: Extracting #11: cost 0 inf + 119531 539.632 * * [simplify]: Extracting #12: cost 0 inf + 119331 539.655 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 539.655 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 539.655 * * * * [progress]: [ 1847 / 4754 ] simplifiying candidate # 539.656 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 539.656 * * [simplify]: iters left: 6 (48 enodes) 539.671 * * [simplify]: iters left: 5 (254 enodes) 539.732 * * [simplify]: Extracting #0: cost 1 inf + 0 539.732 * * [simplify]: Extracting #1: cost 3 inf + 0 539.732 * * [simplify]: Extracting #2: cost 6 inf + 0 539.732 * * [simplify]: Extracting #3: cost 10 inf + 0 539.732 * * [simplify]: Extracting #4: cost 20 inf + 0 539.732 * * [simplify]: Extracting #5: cost 130 inf + 0 539.733 * * [simplify]: Extracting #6: cost 293 inf + 44 539.734 * * [simplify]: Extracting #7: cost 311 inf + 4560 539.742 * * [simplify]: Extracting #8: cost 190 inf + 28821 539.751 * * [simplify]: Extracting #9: cost 125 inf + 51001 539.766 * * [simplify]: Extracting #10: cost 32 inf + 88568 539.786 * * [simplify]: Extracting #11: cost 5 inf + 103217 539.806 * * [simplify]: Extracting #12: cost 2 inf + 107252 539.828 * * [simplify]: Extracting #13: cost 0 inf + 110462 539.849 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 539.849 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 539.849 * * * * [progress]: [ 1848 / 4754 ] simplifiying candidate # 539.850 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 539.850 * * [simplify]: iters left: 6 (47 enodes) 539.863 * * [simplify]: iters left: 5 (248 enodes) 539.927 * * [simplify]: Extracting #0: cost 1 inf + 0 539.927 * * [simplify]: Extracting #1: cost 3 inf + 0 539.927 * * [simplify]: Extracting #2: cost 6 inf + 0 539.927 * * [simplify]: Extracting #3: cost 10 inf + 0 539.927 * * [simplify]: Extracting #4: cost 20 inf + 0 539.927 * * [simplify]: Extracting #5: cost 134 inf + 0 539.928 * * [simplify]: Extracting #6: cost 291 inf + 1 539.929 * * [simplify]: Extracting #7: cost 320 inf + 2490 539.933 * * [simplify]: Extracting #8: cost 236 inf + 17726 539.941 * * [simplify]: Extracting #9: cost 141 inf + 49178 539.958 * * [simplify]: Extracting #10: cost 21 inf + 102059 539.983 * * [simplify]: Extracting #11: cost 3 inf + 115252 540.005 * * [simplify]: Extracting #12: cost 0 inf + 120047 540.027 * * [simplify]: Extracting #13: cost 0 inf + 119927 540.050 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 540.050 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 540.051 * * * * [progress]: [ 1849 / 4754 ] simplifiying candidate # 540.051 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 540.051 * * [simplify]: iters left: 6 (48 enodes) 540.065 * * [simplify]: iters left: 5 (254 enodes) 540.127 * * [simplify]: Extracting #0: cost 1 inf + 0 540.127 * * [simplify]: Extracting #1: cost 3 inf + 0 540.127 * * [simplify]: Extracting #2: cost 6 inf + 0 540.127 * * [simplify]: Extracting #3: cost 10 inf + 0 540.128 * * [simplify]: Extracting #4: cost 20 inf + 0 540.128 * * [simplify]: Extracting #5: cost 129 inf + 0 540.129 * * [simplify]: Extracting #6: cost 293 inf + 44 540.130 * * [simplify]: Extracting #7: cost 315 inf + 3914 540.135 * * [simplify]: Extracting #8: cost 188 inf + 29623 540.147 * * [simplify]: Extracting #9: cost 123 inf + 51970 540.164 * * [simplify]: Extracting #10: cost 27 inf + 90973 540.184 * * [simplify]: Extracting #11: cost 5 inf + 103537 540.204 * * [simplify]: Extracting #12: cost 2 inf + 107652 540.224 * * [simplify]: Extracting #13: cost 0 inf + 110942 540.247 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 540.247 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 540.247 * * * * [progress]: [ 1850 / 4754 ] simplifiying candidate # 540.248 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 540.248 * * [simplify]: iters left: 6 (32 enodes) 540.257 * * [simplify]: iters left: 5 (156 enodes) 540.293 * * [simplify]: iters left: 4 (497 enodes) 540.593 * * [simplify]: Extracting #0: cost 1 inf + 0 540.593 * * [simplify]: Extracting #1: cost 4 inf + 0 540.593 * * [simplify]: Extracting #2: cost 7 inf + 0 540.593 * * [simplify]: Extracting #3: cost 28 inf + 0 540.594 * * [simplify]: Extracting #4: cost 327 inf + 0 540.597 * * [simplify]: Extracting #5: cost 933 inf + 577 540.604 * * [simplify]: Extracting #6: cost 897 inf + 25573 540.629 * * [simplify]: Extracting #7: cost 588 inf + 110773 540.667 * * [simplify]: Extracting #8: cost 327 inf + 210874 540.740 * * [simplify]: Extracting #9: cost 20 inf + 355346 540.821 * * [simplify]: Extracting #10: cost 0 inf + 365326 540.901 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))) 540.902 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 540.902 * * * * [progress]: [ 1851 / 4754 ] simplifiying candidate # 540.902 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 540.903 * * [simplify]: iters left: 6 (39 enodes) 540.913 * * [simplify]: iters left: 5 (198 enodes) 540.960 * * [simplify]: Extracting #0: cost 1 inf + 0 540.960 * * [simplify]: Extracting #1: cost 3 inf + 0 540.960 * * [simplify]: Extracting #2: cost 6 inf + 0 540.960 * * [simplify]: Extracting #3: cost 10 inf + 0 540.960 * * [simplify]: Extracting #4: cost 16 inf + 0 540.961 * * [simplify]: Extracting #5: cost 108 inf + 0 540.961 * * [simplify]: Extracting #6: cost 251 inf + 0 540.962 * * [simplify]: Extracting #7: cost 276 inf + 2491 540.967 * * [simplify]: Extracting #8: cost 209 inf + 11746 540.975 * * [simplify]: Extracting #9: cost 100 inf + 46751 540.990 * * [simplify]: Extracting #10: cost 14 inf + 84812 541.008 * * [simplify]: Extracting #11: cost 2 inf + 92789 541.027 * * [simplify]: Extracting #12: cost 0 inf + 95559 541.045 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 541.045 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.046 * * * * [progress]: [ 1852 / 4754 ] simplifiying candidate # 541.046 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 541.046 * * [simplify]: iters left: 6 (39 enodes) 541.058 * * [simplify]: iters left: 5 (200 enodes) 541.106 * * [simplify]: Extracting #0: cost 1 inf + 0 541.106 * * [simplify]: Extracting #1: cost 3 inf + 0 541.106 * * [simplify]: Extracting #2: cost 6 inf + 0 541.106 * * [simplify]: Extracting #3: cost 10 inf + 0 541.106 * * [simplify]: Extracting #4: cost 16 inf + 0 541.107 * * [simplify]: Extracting #5: cost 108 inf + 0 541.107 * * [simplify]: Extracting #6: cost 264 inf + 0 541.108 * * [simplify]: Extracting #7: cost 289 inf + 2529 541.111 * * [simplify]: Extracting #8: cost 215 inf + 13613 541.119 * * [simplify]: Extracting #9: cost 101 inf + 50156 541.138 * * [simplify]: Extracting #10: cost 12 inf + 89124 541.156 * * [simplify]: Extracting #11: cost 2 inf + 95784 541.174 * * [simplify]: Extracting #12: cost 0 inf + 98474 541.192 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 541.193 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.193 * * * * [progress]: [ 1853 / 4754 ] simplifiying candidate # 541.194 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 541.194 * * [simplify]: iters left: 6 (39 enodes) 541.205 * * [simplify]: iters left: 5 (202 enodes) 541.256 * * [simplify]: Extracting #0: cost 1 inf + 0 541.256 * * [simplify]: Extracting #1: cost 3 inf + 0 541.256 * * [simplify]: Extracting #2: cost 6 inf + 0 541.256 * * [simplify]: Extracting #3: cost 10 inf + 0 541.256 * * [simplify]: Extracting #4: cost 16 inf + 0 541.256 * * [simplify]: Extracting #5: cost 112 inf + 0 541.257 * * [simplify]: Extracting #6: cost 262 inf + 0 541.258 * * [simplify]: Extracting #7: cost 278 inf + 3013 541.261 * * [simplify]: Extracting #8: cost 186 inf + 17830 541.269 * * [simplify]: Extracting #9: cost 99 inf + 46894 541.286 * * [simplify]: Extracting #10: cost 15 inf + 80911 541.303 * * [simplify]: Extracting #11: cost 2 inf + 88835 541.322 * * [simplify]: Extracting #12: cost 1 inf + 90180 541.339 * * [simplify]: Extracting #13: cost 0 inf + 91525 541.357 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))))) 541.357 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.357 * * * * [progress]: [ 1854 / 4754 ] simplifiying candidate # 541.358 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 541.358 * * [simplify]: iters left: 6 (38 enodes) 541.368 * * [simplify]: iters left: 5 (190 enodes) 541.414 * * [simplify]: Extracting #0: cost 1 inf + 0 541.414 * * [simplify]: Extracting #1: cost 3 inf + 0 541.414 * * [simplify]: Extracting #2: cost 6 inf + 0 541.414 * * [simplify]: Extracting #3: cost 10 inf + 0 541.414 * * [simplify]: Extracting #4: cost 20 inf + 0 541.414 * * [simplify]: Extracting #5: cost 125 inf + 0 541.415 * * [simplify]: Extracting #6: cost 233 inf + 1 541.416 * * [simplify]: Extracting #7: cost 251 inf + 2119 541.418 * * [simplify]: Extracting #8: cost 180 inf + 12481 541.425 * * [simplify]: Extracting #9: cost 91 inf + 41668 541.437 * * [simplify]: Extracting #10: cost 14 inf + 74803 541.456 * * [simplify]: Extracting #11: cost 1 inf + 84273 541.472 * * [simplify]: Extracting #12: cost 0 inf + 85578 541.488 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 541.488 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.489 * * * * [progress]: [ 1855 / 4754 ] simplifiying candidate # 541.489 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 541.489 * * [simplify]: iters left: 6 (39 enodes) 541.500 * * [simplify]: iters left: 5 (198 enodes) 541.549 * * [simplify]: Extracting #0: cost 1 inf + 0 541.549 * * [simplify]: Extracting #1: cost 3 inf + 0 541.549 * * [simplify]: Extracting #2: cost 6 inf + 0 541.549 * * [simplify]: Extracting #3: cost 10 inf + 0 541.549 * * [simplify]: Extracting #4: cost 20 inf + 0 541.549 * * [simplify]: Extracting #5: cost 122 inf + 0 541.550 * * [simplify]: Extracting #6: cost 253 inf + 44 541.551 * * [simplify]: Extracting #7: cost 257 inf + 4160 541.554 * * [simplify]: Extracting #8: cost 193 inf + 13384 541.561 * * [simplify]: Extracting #9: cost 89 inf + 44795 541.574 * * [simplify]: Extracting #10: cost 11 inf + 77928 541.590 * * [simplify]: Extracting #11: cost 3 inf + 83302 541.609 * * [simplify]: Extracting #12: cost 0 inf + 86977 541.626 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.626 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.627 * * * * [progress]: [ 1856 / 4754 ] simplifiying candidate # 541.627 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 541.628 * * [simplify]: iters left: 6 (38 enodes) 541.639 * * [simplify]: iters left: 5 (189 enodes) 541.684 * * [simplify]: Extracting #0: cost 1 inf + 0 541.684 * * [simplify]: Extracting #1: cost 3 inf + 0 541.684 * * [simplify]: Extracting #2: cost 6 inf + 0 541.684 * * [simplify]: Extracting #3: cost 10 inf + 0 541.684 * * [simplify]: Extracting #4: cost 20 inf + 0 541.684 * * [simplify]: Extracting #5: cost 126 inf + 0 541.687 * * [simplify]: Extracting #6: cost 229 inf + 1 541.688 * * [simplify]: Extracting #7: cost 247 inf + 1758 541.691 * * [simplify]: Extracting #8: cost 161 inf + 18438 541.701 * * [simplify]: Extracting #9: cost 45 inf + 60674 541.716 * * [simplify]: Extracting #10: cost 8 inf + 77179 541.731 * * [simplify]: Extracting #11: cost 2 inf + 82836 541.747 * * [simplify]: Extracting #12: cost 0 inf + 85486 541.764 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) 541.764 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.764 * * * * [progress]: [ 1857 / 4754 ] simplifiying candidate # 541.765 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 541.765 * * [simplify]: iters left: 6 (39 enodes) 541.777 * * [simplify]: iters left: 5 (198 enodes) 541.823 * * [simplify]: Extracting #0: cost 1 inf + 0 541.823 * * [simplify]: Extracting #1: cost 3 inf + 0 541.823 * * [simplify]: Extracting #2: cost 6 inf + 0 541.823 * * [simplify]: Extracting #3: cost 10 inf + 0 541.823 * * [simplify]: Extracting #4: cost 20 inf + 0 541.823 * * [simplify]: Extracting #5: cost 121 inf + 0 541.824 * * [simplify]: Extracting #6: cost 253 inf + 44 541.825 * * [simplify]: Extracting #7: cost 263 inf + 3389 541.827 * * [simplify]: Extracting #8: cost 193 inf + 13868 541.834 * * [simplify]: Extracting #9: cost 89 inf + 44875 541.851 * * [simplify]: Extracting #10: cost 12 inf + 77783 541.867 * * [simplify]: Extracting #11: cost 3 inf + 83542 541.883 * * [simplify]: Extracting #12: cost 0 inf + 87217 541.899 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.899 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 541.900 * * * * [progress]: [ 1858 / 4754 ] simplifiying candidate # 541.900 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 541.901 * * [simplify]: iters left: 6 (46 enodes) 541.913 * * [simplify]: iters left: 5 (231 enodes) 541.973 * * [simplify]: Extracting #0: cost 1 inf + 0 541.973 * * [simplify]: Extracting #1: cost 3 inf + 0 541.973 * * [simplify]: Extracting #2: cost 6 inf + 0 541.973 * * [simplify]: Extracting #3: cost 10 inf + 0 541.973 * * [simplify]: Extracting #4: cost 16 inf + 0 541.973 * * [simplify]: Extracting #5: cost 111 inf + 0 541.974 * * [simplify]: Extracting #6: cost 267 inf + 0 541.975 * * [simplify]: Extracting #7: cost 302 inf + 1506 541.977 * * [simplify]: Extracting #8: cost 274 inf + 5049 541.982 * * [simplify]: Extracting #9: cost 172 inf + 32256 541.997 * * [simplify]: Extracting #10: cost 36 inf + 91500 542.020 * * [simplify]: Extracting #11: cost 8 inf + 106615 542.040 * * [simplify]: Extracting #12: cost 2 inf + 113125 542.061 * * [simplify]: Extracting #13: cost 0 inf + 116175 542.082 * * [simplify]: Extracting #14: cost 0 inf + 115935 542.103 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 542.103 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 542.104 * * * * [progress]: [ 1859 / 4754 ] simplifiying candidate # 542.104 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 542.105 * * [simplify]: iters left: 6 (49 enodes) 542.119 * * [simplify]: iters left: 5 (252 enodes) 542.182 * * [simplify]: Extracting #0: cost 1 inf + 0 542.182 * * [simplify]: Extracting #1: cost 3 inf + 0 542.182 * * [simplify]: Extracting #2: cost 6 inf + 0 542.182 * * [simplify]: Extracting #3: cost 10 inf + 0 542.182 * * [simplify]: Extracting #4: cost 16 inf + 0 542.182 * * [simplify]: Extracting #5: cost 120 inf + 0 542.183 * * [simplify]: Extracting #6: cost 306 inf + 0 542.184 * * [simplify]: Extracting #7: cost 335 inf + 3095 542.189 * * [simplify]: Extracting #8: cost 203 inf + 33646 542.204 * * [simplify]: Extracting #9: cost 61 inf + 89209 542.225 * * [simplify]: Extracting #10: cost 6 inf + 121900 542.248 * * [simplify]: Extracting #11: cost 0 inf + 126118 542.274 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 542.274 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 542.275 * * * * [progress]: [ 1860 / 4754 ] simplifiying candidate # 542.275 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 542.276 * * [simplify]: iters left: 6 (49 enodes) 542.290 * * [simplify]: iters left: 5 (252 enodes) 542.353 * * [simplify]: Extracting #0: cost 1 inf + 0 542.353 * * [simplify]: Extracting #1: cost 3 inf + 0 542.353 * * [simplify]: Extracting #2: cost 6 inf + 0 542.353 * * [simplify]: Extracting #3: cost 10 inf + 0 542.353 * * [simplify]: Extracting #4: cost 16 inf + 0 542.353 * * [simplify]: Extracting #5: cost 122 inf + 0 542.354 * * [simplify]: Extracting #6: cost 305 inf + 0 542.355 * * [simplify]: Extracting #7: cost 334 inf + 2689 542.359 * * [simplify]: Extracting #8: cost 245 inf + 18210 542.369 * * [simplify]: Extracting #9: cost 118 inf + 63685 542.390 * * [simplify]: Extracting #10: cost 9 inf + 113854 542.414 * * [simplify]: Extracting #11: cost 2 inf + 120283 542.437 * * [simplify]: Extracting #12: cost 0 inf + 123653 542.459 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 542.459 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 542.459 * * * * [progress]: [ 1861 / 4754 ] simplifiying candidate # 542.460 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 542.460 * * [simplify]: iters left: 6 (49 enodes) 542.474 * * [simplify]: iters left: 5 (250 enodes) 542.537 * * [simplify]: Extracting #0: cost 1 inf + 0 542.537 * * [simplify]: Extracting #1: cost 3 inf + 0 542.537 * * [simplify]: Extracting #2: cost 6 inf + 0 542.537 * * [simplify]: Extracting #3: cost 10 inf + 0 542.537 * * [simplify]: Extracting #4: cost 16 inf + 0 542.537 * * [simplify]: Extracting #5: cost 116 inf + 0 542.538 * * [simplify]: Extracting #6: cost 286 inf + 0 542.539 * * [simplify]: Extracting #7: cost 309 inf + 2126 542.542 * * [simplify]: Extracting #8: cost 243 inf + 12353 542.548 * * [simplify]: Extracting #9: cost 146 inf + 40485 542.563 * * [simplify]: Extracting #10: cost 38 inf + 84962 542.585 * * [simplify]: Extracting #11: cost 4 inf + 106054 542.606 * * [simplify]: Extracting #12: cost 0 inf + 109434 542.628 * * [simplify]: Extracting #13: cost 0 inf + 109394 542.648 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 542.648 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 542.649 * * * * [progress]: [ 1862 / 4754 ] simplifiying candidate # 542.649 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 542.649 * * [simplify]: iters left: 6 (48 enodes) 542.664 * * [simplify]: iters left: 5 (244 enodes) 542.719 * * [simplify]: Extracting #0: cost 1 inf + 0 542.719 * * [simplify]: Extracting #1: cost 3 inf + 0 542.719 * * [simplify]: Extracting #2: cost 6 inf + 0 542.719 * * [simplify]: Extracting #3: cost 10 inf + 0 542.719 * * [simplify]: Extracting #4: cost 20 inf + 0 542.719 * * [simplify]: Extracting #5: cost 138 inf + 0 542.720 * * [simplify]: Extracting #6: cost 293 inf + 1 542.722 * * [simplify]: Extracting #7: cost 309 inf + 3177 542.725 * * [simplify]: Extracting #8: cost 245 inf + 14612 542.737 * * [simplify]: Extracting #9: cost 149 inf + 45207 542.753 * * [simplify]: Extracting #10: cost 25 inf + 99041 542.773 * * [simplify]: Extracting #11: cost 2 inf + 114244 542.794 * * [simplify]: Extracting #12: cost 0 inf + 117374 542.815 * * [simplify]: Extracting #13: cost 0 inf + 117294 542.837 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 542.837 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 542.838 * * * * [progress]: [ 1863 / 4754 ] simplifiying candidate # 542.838 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 542.838 * * [simplify]: iters left: 6 (49 enodes) 542.853 * * [simplify]: iters left: 5 (250 enodes) 542.913 * * [simplify]: Extracting #0: cost 1 inf + 0 542.913 * * [simplify]: Extracting #1: cost 3 inf + 0 542.913 * * [simplify]: Extracting #2: cost 6 inf + 0 542.913 * * [simplify]: Extracting #3: cost 10 inf + 0 542.913 * * [simplify]: Extracting #4: cost 20 inf + 0 542.913 * * [simplify]: Extracting #5: cost 132 inf + 0 542.914 * * [simplify]: Extracting #6: cost 288 inf + 44 542.916 * * [simplify]: Extracting #7: cost 292 inf + 5566 542.920 * * [simplify]: Extracting #8: cost 216 inf + 19110 542.927 * * [simplify]: Extracting #9: cost 142 inf + 41006 542.942 * * [simplify]: Extracting #10: cost 33 inf + 83200 542.962 * * [simplify]: Extracting #11: cost 1 inf + 105690 542.984 * * [simplify]: Extracting #12: cost 0 inf + 105995 543.004 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)))))) 543.004 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.004 * * * * [progress]: [ 1864 / 4754 ] simplifiying candidate # 543.005 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 543.005 * * [simplify]: iters left: 6 (48 enodes) 543.018 * * [simplify]: iters left: 5 (244 enodes) 543.077 * * [simplify]: Extracting #0: cost 1 inf + 0 543.077 * * [simplify]: Extracting #1: cost 3 inf + 0 543.077 * * [simplify]: Extracting #2: cost 6 inf + 0 543.077 * * [simplify]: Extracting #3: cost 10 inf + 0 543.077 * * [simplify]: Extracting #4: cost 20 inf + 0 543.078 * * [simplify]: Extracting #5: cost 138 inf + 0 543.078 * * [simplify]: Extracting #6: cost 293 inf + 1 543.080 * * [simplify]: Extracting #7: cost 310 inf + 2934 543.083 * * [simplify]: Extracting #8: cost 247 inf + 14445 543.090 * * [simplify]: Extracting #9: cost 149 inf + 45932 543.107 * * [simplify]: Extracting #10: cost 24 inf + 99933 543.127 * * [simplify]: Extracting #11: cost 2 inf + 114884 543.152 * * [simplify]: Extracting #12: cost 0 inf + 118014 543.174 * * [simplify]: Extracting #13: cost 0 inf + 117934 543.195 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 543.195 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.196 * * * * [progress]: [ 1865 / 4754 ] simplifiying candidate # 543.196 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 543.196 * * [simplify]: iters left: 6 (49 enodes) 543.210 * * [simplify]: iters left: 5 (250 enodes) 543.273 * * [simplify]: Extracting #0: cost 1 inf + 0 543.273 * * [simplify]: Extracting #1: cost 3 inf + 0 543.273 * * [simplify]: Extracting #2: cost 6 inf + 0 543.273 * * [simplify]: Extracting #3: cost 10 inf + 0 543.273 * * [simplify]: Extracting #4: cost 20 inf + 0 543.273 * * [simplify]: Extracting #5: cost 131 inf + 0 543.274 * * [simplify]: Extracting #6: cost 287 inf + 86 543.276 * * [simplify]: Extracting #7: cost 291 inf + 5367 543.279 * * [simplify]: Extracting #8: cost 212 inf + 19641 543.287 * * [simplify]: Extracting #9: cost 136 inf + 43775 543.304 * * [simplify]: Extracting #10: cost 33 inf + 84173 543.323 * * [simplify]: Extracting #11: cost 1 inf + 106250 543.343 * * [simplify]: Extracting #12: cost 0 inf + 106555 543.362 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)))))) 543.362 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.363 * * * * [progress]: [ 1866 / 4754 ] simplifiying candidate # 543.363 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 543.363 * * [simplify]: iters left: 6 (39 enodes) 543.374 * * [simplify]: iters left: 5 (189 enodes) 543.419 * * [simplify]: Extracting #0: cost 1 inf + 0 543.419 * * [simplify]: Extracting #1: cost 3 inf + 0 543.419 * * [simplify]: Extracting #2: cost 6 inf + 0 543.419 * * [simplify]: Extracting #3: cost 10 inf + 0 543.419 * * [simplify]: Extracting #4: cost 16 inf + 0 543.419 * * [simplify]: Extracting #5: cost 100 inf + 0 543.420 * * [simplify]: Extracting #6: cost 230 inf + 0 543.420 * * [simplify]: Extracting #7: cost 263 inf + 1099 543.422 * * [simplify]: Extracting #8: cost 210 inf + 10496 543.430 * * [simplify]: Extracting #9: cost 104 inf + 45097 543.444 * * [simplify]: Extracting #10: cost 12 inf + 81793 543.462 * * [simplify]: Extracting #11: cost 5 inf + 85566 543.479 * * [simplify]: Extracting #12: cost 3 inf + 87696 543.496 * * [simplify]: Extracting #13: cost 0 inf + 92051 543.513 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) 543.513 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.514 * * * * [progress]: [ 1867 / 4754 ] simplifiying candidate # 543.514 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 543.515 * * [simplify]: iters left: 6 (42 enodes) 543.526 * * [simplify]: iters left: 5 (212 enodes) 543.581 * * [simplify]: Extracting #0: cost 1 inf + 0 543.582 * * [simplify]: Extracting #1: cost 3 inf + 0 543.582 * * [simplify]: Extracting #2: cost 6 inf + 0 543.582 * * [simplify]: Extracting #3: cost 10 inf + 0 543.582 * * [simplify]: Extracting #4: cost 16 inf + 0 543.582 * * [simplify]: Extracting #5: cost 112 inf + 0 543.582 * * [simplify]: Extracting #6: cost 279 inf + 0 543.584 * * [simplify]: Extracting #7: cost 305 inf + 2448 543.588 * * [simplify]: Extracting #8: cost 196 inf + 24659 543.601 * * [simplify]: Extracting #9: cost 46 inf + 81445 543.618 * * [simplify]: Extracting #10: cost 8 inf + 97135 543.640 * * [simplify]: Extracting #11: cost 2 inf + 103072 543.660 * * [simplify]: Extracting #12: cost 0 inf + 106122 543.679 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 543.679 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.680 * * * * [progress]: [ 1868 / 4754 ] simplifiying candidate # 543.680 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 543.680 * * [simplify]: iters left: 6 (42 enodes) 543.692 * * [simplify]: iters left: 5 (213 enodes) 543.744 * * [simplify]: Extracting #0: cost 1 inf + 0 543.744 * * [simplify]: Extracting #1: cost 3 inf + 0 543.744 * * [simplify]: Extracting #2: cost 6 inf + 0 543.744 * * [simplify]: Extracting #3: cost 10 inf + 0 543.744 * * [simplify]: Extracting #4: cost 16 inf + 0 543.745 * * [simplify]: Extracting #5: cost 113 inf + 0 543.745 * * [simplify]: Extracting #6: cost 283 inf + 0 543.747 * * [simplify]: Extracting #7: cost 305 inf + 3053 543.750 * * [simplify]: Extracting #8: cost 215 inf + 17089 543.757 * * [simplify]: Extracting #9: cost 137 inf + 40258 543.773 * * [simplify]: Extracting #10: cost 14 inf + 95077 543.795 * * [simplify]: Extracting #11: cost 1 inf + 103789 543.815 * * [simplify]: Extracting #12: cost 0 inf + 105214 543.835 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))) 543.835 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.836 * * * * [progress]: [ 1869 / 4754 ] simplifiying candidate # 543.836 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 543.836 * * [simplify]: iters left: 6 (42 enodes) 543.849 * * [simplify]: iters left: 5 (211 enodes) 543.902 * * [simplify]: Extracting #0: cost 1 inf + 0 543.902 * * [simplify]: Extracting #1: cost 3 inf + 0 543.902 * * [simplify]: Extracting #2: cost 6 inf + 0 543.902 * * [simplify]: Extracting #3: cost 10 inf + 0 543.902 * * [simplify]: Extracting #4: cost 16 inf + 0 543.902 * * [simplify]: Extracting #5: cost 111 inf + 0 543.903 * * [simplify]: Extracting #6: cost 270 inf + 0 543.905 * * [simplify]: Extracting #7: cost 289 inf + 1963 543.909 * * [simplify]: Extracting #8: cost 166 inf + 27946 543.923 * * [simplify]: Extracting #9: cost 29 inf + 80503 543.939 * * [simplify]: Extracting #10: cost 6 inf + 88372 543.960 * * [simplify]: Extracting #11: cost 1 inf + 94737 543.978 * * [simplify]: Extracting #12: cost 0 inf + 96242 543.996 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))) 543.996 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 543.997 * * * * [progress]: [ 1870 / 4754 ] simplifiying candidate # 543.997 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 543.997 * * [simplify]: iters left: 6 (41 enodes) 544.009 * * [simplify]: iters left: 5 (204 enodes) 544.059 * * [simplify]: Extracting #0: cost 1 inf + 0 544.059 * * [simplify]: Extracting #1: cost 3 inf + 0 544.059 * * [simplify]: Extracting #2: cost 6 inf + 0 544.059 * * [simplify]: Extracting #3: cost 10 inf + 0 544.059 * * [simplify]: Extracting #4: cost 20 inf + 0 544.059 * * [simplify]: Extracting #5: cost 128 inf + 0 544.060 * * [simplify]: Extracting #6: cost 260 inf + 1 544.061 * * [simplify]: Extracting #7: cost 280 inf + 1551 544.065 * * [simplify]: Extracting #8: cost 185 inf + 20669 544.077 * * [simplify]: Extracting #9: cost 42 inf + 71490 544.093 * * [simplify]: Extracting #10: cost 10 inf + 84524 544.110 * * [simplify]: Extracting #11: cost 1 inf + 93336 544.131 * * [simplify]: Extracting #12: cost 0 inf + 94761 544.149 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 544.149 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 544.149 * * * * [progress]: [ 1871 / 4754 ] simplifiying candidate # 544.150 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 544.150 * * [simplify]: iters left: 6 (42 enodes) 544.162 * * [simplify]: iters left: 5 (211 enodes) 544.218 * * [simplify]: Extracting #0: cost 1 inf + 0 544.218 * * [simplify]: Extracting #1: cost 3 inf + 0 544.218 * * [simplify]: Extracting #2: cost 6 inf + 0 544.218 * * [simplify]: Extracting #3: cost 10 inf + 0 544.218 * * [simplify]: Extracting #4: cost 20 inf + 0 544.218 * * [simplify]: Extracting #5: cost 125 inf + 0 544.219 * * [simplify]: Extracting #6: cost 269 inf + 44 544.220 * * [simplify]: Extracting #7: cost 281 inf + 2656 544.223 * * [simplify]: Extracting #8: cost 191 inf + 17429 544.229 * * [simplify]: Extracting #9: cost 147 inf + 28645 544.236 * * [simplify]: Extracting #10: cost 108 inf + 42493 544.250 * * [simplify]: Extracting #11: cost 17 inf + 77964 544.266 * * [simplify]: Extracting #12: cost 3 inf + 87794 544.286 * * [simplify]: Extracting #13: cost 0 inf + 90989 544.303 * * [simplify]: Extracting #14: cost 0 inf + 90909 544.320 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 544.320 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 544.320 * * * * [progress]: [ 1872 / 4754 ] simplifiying candidate # 544.321 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 544.321 * * [simplify]: iters left: 6 (41 enodes) 544.332 * * [simplify]: iters left: 5 (203 enodes) 544.381 * * [simplify]: Extracting #0: cost 1 inf + 0 544.381 * * [simplify]: Extracting #1: cost 3 inf + 0 544.381 * * [simplify]: Extracting #2: cost 6 inf + 0 544.381 * * [simplify]: Extracting #3: cost 10 inf + 0 544.381 * * [simplify]: Extracting #4: cost 20 inf + 0 544.381 * * [simplify]: Extracting #5: cost 129 inf + 0 544.382 * * [simplify]: Extracting #6: cost 256 inf + 1 544.383 * * [simplify]: Extracting #7: cost 276 inf + 1433 544.386 * * [simplify]: Extracting #8: cost 182 inf + 20948 544.399 * * [simplify]: Extracting #9: cost 26 inf + 79805 544.415 * * [simplify]: Extracting #10: cost 9 inf + 86472 544.433 * * [simplify]: Extracting #11: cost 0 inf + 94669 544.453 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 544.453 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 544.454 * * * * [progress]: [ 1873 / 4754 ] simplifiying candidate # 544.454 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 544.455 * * [simplify]: iters left: 6 (42 enodes) 544.466 * * [simplify]: iters left: 5 (211 enodes) 544.520 * * [simplify]: Extracting #0: cost 1 inf + 0 544.520 * * [simplify]: Extracting #1: cost 3 inf + 0 544.520 * * [simplify]: Extracting #2: cost 6 inf + 0 544.520 * * [simplify]: Extracting #3: cost 10 inf + 0 544.520 * * [simplify]: Extracting #4: cost 20 inf + 0 544.521 * * [simplify]: Extracting #5: cost 124 inf + 0 544.521 * * [simplify]: Extracting #6: cost 269 inf + 44 544.523 * * [simplify]: Extracting #7: cost 272 inf + 4160 544.526 * * [simplify]: Extracting #8: cost 199 inf + 14363 544.531 * * [simplify]: Extracting #9: cost 151 inf + 27069 544.538 * * [simplify]: Extracting #10: cost 108 inf + 42493 544.551 * * [simplify]: Extracting #11: cost 17 inf + 77964 544.567 * * [simplify]: Extracting #12: cost 3 inf + 87794 544.584 * * [simplify]: Extracting #13: cost 0 inf + 90989 544.602 * * [simplify]: Extracting #14: cost 0 inf + 90909 544.618 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))) 544.618 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 544.619 * * * * [progress]: [ 1874 / 4754 ] simplifiying candidate # 544.619 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 544.620 * * [simplify]: iters left: 6 (46 enodes) 544.632 * * [simplify]: iters left: 5 (231 enodes) 544.689 * * [simplify]: Extracting #0: cost 1 inf + 0 544.689 * * [simplify]: Extracting #1: cost 3 inf + 0 544.689 * * [simplify]: Extracting #2: cost 6 inf + 0 544.689 * * [simplify]: Extracting #3: cost 10 inf + 0 544.689 * * [simplify]: Extracting #4: cost 16 inf + 0 544.689 * * [simplify]: Extracting #5: cost 111 inf + 0 544.689 * * [simplify]: Extracting #6: cost 271 inf + 0 544.691 * * [simplify]: Extracting #7: cost 306 inf + 1550 544.692 * * [simplify]: Extracting #8: cost 278 inf + 5290 544.698 * * [simplify]: Extracting #9: cost 165 inf + 34608 544.712 * * [simplify]: Extracting #10: cost 41 inf + 89525 544.732 * * [simplify]: Extracting #11: cost 7 inf + 107160 544.752 * * [simplify]: Extracting #12: cost 2 inf + 112285 544.776 * * [simplify]: Extracting #13: cost 0 inf + 115375 544.797 * * [simplify]: Extracting #14: cost 0 inf + 115135 544.819 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 544.819 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 544.820 * * * * [progress]: [ 1875 / 4754 ] simplifiying candidate # 544.820 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 544.820 * * [simplify]: iters left: 6 (49 enodes) 544.834 * * [simplify]: iters left: 5 (252 enodes) 544.895 * * [simplify]: Extracting #0: cost 1 inf + 0 544.895 * * [simplify]: Extracting #1: cost 3 inf + 0 544.895 * * [simplify]: Extracting #2: cost 6 inf + 0 544.895 * * [simplify]: Extracting #3: cost 10 inf + 0 544.895 * * [simplify]: Extracting #4: cost 16 inf + 0 544.895 * * [simplify]: Extracting #5: cost 120 inf + 0 544.896 * * [simplify]: Extracting #6: cost 310 inf + 0 544.898 * * [simplify]: Extracting #7: cost 342 inf + 2649 544.904 * * [simplify]: Extracting #8: cost 188 inf + 41948 544.926 * * [simplify]: Extracting #9: cost 31 inf + 106610 544.947 * * [simplify]: Extracting #10: cost 5 inf + 120992 544.969 * * [simplify]: Extracting #11: cost 0 inf + 124998 544.992 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))))) 544.992 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 544.993 * * * * [progress]: [ 1876 / 4754 ] simplifiying candidate # 544.993 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 544.993 * * [simplify]: iters left: 6 (49 enodes) 545.008 * * [simplify]: iters left: 5 (252 enodes) 545.067 * * [simplify]: Extracting #0: cost 1 inf + 0 545.067 * * [simplify]: Extracting #1: cost 3 inf + 0 545.067 * * [simplify]: Extracting #2: cost 6 inf + 0 545.067 * * [simplify]: Extracting #3: cost 10 inf + 0 545.067 * * [simplify]: Extracting #4: cost 16 inf + 0 545.067 * * [simplify]: Extracting #5: cost 122 inf + 0 545.068 * * [simplify]: Extracting #6: cost 309 inf + 0 545.069 * * [simplify]: Extracting #7: cost 341 inf + 2446 545.080 * * [simplify]: Extracting #8: cost 174 inf + 48311 545.098 * * [simplify]: Extracting #9: cost 33 inf + 104164 545.120 * * [simplify]: Extracting #10: cost 3 inf + 119111 545.142 * * [simplify]: Extracting #11: cost 0 inf + 122693 545.165 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 545.165 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 545.165 * * * * [progress]: [ 1877 / 4754 ] simplifiying candidate # 545.166 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 545.166 * * [simplify]: iters left: 6 (49 enodes) 545.180 * * [simplify]: iters left: 5 (250 enodes) 545.241 * * [simplify]: Extracting #0: cost 1 inf + 0 545.241 * * [simplify]: Extracting #1: cost 3 inf + 0 545.241 * * [simplify]: Extracting #2: cost 6 inf + 0 545.241 * * [simplify]: Extracting #3: cost 10 inf + 0 545.242 * * [simplify]: Extracting #4: cost 16 inf + 0 545.242 * * [simplify]: Extracting #5: cost 116 inf + 0 545.242 * * [simplify]: Extracting #6: cost 290 inf + 0 545.243 * * [simplify]: Extracting #7: cost 315 inf + 2084 545.246 * * [simplify]: Extracting #8: cost 242 inf + 13325 545.253 * * [simplify]: Extracting #9: cost 150 inf + 39134 545.267 * * [simplify]: Extracting #10: cost 37 inf + 85587 545.286 * * [simplify]: Extracting #11: cost 2 inf + 106024 545.305 * * [simplify]: Extracting #12: cost 0 inf + 108474 545.327 * * [simplify]: Extracting #13: cost 0 inf + 108434 545.347 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 545.347 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 545.347 * * * * [progress]: [ 1878 / 4754 ] simplifiying candidate # 545.348 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 545.348 * * [simplify]: iters left: 6 (48 enodes) 545.361 * * [simplify]: iters left: 5 (244 enodes) 545.421 * * [simplify]: Extracting #0: cost 1 inf + 0 545.421 * * [simplify]: Extracting #1: cost 3 inf + 0 545.421 * * [simplify]: Extracting #2: cost 6 inf + 0 545.421 * * [simplify]: Extracting #3: cost 10 inf + 0 545.421 * * [simplify]: Extracting #4: cost 20 inf + 0 545.421 * * [simplify]: Extracting #5: cost 138 inf + 0 545.422 * * [simplify]: Extracting #6: cost 297 inf + 1 545.424 * * [simplify]: Extracting #7: cost 314 inf + 3339 545.428 * * [simplify]: Extracting #8: cost 235 inf + 20293 545.436 * * [simplify]: Extracting #9: cost 142 inf + 49009 545.453 * * [simplify]: Extracting #10: cost 35 inf + 94076 545.474 * * [simplify]: Extracting #11: cost 2 inf + 113444 545.498 * * [simplify]: Extracting #12: cost 0 inf + 116574 545.518 * * [simplify]: Extracting #13: cost 0 inf + 116494 545.539 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) 545.539 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 545.540 * * * * [progress]: [ 1879 / 4754 ] simplifiying candidate # 545.540 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 545.541 * * [simplify]: iters left: 6 (49 enodes) 545.554 * * [simplify]: iters left: 5 (250 enodes) 545.614 * * [simplify]: Extracting #0: cost 1 inf + 0 545.614 * * [simplify]: Extracting #1: cost 3 inf + 0 545.614 * * [simplify]: Extracting #2: cost 6 inf + 0 545.614 * * [simplify]: Extracting #3: cost 10 inf + 0 545.614 * * [simplify]: Extracting #4: cost 20 inf + 0 545.614 * * [simplify]: Extracting #5: cost 132 inf + 0 545.615 * * [simplify]: Extracting #6: cost 292 inf + 44 545.617 * * [simplify]: Extracting #7: cost 289 inf + 6944 545.621 * * [simplify]: Extracting #8: cost 201 inf + 24120 545.629 * * [simplify]: Extracting #9: cost 138 inf + 41740 545.646 * * [simplify]: Extracting #10: cost 32 inf + 84196 545.665 * * [simplify]: Extracting #11: cost 1 inf + 105610 545.684 * * [simplify]: Extracting #12: cost 0 inf + 105915 545.703 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (+ phi1 phi2)))))) 545.703 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 545.704 * * * * [progress]: [ 1880 / 4754 ] simplifiying candidate # 545.704 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 545.704 * * [simplify]: iters left: 6 (48 enodes) 545.717 * * [simplify]: iters left: 5 (244 enodes) 545.775 * * [simplify]: Extracting #0: cost 1 inf + 0 545.775 * * [simplify]: Extracting #1: cost 3 inf + 0 545.775 * * [simplify]: Extracting #2: cost 6 inf + 0 545.775 * * [simplify]: Extracting #3: cost 10 inf + 0 545.775 * * [simplify]: Extracting #4: cost 20 inf + 0 545.776 * * [simplify]: Extracting #5: cost 138 inf + 0 545.776 * * [simplify]: Extracting #6: cost 297 inf + 1 545.777 * * [simplify]: Extracting #7: cost 318 inf + 2447 545.781 * * [simplify]: Extracting #8: cost 235 inf + 21052 545.792 * * [simplify]: Extracting #9: cost 143 inf + 49342 545.808 * * [simplify]: Extracting #10: cost 28 inf + 97636 545.828 * * [simplify]: Extracting #11: cost 2 inf + 114084 545.849 * * [simplify]: Extracting #12: cost 0 inf + 117214 545.869 * * [simplify]: Extracting #13: cost 0 inf + 117134 545.891 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) 545.891 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 545.892 * * * * [progress]: [ 1881 / 4754 ] simplifiying candidate # 545.892 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 545.893 * * [simplify]: iters left: 6 (49 enodes) 545.906 * * [simplify]: iters left: 5 (250 enodes) 545.964 * * [simplify]: Extracting #0: cost 1 inf + 0 545.964 * * [simplify]: Extracting #1: cost 3 inf + 0 545.964 * * [simplify]: Extracting #2: cost 6 inf + 0 545.964 * * [simplify]: Extracting #3: cost 10 inf + 0 545.965 * * [simplify]: Extracting #4: cost 20 inf + 0 545.965 * * [simplify]: Extracting #5: cost 131 inf + 0 545.965 * * [simplify]: Extracting #6: cost 291 inf + 86 545.967 * * [simplify]: Extracting #7: cost 302 inf + 4397 545.971 * * [simplify]: Extracting #8: cost 214 inf + 20368 545.977 * * [simplify]: Extracting #9: cost 138 inf + 42003 545.991 * * [simplify]: Extracting #10: cost 31 inf + 85341 546.010 * * [simplify]: Extracting #11: cost 1 inf + 105930 546.032 * * [simplify]: Extracting #12: cost 0 inf + 106235 546.052 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (+ phi1 phi2)))))) 546.052 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 546.052 * * * * [progress]: [ 1882 / 4754 ] simplifiying candidate # 546.053 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 546.053 * * [simplify]: iters left: 6 (39 enodes) 546.064 * * [simplify]: iters left: 5 (191 enodes) 546.112 * * [simplify]: Extracting #0: cost 1 inf + 0 546.112 * * [simplify]: Extracting #1: cost 3 inf + 0 546.112 * * [simplify]: Extracting #2: cost 6 inf + 0 546.112 * * [simplify]: Extracting #3: cost 10 inf + 0 546.112 * * [simplify]: Extracting #4: cost 16 inf + 0 546.112 * * [simplify]: Extracting #5: cost 100 inf + 0 546.113 * * [simplify]: Extracting #6: cost 236 inf + 0 546.114 * * [simplify]: Extracting #7: cost 271 inf + 1018 546.115 * * [simplify]: Extracting #8: cost 241 inf + 3918 546.119 * * [simplify]: Extracting #9: cost 159 inf + 25155 546.131 * * [simplify]: Extracting #10: cost 30 inf + 75371 546.147 * * [simplify]: Extracting #11: cost 7 inf + 87533 546.164 * * [simplify]: Extracting #12: cost 3 inf + 91313 546.182 * * [simplify]: Extracting #13: cost 1 inf + 94123 546.201 * * [simplify]: Extracting #14: cost 0 inf + 95588 546.219 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) 546.219 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 546.220 * * * * [progress]: [ 1883 / 4754 ] simplifiying candidate # 546.220 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 546.220 * * [simplify]: iters left: 6 (42 enodes) 546.232 * * [simplify]: iters left: 5 (213 enodes) 546.284 * * [simplify]: Extracting #0: cost 1 inf + 0 546.284 * * [simplify]: Extracting #1: cost 3 inf + 0 546.284 * * [simplify]: Extracting #2: cost 6 inf + 0 546.284 * * [simplify]: Extracting #3: cost 10 inf + 0 546.284 * * [simplify]: Extracting #4: cost 16 inf + 0 546.284 * * [simplify]: Extracting #5: cost 112 inf + 0 546.285 * * [simplify]: Extracting #6: cost 279 inf + 0 546.286 * * [simplify]: Extracting #7: cost 312 inf + 1716 546.290 * * [simplify]: Extracting #8: cost 206 inf + 22484 546.302 * * [simplify]: Extracting #9: cost 54 inf + 77120 546.320 * * [simplify]: Extracting #10: cost 10 inf + 98009 546.339 * * [simplify]: Extracting #11: cost 3 inf + 101874 546.360 * * [simplify]: Extracting #12: cost 1 inf + 104924 546.380 * * [simplify]: Extracting #13: cost 0 inf + 106469 546.400 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 546.400 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 546.401 * * * * [progress]: [ 1884 / 4754 ] simplifiying candidate # 546.401 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 546.402 * * [simplify]: iters left: 6 (42 enodes) 546.414 * * [simplify]: iters left: 5 (214 enodes) 546.868 * * [simplify]: Extracting #0: cost 1 inf + 0 546.868 * * [simplify]: Extracting #1: cost 3 inf + 0 546.868 * * [simplify]: Extracting #2: cost 6 inf + 0 546.868 * * [simplify]: Extracting #3: cost 10 inf + 0 546.868 * * [simplify]: Extracting #4: cost 16 inf + 0 546.868 * * [simplify]: Extracting #5: cost 113 inf + 0 546.869 * * [simplify]: Extracting #6: cost 283 inf + 0 546.870 * * [simplify]: Extracting #7: cost 309 inf + 2446 546.873 * * [simplify]: Extracting #8: cost 223 inf + 15673 546.880 * * [simplify]: Extracting #9: cost 137 inf + 42479 546.896 * * [simplify]: Extracting #10: cost 23 inf + 93923 546.918 * * [simplify]: Extracting #11: cost 0 inf + 106201 546.938 * * [simplify]: Extracting #12: cost 0 inf + 105281 546.957 * * [simplify]: Extracting #13: cost 0 inf + 105201 546.976 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 546.976 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 546.977 * * * * [progress]: [ 1885 / 4754 ] simplifiying candidate # 546.977 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 546.977 * * [simplify]: iters left: 6 (42 enodes) 546.988 * * [simplify]: iters left: 5 (212 enodes) 547.040 * * [simplify]: Extracting #0: cost 1 inf + 0 547.040 * * [simplify]: Extracting #1: cost 3 inf + 0 547.040 * * [simplify]: Extracting #2: cost 6 inf + 0 547.040 * * [simplify]: Extracting #3: cost 10 inf + 0 547.040 * * [simplify]: Extracting #4: cost 16 inf + 0 547.040 * * [simplify]: Extracting #5: cost 111 inf + 0 547.041 * * [simplify]: Extracting #6: cost 271 inf + 0 547.042 * * [simplify]: Extracting #7: cost 292 inf + 1963 547.044 * * [simplify]: Extracting #8: cost 217 inf + 13172 547.051 * * [simplify]: Extracting #9: cost 125 inf + 41000 547.066 * * [simplify]: Extracting #10: cost 18 inf + 84219 547.086 * * [simplify]: Extracting #11: cost 1 inf + 95269 547.104 * * [simplify]: Extracting #12: cost 0 inf + 96774 547.122 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 547.122 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 547.123 * * * * [progress]: [ 1886 / 4754 ] simplifiying candidate # 547.123 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 547.123 * * [simplify]: iters left: 6 (41 enodes) 547.134 * * [simplify]: iters left: 5 (206 enodes) 547.182 * * [simplify]: Extracting #0: cost 1 inf + 0 547.182 * * [simplify]: Extracting #1: cost 3 inf + 0 547.182 * * [simplify]: Extracting #2: cost 6 inf + 0 547.182 * * [simplify]: Extracting #3: cost 10 inf + 0 547.182 * * [simplify]: Extracting #4: cost 20 inf + 0 547.182 * * [simplify]: Extracting #5: cost 127 inf + 0 547.183 * * [simplify]: Extracting #6: cost 265 inf + 1 547.184 * * [simplify]: Extracting #7: cost 287 inf + 1271 547.187 * * [simplify]: Extracting #8: cost 198 inf + 19834 547.199 * * [simplify]: Extracting #9: cost 44 inf + 73851 547.216 * * [simplify]: Extracting #10: cost 8 inf + 89427 547.236 * * [simplify]: Extracting #11: cost 0 inf + 97412 547.254 * * [simplify]: Extracting #12: cost 0 inf + 97372 547.272 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 547.273 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 547.273 * * * * [progress]: [ 1887 / 4754 ] simplifiying candidate # 547.273 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 547.274 * * [simplify]: iters left: 6 (42 enodes) 547.284 * * [simplify]: iters left: 5 (212 enodes) 547.335 * * [simplify]: Extracting #0: cost 1 inf + 0 547.335 * * [simplify]: Extracting #1: cost 3 inf + 0 547.335 * * [simplify]: Extracting #2: cost 6 inf + 0 547.335 * * [simplify]: Extracting #3: cost 10 inf + 0 547.335 * * [simplify]: Extracting #4: cost 20 inf + 0 547.335 * * [simplify]: Extracting #5: cost 125 inf + 0 547.336 * * [simplify]: Extracting #6: cost 268 inf + 44 547.337 * * [simplify]: Extracting #7: cost 273 inf + 4116 547.342 * * [simplify]: Extracting #8: cost 163 inf + 27556 547.355 * * [simplify]: Extracting #9: cost 25 inf + 78285 547.371 * * [simplify]: Extracting #10: cost 3 inf + 89158 547.390 * * [simplify]: Extracting #11: cost 0 inf + 91231 547.408 * * [simplify]: Extracting #12: cost 0 inf + 91071 547.424 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) 547.424 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 547.425 * * * * [progress]: [ 1888 / 4754 ] simplifiying candidate # 547.425 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 547.426 * * [simplify]: iters left: 6 (41 enodes) 547.436 * * [simplify]: iters left: 5 (205 enodes) 547.486 * * [simplify]: Extracting #0: cost 1 inf + 0 547.486 * * [simplify]: Extracting #1: cost 3 inf + 0 547.486 * * [simplify]: Extracting #2: cost 6 inf + 0 547.486 * * [simplify]: Extracting #3: cost 10 inf + 0 547.486 * * [simplify]: Extracting #4: cost 20 inf + 0 547.486 * * [simplify]: Extracting #5: cost 128 inf + 0 547.487 * * [simplify]: Extracting #6: cost 261 inf + 1 547.488 * * [simplify]: Extracting #7: cost 280 inf + 1757 547.490 * * [simplify]: Extracting #8: cost 227 inf + 9070 547.496 * * [simplify]: Extracting #9: cost 123 inf + 40040 547.510 * * [simplify]: Extracting #10: cost 25 inf + 81174 547.527 * * [simplify]: Extracting #11: cost 4 inf + 91940 547.547 * * [simplify]: Extracting #12: cost 1 inf + 95335 547.565 * * [simplify]: Extracting #13: cost 0 inf + 96640 547.583 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 547.583 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 547.584 * * * * [progress]: [ 1889 / 4754 ] simplifiying candidate # 547.584 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 547.584 * * [simplify]: iters left: 6 (42 enodes) 547.595 * * [simplify]: iters left: 5 (212 enodes) 547.645 * * [simplify]: Extracting #0: cost 1 inf + 0 547.645 * * [simplify]: Extracting #1: cost 3 inf + 0 547.645 * * [simplify]: Extracting #2: cost 6 inf + 0 547.645 * * [simplify]: Extracting #3: cost 10 inf + 0 547.645 * * [simplify]: Extracting #4: cost 20 inf + 0 547.646 * * [simplify]: Extracting #5: cost 124 inf + 0 547.646 * * [simplify]: Extracting #6: cost 268 inf + 44 547.648 * * [simplify]: Extracting #7: cost 277 inf + 3387 547.652 * * [simplify]: Extracting #8: cost 176 inf + 22992 547.664 * * [simplify]: Extracting #9: cost 34 inf + 73365 547.679 * * [simplify]: Extracting #10: cost 8 inf + 82713 547.696 * * [simplify]: Extracting #11: cost 1 inf + 89926 547.715 * * [simplify]: Extracting #12: cost 0 inf + 91311 547.732 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 547.732 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 547.733 * * * * [progress]: [ 1890 / 4754 ] simplifiying candidate # 547.733 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 547.733 * * [simplify]: iters left: 6 (41 enodes) 547.744 * * [simplify]: iters left: 5 (208 enodes) 547.794 * * [simplify]: Extracting #0: cost 1 inf + 0 547.794 * * [simplify]: Extracting #1: cost 3 inf + 0 547.794 * * [simplify]: Extracting #2: cost 6 inf + 0 547.795 * * [simplify]: Extracting #3: cost 10 inf + 0 547.795 * * [simplify]: Extracting #4: cost 16 inf + 0 547.795 * * [simplify]: Extracting #5: cost 104 inf + 0 547.795 * * [simplify]: Extracting #6: cost 257 inf + 2 547.796 * * [simplify]: Extracting #7: cost 276 inf + 1877 547.799 * * [simplify]: Extracting #8: cost 180 inf + 20361 547.811 * * [simplify]: Extracting #9: cost 25 inf + 74535 547.826 * * [simplify]: Extracting #10: cost 6 inf + 80947 547.842 * * [simplify]: Extracting #11: cost 1 inf + 86479 547.858 * * [simplify]: Extracting #12: cost 0 inf + 87784 547.877 * * [simplify]: Extracting #13: cost 0 inf + 87744 547.893 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 547.893 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 547.894 * * * * [progress]: [ 1891 / 4754 ] simplifiying candidate # 547.894 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 547.895 * * [simplify]: iters left: 6 (41 enodes) 547.905 * * [simplify]: iters left: 5 (206 enodes) 547.955 * * [simplify]: Extracting #0: cost 1 inf + 0 547.955 * * [simplify]: Extracting #1: cost 3 inf + 0 547.955 * * [simplify]: Extracting #2: cost 6 inf + 0 547.955 * * [simplify]: Extracting #3: cost 10 inf + 0 547.955 * * [simplify]: Extracting #4: cost 19 inf + 0 547.955 * * [simplify]: Extracting #5: cost 111 inf + 0 547.956 * * [simplify]: Extracting #6: cost 258 inf + 0 547.956 * * [simplify]: Extracting #7: cost 280 inf + 1187 547.959 * * [simplify]: Extracting #8: cost 209 inf + 11092 547.964 * * [simplify]: Extracting #9: cost 127 inf + 33348 547.976 * * [simplify]: Extracting #10: cost 25 inf + 69404 547.992 * * [simplify]: Extracting #11: cost 2 inf + 82139 548.008 * * [simplify]: Extracting #12: cost 0 inf + 84869 548.026 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 548.026 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 548.027 * * * * [progress]: [ 1892 / 4754 ] simplifiying candidate # 548.027 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 548.027 * * [simplify]: iters left: 6 (48 enodes) 548.040 * * [simplify]: iters left: 5 (256 enodes) 548.107 * * [simplify]: Extracting #0: cost 1 inf + 0 548.107 * * [simplify]: Extracting #1: cost 3 inf + 0 548.107 * * [simplify]: Extracting #2: cost 6 inf + 0 548.107 * * [simplify]: Extracting #3: cost 10 inf + 0 548.107 * * [simplify]: Extracting #4: cost 16 inf + 0 548.107 * * [simplify]: Extracting #5: cost 118 inf + 0 548.108 * * [simplify]: Extracting #6: cost 314 inf + 0 548.110 * * [simplify]: Extracting #7: cost 359 inf + 4063 548.116 * * [simplify]: Extracting #8: cost 200 inf + 40375 548.134 * * [simplify]: Extracting #9: cost 66 inf + 91286 548.159 * * [simplify]: Extracting #10: cost 5 inf + 125714 548.183 * * [simplify]: Extracting #11: cost 0 inf + 131826 548.208 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 548.209 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 548.209 * * * * [progress]: [ 1893 / 4754 ] simplifiying candidate # 548.210 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 548.210 * * [simplify]: iters left: 6 (46 enodes) 548.222 * * [simplify]: iters left: 5 (240 enodes) 548.280 * * [simplify]: Extracting #0: cost 1 inf + 0 548.280 * * [simplify]: Extracting #1: cost 3 inf + 0 548.280 * * [simplify]: Extracting #2: cost 6 inf + 0 548.280 * * [simplify]: Extracting #3: cost 10 inf + 0 548.280 * * [simplify]: Extracting #4: cost 16 inf + 0 548.280 * * [simplify]: Extracting #5: cost 109 inf + 0 548.281 * * [simplify]: Extracting #6: cost 282 inf + 0 548.282 * * [simplify]: Extracting #7: cost 320 inf + 2245 548.286 * * [simplify]: Extracting #8: cost 193 inf + 27595 548.301 * * [simplify]: Extracting #9: cost 53 inf + 84583 548.320 * * [simplify]: Extracting #10: cost 10 inf + 106000 548.342 * * [simplify]: Extracting #11: cost 4 inf + 109949 548.364 * * [simplify]: Extracting #12: cost 1 inf + 114424 548.384 * * [simplify]: Extracting #13: cost 0 inf + 116089 548.405 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 548.405 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 548.406 * * * * [progress]: [ 1894 / 4754 ] simplifiying candidate # 548.406 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 548.407 * * [simplify]: iters left: 6 (48 enodes) 548.420 * * [simplify]: iters left: 5 (250 enodes) 548.483 * * [simplify]: Extracting #0: cost 1 inf + 0 548.483 * * [simplify]: Extracting #1: cost 3 inf + 0 548.483 * * [simplify]: Extracting #2: cost 6 inf + 0 548.483 * * [simplify]: Extracting #3: cost 10 inf + 0 548.483 * * [simplify]: Extracting #4: cost 16 inf + 0 548.484 * * [simplify]: Extracting #5: cost 119 inf + 0 548.484 * * [simplify]: Extracting #6: cost 289 inf + 0 548.486 * * [simplify]: Extracting #7: cost 336 inf + 3456 548.492 * * [simplify]: Extracting #8: cost 186 inf + 38131 548.510 * * [simplify]: Extracting #9: cost 61 inf + 92284 548.532 * * [simplify]: Extracting #10: cost 10 inf + 120417 548.556 * * [simplify]: Extracting #11: cost 0 inf + 126587 548.579 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 548.580 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 548.580 * * * * [progress]: [ 1895 / 4754 ] simplifiying candidate # 548.581 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 548.581 * * [simplify]: iters left: 6 (48 enodes) 548.595 * * [simplify]: iters left: 5 (256 enodes) 548.660 * * [simplify]: Extracting #0: cost 1 inf + 0 548.660 * * [simplify]: Extracting #1: cost 3 inf + 0 548.660 * * [simplify]: Extracting #2: cost 6 inf + 0 548.660 * * [simplify]: Extracting #3: cost 10 inf + 0 548.660 * * [simplify]: Extracting #4: cost 16 inf + 0 548.660 * * [simplify]: Extracting #5: cost 115 inf + 0 548.661 * * [simplify]: Extracting #6: cost 304 inf + 0 548.662 * * [simplify]: Extracting #7: cost 339 inf + 2211 548.665 * * [simplify]: Extracting #8: cost 264 inf + 14298 548.676 * * [simplify]: Extracting #9: cost 98 inf + 67881 548.695 * * [simplify]: Extracting #10: cost 7 inf + 107747 548.716 * * [simplify]: Extracting #11: cost 1 inf + 113164 548.739 * * [simplify]: Extracting #12: cost 0 inf + 114789 548.762 * * [simplify]: Extracting #13: cost 0 inf + 114749 548.783 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))))) 548.783 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 548.784 * * * * [progress]: [ 1896 / 4754 ] simplifiying candidate # 548.784 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 548.784 * * [simplify]: iters left: 6 (48 enodes) 548.797 * * [simplify]: iters left: 5 (252 enodes) 548.856 * * [simplify]: Extracting #0: cost 1 inf + 0 548.856 * * [simplify]: Extracting #1: cost 3 inf + 0 548.856 * * [simplify]: Extracting #2: cost 6 inf + 0 548.856 * * [simplify]: Extracting #3: cost 10 inf + 0 548.856 * * [simplify]: Extracting #4: cost 20 inf + 0 548.856 * * [simplify]: Extracting #5: cost 135 inf + 0 548.857 * * [simplify]: Extracting #6: cost 304 inf + 1 548.858 * * [simplify]: Extracting #7: cost 337 inf + 2532 548.864 * * [simplify]: Extracting #8: cost 191 inf + 35401 548.879 * * [simplify]: Extracting #9: cost 49 inf + 90186 548.902 * * [simplify]: Extracting #10: cost 8 inf + 111655 548.924 * * [simplify]: Extracting #11: cost 1 inf + 116858 548.946 * * [simplify]: Extracting #12: cost 0 inf + 118563 548.968 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) 548.968 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 548.968 * * * * [progress]: [ 1897 / 4754 ] simplifiying candidate # 548.969 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 548.969 * * [simplify]: iters left: 6 (48 enodes) 548.983 * * [simplify]: iters left: 5 (252 enodes) 549.042 * * [simplify]: Extracting #0: cost 1 inf + 0 549.042 * * [simplify]: Extracting #1: cost 3 inf + 0 549.042 * * [simplify]: Extracting #2: cost 6 inf + 0 549.042 * * [simplify]: Extracting #3: cost 10 inf + 0 549.042 * * [simplify]: Extracting #4: cost 20 inf + 0 549.042 * * [simplify]: Extracting #5: cost 125 inf + 0 549.043 * * [simplify]: Extracting #6: cost 291 inf + 44 549.044 * * [simplify]: Extracting #7: cost 329 inf + 2372 549.050 * * [simplify]: Extracting #8: cost 219 inf + 21132 549.060 * * [simplify]: Extracting #9: cost 105 inf + 56944 549.079 * * [simplify]: Extracting #10: cost 10 inf + 98734 549.098 * * [simplify]: Extracting #11: cost 1 inf + 105600 549.119 * * [simplify]: Extracting #12: cost 0 inf + 107345 549.140 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 549.140 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 549.140 * * * * [progress]: [ 1898 / 4754 ] simplifiying candidate # 549.141 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 549.141 * * [simplify]: iters left: 6 (48 enodes) 549.154 * * [simplify]: iters left: 5 (252 enodes) 549.214 * * [simplify]: Extracting #0: cost 1 inf + 0 549.214 * * [simplify]: Extracting #1: cost 3 inf + 0 549.214 * * [simplify]: Extracting #2: cost 6 inf + 0 549.214 * * [simplify]: Extracting #3: cost 10 inf + 0 549.214 * * [simplify]: Extracting #4: cost 20 inf + 0 549.214 * * [simplify]: Extracting #5: cost 135 inf + 0 549.215 * * [simplify]: Extracting #6: cost 304 inf + 1 549.216 * * [simplify]: Extracting #7: cost 337 inf + 2532 549.222 * * [simplify]: Extracting #8: cost 190 inf + 35800 549.238 * * [simplify]: Extracting #9: cost 50 inf + 90403 549.258 * * [simplify]: Extracting #10: cost 8 inf + 112295 549.279 * * [simplify]: Extracting #11: cost 1 inf + 117498 549.303 * * [simplify]: Extracting #12: cost 0 inf + 119203 549.325 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))))) 549.325 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 549.325 * * * * [progress]: [ 1899 / 4754 ] simplifiying candidate # 549.326 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 549.326 * * [simplify]: iters left: 6 (48 enodes) 549.339 * * [simplify]: iters left: 5 (252 enodes) 549.400 * * [simplify]: Extracting #0: cost 1 inf + 0 549.400 * * [simplify]: Extracting #1: cost 3 inf + 0 549.400 * * [simplify]: Extracting #2: cost 6 inf + 0 549.400 * * [simplify]: Extracting #3: cost 10 inf + 0 549.400 * * [simplify]: Extracting #4: cost 20 inf + 0 549.400 * * [simplify]: Extracting #5: cost 124 inf + 0 549.401 * * [simplify]: Extracting #6: cost 291 inf + 44 549.402 * * [simplify]: Extracting #7: cost 327 inf + 2695 549.407 * * [simplify]: Extracting #8: cost 207 inf + 24804 549.416 * * [simplify]: Extracting #9: cost 105 inf + 56883 549.434 * * [simplify]: Extracting #10: cost 10 inf + 99227 549.456 * * [simplify]: Extracting #11: cost 1 inf + 105840 549.476 * * [simplify]: Extracting #12: cost 0 inf + 107585 549.496 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 549.496 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 549.496 * * * * [progress]: [ 1900 / 4754 ] simplifiying candidate # 549.497 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 549.497 * * [simplify]: iters left: 6 (48 enodes) 549.509 * * [simplify]: iters left: 5 (251 enodes) 549.568 * * [simplify]: Extracting #0: cost 1 inf + 0 549.569 * * [simplify]: Extracting #1: cost 3 inf + 0 549.569 * * [simplify]: Extracting #2: cost 6 inf + 0 549.569 * * [simplify]: Extracting #3: cost 10 inf + 0 549.569 * * [simplify]: Extracting #4: cost 16 inf + 0 549.569 * * [simplify]: Extracting #5: cost 112 inf + 0 549.569 * * [simplify]: Extracting #6: cost 295 inf + 0 549.571 * * [simplify]: Extracting #7: cost 355 inf + 827 549.575 * * [simplify]: Extracting #8: cost 215 inf + 29540 549.593 * * [simplify]: Extracting #9: cost 58 inf + 90614 549.615 * * [simplify]: Extracting #10: cost 4 inf + 121355 549.638 * * [simplify]: Extracting #11: cost 0 inf + 124840 549.661 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 549.661 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 549.662 * * * * [progress]: [ 1901 / 4754 ] simplifiying candidate # 549.662 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 549.662 * * [simplify]: iters left: 6 (46 enodes) 549.675 * * [simplify]: iters left: 5 (237 enodes) 549.733 * * [simplify]: Extracting #0: cost 1 inf + 0 549.733 * * [simplify]: Extracting #1: cost 3 inf + 0 549.733 * * [simplify]: Extracting #2: cost 6 inf + 0 549.733 * * [simplify]: Extracting #3: cost 10 inf + 0 549.733 * * [simplify]: Extracting #4: cost 16 inf + 0 549.733 * * [simplify]: Extracting #5: cost 106 inf + 0 549.734 * * [simplify]: Extracting #6: cost 270 inf + 0 549.735 * * [simplify]: Extracting #7: cost 307 inf + 1879 549.738 * * [simplify]: Extracting #8: cost 207 inf + 16568 549.746 * * [simplify]: Extracting #9: cost 117 inf + 47848 549.764 * * [simplify]: Extracting #10: cost 18 inf + 95864 549.783 * * [simplify]: Extracting #11: cost 4 inf + 105288 549.803 * * [simplify]: Extracting #12: cost 0 inf + 111668 549.823 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 549.824 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 549.824 * * * * [progress]: [ 1902 / 4754 ] simplifiying candidate # 549.824 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 549.825 * * [simplify]: iters left: 6 (48 enodes) 549.840 * * [simplify]: iters left: 5 (249 enodes) 549.898 * * [simplify]: Extracting #0: cost 1 inf + 0 549.898 * * [simplify]: Extracting #1: cost 3 inf + 0 549.898 * * [simplify]: Extracting #2: cost 6 inf + 0 549.898 * * [simplify]: Extracting #3: cost 10 inf + 0 549.898 * * [simplify]: Extracting #4: cost 16 inf + 0 549.898 * * [simplify]: Extracting #5: cost 113 inf + 0 549.899 * * [simplify]: Extracting #6: cost 269 inf + 0 549.900 * * [simplify]: Extracting #7: cost 314 inf + 2451 549.907 * * [simplify]: Extracting #8: cost 207 inf + 20415 549.916 * * [simplify]: Extracting #9: cost 115 inf + 54162 549.934 * * [simplify]: Extracting #10: cost 25 inf + 98831 549.954 * * [simplify]: Extracting #11: cost 1 inf + 113496 549.976 * * [simplify]: Extracting #12: cost 0 inf + 115201 549.998 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 549.998 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 549.999 * * * * [progress]: [ 1903 / 4754 ] simplifiying candidate # 549.999 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 550.000 * * [simplify]: iters left: 6 (48 enodes) 550.014 * * [simplify]: iters left: 5 (251 enodes) 550.074 * * [simplify]: Extracting #0: cost 1 inf + 0 550.074 * * [simplify]: Extracting #1: cost 3 inf + 0 550.074 * * [simplify]: Extracting #2: cost 6 inf + 0 550.074 * * [simplify]: Extracting #3: cost 10 inf + 0 550.074 * * [simplify]: Extracting #4: cost 16 inf + 0 550.074 * * [simplify]: Extracting #5: cost 109 inf + 0 550.075 * * [simplify]: Extracting #6: cost 288 inf + 0 550.076 * * [simplify]: Extracting #7: cost 315 inf + 3501 550.080 * * [simplify]: Extracting #8: cost 205 inf + 21788 550.089 * * [simplify]: Extracting #9: cost 100 inf + 54957 550.106 * * [simplify]: Extracting #10: cost 19 inf + 93798 550.125 * * [simplify]: Extracting #11: cost 0 inf + 107461 550.148 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 550.148 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 550.149 * * * * [progress]: [ 1904 / 4754 ] simplifiying candidate # 550.149 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 550.149 * * [simplify]: iters left: 6 (48 enodes) 550.162 * * [simplify]: iters left: 5 (251 enodes) 550.223 * * [simplify]: Extracting #0: cost 1 inf + 0 550.223 * * [simplify]: Extracting #1: cost 3 inf + 0 550.223 * * [simplify]: Extracting #2: cost 6 inf + 0 550.223 * * [simplify]: Extracting #3: cost 10 inf + 0 550.223 * * [simplify]: Extracting #4: cost 20 inf + 0 550.223 * * [simplify]: Extracting #5: cost 133 inf + 0 550.224 * * [simplify]: Extracting #6: cost 302 inf + 1 550.225 * * [simplify]: Extracting #7: cost 338 inf + 1601 550.230 * * [simplify]: Extracting #8: cost 202 inf + 27199 550.241 * * [simplify]: Extracting #9: cost 91 inf + 68556 550.260 * * [simplify]: Extracting #10: cost 10 inf + 107597 550.282 * * [simplify]: Extracting #11: cost 0 inf + 116555 550.306 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 550.306 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 550.306 * * * * [progress]: [ 1905 / 4754 ] simplifiying candidate # 550.307 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 550.307 * * [simplify]: iters left: 6 (48 enodes) 550.321 * * [simplify]: iters left: 5 (251 enodes) 550.382 * * [simplify]: Extracting #0: cost 1 inf + 0 550.382 * * [simplify]: Extracting #1: cost 3 inf + 0 550.382 * * [simplify]: Extracting #2: cost 6 inf + 0 550.382 * * [simplify]: Extracting #3: cost 10 inf + 0 550.382 * * [simplify]: Extracting #4: cost 20 inf + 0 550.382 * * [simplify]: Extracting #5: cost 125 inf + 0 550.383 * * [simplify]: Extracting #6: cost 291 inf + 44 550.384 * * [simplify]: Extracting #7: cost 323 inf + 2535 550.388 * * [simplify]: Extracting #8: cost 208 inf + 21352 550.397 * * [simplify]: Extracting #9: cost 109 inf + 51968 550.412 * * [simplify]: Extracting #10: cost 23 inf + 92201 550.432 * * [simplify]: Extracting #11: cost 0 inf + 105950 550.454 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 550.454 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 550.454 * * * * [progress]: [ 1906 / 4754 ] simplifiying candidate # 550.455 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 550.455 * * [simplify]: iters left: 6 (48 enodes) 550.467 * * [simplify]: iters left: 5 (251 enodes) 550.527 * * [simplify]: Extracting #0: cost 1 inf + 0 550.527 * * [simplify]: Extracting #1: cost 3 inf + 0 550.527 * * [simplify]: Extracting #2: cost 6 inf + 0 550.527 * * [simplify]: Extracting #3: cost 10 inf + 0 550.527 * * [simplify]: Extracting #4: cost 20 inf + 0 550.527 * * [simplify]: Extracting #5: cost 133 inf + 0 550.528 * * [simplify]: Extracting #6: cost 302 inf + 1 550.529 * * [simplify]: Extracting #7: cost 337 inf + 1685 550.535 * * [simplify]: Extracting #8: cost 170 inf + 41900 550.550 * * [simplify]: Extracting #9: cost 52 inf + 86995 550.570 * * [simplify]: Extracting #10: cost 9 inf + 109422 550.591 * * [simplify]: Extracting #11: cost 0 inf + 117195 550.614 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 550.614 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 550.615 * * * * [progress]: [ 1907 / 4754 ] simplifiying candidate # 550.615 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 550.616 * * [simplify]: iters left: 6 (48 enodes) 550.630 * * [simplify]: iters left: 5 (251 enodes) 550.690 * * [simplify]: Extracting #0: cost 1 inf + 0 550.690 * * [simplify]: Extracting #1: cost 3 inf + 0 550.690 * * [simplify]: Extracting #2: cost 6 inf + 0 550.690 * * [simplify]: Extracting #3: cost 10 inf + 0 550.690 * * [simplify]: Extracting #4: cost 20 inf + 0 550.691 * * [simplify]: Extracting #5: cost 124 inf + 0 550.692 * * [simplify]: Extracting #6: cost 291 inf + 44 550.693 * * [simplify]: Extracting #7: cost 323 inf + 2535 550.696 * * [simplify]: Extracting #8: cost 208 inf + 21390 550.705 * * [simplify]: Extracting #9: cost 109 inf + 52248 550.720 * * [simplify]: Extracting #10: cost 25 inf + 89111 550.739 * * [simplify]: Extracting #11: cost 2 inf + 102780 550.761 * * [simplify]: Extracting #12: cost 0 inf + 106270 550.781 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 550.781 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 550.781 * * * * [progress]: [ 1908 / 4754 ] simplifiying candidate # 550.782 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 550.782 * * [simplify]: iters left: 6 (48 enodes) 550.795 * * [simplify]: iters left: 5 (252 enodes) 550.856 * * [simplify]: Extracting #0: cost 1 inf + 0 550.856 * * [simplify]: Extracting #1: cost 3 inf + 0 550.856 * * [simplify]: Extracting #2: cost 6 inf + 0 550.856 * * [simplify]: Extracting #3: cost 10 inf + 0 550.856 * * [simplify]: Extracting #4: cost 16 inf + 0 550.856 * * [simplify]: Extracting #5: cost 112 inf + 0 550.857 * * [simplify]: Extracting #6: cost 290 inf + 0 550.858 * * [simplify]: Extracting #7: cost 332 inf + 2730 550.861 * * [simplify]: Extracting #8: cost 238 inf + 16292 550.870 * * [simplify]: Extracting #9: cost 136 inf + 53181 550.889 * * [simplify]: Extracting #10: cost 22 inf + 106182 550.913 * * [simplify]: Extracting #11: cost 5 inf + 113728 550.935 * * [simplify]: Extracting #12: cost 1 inf + 120108 550.958 * * [simplify]: Extracting #13: cost 0 inf + 121853 550.981 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 550.981 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 550.982 * * * * [progress]: [ 1909 / 4754 ] simplifiying candidate # 550.982 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 550.982 * * [simplify]: iters left: 6 (46 enodes) 550.996 * * [simplify]: iters left: 5 (240 enodes) 551.053 * * [simplify]: Extracting #0: cost 1 inf + 0 551.053 * * [simplify]: Extracting #1: cost 3 inf + 0 551.053 * * [simplify]: Extracting #2: cost 6 inf + 0 551.053 * * [simplify]: Extracting #3: cost 10 inf + 0 551.053 * * [simplify]: Extracting #4: cost 16 inf + 0 551.053 * * [simplify]: Extracting #5: cost 105 inf + 0 551.054 * * [simplify]: Extracting #6: cost 273 inf + 0 551.055 * * [simplify]: Extracting #7: cost 301 inf + 2446 551.058 * * [simplify]: Extracting #8: cost 209 inf + 17089 551.069 * * [simplify]: Extracting #9: cost 117 inf + 50863 551.084 * * [simplify]: Extracting #10: cost 30 inf + 92522 551.104 * * [simplify]: Extracting #11: cost 2 inf + 112090 551.125 * * [simplify]: Extracting #12: cost 1 inf + 113835 551.148 * * [simplify]: Extracting #13: cost 0 inf + 115580 551.169 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 551.169 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 551.169 * * * * [progress]: [ 1910 / 4754 ] simplifiying candidate # 551.170 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 551.170 * * [simplify]: iters left: 6 (48 enodes) 551.183 * * [simplify]: iters left: 5 (250 enodes) 551.245 * * [simplify]: Extracting #0: cost 1 inf + 0 551.245 * * [simplify]: Extracting #1: cost 3 inf + 0 551.245 * * [simplify]: Extracting #2: cost 6 inf + 0 551.245 * * [simplify]: Extracting #3: cost 10 inf + 0 551.245 * * [simplify]: Extracting #4: cost 16 inf + 0 551.246 * * [simplify]: Extracting #5: cost 116 inf + 0 551.246 * * [simplify]: Extracting #6: cost 283 inf + 0 551.247 * * [simplify]: Extracting #7: cost 324 inf + 1603 551.253 * * [simplify]: Extracting #8: cost 216 inf + 24868 551.264 * * [simplify]: Extracting #9: cost 103 inf + 63015 551.281 * * [simplify]: Extracting #10: cost 35 inf + 95299 551.304 * * [simplify]: Extracting #11: cost 5 inf + 113770 551.325 * * [simplify]: Extracting #12: cost 2 inf + 118325 551.348 * * [simplify]: Extracting #13: cost 0 inf + 121615 551.370 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 551.370 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 551.371 * * * * [progress]: [ 1911 / 4754 ] simplifiying candidate # 551.371 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 551.372 * * [simplify]: iters left: 6 (48 enodes) 551.385 * * [simplify]: iters left: 5 (252 enodes) 551.443 * * [simplify]: Extracting #0: cost 1 inf + 0 551.443 * * [simplify]: Extracting #1: cost 3 inf + 0 551.443 * * [simplify]: Extracting #2: cost 6 inf + 0 551.443 * * [simplify]: Extracting #3: cost 10 inf + 0 551.443 * * [simplify]: Extracting #4: cost 16 inf + 0 551.444 * * [simplify]: Extracting #5: cost 109 inf + 0 551.444 * * [simplify]: Extracting #6: cost 282 inf + 0 551.446 * * [simplify]: Extracting #7: cost 305 inf + 3579 551.452 * * [simplify]: Extracting #8: cost 204 inf + 20210 551.461 * * [simplify]: Extracting #9: cost 115 inf + 49854 551.477 * * [simplify]: Extracting #10: cost 16 inf + 94168 551.496 * * [simplify]: Extracting #11: cost 2 inf + 103639 551.517 * * [simplify]: Extracting #12: cost 0 inf + 107009 551.537 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 551.537 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 551.538 * * * * [progress]: [ 1912 / 4754 ] simplifiying candidate # 551.538 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 551.538 * * [simplify]: iters left: 6 (48 enodes) 551.551 * * [simplify]: iters left: 5 (252 enodes) 551.615 * * [simplify]: Extracting #0: cost 1 inf + 0 551.615 * * [simplify]: Extracting #1: cost 3 inf + 0 551.615 * * [simplify]: Extracting #2: cost 6 inf + 0 551.615 * * [simplify]: Extracting #3: cost 10 inf + 0 551.616 * * [simplify]: Extracting #4: cost 20 inf + 0 551.616 * * [simplify]: Extracting #5: cost 133 inf + 0 551.616 * * [simplify]: Extracting #6: cost 298 inf + 1 551.618 * * [simplify]: Extracting #7: cost 320 inf + 3259 551.622 * * [simplify]: Extracting #8: cost 207 inf + 23533 551.631 * * [simplify]: Extracting #9: cost 122 inf + 54046 551.647 * * [simplify]: Extracting #10: cost 31 inf + 96344 551.669 * * [simplify]: Extracting #11: cost 0 inf + 117332 551.693 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 551.693 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 551.694 * * * * [progress]: [ 1913 / 4754 ] simplifiying candidate # 551.694 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 551.694 * * [simplify]: iters left: 6 (48 enodes) 551.707 * * [simplify]: iters left: 5 (252 enodes) 551.768 * * [simplify]: Extracting #0: cost 1 inf + 0 551.768 * * [simplify]: Extracting #1: cost 3 inf + 0 551.768 * * [simplify]: Extracting #2: cost 6 inf + 0 551.768 * * [simplify]: Extracting #3: cost 10 inf + 0 551.768 * * [simplify]: Extracting #4: cost 20 inf + 0 551.768 * * [simplify]: Extracting #5: cost 125 inf + 0 551.769 * * [simplify]: Extracting #6: cost 286 inf + 44 551.770 * * [simplify]: Extracting #7: cost 309 inf + 3222 551.773 * * [simplify]: Extracting #8: cost 213 inf + 18806 551.782 * * [simplify]: Extracting #9: cost 106 inf + 52152 551.798 * * [simplify]: Extracting #10: cost 19 inf + 91214 551.817 * * [simplify]: Extracting #11: cost 1 inf + 103357 551.836 * * [simplify]: Extracting #12: cost 0 inf + 105102 551.857 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 551.857 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 551.858 * * * * [progress]: [ 1914 / 4754 ] simplifiying candidate # 551.858 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 551.859 * * [simplify]: iters left: 6 (48 enodes) 551.871 * * [simplify]: iters left: 5 (252 enodes) 551.934 * * [simplify]: Extracting #0: cost 1 inf + 0 551.934 * * [simplify]: Extracting #1: cost 3 inf + 0 551.934 * * [simplify]: Extracting #2: cost 6 inf + 0 551.934 * * [simplify]: Extracting #3: cost 10 inf + 0 551.934 * * [simplify]: Extracting #4: cost 20 inf + 0 551.934 * * [simplify]: Extracting #5: cost 133 inf + 0 551.935 * * [simplify]: Extracting #6: cost 297 inf + 1 551.936 * * [simplify]: Extracting #7: cost 323 inf + 2613 551.939 * * [simplify]: Extracting #8: cost 223 inf + 18601 551.948 * * [simplify]: Extracting #9: cost 130 inf + 50917 551.964 * * [simplify]: Extracting #10: cost 35 inf + 93534 551.985 * * [simplify]: Extracting #11: cost 0 inf + 117288 552.009 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 552.009 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 552.010 * * * * [progress]: [ 1915 / 4754 ] simplifiying candidate # 552.010 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 552.011 * * [simplify]: iters left: 6 (48 enodes) 552.024 * * [simplify]: iters left: 5 (252 enodes) 552.087 * * [simplify]: Extracting #0: cost 1 inf + 0 552.087 * * [simplify]: Extracting #1: cost 3 inf + 0 552.087 * * [simplify]: Extracting #2: cost 6 inf + 0 552.087 * * [simplify]: Extracting #3: cost 10 inf + 0 552.087 * * [simplify]: Extracting #4: cost 20 inf + 0 552.088 * * [simplify]: Extracting #5: cost 124 inf + 0 552.088 * * [simplify]: Extracting #6: cost 285 inf + 44 552.090 * * [simplify]: Extracting #7: cost 304 inf + 3951 552.094 * * [simplify]: Extracting #8: cost 198 inf + 22925 552.103 * * [simplify]: Extracting #9: cost 106 inf + 53624 552.119 * * [simplify]: Extracting #10: cost 20 inf + 90469 552.139 * * [simplify]: Extracting #11: cost 0 inf + 105218 552.167 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 552.167 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 552.168 * * * * [progress]: [ 1916 / 4754 ] simplifiying candidate # 552.168 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 552.168 * * [simplify]: iters left: 6 (39 enodes) 552.179 * * [simplify]: iters left: 5 (198 enodes) 552.225 * * [simplify]: Extracting #0: cost 1 inf + 0 552.225 * * [simplify]: Extracting #1: cost 3 inf + 0 552.225 * * [simplify]: Extracting #2: cost 6 inf + 0 552.225 * * [simplify]: Extracting #3: cost 10 inf + 0 552.225 * * [simplify]: Extracting #4: cost 16 inf + 0 552.225 * * [simplify]: Extracting #5: cost 108 inf + 0 552.228 * * [simplify]: Extracting #6: cost 251 inf + 0 552.229 * * [simplify]: Extracting #7: cost 280 inf + 1923 552.232 * * [simplify]: Extracting #8: cost 179 inf + 18386 552.240 * * [simplify]: Extracting #9: cost 88 inf + 51170 552.255 * * [simplify]: Extracting #10: cost 15 inf + 84145 552.271 * * [simplify]: Extracting #11: cost 4 inf + 90099 552.289 * * [simplify]: Extracting #12: cost 2 inf + 92789 552.306 * * [simplify]: Extracting #13: cost 0 inf + 95559 552.325 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 552.325 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 552.326 * * * * [progress]: [ 1917 / 4754 ] simplifiying candidate # 552.326 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 552.326 * * [simplify]: iters left: 6 (33 enodes) 552.335 * * [simplify]: iters left: 5 (161 enodes) 552.368 * * [simplify]: iters left: 4 (491 enodes) 552.612 * * [simplify]: Extracting #0: cost 1 inf + 0 552.612 * * [simplify]: Extracting #1: cost 4 inf + 0 552.612 * * [simplify]: Extracting #2: cost 7 inf + 0 552.612 * * [simplify]: Extracting #3: cost 24 inf + 0 552.613 * * [simplify]: Extracting #4: cost 331 inf + 0 552.615 * * [simplify]: Extracting #5: cost 827 inf + 417 552.620 * * [simplify]: Extracting #6: cost 928 inf + 14310 552.642 * * [simplify]: Extracting #7: cost 603 inf + 95258 552.674 * * [simplify]: Extracting #8: cost 365 inf + 182591 552.737 * * [simplify]: Extracting #9: cost 36 inf + 328126 552.810 * * [simplify]: Extracting #10: cost 0 inf + 343996 552.882 * * [simplify]: Extracting #11: cost 0 inf + 343956 552.954 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 552.954 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 552.954 * * * * [progress]: [ 1918 / 4754 ] simplifiying candidate # 552.954 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 552.955 * * [simplify]: iters left: 6 (39 enodes) 552.966 * * [simplify]: iters left: 5 (192 enodes) 553.005 * * [simplify]: Extracting #0: cost 1 inf + 0 553.005 * * [simplify]: Extracting #1: cost 4 inf + 0 553.005 * * [simplify]: Extracting #2: cost 7 inf + 0 553.005 * * [simplify]: Extracting #3: cost 10 inf + 0 553.005 * * [simplify]: Extracting #4: cost 77 inf + 0 553.006 * * [simplify]: Extracting #5: cost 205 inf + 0 553.007 * * [simplify]: Extracting #6: cost 225 inf + 1920 553.009 * * [simplify]: Extracting #7: cost 162 inf + 9890 553.013 * * [simplify]: Extracting #8: cost 91 inf + 31448 553.025 * * [simplify]: Extracting #9: cost 5 inf + 69784 553.040 * * [simplify]: Extracting #10: cost 1 inf + 72444 553.054 * * [simplify]: Extracting #11: cost 0 inf + 73549 553.067 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 553.067 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.068 * * * * [progress]: [ 1919 / 4754 ] simplifiying candidate # 553.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 553.068 * * [simplify]: iters left: 6 (39 enodes) 553.079 * * [simplify]: iters left: 5 (200 enodes) 553.129 * * [simplify]: Extracting #0: cost 1 inf + 0 553.129 * * [simplify]: Extracting #1: cost 3 inf + 0 553.129 * * [simplify]: Extracting #2: cost 6 inf + 0 553.129 * * [simplify]: Extracting #3: cost 10 inf + 0 553.129 * * [simplify]: Extracting #4: cost 16 inf + 0 553.129 * * [simplify]: Extracting #5: cost 103 inf + 0 553.130 * * [simplify]: Extracting #6: cost 252 inf + 0 553.131 * * [simplify]: Extracting #7: cost 264 inf + 2488 553.134 * * [simplify]: Extracting #8: cost 183 inf + 14909 553.141 * * [simplify]: Extracting #9: cost 88 inf + 42807 553.154 * * [simplify]: Extracting #10: cost 15 inf + 73134 553.169 * * [simplify]: Extracting #11: cost 2 inf + 81619 553.185 * * [simplify]: Extracting #12: cost 1 inf + 83004 553.203 * * [simplify]: Extracting #13: cost 0 inf + 84389 553.219 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 553.219 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.220 * * * * [progress]: [ 1920 / 4754 ] simplifiying candidate # 553.220 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 553.220 * * [simplify]: iters left: 6 (39 enodes) 553.230 * * [simplify]: iters left: 5 (195 enodes) 553.274 * * [simplify]: Extracting #0: cost 1 inf + 0 553.274 * * [simplify]: Extracting #1: cost 3 inf + 0 553.274 * * [simplify]: Extracting #2: cost 6 inf + 0 553.274 * * [simplify]: Extracting #3: cost 10 inf + 0 553.274 * * [simplify]: Extracting #4: cost 20 inf + 0 553.274 * * [simplify]: Extracting #5: cost 124 inf + 0 553.274 * * [simplify]: Extracting #6: cost 245 inf + 1 553.275 * * [simplify]: Extracting #7: cost 255 inf + 2247 553.278 * * [simplify]: Extracting #8: cost 184 inf + 12289 553.284 * * [simplify]: Extracting #9: cost 92 inf + 39579 553.297 * * [simplify]: Extracting #10: cost 9 inf + 78549 553.312 * * [simplify]: Extracting #11: cost 1 inf + 84243 553.328 * * [simplify]: Extracting #12: cost 0 inf + 85708 553.345 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 553.345 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.346 * * * * [progress]: [ 1921 / 4754 ] simplifiying candidate # 553.346 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 553.346 * * [simplify]: iters left: 6 (39 enodes) 553.356 * * [simplify]: iters left: 5 (196 enodes) 553.398 * * [simplify]: Extracting #0: cost 1 inf + 0 553.398 * * [simplify]: Extracting #1: cost 3 inf + 0 553.398 * * [simplify]: Extracting #2: cost 6 inf + 0 553.398 * * [simplify]: Extracting #3: cost 10 inf + 0 553.398 * * [simplify]: Extracting #4: cost 20 inf + 0 553.398 * * [simplify]: Extracting #5: cost 113 inf + 0 553.399 * * [simplify]: Extracting #6: cost 241 inf + 44 553.400 * * [simplify]: Extracting #7: cost 250 inf + 3105 553.403 * * [simplify]: Extracting #8: cost 145 inf + 22958 553.416 * * [simplify]: Extracting #9: cost 35 inf + 58265 553.430 * * [simplify]: Extracting #10: cost 4 inf + 75588 553.446 * * [simplify]: Extracting #11: cost 0 inf + 80155 553.461 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 553.461 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.462 * * * * [progress]: [ 1922 / 4754 ] simplifiying candidate # 553.462 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 553.462 * * [simplify]: iters left: 6 (39 enodes) 553.472 * * [simplify]: iters left: 5 (194 enodes) 553.515 * * [simplify]: Extracting #0: cost 1 inf + 0 553.515 * * [simplify]: Extracting #1: cost 3 inf + 0 553.515 * * [simplify]: Extracting #2: cost 6 inf + 0 553.516 * * [simplify]: Extracting #3: cost 10 inf + 0 553.516 * * [simplify]: Extracting #4: cost 20 inf + 0 553.516 * * [simplify]: Extracting #5: cost 125 inf + 0 553.516 * * [simplify]: Extracting #6: cost 241 inf + 1 553.517 * * [simplify]: Extracting #7: cost 254 inf + 2207 553.519 * * [simplify]: Extracting #8: cost 187 inf + 11227 553.526 * * [simplify]: Extracting #9: cost 91 inf + 40804 553.539 * * [simplify]: Extracting #10: cost 13 inf + 77400 553.554 * * [simplify]: Extracting #11: cost 1 inf + 83871 553.573 * * [simplify]: Extracting #12: cost 0 inf + 85296 553.588 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 553.588 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.589 * * * * [progress]: [ 1923 / 4754 ] simplifiying candidate # 553.589 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 553.589 * * [simplify]: iters left: 6 (39 enodes) 553.599 * * [simplify]: iters left: 5 (196 enodes) 553.644 * * [simplify]: Extracting #0: cost 1 inf + 0 553.644 * * [simplify]: Extracting #1: cost 3 inf + 0 553.644 * * [simplify]: Extracting #2: cost 6 inf + 0 553.644 * * [simplify]: Extracting #3: cost 10 inf + 0 553.644 * * [simplify]: Extracting #4: cost 20 inf + 0 553.644 * * [simplify]: Extracting #5: cost 112 inf + 0 553.645 * * [simplify]: Extracting #6: cost 241 inf + 44 553.646 * * [simplify]: Extracting #7: cost 250 inf + 3105 553.649 * * [simplify]: Extracting #8: cost 149 inf + 22046 553.658 * * [simplify]: Extracting #9: cost 41 inf + 56098 553.672 * * [simplify]: Extracting #10: cost 3 inf + 77253 553.687 * * [simplify]: Extracting #11: cost 0 inf + 80395 553.702 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 553.702 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.703 * * * * [progress]: [ 1924 / 4754 ] simplifiying candidate # 553.703 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 553.703 * * [simplify]: iters left: 6 (49 enodes) 553.717 * * [simplify]: iters left: 5 (248 enodes) 553.773 * * [simplify]: Extracting #0: cost 1 inf + 0 553.773 * * [simplify]: Extracting #1: cost 3 inf + 0 553.773 * * [simplify]: Extracting #2: cost 6 inf + 0 553.773 * * [simplify]: Extracting #3: cost 10 inf + 0 553.773 * * [simplify]: Extracting #4: cost 16 inf + 0 553.773 * * [simplify]: Extracting #5: cost 114 inf + 0 553.774 * * [simplify]: Extracting #6: cost 288 inf + 0 553.775 * * [simplify]: Extracting #7: cost 321 inf + 2084 553.779 * * [simplify]: Extracting #8: cost 205 inf + 26519 553.790 * * [simplify]: Extracting #9: cost 127 inf + 51003 553.803 * * [simplify]: Extracting #10: cost 45 inf + 84840 553.822 * * [simplify]: Extracting #11: cost 8 inf + 107939 553.842 * * [simplify]: Extracting #12: cost 2 inf + 115129 553.862 * * [simplify]: Extracting #13: cost 0 inf + 118579 553.885 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 553.885 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 553.885 * * * * [progress]: [ 1925 / 4754 ] simplifiying candidate # 553.886 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 553.886 * * [simplify]: iters left: 6 (47 enodes) 553.898 * * [simplify]: iters left: 5 (236 enodes) 553.952 * * [simplify]: Extracting #0: cost 1 inf + 0 553.952 * * [simplify]: Extracting #1: cost 3 inf + 0 553.952 * * [simplify]: Extracting #2: cost 6 inf + 0 553.952 * * [simplify]: Extracting #3: cost 10 inf + 0 553.952 * * [simplify]: Extracting #4: cost 16 inf + 0 553.952 * * [simplify]: Extracting #5: cost 110 inf + 0 553.953 * * [simplify]: Extracting #6: cost 273 inf + 0 553.954 * * [simplify]: Extracting #7: cost 283 inf + 3217 553.957 * * [simplify]: Extracting #8: cost 214 inf + 15340 553.963 * * [simplify]: Extracting #9: cost 140 inf + 40617 553.977 * * [simplify]: Extracting #10: cost 31 inf + 88716 553.996 * * [simplify]: Extracting #11: cost 5 inf + 106151 554.018 * * [simplify]: Extracting #12: cost 0 inf + 113316 554.038 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 554.038 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.038 * * * * [progress]: [ 1926 / 4754 ] simplifiying candidate # 554.039 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 554.039 * * [simplify]: iters left: 6 (49 enodes) 554.052 * * [simplify]: iters left: 5 (246 enodes) 554.111 * * [simplify]: Extracting #0: cost 1 inf + 0 554.111 * * [simplify]: Extracting #1: cost 3 inf + 0 554.111 * * [simplify]: Extracting #2: cost 6 inf + 0 554.111 * * [simplify]: Extracting #3: cost 10 inf + 0 554.111 * * [simplify]: Extracting #4: cost 16 inf + 0 554.111 * * [simplify]: Extracting #5: cost 119 inf + 0 554.111 * * [simplify]: Extracting #6: cost 282 inf + 0 554.113 * * [simplify]: Extracting #7: cost 314 inf + 1637 554.115 * * [simplify]: Extracting #8: cost 238 inf + 13406 554.122 * * [simplify]: Extracting #9: cost 142 inf + 45236 554.137 * * [simplify]: Extracting #10: cost 36 inf + 91605 554.156 * * [simplify]: Extracting #11: cost 2 inf + 115295 554.180 * * [simplify]: Extracting #12: cost 0 inf + 118665 554.201 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))))) 554.201 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.201 * * * * [progress]: [ 1927 / 4754 ] simplifiying candidate # 554.202 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 554.202 * * [simplify]: iters left: 6 (49 enodes) 554.214 * * [simplify]: iters left: 5 (248 enodes) 554.271 * * [simplify]: Extracting #0: cost 1 inf + 0 554.271 * * [simplify]: Extracting #1: cost 3 inf + 0 554.271 * * [simplify]: Extracting #2: cost 6 inf + 0 554.271 * * [simplify]: Extracting #3: cost 10 inf + 0 554.271 * * [simplify]: Extracting #4: cost 16 inf + 0 554.271 * * [simplify]: Extracting #5: cost 111 inf + 0 554.272 * * [simplify]: Extracting #6: cost 280 inf + 0 554.273 * * [simplify]: Extracting #7: cost 296 inf + 2689 554.277 * * [simplify]: Extracting #8: cost 190 inf + 23545 554.284 * * [simplify]: Extracting #9: cost 123 inf + 45433 554.297 * * [simplify]: Extracting #10: cost 43 inf + 75593 554.315 * * [simplify]: Extracting #11: cost 14 inf + 90065 554.332 * * [simplify]: Extracting #12: cost 2 inf + 100485 554.351 * * [simplify]: Extracting #13: cost 0 inf + 103935 554.369 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 554.370 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.370 * * * * [progress]: [ 1928 / 4754 ] simplifiying candidate # 554.370 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 554.371 * * [simplify]: iters left: 6 (49 enodes) 554.384 * * [simplify]: iters left: 5 (248 enodes) 554.438 * * [simplify]: Extracting #0: cost 1 inf + 0 554.439 * * [simplify]: Extracting #1: cost 3 inf + 0 554.439 * * [simplify]: Extracting #2: cost 6 inf + 0 554.439 * * [simplify]: Extracting #3: cost 10 inf + 0 554.439 * * [simplify]: Extracting #4: cost 20 inf + 0 554.439 * * [simplify]: Extracting #5: cost 135 inf + 0 554.439 * * [simplify]: Extracting #6: cost 294 inf + 1 554.441 * * [simplify]: Extracting #7: cost 305 inf + 3298 554.445 * * [simplify]: Extracting #8: cost 203 inf + 23392 554.452 * * [simplify]: Extracting #9: cost 133 inf + 46305 554.468 * * [simplify]: Extracting #10: cost 38 inf + 88754 554.487 * * [simplify]: Extracting #11: cost 2 inf + 110240 554.507 * * [simplify]: Extracting #12: cost 0 inf + 113690 554.526 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 554.527 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.527 * * * * [progress]: [ 1929 / 4754 ] simplifiying candidate # 554.527 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 554.528 * * [simplify]: iters left: 6 (49 enodes) 554.542 * * [simplify]: iters left: 5 (248 enodes) 554.595 * * [simplify]: Extracting #0: cost 1 inf + 0 554.595 * * [simplify]: Extracting #1: cost 3 inf + 0 554.595 * * [simplify]: Extracting #2: cost 6 inf + 0 554.595 * * [simplify]: Extracting #3: cost 10 inf + 0 554.595 * * [simplify]: Extracting #4: cost 20 inf + 0 554.595 * * [simplify]: Extracting #5: cost 127 inf + 0 554.596 * * [simplify]: Extracting #6: cost 281 inf + 86 554.597 * * [simplify]: Extracting #7: cost 282 inf + 5531 554.601 * * [simplify]: Extracting #8: cost 201 inf + 19205 554.610 * * [simplify]: Extracting #9: cost 127 inf + 43784 554.624 * * [simplify]: Extracting #10: cost 28 inf + 83893 554.640 * * [simplify]: Extracting #11: cost 3 inf + 97705 554.658 * * [simplify]: Extracting #12: cost 0 inf + 102100 554.676 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 554.676 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.677 * * * * [progress]: [ 1930 / 4754 ] simplifiying candidate # 554.677 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 554.677 * * [simplify]: iters left: 6 (49 enodes) 554.692 * * [simplify]: iters left: 5 (248 enodes) 554.746 * * [simplify]: Extracting #0: cost 1 inf + 0 554.746 * * [simplify]: Extracting #1: cost 3 inf + 0 554.746 * * [simplify]: Extracting #2: cost 6 inf + 0 554.746 * * [simplify]: Extracting #3: cost 10 inf + 0 554.746 * * [simplify]: Extracting #4: cost 20 inf + 0 554.746 * * [simplify]: Extracting #5: cost 135 inf + 0 554.747 * * [simplify]: Extracting #6: cost 294 inf + 1 554.748 * * [simplify]: Extracting #7: cost 305 inf + 3257 554.751 * * [simplify]: Extracting #8: cost 207 inf + 21976 554.761 * * [simplify]: Extracting #9: cost 133 inf + 46945 554.775 * * [simplify]: Extracting #10: cost 38 inf + 89394 554.794 * * [simplify]: Extracting #11: cost 2 inf + 110880 554.814 * * [simplify]: Extracting #12: cost 0 inf + 114330 554.834 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 554.834 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.834 * * * * [progress]: [ 1931 / 4754 ] simplifiying candidate # 554.834 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 554.835 * * [simplify]: iters left: 6 (49 enodes) 554.849 * * [simplify]: iters left: 5 (248 enodes) 554.902 * * [simplify]: Extracting #0: cost 1 inf + 0 554.902 * * [simplify]: Extracting #1: cost 3 inf + 0 554.902 * * [simplify]: Extracting #2: cost 6 inf + 0 554.902 * * [simplify]: Extracting #3: cost 10 inf + 0 554.902 * * [simplify]: Extracting #4: cost 20 inf + 0 554.902 * * [simplify]: Extracting #5: cost 126 inf + 0 554.903 * * [simplify]: Extracting #6: cost 281 inf + 86 554.907 * * [simplify]: Extracting #7: cost 283 inf + 5289 554.910 * * [simplify]: Extracting #8: cost 204 inf + 18600 554.917 * * [simplify]: Extracting #9: cost 125 inf + 44975 554.931 * * [simplify]: Extracting #10: cost 27 inf + 84640 554.948 * * [simplify]: Extracting #11: cost 3 inf + 97945 554.966 * * [simplify]: Extracting #12: cost 0 inf + 102340 554.985 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 554.985 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 554.986 * * * * [progress]: [ 1932 / 4754 ] simplifiying candidate # 554.986 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 554.986 * * [simplify]: iters left: 6 (42 enodes) 554.997 * * [simplify]: iters left: 5 (209 enodes) 555.043 * * [simplify]: Extracting #0: cost 1 inf + 0 555.043 * * [simplify]: Extracting #1: cost 3 inf + 0 555.043 * * [simplify]: Extracting #2: cost 6 inf + 0 555.043 * * [simplify]: Extracting #3: cost 10 inf + 0 555.043 * * [simplify]: Extracting #4: cost 16 inf + 0 555.044 * * [simplify]: Extracting #5: cost 107 inf + 0 555.044 * * [simplify]: Extracting #6: cost 266 inf + 0 555.045 * * [simplify]: Extracting #7: cost 297 inf + 1636 555.047 * * [simplify]: Extracting #8: cost 218 inf + 12237 555.056 * * [simplify]: Extracting #9: cost 115 inf + 43084 555.071 * * [simplify]: Extracting #10: cost 23 inf + 88052 555.089 * * [simplify]: Extracting #11: cost 0 inf + 101119 555.106 * * [simplify]: Extracting #12: cost 0 inf + 100599 555.125 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 555.125 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.125 * * * * [progress]: [ 1933 / 4754 ] simplifiying candidate # 555.126 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 555.126 * * [simplify]: iters left: 6 (40 enodes) 555.137 * * [simplify]: iters left: 5 (195 enodes) 555.178 * * [simplify]: Extracting #0: cost 1 inf + 0 555.178 * * [simplify]: Extracting #1: cost 3 inf + 0 555.178 * * [simplify]: Extracting #2: cost 6 inf + 0 555.178 * * [simplify]: Extracting #3: cost 10 inf + 0 555.178 * * [simplify]: Extracting #4: cost 16 inf + 0 555.178 * * [simplify]: Extracting #5: cost 101 inf + 0 555.178 * * [simplify]: Extracting #6: cost 240 inf + 0 555.179 * * [simplify]: Extracting #7: cost 250 inf + 2285 555.182 * * [simplify]: Extracting #8: cost 158 inf + 19486 555.193 * * [simplify]: Extracting #9: cost 42 inf + 64132 555.210 * * [simplify]: Extracting #10: cost 5 inf + 83404 555.226 * * [simplify]: Extracting #11: cost 0 inf + 87863 555.241 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))))))) 555.241 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.242 * * * * [progress]: [ 1934 / 4754 ] simplifiying candidate # 555.242 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 555.242 * * [simplify]: iters left: 6 (42 enodes) 555.253 * * [simplify]: iters left: 5 (207 enodes) 555.300 * * [simplify]: Extracting #0: cost 1 inf + 0 555.300 * * [simplify]: Extracting #1: cost 3 inf + 0 555.300 * * [simplify]: Extracting #2: cost 6 inf + 0 555.300 * * [simplify]: Extracting #3: cost 10 inf + 0 555.300 * * [simplify]: Extracting #4: cost 16 inf + 0 555.300 * * [simplify]: Extracting #5: cost 109 inf + 0 555.301 * * [simplify]: Extracting #6: cost 245 inf + 0 555.302 * * [simplify]: Extracting #7: cost 273 inf + 1757 555.304 * * [simplify]: Extracting #8: cost 202 inf + 11271 555.311 * * [simplify]: Extracting #9: cost 109 inf + 40203 555.327 * * [simplify]: Extracting #10: cost 21 inf + 82717 555.344 * * [simplify]: Extracting #11: cost 0 inf + 93840 555.363 * * [simplify]: Extracting #12: cost 0 inf + 93440 555.380 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 555.380 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.381 * * * * [progress]: [ 1935 / 4754 ] simplifiying candidate # 555.381 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 555.381 * * [simplify]: iters left: 6 (42 enodes) 555.391 * * [simplify]: iters left: 5 (209 enodes) 555.439 * * [simplify]: Extracting #0: cost 1 inf + 0 555.439 * * [simplify]: Extracting #1: cost 3 inf + 0 555.439 * * [simplify]: Extracting #2: cost 6 inf + 0 555.439 * * [simplify]: Extracting #3: cost 10 inf + 0 555.439 * * [simplify]: Extracting #4: cost 16 inf + 0 555.439 * * [simplify]: Extracting #5: cost 104 inf + 0 555.440 * * [simplify]: Extracting #6: cost 259 inf + 0 555.440 * * [simplify]: Extracting #7: cost 274 inf + 1598 555.443 * * [simplify]: Extracting #8: cost 189 inf + 13223 555.449 * * [simplify]: Extracting #9: cost 104 inf + 38801 555.462 * * [simplify]: Extracting #10: cost 15 inf + 79791 555.478 * * [simplify]: Extracting #11: cost 0 inf + 88180 555.494 * * [simplify]: Extracting #12: cost 0 inf + 87300 555.510 * * [simplify]: Extracting #13: cost 0 inf + 87060 555.527 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 555.527 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.528 * * * * [progress]: [ 1936 / 4754 ] simplifiying candidate # 555.528 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 555.528 * * [simplify]: iters left: 6 (42 enodes) 555.539 * * [simplify]: iters left: 5 (209 enodes) 555.586 * * [simplify]: Extracting #0: cost 1 inf + 0 555.586 * * [simplify]: Extracting #1: cost 3 inf + 0 555.586 * * [simplify]: Extracting #2: cost 6 inf + 0 555.586 * * [simplify]: Extracting #3: cost 10 inf + 0 555.586 * * [simplify]: Extracting #4: cost 20 inf + 0 555.586 * * [simplify]: Extracting #5: cost 128 inf + 0 555.587 * * [simplify]: Extracting #6: cost 272 inf + 1 555.588 * * [simplify]: Extracting #7: cost 279 inf + 2732 555.591 * * [simplify]: Extracting #8: cost 190 inf + 17451 555.597 * * [simplify]: Extracting #9: cost 110 inf + 40961 555.612 * * [simplify]: Extracting #10: cost 13 inf + 88053 555.629 * * [simplify]: Extracting #11: cost 0 inf + 94430 555.646 * * [simplify]: Extracting #12: cost 0 inf + 94350 555.663 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 555.663 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.663 * * * * [progress]: [ 1937 / 4754 ] simplifiying candidate # 555.664 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 555.665 * * [simplify]: iters left: 6 (42 enodes) 555.676 * * [simplify]: iters left: 5 (209 enodes) 555.721 * * [simplify]: Extracting #0: cost 1 inf + 0 555.721 * * [simplify]: Extracting #1: cost 3 inf + 0 555.721 * * [simplify]: Extracting #2: cost 6 inf + 0 555.721 * * [simplify]: Extracting #3: cost 10 inf + 0 555.721 * * [simplify]: Extracting #4: cost 20 inf + 0 555.722 * * [simplify]: Extracting #5: cost 120 inf + 0 555.722 * * [simplify]: Extracting #6: cost 261 inf + 44 555.723 * * [simplify]: Extracting #7: cost 268 inf + 3028 555.726 * * [simplify]: Extracting #8: cost 191 inf + 13323 555.734 * * [simplify]: Extracting #9: cost 95 inf + 41086 555.747 * * [simplify]: Extracting #10: cost 13 inf + 75913 555.762 * * [simplify]: Extracting #11: cost 0 inf + 86225 555.778 * * [simplify]: Extracting #12: cost 0 inf + 85425 555.796 * * [simplify]: Extracting #13: cost 0 inf + 85265 555.813 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 555.813 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.814 * * * * [progress]: [ 1938 / 4754 ] simplifiying candidate # 555.814 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 555.815 * * [simplify]: iters left: 6 (42 enodes) 555.827 * * [simplify]: iters left: 5 (209 enodes) 555.871 * * [simplify]: Extracting #0: cost 1 inf + 0 555.871 * * [simplify]: Extracting #1: cost 3 inf + 0 555.871 * * [simplify]: Extracting #2: cost 6 inf + 0 555.871 * * [simplify]: Extracting #3: cost 10 inf + 0 555.871 * * [simplify]: Extracting #4: cost 20 inf + 0 555.871 * * [simplify]: Extracting #5: cost 128 inf + 0 555.872 * * [simplify]: Extracting #6: cost 272 inf + 1 555.873 * * [simplify]: Extracting #7: cost 282 inf + 2085 555.875 * * [simplify]: Extracting #8: cost 209 inf + 11439 555.881 * * [simplify]: Extracting #9: cost 114 inf + 40360 555.898 * * [simplify]: Extracting #10: cost 16 inf + 88911 555.914 * * [simplify]: Extracting #11: cost 0 inf + 95070 555.931 * * [simplify]: Extracting #12: cost 0 inf + 94990 555.948 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 555.948 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 555.949 * * * * [progress]: [ 1939 / 4754 ] simplifiying candidate # 555.949 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 555.949 * * [simplify]: iters left: 6 (42 enodes) 555.960 * * [simplify]: iters left: 5 (209 enodes) 556.005 * * [simplify]: Extracting #0: cost 1 inf + 0 556.005 * * [simplify]: Extracting #1: cost 3 inf + 0 556.005 * * [simplify]: Extracting #2: cost 6 inf + 0 556.005 * * [simplify]: Extracting #3: cost 10 inf + 0 556.005 * * [simplify]: Extracting #4: cost 20 inf + 0 556.006 * * [simplify]: Extracting #5: cost 119 inf + 0 556.006 * * [simplify]: Extracting #6: cost 261 inf + 44 556.007 * * [simplify]: Extracting #7: cost 270 inf + 2738 556.010 * * [simplify]: Extracting #8: cost 190 inf + 13565 556.016 * * [simplify]: Extracting #9: cost 99 inf + 40110 556.029 * * [simplify]: Extracting #10: cost 14 inf + 75488 556.046 * * [simplify]: Extracting #11: cost 2 inf + 84095 556.061 * * [simplify]: Extracting #12: cost 0 inf + 85745 556.077 * * [simplify]: Extracting #13: cost 0 inf + 85585 556.093 * * [simplify]: Extracting #14: cost 0 inf + 85505 556.108 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 556.108 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 556.109 * * * * [progress]: [ 1940 / 4754 ] simplifiying candidate # 556.109 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 556.109 * * [simplify]: iters left: 6 (49 enodes) 556.123 * * [simplify]: iters left: 5 (248 enodes) 556.178 * * [simplify]: Extracting #0: cost 1 inf + 0 556.178 * * [simplify]: Extracting #1: cost 3 inf + 0 556.178 * * [simplify]: Extracting #2: cost 6 inf + 0 556.178 * * [simplify]: Extracting #3: cost 10 inf + 0 556.178 * * [simplify]: Extracting #4: cost 16 inf + 0 556.179 * * [simplify]: Extracting #5: cost 114 inf + 0 556.179 * * [simplify]: Extracting #6: cost 292 inf + 0 556.180 * * [simplify]: Extracting #7: cost 324 inf + 2289 556.184 * * [simplify]: Extracting #8: cost 208 inf + 26719 556.195 * * [simplify]: Extracting #9: cost 128 inf + 51997 556.210 * * [simplify]: Extracting #10: cost 34 inf + 94328 556.230 * * [simplify]: Extracting #11: cost 2 inf + 114489 556.250 * * [simplify]: Extracting #12: cost 0 inf + 117939 556.272 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 556.272 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 556.272 * * * * [progress]: [ 1941 / 4754 ] simplifiying candidate # 556.273 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 556.273 * * [simplify]: iters left: 6 (47 enodes) 556.285 * * [simplify]: iters left: 5 (236 enodes) 556.336 * * [simplify]: Extracting #0: cost 1 inf + 0 556.337 * * [simplify]: Extracting #1: cost 3 inf + 0 556.337 * * [simplify]: Extracting #2: cost 6 inf + 0 556.337 * * [simplify]: Extracting #3: cost 10 inf + 0 556.337 * * [simplify]: Extracting #4: cost 16 inf + 0 556.337 * * [simplify]: Extracting #5: cost 110 inf + 0 556.337 * * [simplify]: Extracting #6: cost 277 inf + 0 556.341 * * [simplify]: Extracting #7: cost 291 inf + 2972 556.344 * * [simplify]: Extracting #8: cost 197 inf + 21877 556.355 * * [simplify]: Extracting #9: cost 66 inf + 72166 556.373 * * [simplify]: Extracting #10: cost 8 inf + 104184 556.393 * * [simplify]: Extracting #11: cost 0 inf + 112356 556.413 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 556.413 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 556.413 * * * * [progress]: [ 1942 / 4754 ] simplifiying candidate # 556.414 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 556.414 * * [simplify]: iters left: 6 (49 enodes) 556.429 * * [simplify]: iters left: 5 (246 enodes) 556.485 * * [simplify]: Extracting #0: cost 1 inf + 0 556.485 * * [simplify]: Extracting #1: cost 3 inf + 0 556.485 * * [simplify]: Extracting #2: cost 6 inf + 0 556.485 * * [simplify]: Extracting #3: cost 10 inf + 0 556.485 * * [simplify]: Extracting #4: cost 16 inf + 0 556.485 * * [simplify]: Extracting #5: cost 119 inf + 0 556.486 * * [simplify]: Extracting #6: cost 286 inf + 0 556.489 * * [simplify]: Extracting #7: cost 320 inf + 1595 556.492 * * [simplify]: Extracting #8: cost 239 inf + 14372 556.499 * * [simplify]: Extracting #9: cost 143 inf + 45425 556.514 * * [simplify]: Extracting #10: cost 23 inf + 98290 556.534 * * [simplify]: Extracting #11: cost 2 inf + 113375 556.555 * * [simplify]: Extracting #12: cost 0 inf + 116745 556.576 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))))) 556.576 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 556.577 * * * * [progress]: [ 1943 / 4754 ] simplifiying candidate # 556.577 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 556.577 * * [simplify]: iters left: 6 (49 enodes) 556.590 * * [simplify]: iters left: 5 (248 enodes) 556.647 * * [simplify]: Extracting #0: cost 1 inf + 0 556.647 * * [simplify]: Extracting #1: cost 3 inf + 0 556.647 * * [simplify]: Extracting #2: cost 6 inf + 0 556.647 * * [simplify]: Extracting #3: cost 10 inf + 0 556.647 * * [simplify]: Extracting #4: cost 16 inf + 0 556.647 * * [simplify]: Extracting #5: cost 111 inf + 0 556.648 * * [simplify]: Extracting #6: cost 284 inf + 0 556.649 * * [simplify]: Extracting #7: cost 302 inf + 2406 556.652 * * [simplify]: Extracting #8: cost 199 inf + 20201 556.660 * * [simplify]: Extracting #9: cost 122 inf + 44441 556.673 * * [simplify]: Extracting #10: cost 34 inf + 81339 556.691 * * [simplify]: Extracting #11: cost 2 inf + 99525 556.710 * * [simplify]: Extracting #12: cost 0 inf + 102975 556.731 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) 556.731 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 556.732 * * * * [progress]: [ 1944 / 4754 ] simplifiying candidate # 556.732 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 556.733 * * [simplify]: iters left: 6 (49 enodes) 556.745 * * [simplify]: iters left: 5 (248 enodes) 556.802 * * [simplify]: Extracting #0: cost 1 inf + 0 556.802 * * [simplify]: Extracting #1: cost 3 inf + 0 556.802 * * [simplify]: Extracting #2: cost 6 inf + 0 556.802 * * [simplify]: Extracting #3: cost 10 inf + 0 556.802 * * [simplify]: Extracting #4: cost 20 inf + 0 556.802 * * [simplify]: Extracting #5: cost 135 inf + 0 556.803 * * [simplify]: Extracting #6: cost 298 inf + 1 556.804 * * [simplify]: Extracting #7: cost 308 inf + 3501 556.808 * * [simplify]: Extracting #8: cost 209 inf + 23382 556.815 * * [simplify]: Extracting #9: cost 134 inf + 46301 556.829 * * [simplify]: Extracting #10: cost 32 inf + 91317 556.848 * * [simplify]: Extracting #11: cost 2 inf + 109600 556.870 * * [simplify]: Extracting #12: cost 0 inf + 113050 556.890 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 556.890 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 556.890 * * * * [progress]: [ 1945 / 4754 ] simplifiying candidate # 556.890 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 556.891 * * [simplify]: iters left: 6 (49 enodes) 556.903 * * [simplify]: iters left: 5 (248 enodes) 556.958 * * [simplify]: Extracting #0: cost 1 inf + 0 556.958 * * [simplify]: Extracting #1: cost 3 inf + 0 556.958 * * [simplify]: Extracting #2: cost 6 inf + 0 556.958 * * [simplify]: Extracting #3: cost 10 inf + 0 556.959 * * [simplify]: Extracting #4: cost 20 inf + 0 556.959 * * [simplify]: Extracting #5: cost 127 inf + 0 556.959 * * [simplify]: Extracting #6: cost 285 inf + 86 556.961 * * [simplify]: Extracting #7: cost 285 inf + 5658 556.964 * * [simplify]: Extracting #8: cost 208 inf + 18921 556.971 * * [simplify]: Extracting #9: cost 123 inf + 44981 556.986 * * [simplify]: Extracting #10: cost 27 inf + 85279 557.003 * * [simplify]: Extracting #11: cost 3 inf + 97705 557.023 * * [simplify]: Extracting #12: cost 0 inf + 102100 557.042 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 557.042 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.043 * * * * [progress]: [ 1946 / 4754 ] simplifiying candidate # 557.043 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 557.043 * * [simplify]: iters left: 6 (49 enodes) 557.057 * * [simplify]: iters left: 5 (248 enodes) 557.115 * * [simplify]: Extracting #0: cost 1 inf + 0 557.115 * * [simplify]: Extracting #1: cost 3 inf + 0 557.115 * * [simplify]: Extracting #2: cost 6 inf + 0 557.115 * * [simplify]: Extracting #3: cost 10 inf + 0 557.115 * * [simplify]: Extracting #4: cost 20 inf + 0 557.115 * * [simplify]: Extracting #5: cost 135 inf + 0 557.116 * * [simplify]: Extracting #6: cost 298 inf + 1 557.117 * * [simplify]: Extracting #7: cost 310 inf + 3136 557.121 * * [simplify]: Extracting #8: cost 210 inf + 23017 557.129 * * [simplify]: Extracting #9: cost 137 inf + 45761 557.143 * * [simplify]: Extracting #10: cost 33 inf + 91956 557.162 * * [simplify]: Extracting #11: cost 2 inf + 110240 557.184 * * [simplify]: Extracting #12: cost 0 inf + 113690 557.204 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 557.204 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.205 * * * * [progress]: [ 1947 / 4754 ] simplifiying candidate # 557.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 557.205 * * [simplify]: iters left: 6 (49 enodes) 557.218 * * [simplify]: iters left: 5 (248 enodes) 557.273 * * [simplify]: Extracting #0: cost 1 inf + 0 557.273 * * [simplify]: Extracting #1: cost 3 inf + 0 557.273 * * [simplify]: Extracting #2: cost 6 inf + 0 557.273 * * [simplify]: Extracting #3: cost 10 inf + 0 557.273 * * [simplify]: Extracting #4: cost 20 inf + 0 557.273 * * [simplify]: Extracting #5: cost 126 inf + 0 557.273 * * [simplify]: Extracting #6: cost 285 inf + 86 557.275 * * [simplify]: Extracting #7: cost 286 inf + 5735 557.279 * * [simplify]: Extracting #8: cost 199 inf + 24276 557.287 * * [simplify]: Extracting #9: cost 120 inf + 45993 557.301 * * [simplify]: Extracting #10: cost 29 inf + 84298 557.320 * * [simplify]: Extracting #11: cost 3 inf + 97945 557.338 * * [simplify]: Extracting #12: cost 0 inf + 102340 557.357 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 557.357 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.358 * * * * [progress]: [ 1948 / 4754 ] simplifiying candidate # 557.358 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 557.358 * * [simplify]: iters left: 6 (42 enodes) 557.370 * * [simplify]: iters left: 5 (210 enodes) 557.418 * * [simplify]: Extracting #0: cost 1 inf + 0 557.418 * * [simplify]: Extracting #1: cost 3 inf + 0 557.418 * * [simplify]: Extracting #2: cost 6 inf + 0 557.418 * * [simplify]: Extracting #3: cost 10 inf + 0 557.418 * * [simplify]: Extracting #4: cost 16 inf + 0 557.418 * * [simplify]: Extracting #5: cost 107 inf + 0 557.419 * * [simplify]: Extracting #6: cost 266 inf + 0 557.420 * * [simplify]: Extracting #7: cost 294 inf + 2246 557.422 * * [simplify]: Extracting #8: cost 213 inf + 14341 557.428 * * [simplify]: Extracting #9: cost 143 inf + 33548 557.436 * * [simplify]: Extracting #10: cost 101 inf + 46681 557.451 * * [simplify]: Extracting #11: cost 20 inf + 89126 557.471 * * [simplify]: Extracting #12: cost 0 inf + 101706 557.490 * * [simplify]: Extracting #13: cost 0 inf + 100866 557.508 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 557.509 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.509 * * * * [progress]: [ 1949 / 4754 ] simplifiying candidate # 557.509 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 557.510 * * [simplify]: iters left: 6 (40 enodes) 557.520 * * [simplify]: iters left: 5 (197 enodes) 557.565 * * [simplify]: Extracting #0: cost 1 inf + 0 557.565 * * [simplify]: Extracting #1: cost 3 inf + 0 557.565 * * [simplify]: Extracting #2: cost 6 inf + 0 557.565 * * [simplify]: Extracting #3: cost 10 inf + 0 557.565 * * [simplify]: Extracting #4: cost 16 inf + 0 557.565 * * [simplify]: Extracting #5: cost 101 inf + 0 557.566 * * [simplify]: Extracting #6: cost 247 inf + 0 557.567 * * [simplify]: Extracting #7: cost 263 inf + 1877 557.569 * * [simplify]: Extracting #8: cost 197 inf + 10338 557.574 * * [simplify]: Extracting #9: cost 111 inf + 36918 557.587 * * [simplify]: Extracting #10: cost 24 inf + 75771 557.602 * * [simplify]: Extracting #11: cost 5 inf + 85500 557.618 * * [simplify]: Extracting #12: cost 2 inf + 88855 557.638 * * [simplify]: Extracting #13: cost 0 inf + 91745 557.655 * * [simplify]: Extracting #14: cost 0 inf + 91665 557.673 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) 557.673 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.674 * * * * [progress]: [ 1950 / 4754 ] simplifiying candidate # 557.674 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 557.674 * * [simplify]: iters left: 6 (42 enodes) 557.686 * * [simplify]: iters left: 5 (208 enodes) 557.735 * * [simplify]: Extracting #0: cost 1 inf + 0 557.735 * * [simplify]: Extracting #1: cost 3 inf + 0 557.735 * * [simplify]: Extracting #2: cost 6 inf + 0 557.735 * * [simplify]: Extracting #3: cost 10 inf + 0 557.735 * * [simplify]: Extracting #4: cost 16 inf + 0 557.735 * * [simplify]: Extracting #5: cost 112 inf + 0 557.736 * * [simplify]: Extracting #6: cost 258 inf + 0 557.737 * * [simplify]: Extracting #7: cost 285 inf + 1759 557.739 * * [simplify]: Extracting #8: cost 212 inf + 11278 557.745 * * [simplify]: Extracting #9: cost 118 inf + 41490 557.760 * * [simplify]: Extracting #10: cost 23 inf + 86694 557.780 * * [simplify]: Extracting #11: cost 0 inf + 99363 557.798 * * [simplify]: Extracting #12: cost 0 inf + 98603 557.816 * * [simplify]: Extracting #13: cost 0 inf + 98523 557.834 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 557.834 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.835 * * * * [progress]: [ 1951 / 4754 ] simplifiying candidate # 557.835 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 557.835 * * [simplify]: iters left: 6 (42 enodes) 557.846 * * [simplify]: iters left: 5 (210 enodes) 557.893 * * [simplify]: Extracting #0: cost 1 inf + 0 557.893 * * [simplify]: Extracting #1: cost 3 inf + 0 557.893 * * [simplify]: Extracting #2: cost 6 inf + 0 557.893 * * [simplify]: Extracting #3: cost 10 inf + 0 557.893 * * [simplify]: Extracting #4: cost 16 inf + 0 557.893 * * [simplify]: Extracting #5: cost 104 inf + 0 557.894 * * [simplify]: Extracting #6: cost 258 inf + 0 557.895 * * [simplify]: Extracting #7: cost 275 inf + 1757 557.897 * * [simplify]: Extracting #8: cost 196 inf + 12327 557.903 * * [simplify]: Extracting #9: cost 103 inf + 39200 557.916 * * [simplify]: Extracting #10: cost 17 inf + 79025 557.935 * * [simplify]: Extracting #11: cost 0 inf + 87862 557.952 * * [simplify]: Extracting #12: cost 0 inf + 87382 557.969 * * [simplify]: Extracting #13: cost 0 inf + 87302 557.985 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 557.986 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 557.986 * * * * [progress]: [ 1952 / 4754 ] simplifiying candidate # 557.986 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 557.987 * * [simplify]: iters left: 6 (42 enodes) 557.998 * * [simplify]: iters left: 5 (210 enodes) 558.045 * * [simplify]: Extracting #0: cost 1 inf + 0 558.045 * * [simplify]: Extracting #1: cost 3 inf + 0 558.045 * * [simplify]: Extracting #2: cost 6 inf + 0 558.045 * * [simplify]: Extracting #3: cost 10 inf + 0 558.045 * * [simplify]: Extracting #4: cost 20 inf + 0 558.045 * * [simplify]: Extracting #5: cost 128 inf + 0 558.045 * * [simplify]: Extracting #6: cost 272 inf + 1 558.046 * * [simplify]: Extracting #7: cost 283 inf + 2326 558.050 * * [simplify]: Extracting #8: cost 181 inf + 20718 558.061 * * [simplify]: Extracting #9: cost 44 inf + 68815 558.077 * * [simplify]: Extracting #10: cost 6 inf + 90842 558.096 * * [simplify]: Extracting #11: cost 0 inf + 94937 558.114 * * [simplify]: Extracting #12: cost 0 inf + 94777 558.131 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 558.131 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 558.132 * * * * [progress]: [ 1953 / 4754 ] simplifiying candidate # 558.132 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 558.132 * * [simplify]: iters left: 6 (42 enodes) 558.143 * * [simplify]: iters left: 5 (210 enodes) 558.189 * * [simplify]: Extracting #0: cost 1 inf + 0 558.189 * * [simplify]: Extracting #1: cost 3 inf + 0 558.189 * * [simplify]: Extracting #2: cost 6 inf + 0 558.189 * * [simplify]: Extracting #3: cost 10 inf + 0 558.189 * * [simplify]: Extracting #4: cost 20 inf + 0 558.190 * * [simplify]: Extracting #5: cost 120 inf + 0 558.190 * * [simplify]: Extracting #6: cost 260 inf + 44 558.191 * * [simplify]: Extracting #7: cost 261 inf + 4286 558.194 * * [simplify]: Extracting #8: cost 183 inf + 15426 558.200 * * [simplify]: Extracting #9: cost 95 inf + 40651 558.213 * * [simplify]: Extracting #10: cost 9 inf + 81455 558.230 * * [simplify]: Extracting #11: cost 0 inf + 86067 558.248 * * [simplify]: Extracting #12: cost 0 inf + 85587 558.264 * * [simplify]: Extracting #13: cost 0 inf + 85507 558.280 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 558.281 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 558.281 * * * * [progress]: [ 1954 / 4754 ] simplifiying candidate # 558.281 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 558.282 * * [simplify]: iters left: 6 (42 enodes) 558.293 * * [simplify]: iters left: 5 (210 enodes) 558.342 * * [simplify]: Extracting #0: cost 1 inf + 0 558.342 * * [simplify]: Extracting #1: cost 3 inf + 0 558.342 * * [simplify]: Extracting #2: cost 6 inf + 0 558.342 * * [simplify]: Extracting #3: cost 10 inf + 0 558.342 * * [simplify]: Extracting #4: cost 20 inf + 0 558.342 * * [simplify]: Extracting #5: cost 128 inf + 0 558.343 * * [simplify]: Extracting #6: cost 272 inf + 1 558.344 * * [simplify]: Extracting #7: cost 283 inf + 2326 558.347 * * [simplify]: Extracting #8: cost 182 inf + 20973 558.358 * * [simplify]: Extracting #9: cost 47 inf + 68483 558.374 * * [simplify]: Extracting #10: cost 6 inf + 91482 558.392 * * [simplify]: Extracting #11: cost 0 inf + 95577 558.412 * * [simplify]: Extracting #12: cost 0 inf + 95417 558.429 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 558.429 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 558.430 * * * * [progress]: [ 1955 / 4754 ] simplifiying candidate # 558.430 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 558.430 * * [simplify]: iters left: 6 (42 enodes) 558.441 * * [simplify]: iters left: 5 (210 enodes) 558.487 * * [simplify]: Extracting #0: cost 1 inf + 0 558.487 * * [simplify]: Extracting #1: cost 3 inf + 0 558.487 * * [simplify]: Extracting #2: cost 6 inf + 0 558.487 * * [simplify]: Extracting #3: cost 10 inf + 0 558.487 * * [simplify]: Extracting #4: cost 20 inf + 0 558.487 * * [simplify]: Extracting #5: cost 119 inf + 0 558.488 * * [simplify]: Extracting #6: cost 260 inf + 44 558.489 * * [simplify]: Extracting #7: cost 263 inf + 4039 558.492 * * [simplify]: Extracting #8: cost 187 inf + 14650 558.498 * * [simplify]: Extracting #9: cost 98 inf + 40039 558.511 * * [simplify]: Extracting #10: cost 9 inf + 80415 558.527 * * [simplify]: Extracting #11: cost 0 inf + 85147 558.542 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 558.542 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 558.543 * * * * [progress]: [ 1956 / 4754 ] simplifiying candidate # 558.543 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 558.543 * * [simplify]: iters left: 6 (42 enodes) 558.556 * * [simplify]: iters left: 5 (212 enodes) 558.606 * * [simplify]: Extracting #0: cost 1 inf + 0 558.606 * * [simplify]: Extracting #1: cost 3 inf + 0 558.606 * * [simplify]: Extracting #2: cost 6 inf + 0 558.606 * * [simplify]: Extracting #3: cost 10 inf + 0 558.606 * * [simplify]: Extracting #4: cost 16 inf + 0 558.606 * * [simplify]: Extracting #5: cost 101 inf + 0 558.606 * * [simplify]: Extracting #6: cost 260 inf + 2 558.608 * * [simplify]: Extracting #7: cost 264 inf + 3301 558.610 * * [simplify]: Extracting #8: cost 176 inf + 17405 558.619 * * [simplify]: Extracting #9: cost 42 inf + 58583 558.635 * * [simplify]: Extracting #10: cost 3 inf + 80016 558.651 * * [simplify]: Extracting #11: cost 0 inf + 83622 558.666 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 558.666 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 558.667 * * * * [progress]: [ 1957 / 4754 ] simplifiying candidate # 558.667 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 558.667 * * [simplify]: iters left: 6 (42 enodes) 558.678 * * [simplify]: iters left: 5 (210 enodes) 558.724 * * [simplify]: Extracting #0: cost 1 inf + 0 558.724 * * [simplify]: Extracting #1: cost 3 inf + 0 558.724 * * [simplify]: Extracting #2: cost 6 inf + 0 558.724 * * [simplify]: Extracting #3: cost 10 inf + 0 558.724 * * [simplify]: Extracting #4: cost 19 inf + 0 558.724 * * [simplify]: Extracting #5: cost 108 inf + 0 558.725 * * [simplify]: Extracting #6: cost 261 inf + 0 558.726 * * [simplify]: Extracting #7: cost 263 inf + 4063 558.729 * * [simplify]: Extracting #8: cost 181 inf + 14270 558.734 * * [simplify]: Extracting #9: cost 111 inf + 33563 558.746 * * [simplify]: Extracting #10: cost 21 inf + 71795 558.760 * * [simplify]: Extracting #11: cost 0 inf + 81147 558.777 * * [simplify]: Extracting #12: cost 0 inf + 80987 558.792 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 558.792 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 558.792 * * * * [progress]: [ 1958 / 4754 ] simplifiying candidate # 558.793 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 558.793 * * [simplify]: iters left: 6 (48 enodes) 558.805 * * [simplify]: iters left: 5 (256 enodes) 558.867 * * [simplify]: Extracting #0: cost 1 inf + 0 558.867 * * [simplify]: Extracting #1: cost 3 inf + 0 558.867 * * [simplify]: Extracting #2: cost 6 inf + 0 558.867 * * [simplify]: Extracting #3: cost 10 inf + 0 558.867 * * [simplify]: Extracting #4: cost 16 inf + 0 558.867 * * [simplify]: Extracting #5: cost 120 inf + 0 558.868 * * [simplify]: Extracting #6: cost 314 inf + 0 558.870 * * [simplify]: Extracting #7: cost 352 inf + 5032 558.876 * * [simplify]: Extracting #8: cost 188 inf + 43306 558.893 * * [simplify]: Extracting #9: cost 53 inf + 96691 558.916 * * [simplify]: Extracting #10: cost 7 inf + 121715 558.941 * * [simplify]: Extracting #11: cost 2 inf + 126494 558.964 * * [simplify]: Extracting #12: cost 0 inf + 129744 558.987 * * [simplify]: Extracting #13: cost 0 inf + 129664 559.010 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 559.010 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 559.011 * * * * [progress]: [ 1959 / 4754 ] simplifiying candidate # 559.011 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 559.011 * * [simplify]: iters left: 6 (48 enodes) 559.025 * * [simplify]: iters left: 5 (250 enodes) 559.086 * * [simplify]: Extracting #0: cost 1 inf + 0 559.086 * * [simplify]: Extracting #1: cost 3 inf + 0 559.086 * * [simplify]: Extracting #2: cost 6 inf + 0 559.086 * * [simplify]: Extracting #3: cost 10 inf + 0 559.086 * * [simplify]: Extracting #4: cost 16 inf + 0 559.086 * * [simplify]: Extracting #5: cost 119 inf + 0 559.087 * * [simplify]: Extracting #6: cost 289 inf + 0 559.088 * * [simplify]: Extracting #7: cost 335 inf + 3983 559.095 * * [simplify]: Extracting #8: cost 177 inf + 43371 559.112 * * [simplify]: Extracting #9: cost 47 inf + 98352 559.133 * * [simplify]: Extracting #10: cost 10 inf + 118377 559.155 * * [simplify]: Extracting #11: cost 0 inf + 124427 559.179 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 559.179 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 559.180 * * * * [progress]: [ 1960 / 4754 ] simplifiying candidate # 559.180 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 559.180 * * [simplify]: iters left: 6 (46 enodes) 559.192 * * [simplify]: iters left: 5 (240 enodes) 559.250 * * [simplify]: Extracting #0: cost 1 inf + 0 559.250 * * [simplify]: Extracting #1: cost 3 inf + 0 559.250 * * [simplify]: Extracting #2: cost 6 inf + 0 559.250 * * [simplify]: Extracting #3: cost 10 inf + 0 559.250 * * [simplify]: Extracting #4: cost 16 inf + 0 559.250 * * [simplify]: Extracting #5: cost 114 inf + 0 559.251 * * [simplify]: Extracting #6: cost 280 inf + 0 559.252 * * [simplify]: Extracting #7: cost 316 inf + 2403 559.256 * * [simplify]: Extracting #8: cost 222 inf + 20295 559.264 * * [simplify]: Extracting #9: cost 119 inf + 52113 559.280 * * [simplify]: Extracting #10: cost 35 inf + 90611 559.299 * * [simplify]: Extracting #11: cost 3 inf + 107126 559.322 * * [simplify]: Extracting #12: cost 0 inf + 111601 559.342 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 559.342 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 559.343 * * * * [progress]: [ 1961 / 4754 ] simplifiying candidate # 559.343 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 559.343 * * [simplify]: iters left: 6 (48 enodes) 559.357 * * [simplify]: iters left: 5 (256 enodes) 559.419 * * [simplify]: Extracting #0: cost 1 inf + 0 559.419 * * [simplify]: Extracting #1: cost 3 inf + 0 559.419 * * [simplify]: Extracting #2: cost 6 inf + 0 559.419 * * [simplify]: Extracting #3: cost 10 inf + 0 559.419 * * [simplify]: Extracting #4: cost 16 inf + 0 559.419 * * [simplify]: Extracting #5: cost 118 inf + 0 559.420 * * [simplify]: Extracting #6: cost 302 inf + 0 559.421 * * [simplify]: Extracting #7: cost 336 inf + 1683 559.425 * * [simplify]: Extracting #8: cost 237 inf + 18256 559.436 * * [simplify]: Extracting #9: cost 97 inf + 65824 559.455 * * [simplify]: Extracting #10: cost 8 inf + 104757 559.483 * * [simplify]: Extracting #11: cost 0 inf + 112131 559.504 * * [simplify]: Extracting #12: cost 0 inf + 112011 559.524 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 559.524 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 559.525 * * * * [progress]: [ 1962 / 4754 ] simplifiying candidate # 559.525 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 559.526 * * [simplify]: iters left: 6 (48 enodes) 559.538 * * [simplify]: iters left: 5 (252 enodes) 559.596 * * [simplify]: Extracting #0: cost 1 inf + 0 559.596 * * [simplify]: Extracting #1: cost 3 inf + 0 559.596 * * [simplify]: Extracting #2: cost 6 inf + 0 559.596 * * [simplify]: Extracting #3: cost 10 inf + 0 559.596 * * [simplify]: Extracting #4: cost 20 inf + 0 559.596 * * [simplify]: Extracting #5: cost 138 inf + 0 559.597 * * [simplify]: Extracting #6: cost 306 inf + 1 559.598 * * [simplify]: Extracting #7: cost 329 inf + 3263 559.605 * * [simplify]: Extracting #8: cost 156 inf + 43935 559.623 * * [simplify]: Extracting #9: cost 42 inf + 90946 559.642 * * [simplify]: Extracting #10: cost 5 inf + 114004 559.664 * * [simplify]: Extracting #11: cost 0 inf + 116517 559.684 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 559.684 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 559.685 * * * * [progress]: [ 1963 / 4754 ] simplifiying candidate # 559.686 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 559.686 * * [simplify]: iters left: 6 (48 enodes) 559.698 * * [simplify]: iters left: 5 (252 enodes) 559.756 * * [simplify]: Extracting #0: cost 1 inf + 0 559.756 * * [simplify]: Extracting #1: cost 3 inf + 0 559.756 * * [simplify]: Extracting #2: cost 6 inf + 0 559.756 * * [simplify]: Extracting #3: cost 10 inf + 0 559.756 * * [simplify]: Extracting #4: cost 20 inf + 0 559.756 * * [simplify]: Extracting #5: cost 128 inf + 0 559.757 * * [simplify]: Extracting #6: cost 289 inf + 44 559.758 * * [simplify]: Extracting #7: cost 323 inf + 2007 559.762 * * [simplify]: Extracting #8: cost 209 inf + 22421 559.774 * * [simplify]: Extracting #9: cost 110 inf + 51952 559.791 * * [simplify]: Extracting #10: cost 11 inf + 94507 559.809 * * [simplify]: Extracting #11: cost 2 inf + 100957 559.829 * * [simplify]: Extracting #12: cost 0 inf + 104407 559.848 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 559.848 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 559.849 * * * * [progress]: [ 1964 / 4754 ] simplifiying candidate # 559.849 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 559.850 * * [simplify]: iters left: 6 (48 enodes) 559.863 * * [simplify]: iters left: 5 (252 enodes) 559.920 * * [simplify]: Extracting #0: cost 1 inf + 0 559.920 * * [simplify]: Extracting #1: cost 3 inf + 0 559.920 * * [simplify]: Extracting #2: cost 6 inf + 0 559.920 * * [simplify]: Extracting #3: cost 10 inf + 0 559.920 * * [simplify]: Extracting #4: cost 20 inf + 0 559.920 * * [simplify]: Extracting #5: cost 138 inf + 0 559.923 * * [simplify]: Extracting #6: cost 306 inf + 1 559.925 * * [simplify]: Extracting #7: cost 330 inf + 3099 559.931 * * [simplify]: Extracting #8: cost 156 inf + 44520 559.946 * * [simplify]: Extracting #9: cost 38 inf + 92936 559.966 * * [simplify]: Extracting #10: cost 5 inf + 114644 559.988 * * [simplify]: Extracting #11: cost 0 inf + 117157 560.010 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- phi1 phi2) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 560.010 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- phi1 phi2) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.011 * * * * [progress]: [ 1965 / 4754 ] simplifiying candidate # 560.011 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 560.011 * * [simplify]: iters left: 6 (48 enodes) 560.024 * * [simplify]: iters left: 5 (252 enodes) 560.084 * * [simplify]: Extracting #0: cost 1 inf + 0 560.084 * * [simplify]: Extracting #1: cost 3 inf + 0 560.084 * * [simplify]: Extracting #2: cost 6 inf + 0 560.084 * * [simplify]: Extracting #3: cost 10 inf + 0 560.084 * * [simplify]: Extracting #4: cost 20 inf + 0 560.084 * * [simplify]: Extracting #5: cost 127 inf + 0 560.085 * * [simplify]: Extracting #6: cost 289 inf + 44 560.086 * * [simplify]: Extracting #7: cost 321 inf + 2413 560.090 * * [simplify]: Extracting #8: cost 207 inf + 23553 560.100 * * [simplify]: Extracting #9: cost 105 inf + 53428 560.116 * * [simplify]: Extracting #10: cost 12 inf + 94373 560.135 * * [simplify]: Extracting #11: cost 2 inf + 101037 560.156 * * [simplify]: Extracting #12: cost 0 inf + 104487 560.175 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 560.175 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.176 * * * * [progress]: [ 1966 / 4754 ] simplifiying candidate # 560.176 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 560.176 * * [simplify]: iters left: 6 (48 enodes) 560.189 * * [simplify]: iters left: 5 (251 enodes) 560.249 * * [simplify]: Extracting #0: cost 1 inf + 0 560.249 * * [simplify]: Extracting #1: cost 3 inf + 0 560.249 * * [simplify]: Extracting #2: cost 6 inf + 0 560.249 * * [simplify]: Extracting #3: cost 10 inf + 0 560.249 * * [simplify]: Extracting #4: cost 16 inf + 0 560.249 * * [simplify]: Extracting #5: cost 114 inf + 0 560.250 * * [simplify]: Extracting #6: cost 295 inf + 0 560.251 * * [simplify]: Extracting #7: cost 342 inf + 2607 560.257 * * [simplify]: Extracting #8: cost 181 inf + 37609 560.272 * * [simplify]: Extracting #9: cost 50 inf + 89030 560.293 * * [simplify]: Extracting #10: cost 4 inf + 117086 560.316 * * [simplify]: Extracting #11: cost 0 inf + 120320 560.338 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 560.338 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.339 * * * * [progress]: [ 1967 / 4754 ] simplifiying candidate # 560.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 560.340 * * [simplify]: iters left: 6 (48 enodes) 560.352 * * [simplify]: iters left: 5 (249 enodes) 560.411 * * [simplify]: Extracting #0: cost 1 inf + 0 560.411 * * [simplify]: Extracting #1: cost 3 inf + 0 560.411 * * [simplify]: Extracting #2: cost 6 inf + 0 560.411 * * [simplify]: Extracting #3: cost 10 inf + 0 560.412 * * [simplify]: Extracting #4: cost 16 inf + 0 560.412 * * [simplify]: Extracting #5: cost 113 inf + 0 560.412 * * [simplify]: Extracting #6: cost 269 inf + 0 560.414 * * [simplify]: Extracting #7: cost 314 inf + 2648 560.419 * * [simplify]: Extracting #8: cost 200 inf + 23717 560.428 * * [simplify]: Extracting #9: cost 115 inf + 53427 560.445 * * [simplify]: Extracting #10: cost 22 inf + 99249 560.467 * * [simplify]: Extracting #11: cost 1 inf + 113296 560.488 * * [simplify]: Extracting #12: cost 0 inf + 114961 560.509 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 560.509 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.509 * * * * [progress]: [ 1968 / 4754 ] simplifiying candidate # 560.510 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 560.510 * * [simplify]: iters left: 6 (46 enodes) 560.522 * * [simplify]: iters left: 5 (237 enodes) 560.575 * * [simplify]: Extracting #0: cost 1 inf + 0 560.575 * * [simplify]: Extracting #1: cost 3 inf + 0 560.575 * * [simplify]: Extracting #2: cost 6 inf + 0 560.575 * * [simplify]: Extracting #3: cost 10 inf + 0 560.575 * * [simplify]: Extracting #4: cost 16 inf + 0 560.576 * * [simplify]: Extracting #5: cost 111 inf + 0 560.576 * * [simplify]: Extracting #6: cost 268 inf + 0 560.577 * * [simplify]: Extracting #7: cost 298 inf + 2286 560.581 * * [simplify]: Extracting #8: cost 196 inf + 20190 560.589 * * [simplify]: Extracting #9: cost 110 inf + 47379 560.607 * * [simplify]: Extracting #10: cost 25 inf + 91356 560.626 * * [simplify]: Extracting #11: cost 0 inf + 106140 560.645 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 560.645 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.646 * * * * [progress]: [ 1969 / 4754 ] simplifiying candidate # 560.646 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 560.647 * * [simplify]: iters left: 6 (48 enodes) 560.659 * * [simplify]: iters left: 5 (251 enodes) 560.721 * * [simplify]: Extracting #0: cost 1 inf + 0 560.721 * * [simplify]: Extracting #1: cost 3 inf + 0 560.721 * * [simplify]: Extracting #2: cost 6 inf + 0 560.721 * * [simplify]: Extracting #3: cost 10 inf + 0 560.721 * * [simplify]: Extracting #4: cost 16 inf + 0 560.721 * * [simplify]: Extracting #5: cost 112 inf + 0 560.722 * * [simplify]: Extracting #6: cost 286 inf + 0 560.723 * * [simplify]: Extracting #7: cost 313 inf + 2168 560.727 * * [simplify]: Extracting #8: cost 195 inf + 22686 560.735 * * [simplify]: Extracting #9: cost 112 inf + 48461 560.750 * * [simplify]: Extracting #10: cost 20 inf + 88700 560.772 * * [simplify]: Extracting #11: cost 0 inf + 104361 560.791 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 560.791 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.792 * * * * [progress]: [ 1970 / 4754 ] simplifiying candidate # 560.792 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 560.792 * * [simplify]: iters left: 6 (48 enodes) 560.805 * * [simplify]: iters left: 5 (251 enodes) 560.864 * * [simplify]: Extracting #0: cost 1 inf + 0 560.864 * * [simplify]: Extracting #1: cost 3 inf + 0 560.864 * * [simplify]: Extracting #2: cost 6 inf + 0 560.864 * * [simplify]: Extracting #3: cost 10 inf + 0 560.864 * * [simplify]: Extracting #4: cost 20 inf + 0 560.864 * * [simplify]: Extracting #5: cost 136 inf + 0 560.865 * * [simplify]: Extracting #6: cost 304 inf + 1 560.867 * * [simplify]: Extracting #7: cost 325 inf + 2900 560.873 * * [simplify]: Extracting #8: cost 164 inf + 39825 560.888 * * [simplify]: Extracting #9: cost 48 inf + 87906 560.911 * * [simplify]: Extracting #10: cost 3 inf + 112291 560.932 * * [simplify]: Extracting #11: cost 0 inf + 114671 560.952 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 560.953 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 560.953 * * * * [progress]: [ 1971 / 4754 ] simplifiying candidate # 560.953 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 560.954 * * [simplify]: iters left: 6 (48 enodes) 560.966 * * [simplify]: iters left: 5 (251 enodes) 561.027 * * [simplify]: Extracting #0: cost 1 inf + 0 561.027 * * [simplify]: Extracting #1: cost 3 inf + 0 561.027 * * [simplify]: Extracting #2: cost 6 inf + 0 561.027 * * [simplify]: Extracting #3: cost 10 inf + 0 561.027 * * [simplify]: Extracting #4: cost 20 inf + 0 561.027 * * [simplify]: Extracting #5: cost 128 inf + 0 561.028 * * [simplify]: Extracting #6: cost 289 inf + 44 561.029 * * [simplify]: Extracting #7: cost 315 inf + 2740 561.035 * * [simplify]: Extracting #8: cost 164 inf + 34246 561.050 * * [simplify]: Extracting #9: cost 37 inf + 81880 561.071 * * [simplify]: Extracting #10: cost 7 inf + 99633 561.090 * * [simplify]: Extracting #11: cost 0 inf + 102690 561.109 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 561.109 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 561.110 * * * * [progress]: [ 1972 / 4754 ] simplifiying candidate # 561.110 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 561.110 * * [simplify]: iters left: 6 (48 enodes) 561.123 * * [simplify]: iters left: 5 (251 enodes) 561.182 * * [simplify]: Extracting #0: cost 1 inf + 0 561.182 * * [simplify]: Extracting #1: cost 3 inf + 0 561.182 * * [simplify]: Extracting #2: cost 6 inf + 0 561.182 * * [simplify]: Extracting #3: cost 10 inf + 0 561.182 * * [simplify]: Extracting #4: cost 20 inf + 0 561.182 * * [simplify]: Extracting #5: cost 136 inf + 0 561.183 * * [simplify]: Extracting #6: cost 304 inf + 1 561.184 * * [simplify]: Extracting #7: cost 326 inf + 2818 561.190 * * [simplify]: Extracting #8: cost 171 inf + 38522 561.205 * * [simplify]: Extracting #9: cost 48 inf + 88706 561.227 * * [simplify]: Extracting #10: cost 3 inf + 113091 561.248 * * [simplify]: Extracting #11: cost 0 inf + 115471 561.268 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) 561.269 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 561.269 * * * * [progress]: [ 1973 / 4754 ] simplifiying candidate # 561.269 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 561.270 * * [simplify]: iters left: 6 (48 enodes) 561.282 * * [simplify]: iters left: 5 (251 enodes) 561.341 * * [simplify]: Extracting #0: cost 1 inf + 0 561.341 * * [simplify]: Extracting #1: cost 3 inf + 0 561.341 * * [simplify]: Extracting #2: cost 6 inf + 0 561.341 * * [simplify]: Extracting #3: cost 10 inf + 0 561.341 * * [simplify]: Extracting #4: cost 20 inf + 0 561.342 * * [simplify]: Extracting #5: cost 127 inf + 0 561.342 * * [simplify]: Extracting #6: cost 289 inf + 44 561.344 * * [simplify]: Extracting #7: cost 312 inf + 3024 561.349 * * [simplify]: Extracting #8: cost 159 inf + 35292 561.366 * * [simplify]: Extracting #9: cost 37 inf + 82120 561.384 * * [simplify]: Extracting #10: cost 5 inf + 100257 561.402 * * [simplify]: Extracting #11: cost 0 inf + 102930 561.421 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 561.421 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 561.422 * * * * [progress]: [ 1974 / 4754 ] simplifiying candidate # 561.422 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 561.423 * * [simplify]: iters left: 6 (48 enodes) 561.435 * * [simplify]: iters left: 5 (252 enodes) 561.493 * * [simplify]: Extracting #0: cost 1 inf + 0 561.493 * * [simplify]: Extracting #1: cost 3 inf + 0 561.493 * * [simplify]: Extracting #2: cost 6 inf + 0 561.493 * * [simplify]: Extracting #3: cost 10 inf + 0 561.493 * * [simplify]: Extracting #4: cost 16 inf + 0 561.493 * * [simplify]: Extracting #5: cost 114 inf + 0 561.493 * * [simplify]: Extracting #6: cost 289 inf + 0 561.495 * * [simplify]: Extracting #7: cost 332 inf + 2363 561.500 * * [simplify]: Extracting #8: cost 183 inf + 34850 561.516 * * [simplify]: Extracting #9: cost 70 inf + 78030 561.535 * * [simplify]: Extracting #10: cost 12 inf + 107327 561.555 * * [simplify]: Extracting #11: cost 2 inf + 116138 561.577 * * [simplify]: Extracting #12: cost 0 inf + 119508 561.599 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 561.599 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 561.600 * * * * [progress]: [ 1975 / 4754 ] simplifiying candidate # 561.600 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 561.600 * * [simplify]: iters left: 6 (48 enodes) 561.613 * * [simplify]: iters left: 5 (250 enodes) 561.675 * * [simplify]: Extracting #0: cost 1 inf + 0 561.675 * * [simplify]: Extracting #1: cost 3 inf + 0 561.675 * * [simplify]: Extracting #2: cost 6 inf + 0 561.675 * * [simplify]: Extracting #3: cost 10 inf + 0 561.675 * * [simplify]: Extracting #4: cost 16 inf + 0 561.675 * * [simplify]: Extracting #5: cost 116 inf + 0 561.675 * * [simplify]: Extracting #6: cost 283 inf + 0 561.677 * * [simplify]: Extracting #7: cost 322 inf + 1927 561.682 * * [simplify]: Extracting #8: cost 186 inf + 31841 561.694 * * [simplify]: Extracting #9: cost 82 inf + 73280 561.711 * * [simplify]: Extracting #10: cost 33 inf + 97087 561.732 * * [simplify]: Extracting #11: cost 2 inf + 118445 561.756 * * [simplify]: Extracting #12: cost 0 inf + 121815 561.778 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 561.778 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 561.779 * * * * [progress]: [ 1976 / 4754 ] simplifiying candidate # 561.779 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 561.780 * * [simplify]: iters left: 6 (46 enodes) 561.791 * * [simplify]: iters left: 5 (240 enodes) 561.847 * * [simplify]: Extracting #0: cost 1 inf + 0 561.847 * * [simplify]: Extracting #1: cost 3 inf + 0 561.847 * * [simplify]: Extracting #2: cost 6 inf + 0 561.847 * * [simplify]: Extracting #3: cost 10 inf + 0 561.847 * * [simplify]: Extracting #4: cost 16 inf + 0 561.847 * * [simplify]: Extracting #5: cost 110 inf + 0 561.848 * * [simplify]: Extracting #6: cost 271 inf + 0 561.849 * * [simplify]: Extracting #7: cost 300 inf + 1679 561.853 * * [simplify]: Extracting #8: cost 181 inf + 27723 561.868 * * [simplify]: Extracting #9: cost 34 inf + 87768 561.887 * * [simplify]: Extracting #10: cost 2 inf + 107695 561.909 * * [simplify]: Extracting #11: cost 0 inf + 109372 561.930 * * [simplify]: Extracting #12: cost 0 inf + 109332 561.951 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 561.951 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 561.952 * * * * [progress]: [ 1977 / 4754 ] simplifiying candidate # 561.952 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 561.952 * * [simplify]: iters left: 6 (48 enodes) 561.965 * * [simplify]: iters left: 5 (252 enodes) 562.022 * * [simplify]: Extracting #0: cost 1 inf + 0 562.022 * * [simplify]: Extracting #1: cost 3 inf + 0 562.022 * * [simplify]: Extracting #2: cost 6 inf + 0 562.022 * * [simplify]: Extracting #3: cost 10 inf + 0 562.022 * * [simplify]: Extracting #4: cost 16 inf + 0 562.022 * * [simplify]: Extracting #5: cost 112 inf + 0 562.023 * * [simplify]: Extracting #6: cost 281 inf + 0 562.024 * * [simplify]: Extracting #7: cost 300 inf + 2895 562.028 * * [simplify]: Extracting #8: cost 187 inf + 26491 562.037 * * [simplify]: Extracting #9: cost 111 inf + 49781 562.055 * * [simplify]: Extracting #10: cost 13 inf + 93262 562.073 * * [simplify]: Extracting #11: cost 3 inf + 100219 562.092 * * [simplify]: Extracting #12: cost 1 inf + 103589 562.111 * * [simplify]: Extracting #13: cost 0 inf + 105294 562.131 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))))))))) 562.131 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.132 * * * * [progress]: [ 1978 / 4754 ] simplifiying candidate # 562.132 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 562.132 * * [simplify]: iters left: 6 (48 enodes) 562.145 * * [simplify]: iters left: 5 (252 enodes) 562.204 * * [simplify]: Extracting #0: cost 1 inf + 0 562.204 * * [simplify]: Extracting #1: cost 3 inf + 0 562.204 * * [simplify]: Extracting #2: cost 6 inf + 0 562.204 * * [simplify]: Extracting #3: cost 10 inf + 0 562.204 * * [simplify]: Extracting #4: cost 20 inf + 0 562.204 * * [simplify]: Extracting #5: cost 136 inf + 0 562.205 * * [simplify]: Extracting #6: cost 299 inf + 1 562.206 * * [simplify]: Extracting #7: cost 315 inf + 2778 562.210 * * [simplify]: Extracting #8: cost 202 inf + 23363 562.218 * * [simplify]: Extracting #9: cost 116 inf + 53411 562.236 * * [simplify]: Extracting #10: cost 17 inf + 99055 562.257 * * [simplify]: Extracting #11: cost 0 inf + 114463 562.279 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) 562.279 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.280 * * * * [progress]: [ 1979 / 4754 ] simplifiying candidate # 562.280 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 562.281 * * [simplify]: iters left: 6 (48 enodes) 562.293 * * [simplify]: iters left: 5 (252 enodes) 562.352 * * [simplify]: Extracting #0: cost 1 inf + 0 562.352 * * [simplify]: Extracting #1: cost 3 inf + 0 562.352 * * [simplify]: Extracting #2: cost 6 inf + 0 562.352 * * [simplify]: Extracting #3: cost 10 inf + 0 562.352 * * [simplify]: Extracting #4: cost 20 inf + 0 562.352 * * [simplify]: Extracting #5: cost 128 inf + 0 562.353 * * [simplify]: Extracting #6: cost 285 inf + 44 562.354 * * [simplify]: Extracting #7: cost 301 inf + 3389 562.358 * * [simplify]: Extracting #8: cost 197 inf + 21361 562.366 * * [simplify]: Extracting #9: cost 107 inf + 50848 562.381 * * [simplify]: Extracting #10: cost 21 inf + 86796 562.401 * * [simplify]: Extracting #11: cost 0 inf + 102547 562.421 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 562.421 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.422 * * * * [progress]: [ 1980 / 4754 ] simplifiying candidate # 562.422 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 562.423 * * [simplify]: iters left: 6 (48 enodes) 562.435 * * [simplify]: iters left: 5 (252 enodes) 562.494 * * [simplify]: Extracting #0: cost 1 inf + 0 562.494 * * [simplify]: Extracting #1: cost 3 inf + 0 562.494 * * [simplify]: Extracting #2: cost 6 inf + 0 562.494 * * [simplify]: Extracting #3: cost 10 inf + 0 562.494 * * [simplify]: Extracting #4: cost 20 inf + 0 562.494 * * [simplify]: Extracting #5: cost 136 inf + 0 562.495 * * [simplify]: Extracting #6: cost 298 inf + 1 562.496 * * [simplify]: Extracting #7: cost 314 inf + 2698 562.500 * * [simplify]: Extracting #8: cost 207 inf + 21909 562.508 * * [simplify]: Extracting #9: cost 121 inf + 51214 562.524 * * [simplify]: Extracting #10: cost 20 inf + 99137 562.546 * * [simplify]: Extracting #11: cost 0 inf + 114979 562.568 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 562.568 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.569 * * * * [progress]: [ 1981 / 4754 ] simplifiying candidate # 562.569 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 562.570 * * [simplify]: iters left: 6 (48 enodes) 562.582 * * [simplify]: iters left: 5 (252 enodes) 562.641 * * [simplify]: Extracting #0: cost 1 inf + 0 562.641 * * [simplify]: Extracting #1: cost 3 inf + 0 562.641 * * [simplify]: Extracting #2: cost 6 inf + 0 562.641 * * [simplify]: Extracting #3: cost 10 inf + 0 562.641 * * [simplify]: Extracting #4: cost 20 inf + 0 562.641 * * [simplify]: Extracting #5: cost 127 inf + 0 562.642 * * [simplify]: Extracting #6: cost 284 inf + 44 562.643 * * [simplify]: Extracting #7: cost 300 inf + 3429 562.647 * * [simplify]: Extracting #8: cost 204 inf + 19692 562.655 * * [simplify]: Extracting #9: cost 108 inf + 50778 562.671 * * [simplify]: Extracting #10: cost 18 inf + 88722 562.689 * * [simplify]: Extracting #11: cost 0 inf + 102823 562.708 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 562.708 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.709 * * * * [progress]: [ 1982 / 4754 ] simplifiying candidate # 562.709 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 562.710 * * [simplify]: iters left: 6 (39 enodes) 562.721 * * [simplify]: iters left: 5 (200 enodes) 562.766 * * [simplify]: Extracting #0: cost 1 inf + 0 562.766 * * [simplify]: Extracting #1: cost 3 inf + 0 562.766 * * [simplify]: Extracting #2: cost 6 inf + 0 562.766 * * [simplify]: Extracting #3: cost 10 inf + 0 562.766 * * [simplify]: Extracting #4: cost 16 inf + 0 562.766 * * [simplify]: Extracting #5: cost 108 inf + 0 562.767 * * [simplify]: Extracting #6: cost 264 inf + 0 562.768 * * [simplify]: Extracting #7: cost 292 inf + 1960 562.771 * * [simplify]: Extracting #8: cost 196 inf + 18780 562.781 * * [simplify]: Extracting #9: cost 106 inf + 46123 562.795 * * [simplify]: Extracting #10: cost 12 inf + 87869 562.812 * * [simplify]: Extracting #11: cost 2 inf + 95784 562.830 * * [simplify]: Extracting #12: cost 0 inf + 98554 562.848 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 562.848 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.849 * * * * [progress]: [ 1983 / 4754 ] simplifiying candidate # 562.849 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 562.849 * * [simplify]: iters left: 6 (39 enodes) 562.860 * * [simplify]: iters left: 5 (192 enodes) 562.902 * * [simplify]: Extracting #0: cost 1 inf + 0 562.902 * * [simplify]: Extracting #1: cost 4 inf + 0 562.902 * * [simplify]: Extracting #2: cost 7 inf + 0 562.902 * * [simplify]: Extracting #3: cost 10 inf + 0 562.902 * * [simplify]: Extracting #4: cost 77 inf + 0 562.902 * * [simplify]: Extracting #5: cost 205 inf + 0 562.903 * * [simplify]: Extracting #6: cost 224 inf + 2284 562.906 * * [simplify]: Extracting #7: cost 151 inf + 13524 562.911 * * [simplify]: Extracting #8: cost 78 inf + 35885 562.922 * * [simplify]: Extracting #9: cost 16 inf + 61779 562.937 * * [simplify]: Extracting #10: cost 0 inf + 73549 562.950 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 562.950 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 562.951 * * * * [progress]: [ 1984 / 4754 ] simplifiying candidate # 562.951 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 562.951 * * [simplify]: iters left: 6 (33 enodes) 562.960 * * [simplify]: iters left: 5 (161 enodes) 562.993 * * [simplify]: iters left: 4 (489 enodes) 563.228 * * [simplify]: Extracting #0: cost 1 inf + 0 563.228 * * [simplify]: Extracting #1: cost 4 inf + 0 563.228 * * [simplify]: Extracting #2: cost 7 inf + 0 563.228 * * [simplify]: Extracting #3: cost 28 inf + 0 563.229 * * [simplify]: Extracting #4: cost 367 inf + 0 563.231 * * [simplify]: Extracting #5: cost 834 inf + 1719 563.237 * * [simplify]: Extracting #6: cost 825 inf + 23832 563.260 * * [simplify]: Extracting #7: cost 523 inf + 104020 563.292 * * [simplify]: Extracting #8: cost 295 inf + 184378 563.352 * * [simplify]: Extracting #9: cost 23 inf + 302430 563.425 * * [simplify]: Extracting #10: cost 0 inf + 314081 563.491 * * [simplify]: Extracting #11: cost 0 inf + 313961 563.558 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 563.558 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 563.559 * * * * [progress]: [ 1985 / 4754 ] simplifiying candidate # 563.559 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 563.559 * * [simplify]: iters left: 6 (39 enodes) 563.569 * * [simplify]: iters left: 5 (198 enodes) 563.616 * * [simplify]: Extracting #0: cost 1 inf + 0 563.616 * * [simplify]: Extracting #1: cost 3 inf + 0 563.616 * * [simplify]: Extracting #2: cost 6 inf + 0 563.616 * * [simplify]: Extracting #3: cost 10 inf + 0 563.616 * * [simplify]: Extracting #4: cost 16 inf + 0 563.616 * * [simplify]: Extracting #5: cost 108 inf + 0 563.617 * * [simplify]: Extracting #6: cost 242 inf + 0 563.617 * * [simplify]: Extracting #7: cost 252 inf + 1639 563.620 * * [simplify]: Extracting #8: cost 169 inf + 14551 563.627 * * [simplify]: Extracting #9: cost 78 inf + 41279 563.640 * * [simplify]: Extracting #10: cost 14 inf + 68663 563.653 * * [simplify]: Extracting #11: cost 4 inf + 73860 563.670 * * [simplify]: Extracting #12: cost 2 inf + 76550 563.685 * * [simplify]: Extracting #13: cost 0 inf + 79320 563.701 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 563.701 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 563.702 * * * * [progress]: [ 1986 / 4754 ] simplifiying candidate # 563.702 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 563.702 * * [simplify]: iters left: 6 (39 enodes) 563.712 * * [simplify]: iters left: 5 (196 enodes) 563.759 * * [simplify]: Extracting #0: cost 1 inf + 0 563.759 * * [simplify]: Extracting #1: cost 3 inf + 0 563.759 * * [simplify]: Extracting #2: cost 6 inf + 0 563.759 * * [simplify]: Extracting #3: cost 10 inf + 0 563.759 * * [simplify]: Extracting #4: cost 20 inf + 0 563.760 * * [simplify]: Extracting #5: cost 126 inf + 0 563.760 * * [simplify]: Extracting #6: cost 254 inf + 1 563.761 * * [simplify]: Extracting #7: cost 258 inf + 2209 563.764 * * [simplify]: Extracting #8: cost 161 inf + 19814 563.771 * * [simplify]: Extracting #9: cost 86 inf + 42927 563.785 * * [simplify]: Extracting #10: cost 13 inf + 79258 563.801 * * [simplify]: Extracting #11: cost 1 inf + 85572 563.820 * * [simplify]: Extracting #12: cost 0 inf + 86957 563.836 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 563.836 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 563.836 * * * * [progress]: [ 1987 / 4754 ] simplifiying candidate # 563.837 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 563.837 * * [simplify]: iters left: 6 (39 enodes) 563.847 * * [simplify]: iters left: 5 (195 enodes) 563.889 * * [simplify]: Extracting #0: cost 1 inf + 0 563.890 * * [simplify]: Extracting #1: cost 3 inf + 0 563.890 * * [simplify]: Extracting #2: cost 6 inf + 0 563.890 * * [simplify]: Extracting #3: cost 10 inf + 0 563.890 * * [simplify]: Extracting #4: cost 20 inf + 0 563.892 * * [simplify]: Extracting #5: cost 117 inf + 0 563.893 * * [simplify]: Extracting #6: cost 234 inf + 44 563.894 * * [simplify]: Extracting #7: cost 231 inf + 4119 563.897 * * [simplify]: Extracting #8: cost 152 inf + 16417 563.902 * * [simplify]: Extracting #9: cost 84 inf + 35255 563.914 * * [simplify]: Extracting #10: cost 9 inf + 68413 563.928 * * [simplify]: Extracting #11: cost 1 inf + 73587 563.942 * * [simplify]: Extracting #12: cost 0 inf + 75052 563.957 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 563.957 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 563.957 * * * * [progress]: [ 1988 / 4754 ] simplifiying candidate # 563.958 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 563.958 * * [simplify]: iters left: 6 (39 enodes) 563.968 * * [simplify]: iters left: 5 (196 enodes) 564.014 * * [simplify]: Extracting #0: cost 1 inf + 0 564.014 * * [simplify]: Extracting #1: cost 3 inf + 0 564.014 * * [simplify]: Extracting #2: cost 6 inf + 0 564.014 * * [simplify]: Extracting #3: cost 10 inf + 0 564.014 * * [simplify]: Extracting #4: cost 20 inf + 0 564.014 * * [simplify]: Extracting #5: cost 126 inf + 0 564.015 * * [simplify]: Extracting #6: cost 254 inf + 1 564.016 * * [simplify]: Extracting #7: cost 257 inf + 2250 564.019 * * [simplify]: Extracting #8: cost 171 inf + 16697 564.027 * * [simplify]: Extracting #9: cost 87 inf + 43519 564.041 * * [simplify]: Extracting #10: cost 13 inf + 79978 564.060 * * [simplify]: Extracting #11: cost 1 inf + 86332 564.076 * * [simplify]: Extracting #12: cost 0 inf + 87757 564.092 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) 564.092 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.092 * * * * [progress]: [ 1989 / 4754 ] simplifiying candidate # 564.093 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 564.093 * * [simplify]: iters left: 6 (39 enodes) 564.103 * * [simplify]: iters left: 5 (194 enodes) 564.147 * * [simplify]: Extracting #0: cost 1 inf + 0 564.147 * * [simplify]: Extracting #1: cost 3 inf + 0 564.147 * * [simplify]: Extracting #2: cost 6 inf + 0 564.147 * * [simplify]: Extracting #3: cost 10 inf + 0 564.147 * * [simplify]: Extracting #4: cost 20 inf + 0 564.147 * * [simplify]: Extracting #5: cost 117 inf + 0 564.148 * * [simplify]: Extracting #6: cost 229 inf + 44 564.149 * * [simplify]: Extracting #7: cost 230 inf + 3267 564.151 * * [simplify]: Extracting #8: cost 151 inf + 15321 564.157 * * [simplify]: Extracting #9: cost 86 inf + 34894 564.169 * * [simplify]: Extracting #10: cost 10 inf + 67509 564.182 * * [simplify]: Extracting #11: cost 1 inf + 73011 564.196 * * [simplify]: Extracting #12: cost 0 inf + 74476 564.212 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 564.212 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.213 * * * * [progress]: [ 1990 / 4754 ] simplifiying candidate # 564.213 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 564.214 * * [simplify]: iters left: 6 (49 enodes) 564.226 * * [simplify]: iters left: 5 (248 enodes) 564.283 * * [simplify]: Extracting #0: cost 1 inf + 0 564.283 * * [simplify]: Extracting #1: cost 3 inf + 0 564.283 * * [simplify]: Extracting #2: cost 6 inf + 0 564.283 * * [simplify]: Extracting #3: cost 10 inf + 0 564.283 * * [simplify]: Extracting #4: cost 16 inf + 0 564.283 * * [simplify]: Extracting #5: cost 116 inf + 0 564.284 * * [simplify]: Extracting #6: cost 287 inf + 0 564.285 * * [simplify]: Extracting #7: cost 322 inf + 1557 564.288 * * [simplify]: Extracting #8: cost 214 inf + 22574 564.296 * * [simplify]: Extracting #9: cost 141 inf + 44596 564.310 * * [simplify]: Extracting #10: cost 37 inf + 89323 564.330 * * [simplify]: Extracting #11: cost 2 inf + 113144 564.353 * * [simplify]: Extracting #12: cost 0 inf + 116594 564.374 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 564.374 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.375 * * * * [progress]: [ 1991 / 4754 ] simplifiying candidate # 564.375 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 564.375 * * [simplify]: iters left: 6 (49 enodes) 564.388 * * [simplify]: iters left: 5 (246 enodes) 564.445 * * [simplify]: Extracting #0: cost 1 inf + 0 564.445 * * [simplify]: Extracting #1: cost 3 inf + 0 564.446 * * [simplify]: Extracting #2: cost 6 inf + 0 564.446 * * [simplify]: Extracting #3: cost 10 inf + 0 564.446 * * [simplify]: Extracting #4: cost 16 inf + 0 564.446 * * [simplify]: Extracting #5: cost 119 inf + 0 564.447 * * [simplify]: Extracting #6: cost 282 inf + 0 564.448 * * [simplify]: Extracting #7: cost 311 inf + 2004 564.451 * * [simplify]: Extracting #8: cost 230 inf + 15663 564.458 * * [simplify]: Extracting #9: cost 150 inf + 44110 564.473 * * [simplify]: Extracting #10: cost 38 inf + 92728 564.493 * * [simplify]: Extracting #11: cost 2 inf + 117695 564.517 * * [simplify]: Extracting #12: cost 0 inf + 121385 564.539 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))))))) 564.539 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.540 * * * * [progress]: [ 1992 / 4754 ] simplifiying candidate # 564.540 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 564.540 * * [simplify]: iters left: 6 (47 enodes) 564.552 * * [simplify]: iters left: 5 (236 enodes) 564.604 * * [simplify]: Extracting #0: cost 1 inf + 0 564.605 * * [simplify]: Extracting #1: cost 3 inf + 0 564.605 * * [simplify]: Extracting #2: cost 6 inf + 0 564.605 * * [simplify]: Extracting #3: cost 10 inf + 0 564.605 * * [simplify]: Extracting #4: cost 16 inf + 0 564.605 * * [simplify]: Extracting #5: cost 115 inf + 0 564.605 * * [simplify]: Extracting #6: cost 271 inf + 0 564.606 * * [simplify]: Extracting #7: cost 287 inf + 2084 564.610 * * [simplify]: Extracting #8: cost 208 inf + 16712 564.616 * * [simplify]: Extracting #9: cost 134 inf + 40340 564.631 * * [simplify]: Extracting #10: cost 29 inf + 86558 564.653 * * [simplify]: Extracting #11: cost 0 inf + 107028 564.672 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 564.672 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.673 * * * * [progress]: [ 1993 / 4754 ] simplifiying candidate # 564.673 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 564.673 * * [simplify]: iters left: 6 (49 enodes) 564.685 * * [simplify]: iters left: 5 (248 enodes) 564.741 * * [simplify]: Extracting #0: cost 1 inf + 0 564.741 * * [simplify]: Extracting #1: cost 3 inf + 0 564.742 * * [simplify]: Extracting #2: cost 6 inf + 0 564.742 * * [simplify]: Extracting #3: cost 10 inf + 0 564.742 * * [simplify]: Extracting #4: cost 16 inf + 0 564.742 * * [simplify]: Extracting #5: cost 114 inf + 0 564.742 * * [simplify]: Extracting #6: cost 279 inf + 0 564.743 * * [simplify]: Extracting #7: cost 287 inf + 3095 564.748 * * [simplify]: Extracting #8: cost 179 inf + 25809 564.755 * * [simplify]: Extracting #9: cost 117 inf + 44096 564.768 * * [simplify]: Extracting #10: cost 35 inf + 77785 564.785 * * [simplify]: Extracting #11: cost 6 inf + 95390 564.804 * * [simplify]: Extracting #12: cost 0 inf + 101100 564.823 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 564.823 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.823 * * * * [progress]: [ 1994 / 4754 ] simplifiying candidate # 564.824 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 564.824 * * [simplify]: iters left: 6 (49 enodes) 564.836 * * [simplify]: iters left: 5 (248 enodes) 564.891 * * [simplify]: Extracting #0: cost 1 inf + 0 564.892 * * [simplify]: Extracting #1: cost 3 inf + 0 564.892 * * [simplify]: Extracting #2: cost 6 inf + 0 564.892 * * [simplify]: Extracting #3: cost 10 inf + 0 564.892 * * [simplify]: Extracting #4: cost 20 inf + 0 564.892 * * [simplify]: Extracting #5: cost 138 inf + 0 564.892 * * [simplify]: Extracting #6: cost 295 inf + 1 564.894 * * [simplify]: Extracting #7: cost 304 inf + 2531 564.898 * * [simplify]: Extracting #8: cost 200 inf + 25118 564.905 * * [simplify]: Extracting #9: cost 135 inf + 46063 564.919 * * [simplify]: Extracting #10: cost 37 inf + 85724 564.939 * * [simplify]: Extracting #11: cost 3 inf + 106906 564.961 * * [simplify]: Extracting #12: cost 0 inf + 111541 564.981 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 564.981 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 564.981 * * * * [progress]: [ 1995 / 4754 ] simplifiying candidate # 564.982 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 564.982 * * [simplify]: iters left: 6 (49 enodes) 564.994 * * [simplify]: iters left: 5 (248 enodes) 565.049 * * [simplify]: Extracting #0: cost 1 inf + 0 565.049 * * [simplify]: Extracting #1: cost 3 inf + 0 565.049 * * [simplify]: Extracting #2: cost 6 inf + 0 565.049 * * [simplify]: Extracting #3: cost 10 inf + 0 565.049 * * [simplify]: Extracting #4: cost 20 inf + 0 565.050 * * [simplify]: Extracting #5: cost 130 inf + 0 565.050 * * [simplify]: Extracting #6: cost 281 inf + 44 565.051 * * [simplify]: Extracting #7: cost 284 inf + 3508 565.055 * * [simplify]: Extracting #8: cost 190 inf + 21619 565.063 * * [simplify]: Extracting #9: cost 121 inf + 45039 565.075 * * [simplify]: Extracting #10: cost 34 inf + 78322 565.091 * * [simplify]: Extracting #11: cost 5 inf + 91700 565.110 * * [simplify]: Extracting #12: cost 2 inf + 96175 565.128 * * [simplify]: Extracting #13: cost 0 inf + 99705 565.145 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 565.145 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 565.146 * * * * [progress]: [ 1996 / 4754 ] simplifiying candidate # 565.146 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 565.146 * * [simplify]: iters left: 6 (49 enodes) 565.158 * * [simplify]: iters left: 5 (248 enodes) 565.214 * * [simplify]: Extracting #0: cost 1 inf + 0 565.214 * * [simplify]: Extracting #1: cost 3 inf + 0 565.214 * * [simplify]: Extracting #2: cost 6 inf + 0 565.214 * * [simplify]: Extracting #3: cost 10 inf + 0 565.214 * * [simplify]: Extracting #4: cost 20 inf + 0 565.214 * * [simplify]: Extracting #5: cost 138 inf + 0 565.215 * * [simplify]: Extracting #6: cost 295 inf + 1 565.216 * * [simplify]: Extracting #7: cost 303 inf + 3018 565.220 * * [simplify]: Extracting #8: cost 199 inf + 25840 565.229 * * [simplify]: Extracting #9: cost 135 inf + 46783 565.245 * * [simplify]: Extracting #10: cost 37 inf + 86444 565.264 * * [simplify]: Extracting #11: cost 3 inf + 107626 565.283 * * [simplify]: Extracting #12: cost 0 inf + 112261 565.303 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 565.303 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 565.303 * * * * [progress]: [ 1997 / 4754 ] simplifiying candidate # 565.304 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 565.304 * * [simplify]: iters left: 6 (49 enodes) 565.316 * * [simplify]: iters left: 5 (248 enodes) 565.370 * * [simplify]: Extracting #0: cost 1 inf + 0 565.370 * * [simplify]: Extracting #1: cost 3 inf + 0 565.370 * * [simplify]: Extracting #2: cost 6 inf + 0 565.370 * * [simplify]: Extracting #3: cost 10 inf + 0 565.371 * * [simplify]: Extracting #4: cost 20 inf + 0 565.371 * * [simplify]: Extracting #5: cost 129 inf + 0 565.371 * * [simplify]: Extracting #6: cost 281 inf + 44 565.373 * * [simplify]: Extracting #7: cost 283 inf + 3671 565.376 * * [simplify]: Extracting #8: cost 185 inf + 23598 565.384 * * [simplify]: Extracting #9: cost 115 inf + 46698 565.398 * * [simplify]: Extracting #10: cost 32 inf + 79224 565.414 * * [simplify]: Extracting #11: cost 5 inf + 91940 565.431 * * [simplify]: Extracting #12: cost 2 inf + 96415 565.448 * * [simplify]: Extracting #13: cost 0 inf + 99945 565.467 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 565.467 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 565.467 * * * * [progress]: [ 1998 / 4754 ] simplifiying candidate # 565.468 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 565.468 * * [simplify]: iters left: 6 (42 enodes) 565.478 * * [simplify]: iters left: 5 (209 enodes) 565.525 * * [simplify]: Extracting #0: cost 1 inf + 0 565.525 * * [simplify]: Extracting #1: cost 3 inf + 0 565.525 * * [simplify]: Extracting #2: cost 6 inf + 0 565.525 * * [simplify]: Extracting #3: cost 10 inf + 0 565.525 * * [simplify]: Extracting #4: cost 16 inf + 0 565.525 * * [simplify]: Extracting #5: cost 109 inf + 0 565.526 * * [simplify]: Extracting #6: cost 266 inf + 0 565.527 * * [simplify]: Extracting #7: cost 289 inf + 3172 565.531 * * [simplify]: Extracting #8: cost 182 inf + 20925 565.541 * * [simplify]: Extracting #9: cost 109 inf + 43666 565.556 * * [simplify]: Extracting #10: cost 20 inf + 89111 565.574 * * [simplify]: Extracting #11: cost 0 inf + 100079 565.592 * * [simplify]: Extracting #12: cost 0 inf + 99159 565.609 * * [simplify]: Extracting #13: cost 0 inf + 98639 565.628 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 565.628 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 565.629 * * * * [progress]: [ 1999 / 4754 ] simplifiying candidate # 565.629 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 565.630 * * [simplify]: iters left: 6 (42 enodes) 565.640 * * [simplify]: iters left: 5 (207 enodes) 565.685 * * [simplify]: Extracting #0: cost 1 inf + 0 565.685 * * [simplify]: Extracting #1: cost 3 inf + 0 565.685 * * [simplify]: Extracting #2: cost 6 inf + 0 565.685 * * [simplify]: Extracting #3: cost 10 inf + 0 565.685 * * [simplify]: Extracting #4: cost 16 inf + 0 565.685 * * [simplify]: Extracting #5: cost 109 inf + 0 565.686 * * [simplify]: Extracting #6: cost 245 inf + 0 565.687 * * [simplify]: Extracting #7: cost 269 inf + 2167 565.693 * * [simplify]: Extracting #8: cost 162 inf + 22235 565.699 * * [simplify]: Extracting #9: cost 114 inf + 38162 565.712 * * [simplify]: Extracting #10: cost 26 inf + 81513 565.729 * * [simplify]: Extracting #11: cost 0 inf + 93880 565.746 * * [simplify]: Extracting #12: cost 0 inf + 93520 565.763 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 565.763 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 565.764 * * * * [progress]: [ 2000 / 4754 ] simplifiying candidate # 565.764 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 565.764 * * [simplify]: iters left: 6 (40 enodes) 565.776 * * [simplify]: iters left: 5 (195 enodes) 565.816 * * [simplify]: Extracting #0: cost 1 inf + 0 565.816 * * [simplify]: Extracting #1: cost 3 inf + 0 565.816 * * [simplify]: Extracting #2: cost 6 inf + 0 565.816 * * [simplify]: Extracting #3: cost 10 inf + 0 565.816 * * [simplify]: Extracting #4: cost 16 inf + 0 565.817 * * [simplify]: Extracting #5: cost 106 inf + 0 565.817 * * [simplify]: Extracting #6: cost 238 inf + 0 565.818 * * [simplify]: Extracting #7: cost 250 inf + 1921 565.821 * * [simplify]: Extracting #8: cost 166 inf + 15755 565.827 * * [simplify]: Extracting #9: cost 97 inf + 36878 565.843 * * [simplify]: Extracting #10: cost 23 inf + 70001 565.856 * * [simplify]: Extracting #11: cost 5 inf + 78410 565.871 * * [simplify]: Extracting #12: cost 1 inf + 83270 565.886 * * [simplify]: Extracting #13: cost 0 inf + 84415 565.901 * * [simplify]: Extracting #14: cost 0 inf + 84335 565.916 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))))))) 565.916 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 565.917 * * * * [progress]: [ 2001 / 4754 ] simplifiying candidate # 565.917 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 565.917 * * [simplify]: iters left: 6 (42 enodes) 565.930 * * [simplify]: iters left: 5 (209 enodes) 565.975 * * [simplify]: Extracting #0: cost 1 inf + 0 565.975 * * [simplify]: Extracting #1: cost 3 inf + 0 565.975 * * [simplify]: Extracting #2: cost 6 inf + 0 565.975 * * [simplify]: Extracting #3: cost 10 inf + 0 565.975 * * [simplify]: Extracting #4: cost 16 inf + 0 565.976 * * [simplify]: Extracting #5: cost 107 inf + 0 565.976 * * [simplify]: Extracting #6: cost 257 inf + 0 565.977 * * [simplify]: Extracting #7: cost 267 inf + 1678 565.981 * * [simplify]: Extracting #8: cost 157 inf + 22144 565.995 * * [simplify]: Extracting #9: cost 37 inf + 63842 566.009 * * [simplify]: Extracting #10: cost 5 inf + 81490 566.024 * * [simplify]: Extracting #11: cost 0 inf + 84880 566.040 * * [simplify]: Extracting #12: cost 0 inf + 84560 566.056 * * [simplify]: Extracting #13: cost 0 inf + 84480 566.072 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 566.072 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.072 * * * * [progress]: [ 2002 / 4754 ] simplifiying candidate # 566.073 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 566.073 * * [simplify]: iters left: 6 (42 enodes) 566.085 * * [simplify]: iters left: 5 (209 enodes) 566.130 * * [simplify]: Extracting #0: cost 1 inf + 0 566.130 * * [simplify]: Extracting #1: cost 3 inf + 0 566.130 * * [simplify]: Extracting #2: cost 6 inf + 0 566.130 * * [simplify]: Extracting #3: cost 10 inf + 0 566.131 * * [simplify]: Extracting #4: cost 20 inf + 0 566.131 * * [simplify]: Extracting #5: cost 131 inf + 0 566.131 * * [simplify]: Extracting #6: cost 274 inf + 1 566.132 * * [simplify]: Extracting #7: cost 280 inf + 2001 566.135 * * [simplify]: Extracting #8: cost 191 inf + 16845 566.142 * * [simplify]: Extracting #9: cost 114 inf + 38666 566.159 * * [simplify]: Extracting #10: cost 18 inf + 84442 566.177 * * [simplify]: Extracting #11: cost 0 inf + 92946 566.193 * * [simplify]: Extracting #12: cost 0 inf + 92626 566.211 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 566.211 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.211 * * * * [progress]: [ 2003 / 4754 ] simplifiying candidate # 566.212 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 566.212 * * [simplify]: iters left: 6 (42 enodes) 566.223 * * [simplify]: iters left: 5 (209 enodes) 566.270 * * [simplify]: Extracting #0: cost 1 inf + 0 566.270 * * [simplify]: Extracting #1: cost 3 inf + 0 566.270 * * [simplify]: Extracting #2: cost 6 inf + 0 566.270 * * [simplify]: Extracting #3: cost 10 inf + 0 566.270 * * [simplify]: Extracting #4: cost 20 inf + 0 566.270 * * [simplify]: Extracting #5: cost 123 inf + 0 566.271 * * [simplify]: Extracting #6: cost 259 inf + 44 566.272 * * [simplify]: Extracting #7: cost 258 inf + 3351 566.275 * * [simplify]: Extracting #8: cost 165 inf + 17448 566.281 * * [simplify]: Extracting #9: cost 102 inf + 36456 566.294 * * [simplify]: Extracting #10: cost 18 inf + 74074 566.312 * * [simplify]: Extracting #11: cost 0 inf + 82805 566.327 * * [simplify]: Extracting #12: cost 0 inf + 82085 566.343 * * [simplify]: Extracting #13: cost 0 inf + 81845 566.357 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 566.358 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.358 * * * * [progress]: [ 2004 / 4754 ] simplifiying candidate # 566.358 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 566.359 * * [simplify]: iters left: 6 (42 enodes) 566.370 * * [simplify]: iters left: 5 (209 enodes) 566.416 * * [simplify]: Extracting #0: cost 1 inf + 0 566.416 * * [simplify]: Extracting #1: cost 3 inf + 0 566.416 * * [simplify]: Extracting #2: cost 6 inf + 0 566.416 * * [simplify]: Extracting #3: cost 10 inf + 0 566.417 * * [simplify]: Extracting #4: cost 20 inf + 0 566.417 * * [simplify]: Extracting #5: cost 131 inf + 0 566.417 * * [simplify]: Extracting #6: cost 274 inf + 1 566.418 * * [simplify]: Extracting #7: cost 280 inf + 2044 566.421 * * [simplify]: Extracting #8: cost 194 inf + 16642 566.428 * * [simplify]: Extracting #9: cost 106 inf + 41886 566.442 * * [simplify]: Extracting #10: cost 17 inf + 85507 566.461 * * [simplify]: Extracting #11: cost 0 inf + 93426 566.478 * * [simplify]: Extracting #12: cost 0 inf + 93106 566.496 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) 566.496 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.497 * * * * [progress]: [ 2005 / 4754 ] simplifiying candidate # 566.497 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 566.498 * * [simplify]: iters left: 6 (42 enodes) 566.509 * * [simplify]: iters left: 5 (209 enodes) 566.557 * * [simplify]: Extracting #0: cost 1 inf + 0 566.557 * * [simplify]: Extracting #1: cost 3 inf + 0 566.557 * * [simplify]: Extracting #2: cost 6 inf + 0 566.557 * * [simplify]: Extracting #3: cost 10 inf + 0 566.557 * * [simplify]: Extracting #4: cost 20 inf + 0 566.558 * * [simplify]: Extracting #5: cost 122 inf + 0 566.558 * * [simplify]: Extracting #6: cost 259 inf + 44 566.559 * * [simplify]: Extracting #7: cost 253 inf + 4365 566.564 * * [simplify]: Extracting #8: cost 142 inf + 25375 566.574 * * [simplify]: Extracting #9: cost 31 inf + 64869 566.590 * * [simplify]: Extracting #10: cost 2 inf + 82261 566.605 * * [simplify]: Extracting #11: cost 0 inf + 82565 566.622 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 566.622 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.623 * * * * [progress]: [ 2006 / 4754 ] simplifiying candidate # 566.623 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 566.623 * * [simplify]: iters left: 6 (49 enodes) 566.636 * * [simplify]: iters left: 5 (248 enodes) 566.693 * * [simplify]: Extracting #0: cost 1 inf + 0 566.693 * * [simplify]: Extracting #1: cost 3 inf + 0 566.693 * * [simplify]: Extracting #2: cost 6 inf + 0 566.693 * * [simplify]: Extracting #3: cost 10 inf + 0 566.693 * * [simplify]: Extracting #4: cost 16 inf + 0 566.694 * * [simplify]: Extracting #5: cost 116 inf + 0 566.694 * * [simplify]: Extracting #6: cost 291 inf + 0 566.695 * * [simplify]: Extracting #7: cost 327 inf + 1638 566.699 * * [simplify]: Extracting #8: cost 214 inf + 23138 566.706 * * [simplify]: Extracting #9: cost 143 inf + 43960 566.720 * * [simplify]: Extracting #10: cost 41 inf + 88635 566.740 * * [simplify]: Extracting #11: cost 2 inf + 112184 566.760 * * [simplify]: Extracting #12: cost 0 inf + 115634 566.782 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 566.782 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.783 * * * * [progress]: [ 2007 / 4754 ] simplifiying candidate # 566.783 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 566.783 * * [simplify]: iters left: 6 (49 enodes) 566.796 * * [simplify]: iters left: 5 (246 enodes) 566.855 * * [simplify]: Extracting #0: cost 1 inf + 0 566.855 * * [simplify]: Extracting #1: cost 3 inf + 0 566.855 * * [simplify]: Extracting #2: cost 6 inf + 0 566.855 * * [simplify]: Extracting #3: cost 10 inf + 0 566.855 * * [simplify]: Extracting #4: cost 16 inf + 0 566.856 * * [simplify]: Extracting #5: cost 119 inf + 0 566.856 * * [simplify]: Extracting #6: cost 286 inf + 0 566.857 * * [simplify]: Extracting #7: cost 315 inf + 2125 566.860 * * [simplify]: Extracting #8: cost 230 inf + 16871 566.868 * * [simplify]: Extracting #9: cost 146 inf + 45584 566.883 * * [simplify]: Extracting #10: cost 31 inf + 95930 566.903 * * [simplify]: Extracting #11: cost 2 inf + 116015 566.926 * * [simplify]: Extracting #12: cost 0 inf + 119785 566.948 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 566.948 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 566.948 * * * * [progress]: [ 2008 / 4754 ] simplifiying candidate # 566.949 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 566.949 * * [simplify]: iters left: 6 (47 enodes) 566.961 * * [simplify]: iters left: 5 (236 enodes) 567.014 * * [simplify]: Extracting #0: cost 1 inf + 0 567.014 * * [simplify]: Extracting #1: cost 3 inf + 0 567.014 * * [simplify]: Extracting #2: cost 6 inf + 0 567.014 * * [simplify]: Extracting #3: cost 10 inf + 0 567.014 * * [simplify]: Extracting #4: cost 16 inf + 0 567.014 * * [simplify]: Extracting #5: cost 115 inf + 0 567.014 * * [simplify]: Extracting #6: cost 275 inf + 0 567.016 * * [simplify]: Extracting #7: cost 291 inf + 2286 567.019 * * [simplify]: Extracting #8: cost 208 inf + 17279 567.025 * * [simplify]: Extracting #9: cost 131 inf + 40978 567.039 * * [simplify]: Extracting #10: cost 28 inf + 85730 567.057 * * [simplify]: Extracting #11: cost 0 inf + 105908 567.078 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 567.078 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 567.079 * * * * [progress]: [ 2009 / 4754 ] simplifiying candidate # 567.079 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 567.079 * * [simplify]: iters left: 6 (49 enodes) 567.092 * * [simplify]: iters left: 5 (248 enodes) 567.150 * * [simplify]: Extracting #0: cost 1 inf + 0 567.150 * * [simplify]: Extracting #1: cost 3 inf + 0 567.150 * * [simplify]: Extracting #2: cost 6 inf + 0 567.150 * * [simplify]: Extracting #3: cost 10 inf + 0 567.150 * * [simplify]: Extracting #4: cost 16 inf + 0 567.150 * * [simplify]: Extracting #5: cost 114 inf + 0 567.151 * * [simplify]: Extracting #6: cost 283 inf + 0 567.152 * * [simplify]: Extracting #7: cost 288 inf + 3623 567.157 * * [simplify]: Extracting #8: cost 177 inf + 26981 567.165 * * [simplify]: Extracting #9: cost 115 inf + 45034 567.178 * * [simplify]: Extracting #10: cost 26 inf + 82185 567.195 * * [simplify]: Extracting #11: cost 2 inf + 96690 567.215 * * [simplify]: Extracting #12: cost 0 inf + 100140 567.233 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))) 567.233 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 567.234 * * * * [progress]: [ 2010 / 4754 ] simplifiying candidate # 567.234 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 567.234 * * [simplify]: iters left: 6 (49 enodes) 567.247 * * [simplify]: iters left: 5 (248 enodes) 567.304 * * [simplify]: Extracting #0: cost 1 inf + 0 567.304 * * [simplify]: Extracting #1: cost 3 inf + 0 567.304 * * [simplify]: Extracting #2: cost 6 inf + 0 567.304 * * [simplify]: Extracting #3: cost 10 inf + 0 567.304 * * [simplify]: Extracting #4: cost 20 inf + 0 567.304 * * [simplify]: Extracting #5: cost 138 inf + 0 567.305 * * [simplify]: Extracting #6: cost 299 inf + 1 567.306 * * [simplify]: Extracting #7: cost 307 inf + 2895 567.311 * * [simplify]: Extracting #8: cost 201 inf + 25920 567.318 * * [simplify]: Extracting #9: cost 132 inf + 47033 567.332 * * [simplify]: Extracting #10: cost 39 inf + 86620 567.351 * * [simplify]: Extracting #11: cost 3 inf + 106266 567.373 * * [simplify]: Extracting #12: cost 0 inf + 110901 567.398 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 567.398 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 567.398 * * * * [progress]: [ 2011 / 4754 ] simplifiying candidate # 567.399 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 567.399 * * [simplify]: iters left: 6 (49 enodes) 567.411 * * [simplify]: iters left: 5 (248 enodes) 567.468 * * [simplify]: Extracting #0: cost 1 inf + 0 567.468 * * [simplify]: Extracting #1: cost 3 inf + 0 567.468 * * [simplify]: Extracting #2: cost 6 inf + 0 567.468 * * [simplify]: Extracting #3: cost 10 inf + 0 567.468 * * [simplify]: Extracting #4: cost 20 inf + 0 567.468 * * [simplify]: Extracting #5: cost 130 inf + 0 567.469 * * [simplify]: Extracting #6: cost 285 inf + 44 567.470 * * [simplify]: Extracting #7: cost 287 inf + 3392 567.474 * * [simplify]: Extracting #8: cost 192 inf + 22346 567.481 * * [simplify]: Extracting #9: cost 108 inf + 48778 567.494 * * [simplify]: Extracting #10: cost 32 inf + 79504 567.510 * * [simplify]: Extracting #11: cost 5 inf + 91540 567.529 * * [simplify]: Extracting #12: cost 2 inf + 96015 567.547 * * [simplify]: Extracting #13: cost 0 inf + 99545 567.564 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 567.564 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 567.565 * * * * [progress]: [ 2012 / 4754 ] simplifiying candidate # 567.565 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 567.565 * * [simplify]: iters left: 6 (49 enodes) 567.577 * * [simplify]: iters left: 5 (248 enodes) 567.632 * * [simplify]: Extracting #0: cost 1 inf + 0 567.632 * * [simplify]: Extracting #1: cost 3 inf + 0 567.632 * * [simplify]: Extracting #2: cost 6 inf + 0 567.632 * * [simplify]: Extracting #3: cost 10 inf + 0 567.633 * * [simplify]: Extracting #4: cost 20 inf + 0 567.633 * * [simplify]: Extracting #5: cost 138 inf + 0 567.633 * * [simplify]: Extracting #6: cost 299 inf + 1 567.635 * * [simplify]: Extracting #7: cost 307 inf + 3139 567.639 * * [simplify]: Extracting #8: cost 199 inf + 26765 567.647 * * [simplify]: Extracting #9: cost 132 inf + 47753 567.661 * * [simplify]: Extracting #10: cost 39 inf + 87340 567.682 * * [simplify]: Extracting #11: cost 3 inf + 106986 567.702 * * [simplify]: Extracting #12: cost 0 inf + 111621 567.722 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 567.722 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 567.722 * * * * [progress]: [ 2013 / 4754 ] simplifiying candidate # 567.723 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 567.723 * * [simplify]: iters left: 6 (49 enodes) 567.735 * * [simplify]: iters left: 5 (248 enodes) 567.789 * * [simplify]: Extracting #0: cost 1 inf + 0 567.789 * * [simplify]: Extracting #1: cost 3 inf + 0 567.789 * * [simplify]: Extracting #2: cost 6 inf + 0 567.789 * * [simplify]: Extracting #3: cost 10 inf + 0 567.789 * * [simplify]: Extracting #4: cost 20 inf + 0 567.790 * * [simplify]: Extracting #5: cost 129 inf + 0 567.790 * * [simplify]: Extracting #6: cost 285 inf + 44 567.792 * * [simplify]: Extracting #7: cost 289 inf + 3428 567.796 * * [simplify]: Extracting #8: cost 187 inf + 24365 567.803 * * [simplify]: Extracting #9: cost 108 inf + 49179 567.819 * * [simplify]: Extracting #10: cost 31 inf + 80049 567.834 * * [simplify]: Extracting #11: cost 5 inf + 91780 567.851 * * [simplify]: Extracting #12: cost 2 inf + 96255 567.869 * * [simplify]: Extracting #13: cost 0 inf + 99785 567.886 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 567.886 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 567.887 * * * * [progress]: [ 2014 / 4754 ] simplifiying candidate # 567.887 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 567.887 * * [simplify]: iters left: 6 (42 enodes) 567.899 * * [simplify]: iters left: 5 (210 enodes) 567.944 * * [simplify]: Extracting #0: cost 1 inf + 0 567.945 * * [simplify]: Extracting #1: cost 3 inf + 0 567.945 * * [simplify]: Extracting #2: cost 6 inf + 0 567.945 * * [simplify]: Extracting #3: cost 10 inf + 0 567.945 * * [simplify]: Extracting #4: cost 16 inf + 0 567.945 * * [simplify]: Extracting #5: cost 109 inf + 0 567.945 * * [simplify]: Extracting #6: cost 265 inf + 0 567.946 * * [simplify]: Extracting #7: cost 298 inf + 1432 567.950 * * [simplify]: Extracting #8: cost 177 inf + 24824 567.964 * * [simplify]: Extracting #9: cost 46 inf + 70132 567.980 * * [simplify]: Extracting #10: cost 9 inf + 89031 567.998 * * [simplify]: Extracting #11: cost 2 inf + 96351 568.017 * * [simplify]: Extracting #12: cost 0 inf + 98881 568.035 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 568.035 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.036 * * * * [progress]: [ 2015 / 4754 ] simplifiying candidate # 568.036 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 568.036 * * [simplify]: iters left: 6 (42 enodes) 568.048 * * [simplify]: iters left: 5 (208 enodes) 568.095 * * [simplify]: Extracting #0: cost 1 inf + 0 568.095 * * [simplify]: Extracting #1: cost 3 inf + 0 568.095 * * [simplify]: Extracting #2: cost 6 inf + 0 568.095 * * [simplify]: Extracting #3: cost 10 inf + 0 568.095 * * [simplify]: Extracting #4: cost 16 inf + 0 568.095 * * [simplify]: Extracting #5: cost 112 inf + 0 568.096 * * [simplify]: Extracting #6: cost 258 inf + 0 568.097 * * [simplify]: Extracting #7: cost 282 inf + 2285 568.100 * * [simplify]: Extracting #8: cost 202 inf + 15228 568.106 * * [simplify]: Extracting #9: cost 123 inf + 38861 568.123 * * [simplify]: Extracting #10: cost 24 inf + 85964 568.141 * * [simplify]: Extracting #11: cost 0 inf + 98723 568.159 * * [simplify]: Extracting #12: cost 0 inf + 98643 568.177 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 568.178 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.178 * * * * [progress]: [ 2016 / 4754 ] simplifiying candidate # 568.178 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 568.179 * * [simplify]: iters left: 6 (40 enodes) 568.189 * * [simplify]: iters left: 5 (197 enodes) 568.232 * * [simplify]: Extracting #0: cost 1 inf + 0 568.232 * * [simplify]: Extracting #1: cost 3 inf + 0 568.232 * * [simplify]: Extracting #2: cost 6 inf + 0 568.233 * * [simplify]: Extracting #3: cost 10 inf + 0 568.233 * * [simplify]: Extracting #4: cost 16 inf + 0 568.233 * * [simplify]: Extracting #5: cost 106 inf + 0 568.233 * * [simplify]: Extracting #6: cost 245 inf + 0 568.234 * * [simplify]: Extracting #7: cost 255 inf + 2325 568.236 * * [simplify]: Extracting #8: cost 182 inf + 13895 568.242 * * [simplify]: Extracting #9: cost 109 inf + 35465 568.254 * * [simplify]: Extracting #10: cost 27 inf + 71545 568.272 * * [simplify]: Extracting #11: cost 2 inf + 85527 568.288 * * [simplify]: Extracting #12: cost 0 inf + 87737 568.305 * * [simplify]: Extracting #13: cost 0 inf + 87657 568.322 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) 568.323 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.323 * * * * [progress]: [ 2017 / 4754 ] simplifiying candidate # 568.323 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 568.324 * * [simplify]: iters left: 6 (42 enodes) 568.334 * * [simplify]: iters left: 5 (210 enodes) 568.382 * * [simplify]: Extracting #0: cost 1 inf + 0 568.382 * * [simplify]: Extracting #1: cost 3 inf + 0 568.382 * * [simplify]: Extracting #2: cost 6 inf + 0 568.382 * * [simplify]: Extracting #3: cost 10 inf + 0 568.382 * * [simplify]: Extracting #4: cost 16 inf + 0 568.382 * * [simplify]: Extracting #5: cost 107 inf + 0 568.382 * * [simplify]: Extracting #6: cost 257 inf + 0 568.383 * * [simplify]: Extracting #7: cost 264 inf + 2202 568.388 * * [simplify]: Extracting #8: cost 134 inf + 29615 568.399 * * [simplify]: Extracting #9: cost 32 inf + 64719 568.414 * * [simplify]: Extracting #10: cost 2 inf + 81937 568.433 * * [simplify]: Extracting #11: cost 0 inf + 84427 568.449 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)))))))) 568.449 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))))) (cbrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.450 * * * * [progress]: [ 2018 / 4754 ] simplifiying candidate # 568.450 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 568.450 * * [simplify]: iters left: 6 (42 enodes) 568.461 * * [simplify]: iters left: 5 (210 enodes) 568.509 * * [simplify]: Extracting #0: cost 1 inf + 0 568.509 * * [simplify]: Extracting #1: cost 3 inf + 0 568.509 * * [simplify]: Extracting #2: cost 6 inf + 0 568.509 * * [simplify]: Extracting #3: cost 10 inf + 0 568.509 * * [simplify]: Extracting #4: cost 20 inf + 0 568.510 * * [simplify]: Extracting #5: cost 131 inf + 0 568.510 * * [simplify]: Extracting #6: cost 273 inf + 1 568.511 * * [simplify]: Extracting #7: cost 273 inf + 2977 568.515 * * [simplify]: Extracting #8: cost 177 inf + 20085 568.522 * * [simplify]: Extracting #9: cost 107 inf + 41327 568.535 * * [simplify]: Extracting #10: cost 17 inf + 83269 568.552 * * [simplify]: Extracting #11: cost 0 inf + 93228 568.570 * * [simplify]: Extracting #12: cost 0 inf + 92468 568.589 * * [simplify]: Extracting #13: cost 0 inf + 92388 568.606 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 568.607 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.607 * * * * [progress]: [ 2019 / 4754 ] simplifiying candidate # 568.607 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 568.608 * * [simplify]: iters left: 6 (42 enodes) 568.619 * * [simplify]: iters left: 5 (210 enodes) 568.668 * * [simplify]: Extracting #0: cost 1 inf + 0 568.668 * * [simplify]: Extracting #1: cost 3 inf + 0 568.668 * * [simplify]: Extracting #2: cost 6 inf + 0 568.668 * * [simplify]: Extracting #3: cost 10 inf + 0 568.668 * * [simplify]: Extracting #4: cost 20 inf + 0 568.668 * * [simplify]: Extracting #5: cost 123 inf + 0 568.669 * * [simplify]: Extracting #6: cost 259 inf + 44 568.670 * * [simplify]: Extracting #7: cost 264 inf + 2583 568.673 * * [simplify]: Extracting #8: cost 167 inf + 17971 568.679 * * [simplify]: Extracting #9: cost 98 inf + 38462 568.692 * * [simplify]: Extracting #10: cost 19 inf + 74078 568.707 * * [simplify]: Extracting #11: cost 0 inf + 83192 568.723 * * [simplify]: Extracting #12: cost 0 inf + 82552 568.741 * * [simplify]: Extracting #13: cost 0 inf + 82472 568.756 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 568.756 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.757 * * * * [progress]: [ 2020 / 4754 ] simplifiying candidate # 568.757 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 568.757 * * [simplify]: iters left: 6 (42 enodes) 568.768 * * [simplify]: iters left: 5 (210 enodes) 568.817 * * [simplify]: Extracting #0: cost 1 inf + 0 568.817 * * [simplify]: Extracting #1: cost 3 inf + 0 568.817 * * [simplify]: Extracting #2: cost 6 inf + 0 568.817 * * [simplify]: Extracting #3: cost 10 inf + 0 568.817 * * [simplify]: Extracting #4: cost 20 inf + 0 568.817 * * [simplify]: Extracting #5: cost 131 inf + 0 568.818 * * [simplify]: Extracting #6: cost 273 inf + 1 568.819 * * [simplify]: Extracting #7: cost 275 inf + 2811 568.822 * * [simplify]: Extracting #8: cost 178 inf + 20162 568.829 * * [simplify]: Extracting #9: cost 107 inf + 41967 568.843 * * [simplify]: Extracting #10: cost 18 inf + 83444 568.860 * * [simplify]: Extracting #11: cost 0 inf + 93868 568.878 * * [simplify]: Extracting #12: cost 0 inf + 93108 568.897 * * [simplify]: Extracting #13: cost 0 inf + 93028 568.914 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 568.914 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 568.915 * * * * [progress]: [ 2021 / 4754 ] simplifiying candidate # 568.916 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 568.916 * * [simplify]: iters left: 6 (42 enodes) 568.927 * * [simplify]: iters left: 5 (210 enodes) 568.978 * * [simplify]: Extracting #0: cost 1 inf + 0 568.978 * * [simplify]: Extracting #1: cost 3 inf + 0 568.978 * * [simplify]: Extracting #2: cost 6 inf + 0 568.978 * * [simplify]: Extracting #3: cost 10 inf + 0 568.979 * * [simplify]: Extracting #4: cost 20 inf + 0 568.979 * * [simplify]: Extracting #5: cost 122 inf + 0 568.979 * * [simplify]: Extracting #6: cost 259 inf + 44 568.980 * * [simplify]: Extracting #7: cost 265 inf + 2499 568.983 * * [simplify]: Extracting #8: cost 177 inf + 16097 568.990 * * [simplify]: Extracting #9: cost 102 inf + 37587 569.002 * * [simplify]: Extracting #10: cost 18 inf + 74743 569.018 * * [simplify]: Extracting #11: cost 0 inf + 83592 569.034 * * [simplify]: Extracting #12: cost 0 inf + 82952 569.050 * * [simplify]: Extracting #13: cost 0 inf + 82872 569.067 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 569.067 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.067 * * * * [progress]: [ 2022 / 4754 ] simplifiying candidate # 569.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 569.068 * * [simplify]: iters left: 6 (42 enodes) 569.078 * * [simplify]: iters left: 5 (212 enodes) 569.128 * * [simplify]: Extracting #0: cost 1 inf + 0 569.128 * * [simplify]: Extracting #1: cost 3 inf + 0 569.128 * * [simplify]: Extracting #2: cost 6 inf + 0 569.129 * * [simplify]: Extracting #3: cost 10 inf + 0 569.129 * * [simplify]: Extracting #4: cost 16 inf + 0 569.129 * * [simplify]: Extracting #5: cost 104 inf + 0 569.129 * * [simplify]: Extracting #6: cost 260 inf + 2 569.130 * * [simplify]: Extracting #7: cost 266 inf + 2165 569.132 * * [simplify]: Extracting #8: cost 183 inf + 12912 569.138 * * [simplify]: Extracting #9: cost 105 inf + 35423 569.148 * * [simplify]: Extracting #10: cost 27 inf + 65193 569.162 * * [simplify]: Extracting #11: cost 2 inf + 77880 569.177 * * [simplify]: Extracting #12: cost 0 inf + 81010 569.192 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 569.192 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.193 * * * * [progress]: [ 2023 / 4754 ] simplifiying candidate # 569.193 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 569.194 * * [simplify]: iters left: 6 (42 enodes) 569.206 * * [simplify]: iters left: 5 (210 enodes) 569.249 * * [simplify]: Extracting #0: cost 1 inf + 0 569.250 * * [simplify]: Extracting #1: cost 3 inf + 0 569.250 * * [simplify]: Extracting #2: cost 6 inf + 0 569.250 * * [simplify]: Extracting #3: cost 10 inf + 0 569.250 * * [simplify]: Extracting #4: cost 19 inf + 0 569.250 * * [simplify]: Extracting #5: cost 111 inf + 0 569.250 * * [simplify]: Extracting #6: cost 261 inf + 0 569.252 * * [simplify]: Extracting #7: cost 251 inf + 4952 569.255 * * [simplify]: Extracting #8: cost 153 inf + 22917 569.266 * * [simplify]: Extracting #9: cost 32 inf + 61822 569.283 * * [simplify]: Extracting #10: cost 4 inf + 75141 569.298 * * [simplify]: Extracting #11: cost 0 inf + 77935 569.312 * [simplify]: Simplified to (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) 569.312 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.312 * * * * [progress]: [ 2024 / 4754 ] simplifiying candidate # 569.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 569.313 * * [simplify]: iters left: 6 (48 enodes) 569.325 * * [simplify]: iters left: 5 (258 enodes) 569.387 * * [simplify]: Extracting #0: cost 1 inf + 0 569.387 * * [simplify]: Extracting #1: cost 3 inf + 0 569.387 * * [simplify]: Extracting #2: cost 6 inf + 0 569.387 * * [simplify]: Extracting #3: cost 10 inf + 0 569.387 * * [simplify]: Extracting #4: cost 16 inf + 0 569.387 * * [simplify]: Extracting #5: cost 120 inf + 0 569.388 * * [simplify]: Extracting #6: cost 310 inf + 0 569.390 * * [simplify]: Extracting #7: cost 345 inf + 3789 569.395 * * [simplify]: Extracting #8: cost 206 inf + 36395 569.410 * * [simplify]: Extracting #9: cost 62 inf + 88250 569.433 * * [simplify]: Extracting #10: cost 7 inf + 116418 569.454 * * [simplify]: Extracting #11: cost 0 inf + 119528 569.476 * * [simplify]: Extracting #12: cost 0 inf + 119448 569.497 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 569.497 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.498 * * * * [progress]: [ 2025 / 4754 ] simplifiying candidate # 569.498 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 569.499 * * [simplify]: iters left: 6 (48 enodes) 569.513 * * [simplify]: iters left: 5 (256 enodes) 569.571 * * [simplify]: Extracting #0: cost 1 inf + 0 569.572 * * [simplify]: Extracting #1: cost 3 inf + 0 569.572 * * [simplify]: Extracting #2: cost 6 inf + 0 569.572 * * [simplify]: Extracting #3: cost 10 inf + 0 569.572 * * [simplify]: Extracting #4: cost 16 inf + 0 569.572 * * [simplify]: Extracting #5: cost 115 inf + 0 569.572 * * [simplify]: Extracting #6: cost 304 inf + 0 569.577 * * [simplify]: Extracting #7: cost 327 inf + 4802 569.583 * * [simplify]: Extracting #8: cost 197 inf + 34175 569.598 * * [simplify]: Extracting #9: cost 45 inf + 89636 569.618 * * [simplify]: Extracting #10: cost 3 inf + 112028 569.638 * * [simplify]: Extracting #11: cost 0 inf + 113869 569.659 * * [simplify]: Extracting #12: cost 0 inf + 113829 569.680 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 569.680 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.680 * * * * [progress]: [ 2026 / 4754 ] simplifiying candidate # 569.681 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 569.681 * * [simplify]: iters left: 6 (48 enodes) 569.693 * * [simplify]: iters left: 5 (256 enodes) 569.754 * * [simplify]: Extracting #0: cost 1 inf + 0 569.754 * * [simplify]: Extracting #1: cost 3 inf + 0 569.754 * * [simplify]: Extracting #2: cost 6 inf + 0 569.754 * * [simplify]: Extracting #3: cost 10 inf + 0 569.754 * * [simplify]: Extracting #4: cost 16 inf + 0 569.754 * * [simplify]: Extracting #5: cost 118 inf + 0 569.755 * * [simplify]: Extracting #6: cost 302 inf + 0 569.756 * * [simplify]: Extracting #7: cost 329 inf + 3145 569.760 * * [simplify]: Extracting #8: cost 224 inf + 21644 569.771 * * [simplify]: Extracting #9: cost 81 inf + 70327 569.789 * * [simplify]: Extracting #10: cost 11 inf + 103614 569.812 * * [simplify]: Extracting #11: cost 0 inf + 111131 569.832 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (- phi1 phi2) (+ phi1 phi2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 569.832 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (- phi1 phi2) (+ phi1 phi2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.833 * * * * [progress]: [ 2027 / 4754 ] simplifiying candidate # 569.833 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 569.833 * * [simplify]: iters left: 6 (40 enodes) 569.844 * * [simplify]: iters left: 5 (212 enodes) 569.896 * * [simplify]: Extracting #0: cost 1 inf + 0 569.896 * * [simplify]: Extracting #1: cost 3 inf + 0 569.896 * * [simplify]: Extracting #2: cost 6 inf + 0 569.896 * * [simplify]: Extracting #3: cost 10 inf + 0 569.896 * * [simplify]: Extracting #4: cost 16 inf + 0 569.897 * * [simplify]: Extracting #5: cost 111 inf + 0 569.897 * * [simplify]: Extracting #6: cost 271 inf + 0 569.898 * * [simplify]: Extracting #7: cost 283 inf + 3182 569.902 * * [simplify]: Extracting #8: cost 200 inf + 17584 569.909 * * [simplify]: Extracting #9: cost 116 inf + 42207 569.923 * * [simplify]: Extracting #10: cost 13 inf + 84299 569.940 * * [simplify]: Extracting #11: cost 2 inf + 91161 569.959 * * [simplify]: Extracting #12: cost 0 inf + 93651 569.977 * * [simplify]: Extracting #13: cost 0 inf + 93571 569.994 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) 569.995 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 569.995 * * * * [progress]: [ 2028 / 4754 ] simplifiying candidate # 569.995 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 569.996 * * [simplify]: iters left: 6 (48 enodes) 570.008 * * [simplify]: iters left: 5 (254 enodes) 570.067 * * [simplify]: Extracting #0: cost 1 inf + 0 570.067 * * [simplify]: Extracting #1: cost 3 inf + 0 570.067 * * [simplify]: Extracting #2: cost 6 inf + 0 570.067 * * [simplify]: Extracting #3: cost 10 inf + 0 570.067 * * [simplify]: Extracting #4: cost 20 inf + 0 570.067 * * [simplify]: Extracting #5: cost 140 inf + 0 570.068 * * [simplify]: Extracting #6: cost 299 inf + 44 570.069 * * [simplify]: Extracting #7: cost 305 inf + 4731 570.073 * * [simplify]: Extracting #8: cost 216 inf + 21676 570.081 * * [simplify]: Extracting #9: cost 121 inf + 51568 570.098 * * [simplify]: Extracting #10: cost 10 inf + 99361 570.119 * * [simplify]: Extracting #11: cost 3 inf + 103470 570.138 * * [simplify]: Extracting #12: cost 0 inf + 108265 570.158 * * [simplify]: Extracting #13: cost 0 inf + 108145 570.178 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 570.178 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 570.178 * * * * [progress]: [ 2029 / 4754 ] simplifiying candidate # 570.179 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 570.179 * * [simplify]: iters left: 6 (42 enodes) 570.192 * * [simplify]: iters left: 5 (220 enodes) 570.240 * * [simplify]: Extracting #0: cost 1 inf + 0 570.240 * * [simplify]: Extracting #1: cost 3 inf + 0 570.240 * * [simplify]: Extracting #2: cost 6 inf + 0 570.240 * * [simplify]: Extracting #3: cost 10 inf + 0 570.240 * * [simplify]: Extracting #4: cost 20 inf + 0 570.240 * * [simplify]: Extracting #5: cost 125 inf + 0 570.241 * * [simplify]: Extracting #6: cost 267 inf + 44 570.242 * * [simplify]: Extracting #7: cost 275 inf + 4078 570.247 * * [simplify]: Extracting #8: cost 136 inf + 35821 570.262 * * [simplify]: Extracting #9: cost 35 inf + 71962 570.279 * * [simplify]: Extracting #10: cost 3 inf + 88622 570.295 * * [simplify]: Extracting #11: cost 0 inf + 89229 570.313 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 570.313 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 570.313 * * * * [progress]: [ 2030 / 4754 ] simplifiying candidate # 570.313 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 570.314 * * [simplify]: iters left: 6 (48 enodes) 570.326 * * [simplify]: iters left: 5 (254 enodes) 570.384 * * [simplify]: Extracting #0: cost 1 inf + 0 570.384 * * [simplify]: Extracting #1: cost 3 inf + 0 570.384 * * [simplify]: Extracting #2: cost 6 inf + 0 570.384 * * [simplify]: Extracting #3: cost 10 inf + 0 570.384 * * [simplify]: Extracting #4: cost 20 inf + 0 570.384 * * [simplify]: Extracting #5: cost 140 inf + 0 570.385 * * [simplify]: Extracting #6: cost 299 inf + 44 570.386 * * [simplify]: Extracting #7: cost 307 inf + 4167 570.391 * * [simplify]: Extracting #8: cost 208 inf + 24303 570.399 * * [simplify]: Extracting #9: cost 120 inf + 51815 570.418 * * [simplify]: Extracting #10: cost 12 inf + 98431 570.436 * * [simplify]: Extracting #11: cost 3 inf + 104190 570.455 * * [simplify]: Extracting #12: cost 0 inf + 108985 570.476 * * [simplify]: Extracting #13: cost 0 inf + 108865 570.496 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 570.496 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 570.497 * * * * [progress]: [ 2031 / 4754 ] simplifiying candidate # 570.497 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 570.497 * * [simplify]: iters left: 6 (42 enodes) 570.508 * * [simplify]: iters left: 5 (220 enodes) 570.556 * * [simplify]: Extracting #0: cost 1 inf + 0 570.556 * * [simplify]: Extracting #1: cost 3 inf + 0 570.558 * * [simplify]: Extracting #2: cost 6 inf + 0 570.558 * * [simplify]: Extracting #3: cost 10 inf + 0 570.558 * * [simplify]: Extracting #4: cost 20 inf + 0 570.558 * * [simplify]: Extracting #5: cost 124 inf + 0 570.559 * * [simplify]: Extracting #6: cost 267 inf + 44 570.560 * * [simplify]: Extracting #7: cost 277 inf + 3589 570.566 * * [simplify]: Extracting #8: cost 134 inf + 36872 570.579 * * [simplify]: Extracting #9: cost 32 inf + 73237 570.595 * * [simplify]: Extracting #10: cost 4 inf + 88399 570.612 * * [simplify]: Extracting #11: cost 0 inf + 89469 570.629 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 570.629 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 570.630 * * * * [progress]: [ 2032 / 4754 ] simplifiying candidate # 570.630 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 570.630 * * [simplify]: iters left: 6 (48 enodes) 570.644 * * [simplify]: iters left: 5 (253 enodes) 570.701 * * [simplify]: Extracting #0: cost 1 inf + 0 570.701 * * [simplify]: Extracting #1: cost 3 inf + 0 570.701 * * [simplify]: Extracting #2: cost 6 inf + 0 570.701 * * [simplify]: Extracting #3: cost 10 inf + 0 570.701 * * [simplify]: Extracting #4: cost 16 inf + 0 570.701 * * [simplify]: Extracting #5: cost 114 inf + 0 570.702 * * [simplify]: Extracting #6: cost 293 inf + 0 570.705 * * [simplify]: Extracting #7: cost 332 inf + 2493 570.708 * * [simplify]: Extracting #8: cost 244 inf + 16010 570.715 * * [simplify]: Extracting #9: cost 138 inf + 44504 570.730 * * [simplify]: Extracting #10: cost 28 inf + 90653 570.749 * * [simplify]: Extracting #11: cost 2 inf + 109283 570.770 * * [simplify]: Extracting #12: cost 0 inf + 112613 570.792 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 570.792 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 570.793 * * * * [progress]: [ 2033 / 4754 ] simplifiying candidate # 570.793 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 570.794 * * [simplify]: iters left: 6 (48 enodes) 570.806 * * [simplify]: iters left: 5 (255 enodes) 570.867 * * [simplify]: Extracting #0: cost 1 inf + 0 570.867 * * [simplify]: Extracting #1: cost 3 inf + 0 570.867 * * [simplify]: Extracting #2: cost 6 inf + 0 570.867 * * [simplify]: Extracting #3: cost 10 inf + 0 570.867 * * [simplify]: Extracting #4: cost 16 inf + 0 570.867 * * [simplify]: Extracting #5: cost 115 inf + 0 570.868 * * [simplify]: Extracting #6: cost 304 inf + 0 570.869 * * [simplify]: Extracting #7: cost 331 inf + 3910 570.875 * * [simplify]: Extracting #8: cost 184 inf + 37311 570.890 * * [simplify]: Extracting #9: cost 36 inf + 91859 570.910 * * [simplify]: Extracting #10: cost 4 inf + 109261 570.931 * * [simplify]: Extracting #11: cost 0 inf + 113468 570.953 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 570.953 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 570.954 * * * * [progress]: [ 2034 / 4754 ] simplifiying candidate # 570.954 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 570.954 * * [simplify]: iters left: 6 (48 enodes) 570.967 * * [simplify]: iters left: 5 (255 enodes) 571.028 * * [simplify]: Extracting #0: cost 1 inf + 0 571.028 * * [simplify]: Extracting #1: cost 3 inf + 0 571.028 * * [simplify]: Extracting #2: cost 6 inf + 0 571.028 * * [simplify]: Extracting #3: cost 10 inf + 0 571.029 * * [simplify]: Extracting #4: cost 16 inf + 0 571.029 * * [simplify]: Extracting #5: cost 118 inf + 0 571.029 * * [simplify]: Extracting #6: cost 302 inf + 0 571.030 * * [simplify]: Extracting #7: cost 336 inf + 1915 571.033 * * [simplify]: Extracting #8: cost 252 inf + 13897 571.043 * * [simplify]: Extracting #9: cost 99 inf + 66321 571.062 * * [simplify]: Extracting #10: cost 6 inf + 104724 571.085 * * [simplify]: Extracting #11: cost 1 inf + 108983 571.105 * * [simplify]: Extracting #12: cost 0 inf + 110488 571.125 * * [simplify]: Extracting #13: cost 0 inf + 110368 571.145 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 571.145 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 571.146 * * * * [progress]: [ 2035 / 4754 ] simplifiying candidate # 571.146 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 571.146 * * [simplify]: iters left: 6 (40 enodes) 571.157 * * [simplify]: iters left: 5 (205 enodes) 571.203 * * [simplify]: Extracting #0: cost 1 inf + 0 571.203 * * [simplify]: Extracting #1: cost 3 inf + 0 571.203 * * [simplify]: Extracting #2: cost 6 inf + 0 571.203 * * [simplify]: Extracting #3: cost 10 inf + 0 571.203 * * [simplify]: Extracting #4: cost 16 inf + 0 571.203 * * [simplify]: Extracting #5: cost 102 inf + 0 571.204 * * [simplify]: Extracting #6: cost 245 inf + 0 571.205 * * [simplify]: Extracting #7: cost 249 inf + 4154 571.209 * * [simplify]: Extracting #8: cost 155 inf + 20466 571.215 * * [simplify]: Extracting #9: cost 98 inf + 37856 571.228 * * [simplify]: Extracting #10: cost 13 inf + 74275 571.251 * * [simplify]: Extracting #11: cost 2 inf + 81202 571.267 * * [simplify]: Extracting #12: cost 0 inf + 83972 571.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 571.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 571.284 * * * * [progress]: [ 2036 / 4754 ] simplifiying candidate # 571.284 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 571.284 * * [simplify]: iters left: 6 (48 enodes) 571.296 * * [simplify]: iters left: 5 (253 enodes) 571.355 * * [simplify]: Extracting #0: cost 1 inf + 0 571.355 * * [simplify]: Extracting #1: cost 3 inf + 0 571.355 * * [simplify]: Extracting #2: cost 6 inf + 0 571.355 * * [simplify]: Extracting #3: cost 10 inf + 0 571.355 * * [simplify]: Extracting #4: cost 20 inf + 0 571.356 * * [simplify]: Extracting #5: cost 138 inf + 0 571.356 * * [simplify]: Extracting #6: cost 297 inf + 44 571.358 * * [simplify]: Extracting #7: cost 301 inf + 4289 571.362 * * [simplify]: Extracting #8: cost 180 inf + 29750 571.375 * * [simplify]: Extracting #9: cost 51 inf + 77191 571.396 * * [simplify]: Extracting #10: cost 8 inf + 101079 571.415 * * [simplify]: Extracting #11: cost 0 inf + 106598 571.434 * * [simplify]: Extracting #12: cost 0 inf + 106518 571.453 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 571.453 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 571.454 * * * * [progress]: [ 2037 / 4754 ] simplifiying candidate # 571.454 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 571.454 * * [simplify]: iters left: 6 (42 enodes) 571.465 * * [simplify]: iters left: 5 (218 enodes) 571.515 * * [simplify]: Extracting #0: cost 1 inf + 0 571.515 * * [simplify]: Extracting #1: cost 3 inf + 0 571.515 * * [simplify]: Extracting #2: cost 6 inf + 0 571.515 * * [simplify]: Extracting #3: cost 10 inf + 0 571.515 * * [simplify]: Extracting #4: cost 20 inf + 0 571.515 * * [simplify]: Extracting #5: cost 124 inf + 0 571.516 * * [simplify]: Extracting #6: cost 261 inf + 44 571.517 * * [simplify]: Extracting #7: cost 262 inf + 4278 571.520 * * [simplify]: Extracting #8: cost 180 inf + 17077 571.527 * * [simplify]: Extracting #9: cost 102 inf + 39956 571.540 * * [simplify]: Extracting #10: cost 6 inf + 78753 571.559 * * [simplify]: Extracting #11: cost 1 inf + 84398 571.575 * * [simplify]: Extracting #12: cost 0 inf + 85623 571.592 * * [simplify]: Extracting #13: cost 0 inf + 85583 571.609 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))))) 571.609 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 571.610 * * * * [progress]: [ 2038 / 4754 ] simplifiying candidate # 571.610 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 571.610 * * [simplify]: iters left: 6 (48 enodes) 571.623 * * [simplify]: iters left: 5 (253 enodes) 571.681 * * [simplify]: Extracting #0: cost 1 inf + 0 571.681 * * [simplify]: Extracting #1: cost 3 inf + 0 571.681 * * [simplify]: Extracting #2: cost 6 inf + 0 571.681 * * [simplify]: Extracting #3: cost 10 inf + 0 571.681 * * [simplify]: Extracting #4: cost 20 inf + 0 571.681 * * [simplify]: Extracting #5: cost 138 inf + 0 571.682 * * [simplify]: Extracting #6: cost 297 inf + 44 571.683 * * [simplify]: Extracting #7: cost 302 inf + 4127 571.688 * * [simplify]: Extracting #8: cost 178 inf + 30275 571.704 * * [simplify]: Extracting #9: cost 52 inf + 77507 571.722 * * [simplify]: Extracting #10: cost 8 inf + 101879 571.741 * * [simplify]: Extracting #11: cost 0 inf + 107398 571.761 * * [simplify]: Extracting #12: cost 0 inf + 107318 571.780 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 571.781 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 571.781 * * * * [progress]: [ 2039 / 4754 ] simplifiying candidate # 571.782 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 571.782 * * [simplify]: iters left: 6 (42 enodes) 571.793 * * [simplify]: iters left: 5 (218 enodes) 571.840 * * [simplify]: Extracting #0: cost 1 inf + 0 571.840 * * [simplify]: Extracting #1: cost 3 inf + 0 571.840 * * [simplify]: Extracting #2: cost 6 inf + 0 571.840 * * [simplify]: Extracting #3: cost 10 inf + 0 571.840 * * [simplify]: Extracting #4: cost 20 inf + 0 571.841 * * [simplify]: Extracting #5: cost 123 inf + 0 571.841 * * [simplify]: Extracting #6: cost 261 inf + 44 571.842 * * [simplify]: Extracting #7: cost 268 inf + 3307 571.847 * * [simplify]: Extracting #8: cost 187 inf + 15580 571.854 * * [simplify]: Extracting #9: cost 104 inf + 39408 571.867 * * [simplify]: Extracting #10: cost 8 inf + 77705 571.886 * * [simplify]: Extracting #11: cost 1 inf + 84718 571.902 * * [simplify]: Extracting #12: cost 0 inf + 85943 571.918 * * [simplify]: Extracting #13: cost 0 inf + 85903 571.935 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) 571.935 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 571.936 * * * * [progress]: [ 2040 / 4754 ] simplifiying candidate # 571.936 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 571.936 * * [simplify]: iters left: 6 (48 enodes) 571.949 * * [simplify]: iters left: 5 (254 enodes) 572.009 * * [simplify]: Extracting #0: cost 1 inf + 0 572.009 * * [simplify]: Extracting #1: cost 3 inf + 0 572.009 * * [simplify]: Extracting #2: cost 6 inf + 0 572.010 * * [simplify]: Extracting #3: cost 10 inf + 0 572.010 * * [simplify]: Extracting #4: cost 16 inf + 0 572.010 * * [simplify]: Extracting #5: cost 114 inf + 0 572.010 * * [simplify]: Extracting #6: cost 287 inf + 0 572.011 * * [simplify]: Extracting #7: cost 313 inf + 3589 572.015 * * [simplify]: Extracting #8: cost 214 inf + 22153 572.023 * * [simplify]: Extracting #9: cost 132 inf + 46586 572.039 * * [simplify]: Extracting #10: cost 16 inf + 97881 572.059 * * [simplify]: Extracting #11: cost 1 inf + 110416 572.082 * * [simplify]: Extracting #12: cost 0 inf + 111961 572.102 * * [simplify]: Extracting #13: cost 0 inf + 111921 572.123 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 572.123 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 572.124 * * * * [progress]: [ 2041 / 4754 ] simplifiying candidate # 572.124 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 572.124 * * [simplify]: iters left: 6 (48 enodes) 572.137 * * [simplify]: iters left: 5 (256 enodes) 572.199 * * [simplify]: Extracting #0: cost 1 inf + 0 572.199 * * [simplify]: Extracting #1: cost 3 inf + 0 572.199 * * [simplify]: Extracting #2: cost 6 inf + 0 572.199 * * [simplify]: Extracting #3: cost 10 inf + 0 572.199 * * [simplify]: Extracting #4: cost 16 inf + 0 572.200 * * [simplify]: Extracting #5: cost 115 inf + 0 572.200 * * [simplify]: Extracting #6: cost 300 inf + 0 572.201 * * [simplify]: Extracting #7: cost 329 inf + 2573 572.205 * * [simplify]: Extracting #8: cost 234 inf + 18203 572.214 * * [simplify]: Extracting #9: cost 124 inf + 52293 572.233 * * [simplify]: Extracting #10: cost 23 inf + 95071 572.252 * * [simplify]: Extracting #11: cost 2 inf + 110475 572.273 * * [simplify]: Extracting #12: cost 0 inf + 113765 572.293 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 572.293 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 572.294 * * * * [progress]: [ 2042 / 4754 ] simplifiying candidate # 572.294 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 572.295 * * [simplify]: iters left: 6 (48 enodes) 572.307 * * [simplify]: iters left: 5 (256 enodes) 572.367 * * [simplify]: Extracting #0: cost 1 inf + 0 572.367 * * [simplify]: Extracting #1: cost 3 inf + 0 572.367 * * [simplify]: Extracting #2: cost 6 inf + 0 572.367 * * [simplify]: Extracting #3: cost 10 inf + 0 572.367 * * [simplify]: Extracting #4: cost 16 inf + 0 572.367 * * [simplify]: Extracting #5: cost 118 inf + 0 572.368 * * [simplify]: Extracting #6: cost 297 inf + 0 572.369 * * [simplify]: Extracting #7: cost 323 inf + 2048 572.372 * * [simplify]: Extracting #8: cost 221 inf + 19178 572.383 * * [simplify]: Extracting #9: cost 136 inf + 44312 572.398 * * [simplify]: Extracting #10: cost 26 inf + 91292 572.417 * * [simplify]: Extracting #11: cost 1 inf + 109076 572.437 * * [simplify]: Extracting #12: cost 0 inf + 110621 572.459 * * [simplify]: Extracting #13: cost 0 inf + 110581 572.479 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 572.479 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ lambda1 lambda2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 572.480 * * * * [progress]: [ 2043 / 4754 ] simplifiying candidate # 572.480 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 572.480 * * [simplify]: iters left: 6 (40 enodes) 572.491 * * [simplify]: iters left: 5 (208 enodes) 572.541 * * [simplify]: Extracting #0: cost 1 inf + 0 572.541 * * [simplify]: Extracting #1: cost 3 inf + 0 572.541 * * [simplify]: Extracting #2: cost 6 inf + 0 572.541 * * [simplify]: Extracting #3: cost 10 inf + 0 572.541 * * [simplify]: Extracting #4: cost 16 inf + 0 572.541 * * [simplify]: Extracting #5: cost 101 inf + 0 572.542 * * [simplify]: Extracting #6: cost 246 inf + 0 572.543 * * [simplify]: Extracting #7: cost 243 inf + 4242 572.548 * * [simplify]: Extracting #8: cost 138 inf + 26947 572.559 * * [simplify]: Extracting #9: cost 33 inf + 67268 572.574 * * [simplify]: Extracting #10: cost 9 inf + 82390 572.591 * * [simplify]: Extracting #11: cost 2 inf + 85751 572.607 * * [simplify]: Extracting #12: cost 0 inf + 86175 572.625 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 572.625 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 572.626 * * * * [progress]: [ 2044 / 4754 ] simplifiying candidate # 572.626 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 572.626 * * [simplify]: iters left: 6 (48 enodes) 572.638 * * [simplify]: iters left: 5 (254 enodes) 572.699 * * [simplify]: Extracting #0: cost 1 inf + 0 572.699 * * [simplify]: Extracting #1: cost 3 inf + 0 572.699 * * [simplify]: Extracting #2: cost 6 inf + 0 572.699 * * [simplify]: Extracting #3: cost 10 inf + 0 572.699 * * [simplify]: Extracting #4: cost 20 inf + 0 572.699 * * [simplify]: Extracting #5: cost 138 inf + 0 572.700 * * [simplify]: Extracting #6: cost 291 inf + 44 572.701 * * [simplify]: Extracting #7: cost 291 inf + 4369 572.706 * * [simplify]: Extracting #8: cost 181 inf + 28621 572.718 * * [simplify]: Extracting #9: cost 58 inf + 73442 572.735 * * [simplify]: Extracting #10: cost 4 inf + 103152 572.755 * * [simplify]: Extracting #11: cost 0 inf + 106186 572.776 * * [simplify]: Extracting #12: cost 0 inf + 105946 572.795 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 572.795 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 572.795 * * * * [progress]: [ 2045 / 4754 ] simplifiying candidate # 572.796 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 572.796 * * [simplify]: iters left: 6 (42 enodes) 572.808 * * [simplify]: iters left: 5 (220 enodes) 572.861 * * [simplify]: Extracting #0: cost 1 inf + 0 572.861 * * [simplify]: Extracting #1: cost 3 inf + 0 572.861 * * [simplify]: Extracting #2: cost 6 inf + 0 572.861 * * [simplify]: Extracting #3: cost 10 inf + 0 572.861 * * [simplify]: Extracting #4: cost 20 inf + 0 572.861 * * [simplify]: Extracting #5: cost 123 inf + 0 572.862 * * [simplify]: Extracting #6: cost 258 inf + 44 572.863 * * [simplify]: Extracting #7: cost 260 inf + 3307 572.866 * * [simplify]: Extracting #8: cost 175 inf + 17487 572.873 * * [simplify]: Extracting #9: cost 97 inf + 41035 572.886 * * [simplify]: Extracting #10: cost 24 inf + 71763 572.902 * * [simplify]: Extracting #11: cost 4 inf + 83463 572.921 * * [simplify]: Extracting #12: cost 0 inf + 85484 572.937 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 572.938 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 572.938 * * * * [progress]: [ 2046 / 4754 ] simplifiying candidate # 572.938 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 572.939 * * [simplify]: iters left: 6 (48 enodes) 572.951 * * [simplify]: iters left: 5 (254 enodes) 573.011 * * [simplify]: Extracting #0: cost 1 inf + 0 573.011 * * [simplify]: Extracting #1: cost 3 inf + 0 573.011 * * [simplify]: Extracting #2: cost 6 inf + 0 573.011 * * [simplify]: Extracting #3: cost 10 inf + 0 573.011 * * [simplify]: Extracting #4: cost 20 inf + 0 573.011 * * [simplify]: Extracting #5: cost 138 inf + 0 573.012 * * [simplify]: Extracting #6: cost 291 inf + 44 573.013 * * [simplify]: Extracting #7: cost 292 inf + 4205 573.017 * * [simplify]: Extracting #8: cost 209 inf + 19218 573.025 * * [simplify]: Extracting #9: cost 118 inf + 48036 573.040 * * [simplify]: Extracting #10: cost 20 inf + 90623 573.058 * * [simplify]: Extracting #11: cost 2 inf + 103736 573.080 * * [simplify]: Extracting #12: cost 0 inf + 106986 573.099 * * [simplify]: Extracting #13: cost 0 inf + 106906 573.118 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 573.118 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 573.119 * * * * [progress]: [ 2047 / 4754 ] simplifiying candidate # 573.119 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 573.120 * * [simplify]: iters left: 6 (42 enodes) 573.131 * * [simplify]: iters left: 5 (220 enodes) 573.182 * * [simplify]: Extracting #0: cost 1 inf + 0 573.182 * * [simplify]: Extracting #1: cost 3 inf + 0 573.183 * * [simplify]: Extracting #2: cost 6 inf + 0 573.183 * * [simplify]: Extracting #3: cost 10 inf + 0 573.183 * * [simplify]: Extracting #4: cost 20 inf + 0 573.183 * * [simplify]: Extracting #5: cost 122 inf + 0 573.183 * * [simplify]: Extracting #6: cost 257 inf + 44 573.184 * * [simplify]: Extracting #7: cost 256 inf + 3797 573.189 * * [simplify]: Extracting #8: cost 142 inf + 27708 573.201 * * [simplify]: Extracting #9: cost 33 inf + 67341 573.218 * * [simplify]: Extracting #10: cost 17 inf + 74974 573.233 * * [simplify]: Extracting #11: cost 7 inf + 81599 573.250 * * [simplify]: Extracting #12: cost 0 inf + 85600 573.267 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) 573.267 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 573.267 * * * * [progress]: [ 2048 / 4754 ] simplifiying candidate # 573.268 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 573.268 * * [simplify]: iters left: 6 (39 enodes) 573.278 * * [simplify]: iters left: 5 (202 enodes) 573.326 * * [simplify]: Extracting #0: cost 1 inf + 0 573.326 * * [simplify]: Extracting #1: cost 3 inf + 0 573.326 * * [simplify]: Extracting #2: cost 6 inf + 0 573.326 * * [simplify]: Extracting #3: cost 10 inf + 0 573.326 * * [simplify]: Extracting #4: cost 16 inf + 0 573.326 * * [simplify]: Extracting #5: cost 112 inf + 0 573.327 * * [simplify]: Extracting #6: cost 262 inf + 0 573.328 * * [simplify]: Extracting #7: cost 277 inf + 3180 573.334 * * [simplify]: Extracting #8: cost 143 inf + 34719 573.347 * * [simplify]: Extracting #9: cost 16 inf + 82426 573.364 * * [simplify]: Extracting #10: cost 3 inf + 89023 573.383 * * [simplify]: Extracting #11: cost 1 inf + 90620 573.400 * * [simplify]: Extracting #12: cost 0 inf + 92005 573.416 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 573.417 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 573.417 * * * * [progress]: [ 2049 / 4754 ] simplifiying candidate # 573.417 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 573.418 * * [simplify]: iters left: 6 (39 enodes) 573.428 * * [simplify]: iters left: 5 (200 enodes) 573.477 * * [simplify]: Extracting #0: cost 1 inf + 0 573.477 * * [simplify]: Extracting #1: cost 3 inf + 0 573.477 * * [simplify]: Extracting #2: cost 6 inf + 0 573.477 * * [simplify]: Extracting #3: cost 10 inf + 0 573.477 * * [simplify]: Extracting #4: cost 16 inf + 0 573.477 * * [simplify]: Extracting #5: cost 103 inf + 0 573.478 * * [simplify]: Extracting #6: cost 252 inf + 0 573.479 * * [simplify]: Extracting #7: cost 263 inf + 2819 573.484 * * [simplify]: Extracting #8: cost 118 inf + 35947 573.497 * * [simplify]: Extracting #9: cost 17 inf + 74905 573.512 * * [simplify]: Extracting #10: cost 2 inf + 82699 573.530 * * [simplify]: Extracting #11: cost 1 inf + 84124 573.546 * * [simplify]: Extracting #12: cost 0 inf + 85549 573.562 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 573.562 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 573.563 * * * * [progress]: [ 2050 / 4754 ] simplifiying candidate # 573.563 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 573.563 * * [simplify]: iters left: 6 (39 enodes) 573.573 * * [simplify]: iters left: 5 (198 enodes) 573.621 * * [simplify]: Extracting #0: cost 1 inf + 0 573.621 * * [simplify]: Extracting #1: cost 3 inf + 0 573.621 * * [simplify]: Extracting #2: cost 6 inf + 0 573.621 * * [simplify]: Extracting #3: cost 10 inf + 0 573.621 * * [simplify]: Extracting #4: cost 16 inf + 0 573.621 * * [simplify]: Extracting #5: cost 108 inf + 0 573.622 * * [simplify]: Extracting #6: cost 242 inf + 0 573.623 * * [simplify]: Extracting #7: cost 238 inf + 4729 573.628 * * [simplify]: Extracting #8: cost 108 inf + 35282 573.640 * * [simplify]: Extracting #9: cost 19 inf + 69816 573.654 * * [simplify]: Extracting #10: cost 6 inf + 76440 573.669 * * [simplify]: Extracting #11: cost 0 inf + 80640 573.687 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 573.687 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 573.687 * * * * [progress]: [ 2051 / 4754 ] simplifiying candidate # 573.688 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 573.688 * * [simplify]: iters left: 6 (26 enodes) 573.694 * * [simplify]: iters left: 5 (124 enodes) 573.719 * * [simplify]: iters left: 4 (395 enodes) 573.902 * * [simplify]: Extracting #0: cost 1 inf + 0 573.902 * * [simplify]: Extracting #1: cost 4 inf + 0 573.902 * * [simplify]: Extracting #2: cost 7 inf + 0 573.902 * * [simplify]: Extracting #3: cost 24 inf + 0 573.903 * * [simplify]: Extracting #4: cost 273 inf + 0 573.905 * * [simplify]: Extracting #5: cost 656 inf + 662 573.911 * * [simplify]: Extracting #6: cost 551 inf + 31535 573.924 * * [simplify]: Extracting #7: cost 366 inf + 68650 573.951 * * [simplify]: Extracting #8: cost 175 inf + 125719 573.990 * * [simplify]: Extracting #9: cost 12 inf + 189631 574.033 * * [simplify]: Extracting #10: cost 1 inf + 194226 574.076 * * [simplify]: Extracting #11: cost 0 inf + 194971 574.120 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 574.121 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.121 * * * * [progress]: [ 2052 / 4754 ] simplifiying candidate # 574.121 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 574.121 * * [simplify]: iters left: 6 (39 enodes) 574.131 * * [simplify]: iters left: 5 (198 enodes) 574.177 * * [simplify]: Extracting #0: cost 1 inf + 0 574.177 * * [simplify]: Extracting #1: cost 3 inf + 0 574.177 * * [simplify]: Extracting #2: cost 6 inf + 0 574.177 * * [simplify]: Extracting #3: cost 10 inf + 0 574.177 * * [simplify]: Extracting #4: cost 20 inf + 0 574.178 * * [simplify]: Extracting #5: cost 128 inf + 0 574.178 * * [simplify]: Extracting #6: cost 244 inf + 44 574.179 * * [simplify]: Extracting #7: cost 224 inf + 5177 574.185 * * [simplify]: Extracting #8: cost 105 inf + 33680 574.196 * * [simplify]: Extracting #9: cost 18 inf + 67391 574.210 * * [simplify]: Extracting #10: cost 5 inf + 73910 574.225 * * [simplify]: Extracting #11: cost 0 inf + 77567 574.242 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 574.242 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.242 * * * * [progress]: [ 2053 / 4754 ] simplifiying candidate # 574.243 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 574.243 * * [simplify]: iters left: 6 (32 enodes) 574.250 * * [simplify]: iters left: 5 (157 enodes) 574.283 * * [simplify]: Extracting #0: cost 1 inf + 0 574.283 * * [simplify]: Extracting #1: cost 3 inf + 0 574.283 * * [simplify]: Extracting #2: cost 6 inf + 0 574.283 * * [simplify]: Extracting #3: cost 10 inf + 0 574.283 * * [simplify]: Extracting #4: cost 20 inf + 0 574.284 * * [simplify]: Extracting #5: cost 112 inf + 0 574.284 * * [simplify]: Extracting #6: cost 204 inf + 86 574.285 * * [simplify]: Extracting #7: cost 186 inf + 3686 574.289 * * [simplify]: Extracting #8: cost 80 inf + 26301 574.298 * * [simplify]: Extracting #9: cost 9 inf + 50774 574.309 * * [simplify]: Extracting #10: cost 2 inf + 55627 574.323 * * [simplify]: Extracting #11: cost 0 inf + 57797 574.334 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 574.334 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.334 * * * * [progress]: [ 2054 / 4754 ] simplifiying candidate # 574.335 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 574.335 * * [simplify]: iters left: 6 (39 enodes) 574.345 * * [simplify]: iters left: 5 (198 enodes) 574.392 * * [simplify]: Extracting #0: cost 1 inf + 0 574.393 * * [simplify]: Extracting #1: cost 3 inf + 0 574.393 * * [simplify]: Extracting #2: cost 6 inf + 0 574.393 * * [simplify]: Extracting #3: cost 10 inf + 0 574.393 * * [simplify]: Extracting #4: cost 20 inf + 0 574.393 * * [simplify]: Extracting #5: cost 128 inf + 0 574.393 * * [simplify]: Extracting #6: cost 244 inf + 44 574.394 * * [simplify]: Extracting #7: cost 232 inf + 3881 574.399 * * [simplify]: Extracting #8: cost 120 inf + 30032 574.410 * * [simplify]: Extracting #9: cost 26 inf + 65184 574.425 * * [simplify]: Extracting #10: cost 5 inf + 74670 574.440 * * [simplify]: Extracting #11: cost 0 inf + 78327 574.454 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) 574.454 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.455 * * * * [progress]: [ 2055 / 4754 ] simplifiying candidate # 574.455 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 574.455 * * [simplify]: iters left: 6 (32 enodes) 574.463 * * [simplify]: iters left: 5 (156 enodes) 574.497 * * [simplify]: Extracting #0: cost 1 inf + 0 574.497 * * [simplify]: Extracting #1: cost 3 inf + 0 574.497 * * [simplify]: Extracting #2: cost 6 inf + 0 574.497 * * [simplify]: Extracting #3: cost 10 inf + 0 574.497 * * [simplify]: Extracting #4: cost 20 inf + 0 574.497 * * [simplify]: Extracting #5: cost 112 inf + 0 574.497 * * [simplify]: Extracting #6: cost 199 inf + 86 574.498 * * [simplify]: Extracting #7: cost 175 inf + 4576 574.503 * * [simplify]: Extracting #8: cost 71 inf + 28701 574.512 * * [simplify]: Extracting #9: cost 13 inf + 48538 574.523 * * [simplify]: Extracting #10: cost 2 inf + 55091 574.534 * * [simplify]: Extracting #11: cost 1 inf + 56196 574.547 * * [simplify]: Extracting #12: cost 0 inf + 57341 574.559 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 574.559 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.559 * * * * [progress]: [ 2056 / 4754 ] simplifiying candidate # 574.559 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 574.560 * * [simplify]: iters left: 6 (49 enodes) 574.573 * * [simplify]: iters left: 5 (250 enodes) 574.630 * * [simplify]: Extracting #0: cost 1 inf + 0 574.631 * * [simplify]: Extracting #1: cost 3 inf + 0 574.631 * * [simplify]: Extracting #2: cost 6 inf + 0 574.631 * * [simplify]: Extracting #3: cost 10 inf + 0 574.631 * * [simplify]: Extracting #4: cost 16 inf + 0 574.631 * * [simplify]: Extracting #5: cost 116 inf + 0 574.631 * * [simplify]: Extracting #6: cost 283 inf + 0 574.632 * * [simplify]: Extracting #7: cost 306 inf + 2008 574.635 * * [simplify]: Extracting #8: cost 228 inf + 14865 574.643 * * [simplify]: Extracting #9: cost 138 inf + 40817 574.657 * * [simplify]: Extracting #10: cost 27 inf + 87928 574.675 * * [simplify]: Extracting #11: cost 5 inf + 100653 574.697 * * [simplify]: Extracting #12: cost 1 inf + 106873 574.716 * * [simplify]: Extracting #13: cost 0 inf + 108538 574.736 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 574.736 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.736 * * * * [progress]: [ 2057 / 4754 ] simplifiying candidate # 574.737 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 574.737 * * [simplify]: iters left: 6 (49 enodes) 574.750 * * [simplify]: iters left: 5 (252 enodes) 574.809 * * [simplify]: Extracting #0: cost 1 inf + 0 574.809 * * [simplify]: Extracting #1: cost 3 inf + 0 574.809 * * [simplify]: Extracting #2: cost 6 inf + 0 574.809 * * [simplify]: Extracting #3: cost 10 inf + 0 574.809 * * [simplify]: Extracting #4: cost 16 inf + 0 574.809 * * [simplify]: Extracting #5: cost 117 inf + 0 574.810 * * [simplify]: Extracting #6: cost 295 inf + 0 574.811 * * [simplify]: Extracting #7: cost 318 inf + 1675 574.814 * * [simplify]: Extracting #8: cost 234 inf + 16019 574.821 * * [simplify]: Extracting #9: cost 146 inf + 41972 574.837 * * [simplify]: Extracting #10: cost 28 inf + 89971 574.858 * * [simplify]: Extracting #11: cost 1 inf + 106833 574.877 * * [simplify]: Extracting #12: cost 0 inf + 108338 574.897 * * [simplify]: Extracting #13: cost 0 inf + 108298 574.919 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 574.920 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 574.921 * * * * [progress]: [ 2058 / 4754 ] simplifiying candidate # 574.921 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 574.921 * * [simplify]: iters left: 6 (49 enodes) 574.937 * * [simplify]: iters left: 5 (252 enodes) 574.993 * * [simplify]: Extracting #0: cost 1 inf + 0 574.993 * * [simplify]: Extracting #1: cost 3 inf + 0 574.993 * * [simplify]: Extracting #2: cost 6 inf + 0 574.993 * * [simplify]: Extracting #3: cost 10 inf + 0 574.993 * * [simplify]: Extracting #4: cost 16 inf + 0 574.993 * * [simplify]: Extracting #5: cost 120 inf + 0 574.994 * * [simplify]: Extracting #6: cost 294 inf + 0 574.995 * * [simplify]: Extracting #7: cost 305 inf + 2091 575.000 * * [simplify]: Extracting #8: cost 228 inf + 14633 575.007 * * [simplify]: Extracting #9: cost 140 inf + 41857 575.021 * * [simplify]: Extracting #10: cost 23 inf + 88342 575.039 * * [simplify]: Extracting #11: cost 2 inf + 104133 575.058 * * [simplify]: Extracting #12: cost 0 inf + 106943 575.077 * * [simplify]: Extracting #13: cost 0 inf + 106903 575.096 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 575.096 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 575.097 * * * * [progress]: [ 2059 / 4754 ] simplifiying candidate # 575.097 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 575.098 * * [simplify]: iters left: 6 (41 enodes) 575.108 * * [simplify]: iters left: 5 (204 enodes) 575.153 * * [simplify]: Extracting #0: cost 1 inf + 0 575.153 * * [simplify]: Extracting #1: cost 3 inf + 0 575.153 * * [simplify]: Extracting #2: cost 6 inf + 0 575.153 * * [simplify]: Extracting #3: cost 10 inf + 0 575.154 * * [simplify]: Extracting #4: cost 16 inf + 0 575.154 * * [simplify]: Extracting #5: cost 106 inf + 0 575.154 * * [simplify]: Extracting #6: cost 247 inf + 0 575.155 * * [simplify]: Extracting #7: cost 243 inf + 1968 575.159 * * [simplify]: Extracting #8: cost 152 inf + 22358 575.170 * * [simplify]: Extracting #9: cost 31 inf + 66161 575.184 * * [simplify]: Extracting #10: cost 10 inf + 80251 575.199 * * [simplify]: Extracting #11: cost 1 inf + 83663 575.214 * * [simplify]: Extracting #12: cost 0 inf + 83875 575.231 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 575.232 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 575.232 * * * * [progress]: [ 2060 / 4754 ] simplifiying candidate # 575.233 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 575.233 * * [simplify]: iters left: 6 (49 enodes) 575.246 * * [simplify]: iters left: 5 (250 enodes) 575.303 * * [simplify]: Extracting #0: cost 1 inf + 0 575.303 * * [simplify]: Extracting #1: cost 3 inf + 0 575.303 * * [simplify]: Extracting #2: cost 6 inf + 0 575.303 * * [simplify]: Extracting #3: cost 10 inf + 0 575.303 * * [simplify]: Extracting #4: cost 20 inf + 0 575.303 * * [simplify]: Extracting #5: cost 140 inf + 0 575.304 * * [simplify]: Extracting #6: cost 287 inf + 86 575.305 * * [simplify]: Extracting #7: cost 281 inf + 3435 575.310 * * [simplify]: Extracting #8: cost 168 inf + 29952 575.321 * * [simplify]: Extracting #9: cost 67 inf + 64982 575.336 * * [simplify]: Extracting #10: cost 17 inf + 89319 575.353 * * [simplify]: Extracting #11: cost 2 inf + 99519 575.371 * * [simplify]: Extracting #12: cost 0 inf + 102369 575.390 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) 575.391 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 575.391 * * * * [progress]: [ 2061 / 4754 ] simplifiying candidate # 575.391 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 575.392 * * [simplify]: iters left: 6 (43 enodes) 575.403 * * [simplify]: iters left: 5 (216 enodes) 575.450 * * [simplify]: Extracting #0: cost 1 inf + 0 575.451 * * [simplify]: Extracting #1: cost 3 inf + 0 575.451 * * [simplify]: Extracting #2: cost 6 inf + 0 575.451 * * [simplify]: Extracting #3: cost 10 inf + 0 575.451 * * [simplify]: Extracting #4: cost 20 inf + 0 575.451 * * [simplify]: Extracting #5: cost 127 inf + 0 575.451 * * [simplify]: Extracting #6: cost 259 inf + 44 575.452 * * [simplify]: Extracting #7: cost 248 inf + 3397 575.456 * * [simplify]: Extracting #8: cost 167 inf + 17696 575.461 * * [simplify]: Extracting #9: cost 112 inf + 34605 575.473 * * [simplify]: Extracting #10: cost 25 inf + 69128 575.487 * * [simplify]: Extracting #11: cost 4 inf + 78749 575.502 * * [simplify]: Extracting #12: cost 1 inf + 81942 575.518 * * [simplify]: Extracting #13: cost 0 inf + 83287 575.535 * * [simplify]: Extracting #14: cost 0 inf + 83247 575.551 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 575.551 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 575.551 * * * * [progress]: [ 2062 / 4754 ] simplifiying candidate # 575.552 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 575.552 * * [simplify]: iters left: 6 (49 enodes) 575.564 * * [simplify]: iters left: 5 (250 enodes) 575.621 * * [simplify]: Extracting #0: cost 1 inf + 0 575.621 * * [simplify]: Extracting #1: cost 3 inf + 0 575.621 * * [simplify]: Extracting #2: cost 6 inf + 0 575.621 * * [simplify]: Extracting #3: cost 10 inf + 0 575.621 * * [simplify]: Extracting #4: cost 20 inf + 0 575.621 * * [simplify]: Extracting #5: cost 140 inf + 0 575.622 * * [simplify]: Extracting #6: cost 287 inf + 86 575.623 * * [simplify]: Extracting #7: cost 281 inf + 3475 575.627 * * [simplify]: Extracting #8: cost 196 inf + 20916 575.633 * * [simplify]: Extracting #9: cost 136 inf + 40171 575.645 * * [simplify]: Extracting #10: cost 47 inf + 71914 575.662 * * [simplify]: Extracting #11: cost 3 inf + 99774 575.682 * * [simplify]: Extracting #12: cost 0 inf + 103049 575.700 * * [simplify]: Extracting #13: cost 0 inf + 103009 575.719 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) 575.719 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 575.719 * * * * [progress]: [ 2063 / 4754 ] simplifiying candidate # 575.720 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 575.720 * * [simplify]: iters left: 6 (43 enodes) 575.731 * * [simplify]: iters left: 5 (216 enodes) 575.778 * * [simplify]: Extracting #0: cost 1 inf + 0 575.778 * * [simplify]: Extracting #1: cost 3 inf + 0 575.778 * * [simplify]: Extracting #2: cost 6 inf + 0 575.778 * * [simplify]: Extracting #3: cost 10 inf + 0 575.778 * * [simplify]: Extracting #4: cost 20 inf + 0 575.779 * * [simplify]: Extracting #5: cost 126 inf + 0 575.779 * * [simplify]: Extracting #6: cost 259 inf + 44 575.780 * * [simplify]: Extracting #7: cost 248 inf + 3397 575.784 * * [simplify]: Extracting #8: cost 166 inf + 18140 575.790 * * [simplify]: Extracting #9: cost 113 inf + 34580 575.802 * * [simplify]: Extracting #10: cost 25 inf + 69368 575.816 * * [simplify]: Extracting #11: cost 3 inf + 80414 575.834 * * [simplify]: Extracting #12: cost 0 inf + 83567 575.850 * * [simplify]: Extracting #13: cost 0 inf + 83487 575.866 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 575.867 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 575.867 * * * * [progress]: [ 2064 / 4754 ] simplifiying candidate # 575.867 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 575.868 * * [simplify]: iters left: 6 (42 enodes) 575.878 * * [simplify]: iters left: 5 (211 enodes) 575.928 * * [simplify]: Extracting #0: cost 1 inf + 0 575.928 * * [simplify]: Extracting #1: cost 3 inf + 0 575.928 * * [simplify]: Extracting #2: cost 6 inf + 0 575.928 * * [simplify]: Extracting #3: cost 10 inf + 0 575.928 * * [simplify]: Extracting #4: cost 16 inf + 0 575.928 * * [simplify]: Extracting #5: cost 109 inf + 0 575.929 * * [simplify]: Extracting #6: cost 264 inf + 0 575.930 * * [simplify]: Extracting #7: cost 283 inf + 1924 575.932 * * [simplify]: Extracting #8: cost 190 inf + 16733 575.939 * * [simplify]: Extracting #9: cost 120 inf + 36722 575.952 * * [simplify]: Extracting #10: cost 19 inf + 78832 575.968 * * [simplify]: Extracting #11: cost 2 inf + 89322 575.988 * * [simplify]: Extracting #12: cost 0 inf + 91572 576.004 * * [simplify]: Extracting #13: cost 0 inf + 91452 576.021 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) 576.021 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.022 * * * * [progress]: [ 2065 / 4754 ] simplifiying candidate # 576.022 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 576.022 * * [simplify]: iters left: 6 (42 enodes) 576.033 * * [simplify]: iters left: 5 (213 enodes) 576.082 * * [simplify]: Extracting #0: cost 1 inf + 0 576.082 * * [simplify]: Extracting #1: cost 3 inf + 0 576.082 * * [simplify]: Extracting #2: cost 6 inf + 0 576.082 * * [simplify]: Extracting #3: cost 10 inf + 0 576.082 * * [simplify]: Extracting #4: cost 16 inf + 0 576.082 * * [simplify]: Extracting #5: cost 108 inf + 0 576.083 * * [simplify]: Extracting #6: cost 273 inf + 0 576.084 * * [simplify]: Extracting #7: cost 283 inf + 2654 576.086 * * [simplify]: Extracting #8: cost 202 inf + 14118 576.093 * * [simplify]: Extracting #9: cost 124 inf + 35023 576.106 * * [simplify]: Extracting #10: cost 12 inf + 81616 576.122 * * [simplify]: Extracting #11: cost 1 inf + 89914 576.141 * * [simplify]: Extracting #12: cost 0 inf + 90539 576.159 * * [simplify]: Extracting #13: cost 0 inf + 90459 576.176 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) 576.176 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.177 * * * * [progress]: [ 2066 / 4754 ] simplifiying candidate # 576.177 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 576.177 * * [simplify]: iters left: 6 (42 enodes) 576.188 * * [simplify]: iters left: 5 (212 enodes) 576.237 * * [simplify]: Extracting #0: cost 1 inf + 0 576.237 * * [simplify]: Extracting #1: cost 3 inf + 0 576.237 * * [simplify]: Extracting #2: cost 6 inf + 0 576.237 * * [simplify]: Extracting #3: cost 10 inf + 0 576.237 * * [simplify]: Extracting #4: cost 16 inf + 0 576.238 * * [simplify]: Extracting #5: cost 112 inf + 0 576.238 * * [simplify]: Extracting #6: cost 266 inf + 0 576.239 * * [simplify]: Extracting #7: cost 274 inf + 2043 576.244 * * [simplify]: Extracting #8: cost 149 inf + 28931 576.255 * * [simplify]: Extracting #9: cost 31 inf + 69352 576.270 * * [simplify]: Extracting #10: cost 2 inf + 85293 576.286 * * [simplify]: Extracting #11: cost 0 inf + 87023 576.305 * * [simplify]: Extracting #12: cost 0 inf + 86983 576.321 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) 576.321 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.322 * * * * [progress]: [ 2067 / 4754 ] simplifiying candidate # 576.322 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 576.322 * * [simplify]: iters left: 6 (33 enodes) 576.330 * * [simplify]: iters left: 5 (157 enodes) 576.363 * * [simplify]: Extracting #0: cost 1 inf + 0 576.363 * * [simplify]: Extracting #1: cost 3 inf + 0 576.363 * * [simplify]: Extracting #2: cost 6 inf + 0 576.363 * * [simplify]: Extracting #3: cost 10 inf + 0 576.363 * * [simplify]: Extracting #4: cost 16 inf + 0 576.363 * * [simplify]: Extracting #5: cost 95 inf + 0 576.363 * * [simplify]: Extracting #6: cost 209 inf + 0 576.366 * * [simplify]: Extracting #7: cost 187 inf + 3876 576.370 * * [simplify]: Extracting #8: cost 95 inf + 23349 576.379 * * [simplify]: Extracting #9: cost 18 inf + 51254 576.389 * * [simplify]: Extracting #10: cost 5 inf + 57299 576.401 * * [simplify]: Extracting #11: cost 0 inf + 62744 576.413 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 576.413 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.414 * * * * [progress]: [ 2068 / 4754 ] simplifiying candidate # 576.414 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 576.414 * * [simplify]: iters left: 6 (42 enodes) 576.425 * * [simplify]: iters left: 5 (211 enodes) 576.475 * * [simplify]: Extracting #0: cost 1 inf + 0 576.475 * * [simplify]: Extracting #1: cost 3 inf + 0 576.475 * * [simplify]: Extracting #2: cost 6 inf + 0 576.475 * * [simplify]: Extracting #3: cost 10 inf + 0 576.475 * * [simplify]: Extracting #4: cost 20 inf + 0 576.475 * * [simplify]: Extracting #5: cost 133 inf + 0 576.476 * * [simplify]: Extracting #6: cost 267 inf + 44 576.477 * * [simplify]: Extracting #7: cost 249 inf + 4043 576.482 * * [simplify]: Extracting #8: cost 133 inf + 30072 576.494 * * [simplify]: Extracting #9: cost 26 inf + 69377 576.509 * * [simplify]: Extracting #10: cost 3 inf + 80438 576.526 * * [simplify]: Extracting #11: cost 1 inf + 82768 576.542 * * [simplify]: Extracting #12: cost 0 inf + 84273 576.558 * * [simplify]: Extracting #13: cost 0 inf + 84233 576.573 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 576.573 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.574 * * * * [progress]: [ 2069 / 4754 ] simplifiying candidate # 576.574 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 576.574 * * [simplify]: iters left: 6 (35 enodes) 576.583 * * [simplify]: iters left: 5 (171 enodes) 576.621 * * [simplify]: Extracting #0: cost 1 inf + 0 576.621 * * [simplify]: Extracting #1: cost 3 inf + 0 576.621 * * [simplify]: Extracting #2: cost 6 inf + 0 576.621 * * [simplify]: Extracting #3: cost 10 inf + 0 576.621 * * [simplify]: Extracting #4: cost 20 inf + 0 576.621 * * [simplify]: Extracting #5: cost 117 inf + 0 576.621 * * [simplify]: Extracting #6: cost 230 inf + 44 576.622 * * [simplify]: Extracting #7: cost 213 inf + 3389 576.625 * * [simplify]: Extracting #8: cost 127 inf + 17061 576.630 * * [simplify]: Extracting #9: cost 86 inf + 29580 576.640 * * [simplify]: Extracting #10: cost 14 inf + 56421 576.652 * * [simplify]: Extracting #11: cost 2 inf + 63081 576.664 * * [simplify]: Extracting #12: cost 0 inf + 64691 576.679 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 576.679 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.679 * * * * [progress]: [ 2070 / 4754 ] simplifiying candidate # 576.680 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 576.680 * * [simplify]: iters left: 6 (42 enodes) 576.691 * * [simplify]: iters left: 5 (211 enodes) 576.736 * * [simplify]: Extracting #0: cost 1 inf + 0 576.736 * * [simplify]: Extracting #1: cost 3 inf + 0 576.736 * * [simplify]: Extracting #2: cost 6 inf + 0 576.736 * * [simplify]: Extracting #3: cost 10 inf + 0 576.736 * * [simplify]: Extracting #4: cost 20 inf + 0 576.737 * * [simplify]: Extracting #5: cost 133 inf + 0 576.737 * * [simplify]: Extracting #6: cost 267 inf + 44 576.738 * * [simplify]: Extracting #7: cost 256 inf + 3025 576.746 * * [simplify]: Extracting #8: cost 137 inf + 29982 576.758 * * [simplify]: Extracting #9: cost 19 inf + 72195 576.775 * * [simplify]: Extracting #10: cost 2 inf + 82623 576.790 * * [simplify]: Extracting #11: cost 0 inf + 84913 576.807 * * [simplify]: Extracting #12: cost 0 inf + 84873 576.822 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 576.822 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.823 * * * * [progress]: [ 2071 / 4754 ] simplifiying candidate # 576.823 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 576.823 * * [simplify]: iters left: 6 (35 enodes) 576.833 * * [simplify]: iters left: 5 (170 enodes) 576.868 * * [simplify]: Extracting #0: cost 1 inf + 0 576.868 * * [simplify]: Extracting #1: cost 3 inf + 0 576.868 * * [simplify]: Extracting #2: cost 6 inf + 0 576.868 * * [simplify]: Extracting #3: cost 10 inf + 0 576.868 * * [simplify]: Extracting #4: cost 20 inf + 0 576.869 * * [simplify]: Extracting #5: cost 117 inf + 0 576.869 * * [simplify]: Extracting #6: cost 225 inf + 44 576.870 * * [simplify]: Extracting #7: cost 209 inf + 3274 576.873 * * [simplify]: Extracting #8: cost 134 inf + 14865 576.878 * * [simplify]: Extracting #9: cost 81 inf + 30888 576.888 * * [simplify]: Extracting #10: cost 14 inf + 56009 576.901 * * [simplify]: Extracting #11: cost 3 inf + 60480 576.913 * * [simplify]: Extracting #12: cost 1 inf + 62610 576.926 * * [simplify]: Extracting #13: cost 0 inf + 63635 576.938 * * [simplify]: Extracting #14: cost 0 inf + 63595 576.950 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 576.951 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ phi1 phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 576.951 * * * * [progress]: [ 2072 / 4754 ] simplifiying candidate # 576.951 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 576.952 * * [simplify]: iters left: 6 (49 enodes) 576.964 * * [simplify]: iters left: 5 (250 enodes) 577.020 * * [simplify]: Extracting #0: cost 1 inf + 0 577.020 * * [simplify]: Extracting #1: cost 3 inf + 0 577.020 * * [simplify]: Extracting #2: cost 6 inf + 0 577.020 * * [simplify]: Extracting #3: cost 10 inf + 0 577.020 * * [simplify]: Extracting #4: cost 16 inf + 0 577.020 * * [simplify]: Extracting #5: cost 116 inf + 0 577.021 * * [simplify]: Extracting #6: cost 287 inf + 0 577.022 * * [simplify]: Extracting #7: cost 312 inf + 2006 577.025 * * [simplify]: Extracting #8: cost 231 inf + 16156 577.032 * * [simplify]: Extracting #9: cost 145 inf + 40258 577.048 * * [simplify]: Extracting #10: cost 33 inf + 85899 577.067 * * [simplify]: Extracting #11: cost 1 inf + 106073 577.087 * * [simplify]: Extracting #12: cost 0 inf + 107618 577.107 * * [simplify]: Extracting #13: cost 0 inf + 107578 577.126 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 577.126 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 577.127 * * * * [progress]: [ 2073 / 4754 ] simplifiying candidate # 577.127 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 577.127 * * [simplify]: iters left: 6 (49 enodes) 577.141 * * [simplify]: iters left: 5 (252 enodes) 577.196 * * [simplify]: Extracting #0: cost 1 inf + 0 577.196 * * [simplify]: Extracting #1: cost 3 inf + 0 577.197 * * [simplify]: Extracting #2: cost 6 inf + 0 577.197 * * [simplify]: Extracting #3: cost 10 inf + 0 577.197 * * [simplify]: Extracting #4: cost 16 inf + 0 577.197 * * [simplify]: Extracting #5: cost 117 inf + 0 577.200 * * [simplify]: Extracting #6: cost 299 inf + 0 577.201 * * [simplify]: Extracting #7: cost 318 inf + 2454 577.204 * * [simplify]: Extracting #8: cost 221 inf + 19377 577.212 * * [simplify]: Extracting #9: cost 133 inf + 46108 577.226 * * [simplify]: Extracting #10: cost 27 inf + 89167 577.245 * * [simplify]: Extracting #11: cost 1 inf + 105553 577.263 * * [simplify]: Extracting #12: cost 0 inf + 107178 577.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 577.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 577.284 * * * * [progress]: [ 2074 / 4754 ] simplifiying candidate # 577.284 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 577.284 * * [simplify]: iters left: 6 (49 enodes) 577.297 * * [simplify]: iters left: 5 (252 enodes) 577.355 * * [simplify]: Extracting #0: cost 1 inf + 0 577.355 * * [simplify]: Extracting #1: cost 3 inf + 0 577.355 * * [simplify]: Extracting #2: cost 6 inf + 0 577.355 * * [simplify]: Extracting #3: cost 10 inf + 0 577.355 * * [simplify]: Extracting #4: cost 16 inf + 0 577.355 * * [simplify]: Extracting #5: cost 120 inf + 0 577.356 * * [simplify]: Extracting #6: cost 298 inf + 0 577.357 * * [simplify]: Extracting #7: cost 308 inf + 2659 577.360 * * [simplify]: Extracting #8: cost 220 inf + 19108 577.367 * * [simplify]: Extracting #9: cost 140 inf + 41257 577.381 * * [simplify]: Extracting #10: cost 25 inf + 87332 577.401 * * [simplify]: Extracting #11: cost 1 inf + 104278 577.420 * * [simplify]: Extracting #12: cost 0 inf + 105823 577.440 * * [simplify]: Extracting #13: cost 0 inf + 105783 577.459 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 577.459 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 577.460 * * * * [progress]: [ 2075 / 4754 ] simplifiying candidate # 577.460 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 577.460 * * [simplify]: iters left: 6 (41 enodes) 577.471 * * [simplify]: iters left: 5 (204 enodes) 577.516 * * [simplify]: Extracting #0: cost 1 inf + 0 577.516 * * [simplify]: Extracting #1: cost 3 inf + 0 577.516 * * [simplify]: Extracting #2: cost 6 inf + 0 577.516 * * [simplify]: Extracting #3: cost 10 inf + 0 577.516 * * [simplify]: Extracting #4: cost 16 inf + 0 577.516 * * [simplify]: Extracting #5: cost 106 inf + 0 577.517 * * [simplify]: Extracting #6: cost 251 inf + 0 577.518 * * [simplify]: Extracting #7: cost 250 inf + 2048 577.521 * * [simplify]: Extracting #8: cost 152 inf + 23407 577.531 * * [simplify]: Extracting #9: cost 39 inf + 61059 577.546 * * [simplify]: Extracting #10: cost 5 inf + 80298 577.561 * * [simplify]: Extracting #11: cost 0 inf + 83075 577.576 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 577.576 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 577.576 * * * * [progress]: [ 2076 / 4754 ] simplifiying candidate # 577.577 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 577.577 * * [simplify]: iters left: 6 (49 enodes) 577.591 * * [simplify]: iters left: 5 (250 enodes) 577.646 * * [simplify]: Extracting #0: cost 1 inf + 0 577.646 * * [simplify]: Extracting #1: cost 3 inf + 0 577.646 * * [simplify]: Extracting #2: cost 6 inf + 0 577.646 * * [simplify]: Extracting #3: cost 10 inf + 0 577.646 * * [simplify]: Extracting #4: cost 20 inf + 0 577.646 * * [simplify]: Extracting #5: cost 140 inf + 0 577.649 * * [simplify]: Extracting #6: cost 291 inf + 86 577.650 * * [simplify]: Extracting #7: cost 286 inf + 3313 577.654 * * [simplify]: Extracting #8: cost 207 inf + 18292 577.660 * * [simplify]: Extracting #9: cost 136 inf + 40460 577.674 * * [simplify]: Extracting #10: cost 27 inf + 83777 577.691 * * [simplify]: Extracting #11: cost 1 inf + 100224 577.709 * * [simplify]: Extracting #12: cost 0 inf + 101769 577.728 * * [simplify]: Extracting #13: cost 0 inf + 101729 577.746 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) 577.746 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 577.747 * * * * [progress]: [ 2077 / 4754 ] simplifiying candidate # 577.747 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 577.747 * * [simplify]: iters left: 6 (43 enodes) 577.758 * * [simplify]: iters left: 5 (216 enodes) 577.806 * * [simplify]: Extracting #0: cost 1 inf + 0 577.806 * * [simplify]: Extracting #1: cost 3 inf + 0 577.806 * * [simplify]: Extracting #2: cost 6 inf + 0 577.806 * * [simplify]: Extracting #3: cost 10 inf + 0 577.806 * * [simplify]: Extracting #4: cost 20 inf + 0 577.806 * * [simplify]: Extracting #5: cost 127 inf + 0 577.806 * * [simplify]: Extracting #6: cost 263 inf + 44 577.808 * * [simplify]: Extracting #7: cost 242 inf + 5663 577.812 * * [simplify]: Extracting #8: cost 161 inf + 20887 577.817 * * [simplify]: Extracting #9: cost 110 inf + 36042 577.830 * * [simplify]: Extracting #10: cost 14 inf + 73297 577.844 * * [simplify]: Extracting #11: cost 3 inf + 79052 577.859 * * [simplify]: Extracting #12: cost 1 inf + 81782 577.874 * * [simplify]: Extracting #13: cost 0 inf + 83127 577.891 * * [simplify]: Extracting #14: cost 0 inf + 83087 577.907 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 577.907 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 577.907 * * * * [progress]: [ 2078 / 4754 ] simplifiying candidate # 577.908 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 577.908 * * [simplify]: iters left: 6 (49 enodes) 577.921 * * [simplify]: iters left: 5 (250 enodes) 577.977 * * [simplify]: Extracting #0: cost 1 inf + 0 577.977 * * [simplify]: Extracting #1: cost 3 inf + 0 577.977 * * [simplify]: Extracting #2: cost 6 inf + 0 577.977 * * [simplify]: Extracting #3: cost 10 inf + 0 577.977 * * [simplify]: Extracting #4: cost 20 inf + 0 577.977 * * [simplify]: Extracting #5: cost 140 inf + 0 577.978 * * [simplify]: Extracting #6: cost 291 inf + 86 577.979 * * [simplify]: Extracting #7: cost 289 inf + 2827 577.983 * * [simplify]: Extracting #8: cost 202 inf + 20346 577.990 * * [simplify]: Extracting #9: cost 131 inf + 42491 578.004 * * [simplify]: Extracting #10: cost 27 inf + 84468 578.022 * * [simplify]: Extracting #11: cost 1 inf + 100704 578.044 * * [simplify]: Extracting #12: cost 0 inf + 102249 578.062 * * [simplify]: Extracting #13: cost 0 inf + 102209 578.080 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) 578.080 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.080 * * * * [progress]: [ 2079 / 4754 ] simplifiying candidate # 578.081 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 578.081 * * [simplify]: iters left: 6 (43 enodes) 578.092 * * [simplify]: iters left: 5 (216 enodes) 578.139 * * [simplify]: Extracting #0: cost 1 inf + 0 578.139 * * [simplify]: Extracting #1: cost 3 inf + 0 578.139 * * [simplify]: Extracting #2: cost 6 inf + 0 578.139 * * [simplify]: Extracting #3: cost 10 inf + 0 578.139 * * [simplify]: Extracting #4: cost 20 inf + 0 578.139 * * [simplify]: Extracting #5: cost 126 inf + 0 578.140 * * [simplify]: Extracting #6: cost 263 inf + 44 578.141 * * [simplify]: Extracting #7: cost 245 inf + 5137 578.145 * * [simplify]: Extracting #8: cost 162 inf + 20603 578.151 * * [simplify]: Extracting #9: cost 108 inf + 36963 578.163 * * [simplify]: Extracting #10: cost 15 inf + 73114 578.180 * * [simplify]: Extracting #11: cost 3 inf + 79292 578.195 * * [simplify]: Extracting #12: cost 1 inf + 82022 578.211 * * [simplify]: Extracting #13: cost 0 inf + 83367 578.226 * * [simplify]: Extracting #14: cost 0 inf + 83327 578.241 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) 578.241 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.242 * * * * [progress]: [ 2080 / 4754 ] simplifiying candidate # 578.242 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 578.242 * * [simplify]: iters left: 6 (42 enodes) 578.253 * * [simplify]: iters left: 5 (212 enodes) 578.301 * * [simplify]: Extracting #0: cost 1 inf + 0 578.301 * * [simplify]: Extracting #1: cost 3 inf + 0 578.301 * * [simplify]: Extracting #2: cost 6 inf + 0 578.301 * * [simplify]: Extracting #3: cost 10 inf + 0 578.301 * * [simplify]: Extracting #4: cost 16 inf + 0 578.301 * * [simplify]: Extracting #5: cost 109 inf + 0 578.302 * * [simplify]: Extracting #6: cost 263 inf + 0 578.303 * * [simplify]: Extracting #7: cost 280 inf + 2411 578.305 * * [simplify]: Extracting #8: cost 192 inf + 16732 578.312 * * [simplify]: Extracting #9: cost 116 inf + 38285 578.326 * * [simplify]: Extracting #10: cost 19 inf + 78754 578.345 * * [simplify]: Extracting #11: cost 2 inf + 89404 578.362 * * [simplify]: Extracting #12: cost 0 inf + 91174 578.379 * * [simplify]: Extracting #13: cost 0 inf + 90894 578.395 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) 578.395 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.396 * * * * [progress]: [ 2081 / 4754 ] simplifiying candidate # 578.396 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 578.397 * * [simplify]: iters left: 6 (42 enodes) 578.407 * * [simplify]: iters left: 5 (214 enodes) 578.456 * * [simplify]: Extracting #0: cost 1 inf + 0 578.456 * * [simplify]: Extracting #1: cost 3 inf + 0 578.456 * * [simplify]: Extracting #2: cost 6 inf + 0 578.456 * * [simplify]: Extracting #3: cost 10 inf + 0 578.456 * * [simplify]: Extracting #4: cost 16 inf + 0 578.457 * * [simplify]: Extracting #5: cost 108 inf + 0 578.457 * * [simplify]: Extracting #6: cost 273 inf + 0 578.458 * * [simplify]: Extracting #7: cost 289 inf + 1887 578.461 * * [simplify]: Extracting #8: cost 210 inf + 13261 578.467 * * [simplify]: Extracting #9: cost 130 inf + 34592 578.484 * * [simplify]: Extracting #10: cost 11 inf + 85733 578.501 * * [simplify]: Extracting #11: cost 0 inf + 91886 578.522 * * [simplify]: Extracting #12: cost 0 inf + 90766 578.539 * * [simplify]: Extracting #13: cost 0 inf + 90566 578.555 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))))) 578.555 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.556 * * * * [progress]: [ 2082 / 4754 ] simplifiying candidate # 578.556 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 578.556 * * [simplify]: iters left: 6 (42 enodes) 578.567 * * [simplify]: iters left: 5 (213 enodes) 578.615 * * [simplify]: Extracting #0: cost 1 inf + 0 578.615 * * [simplify]: Extracting #1: cost 3 inf + 0 578.615 * * [simplify]: Extracting #2: cost 6 inf + 0 578.615 * * [simplify]: Extracting #3: cost 10 inf + 0 578.615 * * [simplify]: Extracting #4: cost 16 inf + 0 578.615 * * [simplify]: Extracting #5: cost 112 inf + 0 578.616 * * [simplify]: Extracting #6: cost 266 inf + 0 578.617 * * [simplify]: Extracting #7: cost 272 inf + 2494 578.621 * * [simplify]: Extracting #8: cost 157 inf + 26046 578.633 * * [simplify]: Extracting #9: cost 29 inf + 70629 578.650 * * [simplify]: Extracting #10: cost 8 inf + 80251 578.666 * * [simplify]: Extracting #11: cost 1 inf + 85305 578.682 * * [simplify]: Extracting #12: cost 0 inf + 86890 578.698 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))))) 578.698 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.698 * * * * [progress]: [ 2083 / 4754 ] simplifiying candidate # 578.698 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 578.699 * * [simplify]: iters left: 6 (33 enodes) 578.707 * * [simplify]: iters left: 5 (159 enodes) 578.741 * * [simplify]: Extracting #0: cost 1 inf + 0 578.742 * * [simplify]: Extracting #1: cost 3 inf + 0 578.742 * * [simplify]: Extracting #2: cost 6 inf + 0 578.742 * * [simplify]: Extracting #3: cost 10 inf + 0 578.742 * * [simplify]: Extracting #4: cost 16 inf + 0 578.742 * * [simplify]: Extracting #5: cost 95 inf + 0 578.742 * * [simplify]: Extracting #6: cost 215 inf + 0 578.743 * * [simplify]: Extracting #7: cost 197 inf + 3387 578.746 * * [simplify]: Extracting #8: cost 129 inf + 15095 578.750 * * [simplify]: Extracting #9: cost 96 inf + 25079 578.759 * * [simplify]: Extracting #10: cost 14 inf + 56571 578.771 * * [simplify]: Extracting #11: cost 1 inf + 64536 578.784 * * [simplify]: Extracting #12: cost 0 inf + 64961 578.799 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 578.799 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.799 * * * * [progress]: [ 2084 / 4754 ] simplifiying candidate # 578.800 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 578.800 * * [simplify]: iters left: 6 (42 enodes) 578.811 * * [simplify]: iters left: 5 (212 enodes) 578.857 * * [simplify]: Extracting #0: cost 1 inf + 0 578.857 * * [simplify]: Extracting #1: cost 3 inf + 0 578.857 * * [simplify]: Extracting #2: cost 6 inf + 0 578.857 * * [simplify]: Extracting #3: cost 10 inf + 0 578.857 * * [simplify]: Extracting #4: cost 20 inf + 0 578.858 * * [simplify]: Extracting #5: cost 133 inf + 0 578.858 * * [simplify]: Extracting #6: cost 266 inf + 44 578.859 * * [simplify]: Extracting #7: cost 251 inf + 3925 578.865 * * [simplify]: Extracting #8: cost 176 inf + 16486 578.870 * * [simplify]: Extracting #9: cost 116 inf + 34374 578.883 * * [simplify]: Extracting #10: cost 10 inf + 76718 578.898 * * [simplify]: Extracting #11: cost 2 inf + 81585 578.913 * * [simplify]: Extracting #12: cost 0 inf + 84395 578.929 * * [simplify]: Extracting #13: cost 0 inf + 84315 578.944 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 578.944 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 578.946 * * * * [progress]: [ 2085 / 4754 ] simplifiying candidate # 578.946 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 578.946 * * [simplify]: iters left: 6 (35 enodes) 578.955 * * [simplify]: iters left: 5 (173 enodes) 578.991 * * [simplify]: Extracting #0: cost 1 inf + 0 578.991 * * [simplify]: Extracting #1: cost 3 inf + 0 578.991 * * [simplify]: Extracting #2: cost 6 inf + 0 578.991 * * [simplify]: Extracting #3: cost 10 inf + 0 578.991 * * [simplify]: Extracting #4: cost 20 inf + 0 578.991 * * [simplify]: Extracting #5: cost 116 inf + 0 578.992 * * [simplify]: Extracting #6: cost 231 inf + 44 578.993 * * [simplify]: Extracting #7: cost 213 inf + 3761 578.996 * * [simplify]: Extracting #8: cost 111 inf + 23108 579.005 * * [simplify]: Extracting #9: cost 30 inf + 51136 579.019 * * [simplify]: Extracting #10: cost 2 inf + 64192 579.032 * * [simplify]: Extracting #11: cost 0 inf + 66442 579.044 * * [simplify]: Extracting #12: cost 0 inf + 65722 579.057 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 579.057 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.058 * * * * [progress]: [ 2086 / 4754 ] simplifiying candidate # 579.058 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 579.058 * * [simplify]: iters left: 6 (42 enodes) 579.069 * * [simplify]: iters left: 5 (212 enodes) 579.116 * * [simplify]: Extracting #0: cost 1 inf + 0 579.116 * * [simplify]: Extracting #1: cost 3 inf + 0 579.116 * * [simplify]: Extracting #2: cost 6 inf + 0 579.116 * * [simplify]: Extracting #3: cost 10 inf + 0 579.116 * * [simplify]: Extracting #4: cost 20 inf + 0 579.116 * * [simplify]: Extracting #5: cost 133 inf + 0 579.117 * * [simplify]: Extracting #6: cost 266 inf + 44 579.118 * * [simplify]: Extracting #7: cost 253 inf + 3678 579.121 * * [simplify]: Extracting #8: cost 180 inf + 16033 579.127 * * [simplify]: Extracting #9: cost 120 inf + 33638 579.140 * * [simplify]: Extracting #10: cost 11 inf + 77053 579.156 * * [simplify]: Extracting #11: cost 2 inf + 82225 579.174 * * [simplify]: Extracting #12: cost 0 inf + 85035 579.190 * * [simplify]: Extracting #13: cost 0 inf + 84955 579.206 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 579.206 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.206 * * * * [progress]: [ 2087 / 4754 ] simplifiying candidate # 579.207 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 579.207 * * [simplify]: iters left: 6 (35 enodes) 579.215 * * [simplify]: iters left: 5 (172 enodes) 579.253 * * [simplify]: Extracting #0: cost 1 inf + 0 579.253 * * [simplify]: Extracting #1: cost 3 inf + 0 579.253 * * [simplify]: Extracting #2: cost 6 inf + 0 579.253 * * [simplify]: Extracting #3: cost 10 inf + 0 579.253 * * [simplify]: Extracting #4: cost 20 inf + 0 579.253 * * [simplify]: Extracting #5: cost 116 inf + 0 579.254 * * [simplify]: Extracting #6: cost 226 inf + 44 579.255 * * [simplify]: Extracting #7: cost 210 inf + 3474 579.259 * * [simplify]: Extracting #8: cost 97 inf + 27775 579.268 * * [simplify]: Extracting #9: cost 15 inf + 55333 579.280 * * [simplify]: Extracting #10: cost 5 inf + 60421 579.292 * * [simplify]: Extracting #11: cost 2 inf + 63096 579.305 * * [simplify]: Extracting #12: cost 0 inf + 64986 579.317 * * [simplify]: Extracting #13: cost 0 inf + 64906 579.332 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 579.332 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.332 * * * * [progress]: [ 2088 / 4754 ] simplifiying candidate # 579.333 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 579.333 * * [simplify]: iters left: 6 (36 enodes) 579.342 * * [simplify]: iters left: 5 (180 enodes) 579.381 * * [simplify]: Extracting #0: cost 1 inf + 0 579.381 * * [simplify]: Extracting #1: cost 3 inf + 0 579.381 * * [simplify]: Extracting #2: cost 6 inf + 0 579.381 * * [simplify]: Extracting #3: cost 10 inf + 0 579.381 * * [simplify]: Extracting #4: cost 16 inf + 0 579.381 * * [simplify]: Extracting #5: cost 101 inf + 0 579.382 * * [simplify]: Extracting #6: cost 239 inf + 2 579.383 * * [simplify]: Extracting #7: cost 234 inf + 1925 579.387 * * [simplify]: Extracting #8: cost 114 inf + 26031 579.399 * * [simplify]: Extracting #9: cost 13 inf + 58585 579.411 * * [simplify]: Extracting #10: cost 1 inf + 65682 579.423 * * [simplify]: Extracting #11: cost 0 inf + 66365 579.436 * * [simplify]: Extracting #12: cost 0 inf + 66154 579.451 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) 579.451 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.451 * * * * [progress]: [ 2089 / 4754 ] simplifiying candidate # 579.452 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 579.452 * * [simplify]: iters left: 6 (35 enodes) 579.461 * * [simplify]: iters left: 5 (173 enodes) 579.498 * * [simplify]: Extracting #0: cost 1 inf + 0 579.498 * * [simplify]: Extracting #1: cost 3 inf + 0 579.499 * * [simplify]: Extracting #2: cost 6 inf + 0 579.499 * * [simplify]: Extracting #3: cost 10 inf + 0 579.499 * * [simplify]: Extracting #4: cost 19 inf + 0 579.499 * * [simplify]: Extracting #5: cost 108 inf + 0 579.500 * * [simplify]: Extracting #6: cost 240 inf + 0 579.501 * * [simplify]: Extracting #7: cost 233 inf + 1884 579.502 * * [simplify]: Extracting #8: cost 170 inf + 9637 579.506 * * [simplify]: Extracting #9: cost 105 inf + 25090 579.515 * * [simplify]: Extracting #10: cost 29 inf + 49396 579.526 * * [simplify]: Extracting #11: cost 2 inf + 60947 579.539 * * [simplify]: Extracting #12: cost 0 inf + 63197 579.552 * * [simplify]: Extracting #13: cost 0 inf + 63117 579.565 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (* (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 579.565 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (cbrt (* (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.565 * * * * [progress]: [ 2090 / 4754 ] simplifiying candidate # 579.565 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 579.566 * * [simplify]: iters left: 6 (47 enodes) 579.578 * * [simplify]: iters left: 5 (248 enodes) 579.637 * * [simplify]: Extracting #0: cost 1 inf + 0 579.637 * * [simplify]: Extracting #1: cost 3 inf + 0 579.637 * * [simplify]: Extracting #2: cost 6 inf + 0 579.637 * * [simplify]: Extracting #3: cost 10 inf + 0 579.637 * * [simplify]: Extracting #4: cost 20 inf + 0 579.637 * * [simplify]: Extracting #5: cost 138 inf + 0 579.638 * * [simplify]: Extracting #6: cost 303 inf + 1 579.639 * * [simplify]: Extracting #7: cost 336 inf + 3137 579.646 * * [simplify]: Extracting #8: cost 189 inf + 40689 579.663 * * [simplify]: Extracting #9: cost 39 inf + 104462 579.685 * * [simplify]: Extracting #10: cost 4 inf + 122306 579.709 * * [simplify]: Extracting #11: cost 0 inf + 124407 579.730 * * [simplify]: Extracting #12: cost 0 inf + 124287 579.753 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 579.753 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.753 * * * * [progress]: [ 2091 / 4754 ] simplifiying candidate # 579.754 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 579.754 * * [simplify]: iters left: 6 (48 enodes) 579.768 * * [simplify]: iters left: 5 (252 enodes) 579.826 * * [simplify]: Extracting #0: cost 1 inf + 0 579.826 * * [simplify]: Extracting #1: cost 3 inf + 0 579.826 * * [simplify]: Extracting #2: cost 6 inf + 0 579.826 * * [simplify]: Extracting #3: cost 10 inf + 0 579.826 * * [simplify]: Extracting #4: cost 20 inf + 0 579.826 * * [simplify]: Extracting #5: cost 135 inf + 0 579.827 * * [simplify]: Extracting #6: cost 304 inf + 1 579.828 * * [simplify]: Extracting #7: cost 331 inf + 3265 579.835 * * [simplify]: Extracting #8: cost 173 inf + 44214 579.854 * * [simplify]: Extracting #9: cost 42 inf + 95940 579.874 * * [simplify]: Extracting #10: cost 8 inf + 113308 579.895 * * [simplify]: Extracting #11: cost 1 inf + 118138 579.917 * * [simplify]: Extracting #12: cost 0 inf + 120043 579.940 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* (* phi1 phi1) (+ (* (* (- phi2) phi2) phi2) (* phi1 (* phi1 phi1)))) (* (* (- phi2) phi2) (+ (* (* (- phi2) phi2) phi2) (* phi1 (* phi1 phi1))))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 579.940 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* (* phi1 phi1) (+ (* (* (- phi2) phi2) phi2) (* phi1 (* phi1 phi1)))) (* (* (- phi2) phi2) (+ (* (* (- phi2) phi2) phi2) (* phi1 (* phi1 phi1))))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 579.940 * * * * [progress]: [ 2092 / 4754 ] simplifiying candidate # 579.941 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 579.941 * * [simplify]: iters left: 6 (48 enodes) 579.953 * * [simplify]: iters left: 5 (252 enodes) 580.014 * * [simplify]: Extracting #0: cost 1 inf + 0 580.014 * * [simplify]: Extracting #1: cost 3 inf + 0 580.014 * * [simplify]: Extracting #2: cost 6 inf + 0 580.014 * * [simplify]: Extracting #3: cost 10 inf + 0 580.014 * * [simplify]: Extracting #4: cost 20 inf + 0 580.014 * * [simplify]: Extracting #5: cost 138 inf + 0 580.015 * * [simplify]: Extracting #6: cost 306 inf + 1 580.016 * * [simplify]: Extracting #7: cost 327 inf + 3749 580.020 * * [simplify]: Extracting #8: cost 226 inf + 20576 580.029 * * [simplify]: Extracting #9: cost 102 inf + 63666 580.046 * * [simplify]: Extracting #10: cost 20 inf + 102389 580.066 * * [simplify]: Extracting #11: cost 1 inf + 115652 580.090 * * [simplify]: Extracting #12: cost 0 inf + 117357 580.111 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 580.111 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 580.112 * * * * [progress]: [ 2093 / 4754 ] simplifiying candidate # 580.112 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 580.112 * * [simplify]: iters left: 6 (48 enodes) 580.124 * * [simplify]: iters left: 5 (254 enodes) 580.183 * * [simplify]: Extracting #0: cost 1 inf + 0 580.184 * * [simplify]: Extracting #1: cost 3 inf + 0 580.184 * * [simplify]: Extracting #2: cost 6 inf + 0 580.184 * * [simplify]: Extracting #3: cost 10 inf + 0 580.184 * * [simplify]: Extracting #4: cost 20 inf + 0 580.184 * * [simplify]: Extracting #5: cost 140 inf + 0 580.185 * * [simplify]: Extracting #6: cost 299 inf + 44 580.186 * * [simplify]: Extracting #7: cost 314 inf + 3472 580.190 * * [simplify]: Extracting #8: cost 214 inf + 25106 580.201 * * [simplify]: Extracting #9: cost 74 inf + 71729 580.219 * * [simplify]: Extracting #10: cost 8 inf + 100171 580.240 * * [simplify]: Extracting #11: cost 1 inf + 106880 580.260 * * [simplify]: Extracting #12: cost 0 inf + 108465 580.279 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 580.279 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 580.280 * * * * [progress]: [ 2094 / 4754 ] simplifiying candidate # 580.280 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 580.280 * * [simplify]: iters left: 6 (45 enodes) 580.292 * * [simplify]: iters left: 5 (236 enodes) 580.346 * * [simplify]: Extracting #0: cost 1 inf + 0 580.346 * * [simplify]: Extracting #1: cost 3 inf + 0 580.346 * * [simplify]: Extracting #2: cost 6 inf + 0 580.346 * * [simplify]: Extracting #3: cost 10 inf + 0 580.346 * * [simplify]: Extracting #4: cost 24 inf + 0 580.346 * * [simplify]: Extracting #5: cost 145 inf + 0 580.347 * * [simplify]: Extracting #6: cost 275 inf + 1 580.348 * * [simplify]: Extracting #7: cost 299 inf + 1844 580.351 * * [simplify]: Extracting #8: cost 199 inf + 22815 580.359 * * [simplify]: Extracting #9: cost 118 inf + 50866 580.375 * * [simplify]: Extracting #10: cost 25 inf + 89637 580.397 * * [simplify]: Extracting #11: cost 2 inf + 105611 580.417 * * [simplify]: Extracting #12: cost 0 inf + 108661 580.436 * * [simplify]: Extracting #13: cost 0 inf + 108581 580.456 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))) 580.456 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 580.457 * * * * [progress]: [ 2095 / 4754 ] simplifiying candidate # 580.457 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 580.457 * * [simplify]: iters left: 6 (47 enodes) 580.471 * * [simplify]: iters left: 5 (246 enodes) 580.525 * * [simplify]: Extracting #0: cost 1 inf + 0 580.525 * * [simplify]: Extracting #1: cost 3 inf + 0 580.526 * * [simplify]: Extracting #2: cost 6 inf + 0 580.526 * * [simplify]: Extracting #3: cost 10 inf + 0 580.526 * * [simplify]: Extracting #4: cost 24 inf + 0 580.526 * * [simplify]: Extracting #5: cost 146 inf + 0 580.526 * * [simplify]: Extracting #6: cost 285 inf + 44 580.528 * * [simplify]: Extracting #7: cost 304 inf + 2657 580.532 * * [simplify]: Extracting #8: cost 194 inf + 25551 580.546 * * [simplify]: Extracting #9: cost 54 inf + 75643 580.563 * * [simplify]: Extracting #10: cost 8 inf + 95351 580.581 * * [simplify]: Extracting #11: cost 1 inf + 99381 580.600 * * [simplify]: Extracting #12: cost 0 inf + 101046 580.619 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 580.619 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 580.619 * * * * [progress]: [ 2096 / 4754 ] simplifiying candidate # 580.620 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 580.620 * * [simplify]: iters left: 6 (46 enodes) 580.632 * * [simplify]: iters left: 5 (238 enodes) 580.688 * * [simplify]: Extracting #0: cost 1 inf + 0 580.688 * * [simplify]: Extracting #1: cost 3 inf + 0 580.688 * * [simplify]: Extracting #2: cost 6 inf + 0 580.688 * * [simplify]: Extracting #3: cost 10 inf + 0 580.688 * * [simplify]: Extracting #4: cost 24 inf + 0 580.688 * * [simplify]: Extracting #5: cost 146 inf + 0 580.689 * * [simplify]: Extracting #6: cost 276 inf + 1 580.690 * * [simplify]: Extracting #7: cost 297 inf + 2570 580.693 * * [simplify]: Extracting #8: cost 214 inf + 17129 580.702 * * [simplify]: Extracting #9: cost 125 inf + 47740 580.717 * * [simplify]: Extracting #10: cost 21 inf + 93981 580.736 * * [simplify]: Extracting #11: cost 2 inf + 106495 580.756 * * [simplify]: Extracting #12: cost 0 inf + 109585 580.776 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 580.776 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 580.777 * * * * [progress]: [ 2097 / 4754 ] simplifiying candidate # 580.777 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 580.778 * * [simplify]: iters left: 6 (47 enodes) 580.790 * * [simplify]: iters left: 5 (246 enodes) 580.847 * * [simplify]: Extracting #0: cost 1 inf + 0 580.847 * * [simplify]: Extracting #1: cost 3 inf + 0 580.847 * * [simplify]: Extracting #2: cost 6 inf + 0 580.847 * * [simplify]: Extracting #3: cost 10 inf + 0 580.847 * * [simplify]: Extracting #4: cost 24 inf + 0 580.847 * * [simplify]: Extracting #5: cost 145 inf + 0 580.848 * * [simplify]: Extracting #6: cost 285 inf + 44 580.849 * * [simplify]: Extracting #7: cost 304 inf + 2657 580.853 * * [simplify]: Extracting #8: cost 194 inf + 25551 580.865 * * [simplify]: Extracting #9: cost 54 inf + 75723 580.883 * * [simplify]: Extracting #10: cost 6 inf + 97468 580.901 * * [simplify]: Extracting #11: cost 1 inf + 99621 580.921 * * [simplify]: Extracting #12: cost 0 inf + 101286 580.940 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 580.940 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 580.940 * * * * [progress]: [ 2098 / 4754 ] simplifiying candidate # 580.941 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 580.941 * * [simplify]: iters left: 6 (47 enodes) 580.953 * * [simplify]: iters left: 5 (243 enodes) 581.012 * * [simplify]: Extracting #0: cost 1 inf + 0 581.012 * * [simplify]: Extracting #1: cost 3 inf + 0 581.012 * * [simplify]: Extracting #2: cost 6 inf + 0 581.012 * * [simplify]: Extracting #3: cost 10 inf + 0 581.012 * * [simplify]: Extracting #4: cost 20 inf + 0 581.013 * * [simplify]: Extracting #5: cost 132 inf + 0 581.013 * * [simplify]: Extracting #6: cost 284 inf + 1 581.014 * * [simplify]: Extracting #7: cost 319 inf + 2330 581.017 * * [simplify]: Extracting #8: cost 225 inf + 17219 581.025 * * [simplify]: Extracting #9: cost 131 inf + 48470 581.041 * * [simplify]: Extracting #10: cost 24 inf + 95308 581.060 * * [simplify]: Extracting #11: cost 4 inf + 109641 581.083 * * [simplify]: Extracting #12: cost 1 inf + 114236 581.104 * * [simplify]: Extracting #13: cost 0 inf + 115941 581.125 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 581.125 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 581.125 * * * * [progress]: [ 2099 / 4754 ] simplifiying candidate # 581.126 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 581.126 * * [simplify]: iters left: 6 (48 enodes) 581.138 * * [simplify]: iters left: 5 (251 enodes) 581.196 * * [simplify]: Extracting #0: cost 1 inf + 0 581.196 * * [simplify]: Extracting #1: cost 3 inf + 0 581.196 * * [simplify]: Extracting #2: cost 6 inf + 0 581.196 * * [simplify]: Extracting #3: cost 10 inf + 0 581.196 * * [simplify]: Extracting #4: cost 20 inf + 0 581.197 * * [simplify]: Extracting #5: cost 135 inf + 0 581.197 * * [simplify]: Extracting #6: cost 304 inf + 1 581.199 * * [simplify]: Extracting #7: cost 329 inf + 3143 581.202 * * [simplify]: Extracting #8: cost 219 inf + 20390 581.211 * * [simplify]: Extracting #9: cost 110 inf + 60014 581.232 * * [simplify]: Extracting #10: cost 15 inf + 108037 581.253 * * [simplify]: Extracting #11: cost 1 inf + 116815 581.274 * * [simplify]: Extracting #12: cost 0 inf + 118520 581.294 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 581.294 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 581.295 * * * * [progress]: [ 2100 / 4754 ] simplifiying candidate # 581.295 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 581.296 * * [simplify]: iters left: 6 (48 enodes) 581.711 * * [simplify]: iters left: 5 (251 enodes) 581.768 * * [simplify]: Extracting #0: cost 1 inf + 0 581.768 * * [simplify]: Extracting #1: cost 3 inf + 0 581.768 * * [simplify]: Extracting #2: cost 6 inf + 0 581.768 * * [simplify]: Extracting #3: cost 10 inf + 0 581.768 * * [simplify]: Extracting #4: cost 20 inf + 0 581.768 * * [simplify]: Extracting #5: cost 138 inf + 0 581.773 * * [simplify]: Extracting #6: cost 306 inf + 1 581.774 * * [simplify]: Extracting #7: cost 331 inf + 2849 581.778 * * [simplify]: Extracting #8: cost 235 inf + 18108 581.787 * * [simplify]: Extracting #9: cost 115 inf + 58860 581.804 * * [simplify]: Extracting #10: cost 15 inf + 101941 581.824 * * [simplify]: Extracting #11: cost 2 inf + 113346 581.845 * * [simplify]: Extracting #12: cost 0 inf + 116716 581.867 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) 581.867 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 581.867 * * * * [progress]: [ 2101 / 4754 ] simplifiying candidate # 581.868 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 581.868 * * [simplify]: iters left: 6 (48 enodes) 581.880 * * [simplify]: iters left: 5 (249 enodes) 581.938 * * [simplify]: Extracting #0: cost 1 inf + 0 581.938 * * [simplify]: Extracting #1: cost 3 inf + 0 581.938 * * [simplify]: Extracting #2: cost 6 inf + 0 581.938 * * [simplify]: Extracting #3: cost 10 inf + 0 581.938 * * [simplify]: Extracting #4: cost 20 inf + 0 581.939 * * [simplify]: Extracting #5: cost 134 inf + 0 581.939 * * [simplify]: Extracting #6: cost 283 inf + 44 581.940 * * [simplify]: Extracting #7: cost 299 inf + 2579 581.943 * * [simplify]: Extracting #8: cost 209 inf + 16543 581.952 * * [simplify]: Extracting #9: cost 115 inf + 47766 581.967 * * [simplify]: Extracting #10: cost 23 inf + 84087 581.984 * * [simplify]: Extracting #11: cost 5 inf + 94431 582.004 * * [simplify]: Extracting #12: cost 1 inf + 100531 582.023 * * [simplify]: Extracting #13: cost 0 inf + 102196 582.041 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) 582.041 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 582.042 * * * * [progress]: [ 2102 / 4754 ] simplifiying candidate # 582.042 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 582.042 * * [simplify]: iters left: 6 (45 enodes) 582.054 * * [simplify]: iters left: 5 (233 enodes) 582.109 * * [simplify]: Extracting #0: cost 1 inf + 0 582.109 * * [simplify]: Extracting #1: cost 3 inf + 0 582.109 * * [simplify]: Extracting #2: cost 6 inf + 0 582.109 * * [simplify]: Extracting #3: cost 10 inf + 0 582.109 * * [simplify]: Extracting #4: cost 24 inf + 0 582.109 * * [simplify]: Extracting #5: cost 136 inf + 0 582.110 * * [simplify]: Extracting #6: cost 259 inf + 1 582.111 * * [simplify]: Extracting #7: cost 273 inf + 2816 582.115 * * [simplify]: Extracting #8: cost 159 inf + 26930 582.127 * * [simplify]: Extracting #9: cost 35 inf + 78711 582.145 * * [simplify]: Extracting #10: cost 3 inf + 98403 582.165 * * [simplify]: Extracting #11: cost 0 inf + 100463 582.184 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 582.184 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 582.184 * * * * [progress]: [ 2103 / 4754 ] simplifiying candidate # 582.184 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 582.185 * * [simplify]: iters left: 6 (47 enodes) 582.197 * * [simplify]: iters left: 5 (245 enodes) 582.259 * * [simplify]: Extracting #0: cost 1 inf + 0 582.259 * * [simplify]: Extracting #1: cost 3 inf + 0 582.259 * * [simplify]: Extracting #2: cost 6 inf + 0 582.259 * * [simplify]: Extracting #3: cost 10 inf + 0 582.259 * * [simplify]: Extracting #4: cost 24 inf + 0 582.259 * * [simplify]: Extracting #5: cost 144 inf + 0 582.260 * * [simplify]: Extracting #6: cost 284 inf + 44 582.261 * * [simplify]: Extracting #7: cost 290 inf + 3877 582.265 * * [simplify]: Extracting #8: cost 180 inf + 26431 582.273 * * [simplify]: Extracting #9: cost 117 inf + 45644 582.286 * * [simplify]: Extracting #10: cost 21 inf + 83184 582.304 * * [simplify]: Extracting #11: cost 3 inf + 94271 582.324 * * [simplify]: Extracting #12: cost 1 inf + 97561 582.342 * * [simplify]: Extracting #13: cost 0 inf + 99226 582.360 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 582.360 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 582.360 * * * * [progress]: [ 2104 / 4754 ] simplifiying candidate # 582.361 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 582.361 * * [simplify]: iters left: 6 (46 enodes) 582.373 * * [simplify]: iters left: 5 (236 enodes) 582.426 * * [simplify]: Extracting #0: cost 1 inf + 0 582.426 * * [simplify]: Extracting #1: cost 3 inf + 0 582.426 * * [simplify]: Extracting #2: cost 6 inf + 0 582.426 * * [simplify]: Extracting #3: cost 10 inf + 0 582.426 * * [simplify]: Extracting #4: cost 24 inf + 0 582.427 * * [simplify]: Extracting #5: cost 136 inf + 0 582.427 * * [simplify]: Extracting #6: cost 259 inf + 1 582.428 * * [simplify]: Extracting #7: cost 274 inf + 3018 582.432 * * [simplify]: Extracting #8: cost 188 inf + 19182 582.439 * * [simplify]: Extracting #9: cost 113 inf + 43836 582.455 * * [simplify]: Extracting #10: cost 23 inf + 85679 582.472 * * [simplify]: Extracting #11: cost 3 inf + 96548 582.490 * * [simplify]: Extracting #12: cost 1 inf + 99678 582.508 * * [simplify]: Extracting #13: cost 0 inf + 101263 582.527 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 582.528 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 582.528 * * * * [progress]: [ 2105 / 4754 ] simplifiying candidate # 582.528 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 582.529 * * [simplify]: iters left: 6 (47 enodes) 582.543 * * [simplify]: iters left: 5 (245 enodes) 582.597 * * [simplify]: Extracting #0: cost 1 inf + 0 582.597 * * [simplify]: Extracting #1: cost 3 inf + 0 582.597 * * [simplify]: Extracting #2: cost 6 inf + 0 582.597 * * [simplify]: Extracting #3: cost 10 inf + 0 582.597 * * [simplify]: Extracting #4: cost 24 inf + 0 582.597 * * [simplify]: Extracting #5: cost 143 inf + 0 582.598 * * [simplify]: Extracting #6: cost 284 inf + 44 582.599 * * [simplify]: Extracting #7: cost 291 inf + 3835 582.603 * * [simplify]: Extracting #8: cost 184 inf + 24899 582.613 * * [simplify]: Extracting #9: cost 120 inf + 44373 582.627 * * [simplify]: Extracting #10: cost 23 inf + 82654 582.644 * * [simplify]: Extracting #11: cost 3 inf + 94591 582.661 * * [simplify]: Extracting #12: cost 1 inf + 97881 582.680 * * [simplify]: Extracting #13: cost 0 inf + 99546 582.698 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 582.698 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 582.699 * * * * [progress]: [ 2106 / 4754 ] simplifiying candidate # 582.699 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 582.699 * * [simplify]: iters left: 6 (47 enodes) 582.711 * * [simplify]: iters left: 5 (244 enodes) 582.770 * * [simplify]: Extracting #0: cost 1 inf + 0 582.770 * * [simplify]: Extracting #1: cost 3 inf + 0 582.770 * * [simplify]: Extracting #2: cost 6 inf + 0 582.770 * * [simplify]: Extracting #3: cost 10 inf + 0 582.770 * * [simplify]: Extracting #4: cost 20 inf + 0 582.770 * * [simplify]: Extracting #5: cost 132 inf + 0 582.770 * * [simplify]: Extracting #6: cost 279 inf + 1 582.772 * * [simplify]: Extracting #7: cost 312 inf + 1964 582.775 * * [simplify]: Extracting #8: cost 226 inf + 15355 582.782 * * [simplify]: Extracting #9: cost 133 inf + 47804 582.799 * * [simplify]: Extracting #10: cost 25 inf + 97339 582.819 * * [simplify]: Extracting #11: cost 4 inf + 109334 582.842 * * [simplify]: Extracting #12: cost 0 inf + 115514 582.863 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 582.863 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 582.864 * * * * [progress]: [ 2107 / 4754 ] simplifiying candidate # 582.864 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 582.864 * * [simplify]: iters left: 6 (48 enodes) 582.877 * * [simplify]: iters left: 5 (252 enodes) 582.938 * * [simplify]: Extracting #0: cost 1 inf + 0 582.938 * * [simplify]: Extracting #1: cost 3 inf + 0 582.938 * * [simplify]: Extracting #2: cost 6 inf + 0 582.938 * * [simplify]: Extracting #3: cost 10 inf + 0 582.938 * * [simplify]: Extracting #4: cost 20 inf + 0 582.938 * * [simplify]: Extracting #5: cost 135 inf + 0 582.939 * * [simplify]: Extracting #6: cost 299 inf + 1 582.940 * * [simplify]: Extracting #7: cost 325 inf + 2608 582.945 * * [simplify]: Extracting #8: cost 197 inf + 29688 582.955 * * [simplify]: Extracting #9: cost 108 inf + 59934 582.971 * * [simplify]: Extracting #10: cost 30 inf + 94916 582.994 * * [simplify]: Extracting #11: cost 2 inf + 115203 583.015 * * [simplify]: Extracting #12: cost 0 inf + 118613 583.036 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) 583.036 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.037 * * * * [progress]: [ 2108 / 4754 ] simplifiying candidate # 583.037 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 583.037 * * [simplify]: iters left: 6 (48 enodes) 583.049 * * [simplify]: iters left: 5 (252 enodes) 583.107 * * [simplify]: Extracting #0: cost 1 inf + 0 583.107 * * [simplify]: Extracting #1: cost 3 inf + 0 583.107 * * [simplify]: Extracting #2: cost 6 inf + 0 583.107 * * [simplify]: Extracting #3: cost 10 inf + 0 583.107 * * [simplify]: Extracting #4: cost 20 inf + 0 583.108 * * [simplify]: Extracting #5: cost 138 inf + 0 583.108 * * [simplify]: Extracting #6: cost 302 inf + 1 583.110 * * [simplify]: Extracting #7: cost 318 inf + 3099 583.116 * * [simplify]: Extracting #8: cost 160 inf + 42264 583.133 * * [simplify]: Extracting #9: cost 37 inf + 94609 583.156 * * [simplify]: Extracting #10: cost 5 inf + 114460 583.177 * * [simplify]: Extracting #11: cost 0 inf + 117053 583.198 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 583.198 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.199 * * * * [progress]: [ 2109 / 4754 ] simplifiying candidate # 583.199 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 583.199 * * [simplify]: iters left: 6 (48 enodes) 583.211 * * [simplify]: iters left: 5 (250 enodes) 583.268 * * [simplify]: Extracting #0: cost 1 inf + 0 583.268 * * [simplify]: Extracting #1: cost 3 inf + 0 583.268 * * [simplify]: Extracting #2: cost 6 inf + 0 583.268 * * [simplify]: Extracting #3: cost 10 inf + 0 583.269 * * [simplify]: Extracting #4: cost 20 inf + 0 583.269 * * [simplify]: Extracting #5: cost 134 inf + 0 583.269 * * [simplify]: Extracting #6: cost 279 inf + 44 583.271 * * [simplify]: Extracting #7: cost 287 inf + 2822 583.274 * * [simplify]: Extracting #8: cost 208 inf + 15813 583.281 * * [simplify]: Extracting #9: cost 123 inf + 44667 583.298 * * [simplify]: Extracting #10: cost 24 inf + 84183 583.315 * * [simplify]: Extracting #11: cost 5 inf + 94589 583.334 * * [simplify]: Extracting #12: cost 0 inf + 102354 583.352 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 583.352 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.353 * * * * [progress]: [ 2110 / 4754 ] simplifiying candidate # 583.353 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 583.353 * * [simplify]: iters left: 6 (45 enodes) 583.365 * * [simplify]: iters left: 5 (236 enodes) 583.419 * * [simplify]: Extracting #0: cost 1 inf + 0 583.419 * * [simplify]: Extracting #1: cost 3 inf + 0 583.419 * * [simplify]: Extracting #2: cost 6 inf + 0 583.419 * * [simplify]: Extracting #3: cost 10 inf + 0 583.419 * * [simplify]: Extracting #4: cost 24 inf + 0 583.420 * * [simplify]: Extracting #5: cost 135 inf + 0 583.420 * * [simplify]: Extracting #6: cost 260 inf + 1 583.421 * * [simplify]: Extracting #7: cost 269 inf + 2492 583.425 * * [simplify]: Extracting #8: cost 196 inf + 14988 583.431 * * [simplify]: Extracting #9: cost 125 inf + 39925 583.449 * * [simplify]: Extracting #10: cost 31 inf + 82115 583.467 * * [simplify]: Extracting #11: cost 2 inf + 100238 583.486 * * [simplify]: Extracting #12: cost 0 inf + 103448 583.505 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))))) 583.505 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.506 * * * * [progress]: [ 2111 / 4754 ] simplifiying candidate # 583.506 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 583.506 * * [simplify]: iters left: 6 (47 enodes) 583.520 * * [simplify]: iters left: 5 (246 enodes) 583.575 * * [simplify]: Extracting #0: cost 1 inf + 0 583.575 * * [simplify]: Extracting #1: cost 3 inf + 0 583.575 * * [simplify]: Extracting #2: cost 6 inf + 0 583.575 * * [simplify]: Extracting #3: cost 10 inf + 0 583.575 * * [simplify]: Extracting #4: cost 24 inf + 0 583.575 * * [simplify]: Extracting #5: cost 144 inf + 0 583.576 * * [simplify]: Extracting #6: cost 278 inf + 44 583.577 * * [simplify]: Extracting #7: cost 284 inf + 2865 583.582 * * [simplify]: Extracting #8: cost 164 inf + 30560 583.597 * * [simplify]: Extracting #9: cost 40 inf + 77499 583.614 * * [simplify]: Extracting #10: cost 14 inf + 90083 583.632 * * [simplify]: Extracting #11: cost 0 inf + 98494 583.650 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 583.650 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.651 * * * * [progress]: [ 2112 / 4754 ] simplifiying candidate # 583.651 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 583.651 * * [simplify]: iters left: 6 (46 enodes) 583.663 * * [simplify]: iters left: 5 (238 enodes) 583.717 * * [simplify]: Extracting #0: cost 1 inf + 0 583.717 * * [simplify]: Extracting #1: cost 3 inf + 0 583.717 * * [simplify]: Extracting #2: cost 6 inf + 0 583.717 * * [simplify]: Extracting #3: cost 10 inf + 0 583.718 * * [simplify]: Extracting #4: cost 24 inf + 0 583.718 * * [simplify]: Extracting #5: cost 136 inf + 0 583.718 * * [simplify]: Extracting #6: cost 261 inf + 1 583.719 * * [simplify]: Extracting #7: cost 276 inf + 1881 583.722 * * [simplify]: Extracting #8: cost 197 inf + 14952 583.729 * * [simplify]: Extracting #9: cost 129 inf + 39066 583.747 * * [simplify]: Extracting #10: cost 25 inf + 84881 583.765 * * [simplify]: Extracting #11: cost 2 inf + 101242 583.784 * * [simplify]: Extracting #12: cost 0 inf + 104452 583.803 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 583.803 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.803 * * * * [progress]: [ 2113 / 4754 ] simplifiying candidate # 583.804 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 583.804 * * [simplify]: iters left: 6 (47 enodes) 583.816 * * [simplify]: iters left: 5 (246 enodes) 583.872 * * [simplify]: Extracting #0: cost 1 inf + 0 583.872 * * [simplify]: Extracting #1: cost 3 inf + 0 583.872 * * [simplify]: Extracting #2: cost 6 inf + 0 583.872 * * [simplify]: Extracting #3: cost 10 inf + 0 583.872 * * [simplify]: Extracting #4: cost 24 inf + 0 583.872 * * [simplify]: Extracting #5: cost 143 inf + 0 583.873 * * [simplify]: Extracting #6: cost 279 inf + 44 583.874 * * [simplify]: Extracting #7: cost 288 inf + 2338 583.879 * * [simplify]: Extracting #8: cost 166 inf + 29937 583.894 * * [simplify]: Extracting #9: cost 43 inf + 77024 583.910 * * [simplify]: Extracting #10: cost 11 inf + 91956 583.929 * * [simplify]: Extracting #11: cost 1 inf + 97233 583.946 * * [simplify]: Extracting #12: cost 0 inf + 98938 583.964 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 583.964 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 583.965 * * * * [progress]: [ 2114 / 4754 ] simplifiying candidate # 583.965 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 583.966 * * [simplify]: iters left: 6 (38 enodes) 583.977 * * [simplify]: iters left: 5 (190 enodes) 584.019 * * [simplify]: Extracting #0: cost 1 inf + 0 584.019 * * [simplify]: Extracting #1: cost 3 inf + 0 584.019 * * [simplify]: Extracting #2: cost 6 inf + 0 584.019 * * [simplify]: Extracting #3: cost 10 inf + 0 584.019 * * [simplify]: Extracting #4: cost 20 inf + 0 584.019 * * [simplify]: Extracting #5: cost 125 inf + 0 584.020 * * [simplify]: Extracting #6: cost 233 inf + 1 584.021 * * [simplify]: Extracting #7: cost 249 inf + 2448 584.023 * * [simplify]: Extracting #8: cost 185 inf + 11630 584.030 * * [simplify]: Extracting #9: cost 83 inf + 44261 584.046 * * [simplify]: Extracting #10: cost 8 inf + 76738 584.062 * * [simplify]: Extracting #11: cost 2 inf + 83128 584.078 * * [simplify]: Extracting #12: cost 1 inf + 84313 584.093 * * [simplify]: Extracting #13: cost 0 inf + 85618 584.109 * * [simplify]: Extracting #14: cost 0 inf + 85578 584.124 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 584.124 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 584.125 * * * * [progress]: [ 2115 / 4754 ] simplifiying candidate # 584.125 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 584.126 * * [simplify]: iters left: 6 (39 enodes) 584.136 * * [simplify]: iters left: 5 (195 enodes) 584.179 * * [simplify]: Extracting #0: cost 1 inf + 0 584.179 * * [simplify]: Extracting #1: cost 3 inf + 0 584.179 * * [simplify]: Extracting #2: cost 6 inf + 0 584.179 * * [simplify]: Extracting #3: cost 10 inf + 0 584.179 * * [simplify]: Extracting #4: cost 20 inf + 0 584.179 * * [simplify]: Extracting #5: cost 124 inf + 0 584.180 * * [simplify]: Extracting #6: cost 245 inf + 1 584.181 * * [simplify]: Extracting #7: cost 252 inf + 2693 584.184 * * [simplify]: Extracting #8: cost 147 inf + 23839 584.192 * * [simplify]: Extracting #9: cost 79 inf + 46268 584.207 * * [simplify]: Extracting #10: cost 8 inf + 78483 584.222 * * [simplify]: Extracting #11: cost 3 inf + 82473 584.238 * * [simplify]: Extracting #12: cost 1 inf + 85363 584.253 * * [simplify]: Extracting #13: cost 0 inf + 86828 584.269 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) 584.269 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 584.270 * * * * [progress]: [ 2116 / 4754 ] simplifiying candidate # 584.270 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 584.270 * * [simplify]: iters left: 6 (39 enodes) 584.281 * * [simplify]: iters left: 5 (196 enodes) 584.324 * * [simplify]: Extracting #0: cost 1 inf + 0 584.324 * * [simplify]: Extracting #1: cost 3 inf + 0 584.324 * * [simplify]: Extracting #2: cost 6 inf + 0 584.324 * * [simplify]: Extracting #3: cost 10 inf + 0 584.324 * * [simplify]: Extracting #4: cost 20 inf + 0 584.324 * * [simplify]: Extracting #5: cost 126 inf + 0 584.325 * * [simplify]: Extracting #6: cost 254 inf + 1 584.326 * * [simplify]: Extracting #7: cost 264 inf + 1559 584.329 * * [simplify]: Extracting #8: cost 158 inf + 21945 584.341 * * [simplify]: Extracting #9: cost 23 inf + 74106 584.359 * * [simplify]: Extracting #10: cost 2 inf + 85227 584.375 * * [simplify]: Extracting #11: cost 1 inf + 86612 584.391 * * [simplify]: Extracting #12: cost 0 inf + 87997 584.407 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) 584.407 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 584.408 * * * * [progress]: [ 2117 / 4754 ] simplifiying candidate # 584.408 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 584.408 * * [simplify]: iters left: 6 (39 enodes) 584.418 * * [simplify]: iters left: 5 (198 enodes) 584.463 * * [simplify]: Extracting #0: cost 1 inf + 0 584.463 * * [simplify]: Extracting #1: cost 3 inf + 0 584.463 * * [simplify]: Extracting #2: cost 6 inf + 0 584.463 * * [simplify]: Extracting #3: cost 10 inf + 0 584.463 * * [simplify]: Extracting #4: cost 22 inf + 0 584.464 * * [simplify]: Extracting #5: cost 131 inf + 0 584.464 * * [simplify]: Extracting #6: cost 247 inf + 44 584.465 * * [simplify]: Extracting #7: cost 233 inf + 4158 584.468 * * [simplify]: Extracting #8: cost 171 inf + 13480 584.474 * * [simplify]: Extracting #9: cost 87 inf + 39137 584.486 * * [simplify]: Extracting #10: cost 14 inf + 68358 584.502 * * [simplify]: Extracting #11: cost 2 inf + 76512 584.518 * * [simplify]: Extracting #12: cost 0 inf + 79282 584.533 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 584.533 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 584.533 * * * * [progress]: [ 2118 / 4754 ] simplifiying candidate # 584.534 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 584.534 * * [simplify]: iters left: 6 (32 enodes) 584.542 * * [simplify]: iters left: 5 (153 enodes) 584.573 * * [simplify]: iters left: 4 (436 enodes) 584.761 * * [simplify]: Extracting #0: cost 1 inf + 0 584.761 * * [simplify]: Extracting #1: cost 4 inf + 0 584.761 * * [simplify]: Extracting #2: cost 7 inf + 0 584.761 * * [simplify]: Extracting #3: cost 24 inf + 0 584.761 * * [simplify]: Extracting #4: cost 274 inf + 0 584.767 * * [simplify]: Extracting #5: cost 666 inf + 698 584.772 * * [simplify]: Extracting #6: cost 655 inf + 22907 584.786 * * [simplify]: Extracting #7: cost 428 inf + 76459 584.813 * * [simplify]: Extracting #8: cost 215 inf + 151217 584.862 * * [simplify]: Extracting #9: cost 4 inf + 245843 584.915 * * [simplify]: Extracting #10: cost 0 inf + 246663 584.968 * [simplify]: Simplified to (fabs (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) 584.968 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 584.969 * * * * [progress]: [ 2119 / 4754 ] simplifiying candidate # 584.969 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 584.969 * * [simplify]: iters left: 6 (38 enodes) 584.980 * * [simplify]: iters left: 5 (189 enodes) 585.022 * * [simplify]: Extracting #0: cost 1 inf + 0 585.022 * * [simplify]: Extracting #1: cost 3 inf + 0 585.022 * * [simplify]: Extracting #2: cost 6 inf + 0 585.022 * * [simplify]: Extracting #3: cost 10 inf + 0 585.022 * * [simplify]: Extracting #4: cost 24 inf + 0 585.023 * * [simplify]: Extracting #5: cost 133 inf + 0 585.023 * * [simplify]: Extracting #6: cost 230 inf + 44 585.024 * * [simplify]: Extracting #7: cost 213 inf + 4043 585.028 * * [simplify]: Extracting #8: cost 130 inf + 21323 585.037 * * [simplify]: Extracting #9: cost 22 inf + 60634 585.050 * * [simplify]: Extracting #10: cost 9 inf + 67130 585.063 * * [simplify]: Extracting #11: cost 1 inf + 71754 585.079 * * [simplify]: Extracting #12: cost 0 inf + 73179 585.093 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) 585.093 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 585.093 * * * * [progress]: [ 2120 / 4754 ] simplifiying candidate # 585.094 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 585.094 * * [simplify]: iters left: 6 (36 enodes) 585.103 * * [simplify]: iters left: 5 (170 enodes) 585.135 * * [simplify]: iters left: 4 (469 enodes) 585.344 * * [simplify]: Extracting #0: cost 1 inf + 0 585.345 * * [simplify]: Extracting #1: cost 4 inf + 0 585.345 * * [simplify]: Extracting #2: cost 7 inf + 0 585.345 * * [simplify]: Extracting #3: cost 26 inf + 0 585.345 * * [simplify]: Extracting #4: cost 271 inf + 0 585.347 * * [simplify]: Extracting #5: cost 701 inf + 334 585.352 * * [simplify]: Extracting #6: cost 703 inf + 16215 585.365 * * [simplify]: Extracting #7: cost 459 inf + 73624 585.391 * * [simplify]: Extracting #8: cost 254 inf + 144139 585.440 * * [simplify]: Extracting #9: cost 21 inf + 244850 585.493 * * [simplify]: Extracting #10: cost 0 inf + 254775 585.549 * * [simplify]: Extracting #11: cost 0 inf + 254655 585.605 * [simplify]: Simplified to (fabs (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) 585.606 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 585.606 * * * * [progress]: [ 2121 / 4754 ] simplifiying candidate # 585.606 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 585.606 * * [simplify]: iters left: 6 (38 enodes) 585.617 * * [simplify]: iters left: 5 (190 enodes) 585.660 * * [simplify]: Extracting #0: cost 1 inf + 0 585.660 * * [simplify]: Extracting #1: cost 3 inf + 0 585.660 * * [simplify]: Extracting #2: cost 6 inf + 0 585.660 * * [simplify]: Extracting #3: cost 10 inf + 0 585.660 * * [simplify]: Extracting #4: cost 24 inf + 0 585.660 * * [simplify]: Extracting #5: cost 131 inf + 0 585.661 * * [simplify]: Extracting #6: cost 234 inf + 44 585.662 * * [simplify]: Extracting #7: cost 219 inf + 3675 585.666 * * [simplify]: Extracting #8: cost 99 inf + 31865 585.678 * * [simplify]: Extracting #9: cost 14 inf + 70222 585.692 * * [simplify]: Extracting #10: cost 2 inf + 73687 585.706 * * [simplify]: Extracting #11: cost 0 inf + 73991 585.720 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 585.720 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 585.721 * * * * [progress]: [ 2122 / 4754 ] simplifiying candidate # 585.721 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 585.721 * * [simplify]: iters left: 6 (48 enodes) 585.733 * * [simplify]: iters left: 5 (240 enodes) 585.787 * * [simplify]: Extracting #0: cost 1 inf + 0 585.787 * * [simplify]: Extracting #1: cost 3 inf + 0 585.787 * * [simplify]: Extracting #2: cost 6 inf + 0 585.787 * * [simplify]: Extracting #3: cost 10 inf + 0 585.788 * * [simplify]: Extracting #4: cost 20 inf + 0 585.788 * * [simplify]: Extracting #5: cost 134 inf + 0 585.788 * * [simplify]: Extracting #6: cost 277 inf + 1 585.790 * * [simplify]: Extracting #7: cost 292 inf + 3179 585.793 * * [simplify]: Extracting #8: cost 196 inf + 23358 585.808 * * [simplify]: Extracting #9: cost 51 inf + 81508 585.826 * * [simplify]: Extracting #10: cost 10 inf + 102389 585.845 * * [simplify]: Extracting #11: cost 1 inf + 110895 585.865 * * [simplify]: Extracting #12: cost 0 inf + 112560 585.885 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 585.885 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 585.886 * * * * [progress]: [ 2123 / 4754 ] simplifiying candidate # 585.886 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 585.887 * * [simplify]: iters left: 6 (49 enodes) 585.901 * * [simplify]: iters left: 5 (248 enodes) 585.957 * * [simplify]: Extracting #0: cost 1 inf + 0 585.957 * * [simplify]: Extracting #1: cost 3 inf + 0 585.957 * * [simplify]: Extracting #2: cost 6 inf + 0 585.957 * * [simplify]: Extracting #3: cost 10 inf + 0 585.957 * * [simplify]: Extracting #4: cost 20 inf + 0 585.957 * * [simplify]: Extracting #5: cost 137 inf + 0 585.958 * * [simplify]: Extracting #6: cost 296 inf + 1 585.959 * * [simplify]: Extracting #7: cost 306 inf + 2697 585.965 * * [simplify]: Extracting #8: cost 215 inf + 18793 585.972 * * [simplify]: Extracting #9: cost 150 inf + 40879 585.987 * * [simplify]: Extracting #10: cost 32 inf + 90163 586.006 * * [simplify]: Extracting #11: cost 2 inf + 111445 586.026 * * [simplify]: Extracting #12: cost 0 inf + 114895 586.047 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 586.047 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.048 * * * * [progress]: [ 2124 / 4754 ] simplifiying candidate # 586.048 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 586.048 * * [simplify]: iters left: 6 (49 enodes) 586.062 * * [simplify]: iters left: 5 (248 enodes) 586.126 * * [simplify]: Extracting #0: cost 1 inf + 0 586.126 * * [simplify]: Extracting #1: cost 3 inf + 0 586.126 * * [simplify]: Extracting #2: cost 6 inf + 0 586.126 * * [simplify]: Extracting #3: cost 10 inf + 0 586.126 * * [simplify]: Extracting #4: cost 20 inf + 0 586.126 * * [simplify]: Extracting #5: cost 140 inf + 0 586.127 * * [simplify]: Extracting #6: cost 297 inf + 1 586.128 * * [simplify]: Extracting #7: cost 298 inf + 3305 586.131 * * [simplify]: Extracting #8: cost 224 inf + 15525 586.138 * * [simplify]: Extracting #9: cost 136 inf + 45571 586.152 * * [simplify]: Extracting #10: cost 35 inf + 86874 586.171 * * [simplify]: Extracting #11: cost 2 inf + 109296 586.191 * * [simplify]: Extracting #12: cost 0 inf + 112746 586.212 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 586.212 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.212 * * * * [progress]: [ 2125 / 4754 ] simplifiying candidate # 586.213 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 586.213 * * [simplify]: iters left: 6 (49 enodes) 586.226 * * [simplify]: iters left: 5 (246 enodes) 586.282 * * [simplify]: Extracting #0: cost 1 inf + 0 586.282 * * [simplify]: Extracting #1: cost 3 inf + 0 586.282 * * [simplify]: Extracting #2: cost 6 inf + 0 586.282 * * [simplify]: Extracting #3: cost 10 inf + 0 586.282 * * [simplify]: Extracting #4: cost 22 inf + 0 586.282 * * [simplify]: Extracting #5: cost 139 inf + 0 586.283 * * [simplify]: Extracting #6: cost 278 inf + 44 586.284 * * [simplify]: Extracting #7: cost 265 inf + 5251 586.288 * * [simplify]: Extracting #8: cost 200 inf + 17421 586.294 * * [simplify]: Extracting #9: cost 131 inf + 39450 586.306 * * [simplify]: Extracting #10: cost 33 inf + 77340 586.323 * * [simplify]: Extracting #11: cost 2 inf + 96836 586.342 * * [simplify]: Extracting #12: cost 0 inf + 100286 586.361 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 586.361 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.362 * * * * [progress]: [ 2126 / 4754 ] simplifiying candidate # 586.362 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 586.362 * * [simplify]: iters left: 6 (46 enodes) 586.374 * * [simplify]: iters left: 5 (232 enodes) 586.430 * * [simplify]: Extracting #0: cost 1 inf + 0 586.430 * * [simplify]: Extracting #1: cost 3 inf + 0 586.430 * * [simplify]: Extracting #2: cost 6 inf + 0 586.430 * * [simplify]: Extracting #3: cost 10 inf + 0 586.430 * * [simplify]: Extracting #4: cost 24 inf + 0 586.430 * * [simplify]: Extracting #5: cost 146 inf + 0 586.431 * * [simplify]: Extracting #6: cost 265 inf + 1 586.431 * * [simplify]: Extracting #7: cost 268 inf + 1845 586.434 * * [simplify]: Extracting #8: cost 213 inf + 10383 586.440 * * [simplify]: Extracting #9: cost 131 inf + 37988 586.451 * * [simplify]: Extracting #10: cost 37 inf + 74863 586.468 * * [simplify]: Extracting #11: cost 4 inf + 97566 586.486 * * [simplify]: Extracting #12: cost 0 inf + 102386 586.505 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 586.505 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.506 * * * * [progress]: [ 2127 / 4754 ] simplifiying candidate # 586.506 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 586.507 * * [simplify]: iters left: 6 (48 enodes) 586.519 * * [simplify]: iters left: 5 (242 enodes) 586.571 * * [simplify]: Extracting #0: cost 1 inf + 0 586.571 * * [simplify]: Extracting #1: cost 3 inf + 0 586.571 * * [simplify]: Extracting #2: cost 6 inf + 0 586.571 * * [simplify]: Extracting #3: cost 10 inf + 0 586.571 * * [simplify]: Extracting #4: cost 24 inf + 0 586.573 * * [simplify]: Extracting #5: cost 148 inf + 0 586.574 * * [simplify]: Extracting #6: cost 276 inf + 44 586.575 * * [simplify]: Extracting #7: cost 265 inf + 4036 586.579 * * [simplify]: Extracting #8: cost 163 inf + 27050 586.591 * * [simplify]: Extracting #9: cost 38 inf + 74806 586.607 * * [simplify]: Extracting #10: cost 3 inf + 91259 586.624 * * [simplify]: Extracting #11: cost 0 inf + 94841 586.641 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 586.641 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.641 * * * * [progress]: [ 2128 / 4754 ] simplifiying candidate # 586.642 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 586.642 * * [simplify]: iters left: 6 (47 enodes) 586.656 * * [simplify]: iters left: 5 (234 enodes) 586.707 * * [simplify]: Extracting #0: cost 1 inf + 0 586.707 * * [simplify]: Extracting #1: cost 3 inf + 0 586.707 * * [simplify]: Extracting #2: cost 6 inf + 0 586.707 * * [simplify]: Extracting #3: cost 10 inf + 0 586.707 * * [simplify]: Extracting #4: cost 24 inf + 0 586.707 * * [simplify]: Extracting #5: cost 147 inf + 0 586.708 * * [simplify]: Extracting #6: cost 266 inf + 1 586.709 * * [simplify]: Extracting #7: cost 265 inf + 2411 586.712 * * [simplify]: Extracting #8: cost 208 inf + 12163 586.717 * * [simplify]: Extracting #9: cost 144 inf + 34240 586.733 * * [simplify]: Extracting #10: cost 32 inf + 81637 586.751 * * [simplify]: Extracting #11: cost 2 inf + 100060 586.769 * * [simplify]: Extracting #12: cost 0 inf + 103390 586.787 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 586.787 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.787 * * * * [progress]: [ 2129 / 4754 ] simplifiying candidate # 586.788 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 586.788 * * [simplify]: iters left: 6 (48 enodes) 586.800 * * [simplify]: iters left: 5 (242 enodes) 586.853 * * [simplify]: Extracting #0: cost 1 inf + 0 586.853 * * [simplify]: Extracting #1: cost 3 inf + 0 586.853 * * [simplify]: Extracting #2: cost 6 inf + 0 586.853 * * [simplify]: Extracting #3: cost 10 inf + 0 586.853 * * [simplify]: Extracting #4: cost 24 inf + 0 586.853 * * [simplify]: Extracting #5: cost 147 inf + 0 586.854 * * [simplify]: Extracting #6: cost 276 inf + 44 586.855 * * [simplify]: Extracting #7: cost 265 inf + 4117 586.858 * * [simplify]: Extracting #8: cost 185 inf + 20532 586.864 * * [simplify]: Extracting #9: cost 127 inf + 37936 586.879 * * [simplify]: Extracting #10: cost 25 inf + 78002 586.895 * * [simplify]: Extracting #11: cost 2 inf + 91711 586.911 * * [simplify]: Extracting #12: cost 0 inf + 95081 586.928 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) 586.928 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 586.929 * * * * [progress]: [ 2130 / 4754 ] simplifiying candidate # 586.929 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 586.929 * * [simplify]: iters left: 6 (41 enodes) 586.939 * * [simplify]: iters left: 5 (201 enodes) 586.984 * * [simplify]: Extracting #0: cost 1 inf + 0 586.984 * * [simplify]: Extracting #1: cost 3 inf + 0 586.984 * * [simplify]: Extracting #2: cost 6 inf + 0 586.984 * * [simplify]: Extracting #3: cost 10 inf + 0 586.984 * * [simplify]: Extracting #4: cost 20 inf + 0 586.984 * * [simplify]: Extracting #5: cost 127 inf + 0 586.985 * * [simplify]: Extracting #6: cost 255 inf + 1 586.986 * * [simplify]: Extracting #7: cost 270 inf + 2487 586.988 * * [simplify]: Extracting #8: cost 205 inf + 11670 586.993 * * [simplify]: Extracting #9: cost 121 inf + 35914 587.006 * * [simplify]: Extracting #10: cost 27 inf + 76291 587.026 * * [simplify]: Extracting #11: cost 0 inf + 94380 587.043 * * [simplify]: Extracting #12: cost 0 inf + 94100 587.060 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 587.060 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.061 * * * * [progress]: [ 2131 / 4754 ] simplifiying candidate # 587.061 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 587.061 * * [simplify]: iters left: 6 (42 enodes) 587.072 * * [simplify]: iters left: 5 (209 enodes) 587.121 * * [simplify]: Extracting #0: cost 1 inf + 0 587.121 * * [simplify]: Extracting #1: cost 3 inf + 0 587.121 * * [simplify]: Extracting #2: cost 6 inf + 0 587.121 * * [simplify]: Extracting #3: cost 10 inf + 0 587.121 * * [simplify]: Extracting #4: cost 20 inf + 0 587.121 * * [simplify]: Extracting #5: cost 130 inf + 0 587.122 * * [simplify]: Extracting #6: cost 274 inf + 1 587.123 * * [simplify]: Extracting #7: cost 281 inf + 2771 587.127 * * [simplify]: Extracting #8: cost 163 inf + 26541 587.139 * * [simplify]: Extracting #9: cost 37 inf + 74458 587.155 * * [simplify]: Extracting #10: cost 5 inf + 93138 587.172 * * [simplify]: Extracting #11: cost 0 inf + 96395 587.192 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))))) 587.192 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.192 * * * * [progress]: [ 2132 / 4754 ] simplifiying candidate # 587.193 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 587.193 * * [simplify]: iters left: 6 (42 enodes) 587.203 * * [simplify]: iters left: 5 (209 enodes) 587.248 * * [simplify]: Extracting #0: cost 1 inf + 0 587.248 * * [simplify]: Extracting #1: cost 3 inf + 0 587.248 * * [simplify]: Extracting #2: cost 6 inf + 0 587.248 * * [simplify]: Extracting #3: cost 10 inf + 0 587.248 * * [simplify]: Extracting #4: cost 20 inf + 0 587.252 * * [simplify]: Extracting #5: cost 133 inf + 0 587.252 * * [simplify]: Extracting #6: cost 276 inf + 1 587.253 * * [simplify]: Extracting #7: cost 270 inf + 3424 587.257 * * [simplify]: Extracting #8: cost 173 inf + 22948 587.263 * * [simplify]: Extracting #9: cost 110 inf + 41893 587.276 * * [simplify]: Extracting #10: cost 21 inf + 80282 587.293 * * [simplify]: Extracting #11: cost 1 inf + 93246 587.309 * * [simplify]: Extracting #12: cost 0 inf + 94591 587.326 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) 587.327 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.327 * * * * [progress]: [ 2133 / 4754 ] simplifiying candidate # 587.327 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 587.328 * * [simplify]: iters left: 6 (42 enodes) 587.340 * * [simplify]: iters left: 5 (207 enodes) 587.385 * * [simplify]: Extracting #0: cost 1 inf + 0 587.385 * * [simplify]: Extracting #1: cost 3 inf + 0 587.385 * * [simplify]: Extracting #2: cost 6 inf + 0 587.385 * * [simplify]: Extracting #3: cost 10 inf + 0 587.385 * * [simplify]: Extracting #4: cost 22 inf + 0 587.385 * * [simplify]: Extracting #5: cost 132 inf + 0 587.386 * * [simplify]: Extracting #6: cost 257 inf + 44 587.387 * * [simplify]: Extracting #7: cost 245 inf + 3669 587.390 * * [simplify]: Extracting #8: cost 172 inf + 15092 587.395 * * [simplify]: Extracting #9: cost 113 inf + 32087 587.409 * * [simplify]: Extracting #10: cost 19 inf + 70877 587.423 * * [simplify]: Extracting #11: cost 1 inf + 82565 587.438 * * [simplify]: Extracting #12: cost 0 inf + 83990 587.453 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ phi1 phi2)))))) 587.453 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.454 * * * * [progress]: [ 2134 / 4754 ] simplifiying candidate # 587.454 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 587.455 * * [simplify]: iters left: 6 (39 enodes) 587.464 * * [simplify]: iters left: 5 (191 enodes) 587.506 * * [simplify]: Extracting #0: cost 1 inf + 0 587.506 * * [simplify]: Extracting #1: cost 3 inf + 0 587.506 * * [simplify]: Extracting #2: cost 6 inf + 0 587.506 * * [simplify]: Extracting #3: cost 10 inf + 0 587.507 * * [simplify]: Extracting #4: cost 24 inf + 0 587.507 * * [simplify]: Extracting #5: cost 131 inf + 0 587.507 * * [simplify]: Extracting #6: cost 229 inf + 1 587.508 * * [simplify]: Extracting #7: cost 224 inf + 2211 587.511 * * [simplify]: Extracting #8: cost 146 inf + 17131 587.520 * * [simplify]: Extracting #9: cost 36 inf + 56978 587.533 * * [simplify]: Extracting #10: cost 10 inf + 72062 587.547 * * [simplify]: Extracting #11: cost 0 inf + 78818 587.563 * * [simplify]: Extracting #12: cost 0 inf + 78338 587.577 * * [simplify]: Extracting #13: cost 0 inf + 78258 587.591 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) 587.591 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.592 * * * * [progress]: [ 2135 / 4754 ] simplifiying candidate # 587.592 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 587.593 * * [simplify]: iters left: 6 (41 enodes) 587.603 * * [simplify]: iters left: 5 (203 enodes) 587.651 * * [simplify]: Extracting #0: cost 1 inf + 0 587.651 * * [simplify]: Extracting #1: cost 3 inf + 0 587.651 * * [simplify]: Extracting #2: cost 6 inf + 0 587.651 * * [simplify]: Extracting #3: cost 10 inf + 0 587.652 * * [simplify]: Extracting #4: cost 24 inf + 0 587.652 * * [simplify]: Extracting #5: cost 139 inf + 0 587.652 * * [simplify]: Extracting #6: cost 254 inf + 44 587.653 * * [simplify]: Extracting #7: cost 247 inf + 2778 587.656 * * [simplify]: Extracting #8: cost 169 inf + 13604 587.661 * * [simplify]: Extracting #9: cost 98 inf + 34337 587.672 * * [simplify]: Extracting #10: cost 20 inf + 65001 587.686 * * [simplify]: Extracting #11: cost 1 inf + 77156 587.700 * * [simplify]: Extracting #12: cost 0 inf + 78221 587.717 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 587.717 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.718 * * * * [progress]: [ 2136 / 4754 ] simplifiying candidate # 587.718 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 587.718 * * [simplify]: iters left: 6 (40 enodes) 587.729 * * [simplify]: iters left: 5 (194 enodes) 587.768 * * [simplify]: Extracting #0: cost 1 inf + 0 587.769 * * [simplify]: Extracting #1: cost 3 inf + 0 587.769 * * [simplify]: Extracting #2: cost 6 inf + 0 587.769 * * [simplify]: Extracting #3: cost 10 inf + 0 587.769 * * [simplify]: Extracting #4: cost 24 inf + 0 587.769 * * [simplify]: Extracting #5: cost 132 inf + 0 587.770 * * [simplify]: Extracting #6: cost 230 inf + 1 587.771 * * [simplify]: Extracting #7: cost 224 inf + 2897 587.773 * * [simplify]: Extracting #8: cost 139 inf + 19721 587.786 * * [simplify]: Extracting #9: cost 28 inf + 64773 587.800 * * [simplify]: Extracting #10: cost 4 inf + 76699 587.814 * * [simplify]: Extracting #11: cost 0 inf + 79062 587.829 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 587.829 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.830 * * * * [progress]: [ 2137 / 4754 ] simplifiying candidate # 587.830 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 587.830 * * [simplify]: iters left: 6 (41 enodes) 587.841 * * [simplify]: iters left: 5 (203 enodes) 587.886 * * [simplify]: Extracting #0: cost 1 inf + 0 587.886 * * [simplify]: Extracting #1: cost 3 inf + 0 587.886 * * [simplify]: Extracting #2: cost 6 inf + 0 587.886 * * [simplify]: Extracting #3: cost 10 inf + 0 587.886 * * [simplify]: Extracting #4: cost 24 inf + 0 587.886 * * [simplify]: Extracting #5: cost 138 inf + 0 587.887 * * [simplify]: Extracting #6: cost 254 inf + 44 587.888 * * [simplify]: Extracting #7: cost 246 inf + 2861 587.890 * * [simplify]: Extracting #8: cost 166 inf + 14455 587.895 * * [simplify]: Extracting #9: cost 100 inf + 34771 587.906 * * [simplify]: Extracting #10: cost 20 inf + 65281 587.920 * * [simplify]: Extracting #11: cost 1 inf + 77956 587.937 * * [simplify]: Extracting #12: cost 0 inf + 78821 587.952 * * [simplify]: Extracting #13: cost 0 inf + 78461 587.967 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 587.967 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 587.968 * * * * [progress]: [ 2138 / 4754 ] simplifiying candidate # 587.968 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 587.968 * * [simplify]: iters left: 6 (48 enodes) 587.980 * * [simplify]: iters left: 5 (240 enodes) 588.035 * * [simplify]: Extracting #0: cost 1 inf + 0 588.035 * * [simplify]: Extracting #1: cost 3 inf + 0 588.035 * * [simplify]: Extracting #2: cost 6 inf + 0 588.035 * * [simplify]: Extracting #3: cost 10 inf + 0 588.035 * * [simplify]: Extracting #4: cost 20 inf + 0 588.035 * * [simplify]: Extracting #5: cost 134 inf + 0 588.036 * * [simplify]: Extracting #6: cost 281 inf + 1 588.037 * * [simplify]: Extracting #7: cost 297 inf + 2898 588.041 * * [simplify]: Extracting #8: cost 197 inf + 24311 588.052 * * [simplify]: Extracting #9: cost 50 inf + 80313 588.070 * * [simplify]: Extracting #10: cost 10 inf + 101429 588.091 * * [simplify]: Extracting #11: cost 2 inf + 108230 588.110 * * [simplify]: Extracting #12: cost 0 inf + 111600 588.129 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 588.129 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 588.130 * * * * [progress]: [ 2139 / 4754 ] simplifiying candidate # 588.130 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 588.130 * * [simplify]: iters left: 6 (49 enodes) 588.143 * * [simplify]: iters left: 5 (248 enodes) 588.198 * * [simplify]: Extracting #0: cost 1 inf + 0 588.198 * * [simplify]: Extracting #1: cost 3 inf + 0 588.198 * * [simplify]: Extracting #2: cost 6 inf + 0 588.198 * * [simplify]: Extracting #3: cost 10 inf + 0 588.198 * * [simplify]: Extracting #4: cost 20 inf + 0 588.199 * * [simplify]: Extracting #5: cost 137 inf + 0 588.199 * * [simplify]: Extracting #6: cost 300 inf + 1 588.200 * * [simplify]: Extracting #7: cost 311 inf + 2696 588.204 * * [simplify]: Extracting #8: cost 216 inf + 19519 588.211 * * [simplify]: Extracting #9: cost 147 inf + 41750 588.225 * * [simplify]: Extracting #10: cost 31 inf + 90990 588.245 * * [simplify]: Extracting #11: cost 2 inf + 110485 588.265 * * [simplify]: Extracting #12: cost 0 inf + 113935 588.286 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 588.286 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 588.287 * * * * [progress]: [ 2140 / 4754 ] simplifiying candidate # 588.287 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 588.287 * * [simplify]: iters left: 6 (49 enodes) 588.300 * * [simplify]: iters left: 5 (248 enodes) 588.355 * * [simplify]: Extracting #0: cost 1 inf + 0 588.355 * * [simplify]: Extracting #1: cost 3 inf + 0 588.355 * * [simplify]: Extracting #2: cost 6 inf + 0 588.355 * * [simplify]: Extracting #3: cost 10 inf + 0 588.355 * * [simplify]: Extracting #4: cost 20 inf + 0 588.356 * * [simplify]: Extracting #5: cost 140 inf + 0 588.356 * * [simplify]: Extracting #6: cost 301 inf + 1 588.358 * * [simplify]: Extracting #7: cost 301 inf + 3953 588.361 * * [simplify]: Extracting #8: cost 214 inf + 20486 588.368 * * [simplify]: Extracting #9: cost 137 inf + 44180 588.384 * * [simplify]: Extracting #10: cost 38 inf + 85316 588.402 * * [simplify]: Extracting #11: cost 2 inf + 108336 588.421 * * [simplify]: Extracting #12: cost 0 inf + 111786 588.441 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 588.441 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 588.441 * * * * [progress]: [ 2141 / 4754 ] simplifiying candidate # 588.442 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 588.442 * * [simplify]: iters left: 6 (49 enodes) 588.454 * * [simplify]: iters left: 5 (246 enodes) 588.508 * * [simplify]: Extracting #0: cost 1 inf + 0 588.508 * * [simplify]: Extracting #1: cost 3 inf + 0 588.508 * * [simplify]: Extracting #2: cost 6 inf + 0 588.509 * * [simplify]: Extracting #3: cost 10 inf + 0 588.509 * * [simplify]: Extracting #4: cost 22 inf + 0 588.509 * * [simplify]: Extracting #5: cost 139 inf + 0 588.509 * * [simplify]: Extracting #6: cost 282 inf + 44 588.511 * * [simplify]: Extracting #7: cost 270 inf + 5291 588.514 * * [simplify]: Extracting #8: cost 200 inf + 18147 588.521 * * [simplify]: Extracting #9: cost 126 inf + 40911 588.535 * * [simplify]: Extracting #10: cost 32 inf + 77805 588.552 * * [simplify]: Extracting #11: cost 2 inf + 96036 588.569 * * [simplify]: Extracting #12: cost 0 inf + 99486 588.587 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 588.587 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))))) (cbrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 588.588 * * * * [progress]: [ 2142 / 4754 ] simplifiying candidate # 588.588 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 588.588 * * [simplify]: iters left: 6 (46 enodes) 588.601 * * [simplify]: iters left: 5 (232 enodes) 588.653 * * [simplify]: Extracting #0: cost 1 inf + 0 588.653 * * [simplify]: Extracting #1: cost 3 inf + 0 588.653 * * [simplify]: Extracting #2: cost 6 inf + 0 588.653 * * [simplify]: Extracting #3: cost 10 inf + 0 588.653 * * [simplify]: Extracting #4: cost 24 inf + 0 588.653 * * [simplify]: Extracting #5: cost 146 inf + 0 588.654 * * [simplify]: Extracting #6: cost 269 inf + 1 588.655 * * [simplify]: Extracting #7: cost 268 inf + 2535 588.657 * * [simplify]: Extracting #8: cost 213 inf + 11591 588.663 * * [simplify]: Extracting #9: cost 118 inf + 41437 588.676 * * [simplify]: Extracting #10: cost 32 inf + 76521 588.694 * * [simplify]: Extracting #11: cost 4 inf + 96686 588.712 * * [simplify]: Extracting #12: cost 0 inf + 101586 588.729 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 588.730 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 588.730 * * * * [progress]: [ 2143 / 4754 ] simplifiying candidate # 588.730 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 588.731 * * [simplify]: iters left: 6 (48 enodes) 588.743 * * [simplify]: iters left: 5 (242 enodes) 588.797 * * [simplify]: Extracting #0: cost 1 inf + 0 588.797 * * [simplify]: Extracting #1: cost 3 inf + 0 588.797 * * [simplify]: Extracting #2: cost 6 inf + 0 588.797 * * [simplify]: Extracting #3: cost 10 inf + 0 588.797 * * [simplify]: Extracting #4: cost 24 inf + 0 588.797 * * [simplify]: Extracting #5: cost 148 inf + 0 588.798 * * [simplify]: Extracting #6: cost 280 inf + 44 588.799 * * [simplify]: Extracting #7: cost 273 inf + 3428 588.803 * * [simplify]: Extracting #8: cost 189 inf + 20370 588.809 * * [simplify]: Extracting #9: cost 129 inf + 36702 588.821 * * [simplify]: Extracting #10: cost 28 inf + 76660 588.839 * * [simplify]: Extracting #11: cost 2 inf + 91311 588.855 * * [simplify]: Extracting #12: cost 0 inf + 94681 588.872 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))))))) 588.872 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 588.873 * * * * [progress]: [ 2144 / 4754 ] simplifiying candidate # 588.873 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 588.873 * * [simplify]: iters left: 6 (47 enodes) 588.885 * * [simplify]: iters left: 5 (234 enodes) 588.941 * * [simplify]: Extracting #0: cost 1 inf + 0 588.941 * * [simplify]: Extracting #1: cost 3 inf + 0 588.941 * * [simplify]: Extracting #2: cost 6 inf + 0 588.941 * * [simplify]: Extracting #3: cost 10 inf + 0 588.941 * * [simplify]: Extracting #4: cost 24 inf + 0 588.942 * * [simplify]: Extracting #5: cost 147 inf + 0 588.942 * * [simplify]: Extracting #6: cost 270 inf + 1 588.943 * * [simplify]: Extracting #7: cost 269 inf + 2774 588.947 * * [simplify]: Extracting #8: cost 184 inf + 21386 588.958 * * [simplify]: Extracting #9: cost 56 inf + 74017 588.975 * * [simplify]: Extracting #10: cost 10 inf + 95609 588.995 * * [simplify]: Extracting #11: cost 0 inf + 102590 589.013 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 589.013 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.013 * * * * [progress]: [ 2145 / 4754 ] simplifiying candidate # 589.014 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 589.014 * * [simplify]: iters left: 6 (48 enodes) 589.026 * * [simplify]: iters left: 5 (242 enodes) 589.081 * * [simplify]: Extracting #0: cost 1 inf + 0 589.081 * * [simplify]: Extracting #1: cost 3 inf + 0 589.081 * * [simplify]: Extracting #2: cost 6 inf + 0 589.082 * * [simplify]: Extracting #3: cost 10 inf + 0 589.082 * * [simplify]: Extracting #4: cost 24 inf + 0 589.082 * * [simplify]: Extracting #5: cost 147 inf + 0 589.082 * * [simplify]: Extracting #6: cost 280 inf + 44 589.084 * * [simplify]: Extracting #7: cost 272 inf + 3712 589.087 * * [simplify]: Extracting #8: cost 186 inf + 21380 589.093 * * [simplify]: Extracting #9: cost 129 inf + 36981 589.105 * * [simplify]: Extracting #10: cost 28 inf + 76660 589.121 * * [simplify]: Extracting #11: cost 2 inf + 91551 589.141 * * [simplify]: Extracting #12: cost 0 inf + 94921 589.157 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (+ phi1 phi2)))))) 589.157 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.158 * * * * [progress]: [ 2146 / 4754 ] simplifiying candidate # 589.158 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 589.159 * * [simplify]: iters left: 6 (41 enodes) 589.169 * * [simplify]: iters left: 5 (202 enodes) 589.216 * * [simplify]: Extracting #0: cost 1 inf + 0 589.216 * * [simplify]: Extracting #1: cost 3 inf + 0 589.216 * * [simplify]: Extracting #2: cost 6 inf + 0 589.216 * * [simplify]: Extracting #3: cost 10 inf + 0 589.216 * * [simplify]: Extracting #4: cost 20 inf + 0 589.217 * * [simplify]: Extracting #5: cost 127 inf + 0 589.217 * * [simplify]: Extracting #6: cost 255 inf + 1 589.218 * * [simplify]: Extracting #7: cost 270 inf + 2568 589.222 * * [simplify]: Extracting #8: cost 178 inf + 20739 589.233 * * [simplify]: Extracting #9: cost 46 inf + 68813 589.249 * * [simplify]: Extracting #10: cost 10 inf + 85732 589.266 * * [simplify]: Extracting #11: cost 1 inf + 93302 589.284 * * [simplify]: Extracting #12: cost 0 inf + 94527 589.304 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 589.304 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.304 * * * * [progress]: [ 2147 / 4754 ] simplifiying candidate # 589.305 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 589.305 * * [simplify]: iters left: 6 (42 enodes) 589.315 * * [simplify]: iters left: 5 (210 enodes) 589.360 * * [simplify]: Extracting #0: cost 1 inf + 0 589.360 * * [simplify]: Extracting #1: cost 3 inf + 0 589.360 * * [simplify]: Extracting #2: cost 6 inf + 0 589.360 * * [simplify]: Extracting #3: cost 10 inf + 0 589.360 * * [simplify]: Extracting #4: cost 20 inf + 0 589.361 * * [simplify]: Extracting #5: cost 130 inf + 0 589.363 * * [simplify]: Extracting #6: cost 274 inf + 1 589.364 * * [simplify]: Extracting #7: cost 283 inf + 2531 589.367 * * [simplify]: Extracting #8: cost 201 inf + 14559 589.373 * * [simplify]: Extracting #9: cost 118 inf + 40129 589.387 * * [simplify]: Extracting #10: cost 16 inf + 85141 589.404 * * [simplify]: Extracting #11: cost 1 inf + 95677 589.421 * * [simplify]: Extracting #12: cost 0 inf + 96502 589.438 * * [simplify]: Extracting #13: cost 0 inf + 96422 589.457 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))))) 589.457 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.457 * * * * [progress]: [ 2148 / 4754 ] simplifiying candidate # 589.458 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 589.458 * * [simplify]: iters left: 6 (42 enodes) 589.469 * * [simplify]: iters left: 5 (210 enodes) 589.517 * * [simplify]: Extracting #0: cost 1 inf + 0 589.517 * * [simplify]: Extracting #1: cost 3 inf + 0 589.518 * * [simplify]: Extracting #2: cost 6 inf + 0 589.518 * * [simplify]: Extracting #3: cost 10 inf + 0 589.518 * * [simplify]: Extracting #4: cost 20 inf + 0 589.518 * * [simplify]: Extracting #5: cost 133 inf + 0 589.519 * * [simplify]: Extracting #6: cost 276 inf + 1 589.520 * * [simplify]: Extracting #7: cost 283 inf + 1842 589.522 * * [simplify]: Extracting #8: cost 196 inf + 15168 589.529 * * [simplify]: Extracting #9: cost 110 inf + 41912 589.542 * * [simplify]: Extracting #10: cost 14 inf + 83988 589.561 * * [simplify]: Extracting #11: cost 1 inf + 93833 589.578 * * [simplify]: Extracting #12: cost 0 inf + 94978 589.595 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))) 589.596 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda1 lambda2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.596 * * * * [progress]: [ 2149 / 4754 ] simplifiying candidate # 589.597 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 589.598 * * [simplify]: iters left: 6 (42 enodes) 589.608 * * [simplify]: iters left: 5 (208 enodes) 589.652 * * [simplify]: Extracting #0: cost 1 inf + 0 589.652 * * [simplify]: Extracting #1: cost 3 inf + 0 589.652 * * [simplify]: Extracting #2: cost 6 inf + 0 589.652 * * [simplify]: Extracting #3: cost 10 inf + 0 589.653 * * [simplify]: Extracting #4: cost 22 inf + 0 589.653 * * [simplify]: Extracting #5: cost 132 inf + 0 589.653 * * [simplify]: Extracting #6: cost 258 inf + 44 589.654 * * [simplify]: Extracting #7: cost 250 inf + 3266 589.657 * * [simplify]: Extracting #8: cost 183 inf + 13720 589.662 * * [simplify]: Extracting #9: cost 108 inf + 35372 589.676 * * [simplify]: Extracting #10: cost 21 inf + 70410 589.690 * * [simplify]: Extracting #11: cost 1 inf + 83457 589.706 * * [simplify]: Extracting #12: cost 0 inf + 84282 589.721 * * [simplify]: Extracting #13: cost 0 inf + 84202 589.737 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))))) 589.737 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (cbrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.738 * * * * [progress]: [ 2150 / 4754 ] simplifiying candidate # 589.738 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 589.738 * * [simplify]: iters left: 6 (39 enodes) 589.750 * * [simplify]: iters left: 5 (193 enodes) 589.791 * * [simplify]: Extracting #0: cost 1 inf + 0 589.791 * * [simplify]: Extracting #1: cost 3 inf + 0 589.791 * * [simplify]: Extracting #2: cost 6 inf + 0 589.791 * * [simplify]: Extracting #3: cost 10 inf + 0 589.791 * * [simplify]: Extracting #4: cost 24 inf + 0 589.791 * * [simplify]: Extracting #5: cost 131 inf + 0 589.792 * * [simplify]: Extracting #6: cost 234 inf + 1 589.793 * * [simplify]: Extracting #7: cost 234 inf + 2042 589.795 * * [simplify]: Extracting #8: cost 184 inf + 8361 589.799 * * [simplify]: Extracting #9: cost 103 inf + 32686 589.811 * * [simplify]: Extracting #10: cost 11 inf + 72644 589.828 * * [simplify]: Extracting #11: cost 3 inf + 77938 589.843 * * [simplify]: Extracting #12: cost 1 inf + 80108 589.859 * * [simplify]: Extracting #13: cost 0 inf + 81453 589.874 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) 589.874 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.875 * * * * [progress]: [ 2151 / 4754 ] simplifiying candidate # 589.875 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 589.875 * * [simplify]: iters left: 6 (41 enodes) 589.886 * * [simplify]: iters left: 5 (204 enodes) 589.931 * * [simplify]: Extracting #0: cost 1 inf + 0 589.931 * * [simplify]: Extracting #1: cost 3 inf + 0 589.931 * * [simplify]: Extracting #2: cost 6 inf + 0 589.931 * * [simplify]: Extracting #3: cost 10 inf + 0 589.932 * * [simplify]: Extracting #4: cost 24 inf + 0 589.932 * * [simplify]: Extracting #5: cost 139 inf + 0 589.932 * * [simplify]: Extracting #6: cost 253 inf + 44 589.933 * * [simplify]: Extracting #7: cost 246 inf + 2780 589.937 * * [simplify]: Extracting #8: cost 135 inf + 25958 589.948 * * [simplify]: Extracting #9: cost 25 inf + 64872 589.962 * * [simplify]: Extracting #10: cost 2 inf + 77386 589.979 * * [simplify]: Extracting #11: cost 0 inf + 78623 589.994 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 589.994 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 589.995 * * * * [progress]: [ 2152 / 4754 ] simplifiying candidate # 589.995 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 589.996 * * [simplify]: iters left: 6 (40 enodes) 590.006 * * [simplify]: iters left: 5 (196 enodes) 590.048 * * [simplify]: Extracting #0: cost 1 inf + 0 590.048 * * [simplify]: Extracting #1: cost 3 inf + 0 590.048 * * [simplify]: Extracting #2: cost 6 inf + 0 590.048 * * [simplify]: Extracting #3: cost 10 inf + 0 590.049 * * [simplify]: Extracting #4: cost 24 inf + 0 590.051 * * [simplify]: Extracting #5: cost 132 inf + 0 590.051 * * [simplify]: Extracting #6: cost 235 inf + 1 590.052 * * [simplify]: Extracting #7: cost 236 inf + 2044 590.055 * * [simplify]: Extracting #8: cost 155 inf + 18033 590.066 * * [simplify]: Extracting #9: cost 21 inf + 70443 590.080 * * [simplify]: Extracting #10: cost 3 inf + 79595 590.096 * * [simplify]: Extracting #11: cost 0 inf + 82257 590.112 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 590.112 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 590.112 * * * * [progress]: [ 2153 / 4754 ] simplifiying candidate # 590.112 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 590.113 * * [simplify]: iters left: 6 (41 enodes) 590.125 * * [simplify]: iters left: 5 (204 enodes) 590.174 * * [simplify]: Extracting #0: cost 1 inf + 0 590.174 * * [simplify]: Extracting #1: cost 3 inf + 0 590.174 * * [simplify]: Extracting #2: cost 6 inf + 0 590.174 * * [simplify]: Extracting #3: cost 10 inf + 0 590.174 * * [simplify]: Extracting #4: cost 24 inf + 0 590.174 * * [simplify]: Extracting #5: cost 138 inf + 0 590.175 * * [simplify]: Extracting #6: cost 253 inf + 44 590.176 * * [simplify]: Extracting #7: cost 246 inf + 2781 590.180 * * [simplify]: Extracting #8: cost 130 inf + 27274 590.190 * * [simplify]: Extracting #9: cost 28 inf + 63464 590.204 * * [simplify]: Extracting #10: cost 3 inf + 76961 590.220 * * [simplify]: Extracting #11: cost 0 inf + 79103 590.235 * * [simplify]: Extracting #12: cost 0 inf + 79023 590.250 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 590.250 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 590.250 * * * * [progress]: [ 2154 / 4754 ] simplifiying candidate # 590.250 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))))) 590.251 * * [simplify]: iters left: 6 (40 enodes) 590.261 * * [simplify]: iters left: 5 (200 enodes) 590.306 * * [simplify]: Extracting #0: cost 1 inf + 0 590.306 * * [simplify]: Extracting #1: cost 3 inf + 0 590.306 * * [simplify]: Extracting #2: cost 6 inf + 0 590.306 * * [simplify]: Extracting #3: cost 10 inf + 0 590.307 * * [simplify]: Extracting #4: cost 20 inf + 0 590.307 * * [simplify]: Extracting #5: cost 121 inf + 0 590.307 * * [simplify]: Extracting #6: cost 245 inf + 3 590.308 * * [simplify]: Extracting #7: cost 243 inf + 1802 590.310 * * [simplify]: Extracting #8: cost 178 inf + 11359 590.315 * * [simplify]: Extracting #9: cost 99 inf + 33493 590.325 * * [simplify]: Extracting #10: cost 17 inf + 65158 590.338 * * [simplify]: Extracting #11: cost 1 inf + 75489 590.352 * * [simplify]: Extracting #12: cost 0 inf + 76681 590.368 * * [simplify]: Extracting #13: cost 0 inf + 76590 590.382 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 590.382 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 590.382 * * * * [progress]: [ 2155 / 4754 ] simplifiying candidate # 590.383 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (cbrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 590.383 * * [simplify]: iters left: 6 (40 enodes) 590.393 * * [simplify]: iters left: 5 (198 enodes) 590.437 * * [simplify]: Extracting #0: cost 1 inf + 0 590.437 * * [simplify]: Extracting #1: cost 3 inf + 0 590.437 * * [simplify]: Extracting #2: cost 6 inf + 0 590.437 * * [simplify]: Extracting #3: cost 10 inf + 0 590.437 * * [simplify]: Extracting #4: cost 23 inf + 0 590.437 * * [simplify]: Extracting #5: cost 128 inf + 0 590.438 * * [simplify]: Extracting #6: cost 246 inf + 1 590.439 * * [simplify]: Extracting #7: cost 232 inf + 3841 590.442 * * [simplify]: Extracting #8: cost 146 inf + 20618 590.452 * * [simplify]: Extracting #9: cost 27 inf + 59493 590.466 * * [simplify]: Extracting #10: cost 3 inf + 71946 590.479 * * [simplify]: Extracting #11: cost 0 inf + 73795 590.493 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) 590.493 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (- (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (cbrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 590.494 * * * * [progress]: [ 2156 / 4754 ] simplifiying candidate # 590.494 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 590.494 * * [simplify]: iters left: 6 (48 enodes) 590.507 * * [simplify]: iters left: 5 (254 enodes) 590.566 * * [simplify]: Extracting #0: cost 1 inf + 0 590.566 * * [simplify]: Extracting #1: cost 3 inf + 0 590.566 * * [simplify]: Extracting #2: cost 6 inf + 0 590.566 * * [simplify]: Extracting #3: cost 10 inf + 0 590.567 * * [simplify]: Extracting #4: cost 20 inf + 0 590.567 * * [simplify]: Extracting #5: cost 130 inf + 0 590.567 * * [simplify]: Extracting #6: cost 297 inf + 44 590.569 * * [simplify]: Extracting #7: cost 324 inf + 4405 590.574 * * [simplify]: Extracting #8: cost 195 inf + 32835 590.593 * * [simplify]: Extracting #9: cost 41 inf + 92996 590.613 * * [simplify]: Extracting #10: cost 5 inf + 110994 590.633 * * [simplify]: Extracting #11: cost 0 inf + 114240 590.653 * * [simplify]: Extracting #12: cost 0 inf + 114160 590.674 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 590.674 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 590.675 * * * * [progress]: [ 2157 / 4754 ] simplifiying candidate # 590.675 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 590.676 * * [simplify]: iters left: 6 (48 enodes) 590.688 * * [simplify]: iters left: 5 (252 enodes) 590.748 * * [simplify]: Extracting #0: cost 1 inf + 0 590.748 * * [simplify]: Extracting #1: cost 3 inf + 0 590.748 * * [simplify]: Extracting #2: cost 6 inf + 0 590.749 * * [simplify]: Extracting #3: cost 10 inf + 0 590.749 * * [simplify]: Extracting #4: cost 20 inf + 0 590.749 * * [simplify]: Extracting #5: cost 125 inf + 0 590.749 * * [simplify]: Extracting #6: cost 291 inf + 44 590.751 * * [simplify]: Extracting #7: cost 321 inf + 3674 590.755 * * [simplify]: Extracting #8: cost 211 inf + 22499 590.767 * * [simplify]: Extracting #9: cost 101 inf + 63304 590.785 * * [simplify]: Extracting #10: cost 4 inf + 105151 590.804 * * [simplify]: Extracting #11: cost 0 inf + 108945 590.825 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 590.825 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 590.826 * * * * [progress]: [ 2158 / 4754 ] simplifiying candidate # 590.826 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 590.827 * * [simplify]: iters left: 6 (48 enodes) 590.839 * * [simplify]: iters left: 5 (252 enodes) 590.898 * * [simplify]: Extracting #0: cost 1 inf + 0 590.898 * * [simplify]: Extracting #1: cost 3 inf + 0 590.898 * * [simplify]: Extracting #2: cost 6 inf + 0 590.898 * * [simplify]: Extracting #3: cost 10 inf + 0 590.898 * * [simplify]: Extracting #4: cost 20 inf + 0 590.899 * * [simplify]: Extracting #5: cost 128 inf + 0 590.899 * * [simplify]: Extracting #6: cost 289 inf + 44 590.901 * * [simplify]: Extracting #7: cost 308 inf + 4569 590.905 * * [simplify]: Extracting #8: cost 203 inf + 23823 590.913 * * [simplify]: Extracting #9: cost 116 inf + 49437 590.928 * * [simplify]: Extracting #10: cost 18 inf + 92090 590.946 * * [simplify]: Extracting #11: cost 2 inf + 102997 590.966 * * [simplify]: Extracting #12: cost 0 inf + 106087 590.987 * * [simplify]: Extracting #13: cost 0 inf + 106007 591.006 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 591.006 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.007 * * * * [progress]: [ 2159 / 4754 ] simplifiying candidate # 591.007 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 591.007 * * [simplify]: iters left: 6 (42 enodes) 591.018 * * [simplify]: iters left: 5 (220 enodes) 591.070 * * [simplify]: Extracting #0: cost 1 inf + 0 591.070 * * [simplify]: Extracting #1: cost 3 inf + 0 591.070 * * [simplify]: Extracting #2: cost 6 inf + 0 591.070 * * [simplify]: Extracting #3: cost 10 inf + 0 591.070 * * [simplify]: Extracting #4: cost 20 inf + 0 591.071 * * [simplify]: Extracting #5: cost 125 inf + 0 591.071 * * [simplify]: Extracting #6: cost 267 inf + 44 591.073 * * [simplify]: Extracting #7: cost 277 inf + 3872 591.078 * * [simplify]: Extracting #8: cost 152 inf + 30340 591.090 * * [simplify]: Extracting #9: cost 48 inf + 68715 591.107 * * [simplify]: Extracting #10: cost 2 inf + 90525 591.126 * * [simplify]: Extracting #11: cost 0 inf + 90349 591.143 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))))) 591.143 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.144 * * * * [progress]: [ 2160 / 4754 ] simplifiying candidate # 591.144 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 591.144 * * [simplify]: iters left: 6 (47 enodes) 591.156 * * [simplify]: iters left: 5 (246 enodes) 591.213 * * [simplify]: Extracting #0: cost 1 inf + 0 591.213 * * [simplify]: Extracting #1: cost 3 inf + 0 591.213 * * [simplify]: Extracting #2: cost 6 inf + 0 591.213 * * [simplify]: Extracting #3: cost 10 inf + 0 591.213 * * [simplify]: Extracting #4: cost 24 inf + 0 591.214 * * [simplify]: Extracting #5: cost 146 inf + 0 591.214 * * [simplify]: Extracting #6: cost 285 inf + 44 591.215 * * [simplify]: Extracting #7: cost 300 inf + 3346 591.220 * * [simplify]: Extracting #8: cost 169 inf + 30302 591.232 * * [simplify]: Extracting #9: cost 55 inf + 73713 591.249 * * [simplify]: Extracting #10: cost 6 inf + 96375 591.267 * * [simplify]: Extracting #11: cost 1 inf + 100301 591.288 * * [simplify]: Extracting #12: cost 0 inf + 101926 591.306 * * [simplify]: Extracting #13: cost 0 inf + 101886 591.324 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 591.324 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.324 * * * * [progress]: [ 2161 / 4754 ] simplifiying candidate # 591.325 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 591.325 * * [simplify]: iters left: 6 (40 enodes) 591.335 * * [simplify]: iters left: 5 (208 enodes) 591.384 * * [simplify]: Extracting #0: cost 1 inf + 0 591.384 * * [simplify]: Extracting #1: cost 3 inf + 0 591.384 * * [simplify]: Extracting #2: cost 6 inf + 0 591.384 * * [simplify]: Extracting #3: cost 10 inf + 0 591.384 * * [simplify]: Extracting #4: cost 24 inf + 0 591.384 * * [simplify]: Extracting #5: cost 128 inf + 0 591.385 * * [simplify]: Extracting #6: cost 243 inf + 44 591.386 * * [simplify]: Extracting #7: cost 242 inf + 4693 591.390 * * [simplify]: Extracting #8: cost 152 inf + 22636 591.397 * * [simplify]: Extracting #9: cost 89 inf + 41791 591.408 * * [simplify]: Extracting #10: cost 23 inf + 68123 591.424 * * [simplify]: Extracting #11: cost 1 inf + 80967 591.442 * * [simplify]: Extracting #12: cost 0 inf + 82152 591.458 * * [simplify]: Extracting #13: cost 0 inf + 82112 591.474 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 591.474 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.474 * * * * [progress]: [ 2162 / 4754 ] simplifiying candidate # 591.475 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 591.475 * * [simplify]: iters left: 6 (47 enodes) 591.487 * * [simplify]: iters left: 5 (246 enodes) 591.544 * * [simplify]: Extracting #0: cost 1 inf + 0 591.544 * * [simplify]: Extracting #1: cost 3 inf + 0 591.544 * * [simplify]: Extracting #2: cost 6 inf + 0 591.544 * * [simplify]: Extracting #3: cost 10 inf + 0 591.544 * * [simplify]: Extracting #4: cost 24 inf + 0 591.545 * * [simplify]: Extracting #5: cost 146 inf + 0 591.545 * * [simplify]: Extracting #6: cost 285 inf + 44 591.547 * * [simplify]: Extracting #7: cost 299 inf + 3509 591.551 * * [simplify]: Extracting #8: cost 174 inf + 28705 591.563 * * [simplify]: Extracting #9: cost 59 inf + 72417 591.580 * * [simplify]: Extracting #10: cost 6 inf + 97015 591.601 * * [simplify]: Extracting #11: cost 1 inf + 100941 591.619 * * [simplify]: Extracting #12: cost 0 inf + 102566 591.637 * * [simplify]: Extracting #13: cost 0 inf + 102526 591.656 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 591.656 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.656 * * * * [progress]: [ 2163 / 4754 ] simplifiying candidate # 591.657 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 591.657 * * [simplify]: iters left: 6 (41 enodes) 591.670 * * [simplify]: iters left: 5 (210 enodes) 591.716 * * [simplify]: Extracting #0: cost 1 inf + 0 591.716 * * [simplify]: Extracting #1: cost 3 inf + 0 591.717 * * [simplify]: Extracting #2: cost 6 inf + 0 591.717 * * [simplify]: Extracting #3: cost 10 inf + 0 591.717 * * [simplify]: Extracting #4: cost 24 inf + 0 591.717 * * [simplify]: Extracting #5: cost 128 inf + 0 591.718 * * [simplify]: Extracting #6: cost 244 inf + 44 591.719 * * [simplify]: Extracting #7: cost 258 inf + 2819 591.723 * * [simplify]: Extracting #8: cost 120 inf + 32822 591.736 * * [simplify]: Extracting #9: cost 22 inf + 69722 591.753 * * [simplify]: Extracting #10: cost 3 inf + 80614 591.769 * * [simplify]: Extracting #11: cost 0 inf + 83236 591.785 * * [simplify]: Extracting #12: cost 0 inf + 83076 591.801 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 591.801 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.801 * * * * [progress]: [ 2164 / 4754 ] simplifiying candidate # 591.802 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 591.802 * * [simplify]: iters left: 6 (48 enodes) 591.814 * * [simplify]: iters left: 5 (249 enodes) 591.871 * * [simplify]: Extracting #0: cost 1 inf + 0 591.871 * * [simplify]: Extracting #1: cost 3 inf + 0 591.871 * * [simplify]: Extracting #2: cost 6 inf + 0 591.871 * * [simplify]: Extracting #3: cost 10 inf + 0 591.872 * * [simplify]: Extracting #4: cost 20 inf + 0 591.872 * * [simplify]: Extracting #5: cost 124 inf + 0 591.872 * * [simplify]: Extracting #6: cost 280 inf + 44 591.874 * * [simplify]: Extracting #7: cost 298 inf + 5461 591.878 * * [simplify]: Extracting #8: cost 186 inf + 24681 591.885 * * [simplify]: Extracting #9: cost 135 inf + 40425 591.902 * * [simplify]: Extracting #10: cost 19 inf + 90743 591.921 * * [simplify]: Extracting #11: cost 1 inf + 105260 591.940 * * [simplify]: Extracting #12: cost 0 inf + 106925 591.959 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 591.959 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 591.960 * * * * [progress]: [ 2165 / 4754 ] simplifiying candidate # 591.960 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 591.961 * * [simplify]: iters left: 6 (48 enodes) 591.975 * * [simplify]: iters left: 5 (251 enodes) 592.033 * * [simplify]: Extracting #0: cost 1 inf + 0 592.033 * * [simplify]: Extracting #1: cost 3 inf + 0 592.033 * * [simplify]: Extracting #2: cost 6 inf + 0 592.033 * * [simplify]: Extracting #3: cost 10 inf + 0 592.033 * * [simplify]: Extracting #4: cost 20 inf + 0 592.033 * * [simplify]: Extracting #5: cost 125 inf + 0 592.034 * * [simplify]: Extracting #6: cost 291 inf + 44 592.035 * * [simplify]: Extracting #7: cost 319 inf + 3392 592.041 * * [simplify]: Extracting #8: cost 202 inf + 23576 592.050 * * [simplify]: Extracting #9: cost 113 inf + 51107 592.065 * * [simplify]: Extracting #10: cost 22 inf + 93033 592.084 * * [simplify]: Extracting #11: cost 1 inf + 106799 592.103 * * [simplify]: Extracting #12: cost 0 inf + 108504 592.123 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 592.123 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 592.124 * * * * [progress]: [ 2166 / 4754 ] simplifiying candidate # 592.124 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 592.125 * * [simplify]: iters left: 6 (48 enodes) 592.137 * * [simplify]: iters left: 5 (251 enodes) 592.196 * * [simplify]: Extracting #0: cost 1 inf + 0 592.196 * * [simplify]: Extracting #1: cost 3 inf + 0 592.196 * * [simplify]: Extracting #2: cost 6 inf + 0 592.196 * * [simplify]: Extracting #3: cost 10 inf + 0 592.196 * * [simplify]: Extracting #4: cost 20 inf + 0 592.196 * * [simplify]: Extracting #5: cost 128 inf + 0 592.197 * * [simplify]: Extracting #6: cost 289 inf + 44 592.198 * * [simplify]: Extracting #7: cost 306 inf + 4083 592.202 * * [simplify]: Extracting #8: cost 193 inf + 22908 592.210 * * [simplify]: Extracting #9: cost 113 inf + 47946 592.225 * * [simplify]: Extracting #10: cost 20 inf + 88744 592.243 * * [simplify]: Extracting #11: cost 2 inf + 101954 592.261 * * [simplify]: Extracting #12: cost 0 inf + 105324 592.282 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 592.282 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 592.283 * * * * [progress]: [ 2167 / 4754 ] simplifiying candidate # 592.283 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 592.283 * * [simplify]: iters left: 6 (42 enodes) 592.294 * * [simplify]: iters left: 5 (215 enodes) 592.344 * * [simplify]: Extracting #0: cost 1 inf + 0 592.344 * * [simplify]: Extracting #1: cost 3 inf + 0 592.345 * * [simplify]: Extracting #2: cost 6 inf + 0 592.345 * * [simplify]: Extracting #3: cost 10 inf + 0 592.345 * * [simplify]: Extracting #4: cost 20 inf + 0 592.345 * * [simplify]: Extracting #5: cost 119 inf + 0 592.345 * * [simplify]: Extracting #6: cost 251 inf + 44 592.347 * * [simplify]: Extracting #7: cost 252 inf + 4363 592.352 * * [simplify]: Extracting #8: cost 116 inf + 33084 592.364 * * [simplify]: Extracting #9: cost 22 inf + 72215 592.378 * * [simplify]: Extracting #10: cost 4 inf + 81025 592.395 * * [simplify]: Extracting #11: cost 0 inf + 84259 592.410 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 592.410 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 592.411 * * * * [progress]: [ 2168 / 4754 ] simplifiying candidate # 592.411 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 592.412 * * [simplify]: iters left: 6 (47 enodes) 592.425 * * [simplify]: iters left: 5 (245 enodes) 592.479 * * [simplify]: Extracting #0: cost 1 inf + 0 592.479 * * [simplify]: Extracting #1: cost 3 inf + 0 592.479 * * [simplify]: Extracting #2: cost 6 inf + 0 592.479 * * [simplify]: Extracting #3: cost 10 inf + 0 592.479 * * [simplify]: Extracting #4: cost 24 inf + 0 592.479 * * [simplify]: Extracting #5: cost 144 inf + 0 592.480 * * [simplify]: Extracting #6: cost 284 inf + 44 592.481 * * [simplify]: Extracting #7: cost 288 inf + 4768 592.488 * * [simplify]: Extracting #8: cost 176 inf + 25169 592.495 * * [simplify]: Extracting #9: cost 120 inf + 42507 592.510 * * [simplify]: Extracting #10: cost 11 inf + 90922 592.527 * * [simplify]: Extracting #11: cost 2 inf + 97335 592.545 * * [simplify]: Extracting #12: cost 1 inf + 99000 592.563 * * [simplify]: Extracting #13: cost 0 inf + 100665 592.582 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 592.582 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 592.583 * * * * [progress]: [ 2169 / 4754 ] simplifiying candidate # 592.583 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 592.583 * * [simplify]: iters left: 6 (40 enodes) 592.594 * * [simplify]: iters left: 5 (205 enodes) 592.638 * * [simplify]: Extracting #0: cost 1 inf + 0 592.638 * * [simplify]: Extracting #1: cost 3 inf + 0 592.638 * * [simplify]: Extracting #2: cost 6 inf + 0 592.639 * * [simplify]: Extracting #3: cost 10 inf + 0 592.639 * * [simplify]: Extracting #4: cost 24 inf + 0 592.639 * * [simplify]: Extracting #5: cost 119 inf + 0 592.639 * * [simplify]: Extracting #6: cost 230 inf + 44 592.643 * * [simplify]: Extracting #7: cost 228 inf + 5016 592.646 * * [simplify]: Extracting #8: cost 148 inf + 16846 592.651 * * [simplify]: Extracting #9: cost 88 inf + 34846 592.663 * * [simplify]: Extracting #10: cost 11 inf + 67220 592.677 * * [simplify]: Extracting #11: cost 1 inf + 74868 592.691 * * [simplify]: Extracting #12: cost 0 inf + 76253 592.706 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 592.706 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 592.706 * * * * [progress]: [ 2170 / 4754 ] simplifiying candidate # 592.707 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 592.707 * * [simplify]: iters left: 6 (47 enodes) 592.719 * * [simplify]: iters left: 5 (245 enodes) 592.774 * * [simplify]: Extracting #0: cost 1 inf + 0 592.774 * * [simplify]: Extracting #1: cost 3 inf + 0 592.774 * * [simplify]: Extracting #2: cost 6 inf + 0 592.774 * * [simplify]: Extracting #3: cost 10 inf + 0 592.774 * * [simplify]: Extracting #4: cost 24 inf + 0 592.775 * * [simplify]: Extracting #5: cost 144 inf + 0 592.775 * * [simplify]: Extracting #6: cost 284 inf + 44 592.777 * * [simplify]: Extracting #7: cost 288 inf + 4606 592.780 * * [simplify]: Extracting #8: cost 191 inf + 20325 592.790 * * [simplify]: Extracting #9: cost 129 inf + 39485 592.804 * * [simplify]: Extracting #10: cost 11 inf + 91471 592.822 * * [simplify]: Extracting #11: cost 2 inf + 98135 592.840 * * [simplify]: Extracting #12: cost 1 inf + 99800 592.858 * * [simplify]: Extracting #13: cost 0 inf + 101465 592.877 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) 592.877 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 592.878 * * * * [progress]: [ 2171 / 4754 ] simplifiying candidate # 592.878 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 592.878 * * [simplify]: iters left: 6 (41 enodes) 592.889 * * [simplify]: iters left: 5 (208 enodes) 592.935 * * [simplify]: Extracting #0: cost 1 inf + 0 592.935 * * [simplify]: Extracting #1: cost 3 inf + 0 592.935 * * [simplify]: Extracting #2: cost 6 inf + 0 592.935 * * [simplify]: Extracting #3: cost 10 inf + 0 592.935 * * [simplify]: Extracting #4: cost 24 inf + 0 592.935 * * [simplify]: Extracting #5: cost 119 inf + 0 592.936 * * [simplify]: Extracting #6: cost 231 inf + 44 592.937 * * [simplify]: Extracting #7: cost 232 inf + 4163 592.940 * * [simplify]: Extracting #8: cost 147 inf + 17009 592.948 * * [simplify]: Extracting #9: cost 89 inf + 34670 592.958 * * [simplify]: Extracting #10: cost 24 inf + 60017 592.971 * * [simplify]: Extracting #11: cost 2 inf + 74087 592.987 * * [simplify]: Extracting #12: cost 0 inf + 76817 593.001 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 593.001 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.002 * * * * [progress]: [ 2172 / 4754 ] simplifiying candidate # 593.002 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 593.003 * * [simplify]: iters left: 6 (48 enodes) 593.015 * * [simplify]: iters left: 5 (250 enodes) 593.072 * * [simplify]: Extracting #0: cost 1 inf + 0 593.072 * * [simplify]: Extracting #1: cost 3 inf + 0 593.073 * * [simplify]: Extracting #2: cost 6 inf + 0 593.073 * * [simplify]: Extracting #3: cost 10 inf + 0 593.073 * * [simplify]: Extracting #4: cost 20 inf + 0 593.073 * * [simplify]: Extracting #5: cost 124 inf + 0 593.073 * * [simplify]: Extracting #6: cost 275 inf + 2 593.075 * * [simplify]: Extracting #7: cost 285 inf + 6350 593.079 * * [simplify]: Extracting #8: cost 188 inf + 23230 593.087 * * [simplify]: Extracting #9: cost 123 inf + 43919 593.104 * * [simplify]: Extracting #10: cost 19 inf + 89864 593.122 * * [simplify]: Extracting #11: cost 1 inf + 104608 593.142 * * [simplify]: Extracting #12: cost 0 inf + 106313 593.161 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 593.161 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.162 * * * * [progress]: [ 2173 / 4754 ] simplifiying candidate # 593.162 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 593.162 * * [simplify]: iters left: 6 (48 enodes) 593.176 * * [simplify]: iters left: 5 (252 enodes) 593.236 * * [simplify]: Extracting #0: cost 1 inf + 0 593.236 * * [simplify]: Extracting #1: cost 3 inf + 0 593.236 * * [simplify]: Extracting #2: cost 6 inf + 0 593.236 * * [simplify]: Extracting #3: cost 10 inf + 0 593.236 * * [simplify]: Extracting #4: cost 20 inf + 0 593.236 * * [simplify]: Extracting #5: cost 125 inf + 0 593.237 * * [simplify]: Extracting #6: cost 287 inf + 44 593.239 * * [simplify]: Extracting #7: cost 302 inf + 4847 593.245 * * [simplify]: Extracting #8: cost 189 inf + 26056 593.253 * * [simplify]: Extracting #9: cost 129 inf + 43498 593.268 * * [simplify]: Extracting #10: cost 27 inf + 91225 593.287 * * [simplify]: Extracting #11: cost 0 inf + 108641 593.306 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 593.306 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.307 * * * * [progress]: [ 2174 / 4754 ] simplifiying candidate # 593.307 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 593.307 * * [simplify]: iters left: 6 (48 enodes) 593.319 * * [simplify]: iters left: 5 (252 enodes) 593.377 * * [simplify]: Extracting #0: cost 1 inf + 0 593.377 * * [simplify]: Extracting #1: cost 3 inf + 0 593.377 * * [simplify]: Extracting #2: cost 6 inf + 0 593.377 * * [simplify]: Extracting #3: cost 10 inf + 0 593.377 * * [simplify]: Extracting #4: cost 20 inf + 0 593.377 * * [simplify]: Extracting #5: cost 128 inf + 0 593.378 * * [simplify]: Extracting #6: cost 285 inf + 2 593.380 * * [simplify]: Extracting #7: cost 285 inf + 6794 593.384 * * [simplify]: Extracting #8: cost 180 inf + 24967 593.394 * * [simplify]: Extracting #9: cost 116 inf + 46937 593.409 * * [simplify]: Extracting #10: cost 27 inf + 85933 593.427 * * [simplify]: Extracting #11: cost 0 inf + 105297 593.446 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 593.446 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))))))) (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.446 * * * * [progress]: [ 2175 / 4754 ] simplifiying candidate # 593.447 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 593.447 * * [simplify]: iters left: 6 (42 enodes) 593.458 * * [simplify]: iters left: 5 (216 enodes) 593.506 * * [simplify]: Extracting #0: cost 1 inf + 0 593.506 * * [simplify]: Extracting #1: cost 3 inf + 0 593.506 * * [simplify]: Extracting #2: cost 6 inf + 0 593.506 * * [simplify]: Extracting #3: cost 10 inf + 0 593.506 * * [simplify]: Extracting #4: cost 20 inf + 0 593.506 * * [simplify]: Extracting #5: cost 119 inf + 0 593.506 * * [simplify]: Extracting #6: cost 246 inf + 44 593.508 * * [simplify]: Extracting #7: cost 244 inf + 4121 593.511 * * [simplify]: Extracting #8: cost 151 inf + 20243 593.517 * * [simplify]: Extracting #9: cost 105 inf + 34886 593.530 * * [simplify]: Extracting #10: cost 22 inf + 71668 593.549 * * [simplify]: Extracting #11: cost 4 inf + 80547 593.564 * * [simplify]: Extracting #12: cost 0 inf + 84032 593.580 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 593.580 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.581 * * * * [progress]: [ 2176 / 4754 ] simplifiying candidate # 593.581 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 593.581 * * [simplify]: iters left: 6 (47 enodes) 593.594 * * [simplify]: iters left: 5 (246 enodes) 593.650 * * [simplify]: Extracting #0: cost 1 inf + 0 593.651 * * [simplify]: Extracting #1: cost 3 inf + 0 593.651 * * [simplify]: Extracting #2: cost 6 inf + 0 593.651 * * [simplify]: Extracting #3: cost 10 inf + 0 593.651 * * [simplify]: Extracting #4: cost 24 inf + 0 593.651 * * [simplify]: Extracting #5: cost 144 inf + 0 593.651 * * [simplify]: Extracting #6: cost 278 inf + 44 593.653 * * [simplify]: Extracting #7: cost 272 inf + 5181 593.656 * * [simplify]: Extracting #8: cost 182 inf + 21209 593.664 * * [simplify]: Extracting #9: cost 116 inf + 43255 593.678 * * [simplify]: Extracting #10: cost 25 inf + 83487 593.697 * * [simplify]: Extracting #11: cost 3 inf + 95138 593.715 * * [simplify]: Extracting #12: cost 0 inf + 100093 593.733 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 593.733 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.734 * * * * [progress]: [ 2177 / 4754 ] simplifiying candidate # 593.734 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 593.734 * * [simplify]: iters left: 6 (40 enodes) 593.744 * * [simplify]: iters left: 5 (208 enodes) 593.790 * * [simplify]: Extracting #0: cost 1 inf + 0 593.790 * * [simplify]: Extracting #1: cost 3 inf + 0 593.790 * * [simplify]: Extracting #2: cost 6 inf + 0 593.790 * * [simplify]: Extracting #3: cost 10 inf + 0 593.790 * * [simplify]: Extracting #4: cost 24 inf + 0 593.791 * * [simplify]: Extracting #5: cost 118 inf + 0 593.791 * * [simplify]: Extracting #6: cost 227 inf + 44 593.792 * * [simplify]: Extracting #7: cost 220 inf + 4769 593.797 * * [simplify]: Extracting #8: cost 113 inf + 26613 593.807 * * [simplify]: Extracting #9: cost 29 inf + 60012 593.822 * * [simplify]: Extracting #10: cost 9 inf + 74540 593.840 * * [simplify]: Extracting #11: cost 1 inf + 76567 593.855 * * [simplify]: Extracting #12: cost 0 inf + 76779 593.870 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) 593.870 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 593.871 * * * * [progress]: [ 2178 / 4754 ] simplifiying candidate # 593.871 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 593.871 * * [simplify]: iters left: 6 (47 enodes) 593.883 * * [simplify]: iters left: 5 (246 enodes) 593.941 * * [simplify]: Extracting #0: cost 1 inf + 0 593.941 * * [simplify]: Extracting #1: cost 3 inf + 0 593.941 * * [simplify]: Extracting #2: cost 6 inf + 0 593.941 * * [simplify]: Extracting #3: cost 10 inf + 0 593.941 * * [simplify]: Extracting #4: cost 24 inf + 0 593.941 * * [simplify]: Extracting #5: cost 144 inf + 0 593.942 * * [simplify]: Extracting #6: cost 279 inf + 44 593.943 * * [simplify]: Extracting #7: cost 276 inf + 4935 593.948 * * [simplify]: Extracting #8: cost 154 inf + 30805 593.961 * * [simplify]: Extracting #9: cost 39 inf + 81626 593.979 * * [simplify]: Extracting #10: cost 6 inf + 99454 594.001 * * [simplify]: Extracting #11: cost 0 inf + 101017 594.024 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 594.024 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.024 * * * * [progress]: [ 2179 / 4754 ] simplifiying candidate # 594.025 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 594.025 * * [simplify]: iters left: 6 (41 enodes) 594.036 * * [simplify]: iters left: 5 (210 enodes) 594.082 * * [simplify]: Extracting #0: cost 1 inf + 0 594.083 * * [simplify]: Extracting #1: cost 3 inf + 0 594.083 * * [simplify]: Extracting #2: cost 6 inf + 0 594.083 * * [simplify]: Extracting #3: cost 10 inf + 0 594.083 * * [simplify]: Extracting #4: cost 24 inf + 0 594.083 * * [simplify]: Extracting #5: cost 119 inf + 0 594.083 * * [simplify]: Extracting #6: cost 229 inf + 44 594.085 * * [simplify]: Extracting #7: cost 217 inf + 5097 594.089 * * [simplify]: Extracting #8: cost 107 inf + 30287 594.099 * * [simplify]: Extracting #9: cost 39 inf + 54290 594.112 * * [simplify]: Extracting #10: cost 13 inf + 67820 594.126 * * [simplify]: Extracting #11: cost 2 inf + 74777 594.141 * * [simplify]: Extracting #12: cost 0 inf + 77507 594.158 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 594.158 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.159 * * * * [progress]: [ 2180 / 4754 ] simplifiying candidate # 594.159 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 594.159 * * [simplify]: iters left: 6 (39 enodes) 594.169 * * [simplify]: iters left: 5 (198 enodes) 594.212 * * [simplify]: Extracting #0: cost 1 inf + 0 594.212 * * [simplify]: Extracting #1: cost 3 inf + 0 594.212 * * [simplify]: Extracting #2: cost 6 inf + 0 594.212 * * [simplify]: Extracting #3: cost 10 inf + 0 594.212 * * [simplify]: Extracting #4: cost 20 inf + 0 594.213 * * [simplify]: Extracting #5: cost 122 inf + 0 594.213 * * [simplify]: Extracting #6: cost 253 inf + 44 594.214 * * [simplify]: Extracting #7: cost 260 inf + 3676 594.222 * * [simplify]: Extracting #8: cost 115 inf + 38232 594.236 * * [simplify]: Extracting #9: cost 16 inf + 77864 594.251 * * [simplify]: Extracting #10: cost 4 inf + 83210 594.267 * * [simplify]: Extracting #11: cost 0 inf + 87897 594.283 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ phi1 phi2)))))) 594.283 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.284 * * * * [progress]: [ 2181 / 4754 ] simplifiying candidate # 594.284 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 594.284 * * [simplify]: iters left: 6 (39 enodes) 594.294 * * [simplify]: iters left: 5 (196 enodes) 594.340 * * [simplify]: Extracting #0: cost 1 inf + 0 594.340 * * [simplify]: Extracting #1: cost 3 inf + 0 594.340 * * [simplify]: Extracting #2: cost 6 inf + 0 594.340 * * [simplify]: Extracting #3: cost 10 inf + 0 594.340 * * [simplify]: Extracting #4: cost 20 inf + 0 594.340 * * [simplify]: Extracting #5: cost 113 inf + 0 594.341 * * [simplify]: Extracting #6: cost 241 inf + 44 594.342 * * [simplify]: Extracting #7: cost 246 inf + 3958 594.345 * * [simplify]: Extracting #8: cost 144 inf + 21564 594.353 * * [simplify]: Extracting #9: cost 73 inf + 45537 594.365 * * [simplify]: Extracting #10: cost 9 inf + 73556 594.382 * * [simplify]: Extracting #11: cost 2 inf + 78265 594.396 * * [simplify]: Extracting #12: cost 1 inf + 79690 594.412 * * [simplify]: Extracting #13: cost 0 inf + 81115 594.427 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 594.427 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.427 * * * * [progress]: [ 2182 / 4754 ] simplifiying candidate # 594.427 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 594.428 * * [simplify]: iters left: 6 (39 enodes) 594.438 * * [simplify]: iters left: 5 (195 enodes) 594.481 * * [simplify]: Extracting #0: cost 1 inf + 0 594.482 * * [simplify]: Extracting #1: cost 3 inf + 0 594.482 * * [simplify]: Extracting #2: cost 6 inf + 0 594.482 * * [simplify]: Extracting #3: cost 10 inf + 0 594.482 * * [simplify]: Extracting #4: cost 20 inf + 0 594.482 * * [simplify]: Extracting #5: cost 117 inf + 0 594.482 * * [simplify]: Extracting #6: cost 234 inf + 44 594.483 * * [simplify]: Extracting #7: cost 237 inf + 2826 594.488 * * [simplify]: Extracting #8: cost 104 inf + 32135 594.499 * * [simplify]: Extracting #9: cost 16 inf + 66678 594.513 * * [simplify]: Extracting #10: cost 4 inf + 71885 594.529 * * [simplify]: Extracting #11: cost 1 inf + 74907 594.543 * * [simplify]: Extracting #12: cost 0 inf + 76332 594.557 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 594.557 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (+ lambda1 lambda2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.558 * * * * [progress]: [ 2183 / 4754 ] simplifiying candidate # 594.558 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 594.558 * * [simplify]: iters left: 6 (32 enodes) 594.566 * * [simplify]: iters left: 5 (157 enodes) 594.599 * * [simplify]: Extracting #0: cost 1 inf + 0 594.599 * * [simplify]: Extracting #1: cost 3 inf + 0 594.599 * * [simplify]: Extracting #2: cost 6 inf + 0 594.599 * * [simplify]: Extracting #3: cost 10 inf + 0 594.599 * * [simplify]: Extracting #4: cost 20 inf + 0 594.599 * * [simplify]: Extracting #5: cost 112 inf + 0 594.602 * * [simplify]: Extracting #6: cost 204 inf + 126 594.603 * * [simplify]: Extracting #7: cost 185 inf + 4200 594.607 * * [simplify]: Extracting #8: cost 77 inf + 27396 594.617 * * [simplify]: Extracting #9: cost 12 inf + 50059 594.628 * * [simplify]: Extracting #10: cost 2 inf + 55587 594.639 * * [simplify]: Extracting #11: cost 0 inf + 57637 594.652 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 594.652 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ phi1 phi2) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.652 * * * * [progress]: [ 2184 / 4754 ] simplifiying candidate # 594.653 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 594.653 * * [simplify]: iters left: 6 (38 enodes) 594.662 * * [simplify]: iters left: 5 (189 enodes) 594.704 * * [simplify]: Extracting #0: cost 1 inf + 0 594.704 * * [simplify]: Extracting #1: cost 3 inf + 0 594.704 * * [simplify]: Extracting #2: cost 6 inf + 0 594.704 * * [simplify]: Extracting #3: cost 10 inf + 0 594.704 * * [simplify]: Extracting #4: cost 24 inf + 0 594.704 * * [simplify]: Extracting #5: cost 133 inf + 0 594.705 * * [simplify]: Extracting #6: cost 230 inf + 44 594.706 * * [simplify]: Extracting #7: cost 215 inf + 3954 594.710 * * [simplify]: Extracting #8: cost 101 inf + 30682 594.721 * * [simplify]: Extracting #9: cost 19 inf + 62712 594.734 * * [simplify]: Extracting #10: cost 4 inf + 69865 594.748 * * [simplify]: Extracting #11: cost 0 inf + 73019 594.764 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 594.764 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 594.764 * * * * [progress]: [ 2185 / 4754 ] simplifiying candidate # 594.765 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 594.765 * * [simplify]: iters left: 6 (26 enodes) 594.771 * * [simplify]: iters left: 5 (120 enodes) 594.794 * * [simplify]: iters left: 4 (351 enodes) 594.935 * * [simplify]: Extracting #0: cost 1 inf + 0 594.935 * * [simplify]: Extracting #1: cost 4 inf + 0 594.935 * * [simplify]: Extracting #2: cost 7 inf + 0 594.935 * * [simplify]: Extracting #3: cost 18 inf + 0 594.936 * * [simplify]: Extracting #4: cost 222 inf + 0 594.937 * * [simplify]: Extracting #5: cost 529 inf + 494 594.946 * * [simplify]: Extracting #6: cost 499 inf + 19401 594.965 * * [simplify]: Extracting #7: cost 159 inf + 102725 594.998 * * [simplify]: Extracting #8: cost 6 inf + 159773 595.034 * * [simplify]: Extracting #9: cost 0 inf + 162403 595.069 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 595.069 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 595.069 * * * * [progress]: [ 2186 / 4754 ] simplifiying candidate # 595.069 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 595.070 * * [simplify]: iters left: 6 (38 enodes) 595.080 * * [simplify]: iters left: 5 (190 enodes) 595.122 * * [simplify]: Extracting #0: cost 1 inf + 0 595.122 * * [simplify]: Extracting #1: cost 3 inf + 0 595.122 * * [simplify]: Extracting #2: cost 6 inf + 0 595.122 * * [simplify]: Extracting #3: cost 10 inf + 0 595.122 * * [simplify]: Extracting #4: cost 24 inf + 0 595.122 * * [simplify]: Extracting #5: cost 132 inf + 0 595.123 * * [simplify]: Extracting #6: cost 233 inf + 126 595.124 * * [simplify]: Extracting #7: cost 212 inf + 5053 595.128 * * [simplify]: Extracting #8: cost 127 inf + 23254 595.134 * * [simplify]: Extracting #9: cost 83 inf + 36129 595.145 * * [simplify]: Extracting #10: cost 8 inf + 66764 595.159 * * [simplify]: Extracting #11: cost 1 inf + 72846 595.173 * * [simplify]: Extracting #12: cost 0 inf + 74231 595.189 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 595.189 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 595.190 * * * * [progress]: [ 2187 / 4754 ] simplifiying candidate # 595.190 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 595.190 * * [simplify]: iters left: 6 (30 enodes) 595.197 * * [simplify]: iters left: 5 (137 enodes) 595.222 * * [simplify]: iters left: 4 (386 enodes) 595.377 * * [simplify]: Extracting #0: cost 1 inf + 0 595.377 * * [simplify]: Extracting #1: cost 4 inf + 0 595.377 * * [simplify]: Extracting #2: cost 7 inf + 0 595.378 * * [simplify]: Extracting #3: cost 21 inf + 0 595.378 * * [simplify]: Extracting #4: cost 216 inf + 0 595.379 * * [simplify]: Extracting #5: cost 545 inf + 371 595.384 * * [simplify]: Extracting #6: cost 500 inf + 18983 595.402 * * [simplify]: Extracting #7: cost 172 inf + 98178 595.439 * * [simplify]: Extracting #8: cost 9 inf + 159605 595.474 * * [simplify]: Extracting #9: cost 0 inf + 162790 595.510 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 595.510 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (fabs (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 595.510 * * * * [progress]: [ 2188 / 4754 ] simplifiying candidate # 595.511 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 595.511 * * [simplify]: iters left: 6 (49 enodes) 595.524 * * [simplify]: iters left: 5 (246 enodes) 595.578 * * [simplify]: Extracting #0: cost 1 inf + 0 595.578 * * [simplify]: Extracting #1: cost 3 inf + 0 595.578 * * [simplify]: Extracting #2: cost 6 inf + 0 595.578 * * [simplify]: Extracting #3: cost 10 inf + 0 595.578 * * [simplify]: Extracting #4: cost 20 inf + 0 595.578 * * [simplify]: Extracting #5: cost 126 inf + 0 595.579 * * [simplify]: Extracting #6: cost 270 inf + 44 595.580 * * [simplify]: Extracting #7: cost 277 inf + 4448 595.587 * * [simplify]: Extracting #8: cost 170 inf + 26590 595.599 * * [simplify]: Extracting #9: cost 60 inf + 69744 595.616 * * [simplify]: Extracting #10: cost 8 inf + 98237 595.635 * * [simplify]: Extracting #11: cost 0 inf + 102530 595.653 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 595.653 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 595.653 * * * * [progress]: [ 2189 / 4754 ] simplifiying candidate # 595.654 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 595.654 * * [simplify]: iters left: 6 (49 enodes) 595.668 * * [simplify]: iters left: 5 (248 enodes) 595.722 * * [simplify]: Extracting #0: cost 1 inf + 0 595.722 * * [simplify]: Extracting #1: cost 3 inf + 0 595.722 * * [simplify]: Extracting #2: cost 6 inf + 0 595.722 * * [simplify]: Extracting #3: cost 10 inf + 0 595.722 * * [simplify]: Extracting #4: cost 20 inf + 0 595.722 * * [simplify]: Extracting #5: cost 127 inf + 0 595.723 * * [simplify]: Extracting #6: cost 282 inf + 44 595.724 * * [simplify]: Extracting #7: cost 290 inf + 3392 595.727 * * [simplify]: Extracting #8: cost 194 inf + 19590 595.736 * * [simplify]: Extracting #9: cost 136 inf + 38508 595.749 * * [simplify]: Extracting #10: cost 31 inf + 80667 595.766 * * [simplify]: Extracting #11: cost 3 inf + 99619 595.785 * * [simplify]: Extracting #12: cost 0 inf + 104334 595.803 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 595.804 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 595.804 * * * * [progress]: [ 2190 / 4754 ] simplifiying candidate # 595.804 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 595.805 * * [simplify]: iters left: 6 (49 enodes) 595.819 * * [simplify]: iters left: 5 (248 enodes) 595.874 * * [simplify]: Extracting #0: cost 1 inf + 0 595.874 * * [simplify]: Extracting #1: cost 3 inf + 0 595.874 * * [simplify]: Extracting #2: cost 6 inf + 0 595.874 * * [simplify]: Extracting #3: cost 10 inf + 0 595.874 * * [simplify]: Extracting #4: cost 20 inf + 0 595.874 * * [simplify]: Extracting #5: cost 130 inf + 0 595.875 * * [simplify]: Extracting #6: cost 281 inf + 44 595.876 * * [simplify]: Extracting #7: cost 283 inf + 3516 595.879 * * [simplify]: Extracting #8: cost 192 inf + 18867 595.889 * * [simplify]: Extracting #9: cost 124 inf + 41291 595.903 * * [simplify]: Extracting #10: cost 24 inf + 83950 595.921 * * [simplify]: Extracting #11: cost 2 inf + 98649 595.939 * * [simplify]: Extracting #12: cost 0 inf + 101619 595.957 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 595.957 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 595.958 * * * * [progress]: [ 2191 / 4754 ] simplifiying candidate # 595.958 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 595.958 * * [simplify]: iters left: 6 (43 enodes) 595.971 * * [simplify]: iters left: 5 (212 enodes) 596.015 * * [simplify]: Extracting #0: cost 1 inf + 0 596.015 * * [simplify]: Extracting #1: cost 3 inf + 0 596.015 * * [simplify]: Extracting #2: cost 6 inf + 0 596.015 * * [simplify]: Extracting #3: cost 10 inf + 0 596.015 * * [simplify]: Extracting #4: cost 20 inf + 0 596.015 * * [simplify]: Extracting #5: cost 121 inf + 0 596.016 * * [simplify]: Extracting #6: cost 244 inf + 44 596.017 * * [simplify]: Extracting #7: cost 229 inf + 4282 596.020 * * [simplify]: Extracting #8: cost 156 inf + 17005 596.026 * * [simplify]: Extracting #9: cost 106 inf + 32687 596.039 * * [simplify]: Extracting #10: cost 24 inf + 68117 596.053 * * [simplify]: Extracting #11: cost 2 inf + 79281 596.068 * * [simplify]: Extracting #12: cost 0 inf + 80958 596.082 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 596.082 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.083 * * * * [progress]: [ 2192 / 4754 ] simplifiying candidate # 596.083 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 596.084 * * [simplify]: iters left: 6 (48 enodes) 596.096 * * [simplify]: iters left: 5 (242 enodes) 596.149 * * [simplify]: Extracting #0: cost 1 inf + 0 596.149 * * [simplify]: Extracting #1: cost 3 inf + 0 596.149 * * [simplify]: Extracting #2: cost 6 inf + 0 596.150 * * [simplify]: Extracting #3: cost 10 inf + 0 596.150 * * [simplify]: Extracting #4: cost 24 inf + 0 596.150 * * [simplify]: Extracting #5: cost 146 inf + 0 596.150 * * [simplify]: Extracting #6: cost 274 inf + 44 596.152 * * [simplify]: Extracting #7: cost 257 inf + 4777 596.157 * * [simplify]: Extracting #8: cost 153 inf + 27883 596.168 * * [simplify]: Extracting #9: cost 46 inf + 72962 596.185 * * [simplify]: Extracting #10: cost 3 inf + 92248 596.204 * * [simplify]: Extracting #11: cost 0 inf + 95870 596.221 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 596.221 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.222 * * * * [progress]: [ 2193 / 4754 ] simplifiying candidate # 596.222 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 596.222 * * [simplify]: iters left: 6 (41 enodes) 596.234 * * [simplify]: iters left: 5 (204 enodes) 596.278 * * [simplify]: Extracting #0: cost 1 inf + 0 596.278 * * [simplify]: Extracting #1: cost 3 inf + 0 596.278 * * [simplify]: Extracting #2: cost 6 inf + 0 596.278 * * [simplify]: Extracting #3: cost 10 inf + 0 596.278 * * [simplify]: Extracting #4: cost 24 inf + 0 596.278 * * [simplify]: Extracting #5: cost 129 inf + 0 596.279 * * [simplify]: Extracting #6: cost 232 inf + 44 596.280 * * [simplify]: Extracting #7: cost 215 inf + 4245 596.283 * * [simplify]: Extracting #8: cost 137 inf + 19113 596.288 * * [simplify]: Extracting #9: cost 100 inf + 30771 596.299 * * [simplify]: Extracting #10: cost 24 inf + 60582 596.312 * * [simplify]: Extracting #11: cost 6 inf + 71487 596.326 * * [simplify]: Extracting #12: cost 0 inf + 74956 596.340 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 596.340 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.340 * * * * [progress]: [ 2194 / 4754 ] simplifiying candidate # 596.340 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 596.341 * * [simplify]: iters left: 6 (48 enodes) 596.355 * * [simplify]: iters left: 5 (242 enodes) 596.407 * * [simplify]: Extracting #0: cost 1 inf + 0 596.407 * * [simplify]: Extracting #1: cost 3 inf + 0 596.407 * * [simplify]: Extracting #2: cost 6 inf + 0 596.407 * * [simplify]: Extracting #3: cost 10 inf + 0 596.407 * * [simplify]: Extracting #4: cost 24 inf + 0 596.407 * * [simplify]: Extracting #5: cost 146 inf + 0 596.408 * * [simplify]: Extracting #6: cost 274 inf + 44 596.409 * * [simplify]: Extracting #7: cost 258 inf + 4735 596.417 * * [simplify]: Extracting #8: cost 152 inf + 28666 596.428 * * [simplify]: Extracting #9: cost 46 inf + 73522 596.444 * * [simplify]: Extracting #10: cost 3 inf + 92888 596.461 * * [simplify]: Extracting #11: cost 0 inf + 96510 596.478 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 596.478 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.479 * * * * [progress]: [ 2195 / 4754 ] simplifiying candidate # 596.479 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 596.479 * * [simplify]: iters left: 6 (42 enodes) 596.492 * * [simplify]: iters left: 5 (206 enodes) 596.534 * * [simplify]: Extracting #0: cost 1 inf + 0 596.534 * * [simplify]: Extracting #1: cost 3 inf + 0 596.534 * * [simplify]: Extracting #2: cost 6 inf + 0 596.534 * * [simplify]: Extracting #3: cost 10 inf + 0 596.534 * * [simplify]: Extracting #4: cost 24 inf + 0 596.534 * * [simplify]: Extracting #5: cost 129 inf + 0 596.535 * * [simplify]: Extracting #6: cost 233 inf + 44 596.536 * * [simplify]: Extracting #7: cost 209 inf + 5540 596.540 * * [simplify]: Extracting #8: cost 119 inf + 24880 596.550 * * [simplify]: Extracting #9: cost 37 inf + 54313 596.565 * * [simplify]: Extracting #10: cost 10 inf + 71483 596.579 * * [simplify]: Extracting #11: cost 2 inf + 75016 596.593 * * [simplify]: Extracting #12: cost 0 inf + 75440 596.607 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 596.607 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.607 * * * * [progress]: [ 2196 / 4754 ] simplifiying candidate # 596.608 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 596.608 * * [simplify]: iters left: 6 (42 enodes) 596.619 * * [simplify]: iters left: 5 (207 enodes) 596.664 * * [simplify]: Extracting #0: cost 1 inf + 0 596.664 * * [simplify]: Extracting #1: cost 3 inf + 0 596.664 * * [simplify]: Extracting #2: cost 6 inf + 0 596.665 * * [simplify]: Extracting #3: cost 10 inf + 0 596.665 * * [simplify]: Extracting #4: cost 20 inf + 0 596.665 * * [simplify]: Extracting #5: cost 119 inf + 0 596.665 * * [simplify]: Extracting #6: cost 251 inf + 44 596.666 * * [simplify]: Extracting #7: cost 251 inf + 4936 596.670 * * [simplify]: Extracting #8: cost 167 inf + 18292 596.676 * * [simplify]: Extracting #9: cost 105 inf + 36366 596.688 * * [simplify]: Extracting #10: cost 20 inf + 72052 596.703 * * [simplify]: Extracting #11: cost 1 inf + 84539 596.721 * * [simplify]: Extracting #12: cost 0 inf + 85564 596.737 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 596.737 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.737 * * * * [progress]: [ 2197 / 4754 ] simplifiying candidate # 596.738 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 596.738 * * [simplify]: iters left: 6 (42 enodes) 596.748 * * [simplify]: iters left: 5 (209 enodes) 596.795 * * [simplify]: Extracting #0: cost 1 inf + 0 596.796 * * [simplify]: Extracting #1: cost 3 inf + 0 596.796 * * [simplify]: Extracting #2: cost 6 inf + 0 596.796 * * [simplify]: Extracting #3: cost 10 inf + 0 596.796 * * [simplify]: Extracting #4: cost 20 inf + 0 596.796 * * [simplify]: Extracting #5: cost 120 inf + 0 596.796 * * [simplify]: Extracting #6: cost 261 inf + 44 596.798 * * [simplify]: Extracting #7: cost 259 inf + 4650 596.801 * * [simplify]: Extracting #8: cost 169 inf + 18232 596.807 * * [simplify]: Extracting #9: cost 105 inf + 37406 596.818 * * [simplify]: Extracting #10: cost 19 inf + 73414 596.835 * * [simplify]: Extracting #11: cost 2 inf + 83489 596.851 * * [simplify]: Extracting #12: cost 0 inf + 86379 596.867 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 596.867 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.868 * * * * [progress]: [ 2198 / 4754 ] simplifiying candidate # 596.868 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 596.868 * * [simplify]: iters left: 6 (42 enodes) 596.881 * * [simplify]: iters left: 5 (209 enodes) 596.925 * * [simplify]: Extracting #0: cost 1 inf + 0 596.925 * * [simplify]: Extracting #1: cost 3 inf + 0 596.925 * * [simplify]: Extracting #2: cost 6 inf + 0 596.925 * * [simplify]: Extracting #3: cost 10 inf + 0 596.925 * * [simplify]: Extracting #4: cost 20 inf + 0 596.925 * * [simplify]: Extracting #5: cost 123 inf + 0 596.926 * * [simplify]: Extracting #6: cost 259 inf + 44 596.927 * * [simplify]: Extracting #7: cost 250 inf + 5059 596.931 * * [simplify]: Extracting #8: cost 133 inf + 27477 596.944 * * [simplify]: Extracting #9: cost 34 inf + 63502 596.958 * * [simplify]: Extracting #10: cost 5 inf + 79660 596.973 * * [simplify]: Extracting #11: cost 0 inf + 83439 596.988 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) 596.988 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 596.989 * * * * [progress]: [ 2199 / 4754 ] simplifiying candidate # 596.989 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 596.989 * * [simplify]: iters left: 6 (35 enodes) 596.997 * * [simplify]: iters left: 5 (168 enodes) 597.033 * * [simplify]: Extracting #0: cost 1 inf + 0 597.033 * * [simplify]: Extracting #1: cost 3 inf + 0 597.033 * * [simplify]: Extracting #2: cost 6 inf + 0 597.034 * * [simplify]: Extracting #3: cost 10 inf + 0 597.034 * * [simplify]: Extracting #4: cost 20 inf + 0 597.034 * * [simplify]: Extracting #5: cost 114 inf + 0 597.034 * * [simplify]: Extracting #6: cost 222 inf + 44 597.035 * * [simplify]: Extracting #7: cost 204 inf + 3717 597.039 * * [simplify]: Extracting #8: cost 97 inf + 25576 597.048 * * [simplify]: Extracting #9: cost 15 inf + 54404 597.060 * * [simplify]: Extracting #10: cost 3 inf + 61060 597.072 * * [simplify]: Extracting #11: cost 1 inf + 62630 597.084 * * [simplify]: Extracting #12: cost 0 inf + 63855 597.098 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))))) 597.098 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 597.099 * * * * [progress]: [ 2200 / 4754 ] simplifiying candidate # 597.099 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 597.099 * * [simplify]: iters left: 6 (41 enodes) 597.110 * * [simplify]: iters left: 5 (203 enodes) 597.154 * * [simplify]: Extracting #0: cost 1 inf + 0 597.154 * * [simplify]: Extracting #1: cost 3 inf + 0 597.154 * * [simplify]: Extracting #2: cost 6 inf + 0 597.154 * * [simplify]: Extracting #3: cost 10 inf + 0 597.154 * * [simplify]: Extracting #4: cost 24 inf + 0 597.155 * * [simplify]: Extracting #5: cost 139 inf + 0 597.155 * * [simplify]: Extracting #6: cost 254 inf + 44 597.156 * * [simplify]: Extracting #7: cost 234 inf + 4656 597.161 * * [simplify]: Extracting #8: cost 117 inf + 29833 597.175 * * [simplify]: Extracting #9: cost 15 inf + 69401 597.189 * * [simplify]: Extracting #10: cost 0 inf + 78460 597.204 * * [simplify]: Extracting #11: cost 0 inf + 78300 597.218 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 597.218 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 597.218 * * * * [progress]: [ 2201 / 4754 ] simplifiying candidate # 597.219 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 597.219 * * [simplify]: iters left: 6 (33 enodes) 597.227 * * [simplify]: iters left: 5 (158 enodes) 597.260 * * [simplify]: iters left: 4 (498 enodes) 597.513 * * [simplify]: Extracting #0: cost 1 inf + 0 597.513 * * [simplify]: Extracting #1: cost 3 inf + 0 597.513 * * [simplify]: Extracting #2: cost 6 inf + 0 597.513 * * [simplify]: Extracting #3: cost 10 inf + 0 597.513 * * [simplify]: Extracting #4: cost 35 inf + 0 597.514 * * [simplify]: Extracting #5: cost 358 inf + 0 597.516 * * [simplify]: Extracting #6: cost 710 inf + 2165 597.525 * * [simplify]: Extracting #7: cost 602 inf + 40705 597.542 * * [simplify]: Extracting #8: cost 415 inf + 72513 597.571 * * [simplify]: Extracting #9: cost 288 inf + 114758 597.618 * * [simplify]: Extracting #10: cost 14 inf + 222841 597.671 * * [simplify]: Extracting #11: cost 0 inf + 229585 597.723 * * [simplify]: Extracting #12: cost 0 inf + 229425 597.776 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 597.776 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 597.776 * * * * [progress]: [ 2202 / 4754 ] simplifiying candidate # 597.777 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 597.777 * * [simplify]: iters left: 6 (41 enodes) 597.789 * * [simplify]: iters left: 5 (203 enodes) 597.832 * * [simplify]: Extracting #0: cost 1 inf + 0 597.832 * * [simplify]: Extracting #1: cost 3 inf + 0 597.832 * * [simplify]: Extracting #2: cost 6 inf + 0 597.832 * * [simplify]: Extracting #3: cost 10 inf + 0 597.832 * * [simplify]: Extracting #4: cost 24 inf + 0 597.832 * * [simplify]: Extracting #5: cost 139 inf + 0 597.833 * * [simplify]: Extracting #6: cost 254 inf + 44 597.834 * * [simplify]: Extracting #7: cost 241 inf + 3634 597.838 * * [simplify]: Extracting #8: cost 119 inf + 29584 597.850 * * [simplify]: Extracting #9: cost 16 inf + 70078 597.866 * * [simplify]: Extracting #10: cost 0 inf + 79100 597.881 * * [simplify]: Extracting #11: cost 0 inf + 78940 597.896 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 597.896 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 597.896 * * * * [progress]: [ 2203 / 4754 ] simplifiying candidate # 597.896 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 597.897 * * [simplify]: iters left: 6 (34 enodes) 597.905 * * [simplify]: iters left: 5 (161 enodes) 597.939 * * [simplify]: Extracting #0: cost 1 inf + 0 597.939 * * [simplify]: Extracting #1: cost 3 inf + 0 597.939 * * [simplify]: Extracting #2: cost 6 inf + 0 597.939 * * [simplify]: Extracting #3: cost 10 inf + 0 597.940 * * [simplify]: Extracting #4: cost 24 inf + 0 597.940 * * [simplify]: Extracting #5: cost 118 inf + 0 597.940 * * [simplify]: Extracting #6: cost 205 inf + 44 597.941 * * [simplify]: Extracting #7: cost 181 inf + 3917 597.944 * * [simplify]: Extracting #8: cost 90 inf + 21910 597.953 * * [simplify]: Extracting #9: cost 11 inf + 49148 597.964 * * [simplify]: Extracting #10: cost 2 inf + 54691 597.975 * * [simplify]: Extracting #11: cost 0 inf + 56461 597.986 * * [simplify]: Extracting #12: cost 0 inf + 56381 597.998 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 597.998 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 597.998 * * * * [progress]: [ 2204 / 4754 ] simplifiying candidate # 597.998 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 597.999 * * [simplify]: iters left: 6 (49 enodes) 598.011 * * [simplify]: iters left: 5 (246 enodes) 598.071 * * [simplify]: Extracting #0: cost 1 inf + 0 598.071 * * [simplify]: Extracting #1: cost 3 inf + 0 598.071 * * [simplify]: Extracting #2: cost 6 inf + 0 598.071 * * [simplify]: Extracting #3: cost 10 inf + 0 598.072 * * [simplify]: Extracting #4: cost 20 inf + 0 598.072 * * [simplify]: Extracting #5: cost 126 inf + 0 598.072 * * [simplify]: Extracting #6: cost 274 inf + 44 598.074 * * [simplify]: Extracting #7: cost 288 inf + 3556 598.077 * * [simplify]: Extracting #8: cost 198 inf + 18692 598.083 * * [simplify]: Extracting #9: cost 139 inf + 35135 598.097 * * [simplify]: Extracting #10: cost 40 inf + 74435 598.114 * * [simplify]: Extracting #11: cost 5 inf + 96605 598.132 * * [simplify]: Extracting #12: cost 0 inf + 101490 598.150 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 598.150 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 598.151 * * * * [progress]: [ 2205 / 4754 ] simplifiying candidate # 598.151 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 598.151 * * [simplify]: iters left: 6 (49 enodes) 598.164 * * [simplify]: iters left: 5 (248 enodes) 598.220 * * [simplify]: Extracting #0: cost 1 inf + 0 598.220 * * [simplify]: Extracting #1: cost 3 inf + 0 598.220 * * [simplify]: Extracting #2: cost 6 inf + 0 598.220 * * [simplify]: Extracting #3: cost 10 inf + 0 598.220 * * [simplify]: Extracting #4: cost 20 inf + 0 598.220 * * [simplify]: Extracting #5: cost 127 inf + 0 598.221 * * [simplify]: Extracting #6: cost 286 inf + 44 598.222 * * [simplify]: Extracting #7: cost 299 inf + 3310 598.225 * * [simplify]: Extracting #8: cost 207 inf + 17967 598.232 * * [simplify]: Extracting #9: cost 136 inf + 37960 598.247 * * [simplify]: Extracting #10: cost 34 inf + 79942 598.264 * * [simplify]: Extracting #11: cost 3 inf + 98659 598.282 * * [simplify]: Extracting #12: cost 0 inf + 103374 598.300 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 598.300 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 598.301 * * * * [progress]: [ 2206 / 4754 ] simplifiying candidate # 598.301 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 598.302 * * [simplify]: iters left: 6 (49 enodes) 598.314 * * [simplify]: iters left: 5 (248 enodes) 598.372 * * [simplify]: Extracting #0: cost 1 inf + 0 598.372 * * [simplify]: Extracting #1: cost 3 inf + 0 598.372 * * [simplify]: Extracting #2: cost 6 inf + 0 598.372 * * [simplify]: Extracting #3: cost 10 inf + 0 598.372 * * [simplify]: Extracting #4: cost 20 inf + 0 598.372 * * [simplify]: Extracting #5: cost 130 inf + 0 598.373 * * [simplify]: Extracting #6: cost 285 inf + 44 598.374 * * [simplify]: Extracting #7: cost 290 inf + 3190 598.378 * * [simplify]: Extracting #8: cost 193 inf + 19795 598.385 * * [simplify]: Extracting #9: cost 121 inf + 42639 598.401 * * [simplify]: Extracting #10: cost 30 inf + 79911 598.418 * * [simplify]: Extracting #11: cost 2 inf + 97849 598.436 * * [simplify]: Extracting #12: cost 0 inf + 100819 598.453 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 598.453 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 598.454 * * * * [progress]: [ 2207 / 4754 ] simplifiying candidate # 598.454 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 598.454 * * [simplify]: iters left: 6 (43 enodes) 598.465 * * [simplify]: iters left: 5 (212 enodes) 598.511 * * [simplify]: Extracting #0: cost 1 inf + 0 598.511 * * [simplify]: Extracting #1: cost 3 inf + 0 598.511 * * [simplify]: Extracting #2: cost 6 inf + 0 598.511 * * [simplify]: Extracting #3: cost 10 inf + 0 598.511 * * [simplify]: Extracting #4: cost 20 inf + 0 598.512 * * [simplify]: Extracting #5: cost 121 inf + 0 598.512 * * [simplify]: Extracting #6: cost 248 inf + 44 598.513 * * [simplify]: Extracting #7: cost 236 inf + 4242 598.517 * * [simplify]: Extracting #8: cost 136 inf + 24126 598.528 * * [simplify]: Extracting #9: cost 26 inf + 63747 598.543 * * [simplify]: Extracting #10: cost 4 inf + 74738 598.558 * * [simplify]: Extracting #11: cost 0 inf + 79998 598.573 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 598.573 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 598.573 * * * * [progress]: [ 2208 / 4754 ] simplifiying candidate # 598.573 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 598.574 * * [simplify]: iters left: 6 (48 enodes) 598.586 * * [simplify]: iters left: 5 (242 enodes) 598.640 * * [simplify]: Extracting #0: cost 1 inf + 0 598.640 * * [simplify]: Extracting #1: cost 3 inf + 0 598.640 * * [simplify]: Extracting #2: cost 6 inf + 0 598.640 * * [simplify]: Extracting #3: cost 10 inf + 0 598.640 * * [simplify]: Extracting #4: cost 24 inf + 0 598.641 * * [simplify]: Extracting #5: cost 146 inf + 0 598.642 * * [simplify]: Extracting #6: cost 278 inf + 44 598.643 * * [simplify]: Extracting #7: cost 264 inf + 4854 598.646 * * [simplify]: Extracting #8: cost 190 inf + 18285 598.652 * * [simplify]: Extracting #9: cost 131 inf + 35283 598.665 * * [simplify]: Extracting #10: cost 18 inf + 81646 598.682 * * [simplify]: Extracting #11: cost 2 inf + 91660 598.701 * * [simplify]: Extracting #12: cost 1 inf + 93365 598.718 * * [simplify]: Extracting #13: cost 0 inf + 95070 598.735 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 598.735 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 598.735 * * * * [progress]: [ 2209 / 4754 ] simplifiying candidate # 598.736 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 598.736 * * [simplify]: iters left: 6 (41 enodes) 598.746 * * [simplify]: iters left: 5 (204 enodes) 598.790 * * [simplify]: Extracting #0: cost 1 inf + 0 598.790 * * [simplify]: Extracting #1: cost 3 inf + 0 598.790 * * [simplify]: Extracting #2: cost 6 inf + 0 598.790 * * [simplify]: Extracting #3: cost 10 inf + 0 598.790 * * [simplify]: Extracting #4: cost 24 inf + 0 598.791 * * [simplify]: Extracting #5: cost 129 inf + 0 598.791 * * [simplify]: Extracting #6: cost 236 inf + 44 598.792 * * [simplify]: Extracting #7: cost 209 inf + 6313 598.796 * * [simplify]: Extracting #8: cost 139 inf + 19748 598.801 * * [simplify]: Extracting #9: cost 98 inf + 30944 598.812 * * [simplify]: Extracting #10: cost 17 inf + 61972 598.825 * * [simplify]: Extracting #11: cost 2 inf + 72586 598.839 * * [simplify]: Extracting #12: cost 0 inf + 74956 598.855 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 598.855 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 598.856 * * * * [progress]: [ 2210 / 4754 ] simplifiying candidate # 598.856 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 598.856 * * [simplify]: iters left: 6 (48 enodes) 598.869 * * [simplify]: iters left: 5 (242 enodes) 598.923 * * [simplify]: Extracting #0: cost 1 inf + 0 598.923 * * [simplify]: Extracting #1: cost 3 inf + 0 598.923 * * [simplify]: Extracting #2: cost 6 inf + 0 598.923 * * [simplify]: Extracting #3: cost 10 inf + 0 598.924 * * [simplify]: Extracting #4: cost 24 inf + 0 598.924 * * [simplify]: Extracting #5: cost 146 inf + 0 598.924 * * [simplify]: Extracting #6: cost 278 inf + 44 598.926 * * [simplify]: Extracting #7: cost 264 inf + 4854 598.929 * * [simplify]: Extracting #8: cost 191 inf + 18284 598.935 * * [simplify]: Extracting #9: cost 129 inf + 36350 598.947 * * [simplify]: Extracting #10: cost 20 inf + 81316 598.963 * * [simplify]: Extracting #11: cost 2 inf + 92300 598.980 * * [simplify]: Extracting #12: cost 1 inf + 94005 598.998 * * [simplify]: Extracting #13: cost 0 inf + 95710 599.017 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 599.017 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (cbrt (+ (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.017 * * * * [progress]: [ 2211 / 4754 ] simplifiying candidate # 599.018 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))))) 599.018 * * [simplify]: iters left: 6 (42 enodes) 599.029 * * [simplify]: iters left: 5 (206 enodes) 599.071 * * [simplify]: Extracting #0: cost 1 inf + 0 599.071 * * [simplify]: Extracting #1: cost 3 inf + 0 599.071 * * [simplify]: Extracting #2: cost 6 inf + 0 599.071 * * [simplify]: Extracting #3: cost 10 inf + 0 599.071 * * [simplify]: Extracting #4: cost 24 inf + 0 599.073 * * [simplify]: Extracting #5: cost 129 inf + 0 599.074 * * [simplify]: Extracting #6: cost 237 inf + 44 599.075 * * [simplify]: Extracting #7: cost 225 inf + 4040 599.079 * * [simplify]: Extracting #8: cost 126 inf + 24309 599.089 * * [simplify]: Extracting #9: cost 23 inf + 62718 599.102 * * [simplify]: Extracting #10: cost 3 inf + 73591 599.116 * * [simplify]: Extracting #11: cost 0 inf + 75440 599.130 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 599.130 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (- phi1 phi2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.131 * * * * [progress]: [ 2212 / 4754 ] simplifiying candidate # 599.131 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 599.131 * * [simplify]: iters left: 6 (42 enodes) 599.142 * * [simplify]: iters left: 5 (208 enodes) 599.189 * * [simplify]: Extracting #0: cost 1 inf + 0 599.189 * * [simplify]: Extracting #1: cost 3 inf + 0 599.189 * * [simplify]: Extracting #2: cost 6 inf + 0 599.189 * * [simplify]: Extracting #3: cost 10 inf + 0 599.189 * * [simplify]: Extracting #4: cost 20 inf + 0 599.189 * * [simplify]: Extracting #5: cost 119 inf + 0 599.190 * * [simplify]: Extracting #6: cost 250 inf + 44 599.191 * * [simplify]: Extracting #7: cost 251 inf + 4854 599.195 * * [simplify]: Extracting #8: cost 157 inf + 21441 599.201 * * [simplify]: Extracting #9: cost 101 inf + 37104 599.213 * * [simplify]: Extracting #10: cost 14 inf + 75056 599.230 * * [simplify]: Extracting #11: cost 1 inf + 84461 599.246 * * [simplify]: Extracting #12: cost 0 inf + 85806 599.262 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 599.262 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.263 * * * * [progress]: [ 2213 / 4754 ] simplifiying candidate # 599.263 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 599.263 * * [simplify]: iters left: 6 (42 enodes) 599.275 * * [simplify]: iters left: 5 (210 enodes) 599.325 * * [simplify]: Extracting #0: cost 1 inf + 0 599.325 * * [simplify]: Extracting #1: cost 3 inf + 0 599.325 * * [simplify]: Extracting #2: cost 6 inf + 0 599.325 * * [simplify]: Extracting #3: cost 10 inf + 0 599.325 * * [simplify]: Extracting #4: cost 20 inf + 0 599.325 * * [simplify]: Extracting #5: cost 120 inf + 0 599.326 * * [simplify]: Extracting #6: cost 261 inf + 44 599.327 * * [simplify]: Extracting #7: cost 258 inf + 5304 599.330 * * [simplify]: Extracting #8: cost 171 inf + 18792 599.336 * * [simplify]: Extracting #9: cost 109 inf + 35628 599.349 * * [simplify]: Extracting #10: cost 17 inf + 74767 599.364 * * [simplify]: Extracting #11: cost 1 inf + 85221 599.383 * * [simplify]: Extracting #12: cost 0 inf + 86566 599.398 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 599.398 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.399 * * * * [progress]: [ 2214 / 4754 ] simplifiying candidate # 599.399 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 599.400 * * [simplify]: iters left: 6 (42 enodes) 599.410 * * [simplify]: iters left: 5 (210 enodes) 599.458 * * [simplify]: Extracting #0: cost 1 inf + 0 599.458 * * [simplify]: Extracting #1: cost 3 inf + 0 599.458 * * [simplify]: Extracting #2: cost 6 inf + 0 599.458 * * [simplify]: Extracting #3: cost 10 inf + 0 599.458 * * [simplify]: Extracting #4: cost 20 inf + 0 599.459 * * [simplify]: Extracting #5: cost 123 inf + 0 599.459 * * [simplify]: Extracting #6: cost 259 inf + 44 599.461 * * [simplify]: Extracting #7: cost 247 inf + 5746 599.464 * * [simplify]: Extracting #8: cost 165 inf + 18630 599.470 * * [simplify]: Extracting #9: cost 106 inf + 35425 599.482 * * [simplify]: Extracting #10: cost 14 inf + 73689 599.497 * * [simplify]: Extracting #11: cost 1 inf + 82961 599.512 * * [simplify]: Extracting #12: cost 0 inf + 83346 599.527 * * [simplify]: Extracting #13: cost 0 inf + 83186 599.544 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 599.544 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.545 * * * * [progress]: [ 2215 / 4754 ] simplifiying candidate # 599.545 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 599.545 * * [simplify]: iters left: 6 (35 enodes) 599.554 * * [simplify]: iters left: 5 (169 enodes) 599.589 * * [simplify]: Extracting #0: cost 1 inf + 0 599.589 * * [simplify]: Extracting #1: cost 3 inf + 0 599.589 * * [simplify]: Extracting #2: cost 6 inf + 0 599.589 * * [simplify]: Extracting #3: cost 10 inf + 0 599.589 * * [simplify]: Extracting #4: cost 20 inf + 0 599.589 * * [simplify]: Extracting #5: cost 114 inf + 0 599.589 * * [simplify]: Extracting #6: cost 222 inf + 44 599.590 * * [simplify]: Extracting #7: cost 210 inf + 2988 599.594 * * [simplify]: Extracting #8: cost 104 inf + 24100 599.604 * * [simplify]: Extracting #9: cost 14 inf + 56736 599.619 * * [simplify]: Extracting #10: cost 3 inf + 60687 599.631 * * [simplify]: Extracting #11: cost 1 inf + 63177 599.644 * * [simplify]: Extracting #12: cost 0 inf + 64482 599.656 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) 599.656 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.657 * * * * [progress]: [ 2216 / 4754 ] simplifiying candidate # 599.657 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 599.657 * * [simplify]: iters left: 6 (41 enodes) 599.667 * * [simplify]: iters left: 5 (204 enodes) 599.712 * * [simplify]: Extracting #0: cost 1 inf + 0 599.712 * * [simplify]: Extracting #1: cost 3 inf + 0 599.712 * * [simplify]: Extracting #2: cost 6 inf + 0 599.713 * * [simplify]: Extracting #3: cost 10 inf + 0 599.713 * * [simplify]: Extracting #4: cost 24 inf + 0 599.713 * * [simplify]: Extracting #5: cost 139 inf + 0 599.713 * * [simplify]: Extracting #6: cost 253 inf + 44 599.715 * * [simplify]: Extracting #7: cost 232 inf + 5382 599.718 * * [simplify]: Extracting #8: cost 166 inf + 15680 599.723 * * [simplify]: Extracting #9: cost 101 inf + 33060 599.735 * * [simplify]: Extracting #10: cost 8 inf + 70422 599.749 * * [simplify]: Extracting #11: cost 1 inf + 77317 599.766 * * [simplify]: Extracting #12: cost 0 inf + 78382 599.781 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 599.781 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.781 * * * * [progress]: [ 2217 / 4754 ] simplifiying candidate # 599.782 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))))) 599.782 * * [simplify]: iters left: 6 (33 enodes) 599.790 * * [simplify]: iters left: 5 (160 enodes) 599.823 * * [simplify]: Extracting #0: cost 1 inf + 0 599.823 * * [simplify]: Extracting #1: cost 3 inf + 0 599.823 * * [simplify]: Extracting #2: cost 6 inf + 0 599.823 * * [simplify]: Extracting #3: cost 10 inf + 0 599.823 * * [simplify]: Extracting #4: cost 24 inf + 0 599.823 * * [simplify]: Extracting #5: cost 114 inf + 0 599.823 * * [simplify]: Extracting #6: cost 201 inf + 44 599.824 * * [simplify]: Extracting #7: cost 180 inf + 3842 599.828 * * [simplify]: Extracting #8: cost 91 inf + 21380 599.838 * * [simplify]: Extracting #9: cost 19 inf + 44986 599.848 * * [simplify]: Extracting #10: cost 4 inf + 52761 599.859 * * [simplify]: Extracting #11: cost 1 inf + 55716 599.870 * * [simplify]: Extracting #12: cost 0 inf + 56861 599.881 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) 599.881 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (/ (sqrt (* (cbrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (cbrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)))))) (sqrt (* (cbrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 599.882 * * * * [progress]: [ 2218 / 4754 ] simplifiying candidate # 599.882 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (cbrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 599.882 * * [simplify]: iters left: 6 (41 enodes) 599.893 * * [simplify]: iters left: 5 (204 enodes) 599.939 * * [simplify]: Extracting #0: cost 1 inf + 0 599.939 * * [simplify]: Extracting #1: cost 3 inf + 0 599.939 * * [simplify]: Extracting #2: cost 6 inf + 0 599.939 * * [simplify]: Extracting #3: cost 10 inf + 0 599.939 * * [simplify]: Extracting #4: cost 24 inf + 0 599.939 * * [simplify]: Extracting #5: cost 139 inf + 0 599.940 * * [simplify]: Extracting #6: cost 253 inf + 44 599.941 * * [simplify]: Extracting #7: cost 228 inf + 5832 599.944 * * [simplify]: Extracting #8: cost 169 inf + 15024 599.949 * * [simplify]: Extracting #9: cost 102 inf + 33178 599.961 * * [simplify]: Extracting #10: cost 11 inf + 69884 599.975 * * [simplify]: Extracting #11: cost 1 inf + 78357 599.992 * * [simplify]: Extracting #12: cost 0 inf + 79102